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Mrac [35]
2 years ago
8

If five times a whole number increased by 3 is less than 13, then find the solution set.​

Mathematics
1 answer:
Tanzania [10]2 years ago
6 0
The equation: 5n+3< 13 simplified to: n<2
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Factor 6y^2(y^2+6y+9) completely.
natali 33 [55]

6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y   + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)

7 0
2 years ago
Andrea was watching her brother in the ocean and noticed that the waves were coming into the beach at a frequency of 0.367347 Hz
anygoal [31]

Answer:

<u>18 waves</u> hit the beach in 49 s.

Step-by-step explanation:

Given:

The frequency of the waves that were coming into the beach is 0.367347 Hz.

Now, to find the number of waves that hit the beach in 49 s.

Let the number of waves be n.

The frequency of waves (f) = 0.367347 Hz.

The time it takes to hit the beach (t) = 49 s.

Now, we put formula to get the number of waves:

f=\frac{n}{t} \\\\0.367347=\frac{n}{49} \\\\Multiplying\ both\ sides\ by\ 49\ we\ get:\\\\18.000003=n\\\\n=18.000003.

<u><em>The number of waves = 18.</em></u>

Therefore, 18 waves hit the beach in 49 s.

8 0
3 years ago
One of the largest pizzas ever made had a diameter of 80 yards. To the nearest square yard, what is the area of this pizza?
ladessa [460]

Answer: The area is 5024 yrd^2

Step-by-step explanation:

80 is the diameter to we need to divide it by 2 to find the radius

80/2= 40

A= 3.14* 40^2

A = 3.14 * 1600

A= 5024

5 0
3 years ago
Given: ABCD is a ∥-gram, BF ⊥ CD , BE ⊥ AD, Prove: △ABE∼△CBF
drek231 [11]

Answer:

Hence proved △ABE∼△CBF.

Step-by-step explanation:

Given,

ABCD is a parallelogram.

BF ⊥ CD    and

BE ⊥ AD

To Prove : △ABE∼△CBF

We have drawn the diagram for your reference.

Proof:

Since ABCD is a parallelogram,

So according to the property of parallelogram opposite angles are equal in measure.

\therefore m\angle A = m\angle B ⇒1

And given that BF ⊥ CD and BE ⊥ AD.

So we can say that;

m\angle F=m\angle E=90\° ⇒2

Now In △ABE and △CBF

∠A = ∠C   (from 1)

∠E = ∠F    (from 2)

So by A.A. similarity postulate;

△ABE∼△CBF

7 0
3 years ago
What is 9 to the power of 4 times 7 to the power of 2
natta225 [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
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