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3 years ago

Find sin, where the angle is shown Give the exact value, not a decimal approximation

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

Answer:

sinΘ = $\frac{24}{25}$

Step-by-step explanation:

sinΘ = $\frac{opposite}{hypotenuse}$

The opposite is 24, but we require the hypotenuse h

Using Pythagoras' identity

h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

h = $\sqrt{625}$ = 25

Thus

sinΘ = $\frac{24}{25}$

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If 12% of the total amount is 108. What is the total amount?

weqwewe [10]

Answer: 900

Step-by-step explanation:

12% means 0.12

total amount means X

"of" means multiply

"is" means equal sign

0.12 * X = 108 / Divide both sides by 0.12

X = 108 / 0.12 = 900

6 0

2 years ago

X+x-z; use x=3 & z=4

nadezda [96]

Answer:

Step-by-step explanation:

Order of operations is not as applicable in this situation because we're just dealing with addition and subtraction. This is a simple case of plugging in values for the given expression.

x = 3

z = 4

So it becomes...

3 + 3 - 4

6 - 4

So with the given expression of x + x - z and the given values of x = 3 and z = 4, the expression should sum to: 2

6 0

3 years ago

A sequence of numbers if 0, 12, 24, 36, 48... Drag tiles to complete the statements.

notsponge [240]

Answer:

60, 72, arithmetic

Step-by-step explanation:

48 + 12 = 60

60 + 12 = 72

An 'Arthimetic sequence' is what is presented in this question.

6 0

3 years ago

1. Let C be between D and E. Use the Segment addition Postulate to solve for v.

AURORKA [14]

By applying the segment addition postulate, the value of v = 7

According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:

DC + CE = DE

Given that:

$DC = 2v-15\\\\CE = 3v-8\\\\DE = 27$

Therefore, by substitution, we will have the following equation:

$(2v-15) + (3v-8) = 27$

Open the bracket and solve for the value of v.

$2v-15 + 3v-8 = 27$

Add like terms

$5v - 23 = 27$

Add 23 to both sides

$5v - 23+ 23 = 27 + 23\\\\5v = 50$

Divide both sides by 5

v = 10

Therefore, using the segment addition postulate, the value of v = 10

Learn more about the segment addition postulate here:

brainly.com/question/1721582

7 0

3 years ago

If the subtotal (the cost of all the items bought) is $110.00, what is the sales tax if the rate is 8.25%?

lukranit [14]

Good question , don’t really know but use photo math or there’s an link for you

6 0

3 years ago