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Agata [3.3K]
3 years ago
7

Which of the following graphs is described by the function given below?

Mathematics
1 answer:
dusya [7]3 years ago
6 0

Step-by-step explanation:

D. Graph D the answer is D

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For the right triangles below, find the exact values of the side lengths b and d.
Ivanshal [37]

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

7 0
2 years ago
Mario's heart beats 72 times per minute. how many times does it beat in a year. answer in standard form correct to 2 significant
klemol [59]
You would do 60 seconds multiplied by 24 hours in a day which would be 1440 beats then you would multiply by the number of days in a year which is 365 then you would get the awnser of  525,600 beats per year.
7 0
3 years ago
Read 2 more answers
67.498 to the nearest whole number
insens350 [35]

Answer:

67

Step-by-step explanation:

To round 67.498 to the nearest whole number consider the tenths’ value of 67.498, which is 4 and less than 5. Therefore, we have to round down: the whole number ones place value of 67.498, 67, remains 67, and the decimal point and all digits (.498) are removed.

67.498 rounded to the nearest whole number = 67

8 0
3 years ago
One kilogram is approximately equal to 2.21 pounds. Find the number of pounds in 165 kilograms. Round to the nearest tenth of a
Shtirlitz [24]

Answer: 364.7 pounds

Step-by-step explanation: Multiply the number of kilograms, 165, by the number of pounds per kilogram, 2.21.

165 x 2.21 = 364.65

Round to the nearest tenth.

364.7 pounds in 165 kilograms.

8 0
2 years ago
What would you do if you saw a to 99 year old women fighting over a 21 year old man
Sophie [7]

Answer:

kick them to the moon. <D

Step-by-step explanation:

it's probably wrong- but that's what i'd do lolol

3 0
3 years ago
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