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3 years ago

Type the correct answer in each box.

Mathematics

1 answer:

lana [24]3 years ago

6 0

Answer:

Step-by-step explanation:

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The population of Virginia is 30% less than the population of Georgia. If

Advocard [28]

7,150,000

The population of Georgia is 10,500,000.

The population of Virginia is 30% less than that.

So the population of Virginia is 10,500,000 - 30% which equals 7,150,000

3 0

2 years ago

The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr

GarryVolchara [31]

Answer:

$\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height$

Given:

area = 18 cm²
base = 6 cm
height = (h + 1) cm

Substitute the given values into the equation and solve for h:

$\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)$

$\sf \implies 18 = \sf \dfrac62 (h+1)$

$\sf \implies 18 =3(h+1)$

expand using distributive property of addition $a(b+c)=ab+ac$ :

$\sf \implies 18=3h+3$

subtract 3 from both sides:

$\sf \implies 3h=15$

divide both sides by 3:

$\sf \implies h=5$

<u>To verify</u>:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

3 0

2 years ago

Read 2 more answers

Select the correct answer.

Tpy6a [65]

Answer:

your answer is D.

Step-by-step explanation:

Using sine will give you 3*square root of 3

3 0

2 years ago

Read 2 more answers

Square 20cmx20xm

Oxana [17]

Answer:

8,000

Step-by-step explanation:

3 0

3 years ago

write and solve the differential equation that models the following statment. "the rate if change of W with respect to x is prop

Vaselesa [24]

Answer:

$\int k(x + 18)dx = \int kx + 18k dx$ = $k\frac{x^{2} }{2}$ + $18kx$ + C where C is the constant of integration.

Step-by-step explanation:

i)it is given that the rate of change of W with respect to x is proportional to

x + 18. Therefore $\frac{dW}{dx}$ = k(x + 18) where k is a constant.

ii) Therefore $\int k(x + 18)dx = \int kx + 18k dx$ = $k\frac{x^{2} }{2}$ + $18kx$ + C where C is the constant of integration.

iii) the complete solution can only be found if we know the constant of proportion and also the constant of integration.

4 0

3 years ago