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maks197457 [2]
3 years ago
12

If you have a right triangle with the 2 legs having lengths 16 and 12 what is the length of the hypotenuse (longest side)?

Mathematics
1 answer:
belka [17]3 years ago
7 0

Answer:

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Step-by-step explanation:

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Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin
Elanso [62]

Answer:

The equation of circle is x^2+y^2=65.

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula the radius of circle is

r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2         .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and r=\sqrt{65} in equation (1).

(x-0)^2+(y-0)^2=(\sqrt{65})^2

x^2+y^2=65

Therefore the equation of circle is x^2+y^2=65.

5 0
4 years ago
Which list of numbers is in order from least to greatest?
laiz [17]

Answer:

its A 22%

Step-by-step explanation:

8 0
4 years ago
John owns shares in a mutual fund and shares of individual stocks in his brokerage account. The Form 1099-DIV from the mutual fu
Bond [772]

Question options:

A. He should report them directly on form 1040

B. He should report them on form 8949 and then on schedule D

C. He should report them on schedule D

D. He is not required to report them until he sells the underlying securities

Answer:

B. He should report them on form 8949 and then on schedule D

Explanation:

John has shares which have capital gains from a mutual fund and a brokerage account. In order to report his taxes, he would need to use the Schedule D(form 1040) for his mutual fund capital gains and the form 8949 for his brokerage capital gains. The brokerage capital gains is then transferred to schedule D.

7 0
3 years ago
Does Anybody know this? Find the area of the shaded sector
Sunny_sXe [5.5K]

Step-by-step explanation:

your teacher was very nice and warned you about the trap in the question.

so, really, what do we have to do ?

a full circle represents 360°.

the shaded sector is the full circle minus the white sector !

this is the same as directly calculating the shaded sector for 360-75 = 285°.

so, the area of a circle is

pi×r²

in our case

pi×20² = 400pi

the needed fraction of the whole circle is either

75/360, if we want to subtract it for the solution

or

285/360, if we want to calculate the solution directly.

both lead to the same result.

400pi×360/360 - 400pi×75/360 =

= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =

= 316.6666666...pi ≈ 316.7pi

8 0
3 years ago
The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm. What shape is created by the r
zysi [14]

Answer:

a cone with a base circumference of about 126 mm

Step-by-step explanation:

Rotating a triangle about a line results in a cone created by the rotation.  This is because the segment at the bottom forms a circle, and the point at the top stays there; the three-dimensional figure with a circular base and a point at the top is a cone.

Since we rotate the segments about a line, this makes the length of the base the radius of the circle. This means the circumference would be

C = 2πr = 2(3.14)(20) = 125.6 ≈ 126 mm

3 0
4 years ago
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