HELP ME PLEASE SOME ONE!

Triangle LMN has vertices at L(-1,5),M(-1,0),N(-2,5), then the vertices are L'(-5, -1), M'(0, -1), N'(-5, -2).

To rotate a point counterclockwise:

For a point (x, y):

x' = x*cos(theta) - y*sin(theta)

y' = x*sin(theta) + y*cos(theta)

In this situation, rotate the triangle 90° counterclockwise about the origin.

The transformation equations to each vertex of the triangle states that:

For vertex L(-1, 5):

x' = -1*cos(90°) - 5*sin(90°) = -1*0 - 5*1 = -5

y' = -1*sin(90°) + 5*cos(90°) = -1*1 + 5*0 = -1

Therefore, vertex L' is (-5, -1).

For vertex M(-1, 0):

x' = -1*cos(90°) - 0*sin(90°) = -1*0 - 0*1 = 0

y' = -1*sin(90°) + 0*cos(90°) = -1*1 + 0*0 = -1

Therefore, vertex M' is (0, -1).

For vertex N(-2, 5):

x' = -2*cos(90°) - 5*sin(90°) = -2*0 - 5*1 = -5

y' = -2*sin(90°) + 5*cos(90°) = -2*1 + 5*0 = -2

Therefore, vertex N' is (-5, -2).

Thus, the vertices of the image triangle L'M'N' after rotating the original triangle 90° counterclockwise about the origin are: L'(-5, -1), M'(0, -1), N'(-5, -2).

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Answer: A

Step-by-step explanation: Because you multiple 5m by 1/12?

If the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

i.e. Slope  [tex]m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}[/tex]

We have,

The ramp has a slope of  [tex]\frac{1}{12}[/tex],

Horizontal length of [tex]5m[/tex]

Height of ramp [tex]=x[/tex]

So,

Slope [tex]=\frac{H}{L} = \frac{1}{12}[/tex]

        [tex]\frac{H}{5} =\frac{1}{12}[/tex]

      [tex]H=\frac{5}{12}[/tex]

       [tex]H=0.4 \ m[/tex]

So, the Height of the ramp is [tex]0.4 \ m[/tex] .

Hence, we can say that if the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

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Answer:

C

Step-by-step explanation:

Answer:

B) 15 + x < 24

Step-by-step explanation:

a. 88%

b. 80%

Step-by-step explanation:

198/225=.88

180/225=.80

Answer:

4

Step-by-step explanation:

four Point perspective

Answer:

one point perspective

Step-by-step explanation:

It is one point perspective because if you are thinking about birds eye view, you have to consider that they height a bird can fly is very very high. So you have to be thinking critically, it cannot be 4 point perspective nor 3 point perspective due to the fact, that that is worm eye view. Thus, the answer it leaves you with is 1 point view and 2 point perspective. Two point perspective is us, it would be like us watching a building (which isn't that high). Hence, the last answer you are left with is one point perspective.

For reference you can look at the picture:

Hope this helps! :))

Answer:

150.80 sq ft

Step-by-step explanation:

Area of a cylinder = area of circle x length

r = 8/2 = 4

[tex]4^{2}[/tex]π x 3 = 48π = 150.7964474

Answer:

37.68ft³

Step-by-step explanation:

So the formula for the volume of a cylinder is base x height our height is 3 but we have to find the area of the base:

the formula is: radius² x 3.14 (pi)

so we find the radius by dividing the diameter by 2: 8 ÷ 2 = 4

4 x 3.14 = 12.56

So the area of the base is 12.56ft²

now we plug that into our equation:

12.56 x 3 = 37.68

So the volume of the cylinder is 37.68ft³

hope this helps:)

Answer:

Long = 5√3

Step-by-step explanation:

Hypotenuse = 10

Short = 5

Long = ?

