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3 years ago

Which equation can be used to find 75 percent of 200?

Mathematics

2 answers:

Shtirlitz [24]3 years ago

5 0

Answer:

The first equation

Step-by-step explanation:

LUCKY_DIMON [66]3 years ago

5 0

Answer:

150

Step-by-step explanation:

75 percent *200 =

(75:100)*200 =

(75*200):100 =

15000:100 = 150

Now we have: 75 percent of 200 = 150

Question: What is 75 percent of 200?

Percentage solution with steps:

Step 1: Our output value is 200.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,200=100%

Step 4: Similarly, x=75%.

Step 5: This results in a pair of simple equations:

$200=100%(1).

x=75%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

200/x = 100% / 75%

Step 7: Again, the reciprocal of both sides gives

x/200 = 75/100

Therefore, 75% of 200 is 150

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HELP PLEASE!! 13 Points Offered

Sholpan [36]

Answer:

C: 124

Step-by-step explanation:

If you look at the angle it has to be over 90 degrees so therefore your only option is C: 124.

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3 years ago

Perform the operation (9x^2+6x-7)+(-9x-5)

asambeis [7]

Answer:

9 $x^{2}$ -3x-12

9 $x^{2}$ +6x-7-9x-5

(Group liked terms)

9 $x^{2}$ +6x-9x-7-5

( subtract the numbers ) -7-5= -12

9 $x^{2}$ +6x-9x-12

( add similar elements ) 6x-9x=-3x

9 $x^{2}$ -3x-12

Step-by-step explanation:

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2 years ago

What is the area of the shaded region in the figure below ? Leave answer in terms of pi and in simplest radical form

ser-zykov [4K]

Answer:

Step-by-step explanation:

That shaded area is called a segment. To find the area of a segment within a circle, you first have to find the area of the pizza-shaped portion (called the sector), then subtract from it the area of the triangle (the sector without the shaded area forms a triangle as you can see). This difference will be the area of the segment.

The formula for the area of a sector of a circle is:

$A_s=\frac{\theta}{360}*\pi r^2$ where our theta is the central angle of the circle (60 degrees) and r is the radius (the square root of 3).

Filling in:

$A_s=\frac{60}{360}*\pi (\sqrt{3})^2$ which simplifies a bit to

$A_s=\frac{1}{6}*\pi(3)$ which simplifies a bit further to

$A_s=\frac{1}{2}\pi$ which of course is the same as

$A_s=\frac{\pi}{2}$

Now for tricky part...the area of the triangle.

We see that the central angle is 60 degrees. We also know, by the definition of a radius of a circle, that 2 of the sides of the triangle (formed by 2 radii of the circle) measure √3. If we pull that triangle out and set it to the side to work on it with the central angle at the top, we have an equilateral triangle. This is because of the Isosceles Triangle Theorem that says that if 2 sides of a triangle are congruent then the angles opposite those sides are also congruent. If the vertex angle (the angle at the top) is 60, then by the Triangle Angle-Sum theorem,

180 - 60 = 120, AND since the 2 other angles in the triangle are congruent by the Isosceles Triangle Theorem, they have to split that 120 evenly in order to be congruent. 120 / 2 = 60. This is a 60-60-60 triangle.

If we take that extracted equilateral triangle and split it straight down the middle from the vertex angle, we get a right triangle with the vertex angle half of what it was. It was 60, now it's 30. The base angles are now 90 and 60. The hypotenuse of this right triangle is the same as the radius of the circle, and the base of this right triangle is $\frac{\sqrt{3} }{2}$ . Remember that when we split that 60-60-60 triangle down the center we split the vertex angle in half but we also split the base in half.

Using Pythagorean's Theorem we can find the height of the triangle to fill in the area formula for a triangle which is

$A=\frac{1}{2}bh$ . There are other triangle area formulas but this is the only one that gives us the correct notation of the area so it matches one of your choices.

Finding the height value using Pythagorean's Theorem:

$(\sqrt{3})^2=h^2+(\frac{\sqrt{3} }{2})^2$ which simplifies to

$3=h^2+\frac{3}{4}$ and

$3-\frac{3}{4}=h^2$ and

$\frac{12}{4} -\frac{3}{4} =h^2$ and

$\frac{9}{4} =h^2$

Taking the square root of both the 9 and the 4 (which are both perfect squares, thankfully!), we get that the height is 3/2. Now we can finally fill in the area formula for the triangle!

$A=\frac{1}{2}(\sqrt{3})(\frac{3}{2})$ which simplifies to

$A=\frac{3\sqrt{3} }{4}$

Therefore, the area in terms of pi for that little segment is

$A_{seg}=\frac{\pi}{2}-\frac{3\sqrt{3} }{4}$ , choice A.

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3 years ago

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timofeeve [1]

11g greater than 5

Step-by-step explanation:

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3 years ago

Read 2 more answers

If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo

Tems11 [23]

<em>Question:</em>

<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?</em>

Answer:

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