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Korolek [52]
4 years ago
12

Cos 200. Cos 115- Sin 200. Sin 115=

Mathematics
1 answer:
Harrizon [31]4 years ago
6 0
Cos 200= -0.939692621. cos 115-sin200=-0.080598118 Sin 115=0.906307787
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Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

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Write 4.5kg : 1500g as a ratio in its simplest form
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Answer:

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Taylor buys nail polish from a shop that cost $3.95 each. She has a maximum of $30 to spend on nail polish purchases. The total
kati45 [8]

Answer:

C_t=3.95x,\ 0\leq x\leq 7

Step-by-step explanation:

<u>Modeling With Functions</u>

It's a common practice to try to mathematically represent the relation between two or more variables. It allows us to better understand the behavior of the phenomena being observed and, more importantly, to be able to predict future values.

The specific situation stated in the question relates how Taylor buys nail polish for $3.95 each, with a maximum of $30 to spend. If x is the number of nail polish purchased, then the total cost will be

C_t=3.95x

But we know Taylor has a limited budget of $30, so the total cost cannot exceed that amount

3.95x\leq 30

Solving the inequality for x

x\leq 30/3.95

x\leq 7.6

We round down to

x\leq 7

Of course, the lower limit of x is 0, because Taylor cannot purchase negative quantities of nail polish

Our model is now complete if the state the limits of x, or its domain

\boxed{C_t=3.95x,\ 0\leq x\leq 7}

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3 years ago
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