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
kotykmax [81]
2 years ago
7

Find the value of xxx in the isosceles triangle shown below.

Mathematics
1 answer:
Ivahew [28]2 years ago
4 0

Answer:

x=10\ units

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The height of an isosceles triangle divide the triangle into two congruent right triangles.

so

Applying the Pythagorean Theorem

(\sqrt{74})^2 =7^2+(\frac{x}{2})^2

solve for x

74 =49+\frac{x^2}{4}

\frac{x^2}{4}=74-49

\frac{x^2}{4}=25

x^2=100\\x=10\ units

You might be interested in
On Monday, a concession stand manager ordered 985 popcorn bags. She splits the bags evenly among 5 concession stands. How many p
VladimirAG [237]

Each concession stand will receive 197 popcorn bags i used a calculator so it is right.

3 0
2 years ago
Read 2 more answers
What is the value of the function at x = 3?<br> Enter your answer in the box.
prohojiy [21]

Answer:

  y = 4

Step-by-step explanation:

The graph passes through the point (3, 4), which means that the value of the function is 4 when x=3.

8 0
2 years ago
0.3(3a-4)-0.05(8a)(-7a)
Anit [1.1K]

Answer:

2.8a²+0.9a - 1.2

Step-by-step explanation:

Given the expression 0.3(3a-4)-0.05(8a)(-7a)

Expand using the distributive law

0.3(3a-4)-0.05(8a)(-7a)

0.3(3a)-0.3(4)-0.05(8a)(-7a)

0.9a-1.2 - 0.05(8a)(-7a)

0.9a - 1.2 + 2.8a²

Rearrange

2.8a²+0.9a - 1.2

Hence the required expression is 2.8a²+0.9a - 1.2

3 0
2 years ago
The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which ine
Ivenika [448]
For this case, the first thing you should do is define a variable.
 We have then:
 x: number of passengers remaining who can board the plane.
 We have as data:
 1) They can board up to 149 passengers
 2) There are 96 passengers currently aboard.
 Writing inequality we have:
 x + 96  \leq  149&#10;
 Answer:
 
An inequality that can be used to determine how many more people can board is:
 
x + 96  \leq  149
3 0
3 years ago
Read 2 more answers
Solve 12^x^2+5x-4 = 12^2x+6
faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

                    12^{x^{2}+5 x-4}=12^{2 x+6}

Since the base on both sides as ‘12’ are the same, we can write it as

                     x^{2}+5 x-4=2 x+6

                     x^{2}+5 x-2 x-4-6=0

                     x^{2}+3 x-10=0

Often, the value of x is easiest to solve by a x^{2}+b x+c=0 by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For a x^{2}+b x+c=0, the values of x which are the solutions of the equation are given by:

                       x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Where, a = 1, b = 3 and c = -10

                       x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}

                       x=\frac{-3 \pm \sqrt{9+40}}{2}

                       x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}

So, the solutions for ‘x’ are

                       x=\frac{-3+7}{2}=\frac{4}{2}=2

                       x=\frac{-3-7}{2}=\frac{-10}{2}=-5

The solutions for ‘x’ are 2 and -5

6 0
2 years ago
Read 2 more answers
Other questions:
  • If a person's eye level is h meters above sea level and he can see d kilometers to the horizon, then d=3.57h. Suppose the person
    14·1 answer
  • if casey walks 5 miles in 40 minutes then casey will walk how far in 70 minutes? round your answer to the nearest tenth of a mil
    10·1 answer
  • A computer is on sale for $1600, which is a 20% discount off the regular price. what is the regular price
    14·1 answer
  • Explain what Event-Driven Programs are (Use all of the following words in your description: Call-back function, on-events, algor
    11·1 answer
  • Can someone please help me with the B part? &lt;3
    9·1 answer
  • BRAINLEST TO WHOEVER GETS RIGHT !! <br><br><br> х = [?]
    13·1 answer
  • Rylee is learning about prime numbers in math class. Her friend ask her to name all prime number between 10 and 20. What numbers
    8·1 answer
  • State if the two triangles are congruent. if they are, state how you know
    12·1 answer
  • Suppose that scores on an exam are normally distributed with mean 80 and standard deviation 5, and that scores are not rounded.
    10·1 answer
  • Can someone please help me
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!