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3Honolulu; Washington, D.C.; Nome; Base Esperanza
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
Answer: 120 beats per 45 seconds
Step-by-step explanation:
Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, then
y = 3x + c ← is the partial equation
To find c substitute (1, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = 3x - 2 ← equation of line
Answer:
4 pitchers
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
step 1
Find the volume of the cylinder with height 9 inches and radius r
substitute the given values
step 2
Find the volume of the cylinder with height 9 inches and radius 2r
substitute the given values
step 3
we know that
The volume of the cylinder 1 can fill a certain pitcher,
so
The volume of the pitcher is the same that the volume of cylinder 1
therefore
the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder
