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Olin [163]
3 years ago
11

Find the exact values of the remaining five trigonometric functions of theta

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Hypotenuse of the triangle containing < theta =  sqrt (60^2 + 11^2) = sqrt 3721 = 61
H = 61 , O = 60 and A = 11

sin theta = O/H = 60/61, cos theta = A/H = 11/61
csc theta = H/O = 61/60, sec theta = H?A = 61/11 and cot theta = 11/60

It's C
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The scale factor to dilate Triangle ABC to Triangle DEF is _.
zaharov [31]
1/2

If ABC ~ DEF then 12/6, 16/8, and 18/9 would equal 2
BUT since we are going from a large triangle to a small triangle, our answer needs to be less then one, making our answer 1/2
3 0
2 years ago
Find the volume of a prism with base area 32 cm2 and height 1.5 cm.
ozzi

Answer: 48

Step-by-step explanation:

8 0
2 years ago
Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of he
bulgar [2K]

Complete Question:

To create a bulletin board, Maryann is planning to stretch fabric from burlap sacks over cardstock. She collects 6 kg of burlap sacks. The area density of the burlap is 0.4 kg/m².

Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of her friends a replica of her bulletin board that measures 2 meters by 3 meters . How many kilograms of burlap should Maryann collect to complete the bulletin boards for her friends?

Answer:

To complete the bulletin boards for her friends, Maryanne should collect 6 kg of burlap more

Step-by-step explanation:

Mass of burlap sacks that Maryann collects = 6 kg

Area density of burlap = 0.4 kg/m²

Area Density = Mass / Area........(1)

The Area of bulletin board that can be made with the 6 kg of burlap sand can be calculated by using equation (1)

0.4 = 6 / Area

Area = 6/0.4

Area of bulletin board that can be made from 6 kg= 15 m² of bulletin board  

The area of bulletin board that Maryann made for herself = 2 * 3 = 6m²

To make similar bulletin boards for her four friends, the total area of bulletin board made for her 4 friends = 6 * 4 = 24m²

To calculate the mass of burlap required to make a 24m² bulletin board, use equation (1)

0.4 = Mass / 24

Mass = 0.4 * 24

Mass = 9.6 kg

The mass of burlap used to make Maryann's bulletin board alone:

0.4 = Mass/6

Mass = 2.4 kg

Out of the 6kg that she got, she has used 2.4 kg for herself

The remaining mass of burlap = 6 - 2.4 = 3.6 kg

Therefore, to complete the bulletin board for her friend, she should collect (9.6 - 3.6) = 6 kg of bulletin more

5 0
3 years ago
Ann invest $1,450 for 5 years at 2% simple interest what is the total amount of interest earned
yawa3891 [41]

Answer: $145 in interest.

Step-by-step explanation: 2% of $1,450 is $29. Multiply this by 5 and you get $145.

4 0
2 years ago
Please help me!!!!!!!!!
Aneli [31]
It’s 45, since the bottom corner is 90, the top one is 45 bc if you turn it into a rectangle it has to be 90 also and half of that is 45, 90 plus 45 is 135 and all the angle of a right triangle make 180, so 180 minus 135 is 45
5 0
2 years ago
Read 2 more answers
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