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podryga [215]
3 years ago
13

An isosceles triangle has a perimeter of 8.5 cm. A second isosceles triangle, whose base is equal to that of the first but whose

legs are twice as long of the first, has a perimeter of 15.5 cm. Find the lengths of the sides of each triangle.
Show all steps for points!
Mathematics
1 answer:
shepuryov [24]3 years ago
7 0
So you have length
l=legs and b=base
the first perimeter is 2l+b=8.5 since there are 2 legs
the second perimeter is 4l+b=15.5 since the legs are now 2l long instead of l
subtract the top problem from the bottom problem
(4l+b)-(2l+b)=15.5-8.5
2l=7 so l=3.5
if l=3.5 and 2l+b=8.5, 7+b=8.5, so b=1.5
check by plugging it into the second perimeter
4(3.5)+1.5=15.5-->14+1.5=15.5      it's correct yay!

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4 0
3 years ago
You go to a local mechanic to get your tires changed. The tires cost $300. There is a 6% sales tax, but you get a 10% discount.
Romashka-Z-Leto [24]

Answer:

a) T(x)=300x+18x=318x

b) D(x)=318x-(0.1)(318)+10x\\=296.2x

c) Yes.

Step-by-step explanation:

We have that:

Tires=$300\\Tax=0.006\\Discount=0.1\\

And we have $10 free of taxes.

Making x= number of tires to buy, then we have that the total cost of tires is:

Total_{Tires}=300x

So, what we pay for taxes is given by:

Taxes=(300x)(0.06)=18x

a) Then, according to the above, we can write down the total cost before the discount as:

T(x)=300x+18x=318x

b) And the total cost after discounts, is then given by:

D(x)=318x-(0.1)(318)+10x\\=296.2x

c) If the discount is added first, then less tax will be paid because the amount on which it is paid is lower. If the discount is added later, then the taxes will have been taxed on a higher amount, so it does matter whether they are added first or later.

6 0
3 years ago
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
sergiy2304 [10]

Answer:

<h3>B. -84</h3>

Step-by-step explanation:

Taking the determinant of the matrices we will have;

= 4x(5y) - 2x(3y)

= 20xy - 6xy

= 14xy

Given x = -2 and y = 3

Determinant = 14(-2)(3)

Determinant = -28*3

Determinant = -84

4 0
2 years ago
The sum of two consecutive odd integers is 188. list the numbers from smallest to largest:
mixer [17]
X and x+ 2 equal 188
add all the like terms to get 2x+2=188
subtract 2 from each side
2x=186
divide by 2
x=93
so the numbers are 93 and 95

3 0
3 years ago
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