can someone help me and solve the following equation showing work please?
thank you!

Answer:

m<A > m<B > m<C

Step-by-step explanation:

In triangles, the measure of angles is proportional with the side length's they see,

The angle with the biggest the biggest measure sees the biggest side length

in triangle ABC the side lengths are given as

BC = 14, CA = 13 and AB = 5

from this, we can conclude:

m<A > m<B > m<C

The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

The perimeter is given as:

P =  15 + 2x + 7 + 15 + 2x + 7

Collect like terms

P =  2x + 2x + 7 + 15 +  15  + 7

Evaluate the like terms

P = 4x + 44

The area of the garden is given as:

A = 15(2x + 7).

Expand

A = 30x + 105

Manual's expression of the area is 30x + 7

Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105

The side length of Sasha's design is:

L = 3x + 5 in

So, the area is:

A = (3x + 5)^2

Expand

A = 9x^2 + 16x + 25

The difference between both areas is:

Difference = 9x^2 + 16x - 30x + 25 - 105

Evaluate

Difference = 9x^2 - 14x - 80

Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80

This is calculated using:

P = 4L

So, we have:

P = 12x + 20

The difference between both perimeter is:

Difference = 12x - 4x + 20 - 44

Evaluate

Difference = 8x - 24

Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

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Explanation:

Check out the diagram below to see what's going on.

Use the pythagorean theorem to find b

[tex]a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\[/tex]

The length is roughly 3.7 feet.

Answer:

Down payment

Step-by-step explanation:

Down payment is the amount you pay for the purchase of a house that decreases the amount of the loan. It decreases the amount of interest paid over the lifetime of the loan

The largest possible value of b is 10, since for some x = x₀ it could be the case that f(x₀) = -5 and g(x₀) = -2; then f(x₀) g(x₀) = -5 × -2 = 10.

Answer:

a higher percentage of 8th graders than 7th graders prefer history.

a higher percentage of 8th graders than 7th graders prefer math/science.

Step-by-step explanation:

Answer:

Anything more than $13

Step-by-step explanation:

The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m

The formula for calculating the circumference of a circle is given as:

C = 2pi r

r is the radius of the circle

a) r = 80/2 = 40cm

C = 2(3.14)(40)
C = 251.20 cm

Hence the unicycle moves a distance of 251.20cm if the wheel turn once

b) Number of revolution * 2pi r = distance covered

n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314

n =32

Hence the wheel must rotate 32 times to cover a distance of 100m

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Step-by-step explanation:

Formula:

[tex]v = \pi \:r {}^{2} \:h[/tex]

radius is 4.5 because 9÷2=4.5

so it would be

[tex]v = \pi \times \:4.5^{2} \times 7[/tex]

volume = 445.3 units³

Answer:

-1

Step-by-step explanation:

m= -1

Slope Formula: (y2 - y1) / (x2 - x1)

Point 1 = (4, 3)

Point 2 = (11, -4)

Slope = (-4 - 3) / (11 - 4) = -7 / 7 = -1

Answer: slope = -1

Hope this helps!

The total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the number of adult tickets is x

So the number of student tickets is (x-73)

x + (x-73) = 337

2x—73 = 337

2x = 410

x = 205 tickets

Thus, the total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.

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1/2b+2≤8

1/2b≤6

b≤12

Any number less than or equal to 12 can solve the equation.

Answer

[tex]b\leq 12[/tex]

Step-by-step explanation

You would subtract two from the eight and that would get you six, and the reciprocal of 1/2 is two so technically you would multiply the 6 by two and that gets you 12.

Hope this helps any!

The expected value of N will be given as:- Money =  N² -  5.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given in the question that:-

So from the given information, the expression will be:-

N be a random variable that corresponds to your net winnings in dollars.

Money =  N² -  5.

From the above equation, we can calculate the amount earned by the spinner number that comes.

Therefore the expected value of N will be given as:- Money =  N² -  5.

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Answer:

11.86

Step-by-step explanation:

Answer:

  9.  AB = (40/3)√3

  10.  BC = (20/3)√3

Step-by-step explanation:

The ratios of side lengths in the "special" 30-60-90° triangle are ...

  1 : √3 : 2

__

If D is the point where the altitude meets AB, then we have for the left triangle ...

  CD : AD : CA = 1 : √3 : 2 = 10 : 10√3 : 20

and, for the right triangle ...

  BD : CD : BC = 1 : √3 : 2 = (10/√3) : 10 : (20/√3)

and for the large triangle ...

