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3 years ago

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Mathematics

1 answer:

vazorg [7]3 years ago

4 0

If you find the volume of each figure separately then add them together, then you'd get your answer.

The formula for volume is V=Base Area*Height, V=BH
So the volume of the smaller cube is 210.
This is because the base area is 15*14. Multiply this by the height, 16, then you get 210.

The volume of the second cube is 25,100. This is because 15+16 is 31. 31*27*30 is 25,100.

If you add both of these volumes together, you're final answer is 25,310 units cubed.

Hope this helped :)

You might be interested in

What is the sequence for g(1)=-29 g(n)=g(n-1)x(-4)

kupik [55]

Answer:

g(n) = -29×(-4)ⁿ⁻¹

Step-by-step explanation:

This the recursive formula of a sequence g :

g(1)=-29

g(n)=g(n-1)x(-4)

now ,we want to deduce the standard explicit formula of that sequence

It’s clear from the recursive formula (above) that :

_The common ratio = -4

_the first term = -29

Then

the standard explicit formula is : g(n) = -29×(-4)ⁿ⁻¹

8 0

3 years ago

Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5

lana [24]

To solve this we are going to use the simple interest formula: $A=P(a+rt)$
where
$A$ is the final amount.
$P$ is the initial investment.
$r$ is the interest rate in decimal form.
$t$ is the time in years.

Investment A. We know that the initial investment is $10,000, so $P=10000$ . We also know that the number of years is 5, so $t=5$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{3}{100} =0.03$
Lets replace those values in our formula to find $A$ :
$A=P(a+rt)$
$A=10000(1+0.03*5)$
$A=11500$

Investment B. $P=8000$ , $t=15$ , and $r= \frac{2.8}{100} =0.028$ .
$A=P(a+rt)$
$A=8000(1+0.028*15)$
$A=11360$

We can conclude that investment A will be worth than investment B at the end of the investment period.

3 0

3 years ago

Read 2 more answers

Identifying Equivalent Expressions

aivan3 [116]

Answer:

Option c, d and e are equivalent expressions to 7x-14

Step-by-step explanation:

Which expressions are equivalent to 7x - 14

Equivalent Expressions:

<em>The expressions that are the same, even if the expression looks different.</em>

<em>For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4</em>

Now, finding equivalent to expressions 7x - 14

Option a) 14 - 7x

Not equivalent to 7x-14

Option b) x-2

Not equivalent to 7x-14

Option c) -(14 – 7x)

Simplifying: -14+7x so, equivalent to 7x-14

Option d) (x - 2)

Simplifying: 7x-14 so, equivalent to 7x-14

Option e) - 14 + 4x

Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14

Option f) 2x - 10 + 5x + 4

Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14

So, Option c, d and e are equivalent expressions to 7x-14

3 0

3 years ago

19) You bought a laptop for $950. It depreciates (loses value) at a rate of 40% per year.

lions [1.4K]

You see 18 cause we said she said! hence she said he said.

7 0

2 years ago

The angle of depression of a boat from three quarters of a vertical pole is 35º. If the boat is 120 m from the foot of the pole,

Verdich [7]

Answer:

112 m

Step-by-step explanation:

The angle of depression from the pole position is the same as the angle of elevation from the boat position. So, the problem statement gives us an angle and horizontal and vertical legs of a right triangle. The relation between them is given by the tangent function.

Tan = Opposite/Adjacent

If we let (3/4h) represent the length of the side opposite the given angle, and 120 m the side adjacent, we have ...

tan(35°) = (3/4h)/(120 m)

Multiplying by the inverse of the coefficient of h, we get ...

h = (160 m)tan(35°) ≈ 112 m

The height of the pole is about 112 meters.

4 0

2 years ago