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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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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)
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672

Step-by-step explanation:

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Answer:

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

Step-by-step explanation:

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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<br> 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:

<u><em>The correct question is</em></u>

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

so

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
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