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bagirrra123 [75]
3 years ago
10

The model represents an inequality. what is the solution set for the inequality?

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

X > (greater than or equal to) -7

Step-by-step explanation:

3x + 15 > -6

3x > -21 (subtract 15 from both sides)

X > -7 (divide both sides by 3)

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How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?
antiseptic1488 [7]
We can use the Sine Law:a / sin A = b / sin B2 / sin 75° = 3 / sin B2 / 0.966 = 3 / sin B  ( after that we will cross multiply )
2 sin B = 3 · 0.9662 sin B = 2.898sin B = 2.898 : 2sin B = 1.499 > 1  ( it is not possible )Answer:  A ) No triangles can be formed.


8 0
3 years ago
If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool
anyanavicka [17]
<h3>Answer:  5/14 gallons</h3>

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

8 0
3 years ago
The legs of a right triangle are 8 and 9 units long. What is the area of the triangle in square units?
lapo4ka [179]

Answer:

36 Hope this helps Im so sorry if this is wrong.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
50 POINTS NEED ANSWER ASAP please! Among these figures, figure blank(A,B,CE), and figure blank(D,E) have the same volume.
Crank

Answer:

Step-by-step explanation:

what is the question?

3 0
3 years ago
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Solve<br> (-4 + -7)(-3) <br> please!!!!!!!!!!!!!!!!!!!!!!!!!
miss Akunina [59]

So you add whats in parentheses first which gives you -11 then you end up with -11(-3)

Which will equal 33 Thats your final awnser...

33

6 0
2 years ago
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