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3 years ago

11

Which triangle is it ?

1 answer:

coldgirl [10]3 years ago

5 0

The answer is: The first triangle. The reasons are shown below:

1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:

Tan(α)^-1= opposite leg/adjacent leg

Opposite leg=5
Adjacent leg=5√3

Tan(α)^-1= 5/5√3
Tan(α)^-1=30°

2. Let's calculate the other angle:

Tan(α)^-1= opposite leg/adjacent leg

Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:

Tan(α)^-1= 5√3/5
Tan(α)^-1=60°

As you can see, the angles of first triangle are: 30°,60° and 90°.

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Find two consecutive even integers whors sum is 86. Which of the following could be used to solve the problem?

Yuliya22 [10]

Answer:

42 and 44

Step-by-step explanation:

The even numbers are numbers which can be written as 2n where n is any integer number.

Therefore, two consecutive numbers would be "2n" and "2n + 2"

We then have that

2n + (2n+2) = 86

4n + 2 = 86

4n = 84

n = 21

And the even number 2n is 2(21) = 42.

(We can verify this answer by doing 42 + 44 = 86)

5 0

2 years ago

The quality control team of a company checked 800 digital cameras for defects. The team found that 20 cameras had lens defects,

dmitriy555 [2]

Answer:

0.025

Step-by-step explanation:

-This is a conditional probability problem.

-Let L denote lens defect and C charging defect.

#We first calculate the probability of a camera having a lens defect;

$P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025$

#Calculate the probability of a camera having a charging defect:

$P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125$

The the probability that a camera has a lens defect given that it has a charging defect is calculated as:

$P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025$

Hence, the probability that a camera has a lens defect given that it has a charging defect is 0.025

6 0

2 years ago

What is the coefficient of the term of degree 4 in this polynomial 4x^8+5x^4-2x^3+

eduard

5Answer:

Step-by-step explanation:

sorry if this is wrong

8 0

3 years ago

Put 0.7 as a fraction in simplest form

andreyandreev [35.5K]

0.7 is just 7 tenths which is literally 7/10.

4 0

3 years ago

Determine and state the length of a line segment whose endpoints are (4,7) and (−3,5). Round your answer to the nearest tenth.

Romashka-Z-Leto [24]

Answer:

$\left(\frac{1}{2},\:6\right)$

Step-by-step explanation:

Plug into the midpoint formula

$(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )$

<u>Hope this helps :-)</u>

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4 0

3 years ago