The formula of an area of a triangle:
b - base
h - height
We have b = 8x and h = 7x. Substitute:
<h3>Answer: 28x²</h3>
Answer: Choice C
7 divided by cosec 50 degrees
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Explanation:
Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)
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Let the horizontal leg be x
This leg is opposite the angle 50 degrees. The hypotenuse is 7
Opposite = x
Hypotenuse = 7
We'll either use the sine rule or the cosecant (csc) rule
sine = opposite/hypotenuse
cosecant = hypotenuse/opposite
Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule
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cosecant = hypotenuse/opposite
csc(angle) = hypotenuse/opposite
csc(50) = 7/x
x*csc(50) = 7
x = 7/csc(50)
This is why the answer is choice C
Answer:
78 ft³
Step-by-step explanation:
<u />
Volume of a rectangular prism = length × width × height
<u />
<u>Toy Box</u>
- length = 5 ft
- width = 3 ft
- height = 2ft
⇒ volume = 5 × 3 × 2 = 30 ft³
<u>Book Box</u>
- length = 6 ft
- width = 4 ft
- height = 2 ft
⇒ volume = 6 × 4 × 2 = 48 ft³
Total combined volume = 30 + 48 = 78 ft³
Answer:
This how you get x. First the way to find the answer is to first put 5x by itself by canceling it out and putting it on the other side of the = which will be
5x-(x-18)=
-5x -5
Which then gets you this
-(x-18)=-5x
After that its
x-18=-5x
once you have this subtract x
x-18=-5x
-x -x
-18=-6x
Then it leaves you the easy part of just dividing
-18/-6x=-6x/-6x
After dividing you get x to be 3
x=3
Once you have x=3 input that number into your equation and you get the answer.
Hope this helps
