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s344n2d4d5 [400]

3 years ago

9

Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weigh

t.

1 answer:

skelet666 [1.2K]3 years ago

5 0

Answer:

3d-12=b

Step-by-step explanation:

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An office is 20 feet long, 15 feet wide, and 12 feet high. it costs about 9 cents per year to air condition one cubic foot of sp

pentagon [3]

27$ because you do 20*15*12 then 3600*0.09 and divide that answer by 12 which is 27

7 0

3 years ago

Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation

Vaselesa [24]

Answer:

$\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}$

Step-by-step explanation:

The circumference of a circle with radius $r$ is given by $C=2\pi r$ . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle $\theta^{\circ}$ is equal to $2\pi r\cdot \frac{\theta}{360}$ .

Formulas at a glance:

Circumference of a circle with radius $r$ : $C=2\pi r$
Length of an arc with central angle $\theta^{\circ}$ : $\ell_{arc}=2\pi r\cdot \frac{\theta}{360}$

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

$C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}$

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

$\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}$

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting $r=2$ into our circumference formula, we get:

$C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}$

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

$\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}$

8 0

3 years ago

What is the missing angle

OLga [1]

The original angle id 90 degrees so subtract the 45 degrees.
Answer: 45 degrees

7 0

4 years ago

A hot air balloon holds 4,328 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilogr

Oksi-84 [34.3K]

Answer: 3) 772.5 kg

Step-by-step explanation: That's what I got and I'm 100% sure that's the answer

7 0

3 years ago

Tritium is a radioactive isotope of hydrogen that decays by about 5% per year. A large bottle of water that contained 450,000 tr

Basile [38]

Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem:

The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.

The amount decays by about 5% per year, hence r = 0.05.

Thus, the equation is given by:

$A(t) = A(0)(1 - r)^t$

$A(t) = 450000(1 - 0.05)^t$

$A(t) = 450000(0.95)^t$

After 11 years, the amount is given by:

$A(11) = 450000(0.95)^{11} = 255960$

The bottle contains 255,960 atoms of tritium after 11 years.

More can be learned about exponential functions at brainly.com/question/25537936

8 0

2 years ago