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2 years ago

Which shapes can the shaded area be divided into to find the area?

Mathematics

2 answers:

xxMikexx [17]2 years ago

5 0

Answer:

A rectangle and a triangle

Step-by-step explanation:

Greeley [361]2 years ago

3 0

The second to last option is correct because a rectangle can fit into a trapezoid

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The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the

stiv31 [10]

Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

$f'(t)=2000-12t^{2}$

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (t = 0) to 2000 (t = 10) as follows:

$\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000$

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

$=40000+16000\\=56000$

Thus, the worth of the company in 2000 is $56,000.

4 0

2 years ago

Solve for x. x2 + 8x + 15 = 0

likoan [24]

Answer: x=−3 or x=−5

Step-by-step explanation:

Step 1: Factor left side of equation.

(x+3)(x+5)=0

Step 2: Set factors equal to 0.

x+3=0 or x+5=0

x=−3 or x=−5

7 0

2 years ago

Write the fraction as a decimal 1/2

torisob [31]

1.2 is it as a decimal or 0.5

7 0

2 years ago

Read 2 more answers

What’s the radical form of 2 1/2

Svetlanka [38]

Do you still need help?

7 0

2 years ago

What is the explicit formula for this sequence -7, -4, -1, 2, 5

Nataliya [291]

Answer:

$\large\boxed{a_n=3n-10}$

Step-by-step explanation:

It's an arithmetic sequence.

$-4-(-7)=-4+7=3\\-1-(-4)=-1+4=3\\2-(-1)=2+1=3\\5-2=3$

The difference is constant.

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

Substitute:

$a_1=-7,\ d=3$

$a_n=-7+(n-1)(3)$ use distributive property

$a_n=-7+3n-3\\\\a_n=3n+(-7-3)\\\\a_n=3n-10$

6 0

2 years ago