The length of the straw is 3.74 inches.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
In rectangular box,
Length (l) = 2 inches
Width (w) = 1 inches
Height (h) = 3 inches
Here, The straw is said to fit into the box diagonally from the bottom.
So, the length (s) of the straw is calculated as:
⇒ s = √ l² + w² + h²
⇒ s = √ 2² + 1² + 3²
⇒ s = √ 4 + 1 + 9
⇒ s = √ 14
⇒ s = 3.74 inches
Thus, The length of straw = 3.74 inches
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The length of the straw will be 3.7416 inches long in radical form.
What is Length of diagonal in cuboid?If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²
Here,
As per the question the length of the straw is equal to length of the diagonal of Rectangular box.
l= 3 inch , b= 2 inch , h= 1 inch
Let us consider the length of the straw be 'x'.
As, Diagonal of Cuboid is,
X²=14
X=√14
i.e. X=3.7416
We get, X= 3.7416 (in radical form)
Hence, the length of the straw will be 5.91607 inches.
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What is the variable in 2x 3 7?
The variable in 2x + 3 = 7 is x because rest 2, 3 and 7 are constant terms only x is the variable.
What is an equation?The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.
Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.
The variable in 2x + 3 = 7 is x because rest 2, 3 and 7 are constant terms.
if we solve the above equation, we get
2x + 3 = 7
or, 2x = 7 - 3
or, 2x = 4
or, x = 2
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Please help me, I don’t get what I am supposed to be doing to find the answer.
Answer:
A=0 B=2/3 C= 1/4 D=1/6 E=1/12 F=1
Step-by-step explanation:
P means the probability
A there is no 0 so the p will be 0
B there is 8/12 odd numbers so simplified is 2/3
C there are 3/12 3s so simplified is 1/4
D there are 2/12 2s so simplified is 1/6
E there is 1/12 1s
F all numbers are less than 6
Kate can mow lawns at a constant rate of 4/5 lawns per hour. How many lawns can Kate mow in 20 hours?
Answer:
16 lawns
Step-by-step explanation:
set up a proportion:
(4/5 ÷ 1) = (x÷20)
cross-multiply:
5x = 80
x = 16
Kate can mow lawns at a constant rate of 16 lawns in 20 hour.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Kate can mow lawns at a constant rate of 4/5 lawns per hour.
Now,
Since, Kate can mow lawns at a constant rate of 4/5 lawns per hour.
Hence, In 20 hours;
Kate can mow lawns = 20 × 4/5
= 16 lawns
Thus, Kate can mow lawns at a constant rate of 16 lawns in 20 hour.
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14.13
8) Find the area of the shaded region. (use II =
3.14)
28 cm
8 cm
16 cm
9514 1404 393
Answer:
397.76 cm^2
Step-by-step explanation:
The area of the shaded region is the rectangle area less the area of the circle with diameter 8 cm. The area of the rectangle is
A = LW . . . . for length L and width W
The area of the circle is ...
A = π/4d^2 . . . . . for diameter d
Then the shaded area is ...
A = (28 cm)(16 cm) - (π/4)(8 cm)^2 = 448 cm^2 -50.24 cm^2
A = 397.76 cm^2
What is the area? ……square millimeters
Answer:320
Step-by-step explanation:
for any square or rectangle the formula for area is l*w means length times width so for this particular square the length is 16 and the width is 20 so multiply the two and you get 320 hope this helps
A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the medallion.
Answer:
Look at my in the photo
Step-by-step explanation:
Which one doesn't belong? Which triangle does not belong with the other 3? Explain your reasoning
Find the value of each variable in the following parallelograms.
Answer:
x = 15
y = 7.5
Step-by-step explanation:
✔️Diagonals of a parallelogram bisect each other at 90°.
Therefore,
2x° + 60° + 90° = 180° (sum of triangle)
Solve for x
2x + 150 = 180
2x = 180 - 150
2x = 30
2x/2 = 30/2
x = 15
✔️2x = 4y (alternate angles/corresponding angles)
Plug in the value of x
2(15) = 4y
30 = 4y
30/4 = y
7.5 = y
y = 7.5
(look at photo)
iready level h compare functions quiz
Answer:
So I would say when the number of classes is lower fishing is less expensive and when the number of canoeing classes is lower it's less expensive
Step-by-step explanation:
You have to make sure to pay attention to the label and the points in the graph and the table
What is the equation of the line graphed below?
