All categories

3 years ago

Angle 1 is 135

Mathematics

1 answer:

Stels [109]3 years ago

8 0

Answer:

Step-by-step explanation:

di ko po alam kung tama ba

(sana po makatulong po)

You might be interested in

Simply your expression<br> 4[(12-2) ²÷4]

lina2011 [118]

Answer:

100

Step-by-step explanation:

Simplify the following:

4 (12 - 2)^2/4

Hint: | Express 4 (12 - 2)^2/4 as a single fraction.

4 (12 - 2)^2/4 = (4 (12 - 2)^2)/4:

(4 (12 - 2)^2)/4

Hint: | Cancel common terms in the numerator and denominator of (4 (12 - 2)^2)/4.

(4 (12 - 2)^2)/4 = 4/4×(12 - 2)^2 = (12 - 2)^2:

(12 - 2)^2

Hint: | Subtract 2 from 12.

| 1 | 2

- | | 2

| 1 | 0:

10^2

Hint: | Evaluate 10^2.

| 1 | 0

× | 1 | 0

| 0 | 0

1 | 0 | 0

1 | 0 | 0:

Answer: 100

8 0

3 years ago

Twice the difference of x and 5

Novosadov [1.4K]

Answer:

2*(x-5) = -33, so x-5 = -16.5, so x = -11.5

This is assuming that "the difference between a and b" is a-b, which seems to be the accepted interpretation.

7 0

3 years ago

A small business has 15 full-time employees. How many people does the small business employ if the full-time workers make up 30%

Alexxx [7]

Answer:

50 employees

Step-by-step explanation:

The total number of employees the business has will have to be made up the full-time employees and part-time employees.

The number of full-time employees = 15

Let the total number of employees = x

$15 = 30 percent of x$

$15 = 30/100 \times x\\x=1500/30 = 50$

The company has a total of 50 employees

6 0

3 years ago

X2 + 45x = -200 Using the quadratic formual and the discirimnat

dybincka [34]

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

$b^{2}-4ac$

Every quadratic formula has the structure:

$ax^{2} +bx+c=0$

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

$x^{2} +45x+200=0$

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

$(45)^{2} -4(1)(200)$

Solve:

$2025-800=1225$

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

$x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}$

(Same discriminant value)

$x=\frac{-45+/-35}{2}$

Now to find the two solutions, we use both signs in the equation. Solution 1:

$x=\frac{-45+35}{2}$

$x=\frac{-10}{2}=-5$

Our first solution is -5, now for the second:

$x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40$

The two solution to this equation are -5 and -40.

Hope this helped!

7 0

3 years ago

A marketing research consultant hired by Coca-Cola is interested in determining if the proportion of customers who prefer Coke t

nasty-shy [4]

Answer:

1) test is one tail hypothesis test.

2) 110 sampled customers must have favored Coke.

3) at 5% significance, We cannot conclude that the proportion of customers who prefer Coca-Cola exceeds 50%.

4) at 1% significance level, the conclusion would not change.

Step-by-step explanation:

1) Let p be the proportion of customers who prefer Coke to other brands

$H_{0}$ : p=0.50

$H_{a}$ : p>0.50

Since the alternative hypothesis claims p <em>more than</em> 0.50, this test is one tail hypothesis test.

2) Out of a random sample of 200 consumers, 55% favored Coca-Cola over other brands. Thus 200 × 0.55 = 110 sampled customers must have favored Coke.

3) at 5% significance level, p-value =0.07761 >0.05, therefore we fail to reject the null hypothesis. We cannot conclude that the proportion of customers who prefer Coca-Cola exceeds 50%.

4) at 1% significance level, p-value =0.07761 >0.01, thus the conclusion does not change

6 0

3 years ago