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netineya [11]
2 years ago
8

Compute the Gross Pay for these situations:

Mathematics
1 answer:
andrew-mc [135]2 years ago
3 0

62525262626

Step-by-step explanation:

52525252+45541537948-5751576544+4246-5484-24848+2757%

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1. To the nearest degree, find the measure of angle A.
Assoli18 [71]

Answer:

(1) Option A is correct , The measure of angle A = 26°

(2) Option D is correct, The measure of angle B  =70°

Step-by-step explanation:

(1)

In a right angle triangle figure-1 ,

* Hypotenuse(H) is always opposite the right angle and it is always the longest side of the triangle.

* Adjacent side (B) is the non-hypotenuse side that is next to a given angle A.

* Opposite side(P) is across from a given angle A.

To find the Angle A we use the Cosine ratio:

Cosine ratio states that the ratio of the adjacent side of a right triangle to the hypotenuse.

By definition of cosine ratio we have;

\cos A = \frac{B}{H}                      ....[1]

In the figure - 1 we have B = 18 in and H = 20 in

substitute these in [1] to find angle A

\cos A =\frac{18}{20} =\frac{9}{10} = 0.9

or

A = cos^{-1} (0.9)

⇒ A \approx 26^{\circ}

therefore, the measure of angle A is,  26^{\circ}

(2)P

In figure -2

Find the measure of angle B.

First find the side BC, using Pythagoras theorem;

Pythagoras theorem states that in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Apply Pythagoras theorem in rt. angle ABC;

AB^2 = AC^2+BC^2

Substitute the values of AB = 5.1 cm and AC =4.8 cm to solve for BC

(5.1)^2=(4.8)^2 +BC^2

26.01 = 23.04+BC^2

Simplify:

BC^2 = 2.97 or

BC = \sqrt{2.97} =1.723 cm

Now, find the angle B, using tangent ratio;

Tangent ratio states that the ratio of the Opposite side of a right triangle to the adjacent side.

\tan B = \frac{AC}{BC} =\frac{4.8}{1.732} =2.772

B = \tan^{-1} (2.772) \approx 70^{\circ}

Therefore, the measure of angle B is; 70^{\circ}.

4 0
3 years ago
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A business invests $10,000 in equipment to produce a product. Each unit of the product
kodGreya [7K]
More than 3,529.41176 which rounds up to 3,500.
5 0
2 years ago
40 POINTSSSSSS> RIGHT ANSWER ONLY!!!!. Will report if answer is faulty. PLEASE HELP MATHEMATICIANS!!!!!!!
Marat540 [252]
The probability of hitting the black circle is closer to 0 than it is to 1. because: find area of circle ~ 3.14*r^2
which is 3.14 because the radius squared is 1. so 1*3.14= 3.14
 and the area of the whiteness is 121.
subtract 3.14 from 121 and you get 117.86 
this answer is closer to a 0 probability than the white space. the white space is closer to a probability of 1.
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7 0
3 years ago
Which set of shapes could you use to form a net for a
Hoochie [10]

Answer:

A

Step-by-step explanation:

I did the assignment :>

5 0
3 years ago
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A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth
FinnZ [79.3K]

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

7 0
3 years ago
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