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Anarel [89]
2 years ago
12

You are in a bike race. When you get to the first checkpoint, you are $\frac{2}{5}$

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
6 0

Answer:

The distance from the star to the second checkpoint is 4 miles

Step-by-step explanation:

The complete question in the attached figure

we know that

When you get to the second checkpoint, you are 1/4 of the distance to the finish

so

The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4

The total distance is 40 miles ( see the attached figure)

so

The distance from the star to the second checkpoint is

\frac{1}{4}(40)=10\ miles

<em>Find out the distance from the start to the first checkpoint</em>

Multiply the distance from the star to the second checkpoint by 2/5

\frac{2}{5}(10)=4\ miles

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The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?
sdas [7]
<h2>Steps</h2>

So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

x\sqrt{2} =18

From here we can solve for x. Firstly, divide both sides by √2.

x=\frac{18}{\sqrt{2}}

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}

Next, divide:

x=9\sqrt{2}

<h2>Answer</h2>

<u>In short, the length of one leg of the triangle is 9√2 cm.</u>

5 0
2 years ago
Read 2 more answers
The number 2^1993 + 3^1993 is a multiple of 5. What is the units digit of the quotient (2^1993 + 3^1993)/5?
Ad libitum [116K]

Answer: The unit digit of the quotient is 1.

Step-by-step explanation:

Since the number 2^1993 + 3^1993 is a multiple of 5, this means that no matter the value of the answer to the equation, the last digit will be 5 (we call the last digit of any number its "unit digit").

Since the unit digit of 2^1993 + 3^1993 is 5, if the unit digit is divided by 5 i.e 5/5, it will give us 1.

We will only consider the last digits of the multiple of 5 as our numerator

3 0
2 years ago
Find the p​-value in a test of the claim that the mean College Algebra final exam score of engineering majors equal to​ 88, give
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Answer: 0.9332.

Step-by-step explanation:

Claim : College Algebra final exam score of engineering majors equal to​ 88.

Given that : The  test statistic is z equals to 1.50.

To find the  p​-value (Probability value), we use standard normal distribution table, and search the p-value corresponds to the z-score.

In a Standard Normal Distribution Table below, the p-value corresponds z equals 1.5 is 0.9332.

Hence, the p​-value is  0.9332.

8 0
2 years ago
Math 9:The floor of conference hall can be covered completely with tiles. Its length is 36 ft longer than its width. The area of
valentina_108 [34]
What is the question?
I'm assuming it is to find the length and width.
+_= plus or minus
(X+36)
____________
| |
(X) | |
|____________|

X^2+36X-2040<0
X<-36+_(36^2-4*-2040)^(1/2)
-----------------------------------
2
X<-18+_2((591)^(1/2))
This is probably not what you wanted, sorry
8 0
2 years ago
Melinda works at a cafe. Each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her
Anna35 [415]

Answer:

$26

Step-by-step explanation:

In the picture attached, the table, the plot and the line of best fit are shown. There we can see the next equation:

y = 0.177x + 25.936

where x is the total dollar amount of her customers’ bills and then y is her total daily wages.

This means that even if she serves no customers (x = 0) she will earn $26  ($25.936 rounded to the nearest dollar)  for each day of work.

5 0
2 years ago
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