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
RSB [31]
4 years ago
14

Can some one explain how to do this?

Mathematics
1 answer:
Delvig [45]4 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle EFG

tan60° = \frac{opposite}{adjacent} = \frac{FG}{EG} = \frac{28}{EG} ( multiply both sides by EG )

EG × tan60° = 28 ( divide both sides by tan60° )

EG = \frac{28}{tan60} ≈ 16.2 in ( to the nearest tenth )

--------------------------------------------------------------

sin60° = \frac{opposite}{hypotenuse} = \frac{FG}{EF} = \frac{28}{EF} ( multiply both sides by EF )

EF × sin60° = 28 ( divide both sides by sin60° )

EF = \frac{28}{sin60} ≈ 32.3 in ( to the nearest tenth )

You might be interested in
Which figure represents the image of parallelogram LMNP after a reflection across the line y = x? (see image)
loris [4]

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. This gives you such reflection rule:

(x,y)\rightarrow (y,x).

From the diagram:

L(3,1), M(4,3), N(5,3) and P(4,1).

Using the reflection rule, you can find coordinates of image points:

L'(1,3), M'(3,4), N'(3,5) and P'(1,4).

As you can see, these are coordinates of vertices of the figure C.

Answer: correct choice is option 3 - figure C.

8 0
4 years ago
Read 2 more answers
In 10 and 11, find the area in square units of each polygon.
alexandr1967 [171]

Answer:

10: 12 units^2 11: 33 units^2

Step-by-step explanation:

10:

Divide into square and 2 triangles (for simplicity)

square=9

one triangle=3/2

both triangles combined=3

9+3=12

11:

divide into 2 triangles

top triangle: height= 4, base=6

bottom triangle: height= 7, base=6

top=12

bottom=21

Add, 33.

7 0
2 years ago
Read 2 more answers
Verna shipped three packages to chicago. If the packages weighed 12 1/2, 35 1/4, and 41 7/20 pounds, what was the total weight?
stiv31 [10]

Answer:

A

Step-by-step explanation:

1st package weighs 12\dfrac{1}{2} pounds;

2nd package weighs 35\dfrac{1}{4} pounds;

3rd package weighs 41\dfrac{7}{20} pounds;

First, add whole numbers:

12+35+41=88

Now add fractions:

\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{7}{20}=\dfrac{10}{20}+\dfrac{5}{20}+\dfrac{7}{20}=\dfrac{10+5+7}{20}=\dfrac{22}{20}=\dfrac{11}{10}=1\dfrac{1}{10}

So, the total weight is

88+1\dfrac{1}{10}=89\dfrac{1}{10}\ pounds

3 0
4 years ago
Write the equation of a line perpendicular to y=-2x+1 that passes through the point (2,3)
Cloud [144]

Answer:

y = 1/2x + 2

Step-by-step explanation:

First you have to determine the slope which is the opposite reciprocal of the slope of the line given.

So we take the slope -2 and reciprocate and by flipping the numerator and denominator which makes it -1/2.

Then we have to make it the opposite, like making a negative into a positive or a positive into a negative. So that would make it positive 1/2.

We now have the slope which is 1/2 and not we have to make sure it goes through point (2,3).

To do that, we must adjust the y-intercept until it goes through that point. We result in getting the y-intercept of 2.

The answer is y = 1/2x + 2

3 0
3 years ago
Read 2 more answers
What happens to energy that is unused?
Hitman42 [59]

Energy transform to potential energy. as it is stored..I think

3 0
3 years ago
Other questions:
  • Use Cramer's rule to solve the system. 2x + 4y - z = 32 x - 2y + 2z = -5 5x + y + z = 20
    9·1 answer
  • I need help on this ASAP!!!<br><br> (Feel free to explain your work! :)
    6·2 answers
  • In 2009, a tree was 10 feet tall. In 2012, the tree was 16 feet tall. Construct a linear model that represents the height, h, of
    7·2 answers
  • The function j(x)= 39x represents the number of jumping jacks (x) you can do in x minutes . How many jumping jacks can you do in
    8·2 answers
  • Y = 4<br> x = -5y + 6<br> pls help
    11·1 answer
  • Which expression is equivalent to the expression shown below? --8x – 2(5 + 4x)​
    9·1 answer
  • Given that the diameter of a circle is 5 mm, find the radius of the circle.
    13·2 answers
  • Find the measure for each angle indicated
    11·2 answers
  • Solve the system of equations algebraically y = 4x + 2 y = -2x + 6
    11·1 answer
  • Evalueate-2/5-x(-9/10) where x= 4/5​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!