Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
Answer: (-2,1)
Step-by-step explanation:
y=x+3
y=2x+5 substitute the y value in the first equation into the second equation
x+3 = 2x+5 now solve for x
-3 -3
x = 2x +2 subtract 2x from both sides
-2x -2x
-1x = 2 Divide both sides by -1
x= -2
The value of x is -2 to plot it into one of the equations to solve for y.
y= -2 + 3
y = 1
(-2,1)
Answer:
x = 3
Step-by-step explanation:
5.8x - 1.4 = 16 {add 1.4 to both sides}
5.8x = 16 + 1.4
5.8x = 17.4 {Divide both sides by 5.8}
x = 17.4/5.8
x = 3
We learned that ratios are value comparisons, and proportions are equal ratios. Ratios can be written with colons or as fractions. So, to compare the number of girls to boys in a litter of puppies, we can write 2:4 or 2/4 to say that there are two girls to four boys.