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2 years ago

Find the value of x. 10 40 25

Mathematics

1 answer:

sertanlavr [38]2 years ago

3 0

Answer:

Step-by-step explanation:

use Pythagoras theorem to find x

X=√(40^2)-(25^2)

X= √1600-625

X=√975

x=31.22 31 approximately

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A point is reflected across the x-axis. The new point is (5 -3.5) What is the distance between the two points?

alukav5142 [94]

Answer:

Step-by-step explanation:

8 0

3 years ago

Find the amount of interest on $1,500 invested for 20 days at 6.75%, compounded daily. $_____

LekaFEV [45]

Answer:

The required amount of interest is $5538.

Step-by-step explanation:

Given : $1,500 invested for 20 days at 6.75%, compounded daily.

To find : The amount of interest ?

Solution :

Applying compound interest formula,

$A=P(1+r)^t$

Where, A is the amount

P is the principal P=$1500

r is the interest rate r=6.75%=0.0675 compounded daily

t is the time t=20 days

Substitute the value in the formula,

$A=P(1+r)^t$

$A=1500(1+0.0675)^{20}$

$A=1500(1.0675)^{20}$

$A=1500\times 3.69$

$A=\$5538$

Therefore, The required amount of interest is $5538.

4 0

4 years ago

Here are two rectangles.

Sophie [7]

Answer:

$AB=9.5\ cm$

Step-by-step explanation:

step 1

Find the length side PQ

we know that

The area of rectangle PQRS is given by

$A=(PQ)(QR)$

$A=66\ cm^2$

$66=(PQ)(QR)$

substitute the value of QR

$66=(PQ)(12)$

solve for PQ

$PQ=66/12\\PQ=5.5\ cm$

step 2

Find the length side AB

we know that

The perimeter of rectangle ABCD is given by

$P=2(AB+BC)$

we have

$P=30\ cm\\BC=PQ=5.5\ cm$

substitute

$30=2(AB+5.5)$

solve for AB

$15=AB+5.5\\AB=15-5.5\\AB=9.5\ cm$

6 0

3 years ago

Determine the constant of proportionality,k,of Kevin’s wage.

ankoles [38]

Answer:

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour

Step-by-step explanation:

1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Solution

y = kx is a proportional variation

Where,

y and x are represent two different variables

k represent constant of proportionality

From the attached table,

Let

y = wages earned (in dollars)

x = hours worked

To find the constant of proportionality k of Kevin's wage, divide the variable y (total earned) by the variable x (number of hours)

Using any points on the table

Take (8,66.00) for example

constant of proportionality k of Kevin's wage = variable y (total earned) / variable x (number of hours)

= 66.00/8

= 8.25

k = $8.25 per hour

B. Constant of proportionality of Greg's wage = variable y (total earned) / variable x (number of hours)

Using (9, 81.00)

k = 81.00/9

= 9

Greg's k = $9 per hour

C. Constant if proportionality of Savannah's wage = variable y (total earned) / variable x (number of hours)

Using (6, 57.00)

k = 57.00/6

= 9.5

Savannah's k = $9.5 per hour

Therefore,

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour

7 0

4 years ago

1. There are 4 quarters in 1 dollar.

PolarNik [594]

25 cents you dumb stupid child

3 0

3 years ago

Read 2 more answers