The length of the hypotenuse is 13.
A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
According to the question ,
Given that , legs is 5 inches and 12 inches
how to find hypotenuse :
we know , c^{2} = a^{2} + b^{2}
⇒ c^{2}= 5^{2} + 12^{2}
⇒ c^{2} = 25 + 144
⇒ c = \sqrt{169}
⇒ c = 13
The length of the hypotenuse is 13.
Correct option is (b) 13 inches .
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Type the expression that results from the following series of steps:
Start with
g
, times by 7, then subtract
f
The scale on the horizontal axis is 5 s per division and on the vertical axis 9 m per division. What is the time represented by the third tic mark on the horizontal axis? Answer in units of s.
Using proportions, it is found that:
The time represented by the third tic mark on the horizontal axis is of 15 seconds.The position represented by the fourth tic mark on the vertical axis is of 36 meters.The position at t = 15s is of 18 m.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
On the horizontal axis, each tic represents 5 seconds, hence:
3 x 5 = 15 seconds.
The time represented by the third tic mark on the horizontal axis is of 15 seconds.
On the vertical axis, each tic represents 9 meters, hence:
4 x 9 = 36 meters.
The position represented by the fourth tic mark on the vertical axis is of 36 meters.
When t = 3 x 5 = 15s, y = 2 x 9 = 18m, hence:
The position at t = 15s is of 18 m.
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what number has 7 in tens and thousandths places,2 in the hundredths ,tenths and ones places , and 6 in the hundredths place?
The correct answer for the following question is [tex]672.227[/tex]
As per the question statement, we have to find a number that has 7 in tens and thousandths places, 2 in the hundredths, tenths and ones places and 6 in the hundreds place.
Before solving this question, we need to know about decimal place values and its operations.
Solving as per given statements,
7 in tens place, [tex]7*10=70[/tex]
7 in thousandths place, [tex]7*\frac{1}{1000} =0.007[/tex]
2 in hundredths place, [tex]2*\frac{1}{100} =0.02[/tex]
2 in tenths place, [tex]2*\frac{1}{10} =0.2[/tex]
2 in ones place, [tex]2*1=2[/tex]
6 in hundreds place, [tex]6*100=600[/tex]
Adding the above values and we will get 672.227
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please look at picture this thing is due next day
Snail will have to travel shortest distance of (C) 11 cm
The shortest distance between vertex A and vertex B will be the line directly joining the two points. This line is called diagonal and is related with length, width and height by the formula -
Diagonal = ✓(l² + w² + h²), where l represents length, w represents width and h represents height. Keep the values in formula -
Diagonal = ✓(4² + 4² + 10²)
Taking square of the number
Diagonal = ✓(16 + 16 + 100)
Performing addition on Right Hand Side of the equation
Diagonal = ✓132
Taking square root
Diagonal = 11.49 cm
Therefore, the shortest distance needed to be travelled by snail is (C) 11 cm.
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37. Multiple Choice
Which conditional and its converse are both true?
A If x= 1, then 2x 2.
B If x= 3, then x² = 6.
DIf x² = 4, then x = 2.
C If x = 2, then x² = 4.
Answer:
does ² mean ×2?
cuz if it does that maybe I can help
A (-2,y) B (4,-6), gradient: -1/6
Find y using the cross-multiply method
We use the slope equation to solve for the slope/gradient of a line:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
m = the slope[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the lineSolving the Question
We're given:
A (-2,y)B (4,-6)Gradient = [tex]-\dfrac{1}{6}[/tex][tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the given information:
[tex]-\dfrac{1}{6}=\dfrac{-6-y}{4-(-2)}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{4+2}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{6}[/tex]
Cross multiply (by multiplying the numerators by the opposite denominators):
[tex]-\dfrac{1}{6}=\dfrac{-6-y}{6}\\\\-1\times 6=6(-6-y)\\-6=-36-6y\\30=-6y\\y=-5[/tex]
Answery = -5
HELP WILL NAME BRAINLIEST
An airplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours because the plane travels 99 mph slower due to a headwind. Find the distance the plane flies between the two cities.
Using the relation between velocity, distance and time, the distance of the plane ride between Los Angeles and New York is of 270 miles.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
For the Los Angeles to New York trip, we have that the time is of 5 hours, hence:
v = d/5.
v = 0.2d.
For the return trip, we have that the time is of 6 hours, while the velocity is 99 mph slower, hence:
v - 99 = d/6.
From the first equation, we have that:
v = 0.2d.
Replacing on the second:
0.2d - 99 = d/6.
d(0.2 + 1/6) = 99
0.3667d = 99
d = 99/0.3667
d = 270 miles.
The distance of the plane ride is of 270 miles.
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The formula for simple interest is I=Prt. please help
a. Solve the formula for t.
t=
Answer:
I=Prt
I/Pr=Prt/Pr
t=I/Pr
In the figure below, the measure of 21=3x°, the measure of 22=yº, and the measure of 23=87°. Find the value of each variable.
X=
2
3
(Type a whole number.)
(Type a whole number.)
