Choose the group of one-inch cubes that forms a rectangular prism that has the given dimensions. Then find the surface area of the prism. 1 x 2 x 3​

5789 he has that much holp this helps

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

0

It runs parallel to the z-axis and so has a zero slope

Answer: Yes!

Step-by-step explanation:

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Answer:

3

Step-by-step explanation:

12 Divided By 4 Is 3

And 3 Is A Whole Number

Your answer is 3

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

a) Length of Fence = 50 meters

b) Weight of Grass Seeds = 20 kg

c) Area of Carriageway = 516 sq. meters

d) Time taken by the Striping Car = 7.6 minutes

What is a Circle?

A circular plane figure with a circumference made up of points equidistant from a given point (the center).

Solution:

a) To calculate the length of fence we need to find the circumference of the inner circle

Circumference of Circle = 2*22/7 *Radius

Circumference of Circle = 2 * 22/7 * (16)/2

Circumference of Circle = 50.24

So, the length of fence is 50 meters approx

b) To calculate the the total weight of grass we need to first find the area of the inner circle

Area of Circle = 22/7 * (Radius)^2

Area of Circle = 22/7 * (16)^2

Area of Circle = 22/7 * 256

Area of Circle = 803.84 meter sq.

For 1 meter sq. = 25 grms of grass seeeds are required

So, for 804 meters = 25*804 = 20100 grams

20100 grams = 20.1 kg = 20 kg (approx)

c) The are of Inner Carriageway will be calculated by substracting the area of inner circle from outer circle

Area of Outer Circle = 3.14 * (16+4.5)^2

Area of Outer Circle = 1320 sq. meters (approx)

Area of Inner Circle = 804 sq. meters (approx) #we have calculated it above

Area of Carriageway = 1320 - 804 = 516 sq. meters (approx)

d) Speed of Stripping Car = 25 cm/sec

Circumference of the part to be stripped = 2*3.14*(16+2.25)

Circumference = 115 meters approx. = 11500 cm

Time = Distance / Speed

Time = 11500/25 = 460 seconds

460 seconds in minutes = 7.6  minutes

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Answer:

Its a) 15

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

reflection!!

Step-by-step explanation:

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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Answer:

16/30, 8/15, 24/45

Answer:

8:15

8/15

8 to 15

Step-by-step explanation:

The systems of equations A. x – y = 1, –3x + 3y = 3 and E. x + y = 1, –4x + 2y = 7 have no solutions because the equations lead to contradictory statements.

The systems of equations that have no solutions are A. x – y = 1, –3x + 3y = 3 and E. x + y = 1, –4x + 2y = 7.
Let's analyze each system of equations to understand why they have no solutions:
A. x – y = 1, –3x + 3y = 3
To determine if this system has a solution, we can rearrange the first equation to solve for x:
x = y + 1
Then we substitute this expression for x into the second equation:
-3(y + 1) + 3y = 3
Simplifying, we get:
-3y - 3 + 3y = 3
-3 = 3
Since -3 does not equal 3, the system has no solution.
E. x + y = 1, –4x + 2y = 7
Again, we can rearrange the first equation to solve for x:
x = 1 - y
Substituting this expression for x into the second equation:
-4(1 - y) + 2y = 7
Simplifying, we get:
-4 + 4y + 2y = 7
6y - 4 = 7
6y = 11
y = 11/6
However, if we substitute this value of y back into the first equation, we get:
x + 11/6 = 1
x = 1 - 11/6
x = -5/6
Therefore, this system of equations does not have a solution.
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Answer:

a¹⁰

Step-by-step explanation:

\((x^{m} )^{n} =x^{mn}\)  

So here we have (a⁵)², meaning we need to multiply the exponents to get a¹⁰

Answer: 720,000,000,000

Step-by-step explanation: Find your answer by multiplying the 2 percent's.

Let p, equal percent.

800000000.0%x9000000.0% = p

800000000.0%x9000000.0% = 720,000,000,000

720,000,000,000  = p

Answer:

y=-x

Step-by-step explanation:

The y-intercept is 0 and the slope is -1 so -x.

Answer: The width is 11 yards

Step-by-step explanation:

We know that to find the area of a rectangle you will have to multiply the length by the width.

So the area is 198 square yards and the length is 18 yards so we can set up an equation where 18 is being multiply by x and x  is the width  and make it equal 198.

18 * x = 198   solve for x  to find the width  

18x = 198

x= 11  

The width in this case is 11 yards

Answer:

its 10

Step-by-step explanation:

The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.

As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.

Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.

For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.

In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,

the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.

They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.

It enables students to see connections between subjects and fosters an integrated approach to learning.

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Answer:

The correct answer is x = 12.

Step-by-step explanation:

To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles.  This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected.  This is modeled below:

9x - 54 = 4x + 6

Now, we can solve this equation like any other.  The first step is to subtract 4x from both sides.

9x - 4x - 54 = 4x - 4x + 6

5x - 54 = 6

Then, we should add 54 to both sides.

5x - 54 + 54 = 6 + 54

5x = 60

Finally, we can divide both sides by 5.

5x/5 = 60/5

x = 12

Therefore, the correct answer is x = 12.

Hope this helps!

Answer:

The value of x is 12°.

