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Olegator [25]
3 years ago
6

Exit

Mathematics
1 answer:
krok68 [10]3 years ago
8 0
B because you have to add 30 to 60
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Parallel, perpendicular or neither
sergejj [24]

Answer:

Step-by-step explanation:

x=3 and x=-4 are parallel, vertical lines

:::::

x-y = 3, slope = 1

2x-2y = 10, slope = 1

Parallel lines

3 0
3 years ago
Based on Pythagorean identities, which equation is true? A. Sin^2 theta -1= cos^2 theta B. Sec^2 theta-tan^2 theta= -1 C. -cos^2
Arturiano [62]

Answer:

D

Step-by-step explanation:

our basic Pythagorean identity is cos²(x) + sin²(x) = 1

we can derive the 2 other using the listed above.

1. (cos²(x) + sin²(x))/cos²(x) = 1/cos²(x)

1 + tan²(x) = sec²(x)

2.(cos²(x) + sin²(x))/sin²(x) = 1/sin²(x)

cot²(x) + 1 = csc²(x)

A. sin^2 theta -1= cos^2 theta

this is false

cos²(x) + sin²(x) = 1

isolating cos²(x)

cos²(x) = 1-sin²(x), not equal to sin²(x)-1

B. Sec^2 theta-tan^2 theta= -1

1 + tan²(x) = sec²(x)

sec²(x)-tan(x) = 1, not -1

false

C. -cos^2 theta-1= sin^2

cos²(x) + sin²(x) = 1

sin²(x) = 1-cos²(x), our 1 is positive not negative, so false

D. Cot^2 theta - csc^2 theta=-1

cot²(x) + 1 = csc²(x)

isolating 1

1 = csc²(x) - cot²(x)

multiplying both sides by -1

-1 = cot²(x) - csc²(x)

TRUE

3 0
3 years ago
Cam's tent (shown below) is a triangular prism. Find the surface area, including the floor, of his tent.
SVEN [57.7K]

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

   S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle = \frac{1}{2} × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base = \frac{1}{2} × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Learn more:

You can learn more about surface area of a solid in brainly.com/question/12613605

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is t
klemol [59]

Answer:

The conclusion about p using an absolute value inequality is  

   0.325  <  p <  0.375

Step-by-step explanation:

From the question we are told that

   The  sample proportion is  \r p =  0.35

    The  margin of error is  E =  0.025

The confidence interval is mathematically represented as

           \r p  -E  <  p <  \r p +E

=>        0.35 - 0.025 <  p <  0.35 + 0.025

=>      0.325  <  p <  0.375

7 0
3 years ago
What is the answer to the problem
denpristay [2]

Answer:

Option 2

Step-by-step explanation:

(12) - 2 = 10

(11) - 2 = 9

0 x 4 = 0

1 x 4 = 4

8 0
3 years ago
Read 2 more answers
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