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Karo-lina-s [1.5K]
3 years ago
15

You and a friend start riding bikes toward

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

1.5 hours

I traveled farther

2 miles

Step-by-step explanation:

\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}

My speed

\dfrac{2\dfrac{1}{6}}{\dfrac{1}{4}}=\dfrac{\dfrac{13}{6}}{\dfrac{1}{4}}=\dfrac{26}{3}\ \text{mph}

Speed of my friend

7\dfrac{1}{3}=\dfrac{22}{3}\ \text{mph}

Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let t be the time taken to meet

\text{Distance}=\text{Speed}\times\text{Time}

\dfrac{26}{3}t+\dfrac{22}{3}t=24\\\Rightarrow \dfrac{48}{3}t=24\\\Rightarrow 16t=24\\\Rightarrow t=\dfrac{24}{16}\\\Rightarrow t=1.5\ \text{hours}

So, we meet each other after 1.5 hours.

Distance traveled by me

\dfrac{26}{3}\times 1.5=13\ \text{miles}

Distance traveled by my friend

\dfrac{22}{3}\times 1.5=11\ \text{miles}

So, I traveled farther by 13-11=2\ \text{miles}.

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The floor of a shed has an area of 108 ft. The floor is a rectangle whose length is 6 feet less than twice the width. Find the w
Lesechka [4]


A = L x W

A = 108

108 = L x W

L = 2w - 6

108 = (2w-6) (W)

7 0
3 years ago
Using the image above, what is the measure of Side AC? Round to the nearest hundredth
Evgesh-ka [11]

To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units

<h3>Trigonometric Ratio</h3>

In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.

Data;

  • Angle = 32.9 degrees
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Let's use cosine rule for this.

cos\theta = \frac{adjacent}{hypothenuse}

Proceed to substitute the values into the equation and solve.

cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85

From the calculations above, the value of side AC is 2.85 units

Learn more on trigonometric ratio here;

brainly.com/question/11967894

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3 0
2 years ago
Can someone help me find the maximum or minimum value?
Elden [556K]

Answer:

(c) Minimum value is -16.

Step-by-step explanation:

This will have a minimum value because the leading coefficient is positive.

We can find the minimum value by converting the function to vertex form:

f(x) = x^2 + 4x - 12

f(x) = (x + 2)^2 - 4 - 12

f(x) = (x + 2)^2 - 16.

The minimum value is -16.

So when you draw the graph the turning point is at (-2, -16).

8 0
3 years ago
What is -3 - (-8)<br> what is -26 - 30
vampirchik [111]
-3-(-8) would equal 5.
-26-30 would equal -56.
3 0
4 years ago
80 divide by 10 is 8
iogann1982 [59]
That as an expression would be \frac{80}{10}=8
8 0
4 years ago
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