The triangles are similar. What is the value of x? Show your work.

Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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Answer:23.4$

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

5 x 5 is 25 so 2 x 5, 20 times makes 40

Answer: To find the remainder when the polynomial 5x^2 + 10x - 15 is divided by x + 5, we can use polynomial long division or synthetic division. Here, we will use synthetic division:

The divisor is x + 5, so we change its sign and write -5 as the constant in the synthetic division setup. Then we list the coefficients of the terms of the dividend polynomial, in decreasing order of powers of x, and place a placeholder for the missing x term:

-5 | 5 0 10 -15

| -25 125 -675

+----------------

5 -25 135 -690

The remainder is the last number in the bottom row, which is -690. Therefore, the remainder when 5x^2 + 10x - 15 is divided by x + 5 is -690.

Step-by-step explanation:

Step-by-step explanation:

x + 7- 5x- 5

= x - 5x +7- 5

= -4x + 2

= -2 (2x - 1)

Answer:

-4x+2

Step-by-step explanation:

Combine Like Terms:

x + 7 - 5x - 5

-4x + 7 - 5

-4x + 2

The solution set of the given system of linear equations can be expressed as a line in R^3 vector as r = (6, -2) + x_3(3, -5).

To express the solution set of the given system of linear equations as a line in R^3, we first need to express the solution set as a vector equation. We can do this by expressing the equations in terms of x_3 as follows:

x_1 = 6 + 3x_3,

x_2 = -2 - 5x_3

Therefore, the solution set of the given system of linear equations can be expressed as a line in R^3 as follows:

r = (6, -2) + x_3(3, -5).

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Answer:

x = 12

Step-by-step explanation:

(6x-2) + 20 = 90

6x-2 = 70

6x = 72

72 / 6 = 12

x = 12

Answer:

140/130 > 104%

Step-by-step explanation:

When you convert 140/130 to a decimal, you get 1.07 which is 107%. 107% is greater than 104%, so 140/130 is > 104%

The time complexity for the closest pair of points problem using divide-and-conquer is O(n log(n)).

In the divide-and-conquer algorithm for finding the closest pair of points, the main time-consuming step is the divide step, where the points are recursively divided into smaller subsets. This step has a time complexity of O(log(n)).

After the division, the conquer step involves combining the results from the subproblems and finding the closest pair of points among them. This step has a time complexity of O(n) since it requires comparing each point in one subset with the points in the other subset.

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Having factorized using identities, the result is [(a^2c + b^2a + c^2b)/(abc)][(a^2 + b^2 + c^2 - a^2b^2c^2)/(a^2b^2c^2)]

One possible approach to factorizing the expression is to use the identity:

a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - ac - bc)

If we let a = b/c, b = c/a, and c = a/b, then we can substitute these expressions into the identity and simplify:

(a/b)^3 + (b/c)^3 + (c/a)^3 - 3abc/a^3b^3c^3

= [(a/b) + (b/c) + (c/a)][(a/b)^2 + (b/c)^2 + (c/a)^2 - (a/b)(b/c) - (a/b)(c/a) - (b/c)(c/a)]

= [(a^2c + b^2a + c^2b)/(abc)][(a^2 + b^2 + c^2)/(a^2b^2c^2) - 1]

= [(a^2c + b^2a + c^2b)/(abc)][(a^2 + b^2 + c^2 - a^2b^2c^2)/(a^2b^2c^2)]

Therefore, the factorization of the given expression is:

(a/b)^3 + (b/c)^3 + (c/a)^3 - 3 = [(a^2c + b^2a + c^2b)/(abc)][(a^2 + b^2 + c^2 - a^2b^2c^2)/(a^2b^2c^2)]

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Answer:

the last one is -4 the first one -2 I think

Step-by-step explanation:

im at this level of math

Answer:

11

Step-by-step explanation:

Answer: x=-3

Step-by-step explanation:

Step-by-step explanation:

please make sure that fractions are still in the problem text after scanning it.

because they are missing here, and I have to guess around.

