32 is 40% of what number

Answers

Answer 1

Answer: 40% = 40 / 100 = 0.4

32 is 40% of what

= 32 / 40

= 32 / 0.4

= 80

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U can also use this equation to solve it.

32 = 40%x

Simplfy

= 32 = 2/5x

Flib the equation.

2/5x = 32

Multipy both sides by 5/2

(5/2) * 2/5x = (5/2) * 32

x = 80.

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Answer 2

Answer:

Answer:

Step-by-step explanation:

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(c) Express the diagonal of a rectangle, D, in terms of its width, w, if the area of the rectangle is 13 square feet. D(w) =

Answers

we are asked to express the diagonal of a rectangle in terms of the width in which the area of the polygon is equal to 13 square feet. The area of teh rectangle is equal to length times width. That is 13 = lw; diagonal using pythagorean theorem is sqrt ( l2 + w2). Thus d = sqrt ( (13/w)2 + w2) = sqrt ( (169/w2 + w2) = sqrt ( (169 + w4)/w2) = 1/w sqrt (169 + w4)

Answer:

Hence, the diagonal of rectangle in terms of width(w) is:

$D(w)=(√(169+w^4))/(w)$

Step-by-step explanation:

Let the length of the rectangle=l

and width of the rectangle is:w.

We know that the diagonal D of the rectangle is given by with the help of the Pythagorean theorem as:

$D=√(l^2+w^2)-------(1)$

Also the area of rectangle(A) is given as:

$A=l* w$

Area of rectangle=13=l×w.

$l=(13)/(w)$

Hence putting the value of l in equation (1) we get:

$D=\sqrt{((13)/(w))^2+w^2}=\sqrt{(13^2)/(w^2)+w^2}\n\nD=\sqrt{(169)/(w^2)+w^2}=\sqrt{(169+w^4)/(w^2)}=(√(169+w^4))/(w)$

Hence, the diagonal of rectangle in terms of width(w) is:

$D(w)=(√(169+w^4))/(w)$

What's the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m

Answers

Given:
height = 6m
chord = 20 m

We need to find the radius of the circle.

20 m = 2 √ [ 6m( 2 x radius - 6 m ) ]
20 m / 2 = 2 √[ 6m( 2 x radius - 6 m ) ] / 2
10 m = √ [ 6m( 2 x radius - 6 m ) ]
(10 m)² = √[ 6m( 2 x radius - 6 m ) ] ²
100 m² = 6 m( 2 x radius - 6 m )
100 m² = 12 m x radius - 36 sq m
100 m² + 36 m² = 12 m x radius - 36 m² + 36 m²
136 m² = 12 m x radius
136 m² / 12 m = 12 m x radius / 12 m
11.333 m = radius

the area beneath an arc:

Area = r² x arc cosine [ ( r - h ) / r ] - ( r - h ) x √( 2 x r x h - h² ).

r² = (11.333 m)² = 128.444 m²
r - h= 11.333 m - 6 m = 5.333 m
r * h = 11.333 m x 6 m = 68 m²

Area = 128.444 m² x arc cosine [ 5.333 m / 11.333 m ] - 5.333 m x √[ 2 x 68 m² - 36 m² ]

Area = 128.444 m² x arc cosine [ 0.4706 ] - 5.333 m x √ [ 100m² ]

Area = 128.444 m² x 1.0808 radians - 5.333 m x 10 m

Area = 138.828 m² - 53.333 m²

Area = 85.4 m²

How to simplify 3(x+2)

Answers

3(x + 2)
3(x) + 3(2)
3x + 6

Solve. -1/8c=2
a. 4
b. –16
c. –4
d. 16

Answers

$(-1)/(8c) =2$
This requires that c ≠ 0 , meaning c≠0
$(-1)/(8c) =2$
Multiply by x to eliminate var in denominator
$( \not c*(-1))/( 8 \not c) =c*2$
$(-1)/(8) =c*2$
Common denominator is 8
$(\not 8(-1))/(\not 8) =8c*2$
$-1=8c*2$
$-1=16c$
$x=-16$
The answer is: b. -16

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.” What is the inverse of the original conditional statement?

A. If a figure is a polygon, then the sum of the exterior angles is 360°.

B. If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.

C. If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.

D. If a figure is not a polygon, then the sum of the exterior angles is not 360°.

Answers

Answer:

The correct option is D.

Step-by-step explanation:

Converse statement : If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.

Now, to form a converse statement, the conclusion becomes the hypothesis and the hypothesis becomes the conclusion.

So, to form the original statement of the given converse statement : Hypothesis will become conclusion and the conclusion becomes our hypothesis.

⇒ Original Statement : The figure is a polygon if the sum of the exterior angles of a figure is 360°.

Now to form the inverse we need the negation of both hypothesis and the conclusion.

Hence, The inverse of the original statement is : If a figure is not a polygon, then the sum of the exterior angles is not 360°.

Therefore, The correct option is D.

The answer is D because the statement is saying it's not a polygon if the sum of the exterior angles is not 360 which is the opposite of the statement

Please hurry!
The figures in each pair are similar. Find the missing length.

Answers

Answer:y=3 1/8

Step-by-step explanation:

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