Find the surface area of the prism 5 m 5 m 4 m 7 m 6 m​

Answer:

5

Step-by-step explanation:

Find the z-scores.

z = (x − μ) / σ

z₁ = (92 − 82) / 5

z₁ = 2

z₁ = (97 − 82) / 5

z₂ = 3

Find the probability:

P(92 < X < 97)

P(2 < Z < 3)

P(Z < 3) − P(Z < 2)

0.9987 − 0.9772

0.0215

Find the number of tests:

0.0215 (241) ≈ 5

Answer:

12.5cm

Step-by-step explanation:

Each side of the pentagonal  garden has a length of 2.5 cm.

A pentagon has 5 sides.

Since the garden has congruent sides, all its lengths are equal.

Therefore:

Distance Walked by Tanya

= 5 X 2.5

=12.5cm

Tanya has walked 12.5cm in total.

Answer:

1/3.  To reduce a fraction, divide both the numerator and denominator by the GCF.

Answer:

addition

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

PEMDAS: Parentheses, Exponent, Multiply, Divide, Add, Subtract. (The multiply and divide can be swapped, as well as the add and subtract :3) Hope this helps! :D

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

1/2 is less than

Step-by-step explanation: 1/2 is only 50% while 4/5 is 80%

Answer:

Step-by-step explanation:

first: x+(1/4)

second: (-1/3 )x +1/4

third: (3/4)x +1/3

\(\huge \rm༆ Answer ༄\)

Measure of each side of a triangle can't be greater than the sum of the other two sides and can't be smaller than the difference between the two other sides. therefore the most appropriate choice is ~

I hope it helps ~

We have:

1) 3 + 5 = 8 ⇒ wrong

2) 4 + 7 > 9 ⇒ right

3) 2 + 11 < 15 ⇒ wrong

ANSWER: 4 cm, 7 cm, 9 cm

Ok done. Thank to me :>

Answer:

3.1 gallons

Step-by-step explanation:

To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that

miles of gas / gallons = miles of gas / gallons

23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house

If we write the gallons needed to go to Bob's mother's house as g, we can say

23 miles / 1 gallon = 72 miles/g

multiply both sides by 1 gallon to remove a denominator

23 miles = 72 miles * 1 gallon /g

multiply both sides by g to remove the other denominator

23 miles * g = 72 miles * 1 gallon

divide both sides by 23 miles to isolate the g

g = 72 miles * 1 gallon/23 miles

= 72 / 23 gallons

≈ 3.1 gallons

Answer:

Its depending on the angle

Answer:

its 20, because I said it

Step-by-step explanation:

so 5+5=10

30-10=20

On solving the provided question, we can say that  Make a table with the x,y coordinates of each vertex.

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

Make a table with the x,y coordinates of each vertex.

Vertical left side of the table  A ,B,C D.. A again (From top to bottom)

Horizontal top of the table : x,y(  From left to right)

Start at any vertex and go around the polygon in either direction.

Add the starting vertex again at the end.

Combine the first two rows by:

Multiplying the first row x by the second row y

Multiplying the first row y by the second row x

Subtract the second product form the first.

Repeat this for rows 2 and 3, then rows 3 and 4 and so on.

Add these results, make it positive if required, and divide by two.

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The vector addition of vector a = < 4, - 3 > and b = < - 1, - 2 > is given by,

a + b = < 3, -5 >

The graph of the vector sum is given below.

The addition of vectors suggests the addition of the corresponding components of the involving vectors.

Given the vectors are:

a = < 4, - 3 >

b = < - 1, - 2 >

So doing vector addition we get,

a + b = < 4, - 3 > + < - 1, - 2 > = < (4 + (-1)), (-3+(-2)) > = < (4 - 1), (-3 -2) > = < 3, -5>

Head to tail method is a method to draw vector addition, where the initial point of a vector involved in vector addition is started from tail point of another vector involved in vector addition.

Using vector tool we draw the vector addition of given vectors 'a' and 'b' we get,

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Answer: Look at the image below

Step-by-step explanation: I took the test.

Step 1: Select Vector

Step 2: Click on (0, 0), then click on (4, -3); (for every point your going to have to click on where you start then where you want to go.)

