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Juliette [100K]
3 years ago
15

write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

∠RQS = 21°

∠TQU = 28°

Step-by-step explanation:

90° + 221° + 3x + 4x = 360°

combine like terms:

7x + 311° = 360°

subtract 311° from each side of the equation:

7x = 49°

divide both sides by 7:

x = 7°

∠RQS = 3x = 3(7°) = 21°

∠TQU = 4x = 4(7°) = 28°

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Work out the surface area of this cylinder radius 2cm and height 4cm pls help​
Alex

Step-by-step explanation:

surface area of cylinder is

2×pi×r (h+r)

2×22/7×2 (4+2)

88/7 (4+2)

75.4 cm square

6 0
3 years ago
On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees
Ann [662]

Answer:

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent from other employees. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of the production employees at Midland States Steel are absent from work.

This means that p = 0.05

What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

This is P(X = 0) when n = 10. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

4 0
3 years ago
Use the quadratic formula to find the solution to the quadratic equation in the box below.
nekit [7.7K]
The solution to the quadratic equation is option D
4 0
3 years ago
Brian made a tasty burger . the diameter of the Burger was 5cm. what is the radius of the circle?
4vir4ik [10]

19.625cm squared because you have to divide the diameter by 2 to get the radius.

Area of circle = pi times radius times radius

= 3.14 times 2.5 times 2.5

= 19.625cm squared

6 0
3 years ago
The difference between city hall and the post office is 6 1/2 miles ( six and one half)city hall is 1 1/3 (one and one fourth NO
Norma-Jean [14]
City hall to post office = 6 1/2 miles  = represented by f
city hall to library site = 1 1/4 miles  = represented by d
library site to post office = unknown. = represented by e

City hall to library site  PLUS library site to post office IS EQUAL to city hall to post office

d + e = f

1 1/4 + e = 6 1/2

find e.
e = 6 1/2 - 1 1/4
e = 13/2 - 5/4
e = (13*2)/(2*2)  - 5/4
e= 26/4 - 5/4
e = (26-5)/4
e = 21/4
e = 5 1/4    distance from library site to post office.
 
To check:
d + e = f

1 1/4 + e = 6 1/2
1 1/4 + 5 1/4 = 6 1/2
6 2/4 = 6 1/2
6 1/2 = 6 1/2



6 0
4 years ago
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