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Anna35 [415]
3 years ago
8

Anyone know the answer?

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer:

0.

Step-by-step explanation:

The angle whose sine is 5/12 = 22.62 degrees and in Quadrant II it is

180 - 22.62 degrees

The angle whose tan is (5/12)  = 22.62.

So we can write  α as 180 - α  and β as α.

sin (α+β) = sin ( 180 - α = α) = sin 180

= 0.

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On monday it took 5 builders to 3 1/2 hours to build a wall
zubka84 [21]

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took 3\dfrac{1}{2} hours  ( i.e. \dfrac{7}{2} hours )  to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : x_1y_1=x_2y_2

Let x be the time taken by 2 builders, then

2\times x =5\times \dfrac{7}{2}

\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75

So, 2 builders will take 8.75 hours.

Each paid  £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x  8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

5 0
3 years ago
Use the diagram. AB is a diameter, and AB is perpendicular to CD. The figure is not drawn to scale.
Westkost [7]

Answer:

The measure of arc BD is 147°

Step-by-step explanation:

we know that

If segment AB is perpendicular to segment CD

then

The measure of the inner angle CPA is a right angle (90 degrees)

Remember that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠CPA=(1/2)[arc AC+arc BD]

substitute the given values

90°=(1/2)[33°+arc BD]

180°=33°+arc BD

arc BD=180°-33°=147°

7 0
2 years ago
Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 5x − 4 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4
Damm [24]

Answer:

Option A

Step-by-step explanation:

We can try to factorize all the options one by one.

For A:

x^{2} +5x-4\\=> x^{2}+4x+x-4\\=>x(x+4)+1(x-4)

We can see that the quadratic expression cannot be solved by factorization as the factors at the end of factorization are not equal in both brackets. So Option A is the correct answer for the given question.

Moreover we can also note that all the other quadratic expressions can be factorized ..

8 0
3 years ago
1. Total selling price: $420,<br> Maine sales tax rate:<br> 5 percent.<br> Find the sales tax.
denpristay [2]

Answer: 21

Step-by-step explanation:

5%x420= 21

7 0
3 years ago
Select the correct statement or statements about compounds and molecules:
sineoko [7]

Answer:

1) and 3)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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