A moderately active man weighing 175 pounds should consume no more than 840 calories per day from fat
sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume a day

Answer:

The central angle measure of the sector is 150º.

Step-by-step explanation:

A sector of a circle is the portion of a circle enclosed by two radii and an arc.

When you know the central angle the area of a sector is given by

                                              \(A=\pi r^2(\frac{C}{360} )\)

where

r is the radius of the circle of which the sector is part.

C is the central angle in degrees.

We know that the area of the sector is \(60\pi \:cm^2\) and the radius is 12 cm. Applying the above formula and solving for the central angle we get that

\(60\pi =\pi (12)^2(\frac{C}{360}) \\\\\pi \left(12\right)^2\left(\frac{C}{360}\right)=60\pi \\\\\frac{\pi 12^2\cdot \frac{C}{360}}{144\pi }=\frac{60\pi }{144\pi }\\\\\frac{C}{360}=\frac{5}{12}\\\\C=150\)

Answer:5pi/6

Step-by-step explanation:

Answer:

Se pueden hacer 5040 permutaciones con la palabra COLUMNA.

Explanation:

La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.

La formula es:

P_^{n}: n!

Donde n son todos los elementos.

Answer:

It's the 2nd one

Step-by-step explanation:

To find the number of yellow marbles, you would do the number of blue marbles plus 6 marbles.

So in this case, let's say n was equal to the number of blue balls, the equation would be n+(n+6)=24.

What if n was equal to the number of yellow balls. The equation would be n+(n-6)=24.

Hope this made sense, let me know if you are still confused.

Answer:

0.66

Step-by-step explanation:

sin 90°/ 73 = sin L N /48

=> sin L N = 48×sin90° /73

= 48/73 = 0.66

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

Expand:

x^2+7x-2x-14

Answer:

x^2+5x-14

Step-by-step explanation:

Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Answer:

Step-by-step explanation: 0.12 times 20 will give you  the answer is 2.4

Answer:

C

Step-by-step explanation:

They are complementary which means they add to 90. I take it that the c is a typo and you meant x

6x + 3 + 4x + 7 = 90                  Combine like terms.

10x + 10 = 90                             Subtract 10 from both sides

10x = 90 - 10

10x = 80                                    Divide by 20

x = 80/10

x = 8

Answer:

c) 1000. 10'00 that the answer is there anything else please cantact me

Answer:

The answer is B.

Step-by-step explanation:

Counted 8 down and 5 to the right.

Step-by-step explanation:

so beacuse these triangles are similiar

we have

SD/SB=CD/AB

6/72=5.2/AB

AB=72×5.2/6=62.4

Given that ΔSCD and ΔSAB are similar triangles, the distance across the lake is: AB = 62.4 m.

Similar triangles possess corresponding side lengths that are proportional to each other, which means the ratio of their corresponding sides are equal.

Thus, since ΔSCD is similar to ΔSAB, therefore:

SD/SB = CD/AB

6/(6 + 66) = 5.2/AB

6/72 = 5.2/AB

AB = (72×5.2)/6

AB = 62.4 m

Therefore, given that ΔSCD and ΔSAB are similar triangles, the distance across the lake is: AB = 62.4 m.

Learn more about similar triangles on:

https://brainly.com/question/11899908

In the middle equation on the left side, if you let x = 3/2, then the term containing A vanishes and you can solve for B :

12*(3/2) - 25 = A (2*(3/2) - 3) + B

18 - 25 = A * (3 - 3) + B

B = -7

which makes the last option the correct answer.

Answer:

D

Step-by-step explanation:

edge 2021

The best representation of the possible range of values for the third side, s is 2 <  s < 18.  

An acute triangle is a triangle with three acute angles.

Now the given sides of acute triangle is 8 cm and 10 cm.

Third side is s.

Now, since the third side of any triangle must be greater than the difference of the given two sides and must be less than the sum of the given two sides.

hence,

s > (10 - 8)

s > 2

and,

s < (10 + 8)

s < 18

So, the required range of the third side of acute triangle is given as,

2 <  s < 18

Hence, the best representation of the possible range of values for the third side, s is 2 <  s < 18.