D
I have 10 minutes til class is over
Answer:
21÷3=3×÷3
7=×
-x=-7
x=7
22=y
-y=-22
y=22
The sum of 3 consecutive positive integers is 9 less than the product of the largest and smallest of the same 3 integers.
What is the smallest of these 3 integers?
The smallest integer is 4.
How to calculate the value?Let the numbers be x, x+1 and.x + 2.
Therefore, the expression will be:
x + x + 1 + x + 2 = x(x + 2) - 9
3x + 3 = x² + 2x - 9
Collect like terms
x² + 2x - 9 - 3x - 3
x² - x - 12 = 0
x² -4x + 3x - 12
x(x - 4) + 3(x - 4)
x - 4 = 0
x = 0 + 4 = 4
The smallest number is 4.
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The Difference of twice a number(n) and 7 is 9
The algebraic expression of the statement is 2n - 7 = 9
How to write as an expression?The mathematical statement is given as;
The Difference of twice a number(n) and 7 is 9
Twice a number n means 2n
So, we have
The Difference of 2n and 7 is 9
Difference means minus
So, we have
2n - 7 = 9
Hence, the algebraic expression of the statement is 2n - 7 = 9
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Mia completed the chart by first estimating the measurement around three objects in her house and then finding the actual measurement with her meter strip. What is the difference between the longest and shortest measurement
Using the subtraction between two amounts, it is found that:
The difference between the longest and shortest measurement is of 33 cm.
What are the measurements?The measurements are given as follows:
Orange: 36 cm.Mini Basketball: 41 cm.Bottom of a glue bottle: 8 cm.How to find the difference between the longest and shortest measurement?To find the difference between difference between the longest and shortest measurement, we have to subtracted the longest measurement by the shortest measures.
From the measurements given, we have that:
The longest measurement is of 41 cm, as 41 > 33 and 41 > 8.The shortest measurement is of 8 cm, as 8 < 33 and 8 < 41.Hence, the subtraction is given as follows:
41 cm - 8 cm = 33 cm.
The difference between the longest and shortest measurement is of 33 cm.
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whats an equivalent expression to 3(x+5)
Answer:
3x+15
Multiply the single term 33 by each term of the polynomial (x+5)
3x+15
What’s the answer? And write the steps on how you go the answer.
Answer:
it's a very easy question.
let the unknown point be x,y.
suppose you won $15 on a lotto ticket at the local 7-eleven and decided to spend all the winnings on candy bars and bags of peanuts. candy bars cost $0.75 each while bags of peanuts cost $1.50 each.
The slope of a line is defined as the ratio of the difference between the y-coordinate and x-coordinate of the two points m= y₂-y₁/x₂-x₁
We have total spending = $15
So the equation of the budget line will be
PсQс+ PрQр = 15
Where, Pс and Qс is the price of unit candy and quantity of candy respectively. Pр and Qр is the price of unit peanuts and quantity of peanuts respectively.
Part A:Goods A B C D E F Candy Bars 0 4 8 12 16 20Bag of peanuts 10 8 6 4 2 0
Part B :Graph of Budget line
Budget line The slope of a budget is -2 i.e ratio of the prices.
Opportunity costs remain constant as each additional unit of the product is purchased.
The opportunity cost of one more candy bar is 0.5 bags of peanuts.
The opportunity costs of one more bag of peanuts are 2 candy bars.
Part C: No, it tells only what is possible.
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helpp this is due tomorrow and i don’t understand it
Answer:
Step-by-step explanation:
Not Sure
Area of PNQ + Area of LPQ = Area of LQM
Area of LQM = 8cm² + 16cm²
Area of LQM = 24cm²
The formula for the volume of a cylinder is
V
=
π
r
2
h
,
V=πr
2
h, where
r
r is the radius of the cylinder and
h
h is the height of the cylinder. Rewrite the formula to solve for
h
h in terms of
r
r and
V
.
V.
Greetings from Brasil...
V = πr²h - isolating h
h = V/πr²Zombies lose limbs. Mutants grow limbs. Mutant-zombies do both. Today, a certain mutant-zombie grew 555 limbs, lost 121212 limbs, and grew another 222 limbs.
There are -5 limbs does the mutant zombie has compared to yesterday in linear equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Now,
Based on the given conditions, we formulate;
5 - 12 + 2
Calculate the sum or difference = - 7 + 2 = -5
We get the result = -5
Therefore, There are -5 limbs does the mutant zombie has compared to yesterday.
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Simplify expressions with distribution
4(5y + 2z) + 8z - 4(5z - 2y)
Answer:
28y - 4z
Step-by-step explanation:
Hey there!
In order to simplify this, we need to first distribute the numbers outside of the parentheses to the numbers inside the parentheses:
20y + 8z + 8z - 20z + 8y
Now we combine like terms:
28y - 4z
ou have a tv that is 30 inches tall and 40 inches wide. what is the length of the diagonal of the tv.
The length of the diagonal of the TV is 50 inches
Given that the TV is 30 inches tall and 40 inches wide.
So length of the TV, l = 30 inches
and Width of the TV = 40 inches
The angle between the length and width of the TV is right angle. So we can use Pythagoras Law here.
