A construction manager weighs a bundle of 9 identical bricks and a 7 pound concrete block. The bundle weighs 30 pounds.

Simplify the radical by breaking the radicand up into a product of known factors.

Therefore the answer would be 2! Hopefully this helps.

Final answer:

The slope-intercept form of the equation 9x - y = 9 is y = 9x - 9, which shows a slope of 9 and a y-intercept of -9, corresponding to option b).

Explanation:

The slope-intercept form of the equation 9x - y = 9 can be found by solving for y. We want to rearrange the equation to get y by itself on one side, which allows us to see the slope and y-intercept more clearly. The standard slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

To solve for y, we perform the following steps:

Add y to both sides of the equation: 9x - y + y = 9 + y, resulting in 9x = 9 + y.

Next, we subtract 9 from both sides to get y by itself: 9x - 9 = y.

The resulting equation is y = 9x - 9, which matches option b).

This shows the slope of the line is 9 and the y-intercept is -9. The values correspond to the terms in the slope-intercept form where the coefficient of x is the slope, and the constant term is the y-intercept.

Answer:

-0.75968791285

Step-by-step explanation:

To find cos(-15°), we recognize that cosine is an even function, so cos(-15°) = cos(15°). Utilizing the cosine angle subtraction formula and known cosine and sine values, we find that cos(15°) = (√6 + √2) / 4, thus cos(-15°) = (√6 + √2) / 4.

Finding Cosine of -15 Degrees:

To find cos(-15°), we can use the cosine angle addition formula. This is particularly useful as we can break down -15° into simpler angles:

cos(-15°) = cos(15°) because cosine is an even function: cos(-θ) = cos(θ).

Next, we utilize the angle subtraction formula for cosine:

cos(15°) = cos(45° - 30°) = cos(45°)cos(30°) + sin(45°)sin(30°)

We know that:

cos(45°) = √2 / 2    

cos(30°) = √3 / 2

sin(45°) = √2 / 2

sin(30°) = 1 / 2

Substituting these values into the formula, we get:

cos(15°) = (√2 / 2) × (√3 / 2) + (√2 / 2) × (1 / 2)

Simplify the expression:

cos(15°) = (√6 / 4) + (√2 / 4)

Thus:

cos(15°) = (√6 + √2) / 4

Therefore, cos(-15°) = (√6 + √2) / 4.

Answer:

[tex]\pi \: {r}^{2} \\ \pi \: {6}^{2} \\ = 36\pi[/tex]

We can't see any choices but it doesn't matter.  That's the factorization of the difference of two squares.  It's important to recognize either side when you see it; the usual next move is to replace it with the other side.

(x + y)(x – y) = x² - y²

Answer: x² - y²

Answer:

Option A

Step-by-step explanation:

If you take a look at the translation described in option A, the x value is increased by 1 (from -2 to -1), and the y value is decreased by 5 (from -5 to -10), meaning that you have made this jump with just one translation. Hope this helps!

Answer:

25.9666 m

Step-by-step explanation:

The 4 arches combine to for a circle, so then you can find the area of the shaded region by subtracting the area of the square from the area of the circle.

The formula for area of a circle is A=[tex]\pi[/tex]r^2

Since the radius of the circle would be 11/2 or 5.5, the area if the circle would be [tex]\pi[/tex] x 5.5^2. This equals 95.0334.

The area of the square would be 11 x 11 = 121.

The 121-95.0334= 25.9666 m

Answer:

12x - y

Step-by-step explanation:

The numbers in the brackets are being multiplied by -1. For this you can just use the opposite signs for the things in brackets and remove the brackets. (AKA 14x - 2x - y)

Then you can ignore the y for now, and just deal with the x's first.

14x - 2x = 12x

Since there's only 1 y, you don't need to do anything with it other than put it back in the equation.

