square root of 36/169

Answer: angleAOB = 40°

Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:

angleAOC = angleAOB + angleBOC

108 = 3x + 4 + 8x - 28

108 + 24 = 11x

11x = 132

x = 12

Knowing x, to find angleAOB, just substitute and calculate:

angleAOB = 3x+4

angleAOB = 3.12 + 4

angleAOB = 40°

The angle AOB is 40°.

Answer:

No Solution

Step-by-step explanation:

For one solution;

it will be consistent and independent ( example, x = 1 and y = 2)

For no solution;

it will be inconsistent and independent ( example, 0 = 2)

For many solution;

it will be consistent and dependent ( example, 1 = 1,  2 = 2,  y = y,  x = x)

Given;

        3x - 2y = 3 -------------- equation (1)

        6x - 4y = 1 --------------- equation (2)

6:     18x - 12y = 18 -------------equation (3)

3:     18x - 12y = 3 --------------- equation (4),      subtract (4) from (3)

      --------------------------------------------

        0 - 0      =  15

     -----------------------------------------------

       0 = 15

The solution is inconsistent and independent, because zero (0) cannot be equal to 15

Thus, the system has no solution

Answer:

ONE SOLUTION

3x-5y=8; 5x-3y=2

3x+2y=8; 4x+3y=1

NO SOLUTION

3x-4y=2; 6x-8y=1

3x-2y=3; 6x-4y=1

INFINITELY MANY SOLUTIONS

3x-6y=3; 2x-4y=2

Step-by-step explanation:

i got this right on edge

Answer:

Mehmut is 8 years old.

Step-by-step explanation:

From the statement we can get the following information, let M be Mehmut's age and b brother's age:

M = 4 * b

M + 1 = 3 * (b + 1)

We replace the first equation in the second and we are left with:

4 * b + 1 = 3 * b + 3

4 * b - 3 * b = 3 - 1

b = 2

Now, we replace to calculate M:

M = 4 * b

M = 4 * 2

M = 8

Mehmut is 8 years old.

Answer: B) 4

Step-by-step explanation:

Using the formula

Standard deviation = √( (Σ ( x - π)²)/n)

To get the standard deviation, first we workout the Mean which is the simple average of the data set

n = 4

(13 + 17 + 9 + 21) / 4 = 60/4 = 15

Mean(x) = 15

Then (x-π)²

13 - 15 = (-2)² = 4

17 - 15 = (2)² = 4

9 - 15 = (-6)² = 36

21 - 15 = (6)² = 36

Σ ( x - π)² = (4 + 4 + 36 + 36) = 80

Standard deviation = √( (Σ ( x - π)²)/n

= √ (80/4)

=√20

= 4.47

= 4

Step-by-step explanation:

θ = [tex]cos^{-1}[/tex] 17 m/27 m = 50.9°

Answer:

10.62

Step-by-step explanation:

20- 9.38 = 10.62

Answer:

Bottom Left

Step-by-step explanation:

Break up the numbers to 7,  and -8.

Break up the fractions to 1/5 and -3/5.

Answer:

16

Step-by-step explanation:

Multiply it by 1/3 and it equals 16

Answer:

16

Step-by-step explanation:

48/3=16

Answer:

see below

Step-by-step explanation:

x = kendalls money

98 = 7x

Divide each side by 7

98/7 = 7x/7

14=x

Kendall had 14 dollars

Answer:

D

Step-by-step explanation:

94 divided by 7 = 14 also

7x (x is 14) = 94

Answer:

MAD = 2

Step-by-step explanation:

First We'll find the mean of data

Mean = [tex]\frac{20}{5}[/tex]

Mean = 4

Then, we'll find absolute deviation

=> |4-3| = 1

=> |4-2| = 2

=> |4-1| = 3

=> |4-1| = 3

=> |4-3| = 1

Now, taking the mean of these absolute deviations:

MAD = [tex]\frac{1+3+3+2+1}{5}[/tex]

MAD = [tex]\frac{10}{5}[/tex]

MAD = 2

Answer:

no

Step-by-step explanation:

because even going back to back it would take you about one or two days

Answer:

Hi there!

