Suppose that an individual has a body fat percentage of 16.2% and weighs 164 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.

Step-by-step explanation:

la carretilla estaba a unos 15 metros de altura

Answer:

He was an Anti-federalist

Step-by-step explanation:

Answer:

Anti-federalist

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

Answer:

[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]

Answer:

[tex]\displaystyle \large{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Step-by-step explanation:

We are given the indefinite integral:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx}[/tex]

Important Formulas

[tex]\displaystyle \large{\int f(ax+b) \ dx = \frac{1}{a} F(ax+b) + C}\\\displaystyle \large{\int \cos(ax) \ dx = \frac{1}{a} \sin (ax) + C \ \ \tt{(a \ \ is \ \ a \ \ constant.)}}\\\displaystyle \large{\int \sin x \ dx = - \cos x + C}\\\displaystyle \large{\int [f(x) \pm g(x)] \ dx = \int f(x) \ dx \pm \int g(x) \ dx}\\\displaystyle \large{\int kf(x) \ dx = k \int f(x) \ dx \ \ (\tt{k \ \ is \ \ a \ \ constant.})}[/tex]

Therefore, from the integral, apply the properties above:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + \int 3 \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + 3 \int \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{1}{3} \sin 3x + 3\cdot -\cos x + C}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Hence, the solution is:—

[tex]\displaystyle \large \boxed{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Step-by-step explanation:

35A) arc AC = 360-(100+110+80)=

360-290 = 70°

35B) L D = ½× 70 = 35°

35C) L AEC = ½(100+70)=½×170= 85°

35D) L P = ½(100-70) = ½×30 = 15°

X = 30°

The triangle in the circle as one angle of the main triangle and it is equilateral indicated by the slashes meaning all angles are 60°. (Every triangle has a total of 180°) the next angle is made from a tangential line the forms a 90° right angle with one of the radii in the circle meaning the main triangle has 1 angle of 60°, 1 angle of 90°, and that means that angle X is 30°.

Answer:

triangle ABD is a equilateral triangle.

so each angle is 60°

<ADB=60°

<BAD=60°

again

we have

CD is perpendicular to AD[tangent on the arc is perpendicular to the radius]

:. ADC=90°

°

again

In triangle ADC

<A+<B+<C=180°[sum of a interior angle of a traingle is 180°]

60°+90°+x=180°

x=180°-150°

x=30°

is a right answer.

[tex]x = \frac{10}{\sqrt{2}}\\\\y = 5[/tex]

Answer:

- 5 + 4a

Step-by-step explanation:

- 6 + 2a + 1 + 2a

- 6 + 1 + 4a

- 5 + 4a

Answer:

m<SQP=124°

Step-by-step explanation:

Hi there!

We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)

we need to find m<SQP (given as x+72°)

exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).

that means that m<SQP=m<R+m<S (Exterior angle theorem)

substitute the known values into the equation

x+72°=90°+34° (substitution)

combine like terms on both sides

x+72°=124° (algebra)

subtract 72 from both sides

x=52° (algebra)

however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP

m<SQP=x+72°=52°+72°=124° (substitution, algebra)

Hope this helps!

Answer:

LB=7701 3

degrees

Answer:

26, 40  and 6 is not a possible triangle

Step-by-step explanation:

Answer:

x=2, y=1/2. (2, 1/2).

Step-by-step explanation:

x+2y=3

3x-2y=5

-------------

4x=8

x=8/4

x=2

2+2y=3

2y=3-2

2y=1

y=1/2

Answer: 10

Step-by-step explanation:

the 6 digit in 63,700 is 60,000 and the 6 digit in 76,000 is 6,000.

60,000 / 6,000 is 10.

Answer: 10 ten

Step by step explanation:

Answer:

300 I think

Step-by-step explanation:

V=1/3 Bh

B=10*9=90

90*10=900         1/3 of 900= 300

Answer:

the missing angle would be 17 inches. I am not exactly sure but if the leg a and leg b were calculated with those 2 numbers then the other side(known as hypotenuse) should be 17 inches

Answer:

y = 1/3x - 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

Slope m = 1/3

y-intercept b = -4

Step 2: Write Equation

Substitute variables into general form

y = 1/3x - 4

Answer:

x = C - By over A

Step-by-step explanation:

To solve for x, we need to isolate the variable.

Ax + By = C

Focusing on the left side of the equation (this is to isolate x), we can see that By is the farthest from x, and that it's adding. So we subtract from both sides. The -By would cancel out +By, which would leave us with.

Ax = C - By

Here we see that A is multiplying x, opposite of multiplication is division, so we divide both sides by A, which would give us:

x = C - By over A

Answer:

x=360/8

=45 degrees,,,,

The measure of x = 45°.

Exterior angles of a polygon are formed when by one of its side and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. You are already aware of the term polygon. A polygon is a flat figure that is made up of three or more line segments and is enclosed. The line segments are called the sides and the point where two sides meet is called the vertex of the polygon.

According to question,

There is a regular octagon.

Number of sides in regular octagon, n = 8

Since, measure of each exterior angle = 360°÷8

                                                                = 45°

Hence, the measure of each exterior angle of a regular octagon is 45°

To learn more on regular polygon click :

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Answer:

(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1

Substracting both

[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]

Putting in eq(2)

[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]

[tex]\\ \sf\Rrightarrow -4y=16[/tex]

[tex]\\ \sf\Rrightarrow y=-4[/tex]

Hence our solution is

Answer:

[tex]\boxed {\boxed {\sf a \approx207.35 \ in^2}}[/tex]

Step-by-step explanation:

Since the central angle is given in degrees, we should use this formula to find the area of the sector:

[tex]a=\frac{\theta}{360} \times \pi r^2[/tex]

The central angle is 165 degrees and the radius is 12 inches.

