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aivan3 [116]
3 years ago
6

If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Answer:

36 feet

Step-by-step explanation:

I believe this is the answer

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andreyandreev [35.5K]

Answer:

20??? wow I feel stupid I forgot how to do everything

4 0
2 years ago
Which expression is m times m times m times m times m rewritten in exponential form? m Superscript 5 5 m 5 Superscript m m 5.
sukhopar [10]

The expression which is equal to the m times, m times, m times, m times, m rewritten in exponential form as,

m^5

<h3>What is the exponent or power?</h3>

The exponent or power of a number represent the multiplication of the that number to the power times.

Let suppose a number 2 has the power 2. Then it will be equal to,

2^2=2\times2

Similarly, 3 times of number 2 equal to the number 2 with exponent 3.

2\times2\times2=2^3

The expression is m times, m times, m times, m times, m. It can be written as,

m\times m\times m\times m\times m\\

The number m is total 5 time multiply by itself. Thus, the exponential form of the above equation is,

m^5

The expression which is equal to the m times, m times, m times, m times, m rewritten in exponential form as,

m^5

Learn more about the exponents power here;

brainly.com/question/18324331

5 0
2 years ago
The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
Complete the table and then graph the function.<br> y = x + 2 look at photo
Sonja [21]
4,5,9,10





just add two to each number
3 0
2 years ago
What does this mean f(5)=-10
Ghella [55]
You have to find f. F= -2
8 0
3 years ago
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