Step 3: Click on (4, -3), then (3, -5). Why?: ((4 - 1), (-3 - 2)) = (3, -5)

Step 4: To complete the problem and thus completing the "head to tail" method, you need to click on the origin (0,0) and finally click on (3, -5)

Your answer should now look like mine, now go get that A.

Answer:

\(\sqrt{\frac{5}{2} }\)

Step-by-step explanation:

We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).

The sides are a, b (which equals a) and, c (which equals a*square root of 2).

In this triangle we are given c, and tasked at finding a. Since c= \(a*\sqrt{2}\), then we know that, \(\sqrt{5}= a*\sqrt{2}\).  Divide the equation by square root of 2 to find a. Which equals \(\sqrt{\frac{5}{2} }\)

Answer:

A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. The first five cube numbers are: 1, 8, 27, 64 and 125. ...

1. Mean = 33.61

2. Standard Deviation = 11.3284

3. Variance = 128.33

The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)

To get mean, we will sum up all the numbers and divide by the total count. The mean is:

= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8

= 268.9 / 8

= 33.62

Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)

= \(\sqrt{128.3336}\)

= 11.3284420818

= 11.3284

Variance = (Standard Deviation)^2

Variance = \(11.3284 ^2\)

Variance = 128.33264656

Variance = 128.33.

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The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.

The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.

To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.

We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,

the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,

we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.

The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7

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Answer:

1/360

Step-by-step explanation:

A full circle corresponds to a central angle of 360°.

A 1° angle corresponds to 1/360 of a full circle.

Answer:

1/360

Step-by-step explanation:

1° angle corresponds to 1/360 of a whole circle

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Answer:

I think it's simple sentence

Answer:

ROS=72° TOS=83°

Step-by-step explanation:

(4x-20)+(3x+14)=155

7x-6=155

7x=161

x=23

4(23)-20=72

3(23)+14=83

Answer:

ROS is 72 degrees.

TOS is 83 degrees.

Step-by-step explanation:

So we know that the measure of Angle ROT is 155.

Angle ROT is the combined value of Angle ROS and Angle TOS. In other words:

\(ROT=ROS+TOS\)

Substitute 155 for ROT, (4x-20) for ROS, and (3x+14) for TOS. Thus:

\(155=(4x-20)+(3x+14)\)

Combine like terms:

\(155=(4x+3x)+(-20+14)\)

Add:

\(155=7x-6\)

Add 6 to both sides:

\(161=7x\)

Divide both sides by 7:

\(x=23\)

So, the value of x is 23.

Now, plug that into each of the Angle equations to solve for each angle:

\(ROS=4x-20\\ROS=4(23)-20\)

Multiply:

\(ROS=92-20\)

Subtract:

\(ROS=72\)

Same thing for TOS:

\(TOS=3x+14\\TOS=3(23)+14\)

Multiply:

\(TOS=69+14\)

Add:

\(TOS=83\)

And we're done!

Answer:

1 57/100

Step-by-step explanation:

Quick way:

Add a zero to the end of the denominator and numerator in 7/10 making it look like this:

70/100

Add the numerators of 87 and 70 together.

Result should be 157

Plug it into the denominator looking like this:

157/100

Convert to mixed fraction:

1 57/100

The value of the expression given as \(4 \frac{5}{6} \div - 2\frac 17\) is \(-2\frac{23}{90}\)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.

Rewrite the above expression properly as follows:

Divide 4 5/6 ÷ -2 1/7

Using LaTeX, the above expression can be further represented as

\(4 \frac{5}{6} \div - 2\frac 17\)

Rewrite the above fractions and express it as improper fractions

\(\frac{29}6 \div -\frac{15}7\)

Rewrite the above fractions and express it as products

\(\frac{29}6 \times -\frac7{15}\)

Evaluate the product in the above expression

\(-\frac{203}{90}\)

Rewrite the above expression as a mixed fraction

\(-2\frac{23}{90}\)

Hence, the value of the expression given as \(4 \frac{5}{6} \div - 2\frac 17\) is \(-2\frac{23}{90}\)

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Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.