The finished equation is 12x - y

Answer:

$5.00 per pound

Step-by-step explanation:

12oz = $3.75

12(1.33333333) = 16

3.75(1.33333333) = 4.9 repeating

so the answer is $5.00

Answer:

81

Step-by-step explanation:

9*7 = 63

6*3 = 18

63 + 18 = 81

Answer:

8.64 feet squared

Step-by-step explanation:

The formula for calculating the area of a triangle is 1/2(bh) or base * height divided by 2,

So first multiply 4.8 and 3.6

(4.8) (3.6) = 17.28

Then divide that by 2

17.28/2 = 8.64

Answer:

A. 8.64 feet squared

Step-by-step explanation:

A = 1/2bh

A = 1/2(4.8 x 3.6)

A = 1/2(17.28)

A = 8.64 feet²

Answer:

A. [tex](x+5)^2+(y-8)^2=100[/tex]

Step-by-step explanation:

1. The standard form of the equation of a circle is [tex](x-h)^{2} + (y-k)^2=r^2[/tex]

2. To find the center we require the  midpoint   of the  2 given points

center =[tex][\frac{1}{2}(-4-6),\frac{1}{2}(11+5)][/tex]

=(-5,8)

3. The radius is the distance from the centre to either of  the 2 given points calculate the radius using the  distance formula

d= [tex]\sqrt{(x_{2}+x_{1})^{2} +(y_{2}-y_{1})^{2}[/tex]

let [tex](x_{1},y_{1})= (-5,8) \\[/tex] and [tex](x_2,y_2)=(-4,11)[/tex]

r=[tex]\sqrt{(-4+5)^2+(11-8)^2} =\sqrt{81+9}=10[/tex]

--> [tex](x-(-5)^2+(y-8)^2=10^2[/tex]

--> [tex](x+5)^2+(y-8)^2=100[/tex]

Answer:

The anser is B 100% willing to put $100 on it.

Step-by-step explanation:

Answer:

P = 0.0909

Step-by-step explanation:

To know the number of ways or combinations in which we can select x elements from a group of n elements, we can use the following equation:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

So, if you sat down at your computer and randomly loaded 4 of the 12 problems, there are 495 different possibilities and it is calculated as:

[tex]12C4=\frac{12!}{4!(12-4)!}=495[/tex]

Then, from 495 different possibilities, there are 45 possibilities that both this problem and Richard Rusczyk's problem were among the four you loaded. This 45 possibilities are calculated as:

[tex](1C1)*(1C1)*(10C2)=(\frac{1!}{1!(1-1)!})*(\frac{1!}{1!(1-1)!})*(\frac{10!}{2!(10-2)!})=45[/tex]

Because you need to select: this problem and there is only one, the problem that Richard Rusczyk wrote and there is only one, and 2 problems from the other 10.

Finally, the probability that both this problem and Richard Rusczyk's problem were among the four you loaded is equal to:

[tex]P=\frac{45}{495}=0.0909[/tex]

Answer: I believe the volume is 4188.79 cm^3.

Step-by-step explanation: The equation for the volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(1000) = 4188.79 cm^3.

Marvin would need 6.25 cans of paint for square 1.

Using ratio of paint used

We are given that it takes 4 cans of paint to paint square 3 and 5 cans of paint to paint square 2.

This suggests a possible ratio between the amount of paint needed for different squares. Let's assume this ratio remains constant.

If the ratio between squares 2 and 3 is r, then:

Paint needed for square 2 = 5 cans = r * Paint needed for square 3

Paint needed for square 3 = 4 cans

Solving for r: r = 5 cans / 4 cans = 1.25

Assuming the same ratio applies to square 1 and 2:

Paint needed for square 1 = r * Paint needed for square 2

Paint needed for square 1 = 1.25 * 5 cans = 6.25 cans

Therefore, Marvin would need 6.25 cans of paint for square 1.

