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3 years ago

One side of triangle is half the longest side. The third side is

1 answer:

6 0

Let S be the first side.
Longest side is then 2S.
Third side is 2S-10.
Perimeter is sum of all three sides = S+2S+2S-10 = 75
=>
5S-10=75
5S=75+10=85
S=17

Therefore
S=17 is the first side.
Longest side is then 2S=2*17=34.
Third side is 2S-10=2*17-10=24.

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barons "A salad bar has 7 ingredients, excluding the dressing. How many different salads are possible where two salads are diffe

gizmo_the_mogwai [7]

Answer: 128

Step-by-step explanation:

Given : Total ingredients =7

When we select any one of ingredient for salad, then total choices for each ingredient = 2 (Yes or No)

So for all 7 ingredients there will be $2\times2\times2\times2\times2\times2\times2=2^7=128$ choices [By fundamental principle of counting]

Hence, there are 128 different salads are possible where two salads are different if they don't include identical ingredients

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3 years ago

Round 2,329.48 to the nearest hundred

Nataly [62]

Answer:

Find the number in the hundred place

and look one place to the right for the rounding digit

. Round up if this number is greater than or equal to

and round down if it is less than

ANSWER: 2300

Step-by-step explanation:

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3 years ago

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choose the expression that represents the fraction as a product of a whole number and a unit fraction 4/10

Verdich [7]

Answer:

Step-by-step explanation:

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3 years ago

What is the domain of the function

rodikova [14]

$\mathsf{Given \ function \ is : 2\sqrt{x - 6}}$

We can see that there is a square root in the function.

As the value inside the square root should always be positive, We can conclude that (x - 6) should always be positive and can also be equal to zero.

$\implies \mathsf{x - 6 \geq 0}$

$\implies \mathsf{x \geq 6}$

$\implies \mathsf{6 \ \leq \ x \ < \ \infty}$

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4 years ago

You want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at an apr of

qwelly [4]

The present value of an annuity is given by

$PV= P\left(\frac{1-\left(1+ \frac{r}{t}\right)^{-nt} }{ \frac{r}{t} } \right)$

where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.

Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.

$51,800= P\left(\frac{1-\left(1+ \frac{0.078}{12}\right)^{-4\times12} }{ \frac{0.078}{12} } \right) \\ \\ =P\left(\frac{1-(1+ 0.0065)^{-48} }{ 0.0065 } \right)=P\left(\frac{1-(1.0065)^{-48} }{ 0.0065 } \right) \\ \\ =P\left(\frac{1-0.7327}{ 0.0065 } \right)=P\left(\frac{0.2673}{ 0.0065 } \right)=41.12P \\ \\ \Rightarrow P= \frac{51,800}{41.12} =\$1,259.73$

Therefore, the <span>monthly payment is $1,259.73</span>

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4 years ago

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