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Rina8888 [55]
3 years ago
15

What is the approximate value of x in the diagram below

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0

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.

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erastovalidia [21]

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<u>Step-by-step explanation:</u>

u - 5 = -4(w - 1)

u - 5 = -4w + 4

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3 0
3 years ago
How do you write 43% as a decimal?​
vesna_86 [32]
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4 0
3 years ago
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Someone please help me 4(d + 6) =
zaharov [31]

Answer:

4d+24

Step-by-step explanation:

The distributive property says that 4(d+6)=4d+(4)(6)

which simplifies to 4d+24

(I hope that's what you needed, please lmk if you needed more than just simplifying.)

5 0
3 years ago
I don’t understand lol
pogonyaev

Answer:

3*r = 3

Step-by-step explanation:

\dfrac{24}{r}=3\\\\24 = r*3\\\\\dfrac{24}{3}=r\\\\6 = r6 is a solution.

3*r=3\\\r =\dfrac{3}{3}\\\\r = 1\\

6 is not a solution.

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8 0
2 years ago
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What is the the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120
dem82 [27]

Answer:

27π cm²

Step-by-step explanation:

step 1

Find the area of the complete circle

The area of the circle is equal to

A=πr²

we have

r=9 cm

substitute

A=π(9)²=81π cm²

step 2

Remember that the area of complete circle subtends a central angle of 360°

so

using proportion

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81π/360°=x/120°

x=120°*81π/360°

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5 0
3 years ago
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