Basically the problem is

x + 1/a × x = 15

that means

ax + x = 15a

(a+1)x = 15a

x = 15a/(a+1)

for a = 2 (so, 1/2 x is added to x), we get

x = 15×2/3 = 30/3 = 10

for a = 4 (1/4 of x is added to x), we get

x = 15×4/5 = 60/5 = 12

these are also the first 2 answer options. so, please pick the one that fits the complete problem definition.

the 3rd and 4th answer options are nonsense anyway, as when you add something greater than 0 to x and get 15, then the initial x cannot be already 15 or even bigger.

Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

\(C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m\)

Answer:

y=3x

Step-by-step explanation:

The correct answer is:      D) $31,752.78

Explanation:

The formula for compound interest is:

where A is the total amount, p is the principal invested, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.

The principal in this problem is 25,000; the interest rate is 3% = 3/100 = 0.03; the number of times the interest is compounded is 4; and the number of years is 8:

Answer:

Bisecting an Angle.

Step-by-step explanation:

This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.

Answer:

bisecting an angle

just took the test!

Step-by-step explanation:

Answer:

810000

Step-by-step explanation:

Answer:

2 and 4 only

Step-by-step explanation:

hope it helped!!!

Answer:

LHS ≠ RHS

Step-by-step explanation:

\(LHS =\\\\=(x+1)^2 (x + 2) \\\\=(x^2 + 2x + 1)(x+2)\\\\=x(x^2 + 2x + 1) + 2(x^2 + 2x + 1) \\\\=(x^3 + 2x^2 + x ) + ( 2x^2 + 4x + 2) \\\\=x^3 + 2x^2 + x + 2x^2 + 4x + 2 \\\\=x^3 + 4x^2 + 5x + 2\)

Answer:

4m+3

Step-by-step explanation:

Apples- $4 each

PB Jar- $3

We know that he bought one jar of PB but we don't know how many apples. We can represnt the amount of apples by m

that would be:

4m+3

The volume of the solid generated by rotating the region bounded by the curves y = 2/x, y = 0, x = 1, and x = 6 about the y-axis is 10π cubic units.

To find the volume using the method of cylindrical shells, we divide the region into thin vertical strips that are parallel to the y-axis. Each strip has a height determined by the difference in y-values of the two curves and a radius equal to the x-coordinate of the curve y = 2/x.

The limits of integration are determined by the x-values where the curves intersect. In this case, the curves intersect at x = 1 and x = 6. We integrate the expression 2π r h, where r represents the x-coordinate of the curve and h represents the height of the strip.

Integrating the expression 2π(2/x)dx over the given limits [1, 6], we find the volume V = 2π ∫[1, 6] 2 dx. Evaluating this integral, we get V = 2π(6 - 1) = 10π cubic units. Therefore, the volume of the solid is 10π cubic units.

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Answer:

25

Step-by-step explanation:

180-155

Answer:  The probability that 2 freshmen and 1 sophomore are selected is 42/91.

Step-by-step explanation:

To obtain the probability that 2 freshmen and 1 sophomore are selected from a group of 8 freshmen and 6 sophomores, we can use the combinations formula:

The total number of ways to select 3 people from a group of 8 + 6 = 14 people is:  

C(14, 3) = 14! / (3! * 11!) = 364

The number of ways to select 2 freshmen from a group of 8 freshmen is: C(8, 2) = 8! / (2! * 6!) = 28

The number of ways to select 1 sophomore from a group of 6 sophomores is: C(6, 1) = 6! / (1! * 5!) = 6

Therefore, the number of ways to select 2 freshmen and 1 sophomore from the group of 14 people is: 28 * 6 = 168

The probability of selecting 2 freshmen and 1 sophomore is:P(2F, 1S) = 168 / 364 = 42 / 91

Therefore, the probability that 2 freshmen and 1 sophomore are selected is 42/91.

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Answer:

it is D you were correct

All are favourite for me ....