All categories

3 years ago

Can someone please help me ASAP

Mathematics

1 answer:

deff fn [24]3 years ago

3 0

Answer:

QR = 17 cm

Step-by-step explanation:

Δ RST is a 5- 12- 13 triangle with hypotenuse RT = 13 cm , then

TS = 5 cm and PT = 2 × 5 = 10 cm

So PS = 10 + 5 = 15 cm

PS is parallel to the vertical line from vertex Q and intersects the horizontal line projected from SR of length 20 - 12 = 8 cm

Using the right triangle formed calculate QR using Pythagoras' identity

QR² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )

QR = $\sqrt{289}$ = 17

You might be interested in

6^3-4^2+17divide(x-4)

mr Goodwill [35]

Answer:

-54.25

Step-by-step explanation:

Just do it step by step and youll get the answer

5 0

2 years ago

We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed

eimsori [14]

Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

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

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

$C_{27,8} = \frac{27!}{8!19!} = 2220075$

2,220,075 committees can be formed.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700

3 0

2 years ago

Find f(-1)<br><br> please help, not good at math.

bagirrra123 [75]

This means that X in the equation equals -1

7 0

3 years ago

In Mr. Harold's class there are 12 students. They each have 5 pencils. Some of the students, s, each lost 2 pencils. Now, the st

Katena32 [7]

The answer would be C. (12 x 5) - (s x 2) = 38.

This is because if there are 12 students with 5 pencils per student, we can say 12 x 5. Then, think of the phrase, two pencils lost per student. That would be 2s, or (s x 2). Since it’s lost, we would subtract that amount from 12 x 5.

3 0

3 years ago

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in

raketka [301]

Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.

Now just divide the size of the vat by that number, and you find your answer.

70 gallons / 3 gallons per hour = 23 1/3 hours.

6 0

3 years ago

Can someone please help me ASAP​

Can someone please help me ASAP