The correct choices are: A, B, C

Step-by-step explanation:

π in radians equals to 180°

A is correct because 180/3 = 60

C is correct because 180/4 = 45

The measure angles π and π/4 is true

Radian, When we rotate the radius completely around the circle, it completes one rotation. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians. The angle in radians subtended by the radius at the center of the circle is the ratio of the length of the arc to the length of the radius. When the length of the arc becomes equal to the length of the radius, the angle subtended at the center becomes 1 radian. We denote the unit radian as rad. Radians is the SI unit of measuring angles.

Degree  Angles are measured in degrees. One revolution is divided into 360 equal parts and each part is called a degree. The angle subtended at the center of the circle after one complete rotation of the radius is 360°. The symbol for degrees is denoted by '°'. Degrees is not an SI unit to measure angles but it is an accepted unit to measure. Hence, while solving problems, it is preferred to convert the unit of angle from radians to degrees to understand it better. The instrument used to measure an angle in degrees is a protractor. Comparing the measures of the angle for a complete rotation, we observe,360 Degrees = 2π Radians180 Degrees = π Radians

According to the question

To convert radians to degrees, multiply by 180/p,

like this: degrees = radians x (180 / π )

To convert degrees to radians,

multiply by p/180, like this

radians = degrees x ( π/180)

(A)

This will use the formula for radians to degrees. π/3 x (180/π) The pi's cancel, leaving you with: 180/3 = 60 degrees False

(B)

An angle that measures π/6 radians also measures 30°π/6 x (180/π) = 30 degrees. True

(C)

An angle that measures π/3 radians also measures 60°π/3 x (180/π) = 60 degrees. True

(D) An angle that measures 180 degrees also measures π/2π/2 x (180/π) = 90 degrees. False

hence, measure angles π and π/4 is true, therefore option B and C are true

To learn more about radian and degree from here https://brainly.in/question/3390676

#SPJ2

Answer:

B: -2

C: 0

D: -1

Step-by-step explanation:

We are looking at only the range in this problem. That means we are looking for y-values that are associated with this graph. Since the graph only includes negative values, you can rule out A, E, and F because they are positive. The answer choices you have left are the correct choices.

Answer:

-1
-2
-5
0

Step-by-step explanation:

Answer:

1.15 m³

Step-by-step explanation:

i hope its correct and i hope its helpful

Step-by-step explanation:

hey can yuh show work by step by step...since its hard plzz

Answer:

a) The median AD from A to BC has a length of 6.

b) Areas of triangles ABD and ACD are the same.

Step-by-step explanation:

a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:

[tex]D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2} \right)[/tex]

[tex]D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2} \right)[/tex]

[tex]D(x,y) = (4,0)[/tex]

The length of the median AD is calculated by the Pythagorean Theorem:

[tex]AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}[/tex]

[tex]AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}[/tex]

[tex]AD = 6[/tex]

The median AD from A to BC has a length of 6.

b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:

[tex]AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex]

[tex]AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}[/tex]

[tex]AB \approx 4.123[/tex]

[tex]AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}[/tex]

[tex]AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}[/tex]

[tex]AC \approx 4.123[/tex]

[tex]BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}[/tex]

[tex]BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}[/tex]

[tex]BC \approx 4.472[/tex]

[tex]BD = CD = \frac{1}{2}\cdot BC[/tex] (by the definition of median)

[tex]BD = CD = \frac{1}{2} \cdot (4.472)[/tex]

[tex]BD = CD = 2.236[/tex]

[tex]AD = 6[/tex]

The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:

[tex]A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}[/tex], where [tex]s_{ABD} = \frac{AB+BD+AD}{2}[/tex]

[tex]A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}[/tex], where [tex]s_{ACD} = \frac{AC+CD+AD}{2}[/tex]

Finally,

[tex]s_{ABD} = \frac{4.123+2.236+6}{2}[/tex]

[tex]s_{ABD} = 6.180[/tex]

[tex]A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]

[tex]A_{ABD} \approx 3.004[/tex]

[tex]s_{ACD} = \frac{4.123+2.236+6}{2}[/tex]

[tex]s_{ACD} = 6.180[/tex]

[tex]A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]

[tex]A_{ACD} \approx 3.004[/tex]

Therefore, areas of triangles ABD and ACD are the same.

Answer:

180°

Step-by-step explanation:

In bearing the protractor is placed in the North-South direction(eastside) thus directly north is on a bearing of 0°.After you mark the point B. A will be directly south which is on a bearing of 180°

Answer:

B, π:(4-π).

