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insens350 [35]
3 years ago
12

What is the answer to number 5?

Mathematics
1 answer:
Basile [38]3 years ago
3 0
Factor out -x from the expression

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Cos90degrees cos30 degrees + sec-squared45degrees sin30degrees - cos270degrees sin180degrees
yawa3891 [41]

Step-by-step explanation:

\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180

But we know that

\cos 90 = \cos 270 = \sin 180 = 0

and

\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}

so this leaves us with just

\sec^2 45 \sin 30 = (\sqrt{2})^2  \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}

6 0
3 years ago
PLEASE HELP ASAP <br>will mark brainliest​
GREYUIT [131]

Answer:

7

Step-by-step explanation:

7-7=0 and this cannot happen in the denominator

4 0
2 years ago
Read 2 more answers
What is the value of x in the equation <br> -5/8x=-160?
Helen [10]

Answer:

x= 1/256

Step-by-step explanation:

1. multiply both sides by 8x (answer: -5= 8x*-160)

2. divide both sides by -160 (answer: -5/-160 or 1/32 =8x)

3. divide both sides by 8 (answer: 1/256 = x

4. check your answer: -5/(8*1/256)= -160

5 0
3 years ago
A certain small factory employs 98 workers of these 10 recieve a wage of 150 dollars per day and the rest recieve 85.50 dollars
cricket20 [7]
10 × $150 = $1500
88 × $85.50 = $7524
1500 + 7524 = $9024 a day.
9024 × 6 = $54,144 (the answer)
Hope this helps!
4 0
3 years ago
Read 2 more answers
A triangle has sides which are consecutive odd integers and an
wolverine [178]

Answer:

Perimeter = 15

Step-by-step explanation:

We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.

Thus means that we can write the 3 terms as;

(x - 2), x, (x + 2)

Thus, perimeter is;

P = (x - 2) + x + (x + 2)

P = 3x

If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.

Thus, this side is (x + 2)

Using cosine rule, we have;

(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120

Expanding, we have;

x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)

This reduces to;

4x = x² - 4x + x² - 2x

2x² = 10x

2x = 10

x = 10/2

x = 5

Thus, other sides are;

(x - 2) = 5 - 2 = 3

And (x + 2) = 5 + 2 = 7

So,perimeter is;

P = 3x = 3 × 5 = 15

8 0
3 years ago
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