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Kazeer [188]
3 years ago
12

George has $23 to spend on art supplies he wants to buy markers papers and glue if the total cost of markers and papers is more

than $14 which inequality represents the dollar amount P George can spend on glue
Mathematics
1 answer:
Mariana [72]3 years ago
5 0
P< 9
i think that is the correct answer

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If f(x)=x-3, g(x)=x^2+1 and h(x) = -4x+1 , find f(g(2))?
natka813 [3]
F(g(2))
g(2)=2^2+1=4+1=5
f(5)=5-3=2
f(g(2))=2
8 0
3 years ago
You have two lines. Line A measures 12/16, and line B measures 3/4.
hram777 [196]

Answer:

B

Step-by-step explanation:

Let's compare the two values of 12/16 and 3/4.

Notice that 12/16 isn't a simplified fraction; both the numerator and denominator are divisible by 4. So divide the top and bottom by 4:

12 / 4 = 3

16 / 4 = 4

We are left with:

12/16 = 3/4

Now, we see that Line A and Line B are equal in length, so the answer is B.

<em>~ an aesthetics lover</em>

8 0
3 years ago
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Given: △ABC, AB=5sqrt2 <br> m∠A=45°, m∠C=30°<br> Find: BC and AC
Marysya12 [62]

BC is 10 units and AC is 5+5\sqrt{3} units

Step-by-step explanation:

Let us revise the sine rule

In ΔABC:

  • \frac{AB}{sin(C)}=\frac{BC}{sin(A)}=\frac{AC}{sin(B)}
  • AB is opposite to ∠C
  • BC is opposite to ∠A
  • AC is opposite to ∠B

Let us use this rule to solve the problem

In ΔABC:

∵ m∠A = 45°

∵ m∠C = 30°

- The sum of measures of the interior angles of a triangle is 180°

∵ m∠A + m∠B + m∠C = 180

∴ 45 + m∠B + 30 = 180

- Add the like terms

∴ m∠B + 75 = 180

- Subtract 75 from both sides

∴ m∠B = 105°

∵ \frac{AB}{sin(C)}=\frac{BC}{sin(A)}

∵ AB = 5\sqrt{2}

- Substitute AB and the 3 angles in the rule above

∴ \frac{5\sqrt{2}}{sin(30)}=\frac{BC}{sin(45)}

- By using cross multiplication

∴ (BC) × sin(30) = 5\sqrt{2} × sin(45)

∵ sin(30) = 0.5 and sin(45) = \frac{1}{\sqrt{2}}

∴ 0.5 (BC) = 5

- Divide both sides by 0.5

∴ BC = 10 units

∵ \frac{AB}{sin(C)}=\frac{AC}{sin(B)}

- Substitute AB and the 3 angles in the rule above

∴ \frac{5\sqrt{2}}{sin(30)}=\frac{AC}{sin(105)}

- By using cross multiplication

∴ (AC) × sin(30) = 5\sqrt{2} × sin(105)

∵ sin(105) = \frac{\sqrt{6}+\sqrt{2}}{4}

∴ 0.5 (AC) = \frac{5+5\sqrt{3}}{2}

- Divide both sides by 0.5

∴ AC = 5+5\sqrt{3} units

BC is 10 units and AC is 5+5\sqrt{3} units

Learn more:

You can learn more about the sine rule in brainly.com/question/12985572

#LearnwithBrainly

6 0
3 years ago
If one pound of water has a mass of 453.6 grams, what would be the mass of 2.2 pounds of water?
iren2701 [21]
The answer would be 997.92
8 0
3 years ago
Add the following numbers a)and b)<br>answers please ​
Drupady [299]
Answer: a) 3 2/3, b) 5 2/5

Explanation:

a) 5/3 + 6/3 = 11/3 = 3 2/3

b) 12/5 + 15/5 = 27/5 = 5 2/5
4 0
2 years ago
Read 2 more answers
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