Complete question:

Marvin is painting three squares shaped like the one below. If it takes him exactly four cans of paint to paint square 3 and five cans of paint to paint square 2, how many cans of paint should he need to paint square 1?

For this case we have that by definition, the volume of a cone is given by:

[tex]V = \frac {1} {3} * \pi * r ^ 2 * h[/tex]

Where:

r: It is the radius of the cone

h: Is the height of the cone

We must find the radius knowing that the circumference of the base of the cone is[tex]19.1 \ ft[/tex]

[tex]2 \pi * r = 19.1\\r = \frac {19.1} {2 \pi}\\r = 3.04 \ ft[/tex]

Thus, we substitute in the formula:

[tex]V = \frac {1} {3} * \pi * (3.04) ^ 2 * 5.3\\V = \frac {1} {3} * \pi * 9.25 * 5.3\\V = \frac {1} {3} * 154.0165\\V = 51.34[/tex]

Thus, the volume of the cone is: [tex]51.34 \ ft ^ 3[/tex]

Answer:

[tex]51.3 \ ft ^ 3[/tex]

Answer:

51.3 ft^3

Step-by-step explanation:

Answer:

The volume of the cone is equal to 1000π in³  in terms of π  or  is approximately equal to 3140 in³

Step-by-step explanation:

To find the volume of a cone with a height of 30 in. and diameter of 20 in., we will follow the steps below;

First write down the formula for finding the volume of a cone

V = πr²[tex]\frac{h}{3}[/tex]

where v is the volume of the cone, r is the radius of the cone and h is the height of the cone.

From the question given, the height h of the cone is 30 in and the diameter is given to be 20 in. but radius is half of diameter, this implies that r=d/2=20/2=10 in., that is radius r = 10 in

We can proceed to inert the values into the formula

V = πr²[tex]\frac{h}{3}[/tex]

   =π×10²×[tex]\frac{30}{3}[/tex]

   =π×100×10

  =1000π

v =1000π in³  in terms of π

substituting π = 3.14

v ≈1000(3.14)

v≈3140 in³

Therefore the volume of the cone is equal to 1000π in³  in terms of π  or  is approximately equal to 3140 in³

The approximate volume of the cone is [tex]\(\frac{10000\pi}{3}\)[/tex] cubic inches.

To find the volume of a cone, the formula used is:

[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]

Given that the diameter of the cone is 20 inches, we can find the radius by dividing the diameter by 2:

[tex]\[ r = \frac{diameter}{2} = \frac{20 \text{ in}}{2} = 10 \text{ in} \][/tex]

Now we can substitute the values of r and h into the volume formula:

[tex]\[ V = \frac{1}{3} \pi (10 \text{ in})^2 (30 \text{ in}) \][/tex]

[tex]\[ V = \frac{1}{3} \pi (100 \text{ in}^2) (30 \text{ in}) \][/tex]

[tex]\[ V = \frac{3000\pi}{3} \text{ in}^3 \][/tex]

The approximate volume of the cone is [tex]\(\frac{10000\pi}{3}\)[/tex] cubic inches.

Answer:

Suppose that you had a right angle triangle. Note that if you take it and another copy of it (moved around a bit) the two triangles together can be placed to make a rectangle.

This rectangle has four 90 degree angles adding up to 360 degrees. Since the triangles are congruent each triangle has half as many degrees, namely 180. So this is true for any right triangle.

Suppose you triangle is not a right triangle. Draw a perpendicular from the vertex opposite the longest side, to the longest side. What you have now is two right triangles which, by the above contain 360 degrees in total. But if you look at the two right angles that add up to 180 degrees so the other angles, the angles of the original triangle, add up to 360 - 180 = 180 degrees.

Step-by-step explanation:

Answer:

The sum must be 180° for the angles to be a triangle.

The Triangle Sum Theorem states that every angle in a triangle must equal 180° in total.

m∠A +m∠B +m ∠C = 180°

The equation above can help you solve for an angle in a triangle if two measurements of the angle are given.

