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3 years ago

Find the perimeter of the triangle

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

=136

Step-by-step explanation:

Lets solve the triangle using the sine formula.

c/sine C=a/sine A

C= 180-(72+16)

=92°

61/Sin 92=a/sin 72

a=(61 sin 72)/sin 92

=58.0

Solving for b:

c/sin C= b/Sin B

61/sin 92= b/Sin 16

b=(61 Sin 16)/Sin 92

=16.82

Perimeter = 61 +58+ 16.82 = 135.82

Answer =136 to the nearest whole number.

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I’m confused on this one

tatyana61 [14]

$6\sqrt2$

Why?

We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:

$h^2=6^2+6^2\\\\h^2=36+36\\\\h^2=36\cdot2\to h=\sqrt{36\cdot2}\\\\h=\sqrt{36}\cdot\sqrt2\\\\h=6\sqrt2$

In general, the formula for calculating the hypotenuse in an isosceles right triangle is $h=a\sqrt2$

a - a leg, h - a hypotenuse

7 0

3 years ago

Help me with question b plz

Assoli18 [71]

The answer would be B, because since there are four quarts in a gallon, we take 1 and 1/2 and revert that back to quarts. That gives us 6. The graph clearly shows two, being B.

6 0

3 years ago

You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. T

natita [175]

Answer:

Probability of getting Dr. Pepper the fourth time = $\frac{1}7$

Probability of getting a cherry coke the fifth time = $\frac{1}{3}$

Combined probability = $\frac{1}{21}$

Step-by-step explanation:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

It is given that first time a Cherry coke is chosen and it is not replaced.

So, number of cherry coke left = 2

Dr. Pepper is chosen twice and is not replaced, so

Number of Dr. Pepper left = 3 - 2 = 1

Total number of soda left = 10 - 3 = 7

So, probability of getting Dr. Pepper the fourth time = $\frac{1}7$

Now, total number of soda left = 7 - 1 = 6

Probability of getting a cherry coke the fifth time = $\frac{2}{6} = \frac{1}{3}$

The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time

$\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}$

6 0

3 years ago

Identify the type of sampling bias guaranteed to occur in each of the sampling schemes, based on the information provided. Some

melisa1 [442]

Answer:

1. i Sampling bias and

ii. Question order bias

2. Non response Bias

3.i. sampling bias

ii.question order bias

4. i. response bias

ii.sampling bias

Step-by-step explanation:

we have basically four types of bias in a research which are;

1. Sampling bias

2. Response bias

3. Non response bias

4. Question order bias

8 0

3 years ago

If y varies directly as x, find the unknown value in the problem below:

Oksi-84 [34.3K]

12/-30=8x
cross multiply
12x=-240
x=-20

3 0

3 years ago