Answer:
<h2>x = 10√3</h2>
<u>Step-by-step explanation:</u>
cos 45° = base / hypotenuse
1/√2 = base / 15√2
15√2 = base√2
Base, = 15
sin 60° = perpendicular / hypotenuse
hypotenuse = x
√3/2 = 15 / x
x √3 = 30
x = 30 / √3
x = 10√3
Answer:
(-5,1)
Step-by-step explanation:
Add it together
3x - 2x = x
y - y = 0
9 - 14 = -5
x = -5
Choose a random equation, doesn't matter.
3x + y = -14
3(-5) + y = -14
-15 + y = -14
y = -14 + 15
y = 1
We are given a scenario and asked to choose which graph (described verbally) represents the scenario.
Let us break down the scenario piece by piece.
The first part of the scenario is that Kent walked to the bus station. His speed will be constant so that graph will show a line sloping upward.
Next, Kent waited for the bus. This will be represented by a horizontal line.
Then, he rode the bus. This will be represented by a sloping line but steeper than the first part of the graph since the speed of the bus is greater than Kent's speed.
Finally, Kent walked to work. The graph would still be a sloping line but the slope will be less than the previous part of the graph.
So, the answer is
<span>The line increases for 10 minutes, stays horizontal for 15 minutes, increases rapidly for another 25 minutes, then increases slowly for 5 minutes.</span>
Answer:
0.09
Step-by-step explanation:
First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.
The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:
1/10(9/10)
To multiply fractions, multiply the numerators and multiply the denominators:
1/10(9/10) = (1*9)/(10*10) = 9/100
Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.
