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
ahrayia [7]
3 years ago
7

What is the length of EF in the right triangle below?

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to find EF

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

EF² + DF² = DE² ← substitute values

EF² + 12² = 18², that is

EF² + 144 = 324 ( subtract 144 from both sides )

EF² = 180 ( take the square root of both sides )

EF = \sqrt{180} → A

You might be interested in
Quadratic equation whose roots are 6 and 4, and whose leading coefficient is 5 .
Gwar [14]

Answer:

f(x)= 5x^(2)-10x-120

3 0
3 years ago
ticket sales for a local concert totaled $101,244 yesterday. After the ticket window closed today, the cashiers counted 968 tick
STALIN [3.7K]

The cost of one concert ticket is approximately  $148.59.

The tickets sales for the local sales is totalled $101, 244 yesterday.

ticket sales yesterday = $101244

He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)

The cost of one ticket can be calculated below:

cost of one ticket = 143,836 / 968

cost of one ticket = 148.590909091

cost of one ticket ≈ $ 148.59

read more: brainly.com/question/15471320?referrer=searchResults

3 0
2 years ago
Retail value is also known as the
Setler79 [48]

Answer:

Retail value is also known as the sticker value.

6 0
3 years ago
Read 2 more answers
The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep
Alchen [17]
Ooh, fun

geometric sequences can be represented as
a_n=a(r)^{n-1}
so the first 3 terms are
a_1=a
a_2=a(r)
a_2=a(r)^2

the sum is -7/10
\frac{-7}{10}=a+ar+ar^2
and their product is -1/125
\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3

from the 2nd equation we can take the cube root of both sides to get
\frac{-1}{5}=ar
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r
subsituting -1/5 for ar
\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r
which simplifies to
\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for ax^2+bx+c=0
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}
so
for 2r²-5r+2=0
a=2
b=-5
c=2

r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}
r=\frac{5 \pm \sqrt{25-16}}{4}
r=\frac{5 \pm \sqrt{9}}{4}
r=\frac{5 \pm 3}{4}
so
r=\frac{5+3}{4}=\frac{8}{4}=2 or r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}

use them to solve for the value of a
\frac{-1}{5}=ar
\frac{-1}{5r}=a
try for r=2 and 1/2
a=\frac{-1}{10} or a=\frac{-2}{5}


test each
for a=-1/10 and r=2
a+ar+ar²=\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}
it works

for a=-2/5 and r=1/2
a+ar+ar²=\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}
it works


both have the same terms but one is simplified

the 3 numbers are \frac{-2}{5}, \frac{-1}{5}, and \frac{-1}{10}
6 0
3 years ago
Can someone please help me I really need help please help me help thank you
KiRa [710]
That is a isosceles triangle, therefore x and the top angle are the same.

There’s 180 degrees in a triangle.

Therefore:

(180 - 38)/2 = x
142/2 = x
71 = x
7 0
3 years ago
Read 2 more answers
Other questions:
  • A beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your
    14·1 answer
  • PLEASE MATH HELP DESPERATE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WILL DO ANYTHING PLEASE. WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!
    6·2 answers
  • Lesson Quiz<br> How is the graph of f(x) = -3x2 -4 different from the graph of f(x) = -3x2?
    15·1 answer
  • Integral of 3a^2/1+a^6
    11·1 answer
  • 2. Use the model to find the product of 5 x 2/3. Simplify.*
    7·1 answer
  • 2. Expand and simplify each of the following
    11·1 answer
  • The distance from Jason's house to school is 0.7 kilometer. What is this distance in meters?
    11·2 answers
  • I dont know how to do this pls help me ​
    5·1 answer
  • Given the function f (x)= x2+ x-4 with the domain d: {0,1,2,3} what is range R?
    5·1 answer
  • Can someone please help me with this
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!