Which images below are scalene triangles?


Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D

Answer:

A.

Step-by-step explanation:

tan x= 6/8

usually tan θ = perpendicular / base

So,

we get perpendicular = 6, base = 8

Now using Pythagorean Theorem to find hypotenuse

hyp² = base² + Perp²

hyp² = 8² + 6²

hyp²= 64 + 36

hyp²=100

Taking sq root on both sides

hypotenuse = 10

Now

sin θ = Perpendicular / Hyp

sin x = 6 / 10

Now

cos θ = base / Hyp

cos x = 8 / 10

Answer:

65

Step-by-step explanation:

multiply 1/2 and 10 to get 10/2

10/2(9.4+3.6)

divide 10 by 2 to get 5

add 9.4 and 3.6 to get 13

5 X 13

multiply to get 65

The mixed number will be 13 3/4.

Answer:

1 lb 8 oz

Step-by-step explanation:

The weight gain was the difference between the current weight and the beginning weight:  20 lb 2 oz less 18 lb 10 oz.  Since 10 oz is less than 2 oz, we must 'borrow" 1 lb, or 16 oz, to be able to perform the subtraction.  Thus, 20 lb 2 oz becomes 19 lb + 16 oz + 2 oz, or 19 lb 18 oz.

Then the indicated subtraction comes out to 1 lb 8 oz, which represents the baby's weight gain over the past month.

Answer: C you pay fee fewer upfront cost

Step-by-step explanation:

Answer:

61%

Step-by-step explanation:

First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.

Answer:

31 (i.e 3 tens and 1 unit)

Step-by-step explanation:

217 can be split up as,

2 hundreds, 1 tens, and 7 units.

186 can be split up as,

1 hundred, 8 tens and 6 units

If we solve straight we'll have

(2-1)hundreds + (1-8)tens + (7-6)units.

(1-8)tens will give a negative value, complicating the operation.

To make our operation easier we can use the fact that 1 hundred is equal to 10 ten to further split the 217, and it becomes

1 hundred, 11 tens and 7 units.

The operation becomes

(1-1)hundreds + (11 - 8)tens + (7-6)units

= 0 hundred + 3tens + 1 unit

= 3 tens + 1unit

= (3 x 10) + 1 = 31

Answer:107

Step-by-step explanation:

749 ➗ 7=107

Answer:

[tex]\dfrac{40}{42}[/tex]

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

[tex]\dfrac{x}{x+2}[/tex]

If both numerator and denominator are decreased by six, the fraction becomes:

[tex]\dfrac{x-6}{x+2-6}[/tex]

The simplified result is [tex]\dfrac{17}{18}[/tex]

Therefore:

[tex]\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40[/tex]

Substituting x=40 into the initial fraction

[tex]\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}[/tex]

Therefore, the original fraction is [tex]\dfrac{40}{42}[/tex]

Answer$5.22

Step-by-step explanation:

Answer:

The correct answer is 11/36

Step-by-step explanation:

The probability that at least one die shows a '5' is 11/36.

The probability of an event is the chance of happening that particular event.

Here, a pair of standard dice are rolled.

Therefore, the total number of combinations of two dice is = 6² = 36.

The case at which one die shows a '5' are: (1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)

Therefore, the total number of cases at which one die shows a '5' is = 11.

Therefore, the required probability of the given event is

= 11/36

Learn more about the probability of an event here: https://brainly.com/question/9548010

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Answer:

The amount of water is each balloon should be:

A = 6/20 =0.3 liters

Hope this helps!

:)

Answer:

0.3

Step-by-step explanation:

                                                                 .

Answer:

$ 50

Step-by-step explanation:

Original price = Sale price + discount

= 40 + 25% of 40

= 40 + 0.25 * 40

= 40 + 10

Original price =  $50

Answer:

Step-by-step explanation:

-6x + 6y = -12

6x + 6y = -36

12y = -48

y = -4

3x - 12 = -18

3x = -6

x = -2

(-2, -4)

Answer:

C = 14 pi inches

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

49 pi  = pi r^2

Divide each side by pi

49 pi/pi = pi /pi r^2

49 = r^2

Take the square root of each side

7 = r

The circumference is given by

C = 2 * pi *r

C = 2 * pi *7

C = 14 pi inches

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

Answer:

A: -2

B: -10

Step-by-step explanation:

A: the slope of line b is -2

B: Point: (-6,2)

So x= -6 and y = 2

Putting in slope intercept formula for finding b

y=mx+b

2=(-2)(-6)+b

2= 12 + b

b = 2-12

b= -10

The y-intercept of line b is -10

Answer:

  [tex]\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}[/tex]

Step-by-step explanation:

The first step is to convert the mixed number to an improper fraction.

