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3 years ago

Use the reciprocal property to solve for x:

Mathematics

1 answer:

Natali5045456 [20]3 years ago

6 0

Answer:

The answer is 1800.

Step-by-step explanation:

3/540 = 10/x

3x = 540 × 10

x = 5400/3

x = 1800

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HELP!!! RST has vertices R(-3, - 1), S(0,3), and t(3,0). What type of triangle is RST?

VladimirAG [237]

<h3>Answer: C) scalene</h3>

======================================================

Explanation:

Use the distance formula to calculate the distance from R to S. This is identical to the length of segment RS.

$R = (x_1,y_1) = (-3,-1) \text{ and } S = (x_2, y_2) = (0,3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-0)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\$

Segment RS is exactly 5 units long.

-----------------------

Repeat similar steps to find the length of segment ST

$S = (x_1,y_1) = (0,3) \text{ and } T = (x_2, y_2) = (3,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (3-0)^2}\\\\d = \sqrt{(-3)^2 + (3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d \approx 4.2426\\\\$

ST is roughly 4.2426 units long.

------------------------

Lastly, let's calculate the length of segment TR.

$T = (x_1,y_1) = (3,0) \text{ and } R = (x_2, y_2) = (-3,-1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-3))^2 + (0-(-1))^2}\\\\d = \sqrt{(3+3)^2 + (0+1)^2}\\\\d = \sqrt{(6)^2 + (1)^2}\\\\d = \sqrt{36 + 1}\\\\d = \sqrt{37}\\\\d \approx 6.0828\\\\$

TR is about 6.0828 units long.

------------------------

Summary of the segment lengths:

RS = 5 exactly
ST = 4.2426 approximately
TR = 6.0828 approximately

The three sides are different lengths.

Therefore, the triangle is scalene.

5 0

2 years ago

Divide £56 in a ratio of 4:3

Kobotan [32]

÷you need to find how many parts there are ; 4 + 3 = 7

you then need to divide the number by the parts ; £56 ÷ 7 = £8

1 part = £8

4:3, 4 parts : 3 parts.

4 x £8 = £32

3 x £8 = £24

 4:3 = £32:£24

to check your answer ;

add both parts of your final answer , £32 + £24 = £56

7 0

3 years ago

Read 2 more answers

How would you solve this?

finlep [7]

Answer:the probability that a pensioner catches a flu is 0.3 or $\frac{3}{10}$

Step-by-step explanation:

Data:

a) Pensioners who have had a flu jab = $\frac{3}{5}$

b) Pensioners who did not had a flu jab = 1 - $\frac{3}{5}$ = $\frac{2}{5}$

For the first pair of arrows: a is the probability of the upper arrow and b is the probability of the lower arrow.

If pensioner have had a flu jab, the probability of catching flu is $\frac{1}{30}$

Data:

c) Catching flu = $\frac{1}{30}$

d) Not catching flu = 1 - $\frac{1}{30}$ = $\frac{29}{30}$

The second pair of arrows on the top: Top arrow is c and bottom arrow is d

If pensioner did not have a flu jab, the probability of catching flu is $\frac{7}{10}$

Data:

e) Catching flu = $\frac{7}{10}$

f) Not catching flu = 1 - $\frac{7}{10}$ = $\frac{3}{10}$

The second pair of arrows on the bottom: Top arrow is e and bottom arrow is f.

Q) Probability pensioner catches a flu

P(catches the flu given that he had the flu jab) + P(catches the flu given that he did not have the flu jab)

( $\frac{3}{5}$ x $\frac{1}{30}$ ) + ( $\frac{2}{5}$ x $\frac{7}{10}$ )

= 0.02 + 0.28

= 0.3

Therefore, the probability that a pensioner catches a flu is 0.3 or $\frac{3}{10}$

Keyword: Probability

Learn more about probability at

#LearnwithBrainly

5 0

3 years ago

Pls help i dont need work shown just the answer if yk

Greeley [361]

Answer:

The balance in the account increases at a rate of 2.5% each year

6 0

3 years ago

Please solve the math problem for me... I will mark you brainliest

natali 33 [55]

Answer:

$x=34$

Step-by-step explanation:

*it's kind of hard to read the number in parenthesis though but i think it's 5

both angles have to add up to 180º because they are co-exterior angles on parallel lines.

$2(x+5)+102=180\\2(x+5)=78\\2x+10=78\\2x=68\\x=34$

6 0

3 years ago