Answer: -2/3x is the slope and the beginning amount is 5 so the equation would be -2/3x+5.
Step-by-step explanation:
Once you find the slope using the formula rise/run you will get 2/3 but since the slope is going downwards it would be -2/3 which gives you the mx. Now to find the beginning amount look where the line intersects the graph which will give you the equation.
A tudent council ell 48 badge for $432. Which equation repreent the relationhip of x badge to y dollar
The equation that represents the relationship of x number of badges to y dollars is y = 9x.
What is an equation?
A mathematical statement called an equation displays the equality of two mathematical expressions. Variables, coefficients, exponents, arithmetic operators, equal signs, and constants are some of the components that make up an equation.
An equation is said to be linear if the maximum power of the variable is consistently 1.
Let the number of badges be x and the cost of x number of badges be y.
From the question, we know that for 48 badges, the cost is $432.
So the cost of one badge = 432/48 = $9
Now the cost of x number of badges = $(9x)
We mentioned in the beginning that the cost of x number of badges is y
Therefore the equation that represent the relationship of x badge to y dollars is,
y = 9x
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In the diagram below, AB = 15, DB = 6, BC = 8, and
mZB = 90°. What is the perimeter of triangle ADC?
Answer:
B 36
Step-by-step explanation:
DC^2=6^2+8^2. AD=9cm DB=6cm
DC^2=36+64
DC^2=100
DC=√100
DC=10cm
AC^2=15^2+8^2
AC^2=225+64
AC^2=289
AC=√289
AC=17
P OF TRIANGLE ADC=10+9+17
=36cm
Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
The equation of line passing through (-9,-10) and(7,-3) will be y = (7/16)x - 1
What is slope?Slope is a measure of the steepness of a line, and it is also known as the "gradient." It is a ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. It is often represented by the letter "m" in the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).
What is the formula to find the equation of line given the two points?The formula to find the equation of a line given two points is:
y - y1 = m(x - x1)
where (x1,y1) and (x2,y2) are the coordinates of the two points on the line, and m is the slope of the line, which can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
m = (y2 - y1) / (x2 - x1)
where (x1,y1) and (x2,y2) are the coordinates of the two points.
so the slope m = (-3 - (-10)) / (7 - (-9)) = 7/16
We can use point slope form to get the equation of the line passing through the two points:
y - y1 = m(x - x1)
so the equation of the line is y - (-10) = (7/16)(x + 9)
=> y = (7/16)x + (-10) + (9 * 7/16)
=> y = (7/16)x - 1
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Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'. On a coordinate plane, 2 parallelograms are shown. Parallelogram M N P Q has points (2, negative 2), (4, negative 2), (3, negative 3), and (1, negative 3). Parallelogram M prime N prime P prime Q prime has points (5, negative 5), (10, negative 5), (8, negative 7), and (3, negative 7). Which statements are true about the parallelograms?
Which statements are true about the parallelograms? Check all that apply.
The length of side MN is 2 units.
The length of side M'N' is 5 units.
The image is smaller than the pre-image.
Sides MQ and M'Q' both have the same slope, 1.
The scale factor is 2/5
Parallelogram M'N'P'Q' is larger than parallelogram MNPQ because MN and M'N' have lengths of 2 and 5 respectively, and parallelogram MNPQ is dilated by a factor of 5/2 to give parallelogram M'N'P'Q'.
What is parallelograms?A parallelogram is a straightforward quadrilateral in Euclidean geometry that has two sets of parallel sides. In a particular kind of quadrilateral known as a parallelogram, both sets of opposite sides are parallel and equal. There are four different kinds of parallelograms, including three unique kinds. Parallelograms, squares, rectangles, and rhombuses are the four different shapes. Having two sets of parallel sides makes a quadrilateral a parallelogram. In a parallelogram, the opposing sides and angles are both the same length. On the same side of the horizontal line, the interior angles are additional angles as well. 360 degrees is the total number of interior angles.
