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Angelina_Jolie [31]
3 years ago
10

Construct an isosceles right-angled triangle ∆PQR where ∠ =90° and QR=4cm.

Mathematics
1 answer:
stepan [7]3 years ago
6 0

Answer:

Isosceles right-angled triangle ∆PQR in the picture

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Write an equation for a circle if the endpoints of a diameter are at (–7, 1) and (5, 1).
yulyashka [42]
The diameter is 12 units long. Their equation could be seen in y = 1, because it is a horizontal line. From x = - 7 to x = 0 is 7 units. From x = 0 to x = 5, is 5 units. 5 + 7 = 12. This means the radius is 6. We will use this later. If you need another way to find the radius, let me know. I can just use distance formula. 

We will use these endpoints to find the center. 

Midpoint = ( \frac{X1+X2}{2} ,  \frac{Y1+Y2}{2} )
= ( \frac{- 7 + 5}{2} ,  \frac{1 + 1}{2} )
= ( \frac{-2}{2} ,  \frac{2}{2} )
= (- 1, 1)

This is the center. 

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center. 

Plug in our given information now.

(x + 1)² + (y - 1)² = 6²

(x + 1)² + (y - 1)² = 36 is your equation. 
3 0
4 years ago
Please help me.........
Viktor [21]
Find the unit rate, which is also known as slope, constant rate of change!
8 0
3 years ago
Skippy has a total of $10,000 to split between two investments. One account offers 4% simple interest, and the other account off
ki77a [65]

Skippy should invest $ 7500 in account offering 4 % interest and $ 2500 in account offering 8 % simple interest

<em><u>Solution:</u></em>

Given that Skippy has a total of $10,000 to split between two investments

One account offers 4% simple interest, and the other account offers 8% simple interest

Total interest earned = 500

Number of years = 1

Let the principal with rate of interest 4 % is x

So the principal for rate of interest 8 % is 10000 - x

Total interest earned = simple interest for 4 % interest + simple interest for 8 % interest

Simple interest is given as:

S.I = \frac{pnr}{100}

Where "p" is the principal and "r" is the rate of interest and "n" is the number of years

Therefore,

\text{ Total interest earned } = \frac{x \times 1 \times 4}{100} + \frac{10000-x \times 1 \times 8}{100}

500 = 0.04x + (10000 - x)0.08\\\\500 = 0.04x + 800 - 0.08x\\\\-300 = -0.04x\\\\x = 7500

Therefore skippy should invest $ 7500 in account offering 4 % interest

And skippy should invest (10000 - x) = (10000 - 7500) = $ 2500 in account offering 8 % interest

4 0
3 years ago
Please help solve this and show how you got it!! I WILL MARK BRAINLIEST!!!
Zarrin [17]

Answer:

Step-by-step explanation:

use teh width and hight of each qiuhqushbhbw and determin the ratio

6 0
3 years ago
40 is 35% of what number?
ratelena [41]

Answer: 114

Step-by-step explanation:

Let the number be y

35% of y = 40

35/100 × y = 40

35y/40 = 100

Cross multiply

35y = 100×40

35y= 4000

y= 4000/35

y= 114.29

The number is 114.29

5 0
3 years ago
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