Use angles shown to make other angles ... Please help.. I know I have a lot of these but help ...

The density in terms of  pounds per cubic foot is 101.2 pounds/ft³

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here; 6900 g for every 4.05 quarts thus expressing in terms of pounds per cubic foot we get = 15.22/0.15039

                                                  = 101.2

Hence, The density in terms of  pounds per cubic foot is 101.2 pounds/ft³

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Given:

System of linear equations.

Explanation:

System 1:

The above system of equations can be simplified ELIMINATION BY SUBTRACTION.

System 2:

The above system of equations can be simplified using the SUBSTITUTION METHOD.

System 3:

The above system of the equation can be simplified using ELIMINATION BY SUBTRACTION.

System 4:

The above system of the equation can be simplified using ELIMINATION BY SUBTRACTION.

System 5:

The above system of the equation can be simplified using ELIMINATION BY MULTIPLICATION.

Hi There!!

I think the best answer is:

B. \(\sqrt[60 sec]{1 min}\)

P.S Tell me this is wrong....

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\(_{Loserbrazts}\)

Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.

Here we want to see, based on a graph, how many solutions does the cubic equation:

x³ + 6x² + 12x +8 = 0

The graph of the function:

g(x) = x³ + 6x² + 12x +8

Can be seen below, the number of real solutions that the equation:

x³ + 6x² + 12x +8 = 0

has, will depend on how many times the graph intercepts the x-axis.

We can see that there is only one intercept, so there is one real solution.

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Answer:

Step-by-step explanation:

200 percent

The required value of h, representing the height of the three-dimensional rectangle, is 12.

The diagonal of a three-dimensional rectangle is defined by the equation d² = x² + y² + h². To solve for h, we can rearrange the equation as follows:

h² = d² - x² - y²

Given the values d = 13, x = 3, and y = 4, we can substitute them into the equation:

h² = 13² - 3² - 4²

h² = 169 - 9 - 16

h² = 144

Taking the square root of both sides, we find:

h = 12

Therefore, the value of h, representing the height of the three-dimensional rectangle, is 12.

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Volume of a rectangular prism: Length x width x height

Length : 5 cm

Width : 1 3/4 cm

height : ?

Volume: 35 cm3

Replace with the values given:

35 = 5 x 1 3/4 x ?

Solve for ?

35 / (5 x 1 3/4 ) = ?

? = 4

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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Answer:

Step-by-step explanation:

(-3,-2)

Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least  C. 4'x8'.

The most common size (area) for sheet lumber is  4 x 8 feet, about 32ft² or 2.97m².

Other areas that sheet lumber can occupy include 2 x 2 feet, 2 x 4 feet, 4 x 4 feet, and 4 x 10 feet.

This implies that sheet lumber does not usually come in the following sizes: 4'x6', 8'x8', and 6'x10'.

Length of sheet lumber = 8 feet

Width of sheet lumber = 4 feet

Area of sheet lumber = 32 ft² (8 x 4)

Thus, according to Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least  C. 4'x8'.

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The sigma notations when evaluated are Σ(3X - 1) = 33 and Σ(2X)² = 248

From the question, we have the following parameters that can be used in our computation:

3, 7, 2

The notation Σ(3X - 1) can be represented as

Σ(3X - 1) = (3(3) - 1) + (3(7) - 1) + (3(2) - 1)

Evaluate

Σ(3X - 1) = 33

Using the above as a guide, we have the following operation

Σ(2X)² = (2 *(3))² + (2 * (7))² + (2 * (2))²

Evaluate

Σ(2X)² = 248

Hence, the value of Σ(2X)² is 248

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Answer:

543

Step-by-step explanation:

Answer:

"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.

So if he's got 10 quarts, that means 2 and a half gallons.

Step-by-step explanation:

Answer:

7x3=21 ... i think

Step-by-step explanation:

the factor of 35 is 1,5,7 and 35 but 7 is the largest prime number like the factors of 15 is 1,3,5 and 15 but 3 is the smallest prime number according to the question the answer is 7x3+21

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

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Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

0.5 meters (50 cm.)

Explanation: 2 divided by 4=0.5=50 cm.

Answer: how many sides?

4? 8?

Step-by-step explanation:

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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Answer:squares area is. 24

Step-by-step explanation:

6×4 = 24

Answer:

6a + 6b

Step-by-step explanation:

Use  Distributive property: a( b +c) =(a *b) +(a*c)

6(a + b) = 6*a + 6*b

            = 6a+ 6b

Given:

Data set = \(\{x, 2x, 3x, 4x\}\)

To find:

The absolute mean deviation for the given set.

Solution:

We have,

Data set = \(\{x, 2x, 3x, 4x\}\)

Mean of the data set is

\(Mean=\dfrac{\sum x_i}{n}\)

\(Mean=\dfrac{x+2x+3x+4x}{4}\)

\(Mean=\dfrac{10x}{4}\)

\(Mean=2.5x\)

Now,

The formula for mean absolute deviation (MAD) is

\(MAD=\dfrac{\sum |x_i-\overline x|}{n}\)

\(MAD=\dfrac{|x-2.5x|+|2x-2.5x|+|3x-2.5x|+|4x-2.5x|}{4}\)

\(MAD=\dfrac{|-1.5x|+|-0.5x|+|0.5x|+|1.5x|}{4}\)

\(MAD=\dfrac{1.5x+0.5x+0.5x+1.5x}{4}\)

\(MAD=\dfrac{4x}{4}\)

\(MAD=x\)

Therefore, the mean absolute deviation for the given set of data is x.

*see attachment for the figure described

Answer:

5 units

Step-by-step explanation:

==>Given the figure attached below, let where FH and EG intercepted be K.

Since FH are midpoints of parallel lines, KE = KG = x.

Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.

Area of kite = ½ × d1 × d2

Where d1 = KH = 7

d2 = EG = KE + KG = x + x = 2x

Area of kite EFGH = 35

THUS:

35 = ½ × 7 × 2x

35 = 1 × 7 × x

35 = 7x

Divide both sides by 7

35/7 = x

x = 5

Answer:

5 units

Step-by-step explanation:

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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First find the area of the square, then the triangle.

15 times 17 = 255 sq. yd

Triangle:

(5 times 5)/2 = 12.5 sq. yd

Your answer is 267.5 sq. yd

Hope this helps.