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kakasveta [241]
3 years ago
10

Which of the following is a prime number (a).111 (b)91 (c).61 (d).51​

Mathematics
2 answers:
navik [9.2K]3 years ago
5 0

Answer:

(c).61

Step-by-step explanation:

61 is a prime number. The number is divisible only by 1 and itself.

marin [14]3 years ago
4 0

Answer:

61

Step-by-step explanation:

Hope this helps and good luck!:D

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Stuffed animals each weighing 1/4
Natali5045456 [20]

Answer:

6

Step-by-step explanation:

because  if its 1&1/2 then it would be 6

4 0
3 years ago
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Solve the triangle. Round your answers to the nearest tenth.
mixas84 [53]

Answer:

Angles: \angle A = 43^{\circ}   \angle B = 55^{\circ}    \angle C = 82^{\circ}

Sides: BC = 20   AB = 29   AC =24

Step-by-step explanation:

See attachment for complete question

From the attachment, we have:

AB = 29

AC =24

\angle C = 82^{\circ}

Required

Complete the missing side and missing angles

To calculate angle B, we apply sine laws:

\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}

In this case:

\frac{AB}{sinC}=\frac{AC}{sinB}

This gives:

\frac{29}{sin(82^{\circ})}=\frac{24}{sinB}

\frac{29}{0.9903}=\frac{24}{sinB}

Cross Multiply

sinB * 29 = 24 * 0.9903

Divide both sides by 29

sinB  = \frac{24 * 0.9903}{29}

sinB  = 0.8196

Take arcsin of both sides

B  = sin^{-1}(0.8196)

B = 55^{\circ}

So:

\angle B = 55^{\circ}

To solve for the third angle, we make use of:

\angle A + \angle B + \angle C = 180^{\circ}

This gives:

\angle A + 55^{\circ} + 82^{\circ} = 180^{\circ}

\angle A + 137^{\circ}= 180^{\circ}

\angle A = 180^{\circ}- 137^{\circ}

\angle A = 43^{\circ}

Hence, the angles are:

\angle A = 43^{\circ}   \angle B = 55^{\circ}    \angle C = 82^{\circ}

To calculate the length of the third side, we apply cosine law

BC^2 = AB^2 + AC^2 - 2*AB*AC*cosA

BC^2 = 29^2 + 24^2 - 2*29*24*cos(43^{\circ})

BC^2 = 841+ 576 - 1392*cos(43^{\circ})

BC^2 = 841+ 576 - 1392*0.7314

BC^2 = 841+ 576 - 1018.11

BC^2 = 398.89

Take the square root of both sides

BC = \sqrt{398.89

BC = 19.9722307217

BC = 20

5 0
3 years ago
Im not sure how to solve this please help
Effectus [21]
Look at the corresponding angle to 82, which is to the left of line b

It also measures 82 according to "corresponding angle theorem"


Then
angle x is equal to it as they are vertical pair of angle

so that, the measure of x equals 82 degree

I hope that helps
5 0
3 years ago
The total amount of a product available in a market at a given price is called the
Andrew [12]
The answer to this question would be: supply

Supply will influence the current price of the market. When the supply increase, the cost will be decreased because it will be easier to find the product. When the supply decreased, the price will be increased because the product will be harder to find.
4 0
4 years ago
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Subtract 3 hours, 50 minutes from 5 hours, 20 minutes. 2 hours, 20 minutes
Furkat [3]

Answer:

1 hours 30 minutes

Step-by-step explanation:

Subtract 5 hours 20 minutes and 3 hours 50 minutes

which gives 1 hours 30 minutes

4 0
4 years ago
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