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VikaD [51]
3 years ago
8

In △DEF, DF = 17 and m∠F=32. Find DF to the nearest tenth.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0
FE=14.42
ED=9.01
angle D=58
hope this helps
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Ethan has a box of assorted tea bags. There are seven green tea bags, six peppermint tea bags, five lemon tea bags, and six plan
Likurg_2 [28]
<span>B. Randomly select and replace a tea bag 80 times. Then, observe how close to 20 times a peppermint tea bag is drawn. </span>
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3 years ago
Abag is filled with green and blue marbles. There are 49 marbles in the bag. If there are 17 more green marbles than blue marble
Daniel [21]

Answer:

32 marbles are Green Marbles and 17 Blue Marbles.

Step-by-step explanation:

49 - 17 = 32

8 0
4 years ago
Write the equation of the circle with center (3, 2) and (−6, −4) a point on the circle.
yulyashka [42]
The equation for a circle is as followed:

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

where the center of the circle is at (h,k) and the radius of the circle is r.

We are given (h,k) and need to find the radius. To do so, we can use the distance formula to find the distance from the  center to the point on the circle:

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

Plug in the two points:

d= \sqrt{(3-(-6))^2+(2-(-4))^2}

d= \sqrt{(9)^2+(6)^2}

d= \sqrt{117}

If the distance from the center to the edge of the circle is the square root of 117, then r^2 = 117.

The answer is:

(x-3)^2+(y-2)^2=117
6 0
3 years ago
For each point on the unit circle, select the angle that corresponds to it.
IgorC [24]

Answer:

A) 3π/4

B) 9π/7

C) 11π/6

Step-by-step explanation:

In the picture attached, the points are shown

Point A is between π/2 radians (90°) and π radians (180°). The only possible option is 3π/4

Point B is between π radians (180°) and 3π/2 radians (270°). The only possible option is 9π/7

Point C is between 3π/2 radians (270°) and 2π radians (360°). The only possible option is 11π/6

7 0
3 years ago
What is the period, in seconds, of a simple pendulum of length 2 meters? Use the gravitational constant g = 9.8 m/s^2 and round
kirill [66]

Answer:

The period, in seconds to two decimal places is, 2.84 sec

Step-by-step explanation:

Using formula:

T = 2 \pi \sqrt{\frac{l}{g}}             ......[1]

where

T represents the Time period in second

l represents the length of the pendulum/

As per the statement:

Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and \pi = 3.14

Substitute the given values we have;

T = 2\cdot 3.14 \cdot \sqrt{\frac{2}{9.8}}

⇒T = 6.28 \cdot \sqrt{\frac{1}{4.9}}=6.28 \cdot \frac{1}{2.21359436212}= \frac{6.28}{2.21359436212} = 2.83701481512

Therefore, the period, in seconds to two decimal places is, 2.84 sec

8 0
3 years ago
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