Find the volume of the triangular prism? (PLEASE HELP ILL MARK BRAINLIEST)

The difference between the fraction of the budget for maintenance this year and last year is  5/24.

The first step is to determine the fraction of the budget used for maintenance last year.

Fraction of the budget used for maintenance = 1 - (1/3 + 1/3 + 1/4)

1 - 11/12 = 1/12

The second  is to determine the fraction of the budget used for maintenance this year.

Fraction of the budget used for maintenance = 1 - (1/8 + 1/3 + 1/4)

1 - 17/24  = 7/24

The difference =  7/24 - 1/12

= 5/24

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Answer:

To figure out the change, we subtract the original temperature by the following after temperature.

18°F - original

-9°F - subsequent time after original

So we set up the equation;

18°F - (-9°F)

(Two negatives combine to form a positive)

18°F + 9°F

= 27°F was the change in temperature.

The change in temperature from 2:00 PM to 10:00 PM is -27° F.

Temperature is a physical quantity that measures the coldness or hotness of an object in reference to some standard value.

Change in temperature can be defined by the difference of the final temperature with that of the initial temperature.

Temperature is usually measured in degree Celsius or degree Fahreheit.

Temperature at 2:00 PM = 18° F

Temperature at 10:00 PM = -9° F

Change in temperature = Final temperature - Initial temperature

                                       =  -9° F - 18° F

                                       = -27° F

Hence, the change in temperature can be calculated as -27° F.

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Answer:

[tex]30x^{4}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you would multiply 4x12 l

next you will get 36l

Finally you would divide it by some # to get your answer .

Answer:

$503.70

Step-by-step explanation:

$28.75 × .6 = $17.25

$17.25 × 40 = $690

$690 × .27 = $186.30

$690 - $186.30 = $503.70

Answer:

y=4x+2

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 2, and a slope of 4

We want to write the equation of that line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.

First, substitute 2 as the y intercept (b)

y=mx+2

Now substitute 4 as the slope (m)

y=4x+2

We have found the equation of the line.

Hope this helps!

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The area of the scale drawing given the scale of the square is 64cm^2.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Dimensions of the scale drawing =  original dimensions / scale of the drawing

16 cm / 2 = 8cm

Area = 8 x 8 = 64cm^2

A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.

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.

Answer:

(a) BC = 91 cm

(b) ∠C = 33.4° (nearest tenth)

(c) AD = 79.5 cm (nearest tenth)

Step-by-step explanation:

(a) Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

⇒ 60² + BC² = 109²

⇒ 3600 + BC² = 11881

⇒ BC² = 11881 - 3600

⇒ BC² = 8281

⇒ BC = √(8281)

⇒ BC = 91 cm

(b) Sine rule to find an angle:

   [tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Given:

[tex]\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}[/tex]

[tex]\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}[/tex]

[tex]\implies \sin C=\dfrac{60}{109}[/tex]

[tex]\implies C=33.39848847...\textdegree[/tex]

[tex]\implies C=33.4\textdegree \ \sf(nearest \ tenth)[/tex]

(c) Sine rule to find a side length:

   [tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Sum of interior angles of a triangle = 180°

Given:

[tex]\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}[/tex]

[tex]\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}[/tex]

[tex]\implies AD=79.5007796...[/tex]

[tex]\implies AD=79.5 \ \sf cm \ (nearest \ tenth)[/tex]

Answer:

Step-by-step explanation:

A. x + 5=12

7x = 21

B. b - 2/3 = 5/6

1/5m = 20

C. 45 = 3(x + 1)

D. 22.5 = 1.5x

E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.

Answer:

B

Step-by-step explanation:

A) (3+5+7+8+12)/5 = 35/5 = 7 => Incorrect

B) (2+3+6+13+16)/5 = 40/5 = 8 => Correct

C) (2+4+8+11+20)/5 = 45/5 = 9 => Incorrect

Hey there!

