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Fed [463]
3 years ago
15

Venessa has scored 45 32 and 37 on her three math quizez she will take one more quiz and she wants a quiz average of at least 40

what is the minnimum score vennesa needs to earn on her fourth quiz
Mathematics
1 answer:
madreJ [45]3 years ago
6 0

\frac{45 + 32 + 37 + x}{4}  = 40 \\ x = 46
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Attachment down below
Afina-wow [57]

Answer:

5/19

Step-by-step explanation:

The first one being a man is 10/20, or 1/2, odds. The second being a woman is 10/19 odds. Multiply these together to get 10/38, which is equal to 5/19.

4 0
3 years ago
A runner runs 8 miles in 92 minutes. What is the runners unit rate?
KiRa [710]

For this case, what we must do is calculate the speed of the runner.

We have then that the speed is given by:

v =\frac{d}{t}

Where,

d: distance

t: time

Substituting values we have:

v = \frac{8}{92}

V = 0.09 \frac{miles}{minutes}

Answer:

the runners unit rate is:

V = 0.09 \frac{miles}{minutes}

5 0
3 years ago
Read 2 more answers
Jonah drew two squares with the same dimensions. He then added 2 inches to the length of one square to make it a rectangle. He a
nydimaria [60]

Answer:

Perimeter of rectangle 1=4x+4

Perimeter of rectangle 2=4x+4

Step-by-step explanation:

Two squares with the same dimension

Square 1: let length=x

Square 2: let length=x

Since they have same dimensions

He added two inches to the length of square 1 to make it a rectangle

Rectangle 1: width=x, length=x+2

Perimeter=2(l+w)

=2{(x+2)+x}

=2(x+2+x)

=2(2x+2)

=4x+4

He added two inches to the width of square 2 to make it a rectangle

Rectangle 2: length=x, width=x+2

Perimeter=2(l+w)

=2{(x+(x+2)}

=2(x+x+2)

=2(2x+2)

=4x+4

The two rectangles have equal perimeter

3 0
3 years ago
Find the definite integral from 0 to 1/16 of arcsin(8x)/sqrt(1-64x^2)dx
kolezko [41]
\displaystyle\int_0^{1/16}\frac{\arcsin8x}{\sqrt{1-64x^2}}\,\mathrm dx

First let y=8x, so that \mathrm dx=\dfrac{\mathrm dy}8 to write the integral as

\displaystyle\frac18\int_0^{1/2}\frac{\arcsin y}{\sqrt{1-y^2}}\,\mathrm dy

Now recall that (\arcsin y)'=\dfrac1{\sqrt{1-y^2}}, so substituting z=\arcsin y should do the trick. The integral then becomes

\displaystyle\frac18\int_0^{\pi/6}z\,\mathrm dz=\frac1{16}z^2\bigg|_{z=0}^{z=\pi/6}=\frac{\pi^2}{576}
8 0
3 years ago
The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime
Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

<u><em>The complete question is</em></u>

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

so

\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

so

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

z=\frac{2}{3}

so

\frac{2}{3}=\frac{CD}{GH}}

we have

GH=6\ cm

substitute

\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

so

AB=3DC

DC=CD=4\ cm

substitute

AB=3(4)=12\ cm

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

so

BC=AD

we have

AD=8\ cm

therefore

BC=8\ cm

step 4

Find the perimeter of trapezoid ABCD

P=AB+BC+CD+AD

substitute the values

P=12+8+4+8=32\ cm

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

so

z=\frac{x}{y}

we have

z=\frac{2}{3}

x=32\ cm

substitute

\frac{2}{3}=\frac{32}{y}

y=32(3)/2=48\ cm

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0
3 years ago
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