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
jeyben [28]
3 years ago
13

A boat is 104 feet from the base of cliff. If the distance from the top of the cliff to the boat is 26 less than twice the heigh

t of the cliff to the water. Find the height of the cliff. Round to the nearest tenth of a foot if necessary. ​
Mathematics
1 answer:
bearhunter [10]3 years ago
6 0

Answer: h = 68.5, 51.2

Step-by-step explanation:

Draw a right angle triangle. The base is the sea and the line perpendicular to it is the cliff  

The base is the distance of from boat to the cliff is 104

Let the height of the cliff be h.

The hypotenuse, the distance from the top of the cliff to the boat is therefore 2h-26

Pythagoras tells us that  

(2h−26)^2  = 104^2 + h^2

4h^2 − 52h + 289 = 10816 + h^2

3h^2 − 52h − 10527 = 0

h=68.5, 51.2

The other result is negative and therefore not relevant.

If you cannot factorize then solve using the formula.

You might be interested in
Multiply using a special product formula (6x-8) (6x+8)
ANEK [815]

The correct answer is B.

6x*6x=36x

-8*+8=-64

Thus, our equation is 36x-64

Hope this helps!

4 0
3 years ago
Need some figuring out which sentence has one solution,no solution, and infinite solution.
dolphi86 [110]

Answer:

the second one

Step-by-step explanation:

4 0
3 years ago
The product of nine and a number is added to six the result is 24 what is the number
Andru [333]
Hello!

We can make an equation based on what we know

The product of 9 and a number is

9 * x

Added to six

9 * x + 6

Gives the result of 24

9 * x + 6 = 24

Now you solve it algebraically

Subtract 6 from both sides

9 * x = 18

Divide both sides by 9

x = 2

The answer is 2

Hope this helps!
8 0
3 years ago
Which expression shows twice the sum of 8 and a number n?
IRISSAK [1]
Correct Answer: A. 2(n+8).
6 0
3 years ago
The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rain
butalik [34]

Median is just the value that is neither the highest nor the lowest compared with the other values in the set


Mean is just the average of the numbers which is found out by adding up all the numbers then dividing the sum by the number of values in the set

3 0
3 years ago
Read 2 more answers
Other questions:
  • Give 9.7814 correct to the nearest whole number
    9·1 answer
  • A humpback whale swims at 40mph for 30 minutes, then rests for 15 minutes, then swims at 32 mph for 45 minutes. What is the whal
    9·2 answers
  • A decorative gift box is in the shape of a triangular prism as shown. what is the surface area of the box
    8·1 answer
  • Six times the sum of a number and twelve is forty
    6·1 answer
  • An angle passes through the point (-7,-5). What is the compass heading of this angle?
    15·1 answer
  • Solve the system by finding the determinants and using Cramer's Rule:<br> 2x - y = 4<br> 3x + y = 1
    13·1 answer
  • According to the survey. there are more Andoroid (A) users than Apple (I) users
    5·1 answer
  • Solve the system of linear equations by substitution 4x − 2y = 16, 2x + y = 5
    11·1 answer
  • Help me please <br> The ordered pair for 3x + 4y &gt; 17 <br> (-2, -5) (2, 4) (0, -2)
    6·1 answer
  • Can someone please answer this, ill give you brainliest Would be very appreciated.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!