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3 years ago

Describe how ∠PTQ and ∠QTS in the figure are related.

Mathematics

1 answer:

timurjin [86]3 years ago

8 0

Answer:

their unrelated

Step-by-step explanation:

might look similar but very different from each other

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A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *

Luda [366]

Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

4 0

2 years ago

What is 1 3/5 - 5/6? Please Help

gizmo_the_mogwai [7]

Answer:

Exact Form:

$\frac{23}{30}$

Decimal Form:

0.76

Step-by-step explanation:

<em>Hope this helped and good luck <3</em>

6 0

2 years ago

Read 2 more answers

Find center,foci, and vertices of ellipse (x+3)^2/21+(y-5)^2/25=1

sasho [114]

I don't know if we can find the foci of this ellipse, but we can find the centre and the vertices. First of all, let us state the standard equation of an ellipse.

(If there is a way to solve for the foci of this ellipse, please let me know! I am learning this stuff currently.)

$\frac{(x-x_{1})^2}{a^2}+ \frac{(y-y_{1})^2}{b^2}=1$

Where $(x_{1},y_{1})$ is the centre of the ellipse. Just by looking at your equation right away, we can tell that the centre of the ellipse is:

$(-3,5)$

Now to find the vertices, we must first remember that the vertices of an ellipse are on the major axis.

The major axis in this case is that of the y-axis. In other words,

$b^2>a^2$

So we know that b=5 from your equation given. The vertices are 5 away from the centre, so we find that the vertices of your ellipse are:

$(-3,10)$
& $(-3,0)$

I really hope this helped you! (Partially because I spent a lot of time on this lol)

Sincerely,

~Cam943, Junior Moderator

6 0

3 years ago

There is a sales tax of $20 on an item that costs $128 before tax. The sales tax on a second item is $6.75 . How much does the s

Kazeer [188]

$20/128 = 6.75/x

using cross products

20x=128*6.75

divide by 20

x =43.20

8 0

2 years ago

you send 12 photos to a company that makes personalized wall calendars the company enlarges the photos and inserts one for each

Assoli18 [71]

Answer:

15 inches

Step-by-step explanation:

We have that,

Length of the photo = 4 inches and Width of the photo = 6 inches

Also, the width of the image on the calendar = 10 inches

Let, the length on the image of the calendar = x inches.

Since, the ratio of the photo and its image will remain same, we get,

$\frac{4}{6}=\frac{10}{x}$

i.e. $x=\frac{60}{4}$

i.e. x = 15

Hence, the length of the image of the photo on the calendar is 15 inches.

3 0

2 years ago