Find the surface area of a right prism whose bases are equilateral triangles with side lengths of 6in. The height of the prism is 10in

Answer:

The value of x = 11 units

Step-by-step explanation:

From the figure we can see a triangle.

A  parallel line to one side cut other two sides.

From this we get the parallel line cut the sides in the same ratio

Find the value of x

From figure we can write,

6/48 = 5/(3x + 7)

6(3x + 7) = 5 * 48

18x + 42 = 240

18x = 240 - 42 = 198

x = 198/18 = 11

The formula for volume of a cylinder is:

V = π r^2 h

r = 3 and h = 6

V = π * 3^2 * 6

V = π * 9 * 6

V = 54π units^3

Answer: I’m gonna say 169... this one confused me a little bit

Answer:  [tex]\bold{d)\quad y = 3 cos (\dfrac{4}{3}x-2\pi) + 2}[/tex]

Step-by-step explanation:

[tex]\text{Period = }\dfrac{2\pi}{B}\\\\\\\dfrac{1}{2}\text{Period = }\dfrac{1}{2}\cdot \dfrac{2\pi}{B}\quad =\dfrac{2\pi}{2B}\\\\\\\text{In the given equation, B = }\dfrac{2}{3}\implies 2B=\dfrac{2\cdot 2}{3}\quad =\dfrac{4}{3}\\[/tex]

The only option that has B = 4/3 is the last one.

Answer:

Step-by-step explanation:

Answer:

54.6

Step-by-step explanation:

Step by step answer.

g / -1 + 10 < 7

-g + 10 < 7

-g  + 10 - 10 < 7 - 10

-g < -3

-g / -1 < -3 / -1

g > 3  --) answer

The reason why the sign is filpped is that because of g is the opposite of -g and if -g was less than 3 then g is greater than 3.

Answer:

[tex]\large\boxed{g>3\to g\in(3,\ \infty)}[/tex]

Step-by-step explanation:

[tex]\dfrac{g}{-1}+10<7\qquad\text{subtract 10 from both sides}\\\\-g<-3\qquad\text{change the signs}\\\\g>3[/tex]

Answer:

both

Step-by-step explanation:

b/c they both divide the square into equidistant segments

Answer: both

Step-by-step explanation:

divide the square into two equal sections

Answer:

8

Step-by-step explanation:

To obtain the second term substitute n = 2 into the recursive rule, that is

f(2) = f(2 - 1) + 5 = f(1) + 5 = 3 + 5 = 8

Answer: 3 points.

Step-by-step explanation: 3 x 2 is 6, plus 3 is 9

Answer: 3, 21, 9, 15, ... any thing you can divide three with

Step-by-step explanation:

Step-by-step explanation:

The odd number whose a factor is the number 3 is  a positive odd multiple of 3:

3, 9, 15, 21, 27, 33, 39, 45, 51, 57, ...

Answer:

1,384 is a rational number.

Answer:

1,384 is a rational number because it can be expressed as the quotient of two integers: 1384÷ 1

Also,

Examples of Irrational:

[tex]\sqrt{2} = 1.41421356237[/tex]

√3 = 1.73205080757

So irrational number are not repeating decimals but they don't have an exact answer either.

* Hopefully this help :) Mark me the brainliest:)!!

Answer:

(-a, -b)

Step-by-step explanation:

It's a square that has both X-axis and Y-axis as lines of symmetry.  We can then conclude the center of the square is at the origin (0,0).

It doesn't matter if the square is straight up (both axis being the mid-points symmetry lines, and one corner in each quadrant) or if it is turned (both axis being the diagonals and the corners are on the axis), in any case if a summit (corner) is defined as (a,b), the opposite corner will be at (-a,-b).

(a,b) could be (2,2), then opposite would be (-2,-2).

(a,b) could be (3,0), then the opposite would be (-3,0).

Answer:

1.

Experimental : [tex]\frac{14}{25}[/tex] or 56%

Theoretical : [tex]\frac{1}{2}[/tex] or 50%

2.

