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lina2011 [118]
2 years ago
12

Henry wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If lamin

ating costs $4 per square foot, what is the total cost to laminate the tabletop? A trapezoid with a height of 3 feet and bases of 6 feet and 10 feet is shown. $24 $72 $84 $96

Mathematics
2 answers:
Wewaii [24]2 years ago
8 0
$96 

Area
(6+10)/2 x 3
=24 squared feet 

24 x $4 = $96

Brilliant_brown [7]2 years ago
7 0
First we have to find the area of the trapezoid. 

Let's separate the trapezoid into 3 shapes. Two triangles, and 1 rectangle.
(I included an image of an isosceles trapezoid for reference)

First let's find the area of the triangles. 
We'll use this equation.
a = area
b = base
h = height
a = b · h · 0.5
a = b · 3 · 0.5

We need to find the base of the triangle. 
To do this, we'll subtract 6 from 10, which equals 4. 4/2= 2 which is the base of the left and right triangle. Let me know if you're confused by that!!

a = 2 · 3 · 0.5
a = 6 · 0.5
a = 3
The area of both triangles is 3.

Now we need to find the area of the rectangle. 
We'll use this equation.
a = b · h
a = 6 · 3
a = 18

So the rectangle's area is 18, and both triangle's area is 3.
18 + 3 + 3 = 24

Now we need to find the cost. 
24 · 4 = 96

The answer is $96. 

Hope this helps! :)

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PLZZZ HELP ASAP solve the quadratic expression. show your work 4x^2=100
zalisa [80]
4x^2 = 100
x^2 = 25
x = + or - 5
x = 5  or  x = -5

Hope this helps.
5 0
3 years ago
Please help! Thank you
Vanyuwa [196]

Answer:

x = 82°

y = 59°

z = 39°

Step-by-step explanation:

∠x = 1/2(134° + 30°) = 82°

∠z = 180° - 59° - 82° = 39°

arc DF = 2(39°) = 78°

arc DB + arc DF = 134° + 78° = 212°

draw a diameter down from point B to the opposite side of the circle, call that point P:

arc BDP = 180°

(arc BDF) 212° - 180° = 32° (arc PF)

∠PBG = 1/2(32°) = 16°

∠DEB = 1/2(134°) = 67°

∠DBE = 180° - 59° - 67° = 54°

(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°

y = 90°- 31° = 59°

5 0
2 years ago
A quantity b varies jointly with c and d and inversely with eWhen b is 18, c is 4, d is 9, and e is 6What is the constant of var
777dan777 [17]

Answer:

constant of variation = 3

Step-by-step explanation:

we know that b varies jointly with c and d

so:

b∝c∝d

and b varies inversely with e, so

b∝\frac{1}{e}

and i will call the constant of variation k, this way we can make an equation for b in the following form:

b=k\frac{cd}{e}

this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)

we know that when b is 18, c is 4, d is 9, and e is 6:

b=18\\c=4\\d=9\\e=6

substituting this in our equation for b:

b=k\frac{cd}{e}\\ 18=k\frac{(4)(9)}{6}

and we solve operations and clear for the constant of variation k:

18=k\frac{36}{6}\\ 18=6k\\\frac{18}{6}=k\\ 3=k

the constant of variation is 3.

4 0
3 years ago
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2 years ago
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