3) 21а⁹ - ба⁴
Factor by GCF​

On moving a distance of 20m towards the foot of the cliff the angle of

elevation increases to 60° .

The situation forms 2 right angle triangle.

The height of the cliff is the opposite side of the 2 triangles formed.

Using trigonometric ratio, the bigger triangle  can be represented as

follows:

tan 30 = opposite / adjacent

Let the distance from point Q to the foot of the cliff be d.

Therefore,

tan 30° = 17.3 / d

d = 17.3 / tan 30

d = 17.3 / 0.57735026919

d = 29.9644789709

d ≈ 30 m

Let's find the new angle when he moves 20 m towards the foot of the cliff.

The smaller triangle formed is used to find the new angle.

Therefore,

The new distance  from the foot of the cliff (adjacent side) = 30 - 20  = 10 m

tan x° = 17.3 / 10

tan x° = 1.73

x = tan ⁻¹ 1.73

x = 59.9705982385

x  ≈ 60°

learn more: https://brainly.com/question/23910946?referrer=searchResults

To find the tax we have to multiply the percent by the cost.

Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.

7 / 100 = .07

Now lets multiply:

25 * .07 = 1.75

This means that our sales tax is A) $1.75.

I hope this helps! :)

Answer:0.5580

Step-by-step explanation:

Answer:

there a answer I'm not good in math

Answer:

5/6 pieces

Step-by-step explanation:

1 4/6 + 1 3/6 = 3 1/6

3 6/6 - 3 1/6 = 5/6

10/6 + 9/6 = 19/6

4/1  = 24/6

24/6 - 19/6 = 5/6

odp.: Zostało mu 5/6 pizzy.

Answer:

  C.  x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)

Step-by-step explanation:

You are given y = -x² +4x -3.

For quadratic y = ax² +bx +c,  the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.

The y-intercept is the constant (c), so is -3. That eliminates choice D.

The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.

The only remaining answer choice is the correct one: choice C.

Answer:

mean = 93

mode(s) = 90 and 94

median = 93

Step-by-step explanation:

[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]

[tex]\sf{mean = \frac{744}{8} }[/tex]

[tex]\bf{mean = 93}[/tex]

.

mode(s) = 90 and 94

.

sort from smallest

90, 90, 91, 92, 94, 94, 95, 98

median :

[tex]\sf{median = \frac{92 + 94}{2} }[/tex]

[tex]\sf{median = \frac{186}{2} }[/tex]

[tex]\bf{median = 93}[/tex]

The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.

Answer and Explanation:

What is given;

Students 27%. (s)

Teachers and employees 94%. (t)

The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.

So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.

As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.

Answer:

A  expresses the ASSOCIATIVE PROPERTY OF ADDITION.

Step-by-step explanation:

Step-by-step explanation:

you should add the equation for one to answer

Answer:

B

Step-by-step explanation:

There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle

4 countries could be first

3 countries could be second

2 countries could be 3rd

1 country can be last.

4*3 * 2 * 1 = 24 different ways.

Answer:

20 questions

Step-by-step explanation:

12/15 can be reduced to 4/5

you can create a ratio like the following:

4/5 = x/25

cross-multiply to get:

5x = 100

x = 20

Answer:

all of the above

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

Answer: 12

2 + 10

12

:)

Answer: 12

Step-by-step explanation: just add 2 to 10

[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]

[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]

[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]

[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]

Now

[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]

[tex]\\ \sf\longmapsto AC^2=49+81[/tex]

[tex]\\ \sf\longmapsto AC^2=130[/tex]

[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]

Answer:

Step-by-step explanation:

Monthly rate:

So if we convert $2840 per month into year that would be: 2840 * 12 (that's how many months in a year) = 34,080

Weekly rate:

There are approximately 4.345  weeks per month since it sometimes changes. So, to find the wage per month: 650 * 4.345  = 2824.25. To find the yearly rate multiply it by 12. So, 2824.25 * 12 = 33,891

Hourly rate:

Yearly Salary : $35,100

$18 per hour

Mode is the bailie that is listed the most.

There are 5 3’s which is the most of any of the values given.

Mode = 3

Hello!

The mode is the number that is seen most often in the given dataset.

Let's take a look at all the numbers:

1 is seen twice

2 is seen once

3 is seen 5 times

4 is seen 4 times

So 3 is the mode. Hope it helps. Please ask me if you have any questions.

~An excited gal

#CarryOnLearning

[tex]MagicalNature[/tex] here to help

Answer:

A and B

Step-by-step explanation:

a) -x+0+(-x)=0

Combine like terms.

-2x+0=0

Subtract 0 from both sides.

-2x=0

Divide both sides by -2.

x=0

b) -x-(-x)=0

Remove parentheses.

-x+x=0

Combine like terms.

0=0

Hope this helps :)

Answer:

4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.

Answer:

i

Step-by-step explanation:

i think it is a. ..........

9514 1404 393

Explanation:

Put the given value of x into the expression and evaluate it.

x, 10(x +6), y = 10x +60

2, 10(2 +6), y = 10(8) = 80

4, 10(4 +6), y = 10(10) = 100

6, 10(6 +6), y = 10(12) = 120

8, 10(8 +6), y = 10(14) = 140

4

Step-by-step explanation:

Answer:

(3x-9x)+12y-6y=21-15

-6x+6y=6.

I think that is the answer

Answer:

Step-by-step explanation:

Solve the system by elimination.

Divide the second equation by 3 and add to fist equation:

Find the value of x:

Answer:

The socks are 40% off, and it is decreased to 60%.

Step-by-step explanation:

:))

Answer:23/10 pounds heavier

Step-by-step explanation:

first we transform the mixed fraction to a normal fraction

2 1/2 = 5/2

Now transform

5/2 = 25/10

1/5 = 2/10

25/10 - 2/10 = 23/10

So the green grapes weigh 23/10 pounds more than the red grapes.

Answer:

B) 7/10 and 4/5

Step-by-step explanation:

Answer:

B) 7/10 and 4/5.

Step-by-step explanation:

Convert the values to decimals

7/9 = 0.7777...

A)  = 0.6 and 0.75  -  NO.

B)  = 0.7 and 0.8 - YES.

Answer:

6.333... is greater

Step-by-step explanation:

6.3 is larger than 6.2

Answer:

6.33333

Step-by-step explanation:

6.29

6.33333

The 3 is greater than the 2.

Hope this helps :)