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s344n2d4d5 [400]
3 years ago
14

Albert left his house on his bicycle riding at an average rate of 10 mph three hours before his son left by automobile his son o

vertook him. Albert in exactly 30 minutes at what average rate was Albert some traveling
Mathematics
1 answer:
ohaa [14]3 years ago
8 0
In 3 hours, at 10 mph, Albert travels 30 miles. In 10 minutes (1/6 hr), while his son overtakes him, he travels 10/6 miles more, placing him at 30 + 10/6 = 190/6 = 95/3 mi.
His son covers 95/3 mi in 1/6 hr, so he's moving at (95/3)/(1/6) = 190 mph.
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Find the area of following figure...?​
MrRa [10]

Answer:

33600 m²

Step-by-step explanation:

The top and bottom horizontal sides are parallel, so this is a trapezoid with bases DC and AB. The height is BC.

area of trapezoid = (a + b)h/2

where a and b are the lengths of the bases, and h is the height.

We need to find the height, BC.

Drop a perpendicular from point A to segment DC. Call the point of intersection E. E is a point on segment DC.

DE + EC = DC

EC = AB = 360 m

DC = 600 m

DE + 360 m = 600 m

DE = 240 m

Use right triangle ADE to find AE. Then BC = AE.

DE² + AE² = AD²

DE² + 240² = 250²

DE² = 62500 - 57600

DE² = 4900

DE = √4900

DE = 70

BC = 70 = h

area = (a + b)h/2

area = (600 m + 360 m)(70 m)/2

area = 33600 m²

4 0
1 year ago
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A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are repres
nata0808 [166]

Answer:

<u>3.6 meters</u> are represented by 18 centimeters on the blueprint.

Step-by-step explanation:

Given:

A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

Now, to find the actual meters represented by 18 centimeters.

Let the actual meters represented by 18 centimeters be x.

As, given the scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

So, 10 centimeters equivalent to 2 meters.

Thus, 18 centimeters equivalent to x.

Now, to solve by using cross multiplication method:

\frac{10}{2}=\frac{18}{x}

<em>By cross multiplying we get:</em>

10x=36

<em>Dividing both sides by 10 we get:</em>

x=3.6\ meters.

Therefore, 3.6 meters are represented by 18 centimeters on the blueprint.

3 0
3 years ago
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mars1129 [50]

Answer:

\huge{ \fbox{ \tt{120}}}

Step-by-step explanation:

\star{ \:  \sf{ \:  - 10 \: ⋅ \: ( - 12})}

\underline{ \text{Remember!}} :  \sf{Multiplying \: a \: negative \: integer \: by \: a \: negative \: integer \: gives \: a \: positive \: integer.}

\mapsto{ \sf{  \boxed{120}}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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3 years ago
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Purina dog food costs $43 for a $20 pound bag. A 41 pound bag of Puppy Cow
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Answer: There are 4 tubes of paint she purchased.

Step-by-step explanation:

Since we have given that

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Let the price of tube of paint be 'x'.

Let the price of brush be '2x'.

So, According to question, it becomes,

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Hence, there are 4 tubes of paint she purchased.

8 0
3 years ago
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