What is 10-2(x-y)=3x-1 in standard form?

Find the volume of the composite solid.

luda_lava [24]

Answer:

768 m^2

Step-by-step explanation:

<u>Separate the shapes</u>

We can first separate the triangular pyramid from the rectangular prism.

We can calculate them separately.

<u>Calculate</u>

The volume of the triangular pyramid is the base multiplied by the height divided by 3. The base of the pyramid has the same base as the prism so:

8 * 8 = 64

Then we need the height which is 6 so:

64 * 6/3 = 64 * 2 = 128 m^2

Then we calculate the volum of the prism; the formula for that side times side time side:

8 * 8 * 10 = 640 m^2

The total volume is them added up:

128 + 640 = 768 m^2

7 0

3 years ago

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?

Sophie [7]

Hi there! The answer is B.

$5r \leqslant 6r - 8$
Subtract 6r from both sides.

$- r \leqslant - 8$
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.

$r \geqslant 8$
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}

~ Hope this helps you!

3 0

3 years ago

The number N = 100+100^2+100^3 + ... +100^n . Find the least possible value of n such that the number N is divisible by 11.

soldier1979 [14.2K]

It's a big alphabet, why confuse us with N and n?

Anyway, this one is a bit easier than it looks. We're going to look at it mod 11, meaning we're only interested in the remainders when we divide by 11. The nice thing about multiplication and addition is if we're going to take the remainder at the end, we can also take the remainders at the beginning and along the way and get the same answer, with smaller numbers.

That all sounds very complicated. It's easier explained.

100 =9*11 +1 so has remainder 1 when divided by 11. So if we multiply by 100 that's not going to change the remainder when we divided by 11; it's like multiplying by 1.

So 100, 100^2, 100^3, etc all have remainder 1 when divided by 11. So we need to add up 11 of them to get a number that's divisible by 11.

Answer: 11

4 0

4 years ago

The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all p

jeka57 [31]

Answer:

K = -1 or -2

Step-by-step explanation:

Given the equation of parabola is, y = 0.5(x-3)(x+k).

Finding y-intercept, put x=0 and solve for y :-

y = 0.5(0-3)(0+k)

y = 0.5(-3)(k)

y = -1.5k

Finding x-intercepts, put y=0 and solve for x :-

0 = 0.5(x-3)(x+k)

(x-3)(x+k) = 0

x = 3 OR x = -k

So, the coordinates of triangle ABC are:-

A(0, -1.5k), B(3, 0), and C(-k, 0)

Assuming origin O(0,0), find the area of triangle ABC:-

Area = (1/2) * BC * OA

Area = (1/2) * (k+3) * (1.5k)

But given the area is 1.5 square units.

So, (1/2) * (-k-3) * (1.5k) = 1.5

(1/2) * (-k-3) * (k) = 1

k(-k-3) = 2

-k² -3k -2 = 0

k² +3k +2 = 0

k² +2k +k +2 = 0

(k+2)(k+1) = 0

So, k = -1 or k = -2

7 0

3 years ago

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Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Keith_Richards [23]

They used more cleaner in 2012 because the green line is higher in the year 2012 than it is in 2015.

6 0

4 years ago

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