More about triangle :

https://brainly.com/question/15367648

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

for such more question on length

https://brainly.com/question/20339811

#SPJ11

Answer:

43.96

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

According to the given information, the ratio P:O:R is 2√3 : 1 : 2 in its simplest form.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).

Since p:q:r = √3:1:1, we can write:

p = √3x

q = x

r = x

where x is a common factor.

We can see that triangle ABC is a 30-60-90 triangle with angle A = 60 degrees, and that angle BOC is a right angle. Therefore, we can use the ratios of sides in a 30-60-90 triangle to find the values of P, O, and R:

P = AB = p = √3x

O = BC/2 = q/2 = x/2

R = AC = r = x

Therefore, the ratio P:O:R is:

P:O:R = √3x : x/2 : x

We can simplify this ratio by multiplying all terms by 2 to get rid of the fraction:

2√3x : x : 2x

We can further simplify by dividing all terms by x:

2√3 : 1 : 2

Therefore, according to the given information, the ratio P:O:R is 2√3 : 1 : 2 in its simplest form.

To know more about ratio and proportion visit :

https://brainly.com/question/12024093

#SPJ1

Answer:

Step-by-step explanation:

Three options for the first position

Two options for the second position

one option for the third position

3•2•1 = 6 ways

their orders could be

1) ABC

2) ACB

3) BAC

4) BCA

5) CAB

6) CBA

Answer:

Would be 6 ways

Step-by-step explanation

3x2=6

Answer:

46

12+12=24

6+6=12

8+8=16

24+12+16:46

S-G is the expression in terms of G and S

Given: log_b 4 = G, log_b9 = S and log_b 9/4

To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:

When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.

logₓ (a/c) = logₓa - logₓc

Thus,  log_b (9/4) = log_b 9 - log_b 4  = S - G  

(Note: log_b 4 = G and log_b9= S)

Therefore, the expression log_b (9/4) in terms of G and S is S-G

Learn more about logarithm rules on:

https://brainly.com/question/28596566

#SPJ1

Part(a),

The value of a is 6 and m is 8.

Part(b),

The value of b is 3 and n is 3.

Scientific notation can be used to indicate numbers that are either too big or too little to be conveniently stated in decimal form. It may be called scientific form.

Standard notation is the practice of writing a number using nothing but its digits. This is how numbers are usually expressed because traditional number notation does not utilize words.

Part(a),

The scientific notation will be solved as,

6 x 10⁸ = \(a. 10^m\)

a = 6

m = 8

Part(b),

The scientific notation will be solved as,

( 2.4 x 10⁶ ) / 800 = \(a. 10^m\)

3000 = 3 x 10³ =  \(a. 10^m\)

a = 3

m = 3

To know more about scientific notations follow

brainly.com/question/106363

#SPJ1

Answer: 50L

Step-by-step explanation:

Answer:

50 L

Step-by-step explanation:

To find the percent, first change the percent to a decimal

50% = .50

Multiply this by 100 L

.50 * 100L

50 L

50% of 100L = 50 L

Answer:

49\(\sqrt{21}\)

Step-by-step explanation:

You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well

Answer: 49 √3 or 84.87049

Step-by-step explanation:

Answer: The answer is going to be

120 x 65%/3

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

For more such questions on figures, click on:

https://brainly.com/question/24491627

#SPJ8

1) y = -3x and y = -3x + 2: inconsistent system of equations.

2) y = x - 5 and -2x + 2y = - 10: consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15 : consistent and independent.

The given equation are:

The graph for each system of equations is plotted.

1) y = -3x and y = -3x + 2

From the graph 1 it is shown that the lines for the each equation form the parallel lines.

Thus, system of equations are inconsistent.

2) y = x - 5 and -2x + 2y = - 10

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

Know more about the inconsistent system of equations

https://brainly.com/question/19282045

#SPJ1

Yes, the solution is correct as x = 4

Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.

These expressions are also composed of operations, such as;

From the information given, we have that;

8 - √x = 10

collect the like terms

- √x = 10 - 8

subtract the values

- √x = 2

Then, we have;

√x = -2

Take the square root of both sides

x = (-2)²

x = 4

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1