Find the measure of the indicated angle: A) 68° C) 45° B) 47° D) 940

Marie buys 16 bags of potting soil that comes in 5 - 8 pound bags. If Marie's father calls and he needs 13 pounds of potting soi

vesna_86 [32]

One bag of 5 pounds and one bag of 8 pounds

4 0

3 years ago

Valeriya wants to determine the likely voting outcome for the new town council election. Which sample is likely to yield the mos

FromTheMoon [43]

I guess that it would be A because people working in the largest corporation might have differing opinions from people who do not work in big companies/corporations. There's different benefits that people can receive based on their working place. Perhaps the people working in the largest corporation might only represent the upperclass but there's also others who do not work in the corporations and might not have the benefits that one can receive if they have a good pay as the upperclass.

3 0

3 years ago

Read 2 more answers

Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary

daser333 [38]

750+.0725(4500)=$1076.25

3 0

3 years ago

Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, -4>, v = <-4, -3> (1 point)

sesenic [268]

Angle between $u = -5i-4j , v=-4i-3j$ is $x =0$ ° .

Step-by-step explanation:

We have , two vectors u = <-5, -4>, v = <-4, -3> or , $u = -5i-4j , v=-4i-3j$

We need to find angle between these two vectors . Let's find out:

We know that dot product of two vectors is defined as :

$u.v =|u|(|v|)cosx$ , where x is angle between u & v !

⇒ $u.v =|u|(|v|)cosx$

⇒ $cosx =\frac{u.v}{|u|(|v|)}$

Now , $u.v = (-5i-4j)(-4i-3j)$

⇒ $u.v = (-5i-4j)(-4i)-(-5i-4j)(3j)$

⇒ $u.v = 20+12$ { $i(j) = j(i) =0$ }

⇒ $u.v = 32$

Now , Modulus of any vector $r = xi+yj$ is $|r| = \sqrt{x^{2}+y^{2}}$ So ,

$|u| = \sqrt{(-5)^{2}+(-4)^{2}} = \sqrt{25+16} = \sqrt{41} \\\\|v| = \sqrt{(-4)^{2}+(-3)^{2}} = \sqrt{16+9} = \sqrt{25} = 5$

Putting all these values in equation $cosx =\frac{u.v}{|u|(|v|)}$ we get:

⇒ $cosx =\frac{32}{5(\sqrt{41})}$

⇒ $cos^{-1}(cosx) =cos^{-1}(\frac{32}{5(6.4)})$

⇒ $x =cos^{-1}(1)$ { $cos0 = 1$ }

⇒ $x =0$ °

Therefore , Angle between $u = -5i-4j , v=-4i-3j$ is $x =0$ ° .

8 0

3 years ago

your job is to decide which of a set of given numbers is the smallest. how many comparisons (of 2 numbers at a time) do you have

kap26 [50]

If I have eight numbers and i am tasked to decide which of the set of given numbers is the smallest comparing 2 numbers at a time, I will have 28 comparisons in all. Trying all combinations for the first number, you have 7. Trying all combinations for the second number nit including its comparison to the first number (because it will be redundant), you will have 6 comparisons an so on. Adding it all up, you have 7+6+5+4+3+2+1=28.

7 0

3 years ago