That is, square of the hypotenuse is equal to the sum of the squares of the base and altitude of the right triangle.
i.e., If 'd' is the diagonal of the TV, then,
[tex]d^2 = l^2 +b^2 = 30^2+40^2 = 2500[/tex]
This implies that [tex]d=\sqrt{2500}=50[/tex] inches.
So the diagonal of the TV is 50 inches long.
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Answer:
50 inches
Step-by-step explanation:
Hope this helps
Solve the equation for x.
2(x+5)+5=6x-4(-5+x)
Answer:
No solution.
Step-by-step explanation:
Simplify the equation.
2(x + 5) + 5 = 6x - 4(-5 + x) {Use distributive property}
2*x + 2*5 + 5 = 6x - 4*(-5) + (-4) * x
2x + 10 + 5 = 6x + 20 - 4x
2x + 10 + 5 = 6x - 4x + 20 {Combine like terms}
2x + 15 = 2x + 20
This equation has no solution.
cylinder a has a radius of 10 inches and a height of 5 inches. cylinder b has a volume of 750π. what is the percentage change in volume from cylinder a to cylinder b?
There is 50% increase in the change in the volume of cylinder A to A
The formula for the volume of the cylinder is given as
V = Πr^2h (1)
Where, r = radius of the cylinder
h = height of the cylinder
We have been given the radius and height of cylinder A which are,
r = 10 inches
h = 5 inches
Now putting the required values in equation (1) we get
V = Π(10)^2(5) cubic inches
V = Π*100*5 cubic inches
V = 500Π cubic inches
We have also been given the volume of cylinder B = 750Π
Thus percentage change in volume of cylinder = (750Π - 500Π)/500Π * 100
= 50%
Hence there is 50% increase in the change of the volume from cylinder A to B
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HELP ME PLEASE I AM SO CONFUSED
Answer:
19,,
Step-by-step explanation:
The graph of f(x) = x has been horizontally shrunk by a factor of 4. If no other transformations of the function have occurred, which point lies on the new graph?
(–1, –4)
(–4, –1)
(1, StartFraction one-fourth EndFraction )
(1, negative StartFraction one-fourth EndFraction )
Using translation concepts, the point that lies on the new graph is given by: (-1, -4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The equivalent translation to an horizontal shrink by a factor of a a function f(x) is given by:
f(ax).
Hence, in this problem, for the horizontal shrink by a factor of 4, the function will be given by:
g(x) = f(4x) = 4x.
Then when x = -1, the output is given by:
g(-1) = 4(-1) = -4.
The point that lies on the new graph is given by: (-1, -4).
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One of the following statements is incorrect. identify! a 3/11 < 5/13 b 5/6 < 7/8 c 2/3 > 1/2 d 7/8 > 10/11
The incorrect option is d) 7/8 > 10/11.
a) 3 / 11 < 5/13
3/11 = 0.2727
5/13 = 0.3846
As it is given 3/11 < 5/13
hence a) 3 / 11 < 5/13 is correct.
b) 5/6 < 7/8
5/6 = 0.8333
7/8 = 0.875
As it is given 5/6 < 7/8
hence b) 5/6 < 7/8 is correct.
c) 2/3 > 1/2
2/3 = 0.6666
1/2 = 0.5000
As it is given 2/3 > 1/2
hence c) 2/3 > 1/2 is correct.
d) 7/8 > 10/11
7/8 = 0.8750
10/11 = 0.9090
As it is given 7/8 > 10/11
hence d) 7/8 > 10/11 is incorrect.
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Rent controls are best illustrated by:
Answer:
E
Step-by-step explanation:
tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters. the actual length of a building at the school is 40 meters. how long is the building in the drawing?
The length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.
Let the length of the building in the drawing be x.
According to the given question.
Tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters.
So, the given sclae is 1cm : 2m
Also, the actual length of the bulding at the school is 40 meters.
Since, we have to find the the length of the building in the drawing.
Now by the proportional formula we can say that
x : 40 = 1 : 2
⇒ 2x = 40
⇒ x = 20 cm
Hence, the length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.
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Answer:
if your doing IXL than 20cm is correct
Step-by-step explanation:
Question 4
Find the values of x, y and z.
100⁰ X
B..
y
N
Answer:
y=x=70
hope this helps
Step-by-step explanation:
In parallelogram the adjacent angles are supplementary
∠TBE+y=180
110+y=180
y=70
Also, opposite angles of a parallelogram are equal.
z=∠TSE=110
y=x=70
if -16 is added to a number and the sum is doubled, the result is 1 less than the number. find the number.
The unknown number will be 31, if -16 is added to it and the sum is doubled, the result is 1 less than the number.
Let the unkown number be x.
Now according to the given question.
If -16 is added to the unknown number and the sum is doubled, the result is 1 less than the number.
⇒ (x + (-16))2 = x - 1
⇒ 2x - 32 = x - 1
⇒ 2x - x = -1 + 32
⇒ x = 31
Hence, the unknown number will be 31, if if -16 is added to it and the sum is doubled, the result is 1 less than the number.
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what reason proves that angle 2 is congruent to angle 6?
Answer:
they are the same angular size. If you put them on top of each other it would be the same.