Answer:
Thr Answer is 42.195 kilometers
Answer: 5/12
Step-by-step explanation:
Step 1
Whenever you have something OF something, you just mulltiply.
1/3 of 5/8=
1/3x5/8
5/24
She used 5/24, and started with 5/8
5/8-5/24= 5/12 left
Answer:
The exam was out of 75.
Step-by-step explanation:
You know that he earned 65% so more than half his answers were correct.
Then, you would guess and check try 49/60, 49/70, and go up by 10s or 5s. You will then realize that 49÷75 equals 65.333. This rounds up to 65.
<span><u><em>Answer:</em></u>
Dave makes $350
<u><em>Explanation:</em></u>
In order to find this answer, we must first establish the equation for his earnings.
<u>We use slope intercept form:</u>
y = mx + b,
where m = slope and b = y-intercept.
Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation <u>to get the following: </u>
y = 0.1x + 200.
Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350. </span>
Answer:
one side = ![\frac{a\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Csqrt%7B2%7D%7D%7B2%7D)
Step-by-step explanation:
if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.
Let's say TP = a
since it's a regular octagon, TP = HT
and using the Pythagoras Theorem, we know a² + b² = c² and thus:
√(AT² + HA²) = HT
and since AT = HA which we will call x, the equation becomes:
√(2x²) = HT = a
rearrange the equation to solve for x and you get:
2x² = a²
x² = ![\frac{a^{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2%7D%20%7D%7B2%7D)
x =
which, if you rationalise the denominator, you get:
x = ![\frac{a\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Csqrt%7B2%7D%7D%7B2%7D)