  [tex]\dfrac{4\frac{1}{3}}{\left(-\dfrac{5}{6}\right)}=\boxed{\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}}[/tex]

Answer:

it's a

Step-by-step explanation:it's what the guy above me said

We have been given that two datasets arranged in descending order are: [tex]\{8, x, 4,1\}[/tex] and [tex]\{9, y, 5,2\}[/tex]. We are asked to find the value of [tex](y-x)^2[/tex], if the medians of the two given datasets are equal.

First of all, we will arrange our given data sets in ascending order.

[tex]\{1,4,x,8\}[/tex] and [tex]\{2,5,y,9\}[/tex]

Since our data sets have 4 data points, so median will be average of middle two terms.

[tex]\frac{4+x}{2}[/tex] and [tex]\frac{5+y}{2}[/tex]

Now we will equate both median as we are told that median of both data sets are equal.

[tex]\frac{5+y}{2}=\frac{4+x}{2}[/tex]

Cross multiply:

[tex]2(5+y)=2(4+x)[/tex]

Divide both sides by 2:

[tex]\frac{2(5+y)}{2}=\frac{2(4+x)}{2}[/tex]

[tex]5+y=4+x[/tex]

[tex]5-5+y-x=4-5+x-x[/tex]

[tex]y-x=-1[/tex]

Let us square both sides of our equation.

[tex](y-x)^2=(-1)^2[/tex]

[tex](y-x)^2=1[/tex]

Therefore, the value of [tex](y-x)^2[/tex] would be 1.

Answer:

d 132

Step-by-step explanation:

Answer:

THE ANSWER IS D

Step-by-step explanation:

Answer:

Have them 4 by 5.

Step-by-step explanation:

If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.

For example, (The "o" is a chair)

OOOOO

O

O

O

As you see the the top are the 5 chairs, then side are are the 4 chairs.

Then, you will do the exact same thing  but on the opposite side.

Here is the next example.

OOOOOO

O            O

O            O

O            O

OOOOOO

Basically, arranging the chairs 4x5, it would make a rectangle.

Answer:

D

Step-by-step explanation:

Edu

Answer:

⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C

Step-by-step explanation:

∫ cos⁴(3x) dx

Use power reduction formula:

⅛ ∫ (3 + 4cos(6x) + cos(12x)) dx

⅜ ∫ dx + ½ ∫ cos(6x) dx + ⅛ ∫ cos(12x) dx

⅜ ∫ dx + ¹/₁₂ ∫ 6 cos(6x) dx + ¹/₉₆ ∫ 12 cos(12x) dx

⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C

Answer:

Step-by-step explanation:

From the given information,

The ten observation data on october  snow cover for Eurasia  during the years is 6.5, 12.0, 14.9, 10.0, 10.7, 7.9, 21.9, 12.5, 14.5, 9.2

What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?

For the given data, 21.9 is an outlier, so trimmed mean would be good choice for the researcher,

Remove the smallest and the largest values to compute the trimmed mean

[tex]\bar x = \frac{12.0+14.9+10.0+10.7+7.9+12.5+14.5+9.2}{8} \\\\=\frac{91.7}{8} \\\\=11.465[/tex]

Answer:

A line has equation y = ax + b, perpendicular to the line  y = -5x - 4

=> a x (-5) = -1 => a = 1/5.

This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3

=> Equation of this line: y = (1/5)x + 3

Hope this helps!

:)

The equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4  is  y = x/5 + 3.

The general equation of a straight line is -

y = mx + c

Given is a line that passes through (0, 3) and is perpendicular to the

line → y = - 5x - 4

Since the line is perpendicular to the line → y = - 5x - 4. We can write -

m[L] = -1/-5

m[L] = 1/5

Assume that the equation of the line is -

y = m[L]x + c

y = x/5 + c

Since the line passes through the point (0, 3), we can write -

3 = 0 + c

c = 3

The final equation of the line will be -

y = x/5 + 3

Therefore, the equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4  is  y = x/5 + 3.

To solve more questions on Straight lines, visit the link below-

https://brainly.com/question/27730503

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Answer:

  see the attachments

Step-by-step explanation:

An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)

__

a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.

__

b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.

Answer:

y=-3x+b

Step-by-step explanation:

Find slope

-1-(-10)/2-5

9/-3

-3 is slope

y=-3x+b

substitute (2,-1)

-1=6+b

b=-7

y=-3x-7

Answer:

Yes

Step-by-step explanation:

6z > 15

z > 15/6

z > 2.5

So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.