Your area of a trapezoid

a = a + b / 2(h)

area = base + base / 2(height)

YOUR EQUATION:

area = 9 + 3 / 2(11)

area = 12/2(11)

area = 6(11)

area = 66

Thus, your answer is probably: 66

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

It's 77, the absolute value bars will just make the number positive

Step-by-step explanation:

Answer:

Box 1. 2x

Box 2. -13 (1/3) or (-40/3)

Box 3. 2x

Box 4. (2/3)x

Box 5. 3

Box 6. 3

Box 7. -20

Box order left to right.

Step-by-step explanation:

(5/3)x + (1/3)x = 13 (1/3) + (8/3)x

add numberator ( top number ); keep the denominator the same ( bottom number )

Line 1. (6/3)x or 2x = 13 (1/3) + (8/3)

------------------------------------------

Line 2. -13 (1/3) = (8/3)x - 2x

-------------------------------------------

Ex. 3 × (-13) = 39 - 1 = (-40/3)

--------------------------------------------

Line 3. (-40/3) = (2/3)x

---------------------------------------------

Line 4. (3) (-40/3) = (2/3)x (3)

----------------------------------------------

               -40 = 2x

               ÷2     ÷2

Line 5.    -20 = x

-------------------------------------------------

Sorry if this is a little confusing. I hope this helped!

Step-by-step explanation:

2

-13/1/3 ; 2

2/3

3 ; 3

-40

hope it help

Answer:

  (x, y) = (-3, 0) and (3, 0)

Step-by-step explanation:

The x-intercepts of any relation are the points where the graph crosses the x-axis. The y-coordinate there is always 0.

This graph crosses the x-axis at x = ±3. The x-inercepts are ...

  (x, y) = (-3, 0) and (3, 0)

Sabrina, to find which fits, plug them in. Since 20% is closer to 15% than 30%, we know that more 15% is used than 30%.

3(.15) + 2(.3) = 5(.2)

.45 + .6 = 1

Nope

(10/3)(.15) + (5/3)(.3) = 5(.2)

.5 + .5 = 1

Answer:

Angle B=40 degrees

Angle C= 90 degrees

Angle E=50 degrees

Please Mark Brainliest

these answer- I am sure they ar correct

Answer:

20.5 degrees

Step-by-step explanation:

So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.

So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.

Now that center line is the diameter, which means it is 180 degrees

So you can find the angle of line OA and OB:

180 - 41 = 139

Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.

This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:

180-139 = 41

And then divide by two to find the remaining two angles:

41/2 = 20.5

and that is x :)

Answer:

If you don't understand handwriting

then comment ok

Answer:

Step-by-step explanation:

Answer:

904.78 cubic inches

Step-by-step explanation:

Since a beach ball is a sphere, use the formula for volume, V = 4/3 * pi * r^3 to find the volume of the beach ball, using 6 for radius since diameter is two times the radius and the diameter is 12 inches. 4/3 * pi * 6^3 = 904.78, so that many cubic inches of air would be needed to inflate the beach ball.

Hopefully this helps- let me know if you have any questions!

Answer:

4 years

Explanation:

[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]

[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]

[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]

[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]

[tex]\hookrightarrow \sf t = 4[/tex]

Answer:

The time will be 4 years .

Step-by-step explanation:

Given :

Simple Interest = $600

Principle = $5,000

Rate = 3%

Time = ?

Formula for Simple Interest = P×R×T / 100

=> 5,000 × 3 × T / 100 = 600

=> T = 60,000 / 5,000×3

=> T = 60,000/15000

=> T = 4 years

Answer:

0.0006087 (4 sf)

Step-by-step explanation:

Binomial distribution:  X ~ B(n, p)

where n is the number of trials and p is the probability of success

Let the random variable X be the number of people with brown eyes

n = 14

p = 40% = 0.4

Therefore,  X ~ B(14, 0.4)

P(X ≥ 12) = 1 - P(X ≤ 11)

              = 1 - 0.9993913226...

              = 0.000608677...

Answer:

Daria's boss expression

Step-by-step explanation:

Her boss expression because it's asking about the hours worked per four week month. Daria's expression represents the 9 hours she works per week for the 4 weeks in the month.

Her boss expression represents the total number of hours she works altogether in all the four weeks in the month.

Answer:

89

Step-by-step explanation:

df fd