Answer:
50.6 cm
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the smaller triangle side over the larger triangle side.
x 46.2-14 (This is the length of the short side of the triangle)
--------- = -------------
72.6 46.2
Using cross products
46.2 *x = (46.2-14) *72.6
46.2 *x = (32.2) *72.6
46.2 *x = (32.2) *72.6
46.2x =2337.72
Divide each side by 46.2
46.2/46.2 *x = 2337.72/46.2
x = 50.6
Answer:
30√85 or 276.5863 meters
Step-by-step explanation:
Use pythag theorom. a^2+b^2=c^2
180^2+210^2=c^2
c=276.5863
Answer:
9.93 liter approximately 10 liter
Step-by-step explanation:
3 days = 3/2 quart
3 week = 3/2/3 × 21 quarts
= 1/2×21
=21/2 quarts
now
1 quart = 0.946 liter
21/2 quart = 0.946×21/2 liter
21/2 quart = 9.93 liter
Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are
The volume of the box is equal to
so
simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A
solve for y
Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x
therefore
The original length was 41 inches and the original width was 16 inches
Steps to solve:
5x² = 15x
~Subtract 15x to both sides
5x² - 15x = 15x - 15x
~Simplify
5x² - 15x = 0
~Factor left side
5x(x - 3) = 0
~Factors equal 0
5x = 0 and x - 3 = 0
___________
~Simplify 5x = 0
5x/5 = 0/5
x = 0
~Simplify x - 3 = 0
x - 3 + 3 = 0 + 3
x = 3
___________
Thus, the correct answer is 0, 3.
___________
Best of Luck!
