3 years ago

Use the distributive property to simplify the following problem: 9 (x +9)

Mathematics

2 answers:

Alexus [3.1K]3 years ago

7 0

Answer:

9x+81

Explanation:

9(x+9)

posledela3 years ago

3 0

Answer:9x+81

Step-by-step explanation:

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The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.

natima [27]

L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48

Hope this helps:)

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3 years ago

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The diagonal of a rectangle is of length a. It splits each corner forming two angles with a ratio of 1:2. The area of the rectan

HACTEHA [7]

Answer:

Step-by-step explanation:

Given

Length of diagonal is a

Diagonal divides the angle in 1:2

such that $\theta +2\theta =90$ (because angle between two sides is 90)

$3\theta =90$

$\theta =30^{\circ}$

width of rectangle is $b=a\sin \theta =\frac{a}{2}$

Length of rectangle is $L=a\cos 30=\frac{\sqrt{3}}{2}a$

Area of rectangle $A=L\cdot b$

$A=\frac{\sqrt{3}}{2}a\times \frac{a}{2}$

$A=\frac{\sqrt{3}}{4}a^2$

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2 years ago

Solve for x^2 +11 + 121/4 = 125/4 for x

Ratling [72]

I hope this helps you

x^2 =125/4-121/4-11

x^2=4/4-11

x^2=1-11

x^2= -10

x= i.square root of 10

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3 years ago

Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investm

Licemer1 [7]

Answer:

180

Step-by-step explanation:

add 1% to 31.50 to get 31.815

then take the total 5276.70 and divide by 31.815

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Dale wanted to put a brick border around his circular flower bed The diameter is five feet how much brick will he need for the b

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