Answers
Answer:
M = 1/8t - 223.05
Step-by-step explanation:
Related Questions
PLS Help
The units cfu/g represent colony-forming units per gram and its often used to measure colonies of bacteria on a petri dish. E. Coli bacteria generally increase by 3.5265% per minute at room temperature. An acceptable amount of E. Coli bacteria is less than 100 cfu/g. Suppose my sandwich initially has an E. Coli count of 10 cfu/g. (cfu/g means colony-forming unit per gram).
a. After 1 minute, what is the amount of E. Coli in my sandwich?
b. After 2 minute, what is the amount of E. Coli in my sandwich?
c. After 3 minute, what is the amount of E. Coli in my sandwich?
d. After 10 minute, what is the amount of E. Coli in my sandwich?
e. After 60 minute, what is the amount of E. Coli in my sandwich?
f. After 90 minute, what is the amount of E. Coli in my sandwich?
Answers
Coli present in my sandwich increases by 3.5265% per minute at room temperature. After 90 minutes, the amount of E. Coli present in my sandwich is 85.02 cfu/g, which is much higher than the acceptable limit of 100 cfu/g.
What is amount?Amount refers to the total sum of money or value of goods, services, or resources. It's usually the result of a calculation or the total of several different things added together. Amounts can also refer to the size, quantity, or degree of something. For example, one might say the amount of time it takes to complete a task.
a. After 1 minute, the amount of E. Coli in my sandwich is 10.3533 cfu/g. This was calculated by multiplying 10 (the initial cfu/g) by 1.0352 (3.5265% increase).
b. After 2 minutes, the amount of E. Coli in my sandwich is 10.716 cfu/g. This was calculated by multiplying 10 (the initial cfu/g) by 1.0716 (3.5265% increase).
c. After 3 minutes, the amount of E. Coli in my sandwich is 11.0861 cfu/g. This was calculated by multiplying 10 (the initial cfu/g) by 1.1086 (3.5265% increase).
d. After 10 minutes, the amount of E. Coli in my sandwich is 14.14 cfu/g. This was calculated by multiplying 10 (the initial cfu/g) by 1.4140 (3.5265% increase).
e. After 60 minutes, the amount of E. Coli in my sandwich is 56.68 cfu/g. This was calculated by multiplying 10 (the initial cfu/g) by 5.668 (3.5265% increase).
f. After 90 minutes, the amount of E. Coli in my sandwich is 85.02 cfu/g. This was calculated by multiplying 10 (the initial cfu/g) by 8.502 (3.5265% increase).
From the above calculations, it is evident that the amount of E. Coli present in my sandwich increases by 3.5265% per minute at room temperature. After 90 minutes, the amount of E. Coli present in my sandwich is 85.02 cfu/g, which is much higher than the acceptable limit of 100 cfu/g. This is why it is important to store and consume food with E. Coli count below the acceptable limit and refrigerating food can help in reducing the growth of bacteria.
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A bag contains white marbles and yellow marbles, 49 in total. The number of white marbles is 1 more than 5 times the number of yellow marbles. How many white marbles are there?
Answers
Answer:
there are 41 white marbles in the bag.
Step-by-step explanation:
Let's use the variable w to represent the number of white marbles and y to represent the number of yellow marbles.
From the problem, we know that:
w + y = 49 (since there are 49 marbles in total)
And we also know that:
w = 5y + 1 (since the number of white marbles is 1 more than 5 times the number of yellow marbles)
Now we can use substitution to solve for w:
w + y = 49
(5y + 1) + y = 49 (substitute w = 5y + 1)
6y + 1 = 49 (combine like terms)
6y = 48 (subtract 1 from both sides)
y = 8 (divide both sides by 6)
Now we know there are 8 yellow marbles. We can use this information to find the number of white marbles:
w = 5y + 1
w = 5(8) + 1
w = 41
Q6b. The teenager from the question above rejoins the group and another teenager is picked at random.
What is the probability that the teenager picked at random is male and their favourite hobby is playing video games? You can simplify this fraction if you wish.
Answers
Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.
what is probability ?Probability is a mathematical concept that expresses the possibility or chance of an event happening. It is stated as a number between 0 and 1, where 0 denotes the impossibility of an event and 1 denotes its certainty. By dividing the number of favorable outcomes by the entire number of possible possibilities, the probability of an event is determined.
given
The odds of selecting a male adolescent at random are x/n, while the odds of selecting a teen whose preferred pastime is playing video games are y/n.
