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quester [9]
3 years ago
9

Lily paints 3 trees for a wall mural the middle tree is 2 1/2 ft tall the tree on the left is 3/4as tall as the middle tree the

tree on the right is 1 3/4 times as tall as the middle tree how tall is each tree
Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
8 0

Answer:

Middle tree = 2\frac{1}{2} ft

Left tree = 1\frac{3}{12} ft

Right tree = 4\frac{3}{8}ft

Step-by-step explanation:

we are told that:

middle tree = 2 1/2 feet

Left  tree = 3/4 times the height of the middle tree

Left tree = 3/4 × 2 1/2 = \frac{3}{4} * \frac{5}{3} = 15/12 = 1\frac{3}{12} ft

right tree = 1 3/4 times the height of the middle tree

right tree = 7/4 × 5/2 = 35/8 = 4\frac{3}{8}ft

raketka [301]3 years ago
5 0

Answer:

Middle: 2.5  ft

Right: 4,375  ft

Left: 1,875 ft

Step-by-step explanation:

We know that a tree in the middle is 2.5 feet tall.

Now the tree on the left measures 3/4 of the tree in the middle, therefore:

2.5 * 3/4 = 1.875

Which means that the tree on the left is 1.875 feet tall.

Finally the tree on the right 1 3/4, which would be 1.75 times the tree in the middle, therefore:

2.5 * 1.75 = 4.375

Therefore the tree on the right is 4.375 feet tall.

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Ivenika [448]

Answer:

84+n=342

Step-by-step explanation:

you would subtract 84 from 342 to find the width since it is perimeter.

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3 years ago
In a certain constituency, there are 8 500 voters and
babymother [125]

First let's find how much is 15% of 8500 voters.

To do that, we can multiply 15 by 8500 and then divide by 100.

Work: 15 x 8500 = 127500

127500/100 = 1275

Therefore 15 percent of 8500 is 1275.

Then, we subtract 1275 from 8500 to find the amount of people who did vote.

8500 - 1275 = 7,225

Thus, 7,225 people voted while 1,275 people did not.

8 0
3 years ago
Read 2 more answers
Find x so that the points (x,x+1), (x+2,x+3) and (x+3,2x+4) form a right-angled triangle.
azamat

Let <em>a</em>, <em>b</em>, and <em>c</em> be vectors each starting at the origin and terminating at the points (<em>x</em>, <em>x</em> + 1), (<em>x</em> + 2, <em>x</em> + 3), and (<em>x</em> + 3, 2<em>x</em> + 4), respectively.

Then the vectors <em>a</em> - <em>b</em>, <em>a</em> - <em>c</em>, and <em>b</em> - <em>c</em> are vectors that point in directions parallel to each of the legs formed by the triangle with these points as its vertices.

If this triangle is to contain a right angle, then exactly one of these pairs of vectors must be orthogonal. In other words, one of the following must be true:

(<em>a</em> - <em>b</em>) • (<em>a</em> - <em>c</em>) = 0

<em>or</em>

(<em>a</em> - <em>b</em>) • (<em>b</em> - <em>c</em>) = 0

<em>or</em>

(<em>a</em> - <em>c</em>) • (<em>b</em> - <em>c</em>) = 0

We have

<em>a</em> - <em>b</em> = (<em>x</em>, <em>x</em> + 1) - (<em>x</em> + 2, <em>x</em> + 3) = (-2, -2)

<em>a</em> - <em>c</em> = (<em>x</em>, <em>x</em> + 1) - (<em>x</em> + 3, 2<em>x</em> + 4) = (-3, -<em>x</em> - 3)

<em>b</em> - <em>c</em> = (<em>x</em> + 2, <em>x</em> + 3) - (<em>x</em> + 3, 2<em>x</em> + 4) = (-1, -<em>x</em> - 1)

Case 1: If (<em>a</em> - <em>b</em>) • (<em>a</em> - <em>c</em>) = 0, then

(-2, -2) • (-3, -<em>x</em> - 3) = (-2)×(-3) + (-2)×(-<em>x</em> - 3) = 2<em>x</em> + 12 = 0   ==>   <em>x</em> = -6

which would make <em>a</em> - <em>c</em> = (-3, 3) and <em>b</em> - <em>c</em> = (-1, 5), and their dot product is not zero. Then the triangles vertices are at the points (-6, -5), (-4, -3), and (-3, -8).

Case 2: If (<em>a</em> - <em>b</em>) • (<em>b</em> - <em>c</em>) = 0, then

(-2, -2) • (-1, -<em>x</em> - 1) = (-2)×(-1) + (-2)×(-<em>x</em> - 1) = 2<em>x</em> + 4 = 0   ==>   <em>x</em> = -2

which would make <em>a</em> - <em>c</em> = (-3, -1) and <em>b</em> = (-1, 1), and their dot product is also not zero. The vertices are the points (-2, -1), (0, 1), and (1, 0).

Case 3: If (<em>a</em> - <em>c</em>) • (<em>b</em> - <em>c</em>) = 0, then

(-3, -<em>x</em> - 3) • (-1, -<em>x</em> - 1) = (-3)×(-1) + (-<em>x</em> - 3)×(-<em>x</em> - 1) = <em>x</em> ² + 4<em>x</em> + 6 = 0

but the solutions to <em>x</em> here are non-real, so we throw out this case.

So there are two possible values of <em>x</em> that make a right triangle, <em>x</em> = -6 and <em>x</em> = -2.

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3 years ago
bill can paint a room in 6 hours, but bills father could do it in four. if the two work together, how long would it take them to
aleksley [76]

Answer:

3 hrs thats my anwser

Step-by-step explanation:

brainliest if right

3 0
3 years ago
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Ede4ka [16]

Answer:

x = 3

Step-by-step explanation:

9x - 5 = 22

Add 5 to both sides

9x = 27

Divide both sides by 9

x = 3

4 0
3 years ago
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