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2 years ago

a triangle has an area of 110 square inches and a base of 15 in. Which answer best pinpoint the height

Mathematics

1 answer:

dsp732 years ago

3 0

Answer:

14.67

Step-by-step explanation:

area = 1/2bh therefor plug in the numbers and you get the anwser.

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A man is planning to take his vacation in three weeks. He determines that there is a 15% chance of rain on any given day in that

mixas84 [53]

Answer: 15%

Explanation: if it has 15% chance of rain on any given day so that’s 15% chance on every day that week and I’d think about rescheduling that vacation for another week

4 0

3 years ago

WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"

Feliz [49]

Recall Euler's theorem: if $\gcd(a,n) = 1$ , then

$a^{\phi(n)} \equiv 1 \pmod n$

where $\phi$ is Euler's totient function.

We have $\gcd(9,32) = 1$ - in fact, $\gcd(9,32^k)=1$ for any $k\in\Bbb N$ since $9=3^2$ and $32=2^5$ share no common divisors - as well as $\phi(9) = 6$ .

Now,

$37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} = 32\cdot\left(32^{(\cdots)}\right)^6$

where the $c_i$ are positive integer coefficients from the binomial expansion. By Euler's theorem,

$\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9$

so that

$32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9$

7 0

2 years ago

In the year 2005, a total of 750 fish were introduced into a manmade lake. The fish population was expected to grow at a rate of

tangare [24]

The population of the fish is given by P(t) = 750(1 + 0.083)^t; where t is the number of years after 2005.
Here, t = 2050 - 2005 = 45

Population in 2050 = 750(1.083)^45 = 750(36.16) = 27,123

8 0

2 years ago

Read 2 more answers

Your car can drive 300 miles on a tank of 11 gallons. Your car gets

Maru [420]

Answer: 0.04

Step-by-step explanation:

11 gallons divided by 300 miles

11 /. 300 = 0.36666667

= 0.04

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3 years ago

If two figures are similar their angles are

NISA [10]

Answer:

i really dont know

Step-by-step explanation:

6 0

3 years ago

a triangle has an area of 110 square inches and a base of 15 in. Which answer best pinpoint the height​

a triangle has an area of 110 square inches and a base of 15 in. Which answer best pinpoint the height