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1 year ago

9

A person has a body fat percent of 15.2% and weighs 185 pounds. How many poundsof his weight is made up of fat? Round your answe

r to the nearest tenth of a percent

1 answer:

puteri [66]1 year ago

3 0

We can find the 15.2% of 185 pounds by dividing the weight by 15.2% in its decimal form:

$185(15.2\%)=185(0.152)=27.7\text{pounds}$

therefore, there are 27.7 pounds of fat

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Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

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2 years ago

Evelyn says that the equation 3(x - 3) + 5 = 3x + 1 + 4

Alex787 [66]

Step 1: Simplify both sides of the equation.

3(x−3)+5=3x+1+4

(3)(x)+(3)(−3)+5=3x+1+4(Distribute)

3x+−9+5=3x+1+4

(3x)+(−9+5)=(3x)+(1+4)(Combine Like Terms)

3x+−4=3x+5

3x−4=3x+5

Step 2: Subtract 3x from both sides.

3x−4−3x=3x+5−3x

−4=5

Step 3: Add 4 to both sides.

−4+4=5+4

0=9

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3 years ago

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

tia_tia [17]

Answer:

x = 8

Step-by-step explanation:

well using the theorem we have

$\frac{6}{9}=\frac{x}{12}\\\\\frac{2}{3}=\frac{x}{12}\\\\12[\frac{2}{3}]=12[\frac{x}{12}]\\\\4\cdot 2=x\\\\x=8$

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2 years ago

"Based on the following construction, which of the following are true? choose all that apply."

umka21 [38]

From the diagram,

Angle

Bisecting an angle means dividing the angle into two equal part.

1/2 m

$\begin{gathered} \text{ } \\ \\ \end{gathered}$

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1 year ago

SOMEONE PLEASE HELP ME ASAP PLEASE!!!!

ehidna [41]

Answer:

Therefore,

$a_{21}=2$

Step-by-step explanation:

Given:

$A=\left[\begin{array}{ccc}3&6&9\\2&4&8\\\end{array}\right]$

To Find:

a₂₁ = ?

Solution:

Let,

$A=\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\\end{array}\right]$

We require ' a₂₁ ' i.e Second Row First Column Element

So on Comparing we get

∴ $a_{21}=2$

Therefore,

$a_{21}=2$

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2 years ago