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2 years ago

Refer to the figure. Barton Road and Olive Tree Lane

Mathematics

1 answer:

Fantom [35]2 years ago

3 0

Angles at right-angle add up to 90 degrees

The measure of acute angle Tryon Street forms with Barton Road is 33 degrees

The angle is given as:

$\mathbf{A = 57^o}$ ---- Angle formed by Tryon Street with Olive Tree Lane.

The measure of the acute angle formed by Tryon Street with Barton Road (B) is calculated using:

$\mathbf{A + B = 90}$ ---- angle at right-angle

Make B the subject

$\mathbf{B = 90 - A}$

Substitute 57 for A

$\mathbf{B = 90 - 57}$

$\mathbf{B = 33}$

Hence, the measure of acute angle is 33 degrees

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

5 0

3 years ago

(13 less than a) How would this be solved in algebraic expression

Delicious77 [7]

Answer:

a - 13

Step-by-step explanation:

a- 13 because you are taking 13 away from a

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3 years ago

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Are these all correct there part 1, 2,3,and 4

kipiarov [429]

Answer:

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Step-by-step explanation:

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2 years ago

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Ghella [55]

Can you please attach the photo?

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3 years ago

Y=-3x + 10 y = -2x + 6 Substitution method

Nutka1998 [239]

Answer:

x=4 and y=−2

Step-by-step explanation:

y=−3x+10;y=−2x+6

Step: Solve y=−3x+10for y:

Step: Substitute−3x+10foryiny=−2x+6:

y=−2x+6

−3x+10=−2x+6

−3x+10+2x=−2x+6+2x(Add 2x to both sides)

−x+10=6

−x+10+−10=6+−10(Add -10 to both sides)

−x=−4

-x/-1 = -4/-1 (Divide both sides by -1)

x=4

Step: Substitute4forxiny=−3x+10:

y=−3x+10

y=(−3)(4)+10

y=−2(Simplify both sides of the equation)

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2 years ago

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