As these two occurrences are separate, the likelihood that both will occur is the product of the probabilities:
The odds of selecting a male teen who enjoys video games are (x/n) * (y/n) = xy/n2.
By dividing the numerator and denominator by the greatest common factor (GCF) of x and y, if one exists, this can be made simpler.
For instance, the probability is simplified as follows if x=4 and y=6, where the GCF is 2:
Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.
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find the first three terms of the expansion of the following in acceding power of x ((x +2)/(1+x)*2)
Answers
Step-by-step explanation:
((x+2)/(1+x)*2)2x +3*22x+6x+6*2x+12A rectangle has an area of
72 square centimeters. The width of the rectangle is 8 centimeters.
Answers
Answer:
[tex]\boxed{\bf length=9\; cm}[/tex]Step-by-step explanation:
Given:-
Area = 72
width = 8
Area = length × width
[tex]\bf 72=length \times 8[/tex]
Divide 72 / 8:-
[tex]\bf length=9\; cm[/tex]
If you're asking to find the length, this's your answer.
____________________________
Hope this's what you're looking for!
if g(x) = f(1/3x) which statement is true
Answers
B. The graph οf functiοn f is stretched hοrizοntally by a scale factοr οf 3 tο create the graph οf functiοn g.
What is linear transfοrmatiοn?A linear transfοrmatiοn is a functiοn that mοves frοm οne vectοr space tο anοther while maintaining the underlying (linear) structure οf each vectοr space.
The rules fοr linear transfοrmatiοns are that
g(x) = a·f(b·(x-c)) +d
stretches the graph vertically by a factοr οf "a" (befοre the shift)
cοmpresses the graph hοrizοntally by a factοr οf "b" (befοre the shift)
shifts it tο the right by amοunt "c"
shifts it up by amοunt "d".
Yοur equatiοn has b=1/3, sο the graph is cοmpressed by a factοr οf 1/3, which is equivalent tο a stretch by a factοr οf 3.
The apprοpriate chοice οf descriptiοn is ...
b) the graph οf g(x) is hοrizοntally stretched by a factοr οf 3
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Complete Question:
Select the correct answer. If , which statement is true? if g(x) = f(1/3x)
A. The graph of function f is stretched vertically by a scale factor of 3 to create the graph of function g.
B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.
C. The graph of function f is compressed horizontally by a scale factor of to create the graph of function g.
D. The graph of function f is compressed vertically by a scale factor of to create the graph of function g.
the worlds population hit 8 billion in 2022. suppose the population increases exponentially with doubling time of 60 years. what population can we expect in the year 2100. Answer in billions
Answers
Therefore, we can expect the world population to be around 17.6 billion in the year 2100 if it continues to increase exponentially with a doubling time of 60 years.
What is decimal place?A decimal place is a position in a number that is to the right of the decimal point. It represents a fractional part of the number. For example, in the number 3.14159, the digit "1" is in the tenths place, the digit "4" is in the hundredths place, the digit "1" is in the thousandths place, and so on. Each place value to the right of the decimal point represents a power of 10 that is negative, such as tenths, hundredths, thousandths, ten-thousandths, and so on. The number of decimal places determines the degree of precision in the number.
by the question.
To determine the population in the year 2100, we need to calculate how many times the population will double between 2022 and 2100, which is 78 years.
78 years divided by 60 years is approximately 1.3, which means that the population will double 1.3 times between 2022 and 2100.
2 to the power of 1.3 is approximately 2.2, which means that the population in 2100 will be 2.2 times the population in 2022.
So, the population in 2100 will be:
8 billion x 2.2 = 17.6 billion (rounded to one decimal place)
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A total of 5 identical pencils cost $6.50. What was the price for each individual pencil?
Answers
Answer:
Step-by-step explanation:
1.3
just divdve
The point S=(8,7) is the center of the circle O. Through the point M=(-5,-2) is drawn a secant k, whose distance from the point S is equal to 5, and a tangent l to the circle O. The secant k intersects the circle O in the points B and C. Point A is the common point of tangent l and circle O, and segment AC is the diameter of this circle.
Determine the equation of the circle O.
Answers
The equation for the circle O, given the diameter, the secant K and the common point of tangent I, is:
(x - 8)² + (y - 7)² = 15²
(x - 8)² + (y - 7)² = 225
How to find the equation of the circle ?To determine the equation of the circle O with center S(8, 7) and point M(-5, -2) on the secant k, we first need to find the radius of the circle.
Given that the distance from point S to secant k is 5, we can use the Pythagorean theorem to find the length of MA, which is equal to the radius of the circle.
