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gogolik [260]
3 years ago
11

2.

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

(A) 24 and 66

Step-by-step explanation

Complementary angles add up to 90 degrees

Supplementary angles add up to 180 degrees

(A) 24 + 60 = 90

These 2 angles sum to 90, so therefore they are complementary

(B) 56 + 124 = 180

These 2 angles sum to 180, so they are supplementary, not complementary

(C) 34 + 66 = 100; 34 + 56 = 90

While 34 and 56 sum to 90 degrees, 34 and 66 sum to 100, so this answer does not satisfy the question

(D) 56 + 124 = 180; 66 + 114 = 180

Both of these angle pairs are supplementary, so they do not satisfy the answer to the question

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Find the surface area of the cube
andre [41]

Answer:

150

Step-by-step explanation:

Knowing that a cube has 6 faces which all are equal.

Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.

Since, it given that one face is 5 cm

Then, we also must know the formula for area of a cube

Which is:

Area=6a^2

Thus,

Area=6a^2

Area=6(5)^2

Area=6(25)

Area=150

<u><em>Kavinsky</em></u>

4 0
2 years ago
What is the area of the sector shown in the diagram below?
Step2247 [10]
The formula to find the area of a sector = Ф*r²/2

Ф to be in radian, here Ф=45° =π/4

sector = 1/2(π/4)x 100
sector = 39.27 ≈39.3° (B)

6 0
2 years ago
An oarsman can row his boat 3 mph in still water. He sets out on the Illinois River, which flows at 5 mph. We are interested in
Artyom0805 [142]

Answer:

The speed from the observer is 8 mph.

Step-by-step explanation:

When the boat is going downstream with full force, its speed will be the one the oarsman can row on still water added by the flow of the river. In this case he can row the boat at speed of 3 mph, while the stream is 5 mph, so the speed from the observer standpoint is:

speed = 3 + 5\\speed = 8 \text{ mph}

The speed from the observer is 8 mph.

4 0
3 years ago
Find the surface area and volume of a cylinder with a diameter equal
dangina [55]

Answer:

Volume = 1539.38 cm³

Surface Area = 747.7 cm²

Step-by-step explanation:

Volume = πr² h

V = π(7)²(10)

V = π(49)(10)

V = 490π

V = 1539.38 cm³

Surface Area = 2πrh + 2πr²

SA = 2π(7)(10) + 2π(7)²

SA = 2π(70) + 2π(49)

SA = 140π + 98π

SA = 238π

SA = 747.7 cm²

8 0
2 years ago
PLEASE HELP I WILL MARK THE BRAINLIEST
-BARSIC- [3]

Given: lines l and m are parallel, and line t is a transversal.

angle pair result/justification

1 and 2 are equal (vertical angles)

6 and 8 are equal (corresponding angles)

1 and 4 are equal (alternate exterior angles)

4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)

Note:

alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.

If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)

If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)

8 0
2 years ago
Read 2 more answers
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