Answer: 231
Step-by-step explanation: We can use PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) in order. Multiply 34 and 6: 204.
50 + 204 - 23. Add 50 and 204: 254. Subtract 254 and 23: 231.
Answer:
c. d = 5
Step-by-step explanation:
The difference in coordinates B and C is (14, 17) -(2, 1) = (12, 16). When the figure is scaled by 0.25, that difference becomes ...
0.25(12, 16) = (3, 4)
The length of a line segment with those coordinate differences is ...
d = √(3² +4²) = √25 = 5 . . . . matches selection c.
Answer:
<h2>10.3seconds</h2>
Step-by-step explanation:
Step one:
given data
acceleration,a= 10ft/sec^2
final velocity v= 70mph
first, let is convert mph to ft/sec
1mph is 1.46667 ft/sec
70 mph is x
cross multiply we have
x= 102.7ft/s
Step two:
we are using the first equation of motion
v=u+at
initial velocity u= 0m/s
102.7=0+10*t
102.7=10t
divide both sides by 10
t=10.3seconds
This is classic Pythagorean solving:
Side^2 + Side^2 = Hypotenuse^2
The hypotenuse is the longest side of a triangle, and it connects the leg and the base usually. In this triangle, 18 is the hypotenuse -- so since we are solving for the unknown side, the equation is:
a^2 + 5.7^2 = 18^2 -- now solve
a^2 = 18^2 - 5.7^2
a^2 = 291.51
a = sqrt(291.51)
a = 17.07 -- because height is the square root of the difference of the squares of 18 and 5.7
The answer is choice B.
Answer:
9 cups
Step-by-step explanation:
We can write a ratio to solve
5 cups x cups
------------ = ----------------
80 cookies 144 cookies
Using cross products
5 * 144 = 80x
720 = 80x
Divide by 80
720/80 = 80x/80
9=x
