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Lostsunrise [7]
3 years ago
13

Write 26% as a decimal.

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0
Move the decimal point 2 to the left

Answer is .26
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What is 302.135 rounded to the nearest tenth?<br> A. 300<br> B. 302.1<br> C. 302.14<br> D. 302.2
miss Akunina [59]
The answer is B because numbers 0-4 round down and numbers 5-9 round up
8 0
3 years ago
25 POINTS AVAILABLE
myrzilka [38]

Answer:

\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

1. We have the equation:

(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2

<h2 />

2. We have the center (-4, 3) and the radius r = 6. Substitute:

(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

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

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

7 0
3 years ago
Triangle A'B'C' is the image of triangle ABC under a rotation about point Q.<br><br>​
yan [13]

9514 1404 393

Answer:

  True; about 120° CCW rotation about Q

Step-by-step explanation:

Triangle A'B'C' appears to be congruent to triangle ABC and about the same distance from point Q. The angle of rotation from ABC to A'B'C' appears to be about 120° counterclockwise when measured using a geometry program.

Triangle A'B'C' is the image of triangle ABC under rotation about 120° CCW about point Q.

_____

<em>Additional comment</em>

If choices of rotation angle are ±135° or ±165°, the best choice would be ...

  135°

3 0
2 years ago
Two spherical shells have their mass uniformly distrubuted over the spherical surface. One of the shells has a diameter of 2 met
ivann1987 [24]
The moment of inertia of a spherical shell is I = mr²

If two spheres have the same moment of inertia, then
I₁ = I₂
m₁(r₁)² = m₂(r₂)²

Solve for the second mass:
m₂ = m₁ (r₁/r₂)²

Given m₁ = 1 kg, r₁ = 2 m, r₂ = 1m,
m₂ = (1 kg) (2 m / 1 m)² = 4 kg

7 0
3 years ago
If (1/4) of (4/3) is subtracted from 2, what is the resulting value?
Bad White [126]
2-\dfrac{1}{4}\cdot\dfrac{4}{3}=\\&#10;2-\dfrac{1}{3}=\\&#10;\dfrac{6}{3}-\dfrac{1}{3}=\\&#10;\dfrac{5}{3}
7 0
3 years ago
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