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4 years ago

HELP NEEDED AND ASAP!!!!! 30 POINTS

Mathematics

1 answer:

liraira [26]4 years ago

4 0

Answer: The answer to question 1 is 180 in. The answer to question 2 is 54 in. sq. And the answer to question 3 is (2,3)

Step-by-step explanation:

To solve question 1, we need to identify the remaining length of the shape. I've done that in an image below. The next step is to add all of those sides together. It would be 20+20+20+20+20+10+10+60 = 180 inches in length.

To solve question 2, all you need to do is follow the formula A = [h(b) x b] /2

Which may look scary but never fear! Written in understandable words it essentially says, multiply the height by the base then divide by 2.

A = (6 x 18) ÷ 2

A = 108 ÷ 2

A = 54 meters squared

For the last question, I'm not sure what the formula is, but I have a way of doing it that isn't too confusing. Simply add the x values and add the y values, then divide them by 2 to get their halve. Now the new x and y values are your midpoint. (Do not add the x + y values, only the x + x and y + y)

See :

-3 + 7 = 4 4 ÷ 2 = 2

8 + (-2) = 6 6 ÷ 2 = 3

So your new coordinates are (2,3)

I hope this helped you understand :)

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Melanie's food bill at a restaurant is $28.45. The sales tax rate is 6%. If she added 20% of the amount for a tip, what is the t

mars1129 [50]

The total cost of the meal would be $36.19

3 0

4 years ago

Linda is twice as old as Vera. Tanya is four less than four times the age of Linda. Their total age is two more than nine times

ryzh [129]

Let the age of Vera be 'x' years

So the age of Linda is '2x' years

Now Tanya is 4 less than 4 times Linda

So age of Tanya = 4(2x) -4 = 8x -4 years

So total age of Vera , Linda & Tanya

= x + 2x + 8x - 4

= 11x - 4

But it is 2 less than 9 times Vera's age

11x - 4 = 9x + 2

11x - 9x = 4+2

2x = 6

x = 3

So Vera's age = 3 years

Linda's age = 2(3) = 6 years

Tanya's age = 8x - 4 = 8(3) - 4 = 24-4=20 years

Tanya is 20 years old.

8 0

3 years ago

A handicap ramp that is 25 feet long coves a ground distance of 22 feet. To the nearest degree, what is the angle of elevation o

bazaltina [42]

Answer:

28.36°

Step-by-step explanation:

The problem represents a right angled triangle as shown in the diagram below.

The length of the handicap ramp is 25 feet.

The side ground distance covered by the ramp is the adjacent of the angle of the triangle and it is 22 feet.

To find the angle of elevation of the incline, we apply SOHCAHTOA:

cos θ = adj / hyp

Therefore:

$cos \alpha = 22 / 25\\\\cos \alpha = 0.88\\\\\alpha = cos^{-1} 0.88\\\\\alpha = 28.36^o$

The angle of elevation of the incline for the handicap ramp is 28.36°.

8 0

3 years ago

What is the value of k?<br> k = ?

nirvana33 [79]

$m^2=4^2+8^2=16+64=80\\
m=\sqrt{80}=4\sqrt5\\\\\\
4^2+k^2=l^2\\
l^2+(4\sqrt5)^2=(8+k)^2\\\\
k^2=l^2-16\\
l^2=64+16k+k^2-80=k^2+16k-16\\\\
k^2=k^2+16k-16-16\\
16k=32\\
\boxed{k=2}


$

8 0

3 years ago

Read 2 more answers

The results of rolling a 6-sided die 120 times are given in the table below.

Bas_tet [7]

Step-by-step explanation:

According to the results of rolling a 6-sided die 120 times, we have:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

Step-by-step explanation:

1. First of all, let's recall what is the difference between experimental and theoretical probability of an event.

The experimental probability is the result of an experiment, and the theoretical probability is based on the mathematical model developed in the theory of probability. In simple words, the most important difference is that the experimental probability is based on what actually happens and the theoretical probability on what is expected to happen.

The accuracy of the results of the experiments depends directly on the sample size of the experiment and the accuracy is greater when the sample size is larger.

For this particular event the theoretical probability is the same for rolling each number of the die, 1/6 or 16.67%

Now, let's complete the answer this way:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

5 0

3 years ago