Apply Pythagorean theorem to find Long:

Long² = hyp² - short²

Long² = 10² - 5²

Long² = 100 - 25

Long² = 75

Long = √75

Long = √(25*3)

Long = 5√3

Answer:

A. 300in^2

Step-by-step explanation:

Area=LWH

15*10*2=300

Answer:

(2/3)r=30

r=45cm

Step-by-step explanation:

When trying to find a fraction of something, multiply to get your answer:

(2/3) of r = (2/3)r

The blue ribbon can be represented by both 30cm and (2/3)r cm:

(2/3)r=30

2r=90

r=45cm

Answer:

It helps families who or who do not have the resources and helps them with money issues

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Given,

Base of the parallelogram = 11 yd

Height of the parallelogram = 6 yd

Therefore,

Area of the parallelogram = base × height

= 11 yd × 6 yd

[tex] = 66 {yd}^{2} [/tex]

Hence,

Area of the parallelogram is 66 sq. yd

5% of 40,000 is 2,000

Answer:

0

Step-by-step explanation:

If A is an event that will never happen, then P(A)=​0

9514 1404 393

Answer:

  C and D

Step-by-step explanation:

Extraneous solutions arise in a couple of cases, both of which are illustrated in this list of answer choices.

1. Square roots (and other even-index radicals). The square root is defined only for positive arguments. When the radical is removed by squaring the equation, the possibility of negative arguments is introduced. Hence, there may be extraneous solutions.

Example:

  x = √(x +2)   ⇒  x² = x+2 . . . has 2 roots, one of which is extraneous

__

2. Rational function equations. Such an equation is only defined when the denominator is not zero. A method often taught for solution of these equations is "cross-multiplying"--essentially multiplying by the product of the denominators. In the case where this product is not the least common denominator, the equation will have an extra factor that can introduce an extraneous root.

__

The answer choices C and D are likely to have extraneous roots based on the above observations.

_____

Additional comment

Choice D would usually be solved by cross-multiplying. That would give the quadratic equation (x -3)² = 0, which only has solutions x=3. The denominators are zero at x=3, so these solutions are extraneous. If the right side is subtracted from the left side, the fractions can be combined to give ...

  ((x+3) -6)/((x -3)(x +3)) = 0   ⇒   1/(x+3) = 0 . . . . no solution

Answer:

B is the answer

Step-by-step explanation:

Im the best

Answer:

2

Step-by-step explanation:

Answer:

Um is there more to the question?

Step-by-step explanation:

A:1,3,5,7,9

b:2,3,5,7,

Answer:

try b

Step-by-step explanation:

Answer:

1. a. 75.39 in² b. 65.97 in²

2. Decreased

Step-by-step explanation:

1.

a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.

Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)

Substituting the values of the variables into the equation, we have

A = 2πr(r + h)

A = 2π(3 in)(3 in + 1 in)

A = (6π in)(4 in)

A = 24π in²

A = 75.39 in²

b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.

Since the area of the wedge, A' is one-eight the area of the cheese, A

A'= A/8

= 75.39 in²/8

= 9.42 in²

The area of the remaining cheese is thus, area of cheese - area of wedge  = A - A' = 75.39 in² - 9.42 in² = 65.97 in²

Question 2 - Did the surface area increase, decrease, or remain the same

Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

Answer:

Area of sector bounded by angle = 100.37 ft² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 12 feet

Arc angle θ = 80°

Find:

Area of sector bounded by angle

Computation:

Area of sector bounded by angle = [θ/360][πr²]

Area of sector bounded by angle = [80/360][(3.14)(12)²]

Area of sector bounded by angle =[0.22][(3.14)(144)]

Area of sector bounded by angle = [0.22][452.16]

Area of sector bounded by angle = 100.37 ft² (Approx.)

Answer: The answer is 4 pieces of chalk

Answer:

7 chalks

Step-by-step explanation:

7 crosses are above numbers that are higher than 5

Answer:

option a. SAS

......................

Answer:

0.0051 = 0.51% probability that the thickness is less than 3.0 mm

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm.

This means that [tex]\mu = 4.8, \sigma = 0.7[/tex]

(a) Probability that the the thickness is less than 3.0 mm

pvalue of Z when X = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 4.8}{0.7}[/tex]

[tex]Z = -2.57[/tex]

[tex]Z = -2.57[/tex] has a pvalue of 0.0051

0.0051 = 0.51% probability that the thickness is less than 3.0 mm

Answer:

92.091

Step-by-step explanation:

81+10=91

.296

+

.795

_____

1.091

So: 91+1.095=92.091

Answer:

Step-by-step explanation:

Answer:

20.8cm

Step-by-step explanation:

1 meter is 100cm

.022m is 22cm

22cm-1.2cm=20.8cm