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Anestetic [448]
3 years ago
9

A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0

Answer:

5

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition.  Using the distance formula will give us the radius.

\sqrt{(x \text{ difference })^2+(y \text{ difference})^2

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

\sqrt{4^2+3^2}

\sqrt{16+9}

\sqrt{25}

5

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You go out to lunch with some friends. Your lunch came to $9.76. If you want to leave a 15% tip, how much will you pay in total?
zalisa [80]

Answer:

1.47

Step-by-step explanation:

9.76/10=10% = 0.976 round to 0.98

5%=0.97/2 = 0.49

add them = 1.47 tip

3 0
3 years ago
C)<br> What is 15 1/2% to a fraction
Nata [24]

Answer:

31/2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
From her window, Carmella looks up to the top of a neighboring building at an angle of 46°. Her
Vinil7 [7]

Answer:

270.3\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ADE

Find the value of h1

See the attached figure

h1=AD

tan(25\°)=\frac{h_1}{180}

Solve for h1

h_1=(180)tan(25\°)\\h_1=83.94\ ft

step 2

In the right triangle ABC

Find the value of h2

See the attached figure

h2=BC

tan(46\°)=\frac{h_2}{180}

Solve for h2

h_2=(180)tan(46\°)\\h_2=186.40\ ft

step 3

Find the height of the neighboring building

we know that

The height of the neighboring building is equal to

h=h_1+h_2

substitute the values

h=83.94+186.40=270.34\ ft

Round to the nearest tenth of a foot

h=270.3\ ft

7 0
3 years ago
I need a tutor who can answer more than 1 question.if not im sorry i have to end the session
nirvana33 [79]

Part A.

The area of a triangle is given by the product of its base and the height relative to that base.

Since these triangles have the same base b and same height h, they have the same area.

Part B.

The area of a rectangle or parallelogram is given by the product of base and height. Since these figures have the same base and height, they have the same area.

Part C.

These figures have different shapes, so we can't affirm that they have the same area.

Part D.

The height shown in the image is not the height relative to side b, therefore we can't affirm that the triangles have the same area.

4 0
1 year ago
What is the greatest whole number that rounds to 67,400? What is the least whole number?
labwork [276]

If the rounding is to the nearest ten, then the greatest one
is  67,404  and the smallest one is  67,395 .

If the rounding is to the nearest hundred, then the greatest one
is  67,449  and the smallest one is  67,950 .

3 0
3 years ago
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