1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
enot [183]
3 years ago
5

Dr. Black is standing 15 feet from a streetlamp. The lamp is making his shadow 8 feet long. He estimates that the angle of eleva

tion from the tip of his shadow to the top of the street lamp 50 degrees. To the nearest foot, the streetlamp is about

Mathematics
1 answer:
Stella [2.4K]3 years ago
6 0
Check the picture below.

You might be interested in
Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de
Nimfa-mama [501]
Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b(       )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses. 

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
6 0
3 years ago
Read 2 more answers
Pls show full working out
sweet-ann [11.9K]

Answer:

  • Question 1a. i) x=1.8m

  • Question 1a. ii)   Volume=27.6m^3

  • Question 1b) Volume=65.9m^3

Explanation:

<u><em>Question 1 a. i) Find the value of x.</em></u>

         tan(\theta )=\dfrac{opposite\text{ }leg}{adjacent\text{ }leg}

For the smalll triangle you can write:

        tan(\theta )=\dfrac{x}{1m}

For tthe big triangle:

      tan(\theta )=\dfrac{x+2.7m}{2.5m}

Substitute:

        \dfrac{x}{1m}=\dfrac{x+2.7m}{2.5m}

Solve for x:

        2.5x=x+2.7m\\\\2.5x-x=2.7m\\\\1.5x=2.7m\\\\x=2.7m/1.5\\\\x=1.8m

<u><em>Question 1a ii) Find the volume of the frustrum</em></u>

  • Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m

Formula:

         Volume=(1/3)\pi \times radius^2\times height

Substitute:

         Volume=(1/3)\pi \times (2.5m)^2\times 4.5m=9.375\pi m^3

  • Find the volume of a cone with heigth = 1.8m and radius = 1m

        Volume=(1/3)\pi \times (1m)^2\times 1.8m=0.6\pi m^3

  • Subtract the volume of the small cone from the volume of the big cone

        Volume\text{ }of\text{ }frustrum=9.375\pi m^3-0.6\pi m^3=8.775\pi m^3\approx 27.6m^3

<u><em>Question 1b. Calculate the volume of the bin</em></u>

<u>i) Upper frustrum</u>

This is the same frustrum from the equation of above, thus ist volume is 27.6m³.

<u>ii) Lower frustrum</u>

            \dfrac{x}{2.0m}=\dfrac{x+2.4m}{2.5m}

           2.5x=2(x+2.4m)\\\\2.5x=2x+4.8m\\\\0.5x=4.8m\\\\x=9.6m

        Volume=(1/3)\pi \times (2.5m)^2\times (9.6m+2.4m)-(2.0m)^2\times (9.6m)

       Volume=38.3m^3

<u>iii) Add the volume of the two frustrums</u>

  • Volume=27.6m^3+38.3m^3=65.9m^3

6 0
3 years ago
What is the rectangular form of z = 6(cos((3pi)/4) + i sin((3pi)/4))
kvv77 [185]

Answer:

Z= -3 square root 2 + 3i square root 2

Step-by-step explanation:

4 0
3 years ago
BRAINIEST TO WHOEVER RIGHT
victus00 [196]

Answer:

8

Step-by-step explanation:

To find the median, look at the line in the box. it lines up with 8 on the number line. Therefore, 8 is the median.

4 0
3 years ago
Identifying the Constant Rate of Change from a Table
Dmitry [639]

Answer:

the more you know

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • How do I show the work to figure out, how many inches are in 4.2 meters
    15·1 answer
  • Susie gets paid $5 for each bracelet and $15 for each necklace she sells. If Susie made $75 last week write an equation which re
    7·1 answer
  • A hotel house keeper cleaned 1/3 on
    5·1 answer
  • If a cone has a 5inch radius and a 12inch height what is the volume of the cone
    13·2 answers
  • Find the area, help please
    5·1 answer
  • If 4/5 litter of gas runs 12Km how long will 20 litter of gas run?
    5·1 answer
  • cho hs y=x^3/3-x^2+mx-1 m là tham số thực. có bnh gt nguyên của m thuộc (-10;10) để hs đb trên (-vô cùng;2)
    7·1 answer
  • How many gallons is equivalent to 28 quarts? There are 4 quarts
    9·1 answer
  • Please help it’s very cunning
    5·1 answer
  • You are a male who has a high school diploma. You plan to attend college and earn a bachelor’s degree. When you graduate from co
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!