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BaLLatris [955]
3 years ago
7

Answer please I am in dire need of an answer Please please

Mathematics
1 answer:
balandron [24]3 years ago
5 0
Please round off the answer
Lemme know if it’s wrong

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PLEASE HELP ASAP.
bezimeni [28]

The attached picture has the small triangle, with the tree as one leg of the triangle and the large triangle, with the building as the corresponding leg of that triangle.

In the original picture, the single small line marked in the side are same length (we can call this x) and the double small line marked in the side are of same length (we can call this y).

So as seen in the attached image:

  • Small triangle's hypotenuse (side opposite of 90 degree angle) is x and the base is y.
  • Similarly for the larger triangle, hypotenuse is 2x and base is 2y.
  • Angle labeled a is same for both
  • Also we have 2 right angles as shown

Hence, the triangles are similar and the ratio of their sides are also same.

If we take any side (let's take the hypotenuse) and compute the ratio. We have,

\frac{hypotenuse of small triangle}{hypotenuse of large triangle}= \frac{x}{2x} =0.5. <em><u>This implies that we can multiply 0.5 to any side of larger triangle to get corresponding side of smaller triangle.</u></em>

So, the building height and tree height are corresponding sides. To get height of tree, we multiply 0.5 to 120 to get 60 as the height of the tree.

120*0.5=60 ft

This is the correct answer.

ANSWER: 60 ft


6 0
3 years ago
What is x is greater than or equal to zero
marusya05 [52]

Answer:

Step-by-step explanation:

The only thing you need to do here is to express this statement symbolically:

x ≥ 0

6 0
4 years ago
Write two equivalent ratios 5 and 3
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

10:6

15:9

Ratios sort of work like fractions.

7 0
3 years ago
Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the
Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given h=1+2s where h is the hypotenuse and s is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with h, "is" with =, "1 foot more than" with 1+ and finally "twice the length of the shorter leg" with 2s.

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with L.

I'm going to replace "is" with =.

I'm going to replace "7 feet longer than the shorter leg" with 7+s.

So we have the equation L=7+s.

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: s^2+L^2=h^2.

Let's make some substitutions from above:

s^2+(7+s)^2=(1+2s)^2

Let's expand the powers using:

(a+b)^2=a^2+2ab+b^2

Applying this now:

s^2+(49+2(7)s+s^2)=(1+2(1)(2s)+(2s)^2)

s^2+49+14s+s^2=1+4s+4s^2

Combine like terms on right hand side:

2s^2+49+14s=1+4s+4s^2

Subtract everything on left hand side to get 0 on that side:

0=(1-49)+(4s-14s)+(4s^2-2s^2)

Simplify:

0=(-48)+(-10s)+(2s^2)

Reorder into standard form for a quadratic:

0=2s^2-10s-48

Every term is even and therefore divisible by 2. I will divide both sides by 2:

0=s^2-5s-24

I'm going to see if this is factoroable.

We need to see if we can come up with two numbers that multiply -24 and add up to be -5.

Those numbers are -8 and 3.

So the factored form is:

0=(s-8)(s+3)

This implies that either s-8=0 os s+3=0.

The first equation can be solved by adding 8 on both sides: s=8.

The second equation can be solved by subtracting 3 on both sides: s=-3.

The only solution that makes sense for s is 8 since it can't the shorter length cannot be a negative number.

s=8

L=7+s=7+8=15

h=1+2s=1+2(8)=1+16=17

So the dimensions of the right triangle are:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

6 0
4 years ago
WILL GIVE BRAINLIEST AND 30 POINTS ! √-100 = _ + _ lower case I
salantis [7]

Answer:

±10 i

Step-by-step explanation:

sqrt(-100)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(-1) * sqrt(100)

sqrt(-1) = i

i * ±10

±10 i

3 0
3 years ago
Read 2 more answers
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