MA² + AS² = MS²
MA² + 5² = MS²
Calculate the distance between points M and S:
MS = √((8 - (-5))² + (7 - (-2))²) = √(13² + 9²) = √(169 + 81) = √250
Now we can find the length of MA:
MA² + 5² = 250
MA² = 250 - 25 = 225
MA = √225 = 15
The equation of a circle with center (h, k) and radius r is given by:
(x - h)² + (y - k)² = r²
Using the given center S(8, 7) and radius 15, the equation of the circle O is:
(x - 8)² + (y - 7)² = 15²
(x - 8)² + (y - 7)² = 225
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Two trains leave towns 648 miles apart at the same time and travel toward each other. One train travels 14 mi/h faster than the other. If they
meet in 4 hours, what is the rate of each train?
Answers
We can conclude after answering the presented question that Hence the equation slower train's speed is 13.25 miles per hour, while the faster train's speed is 27.25 miles per hour (13.25 + 14).
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or readings of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the calculation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
Because we know the two trains are going in the same direction, their relative speed equals the total of their speeds, which is (x + x+14) = 2x + 14.
We also know that the distance between them is shrinking at a pace of 648 miles in 4 hours, or at a rate of 648/4 = 162 miles per hour.
[tex]162 = (2x + 14) x 4 = distance = rate x time\\162 = 8x + 56\\106 = 8x\sx = 13.25\\[/tex]
Hence the slower train's speed is 13.25 miles per hour, while the faster train's speed is 27.25 miles per hour (13.25 + 14).
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emily invests $6,398 in a retirement account with a fixed annual interest rate compounded continuously .After 16 years the balance Reaches $9,483.80. What is the interest rate of the account?
Answers
Consequently, the retirement account's income rate is roughly 3.8%. (rounded to one decimal place).
What is an interest example?Consider borrowing $1,000 at a 10% interest rate for seven years. Your interest for the first year would be $100. Your interest payment for the following year would be made up of the original sum plus interest, or $1,100. As a result, your income for the following year would be $110 ($1,100 multiplied by 0.10).
The interest rate can be calculated using the continuous compounding formula:
[tex]A=P e^{r t}[/tex]
where:
A = final balance = $9,483.80
P = initial investment = $6,398
r = rate
t = time in years = 16
Substituting the given values, we have:
$9,483.80 = $6,398[tex]e^{r16}[/tex]
Dividing both sides by $6,398, we get:
1.4829 = [tex]e^{r16}[/tex]
Using the simple logarithm of both parts, the following is obtained:
ln(1.4829) = r × 16
Solving for r, we get:
r = ln(1.4829)/16
r ≈ 0.038
Therefore, the interest rate of the retirement account is approximately 3.8% (rounded to one decimal place).
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Find X using Sine law
Answers
[tex]\textit{Law of sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin(x)}{32}=\cfrac{\sin(50^o)}{40}\implies \sin(x)=\cfrac{32\sin(50^o)}{40} \\\\\\ x=\sin^{-1}\left[ \cfrac{32\sin(50^o)}{40} \right]\implies x\approx 37.79^o[/tex]
Make sure your calculator is in Degree mode.
Marie plants flowers in a planter that is 3 1/2 feet long and 2 2/3feet wide. She plans to cover the entire area with fertilizer. How much area will she need to spread with fertilizer?
Answers
Answer:
The answer would be 9 and 1/3
Step-by-step explanation:
3 and 1/2 times 2 and 2/3 gives you 9.3333333 which is rounded to 9 and 1/3.
What would the answer be?
Answers
The dilation of the black figure to blue figure is a reduction with a scale factor of 0.5
How to find the scale of dilation?A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.
It can either be an enlargement or a reduction.
An enlargement means a scale factor greater than 1 while a reduction is a scale factor less than 1.
Thus, this dilation is a reduction.
Coordinates of initial figure are:
(-8, 10), (10, 10), (8, -8), (2, -8)
Coordinates of dilated figure are:
(1, -4), (4, -4), (-4, 5), (5, 5)
Thus, it is clear that the scale factor is 0.5
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A fair die is tossed three times - Find the probability that a prime even number Showed twice.
Answers
Answer:
Step-by-step explanation:
Total no. of possible outcomes = 6 (1,2,3,4,5,6,)
As given we have only one prime even no. from the above given set, that is 2.
Let's call this event A.
