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
ruslelena [56]
3 years ago
12

How long is line UW?

Mathematics
1 answer:
Neko [114]3 years ago
5 0

Answer: UW= 9√3

Step-by-step explanation:

This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.

The hypotenuse is 18. We can figure out the length of x.

2x=18

x=9

Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.

9√3

We can check our answer by using Pythagorean Theorem.

9²+(9√3)²=18²

81+243=18²

324=324

Since they are equal, we know we have the right answer.

You might be interested in
The bakery you choose cost $1000 per month to rent. The bakery that you almost rented was one fourth for the cost but was too sm
Len [333]
25 x 4 equals 100. and 250 x 4 =1000. so  one fourth of 1000 is 250.
5 0
3 years ago
Can i get the answer to this question please???? and fast
lord [1]
The triangle must be isosceles, due to the perpendicular bisector. Therefore, the expression 20 - 15 can be used to yield an answer of B. 5.

Hope this helps!
5 0
3 years ago
Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pounds of chicken?
Ugo [173]

Answer:

$9.60

Step-by-step explanation:

3.20x3=9.60

8 0
3 years ago
The probability distribution for the rate of return on an investment is
babymother [125]

Answer:

a)0.7

b) 10.03

c)  0.0801

Step-by-step explanation:

Rate of return   Probability

9.5                           0.1

9.8                           0.2

10                             0.3

10.2                          0.3

10.6                          0.1

a.

P(Rate of return is at least 10%)=P(R=10)+P(R=10.2)+P(R=10.6)

P(Rate of return is at least 10%)=0.3+0.3+0.1

P(Rate of return is at least 10%)=0.7

b)

Expected rate of return=E(x)=sum(x*p(x))

Rate of return(x)   Probability(p(x))    x*p(x)

9.5                           0.1                       0.95

9.8                           0.2                      1.96

10                             0.3                        3

10.2                          0.3                        3.06

10.6                          0.1                       1.06

Expected rate of return=E(x)=sum(x*p(x))

Expected rate of return=0.95+1.96+3+3.06+1.06=10.03

c)

variance of the rate of return=V(x)=sum(x^2p(x))-[sum(x*p(x))]^2

Rate of return(x)   Probability(p(x))    x*p(x)    x²*p(x)

9.5                           0.1                       0.95       9.025

9.8                           0.2                      1.96         19.208

10                             0.3                       3             30

10.2                          0.3                       3.06        31.212

10.6                          0.1                       1.06         11.236

sum[x²*p(x)]=9.025+19.208+30+31.212+11.236=100.681

variance of the rate of return=V(x)=sum(x²*p(x))-[sum(x*p(x))]²

variance of the rate of return=V(x)=100.681-(10.03)²

variance of the rate of return=V(x)=100.681-100.6009

variance of the rate of return=V(x)=0.0801

6 0
3 years ago
Quadratic form of f(x)=(x+7)^2
Triss [41]

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49

3 0
2 years ago
Other questions:
  • 40 Points correct answer <br><br> what is the simplest form of the equation ?<br><br> -m(9m+2)+7m^2
    9·1 answer
  • Michael is putting 12 boxes in a storage shed. Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 f
    12·1 answer
  • The EAI data has information on the annual incomes of managers and whether they have attended the training program or not. This
    5·1 answer
  • What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that apply.
    14·1 answer
  • Imagine a pet shelter that has noticed older animals (age 5+) have lower adoption rates. This shelter (which has only cats and d
    7·1 answer
  • 23.75 into a fraction
    15·1 answer
  • *<br> What is the slope in the graph?<br><br> m= -1<br> m= 0<br> m= 1<br> undefined
    15·1 answer
  • A catering company needs 8.75 Ib of shrimp for a small party. They buy 3 2/3 Ib of jumbo shrimp, 2 5/8 Ib of medium-sized shrimp
    7·1 answer
  • I need help with this question. 20 points ton the person who can answer the question and make it make sense.
    12·1 answer
  • What is the volume of a cone with a height of 27 cm
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!