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3 years ago

What’s the hypotenuse?

Mathematics

1 answer:

Karolina [17]3 years ago

7 0

Answer:

c = 10 feet

Step-by-step explanation:

Use the Pythagorean theorem: a^2 + b^2 = c^2

Step 1: Plug in the information

(6)^2 + (8)^2 = c^2

36 + 64 = c^2

100 = c^2

sqrt(100) = sqrt(c^2)

10 = c

Answer: c = 10 feet

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Can someone show me how to factor this please?

Alex_Xolod [135]

Answer:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

Step-by-step explanation:

We want to solve the equation:

$2\sin ^2 \theta + 3\sin \theta + 1 = 0$

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

$\displaystyle 2u^2 + 3u + 1 = 0$

Factor:

$\displaystyle (2u+1)(u+1) = 0$

By the Zero Product Property:

$\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0$

Solve for each case:

$\displaystyle u = -\frac{1}{2} \text{ or } u = -1$

Back-substitute:

$\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1$

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

8 0

3 years ago

Solve for x (2x-8) (9x-10)

mars1129 [50]

Answer

x+3=17

Step-by-step explanation:

8 0

3 years ago

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Slope of line that passes through points (2,1) and (17,-17)

mojhsa [17]

Answer: y = -1,2x + 3.4

Step-by-step explanation:

y = ax + b

(2,1) => 1 = 2a + b (1)

(17,-17) => -17 =17a + b (2)

Using caculator Mode => 5 =>1

We get : a=- 1.2 , b = 3.4

=> y = -1.2x + 3.4

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2 years ago

Eli walked 12 feet down the hall of his house to get to the door. He continued in a straight line out of the door and across the

tekilochka [14]

Part A:

The drawing representing Eli's walking pattern is attached.

Part B:
The total distance worked by Eli is given by
12 + 32 + 14 = 58 feet.

Part C:
The distance of Eli from his house is given by
12 + 32 - 14 = 30 feet.

5 0

3 years ago

Solve 1235 divided 100

bagirrra123 [75]

1235 / 100

See 1235 as 1235.0, since we are dividing by 100, we have two zeros, so we move the decimal point in 1235.0 two places to the left.

12.35

8 0

3 years ago

Read 2 more answers