All categories

2 years ago

What is the total area of the figure below?

Mathematics

1 answer:

Gnesinka [82]2 years ago

3 0

Answer:

141 square inches

Step-by-step explanation:

Area of a triangle: Base*Height*1/2

Area of a trapezoid: Height * (Base1 +Base2) / 2

Triangle Base = 6

Triangle Height = 8

6*8*1/2 = 24 square inches

Trapezoid Height = 9

Trapezoid Base1 = 16

Trapezoid Base2 = 10

9*(16+10) / 2 = 117 square inches

Total = Area of triangle + Area of trapezoid

Total = 24 + 117 = 141 square inches

You might be interested in

Write an expression that represents the value in cents of n nickels

erma4kov [3.2K]

An expression does not have an equal sign.
Since the value of a nickel is 5 cents and you want to find out the value of n nickels (which means if you had any number of nickels) the expression would be
.05n

8 0

3 years ago

Read 2 more answers

Candice is taking a group nature hike in a park. There is a

slavikrds [6]

Answer:

500 miles

Step-by-step explanation:

81-11 is 70. 70 divided by .14 is 500 so that's 500 miles she can bike.

8 0

2 years ago

Read 2 more answers

Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)

Gekata [30.6K]

Answer:

The pentagon MNPQR has a perimeter of 22 units.

Step-by-step explanation:

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

$p = MN + NP + PQ + QR + RM$ (1)

$p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}$ (1b)

If we know that $M(x,y) = (2,4)$ , $N(x,y) = (5,8)$ , $P(x,y) = (8,4)$ , $Q(x,y) = (8,1)$ and $R(x,y) = (2,1)$ , then the perimeter of the pentagon MNPQR is:

$p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}$ $p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}$

$p = 22$

The pentagon MNPQR has a perimeter of 22 units.

4 0

2 years ago

The roof of a house seen from the front is an isosceles triangle \Delta ABC ΔABC with base 14.5 m and sides of length 8.5 m. Fin

melamori03 [73]

Answer:

4.4 m

Step-by-step explanation:

Draw the height of the triangle (perpendicular line from point A to line BC). Since ABC is an isosceles triangle, the height is a perpendicular bisector, so it splits the triangle into two congruent right triangles.

Use Pythagorean theorem to find the height.

c² = a² + b²

(8.5 m)² = (14.5/2 m)² + h²

h ≈ 4.4 m

7 0

2 years ago

Write the correct answer:

natta225 [31]

Answer:

-1 for question 1, -11 for question 2, 7 for question 3

Step-by-step explanation:

8 0

2 years ago