Find the length of LM. Show your work.

Answer:

2698 yd^2

Step-by-step explanation:

2·(22x25 + 22x17 + 25x17) = 2698 yd^2

SA = 2(LW) + 2(LH) + 2(HW)

Let L = Length

Let W = Width

Let H= Height

Answer:

Choice C

Step-by-step explanation:

Using the Pythagorean theorem, you can find that the length of the hypotenuse is:

[tex]\sqrt{3^2+5^2}=\\\\\sqrt{9+25}=\\\\\boxed{\sqrt{34}}[/tex]

Hope this helps!

Answer:

[tex]c=\sqrt{34}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem (a^2 + b^2 = c^2), you can find the hypotenuse

Begin by plugging in 3 into a and 5 into b.

3^2 + 5^2 = c^2

9 + 25 = c^2

34 = c^2

Then, take the square root of both sides.

[tex]\sqrt{34} =\sqrt{c^{2} }[/tex]

[tex]c=\sqrt{34}[/tex]

Answer:

3/11 for two red balls

2/11 for two green balls

Step-by-step explanation:

6 red and 5 green balls

Answer:

3/11

2/11

Step-by-step explanation:

Answer:

3 minutes

Step-by-step explanation:

We can use ratios to solve

3 blocks           1 block

----------------- = --------------

9 minutes         x minutes

Using cross products

3 * x = 9*1

3x = 9

Divide each side by 3

3x/3 = 9/3

x = 3

So the right answer is 3.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

C) a quadrilateral, because angle C and angle X are acute

Step-by-step explanation:

It is a quadrilateral because angle C and angle X are acute angles and not right angles option third is correct.

It is defined as the four-sided polygon in geometry having four edges and four corners. It has two pairs of congruent sides and one pair of opposite congruent angles.

From the Pythagoras theorem:

[tex]14^2=12^2+8^2[/tex]

196  ≠ 208

The angles C and X are not right angles since angles C and X are congruent and acute angles.

Thus, it is a quadrilateral because angle C and angle X are acute angles and not right angles option third is correct.

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Answer:

Stan needs about 50 of the 39 cm x 39 cm tiles

or about 155 of the 18 cm x 27 cm tiles

Step-by-step explanation:

Since we are asked to consider only matters of area, we need to calculate first, the area of the patio:

Patio area = 3 m x 2.5 m = 7.5 m^2

Now we consider what surface (in square meters - m^2) each type of tiles cover:

a) for the 39 cm x 39 cm tiles: 0.39 m x 0.39 m = 0.1521 m^2

b) for the 18 cm x 27 cm tiles: 0.18 m x 0.27 m = 0.0486 m^2

Therefore, to cover the area of the patio, the number of tiles type "a" needed is given by the quotient:

7.5 m^2 / 0.1521 m^2 = 49.3096  (about 50 tiles)

while for type "b" tiles the quotient gives:

7.5 m^2 / 0.0486 m^2 = 154.32  (about 155 tiles)

Answer:

B(3,3)

Step-by-step explanation:

Midpoint = (2,5)

A = (x₁,y₁) = (1,7)

M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2})[/tex]

M(2,5) = [tex](\frac{1+x2}{2} , \frac{7+y2}{2} )[/tex]

Writing the equations separately for convenience

1) [tex]\frac{1+x2}{2} = 2[/tex]  

=> 1+x2 = 4

=> x₂ = 3

2) [tex]\frac{7+y2}{2} =5[/tex]

=> 7+y2 = 10

=> y₂ = 3

So, the coordinate is,

B = (x₂,y₂) = (3,3)

Answer:

(3,3)

please see the attached picture for full solution

hope it helps..

Good luck on your assignment

Answer:

-3

Step-by-step explanation:

[tex]f(0)=0^2=0 \\\\g(0)=0-3=-3[/tex]

Hope this helps!

