Estimate 61.68 - 48.225 by first rounding each number to the nearest whole number.

Answer:

sin A = [tex]\frac{15}{17}[/tex]

cos A = [tex]\frac{8}{17}[/tex]

tan A = [tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

sine = [tex]\frac{ooposite}{hypothenuse}[/tex]

sine A = [tex]\frac{15}{17}[/tex]

cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]

cos A = [tex]\frac{8}{17}[/tex]

tan = [tex]\frac{opposite}{adjacent}[/tex]

tan A = [tex]\frac{15}{8} = 1\frac{7}{8}[/tex]

Answer:

C.  -1.7

Step-by-step explanation:

Answer:

multiply that what my teacher said do

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3/4 x 24 = 18

Question

The data in this question will be utilized for the next three questions. The number of pets a group of students has, are given below.

Number of pets:        0-2    2-4   4-6   6-8   8-10   10-12    12-14

Number of students:  1        2      1        5       6         2           3

Calculate

(1) Mean      (2) Sample Variance    (3) Sample Standard Deviation

Answer:

[tex](1)[/tex] [tex]\bar x = 8.1[/tex]

[tex](2)[/tex] [tex]\sigma^2 = 6.341[/tex]

[tex](3)[/tex] [tex]\sigma = 2.518[/tex]

Step-by-step explanation:

Given

The above data

First, we calculate the class midpoint (x)

Pets:  [tex]0-2[/tex]    [tex]2-4[/tex]   [tex]4-6[/tex]   [tex]6-8[/tex]   [tex]8-10[/tex]   [tex]10-12[/tex]    [tex]12-14[/tex]

x           1           3          5       7           9          11          13

f:           1            2         1        5           6         2           3

The class midpoint (x) is calculated by the average of each group.

For pets: 0 - 2.

[tex]x = \frac{0 + 2}{2}= \frac{2}{2} = 1[/tex]

The same is done for other groups.

Solving (a): Mean

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

This gives:

[tex]\bar x = \frac{1 * 1 + 3 * 2 + 5 * 1 + 7 * 5 + 9 * 6 + 11 * 2 + 13 * 3}{1 + 2 + 1 + 5 + 6 + 2 + 3}[/tex]

[tex]\bar x = \frac{162}{20}[/tex]

[tex]\bar x = 8.1[/tex]

Solving (b): Sample Variance

This is calculated as:

[tex]\sigma^2 = \frac{\sum(x_i - \bar x)^2}{\sum f - 1}[/tex]

So:

[tex]\sigma^2 = \frac{(1 - 8.1)^2+(3 - 8.1)^2+(5 - 8.1)^2+(7 - 8.1)^2+(9 - 8.1)^2+(11 - 8.1)^2+(13 - 8.1)^2}{20 - 1}[/tex]

[tex]\sigma^2 = \frac{120.47}{19}[/tex]

[tex]\sigma^2 = 6.341[/tex]

Solving (c): The sample standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\sigma^2[/tex]

[tex]\sigma = \sqrt{6.341[/tex]

[tex]\sigma = 2.518[/tex]

Answer:

Assuming the shape is a half-circle, there's two right angles.

Step-by-step explanation:

The angle between the straight segment and the half-circle can be measured by taking a tangent line at the intersection point and it will of course be perpendicular to the straight segment, assuming the segment is the diameter of the circle).

Answer:

Step-by-step explanation:

95 850-9 580=86270

R 86 270 is still owed for the car

Hope it helps!

:D

Answer: [View the graph]

(-2,-6)

(-1, -4.5)

(0,-3)

(1, -1.5)

(2,0)

Answer:

x = -12

Step-by-step explanation:

3/4x + 12 = 3

3/4x = -9

3x = -36

x = -12

Answer:

infinity

Step-by-step explanation:

Infinity times Infinity = Infinity

The answer to this question is:

Infinity

Basically, numbers cant get any higher than infinity. This would be the best option.

Answer:

1st scenario comes up to 1000 dollars.

2nd scenario 1200 dollars

3rd is 2000 dollars.

This makes the third scenario most profitable.

Step-by-step explanation:

Answer:

any point that x is 0

Step-by-step explanation:

Answer:

y= -2x+1

Step-by-step explanation:

i hope this helps :)

Answer:

C. 22

Step-by-step explanation:

The median is the middle number of the set if the numbers are in order from least to greatest.

This set of numbers is in order, so the median is the middle number = 22

Answer:

23°

Step-by-step explanation:

straight line=180

82+24+51=157

180-157

Answer:

Here i can explain it

Step-by-step explanation:

mark me as brainliest pls 簿絵時ぇ

Answer:

The answer is 12.

Step-by-step explanation:

We need to find the value of the given expression 6a+4b−6 when a = 1 and b = 3

Put a = 1 and b = 3 in the above expression.

6a+4b−6 = 6(1) +4(3) -6

= 6+12-6

= 12

So, the value of the given expression is equal to 12.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  m^2 = 35/9

Step-by-step explanation:

The line will be tangent to the ellipse where there is one point of intersection between the line and the ellipse. We can find that case by looking at the discriminant of the quadratic.

  x^2 +9(mx +2)^2 = 1

  x^2 +9(m^2x^2 +4mx +4) = 1

  (9m^2 +1)x^2+36mx +35 = 0 . . . . subtract 1, collect terms

__

Then the discriminant is ...

  (36m)^2 -4(9m^2 +1)(35)

We want it to be zero, so we have ...

  1296m^2 -1260m^2 -140 = 0 . . . . eliminate parentheses

  36m^2 = 140 . . . . . . . . . . . . . . . add 140

  m^2 = 140/36 . . . . . . . . . . . . divide by 36

  m^2 = 35/9

Answer:

angle BED and angle DEB are the answers.

Answer:

10,000

Step-by-step explanation:

500/0.05= 10,000

You take the amount you are given divided by the decimal form of the percentage you are given to find the answer.  It's a reverse from the way you find 5% of 10,000.

0.05=5%

Check your work: 10,000*5%= 500

Using the dilation rule, the length of P'R' is: C. 12 units.

Given that the scale factor of dilation is 4, and PR is 3.

Therefore:

P'R' = 4(PR)

P'R' = 4(3)

P'R' = 12 units.

Therefore, using the dilation rule, the length of P'R' is: C. 12 units.

Learn more about dilation on:

https://brainly.com/question/10253650

Answer:

Its c (12)

Step-by-step explanation:

Edge

Answer:

-2 -8 is -10 because we’re subtracting 8 out of -2

brainliest please

Answer:

-10

Step-by-step explanation:

-2 - 8 = -10

When you subtract a negative, the minus sign becomes a plus sign and the negative number becomes positive.

Hope this helps!

Answer:

15 bags

Step-by-step explanation:

3(0) + 7y=105

7y=105

y=15

Step-by-step explanation:

Circumference=22π

2πr=22π

r=11 in.

Area=121π in.²

Hope it helps you