  BC : CA : AB = 1 : √3 : 2 = (20/√3) : 20 : (40/√3)

__

The hypotenuse of ΔABC is AB, shown above to be ...

  AB = 40/√3 = (40/3)√3

__

The shorter leg of ΔABC is BC, shown above to be ...

  BC = 20/√3 = (20/3)√3

Answer:

$290

Step-by-step explanation:

3x50=$150

6x30=$180

180+150=$330

330-40=$290

The expansion of the series is 2 + 6 + 8 + 10

The summation expression is given as:

[tex]\sum\limits^4_{n=1} 2(n + 1)[/tex]

When n = 1, we have:

2(n + 1) = 2(1 + 1)  = 4

When n = 2, we have:

2(n + 1) = 2(2 + 1)  = 6

When n = 3, we have:

2(n + 1) = 2(3 + 1)  = 8

When n = 4, we have:

2(n + 1) = 2(4 + 1)  = 10

So, we have:

[tex]\sum\limits^4_{n=1} 2(n + 1) = 2 + 6 + 8 + 10[/tex]

Hence, the expansion of the series is 2 + 6 + 8 + 10

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Answer:

The correct option is actually d. 4 + 8 + 16 + 32

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Subtract 3 2/4 from 2 3/4

- Multiply 3 and 4 to get 12.

- Add 12 and 2 to get 14.

- Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.

- Multiply 2 and 4 to get 8.

- Add 8 and 3 to get 11.

- Least common multiple of 2 and 4 is 4. Convert 7/2 and 11/4 to fractions with denominator of 4

- Since 14/4 and 11/4 have the same denominators, subtract both by subtracting their numerators

- Subtract 11 from 14 to get 3

Answer:

∠V = 32°

Step-by-step explanation:

VW = UV

⇒ Isosceles triangle. So, the angles opposite sides are equal.

∠W = ∠U

∴ ∠W = ∠U = 74°

 Sum of all angles of triangle = 180

74 + 74 + ∠V = 180

       148 + ∠V = 180

                ∠V = 180 - 148

∠V = 32°

Answer:

151 m^2

Step-by-step explanation:

Given,

Height ( h ) = 10 m

Radius ( r ) = 2 m

To find : Surface Area

Here, the shape is cylinder.

Formula : -

Surface area of cylinder = 2πr ( r + h )

Note : -

The value of π is 3.14

Surface area of cylinder

= 2πr ( r + h )

= 2 x 3.14 x 2 ( 2 + 10 )

= 12.56 ( 12 )

= 12.56 x 12

= 150.72

= 151 m^2 ( approximately )

Answer:

632

Step-by-step explanation:

1580*0.4=632

An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .

An expression in math is known to be the putting together of numbers, variables, etc.

For the expression above,

(3a - 2b + 4c) + (3b - 2c) - (a - b - c)

Therefore:

= 3a - 2b + 4c + 3b - 2c - a + b + c

The answer will be = 2a + 2b + 3c

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Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.

Answer:

c = 57 degrees.

Step-by-step explanation:

This is the Alternate Segment theorem:

The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.

So c = 57 degrees.

Answer:

P(not A) = 8/9

Step-by-step explanation:

To write a simple probability, write a fraction. The bottom is all the possibilities, here there are 9. So put a 9 on the bottom. Then on top write how many ways the event can happen. There are 8 ways you can land on "Not A" (that is: B, C, D, E, F, G, H, I) So 8 goes on top. Simplify if possible. 8/9 cannot be simplified.

P(not A) = 8/9

As per the probability of an event, the value of P(not A) is 8/9.

The probability of an event is the chance of happening that particular event.

Given, total number of events in the sample space = 9.

Number of favorable events in that sample space is = 1.

Therefore, the probability P(A) = 1/9.

Now,  P(not A)

= 1 - P(A)

= 1 - 1/9

= 8/9

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Answer:

The election of 1860  established the Democratic and Republican parties as the majority parties in the United States. It also confirmed deep tensions  surrounding slavery and states’ rights between the North and South. Before Lincoln’s inauguration, eleven Southern states seceded from the Union and just after his swearing-in, the Confederate Army fired on Fort Sumter, starting the Civil War.

Answer:

D.94 square centimeters

Step-by-step explanation:

(10×4) + (8×6) + (1/2×6×2)

= 94 cm^2

Answer:

D. 94 square centimeters

Step-by-step explanation:

It mentions the composite figure is made up of three simpler shapes.

Area (figure) = Area (parallelogram) + Area (rectangle) + Area (triangle)