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Rzqust [24]
3 years ago
11

A tree Casts a 9 foot shadow at the same time that a person 6 foot tall casts a 4 foot shadow. what is the height of the tree?

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
7 0
6 foot, as the 6 foot person casting a 4 foot shadow provides us with the 3:2 thing:shadow ratio
raketka [301]3 years ago
7 0

Answer:

13.5

Step-by-step explanation:

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caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily look
Sunny_sXe [5.5K]
Check the picture below.

thus then

\bf \begin{cases}
y=100-a\\
y=a\sqrt{3}
\end{cases}\implies 100-a=a\sqrt{3}\implies 100=a+a\sqrt{3}
\\\\\\
100=a(1+\sqrt{3})\implies \boxed{\cfrac{100}{1+\sqrt{3}}=a}
\\\\\\
\textit{what is the altitude \underline{y} then?}\qquad y=100-a
\\\\\\
y=100-\cfrac{100}{1+\sqrt{3}}\implies y\approx 63.39745962156~yards

8 0
3 years ago
Read 2 more answers
8(2x-3)-6x if 3=x and simplify
Rom4ik [11]
Simplify the expression:

8(2x - 3) - 6x = 8×2x - 8×3 - 6x = 16x - 24 - 6x = 10x - 24

for x=3

put value of "x" to the expression:

<u>10×3 - 24 = 30 - 24 = 6</u>
5 0
3 years ago
The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time
cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

1\leq t\geq \sqrt{2}

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

h =20-5t^{2}-----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height h = 15m  

Put height value in equation 1

15 =20-5t^{2}

5t^{2} =20-15

5t^{2} =5

t^{2} =1

t =\pm1

We know that the time is always positive, therefore t=1

when the stuntman is 10m above the ground.

height h = 10m  

Put height value in equation 1

10 =20-5t^{2}

5t^{2} =20-10

5t^{2} =10

t^{2} =\frac{10}{5}

t^{2} =2

t=\pm\sqrt{2}

t=\sqrt{2}

Therefore ,time interval of camera film him is 1\leq t\geq \sqrt{2}

7 0
3 years ago
Is this question a statistical question or a non statistical question : If I
enot [183]

Answer:non statistical

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The house numbers on the north side of Flynn Street are even. In one block, the house numbers begin 1022, 1032, 1042, and 1052.
never [62]

Answer:

  6 houses away

Step-by-step explanation:

You can write down the house numbers and count them:

  1032, 1042, 1052, 1062, 1072, 1082

1082 is the 6th house from where Taylor is.

___

You can also recognize that (1082 -1022)/10 = 60/10 = 6 is the number of houses away from the house at 1022.

4 0
3 years ago
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