Substitute the values into the formula.

[tex]a= \frac{165}{360} \times \pi (12 \ in)^2[/tex]

Solve the exponent.

[tex]a= \frac{165}{360} \times \pi(144 \ in^2)[/tex]

Multiply all the numbers together.

[tex]a= 207.345115137 \ in^2[/tex]

Round to the nearest hundredth (two decimal places).

The 5 in the thousandth place (in bold above) tells us to round the 4 in the hundredth place up to a 5.

[tex]a \approx207.35 \ in^2[/tex]

The area of the sector is approximately 207.35 inches squared.

Answer:

10(x+10)(127)

=1270x+12700

The given expression gives [x] as 2.7.

We have the following equation -

10(x + 10) = 127

Given is -

10(x + 10) = 127

x + 10 = 12.7

x = 12.7 - 10

x = 2.7

Therefore, the given expression gives [x] as 2.7.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

June - August

Step-by-step explanation:

First count all of the Temperature values!

1. 40 + 45 + 58 + 69 + 78 + 88 + 92 + 90 + 82 + 70 + 57 + 45 = 814

2. now divided by the amount of months!

3. the average answer is 66 and 67!

Mmm, I'm stuck in this point! Just try June - August

But this is how you can find the average with a graph!

Answer:

c

Step-by-step explanation:

we are given that

[tex] \displaystyle a_{n} = - 3 \: \cdot a_{n - 1} \\ a_{1} = 45[/tex]

we are already given our first term i.e 45

for second term

[tex] \displaystyle a_{2} = - 3 \: \cdot a_{2- 1} [/tex]

simplify substraction:

[tex] \displaystyle a_{2} = - 3 \: \cdot a_{1} [/tex]

since we have [tex]a_1=45[/tex]

substitute:

[tex] \displaystyle a_{2} = - 3 \: \cdot 45[/tex]

simplify multiplication:

[tex] \displaystyle a_{2} = - 135[/tex]

for third term

[tex] \displaystyle a_{3} = - 3 \: \cdot a_{3- 1} [/tex]

simplify Substraction:

[tex] \displaystyle a_{3} = - 3 \: \cdot a_{2} [/tex]

as [tex]a_2=-135[/tex]

substitute:

[tex] \displaystyle a_{3} = - 3 \: \cdot - 135[/tex]

simplify multiplication:

[tex] \displaystyle a_{3} = 405[/tex]

for forth term

[tex] \displaystyle a_{2} = - 3 \: \cdot a_{4- 1} [/tex]

simplify Substraction:

[tex] \displaystyle a_{2} = - 3 \: \cdot a_{3} [/tex]

substitute:

[tex] \displaystyle a_{2} = - 3 \: \cdot 405[/tex]

simplify multiplication:

[tex] \displaystyle a_{2} = - 1215[/tex]

hence,

the first four terms are 45,-135,405,-1215

Step-by-step explanation:

hence,

the first four terms are 45,-135,405,-1215

Answer: 19.2inches³

Step-by-step explanation:

The volume of a cone is calculated as:

= 1/3πr²h

where,

π = 3.14

r = radius = diameter/2 = 3.5/2 = 1.75

h = height = 6

Volume = 1/3πr²h

= 1/3 × 3.14 × 1.75² × 6

= 19.2325

= 19.2inches³

Therefore, the volume of the cone-shaped sandwich is 19.2inches³.

Answer:

5 / 12

11 / 36

Step-by-step explanation:

The sample space for 2 dice = 6² = 36

Number of outcomes where sum is less than 7 = 15

Probability = required outcome / Total possible outcomes

P(obtaining a sum less Than 7) = 15 / 36 = 5/12

Number of outcomes where Sum of individual outcome is less than 20 = 11

P(sum of individual outcome less than 20) = 11/ 36

Answer:

angle DEG=47+30(sum of two interior opposite angle is equal to the exterior angle formed)

DEG=77 degree

DEF+47+30=180(being sum of interior angle of a triangle)

DEF+77=180

DEF=180-77

DEF=103 degree

measure of each angle is 60 degree

Step-by-step explanation:

Answer:

9. 103

10. 77

11. 60

Step-by-step explanation:

remember a triangle and supplementary angles equal 180 degrees

Answer: 45 people

Step-by-step explanation:

Data: $50 to rent the Skate Center

$5.50 for each person who attends

Limit of spending: $300

How many people can attend=x

Step one, Make the equation

$5.50x+$50=$300

Reason: Since we know that amount of people(x) multiplied by $5.50 added to $50 will get us $300, we can make an equation from that. The equation will make the problem simpler to solve.

Step two, Start isolating x by subtracting $50 on both sides

$5.50x+$50-50=$300-50=$5.50x=$250

Reason: Since we have to find x, we have to isolate it. The first step in doing that is subtracting $50 by 50 to get rid of it. However, since what you do to one side, you do to the other, you have to subtract $300 by 50 to get $250.

Step three, Divide by 5.50 on both sides

$5.50x/5.50=$250/5.50=x=45.454545454-

Reason: Since we have to isolate x and 5..50 is being multiplied by x, you have to divide it by 5.50 to get rid of 5.50. What you do to one side, you do to the other so you divide 250/5.50 to get 45.4545454545-.

Since this is a irl problem, you have to round it to 45 people

Answer: 45 people

I hope this helps!

Answer: add 18

Step-by-step explanation:

It's asking for the opposite equation. Addition undoes Subtraction. Same with multiplication undoing division.

Answer:  $18.19.

You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.

Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.