Total no. of favourable outcomes =P(A)= 1
Therefore the probability is P(A)= 1/6
In the given Fig. PQR is a triangle, right angled at Q. If XY || QR, PQ = 6 cm, PY = 4 cm and PX : XQ = 1 : 2. Calculate the lengths of PR and QR.
Answers
Basic Proportionality Theorem (BPT): If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. This is also known as Thales theorem.
Given:
[tex]\angle Q= 90^\circ , XY \ || \ QR, PQ = 6 \ \text{cm}, PY = 4 \ \text{cm} \ \text{and} \ PX : XQ = 1 : 2[/tex]
Since, [tex]XY \ || \ QR[/tex],
[tex]PX/XQ = PY/YR[/tex]
[ By Thales theorem (BPT)]
[tex]\dfrac{1}{2} = PY/YR[/tex] [tex][PX : XQ = 1 : 2][/tex]
[tex]\dfrac{1}{2} = 4 /(PR - PY)[/tex]
[tex][YR= PR - PY][/tex]
[tex]\dfrac{1}{2} = 4 /(PR - 4)[/tex]
[tex]PR - 4 = 2 \times 4[/tex]
[tex]PR - 4 = 8[/tex]
[tex]PR = 8 +4[/tex]
[tex]PR = 12 \ \text{cm}[/tex]
In right [tex]\Delta PQR[/tex],
[tex]PR^2 = PQ^2 + QR^2[/tex]
[ By Pythagoras theorem]
[tex]12^2 = 6^2 + QR^2[/tex] [tex][\text{Given} : PQ= 6 \ \text{cm}][/tex]
[tex]144 = 36 + QR^2[/tex]
[tex]144 - 36 + QR^2[/tex]
[tex]108= QR^2[/tex]
[tex]QR =\sqrt{108} =\sqrt{3\times36} = 6\sqrt{3} \ \text{cm}[/tex]
Hence, the lengths of PR and QR is 12 cm and [tex]6\sqrt{3}[/tex] cm.
(4,-3) with undefined slope
Answers
Answer:
x = 4
Step-by-step explanation:
assuming you require the equation of the line passing through the given point.
A line with an undefined slope is a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (4, - 3 ) with x- coordinate 4 , then
x = 4 ← equation of line
Can you solve this question?
f'(3)=?
Answers
Answer:
Step-by-step explanation:
[tex]f(x)=16e^x-ex^e[/tex]
[tex]f'(x)=16e^x-e^2x^{e-1}[/tex]
[tex]f'(3)=16e^3-e^23^{e-1}[/tex]
[tex]f'(3)=e^2(16e-3^{e-1})[/tex]
To the nearest tenth of a second, how long after the pebble falls will it hit the ground?
s
Answers
Answer:
Ask away by typing or recording your messageAdam, Ben and Carly work out the mean of their ages.Adam is 4 years older than the mean. Ben is 1 year younger than the mean.Is Carly older or younger than the mean?By how many years?Let's start by finding the mean of their ages. We can do this by adding their ages and dividing by the number of people: Mean = (Adam's age + Ben's age + Carly's age) / 3 Let's call the mean "M" for now. We can use this to create two equations based on the information given: Adam = M + 4 Ben = M - 1 We can substitute these equations into the mean equation to get: M = (M + 4 + M - 1 + Carly's age) / 3 Simplifying this equation gives us: 3M = 2M + 3 + Carly's age Carly's age = M - 3 So Carly's age is younger than the mean by 3 years.Hey ✋, are you still around? anything else on your mind?To the nearest tenth of a second, how long after the pebble falls will it hit the ground?sTo answer this question, we need to know the height from which the pebble was dropped. We can use the formula: time = sqrt(2 * height / acceleration due to gravity) Assuming the pebble was dropped from a height of 10 meters, and taking the acceleration due to gravity as 9.8 m/s^2, we get: time = sqrt(2 * 10 / 9.8) = 1.43 seconds (to two decimal places) Therefore, the pebble will hit the ground approximately 1.43 seconds after it was dropped.
0 / 350
how many thirds in 6 2/3
Answers
Answer:
20
Step-by-step explanation:
it take 3 ⅓ to make a whole so to makee 6 wholes it would take 18 and 2 more thirds and that would 20 ⅓ in 6 ⅔
Divide: (x2 – 3x – 33) = (x + 4)
Answers
Answer:
x2-3x-33=x+4
<=> x2-3x-x-33-4=0
<=> x2-4x-37=0
<=> x=2 + square root(41) or 2- square root(41)
PLEASE HELP. tons of points for reward
answer like this…
69)
70)
71)
72)
Answers
Step-by-step explanation:
69) If 10 packages of shallots cost $40, then the cost of one package of shallots can be calculated as:
$40 ÷ 10 packages = $4 per package
To find out how many packages of shallots can be purchased with $8, divide the total amount of money by the cost per package:
$8 ÷ $4 per package = 2 packages
Therefore, with $8, you can buy 2 packages of shallots.
