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3 years ago

Label the figure 20, 24, 114, 702

Mathematics

1 answer:

Veronika [31]3 years ago

8 0

9514 1404 393

Answer:

Left: area: 702 square feet; perimeter: 114 feet

Right: area: 20 square inches; perimeter: 24 inches

Step-by-step explanation:

Left Figure

The unmarked horizontal edge of the figure is 30 ft -24 ft = 6 ft long. The area of the figure can be figured as the difference between the 27 ft by 30 ft enclosing rectangle, and the 18 ft by 6 ft "notch" taken from the upper right corner of that.

area = (27 ft)(30 ft) -(18 ft)(6 ft) = 810 ft² -108 ft² = 702 ft²

The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×27 ft; the sum of horizontal side lengths is 2×30 ft, so the perimeter is ...

54 ft +60 ft = 114 ft . . . perimeter

Right Figure

The unmarked horizontal segment at the top of the figure is 7 in -3 in -2 in = 2 inches long. This means the area can be divided into two rectangles: the bottom one 2 in by 7 in, and the one sticking up from that 3 in by 2 in. The total area of the figure will be ...

(2 in)(7 in) +(3 in)(2 in) = 14 in² +6 in² = 20 in² . . . area

The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×(2 in+3 in), and the sum of horizontal side lengths is 2×7 in. Then the perimeter is ...

2×(5 in) +2×(7 in) = 10 in +14 in = 24 in . . . perimeter

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Solve for n: 12n + 3 – 3n = 30 n = ?

hoa [83]

Answer:

n=3

Step-by-step explanation:

12n-3n=30-3

9n=27

n=27/9

n=3

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3 years ago

Please help me... thank you

DanielleElmas [232]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)

For lines to be parallel, they have to have the SAME slope.

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

9.) First find the slope of line PQ. Use the slope formula and plug in the two points.

P = (4, 1) (x₁ , y₁)

Q = (8, 4) (x₂ , y₂)

$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{4-1}{8-4}$

$m=\frac{3}{4}$

Line RS is parallel to line PQ, so they have the same slope of 3/4

$y=\frac{3}{4}x+b$

To find "b", plug in the point R = (3, -2) into the equation

$y=\frac{3}{4}x+b$

$-2=\frac{3}{4}(3)+b$

$-2=\frac{9}{4}+b$ Subtract 9/4 on both sides

$-2-\frac{9}{4}=b$ Make the denominators the same

$-\frac{8}{4} -\frac{9}{4}=b$

$-\frac{17}{4}=b$

$y = \frac{3}{4}x- \frac{17}{4}$

10.) Find the slope of line PQ

$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{4-1}{8-4} =\frac{3}{4}$

Line RS is perpendicular to line PQ, so the slope of line RS is -4/3

y = -4/3x + b

Plug in the point R = (3, -2) into the equation to find "b"

y = -4/3x + b

-2 = -4/3(3) + b

-2 = -4 + b Add 4 on both sides

2 = b

$y = -\frac{4}{3}x+2$

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3 years ago

If a=(-1 -3 2 2 5 -1 -4 -5 -4) and b=(3 3 5 2 -5 2 -4 -1 1) find AB?

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2 years ago

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Solve the multiplication problem -5/8 times 2/3

wel

Answer:

$\frac{-5}{8}\times \frac{2}{3}=\frac{-5}{12}$ or -0.42

Step-by-step explanation:

Given:

The statement says -5/8 times 2/3

Solution:

$=\frac{-5}{8}\times \frac{2}{3}$

$=\frac{-5\times 2}{8\times 3}$

$=\frac{-10}{24}$

the numerator and denominator is divided by 2

$=\frac{-5}{12}$

Therefore, The multiplication of $\frac{-5}{8}$ and $\frac{2}{3}$ is $\frac{-5}{12}$ or -0.42

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3 years ago

56 is what percent of 80

Alik [6]

Answer:

70%

Step-by-step explanation:

Therefore, we can conclude that the required percentage is 70% that is 70% of 80 is 56.

Hopes This Helps :)

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3 years ago