There will be 1.095kg of cashews.

Step-by-step explanation:

Peanut = 1.78kg

Almonds = 0.625kg

If the total mass of the nuts should be 3.5kg then the cashew will be,

Cashew = 3.5 - 1.78 - 0.625

= 1.095 kg

There will be 1.095kg of cashews.

Answer:

There will be 1.095kg of cashews.

Step-by-step explanation:

Peanut = 1.78kg

Almonds = 0.625kg

If the total mass of the nuts should be 3.5kg then the cashew will be,

Cashew = 3.5 - 1.78 - 0.625

= 1.095 kg

There will be 1.095kg of cashews.

Answer:

B (it's kinda cut off)

Step-by-step explanation:

Use the acronym SOHCAHTOA to determine which trigonometric function to use. We'll use cosine since we have the hypotenuse and the adjacent length.

Set up an equation:

cos(41)=x/18

cos(41)*18=x

13.585=x

So your best choice would be B

Answer:

4a+6

Step-by-step explanation:

To find the answer to this problem, you need to combine the like terms. (3a+7)+(a-1)=(3a+a)+(7-1)=4a+6. Hope this helps!

The of the given expression is 4a+6.

An algebraic expression is formed by using integers, constants, variables, and arithmetic operations. Variables and constants can be combined in an algebraic expression through mathematical operations.

Given that, an expression (3a+7)+(a−1), we need to find sum,

So,

(3a+7)+(a−1)

Opening the brackets,

3a+7+a-1

Combining the like terms,

3a+a+7-1

= 4a+6

Hence, the of the given expression is 4a+6.

Learn more about expression click;

https://brainly.com/question/16804733

#SPJ3

Answer:

For the green one the answer is 8 square units

For the red one the answer is 9 square units

Hope this helps

The area of the shaded green polygon is equal to 8 square units.

The area of the shaded red polygon is equal to 9 square units.

In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):

Area of triangle = 1/2 × b × h

Where:

Note: When the green polygon is dissected, three triangles would be formed.

By substituting the given side lengths into the formula for the area of a triangle, we have the following;

Area of triangle = (1/2 × 1 × 1) + (1/2 × 3 × 1) + (1/2 × 3 × 4)

Area of triangle = 0.5 + 1.5 + 6

Area of triangle = 8 square units.

In order to determine the area of the shaded red polygon, we would have to apply Pick's theorem;

Area of polygon = (b/2 + i) - 1

where:

By substituting the number of lattice points, we have the following;

Area of polygon = (b/2 + i) - 1

Area of red polygon = (4/2 + 8) - 1

Area of red polygon = 10 - 1

Area of red polygon = 9 square units.

Answer:

D)

9 units

Step-by-step explanation:

[tex]distance = 6 - ( - 3) = 6 + 3 = 9 \: units[/tex]

Answer:

A) -9 units is the distance between -3 and 6

Answer:

1/9

Step-by-step explanation:

There are 30 pens in total, 1/3 of the pens are each the following colours: blue; black; red.

This will result in a one in three chance of picking up a red pen. As Mr.Lopez puts the pen back, the fractions stay the same as it's the same possibility both times.

As it's again a one in three chance, we just have to multiply it for the possibility of him picking a blue pen, which is 1/3.

1/3 * 1/3 = 1/9

Answer:

40

Step-by-step explanation:

If the dimensions are proportional, then you just need to multiply 5 by 8 to get what ? is equal to.

Answer:The Answer is 40

Step-by-step explanation:the bottom is 7 x 8 to get 56 the side length is 8x8 to get 64 and the other is 5 x8 to get 40.

Hope this helped ;D

Answer:

50

Step-by-step explanation:

Unknown number = x

32% = 0.32

Write an equation

0.32(x) = 16

Simplify

0.32x = 16

Divide both sides of the equation by 0.32

x = 50

50

Hope this helps :)