Step By Step:

With a side of length 12, we have an area of 144. The circle's radius is 3, so their area is 9π, per circle. All four circles have a total combined area of 36π  - green. The area that is left of the square after the circles are painted green  is  144-36π - White

So, the ratio of Green:White is (36π) : (144-36π), which simplifies to π:(4-π), B

Answer: A_a^3

B_c^1

Step-by-step explanation:they work like integers therefore vlby sharing the same base and Having the division sign u just subtract the powers

Answer:

[tex]342[/tex]

Step-by-step explanation:

The probability of heads landing is 0.43.

The probability of tails landing is 1-0.43=0.57.

Azmol throws the coin 600 times, so:

[tex]600 \times 0.57[/tex]

[tex]=342[/tex]

Answer:

(-2, 2)

Step-by-step explanation:

When an image is dilated by a factor of 2, we can simply multiply the x and y coordinates by 2.

Therefore, the coordinates will become (-2, 2).

Answer:

therefore the population of the culture is 2313

Answer:

50pi circumference

96pi area

Step-by-step explanation:

The outer pathway is a circle of radius 25, so the circumference is

2*pi*25 or 50pi

The are is pi*r^2 or 625 pi - pi*23^2 = 96pi

Answer:5x+10

Step-by-step explanation:

2x+3x+9+1=5x+10

This is a answer of this question.

Answer:

y = -2x - 13

Step-by-step explanation:

Answer:

y = - 2x - 13

Step-by-step explanation:

First, distribute out the two on the right side of the equation.

y + 7 = - 2x - 6

Next, subtract 7 from both sides to isolate the y variable on the left side.

y = - 2x - 13

That is your answer in slop-intercept form.

Answer:

6

Step-by-step explanation:

3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6

Answer:

0 < x  < 3

Step-by-step explanation:

3 < x + 3 < 6

Subtract 3 from all sides

3-3 < x + 3-3 < 6-3

0 < x  < 3

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to all sides

3 - 3 < x + 3 - 3 < 6 - 3

~Simplify

0 < x < 3

Best of Luck!

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

Let a be apples and b be bananas.

10a+5b=4.2

8a+10b=5.4

Solve for a:

10a+5b=4.2

Subtract 5b from both sides

10a=4.2-5b

Subtract 4.2 from both sides

10a-4.2= -5b

Multiply both sides by -1

-10a+4.2=5b

8a+10b=5.4

Subtract 10b from both sides

8a=5.4-10b

Subtract 5.4 from both sides

8a-5.4= -10b

Multiply both sides by -1

-8a+5.4= 10b

Divide both sides by 2

-4a+2.7=5b

Combine equations:

-4a+2.7= -10a+4.2

Add 10a to both sides

6a+2.7=4.2

Subtract 2.7 from both sides

6a=1.5

Divide both sides by 6

a=0.25

An apple costs £0.25

Solve for b:

10a+5b=4.2

Subtract 10a from both sides

5b= -10a+4.2

Subtract 4.2 from both sides

5b-4.2= -10a

Multiply both sides by -1

-5b+4.2=10a

8a+10b=5.4

Subtract 8a from both sides

10b= -8a+5.4

Subtract 5.4 from both sides

10b-5.4= -8a

Divide both sides by 4

2.5b-1.35= -2a

Multiply both sides by 5

12.5b-6.75= -10a

Multiply both sides by -1

-12.5b+6.75=10a

Combine equations:

-12.5b+6.75= -5b+4.2

Add 12.5b to both sides

6.75=7.5b+4.2

Subtract 4.2 from both sides

2.55=7.5b

7.5b=2.55

Divide both sides by 7.5

b=0.34

A banana costs £0.34

If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.

10a+5b=4.2

8a+10b=5.4

a=0.25

b=0.34

Answer: 3 years

Step-by-step explanation:

Interest = 1740 - 1200 = 540

SI = prt / 100

540 = 1200 x 0.15 x t

540 = 180t

t = 540 / 180 = 3

Find the interest amount.

[tex]I=1740-1200=540[/tex]

Use the formula for simple interest.

[tex]I=prt/100[/tex]

Solve for t.

[tex]540=1200 \times 15\% \times t[/tex]

[tex]540=1200 \times \frac{15}{100} \times t[/tex]

[tex]540=180t[/tex]

[tex]t=\frac{540}{180}[/tex]

[tex]t=3[/tex]