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
Natali [406]
3 years ago
8

Samuel is at the top of the tower and will ride down a zip line to a lower tower. The total vertical drop of the zip line is 40f

t. The zip line's angle of elevation from the lower tower is 11.5° . To the nearest tenth, what is the horizontal distance between the towers?
Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

196.6 feet

Step-by-step explanation:

Draw the right triangle formed by the zip-line.  Use SOH-CAH-TOA to write and solve an equation:

tan 11.5° = 40 / x

x = 40 / tan 11.5°

x = 196.6

You might be interested in
A box contains 3 red pens, 5 blue pens, and 9 green pens. Two pens are drawn out of the box without replacement. What is the pro
Snezhnost [94]
Since there is a total of 17 pens and 2 are removed then there is 15 left. the probability is 5/17 on the first draw and 4/16 (simplified is 1/4) on the second draw.
8 0
3 years ago
Omar has 2 3/4 cups of dough to make dumplings. If he uses 3/16 cups of dough for each dumpling, how many whole dumplings can Om
Llana [10]

Answer: Omar can make 14 whole dumplings.

Step-by-step explanation: Make 2 3/4 an improper fraction. To do this, multiply 2 by the denominator, 4. From this, you get 8. Then add 8 to the numerator, which is 3, and you get 11. Keep the denominator and you'll have 11/4.

To divide fractions, you make 3/16 its reciprocal by basically flipping the fraction so that the numerator becomes the denominator and vise versa, making it 16/3. Then multiply 11/4 and 16/3. 11 x 16 is 176; 4 x 3 is 12. The result is 176/12. Simplify by dividing the numerator and denominator by 4. Your resulting answer should be 44/3. Simplify even further by simple division. Your final answer should be 14 2/3. Discard the 2/3 because Omar needs to make whole dumplings. So the answer is 14.

3 0
4 years ago
Write a quadratic equation in standard form that has two solutions, -5 and 7
nadya68 [22]

Answer:

{b}^{2}  -  {2b}  - 35

Step-by-step explanation:

1) find two factors of c that sum up to -2.

2) 5 and -7 are factors of -35 that sum up to -2.

3) (x+5)(x-7)

4) x+5= 0, x= -5

5) x-7= 0, x= 7

4) the two solutions are -5 and 7.

4 0
4 years ago
Hi! please help me, i don’t understand this.
Andrews [41]

Answer: the rate unit is 1/3

Step-by-step explanation:

What I used was a up right techniqu so you go up 1 and to the right 3 times

5 0
3 years ago
Multiply 7x13 in binary.
scoray [572]

Answer:

1011011

Step-by-step explanation:

The binary multiplication is pretty much like the decimal one, we have just to remember that in the binary system 1+1 = 10.

First, convert 7 and 13 to binary

7 = 111

13 = 1101

now multiply with the same rules as in decimal

        1101x

          111

   --------------

         1101+

       1101  +

     1101

    1111

 -------------

   1011011

The last row of digits are the carry bits.

So 7*13 = 1101*111(binary) = 1011011 (binary)

7 0
3 years ago
Other questions:
  • A box of nails weighs 130 pounds when it is 2/3 full. It weighs 74 pounds when it is 3/8 full. What is the weight of the box?
    15·1 answer
  • The diameter of a circle is 3 what is the circumference ?
    14·2 answers
  • Please answer this correctly
    7·1 answer
  • The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describ
    8·1 answer
  • Yesterday, there were 80 problems assigned for math homework. Harry did 20 % of them correctly. How many problems did harry get
    12·2 answers
  • . In their yearbook photo, students in the chorus stood in four rows with 13 students in each row. How many students are in the
    6·2 answers
  • What does 2^3 x 3^8 equal please help.
    15·2 answers
  • Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a
    15·1 answer
  • Does this graph represent a function? why or why not?
    13·2 answers
  • Two dices are thrown. Find the probabilty of getting:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!