Answer:

45.25 yards

Step-by-step explanation:

Answer:

[tex]x=-\frac{1}{2},-3[/tex]

Step-by-step explanation:

Answer:x=-3,-1/2

Step-by-step explanation:

Multiply 2and 3=6

Multiples are 6an1

2x2+x+6x+3=0

X(2x+1)+3(2x+1)=0

(X+3)+(2x+1)=o

X+3=0 x=-3

2x+1=0 x=-1/2

Answer:

Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.

Answer:

50

Step-by-step explanation:

its simple just the degrees is equal orr close to that

Answer:

B

Step-by-step explanation: If you look at the graph, the only graph with (0,0) is B

Answer:

B

Step-by-step explanation:

Answer:

(C)Converting to a common denominator

Step-by-step explanation:

Given some of the steps in the derivation of the quadratic formula below:

[tex]\text{Step 3:} -c + \dfrac{b^2}{4a}=a(x^2+ \dfrac{b}{a}x+ \dfrac{b^2}{4a^2})\\\\\text{Step 4a:} -c + \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2\\\\\text{Step 4b:} \dfrac{-4ac}{4a}+ \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2[/tex]

Step 4b is derived from Step 4a by converting the left-hand side to a common denominator 4a.

Therefore, that which best explains or justifies Step 4b is:

(C)Converting to a common denominator

Answer:

C

Step-by-step explanation:

lol

The expression that is equivalent to √-12 is √12i

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation[tex]i^{2}=-1}[/tex] every complex number can be expressed in the forma + bi, where a and b are real numbers.

Given here,  √-12= √12×√-1

                            = √12i

Hence, The expression that is equivalent to √-12 is √12i

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Answer:

Step-by-step explanation:

The shape described in question is a square overlaid with two quarter circles(a semi circle)

Area of the figure = Area of the square + area of the semi circle

Area of the figure = [tex]L^{2}+\frac{\pi r^{2} }{2}[/tex]

L = length of a side of the square = 12in

r is the radius of the semi circle = 6in

Area of the figure = [tex]12^{2} + \frac{36\pi }{2} }\\[/tex]

Area of the figure = [tex]144+18\pi[/tex] = 200.55in²

Since the shaded portion is a square;

percent of the total area is shaded = area of the square/total area * 100%

percent of the total area is shaded = 144/200.55* 100

percent of the total area is shaded= 71.8%

Answer:

Step-by-step explanation:

If 2 angles are complementary, that means that they add up to 90 degrees.

The angle complementary to a 30-degree angle has to measure 60 degrees. D is your choice.

Answer:

A=314.16cm2

Step-by-step explanation:

A=πr2 this is the formula

Answer:

3.142cm^2

Step-by-step explanation:

A=πr^2

A=3.142×10^2

A=3.142×100cm^2

A=314.2cm^2

Answer:

There are 12 choices for the blue ribbon, 11 choices for the red and 10 choices for yellow so the answer is 12 * 11 * 10 = 1320.

9514 1404 393

Answer:

  34.44

Step-by-step explanation:

The distance formula can help you find the lengths of the diagonal sides.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  DO = √((6 -0)^2 +(0 -7)^2) = √(36 +49) = √85

  OG = √((3 -6)^2 +(-4 -0)^2) = √(9 +16) = 5

The length of NG is 3 -(-3) = 6.

The perimeter is the sum of the side lengths:

  P = DI +IN +NG +GO +OD = √85 +5 +6 +5 +√85 = 16 +2√85

  P ≈ 34.43909 ≈ 34.44 . . . units

Answer:

6 hours

Step-by-step explanation:

What we must do is calculate the speed of each one,

Melissa in one hour plants 10 trees, that is 10/1 is her speed.

Jane in two hours plants 17 trees, that is 17/2 is her speed.

