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4 years ago

Simplify (x+2)(x+6) using grouping, and write the resulting expression in standard form

Mathematics

1 answer:

Vlad1618 [11]4 years ago

8 0

Answer:

(x+8)

Step-by-step explanation:

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Carl bought a pair of jeans for $25 at a store in California where the sales tax is 6.5% he was charged $1.45 in sales tax is th

sasho [114]

This is not correct because 6.5% of 25 is 1.63

3 0

4 years ago

Find the sine ratio of angle Θ. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no s

uysha [10]

Answer:

12/13

Step-by-step explanation:

Sine is equal to Opposite over hypotenuse. The opposite side of an angle in a triangle is the one that it does not touch. AB is the opposite side of C here.

The hypotenuse is the line that does not create the right angle. In this triangle that is BC.

We already know the measurements of these sides, so we just need to plug them in.

SinC = 12/13

5 0

4 years ago

The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after

Artist 52 [7]

Answer:

226 grams

Step-by-step explanation:

This will be an exponential function. The formula for exponential functions and half life is A=Ao * (1/2)^(t/h)

A stands for final amount, Ao for initial amount, 1/2 is the decaying factor (after a half life, one mg becomes 1/2 mg), t stands for time, and h is the half life.

To solve your problem, the equation would be A=904 * (1/2)^(70/35)

The parentheses are necessary for your calculator or else you will get the wrong answer.

7 0

4 years ago

Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?

koban [17]

The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is $AL= \frac{ \beta }{360} *2 \pi r$ . Notice the "2*pi*r" which is the circumference formula. The area of a sector is $A s= \frac{ \beta }{360} * \pi r ^{2}$ . Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly, $6 \pi = \frac{ \beta }{360} *2 \pi (18)$ . Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly, $A_{s} = \frac{60}{360} * \pi (18) ^{2}$ , and $A_{s} =54 \pi$ . When you multiply in the value of pi, you get that your area is 169.65 in squared.

8 0

3 years ago

Twelve is six times the difference between a number and three. find the number.

melisa1 [442]

12=6(x-3)
12=6x-18
30=6x
5=x

7 0

3 years ago