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Slav-nsk [51]
3 years ago
8

What is the length of EF?

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Step-by-step Answer:

Two ways to find the answer.

1. Using sine rule, we have

d/sin(D) = f/sin(F)   (d=EF, f=DE=3)

cross multiply and solve for d:

d=f*(sin(D)/sin(F) = 3*sin75/sin50 = 3.783.

2. using the theorem that if angle D is greater than angle F, then the length of the opposite side of D is also smaller than the opposite side of F.

Here D>F, so d>f.  The only answer choice greater than 3 is 3.8, so there.

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The area of the square is increasing at the rate of 36(3/2)^(1/2).btw,i forget to add ^2 to `cm`

3 0
3 years ago
If the angles of a triangle are (2y - 5)degrees, (y + 20)degrees, and (3y-5) degrees what are the values of the angles​
NNADVOKAT [17]

Answer:

<h3>\boxed{ \boxed{ \bold{ \sf{51.68  \: , \: 48.34 \:,  \: 80.02}}}}</h3>

Step-by-step explanation:

Let's solve:

As we know that the sum of angles of traingle adds to 180°

\sf{2y - 5 + y + 20 + 3y - 5 = 180}

Collect like terms

⇒\sf{6y - 5 + 20 - 5 = 180}

⇒\sf{6y   + 15 - 5 = 180}

⇒\sf{6y + 10 = 180}

Move constant to right hand side and change it's sign

⇒\sf{6y = 180 - 10}

Calculate the difference

⇒\sf{6y = 170}

Divide both sides of the equation by 6

⇒\sf{ \frac{6y}{6}  =  \frac{170}{6} }

Calculate

⇒\sf{y = 28.34}

Now, let's replace the value:

⇒\sf{2y - 5 = 2 \times 28.34 - 5 = 51.68}

⇒\sf{y + 20 = 28.34  + 20 = 48.34}

⇒\sf{3y - 5 = 3 \times 28.34 - 5 = 80.02}

Hope I helped!

Best regards!!

8 0
3 years ago
Read 2 more answers
Need answer ASAP plssss
Marysya12 [62]

Answer:

I believe they ate 4/8. 2 apple and 2 banana muffins makes 4. They still have 4 blueberry muffins left. so 4/8

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Find the area of right triangle ABC.
Travka [436]
16 because the base is 8 and the height is 4. That equals 32. 32/2=16
3 0
3 years ago
Read 2 more answers
-3.28+4.4-9.7<br> ​<br> fdsafdsa
Lady bird [3.3K]
Answer: -8.58

Explanation

we add -3.28+-9.7

-(12.98 - 4.4) = -8.58
5 0
2 years ago
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