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ad-work [718]
3 years ago
5

Prove that Sin2(90-theta)(1+cot2(90-theta))=1

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Step-by-step explanation:

The Answer is in the photo

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△PQR is similar to △STU . In addition, m∠U=96° and m∠T=6(m∠P) . What is m∠P ? Enter your answer in the box. °
kenny6666 [7]
<span>△PQR is similar to △STU

</span>m∠R = m∠U = 96°

m∠Q = m∠T = 6

m∠P = 180 - ( 96 + 6)

m∠P = 180 - 102

m∠P = 78
 
answer 

m∠P = 78
7 0
3 years ago
Read 2 more answers
Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,
alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

a = \frac{25*sin(43)}{sin(53)}

a = 20 (approximated)

8 0
3 years ago
The width of a square tablecloth is 8 feet. What is the area of the tablecloth?
sergij07 [2.7K]

Answer:

The answer is 64

Step-by-step explanation:

Since a square's sides are equal that means the dimensions are equal as well

8 x 8 = 64

5 0
2 years ago
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If you want Brainliest! You gotta earn it by obviously helping! I need help ASAP, please!
masha68 [24]

Answer:

\theta=1.72  radians

Step-by-step explanation:

Arc length and radius is given. So, we need to know the arc length formula for a circle.

That is:

s=r\theta

Where s is the arc length

r is the radius

\theta  is the angle (IN RADIANS)

We have:

s = 15.5

r = 9

Now, we substitute and find the angle:

s=r\theta\\15.5=9\theta\\\theta=\frac{15.5}{9}\\\theta=1.72

The angle, in radians, in 1.72

5 0
3 years ago
Which statement is best represented by the inequality d&gt;11?
ankoles [38]

For this case we have the following inequality:d> 11

Assuming that "d" is the variable that represents the number of hours worked by Mo during this week, we have that the hours were greater than 11, according to the inequality sign.

So, the correct option is:

Mo worked more than 11 hours this week.

Answer:

Option A

5 0
3 years ago
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