22 customers

Step-by-step explanation:

Theoretical is how many times you'd expect it to land. So for coin flipping it would be either heads or tails. The probability it would land on heads would be 50% because it's either one or the other.

Experimental is how many times you actually landed it. You flipped a coin and it landed on heads 28 times, so you can put that over 50.

Since [tex]\frac{28}{50}[/tex] can be simplified to [tex]\frac{14}{25}[/tex] or 56%, that is the experimental probability.

For the second variation, we can assume that it is direct variation.

[tex]y=kx[/tex]

When [tex]y[/tex] increases, [tex]x[/tex] increases.

Let's solve for [tex]k[/tex].

[tex]11=50k \\ \\ k=\frac{11}{50}[/tex]

We can plug that in to the second equation since we already know how many customers there will be.

[tex]y=0.22k \\ \\ y=0.22(100) \\ \\ y=22[/tex]

Answer:

Step-by-step explanation:

[tex]d-10-2d+7=8+d-10-3d\qquad\text{combine like terms}\\\\(d-2d)+(-10+7)=(d-3d)+(8-10)\\\\-d-3=-2d-2\qquad\text{add 3 to both sides}\\\\-d=-2d+1\qquad\text{add}\ 2d\ \text{to both sides}\\\\d=1[/tex]

Answer:

sure I'll help, 59.99 per hour. it's a pretty solid deal.

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

They are parallel and have the same slope

Answer:

31

Step-by-step explanation:

Distance around Pie = Pi*Diameter

Final answer:

The circumference of a 10-inch diameter cherry pie, using the value 3.1 for Pi, is 31 inches, which is the distance around the pie.

Explanation:

The distance around a circle is known as the circumference. To calculate the circumference of a 10-inch diameter cherry pie, we will use the relationship between the diameter and circumference, which involves Pi (π). The formula for the circumference C is C = π × d, where d is the diameter.

Using 3.1 as the approximate value for π, and with a diameter of 10 inches, we can calculate the circumference as follows:

C = π × d = 3.1 × 10 = 31 inches.

Therefore, the distance around a 10-inch cherry pie from Betsy's Bakery is approximately 31 inches.

Answer:

2, 3, and 4

Step-by-step explanation:

Answer:

The desired equation is y = (-8/3)x + 3.

Step-by-step explanation:

There's no one general form; several different forms apply here.

Seeing that the y-intercept is (0, 3) and that another point on the line is (3, -5), I'd use the slope-intercept form here:  y = mx + b

As we move from the first point to the second, x increases by 3 and y decreases by 8.  Thus, the slope of the line through the two points is

m = rise / run = -8/3.  As before, the y-intercept is (0, 3), so b = 3.

The desired equation is y = (-8/3)x + 3.

The answer is:

The first option:

[tex]3x+y-3=0[/tex]

To find which is the equation of the line shown, we need to find  a line that intercepts the y-axis at 3 and the x-axis and 1.

So,  discarding we have:

[tex]3x+y-3=0[/tex]

Making "x" equal to 0 in order to find the y-axis intercept, we have:

[tex]3(0)+y-3=0[/tex]

[tex]y=3[/tex]

Making "y" equal to 0 in order to find the x-axis intercept, we have:

[tex]3x+0-3=0[/tex]

[tex]3x=3[/tex]

[tex]x=\frac{3}{3}=1[/tex]

So, we have found that the x-axis and y-axis intercept of the equation, are the shown in the picture.

The interception points of the equation and the line are:

For x-axis:

[tex](1,0)[/tex]

For y-axis:

[tex](0,3)[/tex]

Hence, the answer is the first option.

[tex]3x+y-3=0[/tex]

Have a nice day!

If 1 newton pushes it 0.3 meters, it would take 1.5 / 0.3 newtons, or 5 newtons to push it 1.5 meters

Answer: 5 Newton

Step-by-step explanation:

We know that the Hooke's law states that the force 'F' needed to stretch or compress a spring by some distance 'a' is proportional to that distance .