70) If three Bosc pears cost $2, we can use a proportion to determine how many pears we can buy for $4:
3 pears / $2 = x pears / $4
Cross-multiplying, we get:
3 pears × $4 = $2 × x pears
Simplifying, we get:
12 = 2x
Dividing both sides by 2, we get:
x = 6
Therefore, with $4, you can buy 6 Bosc pears.
71)If the exchange rate is 11 pounds for every $2, we can use a proportion to determine how many pounds we can get if we exchange $4:
11 pounds / $2 = x pounds / $4
Cross-multiplying, we get:
11 pounds × $4 = $2 × x pounds
Simplifying, we get:
44 = 2x
Dividing both sides by 2, we get:
x = 22
Therefore, if you exchange $4, you can get 22 pounds.
72) If 9 packages of basil cost $27, we can use a proportion to determine how many packages of basil we can buy for $9:
9 packages / $27 = x packages / $9
Cross-multiplying, we get:
9 packages × $9 = $27 × x packages
Simplifying, we get:
81 = 27x
Dividing both sides by 27, we get:
x = 3
Therefore, with $9, you can buy 3 packages of basil.
HELP ASAP
A net of a rectangular prism is shown.
A net of a rectangular prism with dimensions 5 and three-fourths centimeters by 4 centimeters by 11 and three-fourths centimeters.
What is the surface area of the prism?
five hundred fifty and one-fourth cm2
four hundred twelve and three-fourths cm2
two hundred seventy-five and one-eighth cm2
one hundred thirty-seven and nine-sixteenths
Answers
Hence, the rectangular prism has a surface area of 280 and 1/4 [tex]cm^2[/tex] as the rectangular prism has the measurements .
what is rectangle ?A hexagon having four right angles (90º angles) and opposing sides of equal length is called to as a rectangle. It is a particular kind of rectangle in which every angle is a right angle. A rectangle has parallel opposed sides and diagonals that cut it in half. The length (l) and breadth (w), which have been perpendicular to one another, define a rectangle. A rectangle's area is equal to the product of the its width and length, or lw, and its perimeter is equal to the sum of all of its sides, or 2(l+w). In geometry, math, and daily life, such as in doors, frames, and picture frames, rectangles are frequently occurring forms.
given
The rectangular prism has the following measurements: 5 centimetres by 4 centimetres by 11 and three-quarters centimetres.
The region of each face is thus:
Face 1: 5 3/4 cm x 4 cm equals 23 [tex]cm^2[/tex]
Face 2: 5 and 3/4 inches by 11 and 3/4 inches is 70 and 1/8 centimetres square.
Face 3: 4 cm x 11 3/4 cm equals 47 [tex]cm^2[/tex]
Total surface area = 23 cm2 + 70 eighths of a cm2 + 47 eighths of a [tex]cm^2[/tex] + 23 eighths of a cm2
Surface area total = 280 and 1/4 [tex]cm^2[/tex]
Hence, the rectangular prism has a surface area of 280 and 1/4 [tex]cm^2[/tex] as the rectangular prism has the measurements .
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Acellus
Acellus
Length of Arcs
Find the length of AB. Leave
your answer in terms of π.
27
A
20° AB =[?]T
B
l'o
Answers
The length of arc-AB = 3π
Define the term Circle identities?The Circle identities refer to a set of fundamental identities in trigonometry that relate the six trigonometric functions of an angle in a right-angled triangle.
Given circle;
arc-AB (θ) = 20° and radius, r = 27
We know the formula,
length of arc = (θ/360°) × 2πr
after putting the values,
length of arc-AB = (20°/360°) × 2π × 27
length of arc-AB = (1/18) × 54π = 3π
Therefore, the length of arc-AB = 3π
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The length of arc-AB = 3π. The Circle identities are a collection of trigonometric fundamental identities that relate to the six trigonometric properties of an angle in a right-angled triangle.
How do I find the length of an arc?The central angle and sector area are required to compute arc length without radius: Divide the value by the central angle in radians after multiplying the area by two. Calculate the square root of this fraction. To get the arc length, multiply this root by the centre angle once more. The arc length is shown to be identical to the radius length. Radians are the ratio constant between an arc length and a radius length.
