All categories

3 years ago

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.

You might be interested in

Each of the 4 children in a family drinks 24 ounces of milk every day. how much milk do the children drink in one week (7days)

olchik [2.2K]

Answer:

672

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Hey guys please help me on this I will give you brainliest

dangina [55]

Answer:

1. 15-5x 2. 54+18x 3. 3x+15 4. 28x+56

Step-by-step explanation:

I dont get if you need this or the real answer if you need the real answer let me know and I will give you the real answer. :) Have a good day!

6 0

3 years ago

Which lines are perpendicular to the line y – 1 = One-third(x+2)

Valentin [98]

Answer:

$y-1=-3(x+2)$

Step-by-step explanation:

The equation of the given line:

$y-1=\frac{1}{3}(x+2)$

This equation is in the form $y-y_{1}=m(x-x_{1})$ . Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: $y-1=-3(x+2)$

4 0

3 years ago

(1, -7); slope = -1 Write the equation of the line

castortr0y [4]

Answer:

y = -1x - 6 is the equation of the line.

Step-by-step explanation:

1. Insert the coordinates into the formula:

-7 = -1 ( 1 ) + b

2. Solve both sides and add 1 to each side to get:

-6 = b

3. If the slope is -1 and the y-intercept (b) is -6, than the equation of the line is:

y = -1x - 6

6 0

4 years ago

Marcella bought 12/14 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

xenn [34]

Answer:

$6\frac{1}{12}\ yd$

Step-by-step explanation:

The correct question is

Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

How many yards of ribbon does Marcella have left?

we know that

To find out how many yards of ribbon Marcella has left, add up the yards of ribbon used for the gift packages plus the yards of ribbon used to tie the balloons. and subtract this result from the total yards of ribbon bought by Marcella

$12\frac{1}{4}-(2\frac{1}{2}+3\frac{2}{3})$

but first convert mixed number to an improper fractions

$12\frac{1}{4}=\frac{12*4+1}{4}=\frac{49}{4}$

$2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}$

$3\frac{2}{3}=\frac{3*3+2}{3}=\frac{11}{3}$

substitute in the expression above

$\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})$

$\frac{49}{4}-(\frac{5*3+2*11}{6})$

$\frac{49}{4}-(\frac{37}{6})$

$\frac{3*49-37*2}{12}$

$\frac{73}{12}\ yd$

Convert to mixed number

$\frac{73}{12}\ yd=\frac{72}{12}+\frac{1}{12}=6\frac{1}{12}\ yd$

7 0

3 years ago