[tex]F=\dfrac{a}{c}[/tex], where c is the spring constant.

Given: A spring has spring constant 0.3 m/newton.

The  force is necessary to stretch the spring by 1.5 meters is given by :-

[tex]\Rightarrow\ F=\dfrac{1.5}{0.3}\\\\\Rightarrow\ F=5[/tex]

Hence, the  force is necessary to stretch the spring by 1.5 meters = 5 Newton .

Answer: 125 squared ft

Area of the big rectangle ⬜️, 15ft x 10ft = 150 square ft

Area of the small square(which is spaced), 5ft x 5ft = 25 squared ft

Area of the give figure, 150squared ft- 25squared ft = 125 squared ft

Answer:

The answer is 125ft

Answer:

First one.

Step-by-step explanation:

The domain of the function in the correct set notation is {x|x∈R x≠-3}.

The domain of a function is the set of all possible inputs that the function can have.

The function is given to be f(x)=1 /(2x+6).

Here, we can see that the function would become not be defined if the denominator becomes zero.

Therefore, the domain should not contain the values which make it not defined.

The value of x for which it becomes zero can be determined below:

2x+6=0

2x=-6

x=-3

Therefore, the domain must contain all values of real numbers except -3.

The domain of the function is found. The domain of the function is the set of all real numbers except -3. It can be written as {x|x∈R x≠-3}.

Therefore, we have found the domain of the function in the correct set notation is {x|x∈R x≠-3}.

Learn more about domains here: https://brainly.com/question/26098895

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Answer:

a = 30

b = 40

C

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3                    

Cross multiply

3a = 2(a + 15)            Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

3a-2a = 30

a = 30

Find B

b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40

Answer:

7/8ths of a pizza.

Step-by-step explanation:

3/8 + 1/2

Find the LCD and then combine.

7/8 in exact form, and 0.875 as a decimal.

Answer:

D) [tex]y=\frac{2}{3}x+\frac{3}{2}[/tex]

Step-by-step explanation:

The given equations are in the form;

[tex]y=mx+b[/tex]

We  can observe from the graph that the line is sloping forward.

This means that the slope must be positive.

[tex]\implies m=\frac{2}{3}[/tex]

Also the y-intercept is positive

This implies that;

[tex]b=\frac{3}{2}[/tex]

Hence the equation is [tex]y=\frac{2}{3}x+\frac{3}{2}[/tex]

Answer:

A

Step-by-step explanation:

im pretty sure its 43.96cm

Answer:

F=10

Step-by-step explanation:

Answer:

The father did more.

13/28 needs to be mowed which is 0.4643 of the lawn needs to be mowed.

Step-by-step explanation:

The best way to compare the two is to change them to decimals. That will at least answer who mowed the most.

Father: 2/7 = 0.2857

Son: 1/4 = 0.25

Since the father mowed 2/7 of the lawn, he mowed the most.

You can use the decimals to get the second part.

Together they did 0.25 + 0.2857 = 0.5357

The amount of the lawn left is 1 - 0.5357 = 0.4643

================

If you must have this in fractions then

1/4 + 2/7 = 7/28 + 2*4/28 = 7/28 + 8/28 = 15/28

15/28 = 0.5357 which is just what we got above.

Amount left to do = 1- 15/28 = 13/28

13/28 = 0.4643 which is what we got about.

The answer is:

The third option:

2.7 times as much.

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

[tex]Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h[/tex]

Where,

[tex]r=radius=\frac{diameter}{2}\\h=height[/tex]

We are given the old can dimensions:

[tex]radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm[/tex]

So, calculating the volume, we have:

[tex]Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}[/tex]

We have that the volume of the old can is:

[tex]Volume_{Can}=199.7cm^{2}[/tex]

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

[tex]radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm[/tex]

Calculating we have:

[tex]Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}[/tex]

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

[tex]\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7[/tex]

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!