Consider the following information.

A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet

attashe74 [19]

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a= 145ft ,

b = 257ft ,

c = 290ft

calculate the area of the base

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

= ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{346(201)(89)(56)}$

= 18617.66 ft^2

3 0

2 years ago

jimmy is moving to a new apartment. he fills a box with 4 books, 5 DVDs, and 2 CD's. when he starts unpacking his new place he p

pav-90 [236]

Answer:

$\frac{2}{11}$

Step-by-step explanation:

First, find the probability of him pulling out a book.

There are 11 objects in total, and there are 4 books.

So, the probability of pulling out a book is $\frac{4}{11}$

Next, find the probability of him pulling out a DVD after.

Since a book was taken out, there are only 10 objects left. There are 5 DVDs.

So, the probability of pulling out a DVD is $\frac{5}{10}$ , or simplified to $\frac{1}{2}$

To find the probability that this happens in order, multiply the probabilities:

$\frac{4}{11}$ x $\frac{1}{2}$

= $\frac{2}{11}$

So, the probability is $\frac{2}{11}$

7 0

2 years ago

Which of the following is a counterexample for this conditional statement?If an appliance is used for cooling, then it is a refr

Nezavi [6.7K]

Explanation

We are asked to give a counter-example for the given statement

A counter-example is an example that opposes or contradicts an idea or statement.

Therefore, for the statement

we have that

Statement: If an appliance is used for cooling

Conclusion: then it is a refrigerator

Then, the option that contradicts this, will be a clothes dryer

Because a dryer doesn't cool

Hence, the answer is a cloth dryer

option D

4 0

3 months ago

Solve for x in the parallelogram. The solution is x= units.

natka813 [3]

$\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x$

5 0

1 year ago

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. W

arsen [322]

Given that,

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.

For peanut, the cost is ratio is

$\dfrac{5}{3}$

For beef, the ratio is

$\dfrac{7}{4.2}$

If we take cross product of these items,

$\dfrac{5}{3}=\dfrac{7}{4.2}\\\\5\times 4.2=3\times 7\\\\21=21$

It implies, that the sale is in true proportion. From the cross product, we find that it is equal.

7 0

2 years ago

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