Answer:
x = 8 cm
Step-by-step explanation:
The first step in solving this problem is to determine which trig function applies. The diagram shows that this triangle is a right triangle, that side x is opposite the 25-degree angle, and that the hypotenuse has a length of 18 cm.
The sine function of an angle Ф is defined as the ratio of the opposite side to the hypotenuse. In this case, sin Ф (or sin 25 degrees) equals x/(18 cm).
We need to determine the value of x. Adapt the above equation to this particular situation: sin 25 degrees = x/(18 cm).
To solve for x, multiply both sides of the most recent equation, above, by (18 cm). The following results: (18 cm)(sin 25 degrees) = x.
Next, use a calculator to find the value of sin 25 degrees: It is 0.4226.
Then the desired value of x is (18 cm)(0.4226), or x = 7.61 cm. This should be rounded off to x = 8 cm to reflect the level of accuracy of the given 18 cm.
<span>(a+7) * (a-4)
a^2 - 4a + 7a - 28
a^2 + 3a - 28</span>
Answer:
112.03sq. units
Step-by-step explanation:
The area of a sector = theta/360 * πr²
The area of a sector = 76/360 * 3.14 * 13²
The area of a sector = 76/360 * 530.66
The area of a sector = 40,330.16/360
The area of a sector = 112.03sq. units
This gives the area of the sector
Answer: x = 32
Step-by-step explanation:
x/8 - 5 = -1
Add 5 both sides : x/8 = 4
Multiply both sides by four: x=4 times 8
Answer:
Step-by-step explanation:
Given two upward facing parabolas with equations

The two intersect at


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x=
area enclosed by them is given by
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