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3 years ago

If the area of a trapezoid is 28 m with a height of 14 m in with one of the base being 1 m to find the length of the second face

1 answer:

4 0

The area of a trapezoid is basically the average width times the altitude, or as a formula:
Area = h ·

b 1 + b 2
2

where
b1, b2 are the lengths of each base
h is the altitude (height)
Recall that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases.

In the applet above, click on "freeze dimensions". As you drag any vertex, you will see that the trapezoid redraws itself keeping the height and bases constant. Notice how the area does not change in the displayed formula. The area depends only on the height and base lengths, so as you can see, there are many trapezoids with a given set of dimensions which all have the same area.

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If a circle has an arc with the measure of 60° and the length of the arc is 50 in, what is the

Crazy boy [7]

Answer: radius = 47.8 inches

Step-by-step explanation:

An arc is a portion of the circumference of the circle. The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 60 degrees

Length of arc = 50 inches

Therefore,

50 = 60/360 × 2 × 3.14 × r

Cross multiplying by 360, it becomes

18000 = 376.8r

r = 18000/376.8

r = 47.8 inches

8 0

3 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

Bad White [126]

Answer:

The final answers are x = 1 OR x = -3.

Step-by-step explanation:

Given the equation is x^2 -3 = -2x

Rewriting it in quadratic form as:- x^2 +2x -3 = 0.

a = 1, b = 2, c = -3.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( -2 ± √(4 -4*1*-3) ) / (2*1)

x = ( -2 ± √(4 +12) ) / (2)

x = ( -2 ± √(16) ) / (2)

x = ( -2 ± 4 ) / (2)

x = (-2+4) / (2) OR x = (-2-4) / (2)

x = 2/2 OR x = -6/2

x = 1 OR x = -3

Hence, final answers are x = 1 OR x = -3.

8 0

2 years ago

Read 2 more answers

Find the approximate perimeter of ABC plotted below.

maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}$

$AB = \sqrt{4 + 4}$

$AB = \sqrt{16}$

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}$

$BC = \sqrt{25 + 49}$

$BC = \sqrt{74}$

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

$AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}$

$AC = \sqrt{47 + 25}$

$AC = \sqrt{74}$

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0

3 years ago

Can you write a 5 sentence summary about the substitution method?

MAXImum [283]

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

6 0

3 years ago

This bar graph shows the money earned from the sale of skateboards one Saturday at four stores. What can you tell from the infor

-BARSIC- [3]

Answer:

its D <3

Step-by-step explanation:

hope this helps :)

6 0

3 years ago

Read 2 more answers