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3 years ago

Need the value of X!!

Mathematics

1 answer:

vampirchik [111]3 years ago

5 0

Step-by-step explanation:

127-83=44

9x-10=44

9x=54

x=6

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A wise man once said, "500 reduced by 4 times my age is 188." What is his age?

hoa [83]

Answer:

125

Step-by-step explanation:

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3 years ago

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Geometry, multiple choice. Answer all if possible. Ty.

faltersainse [42]

12. The answer is B because the sum of any two sides of a triangle must be greater than the other side.
A. 4 → 4 + 4 is not GREATER than 8
B. 8 → 4 + 8 is greater than 8 and 8 + 8 is greater than 4
C. 12 → 4 + 8 is not GREATER than 12
D. 16 → 4 + 8 is not GREATER than 16

13. The central angle containing the green beans is 360° - (195°+98°) = 67°.
If the diameter of the circle is 12 then the circumference = πd = 12π.
$\frac{67}{360}$ × 12π≈7.013
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4 years ago

A spa charges 40 dollars for a day pass and 20 dollars extra for treatments. What is the cost of going to the spa if you get 2 t

sergij07 [2.7K]

Answer:

$80 dollars.

Step-by-step explanation:

So you get charged $40 to get in and $20 extra for any treatment.

You get 2 treatments so that is $40.

$40+$40=$80 is your answer.

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3 years ago

What is the sum of 1/7 and 2/7

Vikentia [17]

They have the same denominator so add the numerators. It equals 3/7.

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3 years ago

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The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long.

katen-ka-za [31]

Answer:

Let X represent the shorter base, and drop the heights from shorter to longer base.

Two congruent right triangles are formed, because the trapezoid is isosceles and

the heights are the same.

The base angles are then 70 degree each, as they total 140.

So the height is 7* sin 70 = 6.5778483455....

The base of each right triangle is 11 - x/2

Now the algebra gets ugly.

By pythagorean theorem:

(11 - x/2)^2 + (7sin70)^2 = 7^2

(11-x/2)^2 + 49sin70^2 = 49

(11 - x/2)^2 = 49 - 49sin70^2

(11 - x/2)^2 = 49(1 - sin70^2)

(11 - x/2)^2 = 49 cos70^2 <-- trig identity : sin^2 + cos^2 = 1 ---> cos^2 = 1 - sin^2

121 - 11x + x^2/4 = 49 cos70^2

484 - 44x + x^2 = 196 cos 70^2

x^2 - 44x + 484 - 196cos70^2 = 0

x^2 - 44x + C = 0 where C = 484 - 196cos70^2 = 461.07235

By quadratic formula:

X = 44 +OR- square-root( (-44)^2 - 4*C) / 2

= 44 +OR- square-root( 91.71)/2

The two roots are:

26.78282 AND 17.2117331

The first one is disqualified and we must reject it

because if used will make the base of the

right triangles negative. Remember this is

supposed to be the smaller base. So it

cannot be greater than 22.

SO the smaller base is 17.2117331

So 11 - x/2 = overhang = 2.39413345

Drawing the diagonal, it's length can

be found by pythagorean theorem.

square-root(17.2117331)^2 + (7sin70)^2)=18.4258472....<-- diagonal

8 0

3 years ago

Need the value of X!!​

Need the value of X!!