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
dsp73
3 years ago
12

1. What is the value of x in the figure?

Mathematics
1 answer:
irinina [24]3 years ago
5 0

Answer:

x=6\sqrt{5}\\ \\y=3\sqrt{5}\\ \\z=6

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is geometric mean of two segments of hypotenuse, so

z^2=12\cdot 3\\ \\z^2=36\\ \\z=6

By the Pythagorean theorem,

x^2=12^2+z^2\\ \\x^2=144+6^2\\ \\x^2=144+36\\ \\x^2=180\\ \\x=6\sqrt{5}

and

y^2=z^2+3^2\\ \\y^2=6^2+9\\ \\y^2=36+9\\ \\y^2=45\\ \\y=3\sqrt{5}

You might be interested in
What is the area of the following circle?
satela [25.4K]

Answer:

Look up this on google area of circle with diameter of 8.

Step-by-step explanation:

It will be correct trust me

7 0
3 years ago
») Noah finds 14 caterpillars and puts them in 2 cages.
Allisa [31]

Answer:

7 Caterpillars

Step-by-step explanation:

14/2

7 0
3 years ago
What equation will give the perimeter of the figure? HELP HELP HELP
nata0808 [166]

Answer:

(2l + 2w) + (a + b + c)

Step-by-step explanation:

The formula for the perimeter of a rectangle is

P = 2l + 2w

so if you substitute, it becomes

P = 2(12) + 2(2)

= 24 + 4

= 28

For the perimeter of a triangle the correct formula would be

P = a + b + c

The missing side in the triangle is 3 because 15 - 12 is 3.

If you substitute, it becomes

P = 2 + 3 + 6

P = 11

If we add both perimeters together we get the full perimeter of the figure which is

28 + 11 = 39

I am not sure if you wanted the answer as well but just in case :)

4 0
2 years ago
Should be easy points!
Andru [333]

Answer:

Let x represent the number from the sentence.

Step-by-step explanation:

2(x) + 2(1/x) = 20/3

2x + 2/x = 20/3

multiply both sides of the equation by 3x

6x + 6 = 20x

6x - 20x + 6 = 0

6x - 18x - 2x + 6 = 0

6x(x-3 -2(x-3) = 0

(6x-2 = 0 or x-3 = 0

6x = 2 or x = 3

x = 2/6

x = 1/3

Since x represented the number

Therefore x = 1/3 or 3

4 0
2 years ago
Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,
iogann1982 [59]

Answer:  13%

Step-by-step explanation:

We know that the formula to find the simple interest :

I=Prt, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).

Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.

i.e. P = $19,100 and  t= 4 years and I = $9932.00

Now, Substitute all the values in the formula , we get

9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}

In percent, r=0.13\times100\%=13\%

Hence, the rate of interest = 13%

3 0
2 years ago
Other questions:
  • What is 0.3 divided by 0.06
    12·2 answers
  • Does anyone know the answer at all?
    15·2 answers
  • How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?
    7·1 answer
  • Which of the following functions best describes this graph?<br><br> HELP A BROTHA OUT
    10·2 answers
  • Is the product of a positive number and a negative number a positive ​
    15·1 answer
  • How many degrees is 4​ 9 radians?
    11·1 answer
  • ANSWER CORRECTLY OR I WILL REPORT AND DELETE YOUR ANSWER THANK YOU Classify the questions as statistical or not statistical. How
    9·1 answer
  • Help pls :( I’ll mark you brainlist no links<br> Links= report
    8·1 answer
  • ⚠️‼️⚠️ HELPPP PLEASE WILL GIVE POINTS ‼️⚠️⚠️​
    9·1 answer
  • Hi, I don’t understand this question
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!