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
VikaD [51]
4 years ago
14

A kite is flying 99 ft off the ground, and it's strong is pulled taut. The angle of elevation of the kite is 41°. Find the lengt

h of the string. Around your answer to the nearest tenth

Mathematics
1 answer:
Luba_88 [7]4 years ago
7 0

Answer:

the length of the string=150.9

Step-by-step explanation:

height of a kite=99 ft

angle of elevation =41

use  formula

sin 41= opposite/hypotenuse( opp is the elevation, hypotenuse is the string)

sin 41 = 99/hyp.

hyp.=99/sin41

hyp= (99)/(0.65605902)

hyp.=150.9( rounded to the nearest tenth)

You might be interested in
A boat costs $12,250 & decreases in value by 11% per year how much will the boat be worth after 4 years
kirill115 [55]
So it decreases by 11% which means by the next year it's worth 89% of the original price, write 89% like a decimal. then put it to the power of 4 (4 years) and multiply by the original number
.89 ^ 4 * 12250 = 7685.92
5 0
4 years ago
A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.
tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

<u />g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)<u />

<u />

<u>Part C</u>

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0
3 years ago
PLEASE HELP LAST TWO QUESTIONS, I USED ALL MY POINTS TO POST THIS PLEASE PLEASE PLEASE HELP VERY IMPORTANT
Radda [10]
<span>10.
if we were to subsitute the points and graph the equation we would notice that the shape is the same for both: a 45 degree angle line that goes upleft and up right
the graph of y=|x| looks like a right angle corner that is facing up that is ballancing on the point (0,0)
the graph of y=|x|-4 is the same except that the graph is shifter 4 units to the right ie. the point ofo the graph/rightangle is on point (4,0)




14.
slope intercept form which is y=mx+b
m=slope b=y intercept
m=4/3
y=4/3x+b
one given solution/point is (9,-1)
one solution is x=9 and y=-1 so subsitute and solve fo b
-1=4/3(9)+b
-1=36/3+b
-1=12+b
subtract 12 from both sides
-11=b
the equation si y=4/3x-11
see which one converts to the correct form
after trial and error we find that y-1=4/3(x-9) is the answer
</span>
8 0
3 years ago
Factor the expression. k2 – 100h2 (k 10h)(k 10h) (k – 10h2)(k 10) (k 10h)(k – 10h) h2(k 10)(k – 10)
Mars2501 [29]
Use\ a^2-b^2=(a-b)(a+b)\\\\k^2-100h^2=k^2-10^2h^2=k^2-(10h)^2=(k-10h)(k+10h)
3 0
3 years ago
Read 2 more answers
For Problems 11-12, expand the expressions using the Distributive Property. Then simplify the expressions. 12. 9(3y-5) ​
Aleonysh [2.5K]

Answer:

27y-45

Step-by-step explanation:

9(3y-5)=27y-45

6 0
3 years ago
Other questions:
  • Hugo and Koby are measuring the heights of plants in biology class.
    15·2 answers
  • We have seen how to convert specified odds from a "fair bet" into the gamblerâs belief about the likelihood of an event happenin
    10·1 answer
  • If a triangle has sides of 14,48, and 50 units respectively what type of triangle is it
    5·1 answer
  • Idk my little sister asked me this question but idk how to answer it
    15·2 answers
  • WHAT INSTRUMENTS CAN BE FOUND INSIDE RACE CARS TO ASSIST THE DRIVERS DURING THE RACE
    8·1 answer
  • Give two ways to x+9 algebraic expression in words
    14·2 answers
  • I rlly need help with this gr 11 math problem
    11·1 answer
  • Help me answer question 8a and b, and I’ll give u 10 points lol
    5·1 answer
  • Find the m GEOMETRY 9th:)
    12·1 answer
  • What is 453,605 rounded to the nearest thousand
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!