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3 years ago

I need help asap pls help me

Mathematics

1 answer:

Alchen [17]3 years ago

4 0

Answer:

36 ft

Step-by-step explanation:

The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:

$x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26$

Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!

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Rom4ik [11]

Answer:

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5 0

3 years ago

Read 2 more answers

There are some goats, cows, and sheep on a farm. 2/5 of the animals were goats. There are 3 times as many sheep as cows. If ther

svetlana [45]

Answer:

180

Step-by-step explanation:

First thing to do is to get all the animals in terms of cows, since that is our main unknown. All the other animals' numbers are based on cows. So let's call cows "x". Then sheep is 3 times the number of cows, so sheep is 3x. The number of goats is 45 more than the number of cows, so goats is x + 45. Let's say, for the sake of ease, that the number of animals is "a".

Here's what we have so far:

# of animals: a

# of cows: x

# of sheep: 3x

# of goats: x + 45

We are told that 2/5 of the animals are goats. In an equation, that is:

2/5 (animals) = goats, where the word "of" means to multiply, and the word "are" is the equals sign. Filling in from our key above:

$\frac{2}{5}a=x+45$

That says that 2/5 of the animals are goats when goats is x + 45.

If 2/5 of the animals are goats, then 3/5 of the animals have to be cows and sheep. In an algebraic equation:

$\frac{3}{5}a=x + 3x$ .

Let's go back to the first equation and get rid of the fraction by multiplying everything by 5. When we do that we get

2a = 5(x + 45) so

2a = 5x + 225

Now let's get rid of the fraction in the second equation by multiplying everything by 5. When we do that we get

3a = 5(x + 3x) or

3a = 5(4x) so

3a = 20x. Solve that equation for a.

$a=\frac{20}{3}x$

Now that we have a in terms of x, we can sub that value in for a in the first equation to solve for x, the number of cows:

$2(\frac{20}{3}x)=5x+225$ and, simplifying:

$\frac{40}{3}x=5x+225$ and

$\frac{40}{3}x-5x=225$ . Get rid of the fraction here by multiplying everything by 3:

40x - 15x = 675 and

25x = 675 so

x = 27

That means that there are 27 cows.

Sheep is 3 times that, so there are 81 sheep.

Goats is 45 more than that, so there are 72 goats.

The total number of animals then is 27 + 81 + 72 which is 180. Let's check that to see if the number of goats, 72, is 2/5 of 180.

$\frac{2}{5}(180) = 72$

So we got it! Yay! That was hard!!

7 0

3 years ago

3. Susan plans to order concert tickets that cost $45 each. She will also have to pay a $10

konstantin123 [22]

Answer:

The total amount of money Susan must pay if she orders 5 tickets is $235.

Step-by-step explanation:

Simply plug in the number of tickets!

45(5) + 10 = $235

7 0

3 years ago

Read 2 more answers

You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres

Colt1911 [192]

9514 1404 393

Answer:

rectangle; parallelogram with 90° angle
150 feet
$40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

A+C = (3, 0) +(-2, 10) = (1, 10)

B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

2. Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

(30 squares)(5 ft/square) = 150 ft . . . perimeter

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0

3 years ago

Divison i need help with that

fiasKO [112]

Answer:

K What's the problem?

Step-by-step explanation:

7 0

3 years ago