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KiRa [710]
3 years ago
15

The number of pepperoni slices that kim puts on a pizza varies directly as the square of the diameter of the pizza. If she puts

15 slices on a 10" diameter pizza, how many slices should she put on a 16" diameter pizza?
Mathematics
2 answers:
seropon [69]3 years ago
6 0
You can make this into a fraction, and then simplify it.

15/10, right?

15/10 = 3/2

Then compare 3/2 to the rest of the equation

3/2 = x/16

2 * 8 = 16
so
3 * 8 = x
x = 24

Kim would put x number of pizza slices on her pizza.
So she would be putting on 24 slices on her pizza.
Whitepunk [10]3 years ago
3 0
Varies directly as the square of the diameter
square means to multiply by itself or x^2
that means
k=x/y
in this case
x=15
y=10^2
k=15/10^2=15/100=3/20
so the new pizza is
k=x/16^2
k=3/20
3/20=x/16^2
evaluate 16^2
3/20=x/256
multiply both sides by 256
768/20=x
384/10=x
38.4=x
she should put about 38 slises
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PLEASE HELP! (05.01 MC)
Temka [501]

Answer:

3) Option C is correct.

3 over 3 and 61 hundredths = 6 over 7 and 22 hundredths

Step-by-step explanation:

Triangle BDE is dilated by a scale factor of 2 to obtain triangle BAC.

Dilation by a scale factor of 2 means that all the sides of triangle BAC are twice as much as the corresponding sides of triangle BDE.

And triangle BDE is similar to triangle BAC.

It also means that the corresponding angles are necessarily equal.

BD = 2

BE = 3

ED = 3.61

BA = 2 × BD = 2 × 2 = 4

BC = 2 × BE = 2 × 3 = 6

CA = 2 × ED = 2 × 3.61 = 7.22

Cos ∠D according to trigonometric relations is given as (adj/hyp)

Adj = Adjacent side = BE = 3

Hyp = hypotenuse side = ED = 3.61

Cos ∠D = (3/3.61)

Cos ∠A can also be similarly obtained from trigonometric relations as (adj/hyp)

Adj = Adjacent side = BC = 6

Hyp = hypotenuse side = CA = 7.22

Cos ∠A = (6/7.22)

Since the two angles are corresponding angles of two similar triangles,

We can easily see that

Cos ∠D = Cos ∠A

(3/3.61) = (6/7.22) = 0.8310

Which is necessarily equal to each other

Hence, the proportion that proves that Cos ∠D = Cos ∠A is 3 over 3 and 61 hundredths = 6 over 7 and 22 hundredths.

please mark me brainliest :)

7 0
3 years ago
2x + a = 2x -3 in the equation above, a is a constant l. for what value of a does the equation have no solutions?
xenn [34]
A=-3 and i think any value of 'a' makes those equation infinite solution because expression has same variable both side.

4 0
3 years ago
PLEASE HELP!!!
never [62]

Answer:

Lee has more pizza

Lee has 2.24 in^2 more than John

Step-by-step explanation:

step 1

Find the area of each slice of pizza

A=\frac{1}{8}\pi r^{2}

we have

r=16/2=8\ in ----> the radius is half the diameter

substitute

A=\frac{1}{8}\pi 8^{2}

A=8\pi\ in^{2}

step 2

Find the area of John's part (area of shaded triangle)

The measure of the central angle of each slice of pizza is equal to

360\°/8=45\°

so

the height of triangle is equal to the base

Let

x ---->the base of the shaded triangle

cos(45\°)=\frac{x}{r}

cos(45\°)=\frac{x}{8}

Remember that

cos(45\°)=\frac{\sqrt{2}}{2}

substitute

\frac{\sqrt{2}}{2}=\frac{x}{8}

solve for x

x=4\sqrt{2}\ in

Find the area of shaded triangle

A=(1/2)(4\sqrt{2})(4\sqrt{2})=16\ in^2

step 3

Find the area of Lee's part

The area of Lee's part is equal to the area of two slices of pizza minus the area of two triangles

so

2(8\pi)-2(16)=(16\pi-32)\ in^2

assume

\pi =3.14

(16(3.14)-32)=18.24\ in^2

so

Lee's part is greater than John part's

Find the difference

18.24-16=2.24\ in^2

therefore

Lee has more pizza

Lee has 2.24 in^2 more than John

6 0
3 years ago
How do I write this without exponents?
SVEN [57.7K]
It would be 4 (2)=a hope this helps not very good this

3 0
3 years ago
Given the triangle below, find the measure of angle <br> A<br> . Picture is not drawn to scale
TiliK225 [7]

Answer:

A = 62.35°

A = 62° (Appropriately)

Step-by-step explanation:

To solve for the value of angle A, we employ the COSINE FORMULA.

cos A = (b² + c² - a²) / 2bc

cos B = (a² + c² - b²) / 2ac

cos C = (a² + b² - c²) / 2ab

Where:

A,B,C are the angles of the triangle.

a,b,c are the lengths of the sides

a= 20

b= 16

c= 21

Cos A = (16² + 21² - 20²) / 2*20*16

Cos A = (256 + 441 - 400) / 640

Cos A = 297 / 640

Cos A = 0.464

A = 62.35

A = 62 Appropriately.

6 0
3 years ago
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