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3 years ago

Which of these side lengths could form a triangle

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

The answer is C) 3,4,5
It is a common 3-4-5 right triangle.
According to Pythagorean theorem, a^2+b^2=c^2 so
9+16=25

You might be interested in

I need help with multiplying polynomials using foil<br><br> Example <br> (X+5)(x-6)

MArishka [77]

Well (x+5)(×-6)
x*x =x2
x*-6=-6x
x*5 = 5x
5*-6= -30
add them all together to get x2-x-30.
I hope this is what you were asking

3 0

3 years ago

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the

Komok [63]

Answer:

D) q + d = 330

0.25q + 0.1d = 6

Step-by-step explanation:

Let q= numbers of quarters

d = number of dimes

q + d = 33 ...........(1)

q = 33 - d

xq + yd = 6 ..........(2)

We will consider the options to know the correct answer

From option A

q +d = 6

25q + 10d = 33

This is wrong

Option B

q + d = 60

0.25q + 0.1d = 33

This is also wrong

Option C

q+d = 33

25q + 10d = 6

Put q = 33 -d in equation 2

25(33 - d) + 10q = 6

825 - 25d + 10d = 6

825 - 15d = 6

-15d = 6-825

-15d = -819

d = -819/-15

d= 54.6

This is also wrong because d exceeds the combination.

Option D

q+d = 33

0.25q + 0.1d = 6

Put q = 33 -d in equation 2

0.25(33 - d) + 0.1d = 6

8.25 - 0.25d + 0.1d = 6

8.25 - 0.15d = 6

-0.15d = 6 - 8.25

-0.15d = -2.25

d = -2.25/ -0.15

d = 15

q = 33 - 15

q = 18

This is correct

5 0

3 years ago

Read 2 more answers

Which number is located at Point A on the number line?

taurus [48]

Answer:

-4

Step-by-step explanation:

-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10

^ ^

the ^ on the left is -5 and one number over is 4 which is the ^ on the right

6 0

3 years ago

There are 9 students in a class: 7 boys and 2 girls.

Nutka1998 [239]

Answer:

The answer is 2 out of 3

Step-by-step explanation:

Since there are only 2 girls in the class. The probability of 2 girls in the same group is low. The maximum chance of the group being all boys is 2 out of 3. The minimum is 1 out of 3, because the girls can be olin different groups.

4 0

3 years ago

A lake currently has a depth of 30 meters. As sediment builds up in the lake, its depth decreases by 2% per year. This situation

lubasha [3.4K]

Answer:

This situations represents the depth of the lake after t years.

The rate of decay is equal to 0.02 a year.

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take 5.77 years for the depth of the lake to reach 26.7 meters.

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount is given by:

$D(t) = D(0)(1-r)^t$

In which D(0) is the initial amount and r is the decay rate, as a decimal.

A lake currently has a depth of 30 meters. As sediment builds up in the lake, its depth decreases by 2% per year.

This means that $D(0) = 30, r = 0.02$

$D(t) = D(0)(1-r)^t$

$D(t) = 30(1-0.02)^t$

$D(t) = 30(0.98)^t$

This situation represents

The depth of the lake after t years.

The rate of growth or decay, r, is equal to

The rate of decay is equal to 0.02 a year.

So the depth of the lake each year is times the depth in the previous year.

1 - 0.02 = 0.9

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take between years for the depth of the lake to reach 26.7 meters.

This is t for which D(t) = 26.7. So

$D(t) = 30(0.98)^t$

$26.7 = 30(0.98)^t$

$(0.98)^t = \frac{26.7}{30}$

$\log{(0.98)^t} = \log{\frac{26.7}{30}}$

$t\log{(0.98)} = \log{\frac{26.7}{30}}$

$t = \frac{\log{\frac{26.7}{30}}}{\log{0.98}}$

$t = 5.77$

It will take 5.77 years for the depth of the lake to reach 26.7 meters.

4 0

2 years ago