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Citrus2011 [14]
2 years ago
8

Dan and Paul went shopping at a department store

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
3 0

Answer:

D  4+p=24

Step-by-step explanation:

So P stands for Paul & how much he spent.

Dan spent $24 at the store & he spent $4 more than Paul, so Paul only spent $20.  So P = $20

So which equation would work if you substituted $20 for P?

4 + P = 24

4 + 20 = 24

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Convert into a decimal degree measure. 165° 37' 44"
andrew11 [14]

Answer:

165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)

Step-by-step explanation:

Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.

165 + 37 x 1/60 + 44 x 1/3600

simplify: 74533/450

Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).

4 0
4 years ago
A yes <br>b no <br>c not enough information ​
Reptile [31]

Answer:

yes they are

Step-by-step explanation:

8 0
3 years ago
An equal number of pieces of candy were given to children on Halloween. 30 pieces of candy were given out to boys. 48 pieces of
scoray [572]

Answer:

6 pieces of candy

Step-by-step explanation:

Since an equal number of pieces of candy were given to children on Halloween, and obviously, a different amount of boys and girls were present on Halloween. Since 30 pieces of candy were given out to boys and 48 were given out to girls, a certain amount of candy was given to some amount of boys to equal 30, and that same amount of candy was given to another amount of girls to equal 48. Since we are looking for the greatest number of pieces given to each child, we are looking for the greatest common divisor of 30 and 48, which is 6.

4 0
2 years ago
Marcus bought a booklet of tickets to use at the amusement park. He used 25% of the tickets on rides,
4vir4ik [10]
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3 years ago
Use a double angle or half angle identity to find the exact value of each expression
STatiana [176]

Answer:

Step-by-step explanation:

There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.

We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:

3^2=1^2+y^2 which simplifies to

9=1+y^2 and

y^2=8 so

y=\sqrt{8}=2\sqrt{2} so that's the missing side. Now we can easily determine that

sin\theta=\frac{2\sqrt{2} }{3}

Now we have everything we need to fill in the identity for sin2θ:

2sin\theta cos\theta=2(\frac{2\sqrt{2} }{3})(\frac{1}{3}) and multiply all of that together to get

2sin\theta cos\theta=\frac{4\sqrt{2} }{9}

4 0
3 years ago
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