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Ksenya-84 [330]
3 years ago
12

Kyle has a aquarium in the shape of a rectangular prism.The aquarium is 24 inches long and 10 inches wide. The volume of the aqu

arium is 2,880 cubic inches. How high is the aquarium?
Mathematics
2 answers:
monitta3 years ago
8 0
The aquarium is 12 inches high. The formula for finding the volume of a rectangular prism is width x height x length. So I multiplied 24 by 10 and came up with 240. Next, I divide the volume 2,880 by 240 and came up with the answer 12. Lastly, I check my answer to ensure that it is right. 24 x 10 x 12 x 2,880. 
jasenka [17]3 years ago
4 0
To calculate to volume of a rectangular prism you use the formula l × w × h = V

l, w, and h are the sides, and V is the volume

So... 24 × 10 × h = 2,880

h = 2,880 / 240

h = 12


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Find the ages of the people and tree
Harlamova29_29 [7]

Answer:

1. Callum = 2; Eilidh = 17; Caitlin's =22.

2. Ewan = 44; tree = 308.

Explanation:

Q1. Callum, Eilidh, and Caitlin

Let x = Callum's age

     y = Eilidh's age

     z = Caitlin's age

We have three conditions.

(1)  x = y - 5

(2) z = y + 15

(3) x + y + z = 31

Step 1. Eliminate one of the variables in two of the equations

Subtract (1) from (2):                      z - x = 20

Rearrange:                 (4)             -x + z = 20

Solve (2) for y:           (5)                     y = z - 15

Substitute into (3):         x +  z - 15  + z = 31

                                 (6) x + 2z             = 46

Step 2. Set up two new equations in two variables

(5)                          -x +   z = 20

(6)                           x + 2z = 46

Add (5) and (6):           3z = 66

Divide each side by 2: z = 22

Step 3. Substitute z into (5)

-x + 22 = 20

 x          = 2

Step 4. Substitute x into (1)

                                    2 = y - 5

Add 5 to each side     y = 7

Callum's age is 2; Eilidh's age is 7; Caitlin's age is 22.

Q2. Ewan and the tree

Let x = Ewan's age

      y = tree's age

We have two conditions.

                                     (1)          y = 7x

                                     (2)   x + y = 352

Rearrange (1)                (3) -7x + y =     0

                                     (2)    x + y = 352

Subtract (3) from (2)          8x       = 352

Divide each side by 8         x       =    44

Substitute y into (1)                    y = 7 × 44

                                                  y =   308

Ewan's age is 44; the tree's age is 308.

5 0
3 years ago
Giving brainliest !! *easy*
Dmitriy789 [7]

Answer:

  1. r
  2. 2r
  3. \pi \: r
  4. m
5 0
2 years ago
How do I get the answer to this​
horsena [70]
You should divide or simplify the problem.
6 0
3 years ago
ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m
Pavel [41]

Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

The horizontal distance of the float plane from Ahmed, x = 470 m

Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}

Therefore

tan(\theta) = \dfrac{y}{x}

Where;

θ = The angle of elevation of the plane measured from Ahmed

y = The leg of the right triangle opposite the reference angle

x = The leg  of the right adjacent to reference angle

Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

8 0
3 years ago
I’m confused on this one
Elina [12.6K]
The question is asking for the sector arc length WZ,which can be find through the sector formula:
2\pi \: r \times  \frac{angle}{ {360}^{o} }
Since both cz and wz are the radius, they have the same length
cz=wz=5 in.

In this case,
2丌(5)× 122°/360°
=10丌×61/180
=61/36 ×丌
≈5.32in.

Thus 5.32in. is the answer.

Hope it helps!
8 0
3 years ago
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