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3 years ago

Find the length of an arc of a 8inch radius circle if the arc measures 45 degrees

1 answer:

4 0

45° is exactly 1/8 of a full circle (45/360 = 1/8) <span>
So the length of the arc would be 1/8 of a full circumference:
C = 2π r
C = 2π(8)
C = 16π

Take 1/8 of this:
1/8C = (1/8)16π = 2π

Answer:
Exact answer --> 2π inches
(Approx. answer --> 6.28 inches)</span>

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A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 1

Jet001 [13]

Answer:

The answer is "$238".

Step-by-step explanation:

Current worth $= \$ 17,000$

depreciates by $\frac{1}{2}$ in 3 years.

time= 19 years

depreciates rate=?

Using formula:

$\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}$

$\to A_t=A_0(1-\frac{r}{100})^t$

calculates depreciate value in 3 year $= \frac{1}{2} \times 17,000$

$= 8,500$

so,

$A_t=8,500\\\\A_0=17,000\\\\t=3\ years$

$\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%$

depreciates rate= 20%

$\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}$

$= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238$

4 0

3 years ago

Read 2 more answers

Jerry has a miniature model of a boat. He knows that the model is 3 3/4 inches wide and 5 1/2 inches long. What is the actual le

mylen [45]

Answer:

22 feet

Step-by-step explanation:

Change 15 feet into inches using the conversion

1 foot = 12 inches, thus

15 ft = 15 × 12 = 180 inches

scale factor = 180 ÷ 3.75 = 48

Thus the actual dimensions of the boat are 48 times the model.

actual length = 48 × 5.5 = 264 inches = 264 ÷ 12 = 22 feet

6 0

4 years ago

A six sided die is rolled. Find the probability of rolling a number less than 4

Tomtit [17]

Answer:

1/2 (1 half)

Step-by-step explanation:

any number less than 4 is "1,2, and 3" and a standard die has 6 numbers. so if you have 3 out of 6 is equivalent to 1/2

3 0

3 years ago

A pet store has 10 puppies, including 3 poodles, 4 terriers, and 3 retrievers. if rebecka and aaron, in that order, each se

olganol [36]

P(both poodle) = (3/10)(3/10) = 9/100

Answer: The probability of choosing the same puppy is 9/100

6 0

3 years ago

I need HELP solving this equation..................show work will mark brainliest!! ;[

stepladder [879]

To solve you can separate the power and make it simpler:

${3}^{2} \times {3}^{2} \times 3 - 4 + 8$
${3}^{2} = 9$
$9 \times 9 \times 3 = 243$
$243 - 4 = 239$
$239 + 8 = 247$
So your answer should be 247

4 0

4 years ago

Read 2 more answers