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babunello [35]
3 years ago
12

Quadrilateral ABCD ​ is inscribed in a circle.

Mathematics
2 answers:
jeka943 years ago
7 0
2(4x+5)+2(x+15)=360
8x+10+2x+30=360
10x=320
x=32

∠A=4×32+5=133º
Anastaziya [24]3 years ago
5 0

Answer:

133

Step-by-step explanation:

Given is a cyclic quadrilateral ABCD.

We know that in a cyclic quadrilateral, opposite angles are supplementary.

A+C =180

Given that A = 4x+5 and C = x+15

Add these and equate to 180

4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133

Verify:

When x= 32, Angle C = 47

A+C = 133+47 = 180

Hence right answer

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Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall is 60 feet is 0.25 √6
aleksandrvk [35]

Answer:-1)The three sets of approximation of time will be

Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)

≈35.41s  (to the nearest hundredth)

≈35.5 seconds(to the nearest tenth)

2)Time by the ball to hit the ground =35.5 seconds

Step-by-step explanation:

Time taken to fall tennis ball from height of 60 feet =  0.25 √60 s

So,time taken to fall tennis ball from height of 1 foot =0.25√60 divided by 60=\frac{0.25\sqrt{60} }{60}s

We know that 1 m = 0.3048 foot

⇒60 m =60×0.3048=18.288 feet

therefore, Time taken to fall tennis ball from height of 60 m = 18.288 ×time taken to fall tennis ball from height of 1 foot=\frac{0.25\sqrt{60} }{60}\cdot18.288=35.41014\ s

∴Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)

≈35.41s  (to the nearest hundredth)

≈35.5 seconds(to the nearest tenth)

7 0
4 years ago
A spherical tank has a radius of 6 yards. It is filled with a liquid the cost $7.15 per cubic yard.
mote1985 [20]
We have two questions, but we need to find the volume of the spherical tank first.
So the formula we will use to find the volume is:
(4/3)πr³=V
Let's fill in the information we have and solve. We will be using 3.14 for pi.
(4/3)(3.14)6³
(4/3)(3.14)(216)
4.1867×216
I'll be using the repeating decimal for 4.1867, I rounded to 7, but there is a repeating 6.
904.32
So the volume is 904.32 yards³ (or 904.78 if using the full pi)
We have to multiply the volume by 7.15.
904.32×7.15
6,465.89
It will cost $6,465.89 to fill the tank with the liquid.
3 0
3 years ago
Read 2 more answers
Write a decimal subtraction problem that requires regrouping to solve. then solve the problem
Svetach [21]
For example, think about 8.4 - 2.9.

You have to regroup because you can't subract 4 - 9.
4 turns into a 14 since you borrow from the left number, 8.
8 turns into a 7 after that.
Now, you have to subtract 14 - 9 and 7 - 2. You're answer is 5.5.
You can check your work by doing inverse opperations:
By adding:
5.5 + 2.9 = 8.4
Or by subracting 8.4 - 5.5 = 2.9

Hope this helped you! If you need a better explaination or another example, I will be happy to help you! :)
5 0
4 years ago
1.2, 3, 7.5, 18.75, ...
Svetradugi [14.3K]

Answer:

1.2(2.5)x - 1

Step-by-step explanation:

3 0
3 years ago
Write your answers as mixed numbers.
max2010maxim [7]
19/2=9 1/2

9 1/2 bottles
7 0
3 years ago
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