To make parallelogram M'N'P'Q, parallelogram MNPQ was enlarged.
Points include M(2, 2), N(4, 2), P(3, 3), and Q. (1,-3)
M'(5, 5), N'(10, 5), P'(8, 7), and Q' (3,-7)
A) First, determine Minnesota's length:
|MN| = 2
|M'N'| = 4
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write a linear equation that passes through the points (2,-7) and (4,-9) and has a slope "-5"
Step-by-step explanation:
a line passing through 2 points get a slope just by these 2 points.
all we can do is to verify that the given slope is the same as the slope defined by the 2 points.
the slope is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
for our 2 points that gives us
x changes by + 2 (from 2 to 4).
y changes by -2 (from -7 to -9).
the slope is therefore
-2/+2 = -1
the question asks for a slope of -5.
that is a contradiction. there is no line possible to pass through both points and have a slope of -5.
Please help me!
When y decreases, x increases is an example of indirect variation.
True or false
Answer:
False
Step-by-step explanation:
Since it is a "one for one" deal, it would be direct variation as one varible is directly effecting another.
Jessie and his family drove up to a picnic area on a mountain. In the morning, they followed a trail that led to the mountain summit, which was 2,000 feet above the picnic area. They then returned to the picnic area for lunch. After lunch, they hiked on a trail that led to the mountain overlook, which was 3,500 feet below the picnic area. On the number line below the location of the Picnic Area, P, is represented by the value 0; the Mountain Summit, S, is represented by the value 2,000; and the Mountain Overlook, O, is represented by the value, -3,500. O P S Write the absolute value of the elevation of the Mountain Summit and Mountain Overlook Below. Mountain Summit: |2,000| = Mountain Overlook: |-3,500| =
Answer:
i. 2000 ii. 3500
Step-by-step explanation:
Since the absolute value of a number x, |x| = x if x > 0 and |x| = -x if x < 0,
i. Absolute value of Mountain Summit
Since the Mountain Summit elevation, x = 2000 - 0 = 2000, its absolute value = |2000| = 2000
ii. Absolute value of Mountain Overlook
Since the Mountain Summit elevation, x = -3500 - 0 = -3500, its absolute value = |-3500| = -(-3500) = 3500
need help fast !!!!!
Answer:
25.5
Step-by-step explanation:
Each year the tree grows by 6 inches.
Answer:
26
Step-by-step explanation:
The increase per year is 6.5 which can be derived by subtracting the first year from the second year:
13-6.5=6.5
then subtracting the second year from the third to confirm
19.5-13=6.5
So now we know the increase all we do is add:
19.5+6.5=23
Method 2: A slightly more complicated method of solving is via a linear equation which in this scenario is Hⁿ=6.5N (the n means the nth term) and then we plug 4 into it to get Hⁿ=26
A file that is 273 megabytes is being downloaded. If the download is 17.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
47.8 MB
Step-by-step explanation:
17.5% = 0.175
273 * 0.175 = 47.775
Rounded
47.8 MB
Is 7th interval perfect?
7th interval is not perfect
7th interval is not perfect
A (real) interval in mathematics is a collection of real numbers that includes all real numbers that fall within any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤1. The group of numbers such that 0 < x< 1 and the group of all real numbers are other examples of intervals.
the empty set, any singleton, the set of positive real numbers, the set of nonnegative real numbers, and (set of one element).
Real intervals are the simplest sets whose "length" (or "measure" or "size") is straightforward to define, making them significant in the theory of integration. The Borel measure and ultimately the Lebesgue measure can subsequently be produced by applying the concept of measure to more intricate sets of real numbers.
Interval arithmetic is a broad numerical computing method that automatically generates assured enclosures for all formulas, even in the presence of errors, approximations in mathematics, and arithmetic roundoff.
