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2 years ago

5

In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is

1 answer:

Likurg_2 [28]2 years ago

6 0

Answer:

<h2>altitude = 5</h2>

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

$a^2+12^2=13^2$

$a^2+144=169$ <em>subtract 144 from both sides</em>

$a^2=25\to a=\sqrt{25}\\\\a=5$

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Answer:

$50.54

Step-by-step explanation:

$66.00 x .30 = $46.80 x .08 = 3.74 + 46.80 = $50.54

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3 years ago

When the radius of a sphere is doubled, what is the resulting change in volume? A) The original volume is doubled. B) The origin

kobusy [5.1K]

Answer:

C

Step-by-step explanation:

The volume (V) of a sphere is calculated using the formula

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If the radius is doubled, that is r = 2r , then

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3 years ago

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

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2 years ago

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1 hour, 32 min, HAHAHA not sure.

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3 years ago

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2 years ago