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7nadin3 [17]
4 years ago
13

When do you have a solution and when do you have a solution set

Mathematics
1 answer:
Leokris [45]4 years ago
7 0

Answer:

You have a solution set when there are multiple right answers.

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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
3 years ago
Read 2 more answers
A house worth $180,000 has a coinsurance clause of 75 percent. The owners insure the property for $101,250. They then have a los
Bess [88]

Answer:

$37,500

Step-by-step explanation:

We have been given that a house worth $180,000 has a coinsurance clause of 75 percent. The owners insure the property for $101,250. They then have a loss that results in a $50,000 claim.

We will use loss settlement formula to solve our given problem.

\text{Loss settlement}=\frac{\text{Loss}\times\text{Limit of insurance}}{\text{Actual cash value}\times \text{Coinsurance}\%}

Upon substituting our given values, we will get:

\text{Loss settlement}=\frac{\$50,000\times\$101,250}{\$180,000\times 75\%}

\text{Loss settlement}=\frac{\$50,000\times\$101,250}{\$180,000\times 0.75}

\text{Loss settlement}=\frac{\$5,062,500,000}{\$135,000}

\text{Loss settlement}=\$37,500

Therefore, they will receive $37,500 from insurance.

5 0
3 years ago
Slove this please <img src="https://tex.z-dn.net/?f=%5Csqrt%7B15n%5E2%7D%20%2A%5Csqrt%7B10n%5E3%7D" id="TexFormula1" title="\sqr
larisa [96]

Answer:

5n^2\sqrt{6n}

Start by breaking the radicand into assumed positive values.15n - 10n = 5n^3

3+2 = 6

Simplify.

5n^2\sqrt{6n}

4 0
2 years ago
HELP ME I WILL GIVE BRAINLIEST California has a population of approximately 4 × 10^7 people and South Dakota has a population of
GaryK [48]

Answer:

40000000 800000

Step-by-step explanation:

whats the question here?

4 0
3 years ago
Read 2 more answers
42. A cylinder has a base of 36 π in² and a volume of 432π in³. What is the surface area of the same cylinder? *
faust18 [17]

Answer:

216π in²

Step-by-step explanation:

Base area = π × r²

36 π = π × r²

r² = 36

r = 6

Volume = base area × height

432 π = 36 π × height

height = 12

Surface area:

2 × π × r × (r + h)

2π × 6 × (6 + 12)

216π

8 0
3 years ago
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