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Vilka [71]
2 years ago
15

Which number is the same distance away from -12 as 2?

Mathematics
1 answer:
Ray Of Light [21]2 years ago
4 0

Answer:

-26

Step-by-step explanation:

2 is 14 away from -12. The other number that is 14 away from -12 is -26.

-12 + x = 2

x  = 14

-12 - 14 = -26

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Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ
Grace [21]

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1

Therefore, by substitution, you can rewrite the identity as shown below:

1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta

Simpliying, you obtain:

\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta

The identity is verified.

6 0
3 years ago
Salma and coron broomall have reached an agreed upon price of $197,000. They plan to make a 30 percent down payment and finance
Sladkaya [172]

Answer:

1. The monthly payment is $689.5

2. The total amount to be paid is

$224,580.

Step-by-step explanation:

Salsa and Corn Broom all reached an agreement upon the price of $197,000.

- The plan on making a 30 percent down payment. This implies that the will pay 0.3 × $197,000 = $59,100

This leaves them with

$197,000 - $59,100

= $137,900 to pay.

The plan on financing this remaining amount at 6 percent for 20 years.

This means they will pay

0.06 × $137,900 = $8,274 for 20 years. This translates to the payment of $8,274 × 20 = $165,480 across the 20 years.

1. The monthly payment is the yearly payment divided by 12.

Which is $8,274 ÷ 12 = $689.5

2. The total amount to be paid is

$165,480 + $59,100

= $224,580.

6 0
3 years ago
The length of a rectangle is 3 times the width. The perimeter is 96m. What is the length
Jlenok [28]

Answer:

Length =3×12 =36 m.

8 0
3 years ago
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Oksanka [162]

\frac{7}{8}  \times  \frac{10}{3}  \times  \frac{5}{14}
\frac{7}{8} (\frac{10}{3})(\frac{5}{14})
\frac{35}{12} ( \frac{5}{14}) =  \frac{25}{24}
ANSWER
\frac{25}{24}

3 0
3 years ago
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Stells [14]
A because x next to ten represents the amount of dogs that she walked
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