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Rama09 [41]
3 years ago
8

Will a frying pan with a circumference of 25.12 inches fit on an electric burner with a 4-inch radius?

Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

25.12 inches of circumference is equal to the radius of 3.998 inches

4 inches > 3.998 inches

Therefore it fits


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The sum of the diagonals of a rhombus is 5√2.
Alex
Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC
= \frac{1}{2} BD (AO + OC)
\frac{1}{2} BD \times AC

So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}
BD \times AC = 8
Now, AC + \: BD = 5 \sqrt{2}

Squaring both sides, we get
AC {}^{2} + BD {}^{2} + 2 AC.BD =50
AC {}^{2} + BD {}^{2} + 2 \times 8 = 50
AC {}^{2} + BD {}^{2} = 50 - 16
AC {}^{2} + BD {}^{2} = 34

In △AOB, we have
OA {}^{2} + OB {}^{2} =AB {}^{2}
( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}
\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}
AC {}^{2} + BD {}^{2} = 4 AB {}^{2}
34 = 4 AB {}^{2}

Square rooting both sides
\sqrt{34} = 2 AB
Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units.

Hope it helps!

7 0
3 years ago
Please help i am super confused on what to do :)
Ludmilka [50]

Answer:

About 9.1 yards tall.

Step-by-step explanation:

So, we can draw the right triangle shown below:

We want to find h.

Since we know the angle and the side adjacent to the angle and we wan to find the opposite side, we will use the tangent ratio:

\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}

So:

\displaystyle \tan(20)=\frac{h}{25}

Therefore:

\displaystyle h=25\tan(20)

Use a calculator. Ensure your calculator is in the correct mode (degrees mode):

h\approx 9.1\text{ yards}

The goal post is around 9.1 yards tall.

7 0
3 years ago
Which ordered pair represents a point on a line y = 2x +1. a. 0,3 b. 1,2 c. 2,1 d. -1,-1.
Drupady [299]
D. -1,-1 because If you were to place that on a graph you would get d. for your answer and you can also do it on a TI-83 plus calculator
4 0
3 years ago
Rafael goes to a football game that starts at a quarter to 4. The game is 2 hours and 30 minutes long. What time does the game e
faltersainse [42]

First lets understand what a quarter to 4 is, a quarter to 4 is 15 minutes before the stated hour. This mean it is currently 3:45.

3:45 + 30 minutes = 4:15

4:15 + 2 hours = 6:15.

The game ends at 6:15

5 0
2 years ago
Jon rented a car a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 400 mile
Anon25 [30]
The answer is 66 miles per mile !
7 0
2 years ago
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