The legs are the same length. if x represent the legs length the hypotenuse is equal to x√2. if you have the length of the hypotenuse just divide its length by the square rot of two.
Number one:
Answer:
12 feet
Step-by-step explanation:
Draw a diagram (see picture below). The tree and its shadow is one triangle, the man and its shadow is another triangle. We assume both are right triangles because people and trees stand vertical.
Create a proportion to solve. Put the missing value in a numerator.
Tree height / Tree shadow = Man height / Man shadow
Solve using cross multiplication. Multiply x by 4. Multiply 6 by 8.
4x = 48 Divide both sides by 4 to isolate x.
x = 12 Height of tree
The tree is 12 feet tall.
Second one is the picture is put.
Answer is 3.
Notice how f(0) is 0 on the graph, it can only be 3 because 3 is the only number on the y-axis that the line runs through. The line does not run through any of the other options.
Answer:
f(n) = 20 + 24n
Step-by-step explanation:
In slope-intercept form, y = mx + b, where m is the slope and b is the y intercept, you need to input the values you are given. f(n) is your "y" here.
The tricky part here is finding "b". Well, at the start, the bamboo shoot is 20 inches tall, so if you think about it, the equation should start with 20, which will be your "b".
Finally, you must show how the bamboo shoot will grow taller by 24 inches each day. Days in this case will be "n", which is like "x" in the general slope-intercept equation, and 24 is your slope ("m"). This will be positive because the height is <em>increasing.</em>
y = 24x + 20 ⇒ f(n) = 20 + 24n
Answer:
1 pound is 16 oz
so 1/2 pound is 8 oz
So 3 1/2 pounds as whole pounds and ounces would be:
<u>3 pounds and 8 ounces</u>
and/or
<u>3 lbs. and 8 oz.</u>