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V125BC [204]
3 years ago
9

Is 10/3 equivalent to 70/21

Mathematics
1 answer:
slava [35]3 years ago
7 0
Yes because if you divide both, the numerator and denominator, by 7 it would simplify  to 10/3, so they are equivalent.
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the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle
inna [77]

Answer:

2m

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

A = \frac{1}{2}bh

They give us the area as 6m^2, so let's include it in the equation.

6 = \frac{1}{2}bh

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that h = b-4

So replace h in the equation with b-4.

You will now get:

6 = \frac{1}{2}b(b-4)

Now we can work towards solving. Let's get simplifying.

12 = b(b-4)\\12 = b^2 - 4b\\

bring everything to one side so we can make a quadratic and factor:

0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2

We get that b=6.

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that h = b - 4, so to find h, we just sub in our b value into that.

h = (6) - 4 = 2

We find that h=2

7 0
2 years ago
Which of the following statements is not true?
Daniel [21]

Answer:

3

Step-by-step explanation:

Those are factors of 9 not multiples

3 0
3 years ago
Read 2 more answers
.Calculate the time in which ₦1,500 will amount to ₦9,000 at 20% per annum.
katovenus [111]

Answer:

30 yrs

Step-by-step explanation:

SI = PRT/100

T = I × 100/PR

= 9000×100/1500×20

= 900000/30000

= 30 yrs

3 0
3 years ago
PLSSSS HELP Which number is not in the correct location?​
neonofarm [45]
The answer is -7, because a whole number is any number between zero and POSITIVE infinity. Negative seven does not fall under this.
4 0
3 years ago
Are the triangles named below congruent? Justify your answer.<br> AABC<br> AAED
Anni [7]
Yes, sides AC and AD are congruent and lines BC and DE are also congruent. They also share angle A and bc of the SSA congruence Theorem that means they are congruent.
4 0
2 years ago
Read 2 more answers
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