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3 years ago

What is the 24% of 40?

Mathematics

2 answers:

USPshnik [31]3 years ago

3 0

24% of 40.

40 times 0.24 = 9.6

Therefore 24% of 40 = 9.6

aalyn [17]3 years ago

3 0

Well, the word "of" means, "multiply" (if in case you didn't know)
Anyhow, lets start working out this problem, shall we? 24(40) = ? 24 ÷ 100 = 0.24 0.24 (40) = 9.6 Your answer would be: 9.6

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Rectangle ABCD is similar to rectangle WXYZ. If the area of rectangle ABCD is 70 square inches, AD is 10 inches, and XY is 5 inc

rodikova [14]

Answer: The area of rectangle WXYZ is 18 square inches

Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as

Ratio = 10/5

Ratio = 2/1 (or 2:1)

However rectangle ABCD has its area as 70 square inches, which means the other side is given as

Area = L x W

70 = 10 x W

70/10 = W

7 = W

Therefore the width of the other rectangle is determined as,

10/5 = 7/W

10W = 5 x 7

10W = 35

Divide both sides of the equation by 10

W = 3.5

Having calculated the width of the other rectangle as 3.5, the area is now determined as

Area = L x W

Area = 5 x 3

Area = 17.5

Rounded off to the nearest integer, the area equals 18 square inches

8 0

3 years ago

Write a polynomial function, p(x) with degree 3 that has p(7)=0

MArishka [77]

Answer:

$p (x) = x^{3} - 21x^{2}+ 147x - 343$

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

$(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}$

Take a = x

b = 7

Substitute in the identity we get

$(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343$

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

$p (x) = x^{3} - 21x^{2}+ 147x - 343$

4 0

3 years ago

If T is the midpoint of SU find the values of x, ST and SU.

Nitella [24]

Answer: The required values are

x = 12 units, ST = 60 units and SU = 120 units.

Step-by-step explanation: Given that T is the midpoint of SU, where

ST = 5x and TU = 3x + 24.

We are to find the values of x, ST and SU.