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I help in the next 5 min also if you could explain how to sove it would help a ton!!!
find the value of x 4 2x 3 and x+5
Answer: x4 2x 3 is 126x power of 3 + 5
HELLPP MEE ! I NEED HELP FAST
NO LINKS PLEASE:D
Find the volume of the figure. Use 3.14 for p. If necessary, round your answer to the nearest tenth.
A. 4083.6 ft^3
B. 75.6 ft^3
C. 1361.2 ft^3
D. 160.1 ft^3
Answer:
the answer is C I hope you got this answer
Find the missing side
Answer:
Step-by-step explanation:
[tex]\sqrt{61}[/tex]
please help me with this. We only need to solve number 3 and I really don’t understand it
Answer:
Step-by-step explanation:
you will take the number from one dice and the number from the other dice and simply add them together. so if one dice equals 4 and the other is 1 you would lay it out as 4+1=5 hope this helps
DUE SUN HELP ASAP BRAINIEST
A toolbox contains 36 screwdrivers and hammers. There are three times as many hammers as screwdrivers.
Write a system of linear equations that represent this situation.
How many hammers are in the toolbox?
How many screwdrivers are in the toolbox?
Answer: There are 108 hammers, and there are 36 screwdrivers. 36×3=108·
Step-by-step explanation: We know that there are more hammers than screwdrivers, so there are 36 screwdrivers but there are 3 times as many hammers so we multiply 36 by 3 to get 108.
Instructions: Find the missing length indicated.
I NEED HELP, NO LINKS PLEASE
can you explain please
Answer:
136
Step-by-step explanation:
First you need to know that there are 2 triangles in the image.
One triangle (the smaller one) has sides that measure 119 (the side) and 56 (the bottom).
The other triangle (the bigger one) has sides that measure 119 + ? (the side) and 120 (the bottom).
Let's replace the 119 + ? with an x so that the entire side length of the big triangle measures x.
1. Make a proportion using ratios. For the ratios of each triangle, we can do side over bottom lengths and then set them equal to each other.
119 = x sides
56 120 bottoms
2. You can cross multiply, or just solve for x.
119*120= 14280
14280/56= 255
3. Then subtract the total length minus 119 to find the question mark
255 - 119 = 136
PLEASE HELP PICTURE ATTACHED
Answer:
11. ∠5 and ∠7 are corresponding angles
12. ∠1 and ∠8 are alternate exterior angles
13. ∠3 and ∠6 are alternate interior angles
14. ∠6 and ∠7 are consecutive interior angles.
15. ∠1 = 58
∠2 = 122
∠3 = 58
∠5 = 122
∠6 = 58
∠7 = 122
∠8 = 58
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If you know the answer to this question please help!! ASAP
7th grade Math
Answer:
22°
Step-by-step explanation:
a right angle have 90°
So
x+68°=90°
=>x=90-68
=22°
Use technology or a z-distribution table to find the indicated area.
The masses of the eggs collected on a farm are normally distributed with a mean of 55 grams and a standard deviation of 4.2 grams.
Approximately 80% of the eggs on the farm have a mass greater than which mass?
51.5 g
54.1 g
55.8 g
58.5 g
Answer:
51.5g or A
I took a test with this question and got it right
Using the normal distribution, it is found that approximately 80% of the eggs on the farm have a mass greater than 51.5 g.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 55, \sigma = 4.2[/tex].
Approximately 80% of the eggs on the farm have a mass greater than the 20th percentile, which is X when Z = -0.84, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 55}{4.2}[/tex]
X - 55 = -0.84 x 4.2
X = 51.5 g.
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How do you solve 3 composite functions?
To solve 3 composite functions, you would need to break each function down into its individual components. Then, you would need to combine each component one at a time, starting with the outermost function and working your way inwards.
1. Break each function down into its individual components. This may involve splitting them into simpler functions such as polynomials, exponentials, trigonometric functions, and so on.
2. Start with the outermost function and combine each component one at a time. Make sure to apply the order of operations to each step in order to get the correct result.
3. Evaluate the combined function. This means solving for the output of the function, which may involve plugging in values for certain variables.
4. Repeat the same process for the other two functions.
5. When you have evaluated all three functions, you can combine the results of each to get the answer to the composite functions.
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