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3 years ago

A tree has circumference of 98 inches. Find the area of a circle with that circumference.

Mathematics

1 answer:

dsp733 years ago

8 0

Answer:

7542.96

Step-by-step explanation:

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Solve for x −9x+5≤17 OR 13x+25≤−1

arsen [322]

Answer:

(-∞ 2] ∪ [-4/3 ∞ )

Step-by-step explanation:

Given compound inequality,

$-9x+5\leq 17\text{ or }13x+25\leq -1$

$-9x\leq 12\text{ or }13x\leq -26$ ( Subtraction property of inequality )

$-x\leq \frac{12}{9}\text{ or }x\leq -\frac{26}{13}$ ( Division property of inequality )

$-x\leq \frac{4}{3}\text{ or }x\leq -2$

$x\geq -\frac{4}{3}\text{ or }x\leq -2$ ( a < b ⇒ - a > - b )

Hence, the solution of the given inequality is,

(-∞ -2] ∪ [-4/3 ∞ )

3 0

3 years ago

Read 2 more answers

A lottery ticket has a grand prize of $31 million. The probability of winning the grand prize is .000000018. Determine the expec

vlabodo [156]

Answer:

$0.558

Step-by-step explanation:

The expected value is the sum of the value of each outcome times the chance that it happens. In this case, there are two outcomes:

Win $31 million
Win $0

Then our expected value can be calculated as:

$EV=(31,000,000)(0.000000018)+(0)(1-0.000000018)=0.558$

5 0

3 years ago

What is the answer to 90 is 45% of what?

ANTONII [103]

..... 40.5 ...............

7 0

3 years ago

Read 2 more answers

One leg of a right triangle is 7 inches longer than the smaller leg and the hypotenuse is 8 inches longer than the smaller leg.

Makovka662 [10]

Smaller leg = x
longer leg = y
hypotenuse = z

y=x+7
z=x+8

due to
${z}^{2} = {x}^{2} + {y}^{2} \\ (x + 8) ^{2} = {x}^{2} + (x + 7) ^{2} \\ {x}^{2} + 16x + 64 = {x}^{2} + {x}^{2} + 14x + 49 \\ {x}^{2} + 16x + 64 = 2 {x}^{2} + 14x + 49 \\ {x}^{2} - 2 {x}^{2} + 16x - 14x + 64 - 49 = 0 \\ - {x}^{2} + 2x + 15 = 0 \\ {x}^{2} - 2x - 15 = 0 \: \: (multiplied \: by \: - 1) \\ (x - 5)(x + 3) = 0 \\ then \: \: x = 5 \: \: or \: \: x = - 3$
but x cannot be -3
so smaller leg is 5 inches

then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches

3 0

3 years ago

Ashley has 4 pairs of low-top sneakers, 7 pairs of high-top sneakers, 3 pairs of sandals, and 1 pair of boots. What is the ratio

Citrus2011 [14]

The ratio of low-top to the total number of shoes is 4:15

6 0

3 years ago