MATHEMATICS HIGH SCHOOL

Suppose that an individual has a body fat percentage of 15.6% and weighs 156 pounds. How many pounds of his weight ismade up of fat? Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

Answer:

Percent or percentage or

means "per 100" or "out of 100". Therefore

12.3

100

So 12.3% of 129 pounds is:

12.3

100

⋅

129

1586.7

100

15.867

hops this help ✨

Related Questions

A high school student volunteers to present a report to the administration about the types of lunches students prefer. He surveys members of his class and records their choices. What type of sampling did the student use? systematic random sampling voluntary sampling convenience sampling stratified sampling
Find the distance between A and B
Which is the closest approximation to the area of the circle? Use 3.14 or 22/7 to approximate π.
Can i please have help please?? Is 32,120 equal to 3.212×10 to the 4 power?
If a population roughly doubles in the course of 22 years, its growth rate would be close toC) 2.0A) 1.5D) 3.2B) 1.2

Find the exact value of cos(135) and sin(135).

Answers

To find the exact value of cos(135), you need the following formula: cos(a+b) = cos a • cos b - sin a • sin b So in this case, it would be: cos (135) = cos ( 45 + 90) = cos 45 • cos 90 - sin 45 • sin 90 = √(2)/2 · 0 - √(2)/2 · 1 = 0 - (√2)/2 = - (√2)/2.

To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).

cos (135)= - (√2)/2

sin (135) = (√2)/2

Final answer:

To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.

Explanation:

The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.

For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.

For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.

Learn more about Trigonometric functions here:

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Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive :)

Answers

Constructive. To prove that there is a positive integer that equals the sum of the positive integers not exceeding it. A plain and simple example is
1.1 + 2 = 3
2.10 + 50 + 100 =160
3.6x + 8x + 2x = 16 x

Notice that the sum of the numbers is always greater than the addends. This only proves that any positive sum of any two positive addends will not compare and thus the addends not exceeding a greater value than the sum.

transform the quadratic function y=-2x^2-12x-10 into vertex form. find the vertex, x and y intercepts.

Answers

$The\ vertex\ form\ of\ y=ax^2+bx+c:y=a(x-h)^2+k\n\nwhere\ h=(-b)/(2a)\ and\ k=f(h)=(-(b^2-4ac))/(4a)\n-----------------------------\n\ny=-2x^2-12x-10\n\na=-2;\ b=-12;\ c=-10\n\nh=(-(-12))/(2(-2))=(12)/(-4)=-3\n\nk=f(-3)=-2(-3)^2-12(-3)-10=-2\cdot9+36-10=-18+26=8\n\ntherefore:y=-2(x-(-3))^2+8\to\boxed{y=-2(x+3)^2+8}\leftarrow The\ vertex\ form$

$y-intercept\to f(0)=-2(0^2)-12(0)-10=\boxed{-10}\leftarrow y-intercept$

$x-intercept\ if\ y=0\n\n-2x^2-12x-10=0\ \ \ \ \ |divide\ both\ sides\ by\ (-2)\nx^2+6x+5=0\nx^2+x+5x+5=0\nx(x+1)+5(x+1)=0\n(x+1)(x+5)=0\iff x+1=0\ or\ x+5=0\n\n\boxed{x=-1\ or\ x=-5}\leftarrow x-intercept$

y=-2x^2-12x-10
to find the x value of the vertex find the axis of symmetry which is
-b/2a
=12/2(-2)
=-3
to find the y value of the vertex sub the axis of symmetry back into the original equation.
y=-2(-3)^2-12(-3)-10
y=8
vertex=(-3,8)
to put it into vertex form use y=a(x-h)^2 +k where h and k are the x and y values of the vertex respectively.

y=-2(x--3)^2 +8
y=-2(x+3)^2+8

to find the x intercept let y=0

-2x^2-12x-10=0
x^2+6x+5=0
use quad formula and you will get
x=-5 and -1

to find the y intercept let x=0

y= -2(0)^2-12(0)-10
y=-10

1:30 to 4:30 is how many hours

Answers

the correct answer is 3 hours

Which choice is equivalent to the quotient shown here when x > 0?√50x^2 divide by √32x^2.

a.5√x/4
b.5x/4
c.√18x
d.√50x^3-32x^2

Answers

The quotient equivalent to the expression $√(50x^3) / √(32x^2)$ is (5√x)/4.

Hence option B is the right choice.

How to find the quotient of an expression?

To find the quotient of an expression, we simplify the numerators and the denominators and then cancel off the like terms.

How to solve the question?

In the question, we are asked to find the equivalent expression to the quotient given by $√(50x^3) / √(32x^2)$ .

To find the equivalentexpression, we need to simplify the given quotient as follows:

{√(50x³)}/{√(32x²)}

= {√(25.2.x².x)}/{√(16.2.x²)} [Since, 50x³ = 25.2.x².x, and 32x² = 16.2.x²]

= {√(5².2.x².x)}/{√(4².2.x²)} [Since, 25 = 5², and 16 = 4²]

= (5x.√2.√x)/(4x√2) [Since, √(ab) = √a√b, and √a² = a]

= (5√x)/4 [Cancelling the like terms √2 and x].

Thus, the equivalent expression is (5√x)/4.

Thus, the quotient equivalent to the expression $√(50x^3) / √(32x^2)$ is (5√x)/4. Hence option B is the right choice.

The question provided is incomplete. The complete question is provided in the attachment.

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$√(50x^2):√(32x^2)=\sqrt(50x^2)/(32x^2)=\sqrt{(25)/(16)}=(5)/(4)$

Please help quickly

Answers

Answer:

question 1) Add 7/4 to both sides. question 2) Divide 4 by both sides. question 3) x=15

Step-by-step explanation:

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