Given circle;
arc-AB (θ) = 20° and
radius, r = 27
The length of an arc,
length of arc = (θ/360°) × 2πr
after substituting the values,
length of arc-AB = (20°/360°) × 2π × 27
Simplify the above equation,
length of arc-AB = (1/18) × 54π = 3π
Therefore, the length of arc-AB = 3π
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Evaluate the expression. Round to the nearest tenth
Answers
Answer: 3.
Step-by-step explanation:
1 times 1/5 is 1/5.
1/5+ 2 times 1/5 is 1/5+2/5
1/5+2/5+ 3 times 1/5 is 1/5+2/5+3/5
1/5+2/5+3/5+ 4 times 1/5 is 1/5+2/5+3/5+4/5
1/5+2/5+3/5+4/5+ times 1/5 is 1/5+2/5+3/t+4/5+5/5
1/5+2/5+3/5+4/5+5/5=15/5
15/5=3
5 inches is
times as big as 1 inch.
12.7 centimeters is
times as big as 2.54 centimeters.
Answers
Answer:
d
Step-by-step explanation:
believe me it's d because it says it in the text above u just have to read it carefully
Find the value of x.
13)
(2x+8)
62°
14)
rights serve d.-1-M a de
(x-4) (2x+1)
Infinite Geometry
Answers
In the given right angle, the required value of x is 10° respectively.
What is the right angle?Right-angled shapes can be any polygon, ranging from triangles to figures with numerous sides.
Right-angled shapes like squares and rectangles have exactly 4 right angles that add up to 360 degrees.
Right angles can also be found in other shapes like trapezoids, pentagons, and hexagons.
An angle with a measure of exactly 90 degrees (or /2) is referred to as a right angle.
The proper angles are frequently demonstrated in everyday life. For instance, the edges of the cardboard or the corner of a book.
So, we know that the given angles together make a right angle as:
2x + 8 + 62 = 90
Then, solve for x as follows:
2x + 8 + 62 = 90
2x + 70 = 90
2x = 90 - 70
2x = 20
x = 20/2
x = 10
Therefore, in the given right angle, the required value of x is 10° respectively.
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what is 6 of 1/4, can someone please give me an answer.
Answers
The value of the operation 6 of 1/4 is 3/2
What are fractions?Fractions are simply described as part of a whole number, element or variable.
There are different types of fractions in mathematics. They include;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsSome examples of simple fractions are; 1/2 , 2/3
Some examples of mixed fractions are; 2 1/3, 4 1/2
Some examples of improper fractions are; 3/2, 4/3
From the information given, we have that;
6 of 1/4,
'of' in this sense means multiplication, then, we get;
6 × 1/4
Multiply the values
6/4
Divide
3/2
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what is the value of b
Answers
Answer:
b=46
Step-by-step explanation:
First we know that the sum of all three angles is 180. So that gives us the equation 2b+88=180, then we can solve.
2b=180-88
2b=92
b=46
So that means b=46!
As you may know, a straight line = 180°
Since we already have 88° as one of the values, we can simply subtract that from 180.
180 - 88 = 92
Next, divide 92 by 2
92 ÷ 2 = 46
With that being said, we can conclude that the value of B is 46.
You can double check this by adding all of the values together: 46 + 46 + 88 = 180
Use the Pythagorean Theorem to find the lengths of the
sides of the triangle.
26
2x-14
Answers
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{26}\\ a=\stackrel{adjacent}{2x}\\ o=\stackrel{opposite}{2x-14} \end{cases} \\\\\\ (26)^2= (2x)^2 + (2x-14)^2\implies 676 = (4x^2)+(4x^2-56x+14^2) \\\\\\ 676=4x^2+4x^2-56x+14^2\implies 676=8x^2-56x+196 \\\\\\ 0=8x^2-56x-480\implies 0=8(x^2-7x-60) \\\\\\ 0=x^2-7x-60\implies 0=(x-12)(x+5)\implies x= \begin{cases} ~~ 12 ~~ \checkmark\\ -5 ~~ \bigotimes \end{cases}[/tex]
now, -5 is a valid value for "x", however in this case we can't use it, because that makes one of our sides negative and all sides must be a positive value.
[tex]\stackrel{ 2(12) }{\text{\LARGE 24}}\hspace{5em}\stackrel{ 2(12)-14 }{\text{\LARGE 10}}\hspace{5em}\text{\LARGE 26}[/tex]