Now, we want to know the time it takes to plant 11 trees, so the sum of the previous speeds is equal to 111 / x

10/1 + 17/2 = 111 / x

18.5 = 111 / x

x = 111 / 18.5

x = 6

Which means that in 6 hours between the two they can plant 111 trees

Answer:

Brett can afford 5 books.

Step-by-step explanation:

each book is $4 and an additional charge of $2 for shipping.

4 + 2 = 6

6 x 5 = 30

brett will spend exactly $30

Answer:

7.81%

Step-by-step explanation:

First, you have to calculate the net earnings by calculating the 80% of the gross income:

gross income= $2,400

net earnings= $2,400*80%= $1,920

Then, you have to calculate the percentage that represents the utility bills spending from the net earnings by dividing $150 by the net earnings and multiplying for 100:

($150/$1,920)*100= 7.81%

According to this, the answer is that 7.81% of Terry's net earnings are spent on utilities.

Answer:

7.8

Step-by-step explanation:

Answer:

The present age of Joyal is 14 years.

The present age of Joyal's mother is 42 years

Step-by-step explanation:

Let J denotes the age of Joyal

Let M denotes the age of Joyal's mother

The present age of Joyal’s mother is three times the present age of joyal.

Mathematically,

M = 3J

After 5 years their ages will add up to 66

Mathematically,

(M + 5) + (3J + 5) = 66

M + J + 10 = 66

M + J = 66 - 10

M + J = 56

But we know that M = 3J

3J + J = 56

4J = 56

J = 56/4

J = 14 years

So the present age of Joyal is 14 years.

M = 3J

M = 3(14)

M = 42 years

So the present age of Joyal's mother is 42 years.

Answer:

the answer is B

Step-by-step explanation:

based on coordinate (3,2) :

y ≥ 4/3(3) - 2

2 ≥ 2

based on coordinate (-3,-6)

y ≥ 4/3(-3) -2

-6 ≥ -6

* the symbol is ≥ because the shaded region is above the line

Answer:

16

Step-by-step explanation:

the correct answer is yes. 3/8 is the irrational.

step by step explaination: Assuming you meant, then it's irrational. The square root of any Natural Number which is not a perfect square is irrational. 8 is not a perfect square so is irrational.

I am glad to help you!!!!!!!!!!!!

Answer:

(a) 0.4 or 40%

(b) 0.1 or 10%

Step-by-step explanation:

(a) If you get 4 "ones" after 10 rolls of the die, the proportion of the rolls that resulted in "ones" is:

[tex]p=\frac{4}{10}\\ p=0.4[/tex]

(b) If you get 2 "ones" after 20 rolls of the die, the proportion of the rolls that resulted in "ones" is:

[tex]p=\frac{2}{20}\\ p=0.1[/tex]

Answer:

As y = mx + c (standard form)

Thus relating the equation , we get

m = 1

c = -6

Answer:

m = 1

c = -6

Step-by-step explanation:

m is the gradient of the line.

c is the intercept of the line.

The formula for it is : y = mx+c

so m = 1

c = -6

Hope this helps

Answer:

It was a 18.5% Tip

If bill for a meal was $33.75. The customer left $40.00. then 15.625 % is the percentage of the bill was the tip

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The bill for a meal was $33.75.

The customer left $40.00.

We need to find the percentage of tip left on the bill.

40-33.75

6.25

Now we need to find 6.25 is what percentage of 40

40x=6.25

x=6.25/40

x=0.15625

Now multiply with 100

0.156×100=15.625

Hence, 15.625 is the percentage of the bill was the tip.

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Answer: $10988.25

Step-by-step explanation:

From the question, we are told that for the Black Panther trip 420 students were scheduled to go and 15% more students were selected. This means that the total number of students that are going will be:

= 420 + (15% × 420)

= 420 + (0.15 × 420)

= 420 + 63

= 483 students

Since each administration ticket cost 22.75 dollars. The total amount paid for all tickets purchased will be:

= 483 × $22.75

= $10988.25