what is the volume of the prism 8 1/2 m 7 m 4 m

Answer:

90 degrees.

Step-by-step explanation:

They right ray point is on the 90 degree number and left ray is on zero so we find the difference.

90-0=90

so it measures 90 degrees.

Answer:

<ba=180 <bc=90

Step-by-step explanation:

Answer:

8) 22

9) cos 33°

10) 55

Step-by-step explanation:

[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]

I hope that is useful for you :)

Answer:

1/4

Step-by-step explanation:

Favorable Outcomes/ All Possible Outcomes= 2/8

2/8= 1/4

The answer is 1/4.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Answer:

x=-1/7

Step-by-step explanation:

Combine like terms

7x=−1

Then you divide both sides by 7 and then you get x=-1/7 (fraction)

Hope it helps :)

Answer:

1.) 2.5cm

2.) 1 3/4

3.) 1.6

4.) 4/5

5.) 18.84

Step-by-step explanation:

So the radius is half of the diameter, so the first one would be:

5 ÷ 2 = 2.5

We do the same thing for the next one:

3 1/2 ÷ 2 = 1 3/4

Now we have to go backwards because we have the radius and we're trying to find the diameter:

0.8 x 2 = 1.6

And the next one:

3/5 x 2 = 4/5

Now to find the circumference, we multiply the diameter by pi (3.14)

6 x 3.14 = 18.84

let me know if any of these are wrong

hope this helps:)

Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

40 / 40 - 34/40  = 6 /40

To transform to the simplest form. divide both the numerator and the denominator by 2

3/20

Answer:

Hello.

The answer to this question is  

− √ 2 − √ 3 /2

And in Decimal Form: − 0.25881904

Step-by-step explanation:

Give brainliest :)

Answer:

Step-by-step explanation:

 it's 125 for the radius and also 125-62 = 63

so 125+63 = 188

188 * 62 = X^2

11656 = X^2

107.96 = x

108.0  = x  ( to the nearest tenth )

The perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

Diameter = 250

To obtain the perpendicular distance, x :

We use the relation : x × x = Length to either side of mound :

Mathematically ;

x × x = 62 ft × (250 - 62)

x² = 62 × 188

x² = 11656 ft²

Take the square root of both sides ;

x = √11656

x = 107.9629 ft

Hence, the perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

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Answer:

Blue

Step-by-step explanation:

Answer:

multiply 6 on both sides

Step-by-step explanation:

you multiply 6 on both sides to get x by its self so your answer in total would be 21

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

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Answer: 53 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.

Given:

The graph of a trend line.

To find:

The equation of the trend line is slope intercept form.

Solution:

From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).

Slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{50-25}{5-0}[/tex]

[tex]m=\dfrac{25}{5}[/tex]

[tex]m=5[/tex]

The line passes through the point (0,25). So, the y-intercept of the line is 25.

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

The slope intercept from of the line is:

[tex]y=(5)x+(25)[/tex]

[tex]y=5x+25[/tex]

Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].

Answer:

3.11 liters

Step-by-step explanation:

converting mL to L requires dividing by 1000, or moving the decimal point 3 places to the left

Answer:

If two angles in standard position have the same terminal side, they are called coterminal angles.

The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.

Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation

If two angles in standard position have the same terminal side, they are called coterminal angles.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.

Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.

Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.

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Answer: 4 + 2w

Step-by-step explanation:

The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:

h = 4 + 2(w)

h = 4 + 2w

For example, the height of the tomato plant in inches after 5 weeks will be:

h = 4 + 2w

h = 4 + 2(5)

h = 4 + 10

h = 14 inches

Answer:

Lower and upper quartiles(B)

Step-by-step explanation:

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

Answer: -0.75

1/8 - 1(7)/8 = -3/4= -0.75

Answer:

[tex]\frac{1}{8} -1\frac{7}{8}[/tex]

[tex]\frac{1}{8} -\frac{15}{8}[/tex]

[tex]\frac{1-15}{8}[/tex]

[tex]-\frac{14}{8}[/tex]

[tex]-\frac{7}{4}[/tex]

[tex]-1\frac{3}{4}[/tex]

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

1 × 10⁻⁵

Step-by-step explanation:

Answer:

a = 35

Step-by-step explanation:

5/7a = 25

multiply both sides by 7:

5a = 175

divide by 5:

a = 35

Hope this helps !!!

Answer:

$4.16

Step-by-step explanation:

8% of $52 is 4.16.

In total the item would cost $56.16.

All you do is 52 x .08 = 4.16

Make sure to divide the percentage (8/100=.08) before multiplying.

Answer:

A. Y ≤ 4.

Step-by-step explanation:

This  opens downwards and has a maximum  at f(x) = 4.

Answer:

1) D. 343.17

2) C but not sure

Step-by-step explanation:

1) area of triangle is 1/2* base* height= 1/2*18*24 = 216ft²

area of circle is πr²

area of semicircle is πr²/2

diameter=18

radius= 18/2=9

πr²/2 = (22/7* 9*9) / 2

=127.2 (approx)

total area = 127.2+ 216= 343.2

2) I dont know...I think C

Answer:

37.69cm i might be wrong, u gonna have to check

Step-by-step explanation: