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3 years ago

100 points, will give brainliest!

Mathematics

1 answer:

Elina [12.6K]3 years ago

8 0

Hope you are doing well

Answer:

x=17

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A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of t

antiseptic1488 [7]

Answer: Circumference of cake board is 35π cm.

Step-by-step explanation:

Since we have given that

Diameter of a round cake = 30 cm

Diameter of a cake board is 5 cm longer than the diameter of a round cake.

So, Diameter of a cake board = 30+5=35 cm

So, radius of a cake board will be

$r=\frac{35}{2}$

As we know the formula for " Circumference of Circle ":

So, According to question, we get,

$C=2\pi r\\\\C=2\pi\times \frac{35}{2}\\\\C=35\pi$

Hence, Circumference of cake board is 35π cm.

3 0

3 years ago

SOMEONE PLEASEEEE HELPPPP

Verdich [7]

$adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13}$

7 0

3 years ago

If you add the lengths of the focal radii of an ellipse, what other value will you produce?

ss7ja [257]

Equation of an ellipse

→having center (0,0) , vertex ( $(\pm a ,0)$ and covertex $(\pm b ,0)$ and focus $(\pm c ,0)$ is given by:

$\frac{x^2}{a^2} + \frac{y^2}{b^2}=1$

As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.

Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:

Distance from (a,0) to (c,0) is = a-c = $F_{1}$

Distance from (-a,0) to (c,0) is = a + c = $F_{2}$

$F_{1} + F_{2} =$ a -c + a +c

= a + a

= 2 a →(Option A )

8 0

3 years ago

Read 2 more answers

A pizza is 14 inches in diameter. Each square inch of pizza has 14.04 calories. If each slice contains about 270 calories, how m

mr Goodwill [35]

Answer:

8 slices

Step-by-step explanation:

To answer this question, we first need to know the area covered by the pizza.

Since it is circular in shape, we use the formula for the area of a circle.

Mathematically area of a circle = pi * r^2

Here, we were given the diameter but we know that D = 2r or r = D/2. This shows that the radius would be 14/2 = 7 inches

Now the area of the pizza is 22/7 * 7 * 7 = 22 * 7 = 154 square inch

Now we proceed to calculate the amount in calories present in the pizza;

That would be 154 * 14.04 = 2162.16 calories

one slice has 270 calories; The number of slices in 2162.16 calories would be 2162.16/270 = 8.008 which is approximately 8 slices

5 0

3 years ago

Twice a number decreased by eight is sixteen.

Firlakuza [10]

The number is 12

16 plus 8 = 24/ 2= 12

7 0

3 years ago

Read 2 more answers