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2 years ago

A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle, to the nearest degree, of

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

5 0

Answer:

39 degrees

Step-by-step explanation:

Right triangle

40 ft tree = opposite side

50 feet = adjacent side

tan (angle) = opp / adj = 40 /50

arctan (40/50) = 38.66 degrees ~ 39 degrees

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Select the graph that shows the solution set for the following system. x + y < 2 x>2

kompoz [17]

Answer:

Answer is in the attachment.

Step-by-step explanation:

To graph x>2 consider first x=2. x=2 is a vertical line and if you want to graph x>2 you need to shade to the right of the vertical line.

To graph x+y<2, I will solve for y first.

x+y<2

Subtract x on both sides:

y<-x+2

Consider the equation y=-x+2. This is an equation with y-intercept 2 and slope -1 or -1/1. So the line you have in that picture looks good for y=-x+2. Now going back to consider y<-x+2 means we want to shade below the line because we had y<.

Now where you see both shadings will be intersection of the shadings and will actually by your answer to system of inequalities you have. In my picture it is where you have both blue and pink.

I have a graph in the picture that shows the solution.

Also both of your lines will be solid because your question in the picture shows they both have equal signs along with those inequality signs.

Just in case my one graph was confusing, I put a second attachment with just the solution to the system.

5 0

3 years ago

6. What impact does the 5 have in the following equation. y = 5(x+2)^2 +

yulyashka [42]

Answer:

B. It makes the graph really narrow.

Step-by-step explanation:

$\displaystyle Y = A[X - H]^2 + K$

In the Vertex Formula, any fraction you store in for A will result in a vertical shrink, widening the graph, whereas any whole number you store in for A will result in a vertical stretch, narrowing the graph.

I am joyous to assist you at any time.

4 0

3 years ago

Using distributive property create an equivalent expression to 40+4x

evablogger [386]

Hi there!

To create an expression that uses the distribution property which can be simplified into 40 + 4x, we can find a factor between 40 and 4:

Since both 40 and 4 is divisible by 4,

40 / 4 = 10
4 / 4 = 1

We can put the 4 on the outside of the parenthesis, and put the quotients inside the parenthesis. And since the expression is in addition, we should include the addition symbol as the operation inside the parenthesis.

4(10 + x)
would be your answer.

Hope this helps!

4 0

3 years ago

Choose the best option that represents 23/100

Rom4ik [11]

Answer:

its .23

Step-by-step explanation:

.23 is 23/100 becuase its in the hundreds of decimals. The percentage of 23/100 would just equal 23%

5 0

3 years ago

If it’s 3:00 how long will it take before the hands are at a right angle again

UNO [17]

Answer:

4 hours

Step-by-step explanation:

3+1=4

3 0

3 years ago