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bulgar [2K]
3 years ago
11

The radius of circle L is 22 cm. What is the length of its diameter? 11 cm 22 cm 44 cm 88 cm Circle with center at point L. Poin

ts G, H, I, J and K are on the circle. Line segments GK, GL, LJ, GLJ, IL, HL, LK and HLK are drawn.
Mathematics
1 answer:
zhuklara [117]3 years ago
8 0
The diameter is twice the radius, so is 44 cm.
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A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x
vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

A=LW

we have

L=18\ m\\W=12\ m

substitute

A=18(12)=216\ m^2

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

L=(18+2x)\ m\\W=(12+2x)\ m

substitute

A=(18+2x)(12+2x)

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

so

A=(18+2x)(12+2x)-216

step 4

Find the value of x if the area of the walkway equal the area of the pool

so

(18+2x)(12+2x)-216=216

Solve for x

(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0
3 years ago
What is the probability of being born in May or on the 30th of any month?
alexgriva [62]

Answer: 41/365

Step-by-step explanation:

The probability of being born in May is 31/365 (May has 31 days and there are 365 days in a year).

The probability of being born on the 30th of the month is 11/365 (11 months have at least 30 days). However, since we have included May 30 in our MAy probability, we need to use the probability of 10/365.

Add the two probabilities together, and the probability of being born in May or on the 30th is 31/365 + 10/365 = 41/365.

6 0
3 years ago
What is f?<br> To 2 decimal places
Goryan [66]
Tan 32 = f/18
f = 18 × tan 32
= 11.25
= 11 ( to 2 sf)

Hope it helped
8 0
3 years ago
Read 2 more answers
Please please help me please help
sergiy2304 [10]
A. 1 1/2
B. 3 5/7
C. 15 1/2
D. 6
E. 2/11
5 0
3 years ago
Read 2 more answers
I need solve each system by substitution 4x+2y=7;y=5x
Zarrin [17]
To solve the system if equations substitute the given values and simplify:

4x+2y=7
y=5x


To start off we are given what h equals already so we do not have to solve for it. This means we can just plug in its values into the first equation.

4x+2(5x)=7
Solve for x
4x+10x=7
14x=7
x=7/14
x=1/2

Now that we have an x value substitute back into the second equation to find the y value and be able to create a coordinate point.

y=5x
y=5(1/2)
y=5/2
y=2.5

So your answer would be
(1/2,5/2) or (0.5,2.5)

I hope this helps!
6 0
4 years ago
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