Step-by-step explanation:

Given that AC is the angle bisector of ∠BAD which means that AC cuts exactly the center of ∠BAD so ∠BAC and ∠CAD must be the same.

In order to find the value of x, you have to make ∠BAC = ∠CAD

\(∠BAC = ∠CAD\)

\(9x - 54 = 4x + 6\)

\(9x - 4x = 6 + 54\)

\(5x = 60\)

\(x = 60 \div 5\)

\(x = 12\)

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Answer: d.12

Step-by-step explanation:

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

I assume the equation is

\(x \, dy - (y^2 - 4y) \, dx = 0\)

since separating variables leads to

\(x\,dy = y(y-4) \, dx\)

\(\dfrac{dy}{y(y-4)} = \dfrac{dx}x\)

for which the condition that \(x>0\) is actually relevant, as opposed to the simpler differential equation

\(x \, dx - (y^2-4y)\, dy = 0 \implies y(y-4) \, dy = x \, dx\)

(though it's a bit more work to solve for \(y(x)\) in this case)

That the slope \(\frac{dy}{dx}\) is non-zero tells us that

\(\dfrac{dy}{dx} = \dfrac{y(y-4)}x \neq 0 \implies y\neq0 \text{ and } y \neq 4\)

Integrate both sides.

\(\displaystyle \int \frac{dy}{y(y-4)} = \int \frac{dx}x\)

On the left, expand into partial fractions.

\(\displaystyle \frac14 \int \left(\frac1{y-4} - \frac1y\right) \, dy = \int \frac{dx}x\)

\(\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x| + C\)

With the given initial value, we find

\(y(1) = 2 \implies \dfrac14 (\ln|2-4| - \ln|2|) = \ln|1| + C \implies C = 0\)

so the particular solution is

\(\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x|\)

By definition of absolute value, with the initial condition of \(0 < y=2 < 4\) and the condition \(x>0\), we can remove the absolute values.

\(\dfrac14 (\ln(4-y) - \ln(y)) = \ln(x)\)

Solve for \(y\).

\(\ln\left(\dfrac{4-y}y\right) = 4 \ln(x) = \ln\left(x^4\right)\)

\(\dfrac{4-y}y = \dfrac4y - 1 = x^4\)

\(\implies y(x) = \dfrac4{1 + x^4}\)

Then

\(10y\left(\sqrt2\right) = \dfrac{40}{1 + \left(\sqrt2\right)^4} = \boxed{8}\)

On the off-chance you meant the other equation I suggested, we find

\(\displaystyle \int y(y-4) \, dy = \int x \, dx\)

\(\displaystyle \frac{y^3}3 - 2y^2 = \frac{x^2}2 + C\)

\(y(1) = 2 \implies \dfrac83 - 2\cdot4 = \dfrac12 + C \implies C = -\dfrac{35}6\)

Solving for \(y(x)\) involves picking the right branch of the cube root that agrees with \(y(1)=2\). With the cube root formula, we find

\(y(x) = 2 - \xi(1 - i\sqrt3) - \dfrac1\xi (1+i\sqrt3)\)

where

\(\xi = \dfrac{2\sqrt[3]{4}}{\sqrt[3]{3x^2 - 3 + \sqrt{9x^4 - 18x^2 - 1015}}}\)

With a calculator, we find

\(10y\left(\sqrt2\right) \approx 18.748\)

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

x=21, y=17

Step-by-step explanation:

180-42= 138

2x+138=180

2x= 42

x= 21

8y+2+2x=180

8y+2 + 42=180

8y= 136

y= 17

Answer:

x=21, y=68

Step-by-step explanation:

We're given that the quadrilateral on the left is a parallelogram as indicated by the arrow markings on the sides. We're also told that the angle on the right is 42 degrees. So, we can find the bottom right angle in the parallelogram by subtracting 42 from 180, because it forms a straight angle. 180-42 is 138. By the alternate interior angles theorem, 8y+2=138, because 138 is also the angle measure of the opposite corner. we also know that the bottom left angle in the parallelogram is the same as 2x. by the alternate interior angles theorem. Notice how the sides of the parallelogram with two arrow markings are parallel, which means that the bottom left angle and the 42 degree angle are congruent, or have the same measure, because of the parallel lines. This means that 2x=42, and the bottom left angle is 42. We can solve for x and y with simple algebra now. 8y+2=138, 8y=138-2, 8y=136, y=68. 2x=42, x=42/2, x=21. So, x is 21 and y is 68.

Answer:

11. (D) 90 degrees

12. (C) 93

13. (D) 90 degrees

14. (C) 46

Step-by-step explanation:

11. this is a square so each angle is 90 degrees.

12. as each side is the same, we create the equation 9x + 3 = 11x - 17. Solve.

13. With diagonals, MGQ, QGE, QEO, QOM, QMG become 45 degrees, while the intersection of the diagonals become 90 degrees

Hope this answers your question

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Answer:

7:4 that would be the ratio

The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Answer:

-0.5

Step-by-step explanation:

σM=σ/√N

=9/√36

=9/6

=3/2=1.5

Z=(x-μ)/σ/√N

=(19.5-24)/9/√36

=-4.5/1.5=-3

The probability that the sample mean will be larger than 19.5 = -0.5

P(>19.5)=P(Z>-3)= -0.5