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3 years ago

Find the measure for ∠LQR.

Mathematics

1 answer:

Pepsi [2]3 years ago

7 0

-10b--3b= 7b and then 113-71=42 and 42 divide it by 7b which is gonna be b=6

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A dance school has 63 ballet dancers a 42% of the total number of dancers in the score ballet dancers what is the total number o

melamori03 [73]

42% of what is 63

0.42x = 63
x = 63/0.42
x = 150

There are 150 dancers in the school

3 0

4 years ago

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

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

step 4

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

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

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

Which explains why the sequence 81, 3, 1/9... is arithmetic or geometric?

Eddi Din [679]

The sequence is geometric because it decreases by a factor of 1/27

7 0

3 years ago

Solve the proportion for the variable given. 4/6 = 9/x

Alexeev081 [22]

Answer: 6
Multiply 9 on both sides since the operation is division .

4/6=9/x
/9. /9
6=x

4 0

3 years ago

Y is inversely proportional to the square of x.

Mkey [24]

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3.5, y = 8.

=> (3.5)²(8) = k, k = 98.

When y = 8/9,

we have x²(8/9) = (98).

=> x² = 110.25

=> x = 10.5 or x = -10.5.

Since we want the negative value,

the answer is x = -10.5.

4 0

3 years ago