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2 years ago

determine if the given information would form a unique triangle, many different triangles, or no triangles. 8 feet and 11 feet

Mathematics

1 answer:

Ugo [173]2 years ago

6 0

Answer:

many different triangles.

Step-by-step explanation:

The given information is the length of two sides of a triangle, these lengths are:

8ft and 11ft

So the third side can have different lengths (notice that we do not have any restriction in the angles neither)

Then the third side has a lot of different possible lengths, this means that we can make many different triangles with this information.

Remember that one of the criteria for congruent triangles is SSS, (side side side)

So if we know 3 sides, there is only one triangle that can be made with these sides, but if we only know two sides this is not the case.

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Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares

pashok25 [27]

Answer:

The correct option is c) a loss of $8.

Step-by-step explanation:

Consider the provided information.

If the selling price of two item is same and one item sold at a profit of x % and other at a loss of x % in that case total sale result loss:

To calculate the loss use the formula: $Loss\ \%=(\frac{x}{10})^2\ \%$

It is given that he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, where the selling price is $96 each.

That means the total sale result will be a loss.

Now use the above formula by substitute x=20.

$Loss\ \%=(\frac{20}{10})^2\ \%\\\\Loss\ \%=4\ \%$

It is given that the sales price is $96 of each that means total sales price is:

$96+$96=$192

Let the cost price of the shares were x.

According to question: x-4% of x = 192

$x-\frac{4}{100}\times x = 192\\\\x-0.04x = 192\\\\0.96x = 192\\x = 200$

Hence, the cost price of the shares was 200.

Loss = Cost price -Sales price

Loss = $200 - $192

Loss = $8

Hence, the correct option is c) a loss of $8.

8 0

3 years ago

A wildfire is spreading at an alarming rate. The wildfire begins at a size of 8 square feet. It then doubles its width every x h

Mrac [35]

Answer:

$14000=8\times 2^{x+y}$

Step-by-step explanation:

The wildfire begins at a size of 8 square feet

It means that initial area =8

It then doubles its width every x hours,

and doubles its length every y hours

so, we can set up equation

$A(x,y)=8(2)^x\times (2)^y$

now, we can simplify it

$A(x,y)=8(2)^{x+y}$

we are given

After a period of time, the wildfire covers 14,000 square feet

so, we can set A(x,y)=14000

we get

$14000=8(2)^{x+y}$

$14000=8\times 2^{x+y}$

7 0

3 years ago

a boat takes 8 hours to go 6 miles upstream and come back to the starting point. if the speed of the boat is 4 miles per hour in

Romashka-Z-Leto [24]

Consider this option:
1. if to re-write the condition, it is given: total time t=8 hours; upstream=downstream=6 miles; V_boat=4 m/h., V_current=V=?
2. note, that total time=time_upstream+time_downstream, where time_upstream=6miles/(V_boat-V) and time_downstream=6miles/(V_boat+V). Using this it is possible to make up and solve the following equation:
$\frac{6}{4+V} + \frac{6}{4-V} =8; \ =\ \textgreater \ \ \frac{V^2-10}{16-V^2}=0; \ =\ \textgreater \ \ V=\sqrt{10} \ \frac{miles}{hour}$

answer: √10

P.S. the roots of the equation are √10 and (-√10), only positive values is needed for V.

7 0

3 years ago

What is the sum of the solutions to (x − 6)(x + 0.7) = 0 ?

Nonamiya [84]

Answer:

5.3

Step-by-step explanation:

(x − 6)(x + 0.7) = 0

using the zero product property

x-6=0 x+.7 =0

x-6+6 = 0+6 x+.7 -.7 = 0-.7

x = 6 x= -.7

sum of the solutions

6+-.7 = 5.3

5 0

3 years ago

Read 2 more answers

Please help me Simplify 3✔️2 - ✔️2

MAXImum [283]

$\bf \stackrel{like~terms}{3\sqrt{2}-\sqrt{2}}\implies 2\sqrt{2}$

3 0

3 years ago