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sveta [45]
3 years ago
6

a trapezoid has base lengths of 6 and 15 centimeters with an area of 136.5 square centimeters. What is the height of the trapezo

id?
Mathematics
1 answer:
MrRa [10]3 years ago
3 0
•*Ok first let me show you the formula for the Area of the trapezoid.
A=a+b/2 h.(I will be using the letter x for the multiplication sign)
 
*And here is the formula to find the height of a trapezoid
h=2 x A/a+b (2 times the Area over base "a" plus base "b")


*We need to plug in the numbers: h = 2 x 136.5/6+15
*Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)  
*Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5
*Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.

Hope this helps you ☺
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1 Point
Sav [38]

Answer:

50, 52, 54, 55, 56, 56, 64, 65, 68, 74, 74, 76, 77, 77, 80, 81,  90, 91, 95, 99,

Step-by-step explanation:

6 0
2 years ago
If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

8 0
2 years ago
2. Tickets to a play cost $344.50 for a group of 12 adults and 10 children. Each aduit ticket cost
Drupady [299]
Each kid ticket will cost 12.25 dollars because 18.50 times 12 equals 222 dollars. You subtract 222 from 344.50 to get the total amount for 10 kids which is 122.50 dollars. 122.50 divides by 10 is 12.50.
5 0
2 years ago
Factor out completly: 6x^2y − 3xy − 24xy^2 + 12y^2
Crank
<h3>I'll teach you how to factor 6x^2y − 3xy − 24xy^2 + 12y^2</h3>

---------------------------------------------------------------------

6x^2y − 3xy − 24xy^2 + 12y^2

Apply exponent rule:

6x^2y-3xy-24xyy+12yy

Rewrite 12 as 4*3

Rewrite -24 as 8*3

Rewrite 6 as 2*3

2*3x^2y-3xy+8*3xyy+4*3yy

Factor out common term 3y:

3y(2x^2-x-8xy+4y)

Factor 2x^2-x-8xy+4y:

3y(2x-1)(x-4y)

Your Answer Is 3y(2x-1)(x-4y)

plz mark me as brainliest if this helped :)

8 0
3 years ago
Here is a picture of a Ferris wheel. It has a diameter of 80 meters.
jenyasd209 [6]

Answer:

251.2 m

Step-by-step explanation:

Circumference = 2 x π x r

C = 2 x 3.14 x 40

C = 251.2

6 0
3 years ago
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