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3 years ago

Type the correct answer in the box. If cos x = sin(20 + x3° and 0°

Mathematics

1 answer:

mylen [45]3 years ago

5 0

Answer:

x = 35 degrees.

Step-by-step explanation:

(x\°) + (20+x) \°=90\°

want to solve for solve for x

2x = 90 - 20

2x = 70

x = 70 / 2

x = 35 degree

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A retailer sold a vacuum cleaner for 40% below its marked price. The sale price was 50% above the cost to the retailer. What is

Komok [63]

Answer:

10 : 9

Step-by-step explanation:

Given that a retailer sold a vacuum cleaner for 40% below its marked price.

Let the marked price = P

40% below = (100 - 40)P/100

Sale price = 60P/100

Sale price = 0.6P

The sale price was 50% above the cost to the retailer.

That is, cost price = (100 + 50)0.6P/100

Cost price = (150)0.6P/100

Cost price = 1.5 × 0.6P

Cost price = 0.9P

What is the ratio of marked price to cost?

The ratio will be = P/0.9P

Multiply both the numerator and denominator by 10

Ratio = 10 : 9

5 0

3 years ago

In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume

solong [7]

Answer:

the approximate probability that the total weight of the passengers exceeds 4668 pounds is 0.0089

Step-by-step explanation:

Using the central limit Theorem

z = (x - u )/Q÷ sqrt n

Where z is the z-score

x is the average weight = 4668/22 = 212.2

u is the passengers average = 194 pounds

Q is standard deviation = 36 pounds

Therefore

z= (212.2 - 194) / 36 ÷ sqrt22

= 18.2/ 36÷ 4.69

= 18.2/7.68

z=2.3698 aprx 2.37

Find the value of 2.37 z-score on the z-table to determine the approximate probability

P(z>2.37) = 0.0089 (from the z-table)

6 0

3 years ago

Read 2 more answers

Gershon lives 3 10 mile from the soccer fields. How far does Gershon walk if he walks from home to the soccer fields and back ho

jenyasd209 [6]

Answer:

Gershon walked 620 mile

Step-by-step explanation:

From the question,

Gershon lives 310 mile from the soccer fields,

This means the distance from where Gershon lives to the soccer fields is 310 mile.

Likewise, the distance from the soccer fields to where Gershon lives his as well 310 mile.

So, if Gershon walks from his home to the soccer fields, he will cover a distance of 310 mile.

Then, if Gershon walks back home from the soccer fields, he will cover another distance of 310 mile.

Now, To determine how many miles he walked,

Total number of miles Gershon walked = The distance from where Gershon lives to the soccer fields + The distance from the soccer fields to where Gershon lives

Hence, Total number of miles Gershon walked = 310 mile + 310 mile

Total number of miles Gershon walked = 620 mile

Hence, Gershon walked 620 mile

5 0

3 years ago

Austin began a repiping job with 26 yards, 2 feet, 5 inches of pipe. When he finished the job, he had 13 yards, 2 feet, 7 inches

My name is Ann [436]

Answer:

<em>He used 12.944... yards of pipe for the repiping job.</em>

Step-by-step explanation:

We know that, 1 yard = 3 feet and 1 feet = 12 inches.

That means, 1 yard = (3×12) inches = 36 inches.

So, 1 feet = $\frac{1}{3}$ yard and 1 inch = $\frac{1}{36}$ yard.

Thus, 26 yards, 2 feet and 5 inches $=(26+\frac{2}{3}+\frac{5}{36}) yards = 26.805... yards$

and 13 yards, 2 feet and 7 inches $=(13+\frac{2}{3}+\frac{7}{36}) yards = 13.861... yards$

So Austin began a repiping job with 26.805... yards of pipe and when he finshed the job, he had 13.861... yards.

So, the length of the pipe he used for the repiping job will be: $(26.805...-13.861...) yards = 12.944... yards$

8 0

3 years ago

Read 2 more answers

Evaluate the following expression for y-8 and 2=3

NNADVOKAT [17]

Hi!

The correct answer to this <span>expression is y=9 if the equation is y-8+2=3 or y=19 if the equation is y-8</span>×2=3.

To get y=9 you need to add 2 to -8 to get -6, then you need to find the number that when subtracted by 6 equals 3 and that number is 9.

To get y=19 you need to multiply -8 by 2 to get -16, then you need to find the number that when subtracted by 16 equals 3 and that number is 19.

If it is neither of these answers then it is y-8 because you are replacing 2 with 3 in the expression.

6 0

3 years ago