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
Leona [35]
3 years ago
11

Each side of an equilateral triangle measure 11 centimeters. To the nearest tenth of an centimeter, what is the length of the al

titude
Mathematics
1 answer:
Orlov [11]3 years ago
3 0
The length of the altitude is 9.5 cm.

The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal).  This gives us a right triangle with leg 5.5 and hypotenuse 11.  We use the Pythagorean theorem:

5.5² + h² = 11²
30.25 + h² = 121

Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75

Take the square root of both sides:
√h² = √90.75
h = 9.5
You might be interested in
Solve for x to the nearest ten
swat32

Answer:

in right angled triangle ABC

by using Pythagoras law

h²=p²+b²

x²=7²+10²

x=√149=12.21cm

5 0
2 years ago
What do I do to figure out this problem:<br>3x+8=26+x
Gnom [1K]
<span><u>3x + 8 = 26 + x</u>

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it.    I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number.  It's the number
that 'x' must be in order for that line at the top to be a true statement.  There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too.  With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem:      </span><span><u>3x + 8 = 26 + x</u>

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

<u>x = 9 </u> .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean.  Let's take the original problem

                   </span><span> <u><span>3x + 8 = 26 + x

</span></u><span>and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense.  14 is not equal to 28 .  The reason that happened
is because we put the wrong number in place of 'x' .  When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
</span><u><span /></u>

</span>

7 0
3 years ago
Read 2 more answers
Which of the x values are solutions to the inequality 4≥2-4x
skad [1K]

Answer:

x = -1/2

Step-by-step explanation:

Given:

Inequality 4 ≥ 2 - 4x

Find:

Value of x

Computation:

4 ≥ 2 - 4x

4x ≥ -2

x ≥ -1/2

x = -1/2

7 0
3 years ago
Pls help only b,d, and f
Leya [2.2K]
Solving for y right?

2y = 3x + 4 - x
2y = 2x + 4
y = 2x + 4 over 2
y = 2 (x + 2) over 2
y = x + 2


y - 3 = 2x - 6 over 2
y - 3 = 2(x - 3) over 2
y - 3 = x - 3
y = x


x - y - 2 = 2(2x + 1)
-y - 2 = 2(2x + 1) - x
-y = 2(2x + 1) - x + 2
y = -2(2x + 1) + x - 2
8 0
3 years ago
Subtract and simplify.
Anestetic [448]
(y^2-7y-5)-(-3y^2+3y-4)
=y^2-7y-5+3y^2-3y+4
=3y^2+y^2-7y-3y-5+4
=4y^2-10y-1

In short, the answer would be 4y^2-10y-1 (Option D).

Hope this helps !

Photon
6 0
3 years ago
Read 2 more answers
Other questions:
  • EFGH is a parallelogram. Find the measure of FG.
    9·1 answer
  • 3) Find the area of JUST the wood portion of the frame. This is called a composite figure.
    6·1 answer
  • (NEED HELP ASAP)Determine whether the situation calls for a survey, an observational study, or an experiment. You want to find n
    15·1 answer
  • C = (F - 32) * 5/9, the letter "F" is known as which of the following?
    9·1 answer
  • Suppose that an individual has a body fat percentage of 14.5% and weighs 167 pounds. How many pounds of her weight is made up of
    8·2 answers
  • The radius is 42 miles, what it the circumference
    14·1 answer
  • A survey of middle schools students found that 78% of the students enjoy playing sports more than watching sports.
    12·1 answer
  • EXERC
    15·1 answer
  • Mason inspects 73.5 phones each day. He must inspect no fewer than 1,470 phones each month. How many days will Mason need to wor
    10·1 answer
  • When Sarah passes a ball on a sidewalk to her friend, the ball bounces off at the same angle that it was thrown. Use the figure
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!