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
Contact [7]
3 years ago
12

Why is the value of q?

Mathematics
1 answer:
Rudiy273 years ago
8 0

Given:

QSR is a right triangle.

QT = 10

TR = 4

To find:

The value of q.

Solution:

Hypotenuse of QSR = QT + TR

                                 = 10 + 4

                                 = 14

Geometric mean of similar right triangle formula:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{14}{q} =\frac{q}{4}

Do cross multiplication.

$\Rightarrow14\times 4 =q\times q

$\Rightarrow 56 =q^2

Switch the sides.

$\Rightarrow q^2 =56

Taking square root on both sides.

\Rightarrow q =2 \sqrt{14}

The value of q is 2 \sqrt{14}.

You might be interested in
Don't understand letter K can u write the equation of the described function in standard form
hram777 [196]

The general or standard form of a parabola is

(y-k) = a(x+h)^2

h,k are the intersection points of parabola

Intersection points are where y= 0, or x=0

itsnorigin at (,0,0)that means h=0, k=0

it passes through points (-1,2) and (1,2)

So then

y= ax^2 , 2 = a (-1)^2

this means a= 2

Then results standard form equation

Y = 2• X^2

4 0
1 year ago
Roger owns a one acre piece of land . The length of the land is 484 feet. What is the width of his property
JulsSmile [24]

1 acre = 43560 square feet

43560 = 484 * X

X=43560/484 = 90

the width = 90 feet

4 0
4 years ago
PLSSSS HELPPPPPPP MEEEHHH ILL GIVE BRAINLY
dezoksy [38]

Answer:

can u explain the question

Step-by-step explanation:

And I will answer asap

4 0
2 years ago
Please help!!!!!!!!!
astra-53 [7]

Answer:

first one

Step-by-step explanation:

5 0
3 years ago
What is the solution to the equation?
ki77a [65]

Answer:

7

Step-by-step explanation:

3 {(x + 9)}^{ \frac{3}{4} }  = 24 \\  \\ {(x + 9)}^{ \frac{3}{4} }  =  \frac{24}{3}  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =  8  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =   {2}^{3}   \\  \\ (x + 9) =  {2}^{3 \times  \frac{4}{3} }  \\  \\ x + 9 =  {2}^{4}  \\  \\ x + 9 = 16 \\  \\ x = 16 - 9 \\  \\ x = 7

7 0
3 years ago
Other questions:
  • Name the rational numbers that are not integers from the list
    9·1 answer
  • Please what is A=pi r squared
    5·1 answer
  • The function fff is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Cho
    10·1 answer
  • Find the area of the figure.
    12·2 answers
  • Help me and fast plz
    12·1 answer
  • Doctors sometimes use this formula to calculate how much medicine to give a child. A child who is 4 years old needs some medicin
    8·1 answer
  • **50 POINTS**
    15·2 answers
  • Diego can type 140 words in 4 minutes. how long will it take him to type 385 words
    5·1 answer
  • Which is a correct way to check that 4,358 divided by 7 is 622 remainder 4
    14·1 answer
  • Simplify.<br> Remove all perfect squares from inside the square root.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!