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
scZoUnD [109]
3 years ago
9

Can someone please help me with this?

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

e = 29.0 will be the answer.

Step-by-step explanation:

Use the sine rule in the given triangle,

\frac{EF}{\text{sin}(\angle D)}=\frac{DE}{\text{sin}(\angle F)}=\frac{DF}{\text{sin}(\angle E)}

\frac{d}{\text{sin}(35)}=\frac{16}{\text{sin}(30)}=\frac{e}{\text{sin}(115)}

d=\frac{16\times \text{sin}(35)}{\text{sin}(30)}

d = 18.35

\frac{16}{\text{sin}(30)}=\frac{e}{\text{sin}(115)}

e=\frac{16\times \text{sin}(115)}{\text{sin}(30)}

e = 29.002

e ≈ 29.0

Therefore, e = 29.0 will be the answer.

You might be interested in
There are 24 students in a science class.Mr.Sato will give each pair of students 3 Magnets.So far,Mr.Sato has given 9 pairs of s
Flauer [41]

Answer:

Mr. Sato needs 9 more magnets.

Step-by-step explanation:

The 24 students will form 12 pairs. The total number of magnets needed is 12*3 = 36. Mr. Sato  gave out 9*3=27 magnets already and so he will need 36 - 27 = 9 more magnets.

8 0
4 years ago
What is the mean absolute deviation<br> of the following set of data?<br> 10<br> 4<br> 2<br> 4.
fredd [130]

Answer:

80

Step-by-step explanation:

10+4+2+4=20 and 20×4 numbers=80

3 0
3 years ago
If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and
KATRIN_1 [288]

Answer:

The answer is option A : 5%

Step-by-step explanation:

We have the following information in percentage:

Employees taking winter vacation= 75

Employees taking both winter and summer vacation= 40

Employees taking none vacation = 20

We can assume the situation as following:

Winter + Summer - Both + Neither = 100

We get;

75 + Summer - 40 + 20 = 100

So, summer = 45

45 people take vacations in summer. But 40 of them take vacation in winters too.

So, people taking vacations in summer but not winter means summer only.

This is : 45-40=5%

Therefore, the answer is option A : 5%

8 0
4 years ago
A fair die is cast four times. Calculate
solmaris [256]

Step-by-step explanation:

<h2>You can solve this using the binomial probability formula.</h2><h2>The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.</h2><h2>Then, we can set the equation as follows:</h2><h2> </h2><h2>P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) </h2><h2>n=4, x=2, k=2</h2><h2>when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157</h2><h2>when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154</h2><h2>when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008</h2><h2>Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)</h2>
6 0
3 years ago
Find the area. Simplify your answer.<br> X+6
Jet001 [13]

Answer:

7x + 42

Step-by-step explanation:

Area of parallelogram = Length × Height

Therefore, area of parallelogram:

7 \times (x + 6)

Simplify:

7x + 42

6 0
3 years ago
Other questions:
  • $1.97 + ______ = $5.00
    15·1 answer
  • NEED HELP PLEASE!!!!!!!!!!!!!!!
    13·1 answer
  • the distance from baltimore to new york is about 171 mi. this is about 189 mi less than the distance from baltimore to boston. H
    8·1 answer
  • How can I make 4 and 9/6 a proper mixed number
    6·2 answers
  • Jack can run a mile in 9, 1/3 minutes. How long will it take for him to run 3, 1/2 miles?
    15·1 answer
  • Shreya enlarged the size of a rectangle to a width of 5.5 in. What is the new height if it was originally 1.1 in wide and 6.8 in
    7·1 answer
  • What values of x make the equation x(squared)+9x-22=0
    15·1 answer
  • A car travels at a speed of 10 m/s - how far does it travel in 10 seconds?
    15·1 answer
  • 5 1/5 - 5/12 ÷ (1/6 × 2/3)=
    14·1 answer
  • What is the factored form of the function f(x)=x^3+8x^2+5x−50?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!