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xxTIMURxx [149]
3 years ago
13

Kay is drawing a triangle. Two of the sides have an equal length of 8 cm, and the angle between those sides measures 68°. Which

could be the measure of each base angle?
Mathematics
1 answer:
Allisa [31]3 years ago
8 0

The measure of each base angle is 56°.

<u>Step-by-step explanation</u>:

  • The isosceles triangle has two base angles that are congruent (same measure).
  • Let the measure of each base angle is 'x'.
  • The sum of angles in a triangle add to 180°.

base angle + base angle + 68° = 180°

2x + 68° = 180°

2x = 112°

x = 112/2

x = 56°

Therefore, the measure of each base angle is 56°.

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What is 0.92 / 7 as a speed
BigorU [14]

Answer:

The answer is 0.13.

Step-by-step explanation:

The formula for speed is distance divided by time. 0.92 / 7 = 0.13.

5 0
3 years ago
i will give brainliest A person who weighs 240 pounds burns 180 calories per mile of running.A person who weighs______pounds, bu
Vedmedyk [2.9K]

Set up a ratio:

240/180 = X/36

Cross multiply:

240 * 36 = 180x

8640 = 180x

Divide both sides by 180:

X = 8640 / 180 = 48

The person would weigh 48 pounds.

7 0
3 years ago
Read 2 more answers
Simplify expression 3(d+5)
steposvetlana [31]

Answer:

your answer would be 21

~hope this is the right answer, have a great day/night~

Step-by-step explanation:

6 0
3 years ago
Find
Sedaia [141]

Answer:

The amount of steel used = 94.38 m^{2}

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = \frac{diameter}{2}

           = \frac{4.2}{2}

radius  = 2.1 m

Total surface area of a cylinder = 2\pirh + 2\pir^{2}

                                      = 2\pir(r + h)

                                      = 2 x \frac{22}{7} x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

                                      = 87.12

Total surface area of a cylinder = 87.12 m^{2}

Since \frac{1}{12} of the steel was wasted, then;

\frac{1}{12} x 87.12 = 7.26 m^{2}

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 m^{2}

Thus, 94.38 m^{2} of steel was used in making the tank.

4 0
3 years ago
A banks loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviati
Alona [7]

Answer:

2.87%

Step-by-step explanation:

We have the following information:

mean (m) = 200

standard deviation (sd) = 50

sample size = n = 40

the probability that their mean is above 21.5 is determined as follows:

P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]

P (x> 21.5) = P (z> -22.57)

this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:

P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]

P (x> 215) = P (z> 1.897)

P (x> 215) = 1 - P (z <1.897)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) =.0287

Therefore the probability is approximately 2.87%

4 0
3 years ago
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