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3 years ago

A square is always a parallelogram. true or false.

1 answer:

monitta3 years ago

5 0

False because A square is a rhombus as it has 2 pairs of parallel sides (so therefore is a parallelogram) and has four congruent sides as they are all the same length.

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Find x<br> A. 22√2<br> B. 22<br> C. 11√3/3<br> D. 11√3

mel-nik [20]

Answer

$22\sqrt{2}$

Step-by-step explanation:

First we gave a name to the side that is common for both triangles, can be Y for example.

Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.

$sin(45)=\frac{11}{Y} \\$ , Because sin(x)= op/hip

$cos(60)=\frac{Y}{x}$ , Because con(x)=ad/hip

Having this equations, we can solve the system and find x

$Y=\frac{11}{sin(45)} \\Y=cos(60)*x$

we equal Y and solve

$\frac{11}{sin(45)}=cos(60)*x\\ x=\frac{11}{sin(45)*cos(60)} \\x=\frac{11}{\frac{\sqrt{2} }{2} *\frac{1}{2} } \\x=\frac{11}{\frac{\sqrt{2} }{4} } \\x=\frac{44}{\sqrt{2} }\\$

Then we rationalize

$x=22\sqrt{2}$

Hope you like it!

7 0

3 years ago

Read 2 more answers

A function is represented by the graph.

Morgarella [4.7K]

Answer:

see the explanation

Step-by-step explanation:

we know that

The y-intercept is the value of the function y when the value of x is equal to zero

Part 1) we have

$y=5x-6$

For x=0

substitute in the linear equation and solve for y

$y=5(0)-6$

$y=-6$

therefore

The y-intercept is the point (0,-6)

Part 2) Find the y-intercept of the function represented in the graph

Looking at the graph

For x=0

Find the value of y in the graph

The value of y is equal to y=1

therefore

The y-intercept is the point (0,1)

6 0

3 years ago

Two people are 100 feet apart on opposite sides of a tree. The angles of elevation from the people to the top of the tree are 30

cricket20 [7]

We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)

sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44

Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22

The height of the tree is 29.22 feet.