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3 years ago

Find the volume for the image

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

$\frac{2}{5} = \frac{30}{x} \\ 2x = 30 \times 5 \\ \frac{2x}{2} = \frac{150}{2} \\ x = 75 {m}^{2}$

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Pilar says that two linear systems below have the same solution. (see picture) Is she correct? Explain.

wariber [46]

The first set:

3x + 2y = 2 ---1)
5x + 4y = 6 ---2)

From 1), multiply all by 2, 6x + 4y = 4 ---3)

3) - 2),

6x + 4y - (5x + 4y) = 6 - 4
6x + 4y - 5x - 4y = 2
x = 2

Sub in x = 2 into 1),

3(2) + 2y = 2
2y = -4
y = -2

(2 , -2)

The second set:

3x + 2y = 2 ---1)
11x + 8y = 10 ---2)

From 1), multiply all by 4, 12x + 8y = 8 ---3)

3) - 2),

12x + 8y - (11x + 8y) = 8 - 10
12x + 8y - 11x - 8y = -2
x = -2

From this x value alone, we can tell that these two linear systems do NOT have the same solution as they meet at different coordinates.

Hope this helped! Ask me if there's any working from here that you don't understand! :)

5 0

3 years ago

Read 2 more answers

What is the axis of symmetry of a parabola if its x-intercepts are -3 and 5?

ollegr [7]

Answer:

The axis of symmetry will be at 1

Step-by-step explanation:

The middle of -3 and 5 will be the axis :)

-3, -2, -1, 0, 1, 2, 3, 4, 5

-2, -1, 0, 1, 2, 3, 4

-1, 0, 1, 2, 3

0, 1, 2

3 0

4 years ago

The food bill came to 22$. If you wanted to leave a 20% tip, how much money would you leave for the tip? (Very urgent!)

Sergio [31]

Answer:

it would come out to $4.40

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3 years ago

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Gloria purchased a hot chocolate with extra marshmallows for $4.59 before tax. She lives in Iceland where the sales tax rate is

dsp73

About ten cents. $4.68 total

8 0

3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

3 years ago

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