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seraphim [82]
4 years ago
11

Which pair of ratios is proportional?

Mathematics
1 answer:
Kobotan [32]4 years ago
5 0

Answer:

D. is proportional because both fractions equal 1/2

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Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not. Write an essay, and I'
olga55 [171]

Answer:

It can

Step-by-step explanation:

The sum of two lengths have to be greater than the other one in order to be a triangle. At first glance you can see 24+32 is greater than 40, 40+32 is greater than 24 and 24+40 is greater than 32.

5 0
3 years ago
Read 2 more answers
The area of a rectangle is 72cm square. Length,/, of the rectangle is 6 cm longer than the width w
Butoxors [25]
As you haven't specifically stated what exactly the question is, I will be assuming that the question is most likely asking for what the dimensions ( length and width ) of the rectangle is. With this in mind, I will be answering the question so here I go...


STEP-BY-STEP SOLUTION:

Let's solve this problem step-by-step.

Let's first establish the formula for the area of a rectangle as displayed below:

Area = Length × Width

A = lw

From this, we will establish the values for each of the parts in the area formula using the information given in the problem as displayed below:

A = 72cm^2

l = w + 6

w = w

Now, we will substitute these values into the area formula and then make ( w ) the subject as displayed below:

A = lw

72 = ( w + 6 ) ( w )

72 = w ( w + 6 )

72 = w^2 + 6w

0 = w^2 + 6w - 72

0 = w^2 + 12w - 6w - 72

0 = w ( w + 12 ) - 6 ( w + 12 )

0 = ( w + 12 ) ( w - 6 )


w + 12 = 0

w = 0 - 12

w = - 12


w - 6 = 0

w = 0 + 6

w = 6

As the answer must be positive as measurements are always positive, the answer must be the option which is a positive number.

Therefore:

w = 6

Using the equation we made for the length before, we can substitute the value of ( w ) to obtain the value of the length as displayed below:

l = w + 6

l = ( 6 ) + 6

l = 12


FINAL ANSWER:

The dimensions of the rectangle are:

Length = 12cm

Width = 6cm


Please mark as brainliest if this was helpful! : )
Thank you <3
7 0
4 years ago
The attendence at a water park varies directly as the temperature and invesely as the number of days of rain during the month. I
Margarita [4]
Let A be attendance, t the temperature and n the number of days. Then,
A\alpha\frac{t}{n}
A=k\frac{t}{n}
Where k is a constant of proportionality;
If A=3200, T=88 and n=8, then k,
3200=\frac{88k}{8}
3200=11k
k=\frac{3200}{11}
Rewriting the equation and replacing the value of k,
A=\frac{3200t}{11n}
When t=92 and n=12
The A= \frac{3200*92}{11*12}
A=\frac{294400}{132}
A= 2231
5 0
3 years ago
PLEASE HELP! A) 2.9 B) 9.2 C) 3.3 D) 5
Eva8 [605]

Answer:

9.2 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 57 = x/6

6 tan 57 = x

9.239189783 = x

9.2 =x

5 0
3 years ago
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10^(x+3) = 6^(2x) solve for x
Bumek [7]
10×+30=12×
10×-12×=-30
-2×=-30
×=15
6 0
3 years ago
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