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nydimaria [60]
2 years ago
9

Find the probability that a randomly selected group of five adults will contain all men. Give your answer as a reduced fraction.

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
7 0

Assuming the probability of selecting one man is 1/2 and independent events,

p = (\frac 1 2)^5 = \frac{1}{32}

Answer: 1/32

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Determine the scale factor for each pair of triangles
Alik [6]

Triangle A is the original triangle, and triangle A' is the image.

We need a pair of corresponding sides in the two triangles that are both labeled with lengths.

We see the side labeled 15.2 mm in triangle A', and we see the side labeled 3.8 mm in triangle A. These two sides are corresponding sides.

Divide the length of the side in the image by the length of the side in the original to find the scale factor.

(15.2 mm)/(3.8 mm) = 4

The scale factor is 4.

6 0
3 years ago
Find the area of an equilateral triangle with radius 22 cm. Round to the nearest whole number.
earnstyle [38]

Answer:this item, we are given with the radius equal to 22 cm.

In this measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60°  and equal to the hypotenuse times (1/2)(√3)

Step-by-step explanation:

If we let s be the side of the triangle then,

                 s/2 = r(1/2)(√3)

Multiplying the equation by 2,

                 s = r√3

Substituting,

              s = (22 cm)(√3) = 22√3

The area of the equilateral triangle is computed through the equation,

         A = (√3 / 4)(s²)

Substituting,

         A = (√3 / 4)(22√3)² = 628.7 cm²

Therefore, the answer to this item is the first choice. 

4 0
2 years ago
PLSS HELP<br><br> -21-9<br> ———-<br> -5
Simora [160]

Answer:

6

reduce the expression  and if possible do that by cancelling the common factors :)

4 0
2 years ago
A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An
Gnom [1K]
I would solve this using tangents.  Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.

Now write the tangent ratios:
tan A = \frac{h+70}{40}  , tan B = \frac{70}{40}

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
tan (A-B) = \frac{tanA - tanB}{1+tan A  tan B}
Plug in what we know:
tan(9) = \frac{ \frac{h+70}{40} -  \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}
tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650}
h = \frac{650 tan(9)}{4-7 tan(9)}
h = 35.6
7 0
3 years ago
Which of the following expressions are equivalent to 10-12
ladessa [460]

Answer:-12+10

Step-by-step explanation:10-12 can also be written as -12+10 which will give you -2

6 0
2 years ago
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