Simplify cos(arctan-1)

Answer:

C

Step-by-step explanation:

Answer:

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°

Answer:

Point D is the point of dilation.

Step-by-step explanation:

If the smaller triangle A'B'C' is dilated to form a larger triangle ABC by the dilation about point D,

Ratio of the DA and DA' will be equal to the ratio of DB and DB'.

Length of DA = 3 units

Length of DA' = 1 unit

Coordinates of D → (3, 0)

Coordinates of B → (9, 3)

Coordinates of B' → (5, 1)

Use the formula of distance between the two points to find find the length of DB and DB'

Length of DB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(3-0)^2+(9-3)^2}[/tex]

                                                                 [tex]=\sqrt{45}[/tex]

                                                                 [tex]=3\sqrt{5}[/tex]

Length of DB' = [tex]\sqrt{(5-3)^2+(1-0)^2}[/tex]

                       [tex]=\sqrt{5}[/tex]

Ratio of DB and DB' = [tex]\frac{3\sqrt{5} }{\sqrt{5} } =3:1[/tex]

Ratio of DA and DA' = 3 : 1

Since, [tex]\frac{DA}{DA'}=\frac{DB}{DB'}[/tex]

Therefore, smaller triangle is dilated by a scale factor of 3 to form the bigger triangle about the point D.

Answer:

your answer should be ty

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-|-5+2|

-|-3|

=-3

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

Answer:

75 degrees

Step-by-step explanation:

75+r+30=180

105+r=180

r=75

Answer:

107.25 metres.

Step-by-step explanation:

diameter of circle = 150m,

so,

radius = 75 m

perimeter of semi circle

= pi × r

= 3.14 × 75

= 235.5 m

perimeter of rectangle

= 2 × (l+b)

= 2 × (150 + 75)

= 450 m

perimeter of shaded region

= perimeter of rectangle - perimeter of semi circle/2

= 450 - 235.5/2

=107.25 metres

Answer:

Absolute value;

The non-negative value of x(in your case -19) without regard to its sign.

Basically how far in distance x(in your case -19) is away from 0.

|–19| = 19

Answer:

19

Step-by-step explanation:

Given the following question:

When dealing with absolute value we need to understand that all negatives in between "|  |" are changed into positives. See absolute value (| |) as if its a car wash, and negatives are dirty cars.

In this case...
[tex]|-19 |[/tex]
[tex]|-19 |=19[/tex]
[tex]=19[/tex]

Hope this helps.

Answer:

are you just listing defnitions or what

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

we have,

2x+96=180

=> 2x = 180- 96

=> 2x = 82

now,

82 + 96 = 180

so they are supplementary angles

Answer:

DF=2.68

EF=2.01

Step-by-step explanation:

Answer:

There isn't enough information to answer the question

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

36/80

orrrr just

9/20

Answer:

It is 22.524

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

First you simplify your parenthesis, then subtract 2x from both sides. Then subtract both sides by 2, then finally divide both sides by 10. x > -1 So n = -1

Hope I helped! :)

Answer:

15000 pay on the ship for me

The probability of making a type i error is the likelihood of type i error, and it is denoted by α

The type-i error involves rejecting a good prediction or value indicated by the null hypothesis.

In other words, the probability of wrongly rejecting the null hypothesis is the probability of the type-i error.

And it is represented by the alpha symbol.

Hence, the probability of making a type i error is α

Read more about probability at:

https://brainly.com/question/25870256

Answer:

A

Step-by-step explanation:

Since he is paying the computer off, the first value is considered the initial value, and in this case it is the amount he purchased the computer for.

4^2 + 7^2 = c^2
16 + 49 = c^2

C^2 = 65

65 square root

C = 8.06 or rounded is 8.1

Answer:

the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

Amanda babysitted for 3 hours

Step-by-step explanation:

From the question, we know that:

Amanda charges $20 fee for babysitting plus an additional $5 per hour.

Let the number of hours she babysits be represented by x

This is represented by the equation:

$20 + $5× x

= 20 + 5x

We are also told:

The Wilson family paid the babysitter a total of $35 for a night of babysitting.

Hence the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

5x = 35 - 20

5x = 15

x = 15/5

x = 3 hours

Therefore, Amanda babysitted for 2 hours

Answer:

A)

Step-by-step explanation:

A systems of equations that are 2 completely separate lines will have 1 solution.

A systems of equations that are the same line will have infinite amount of solutions.

A systems of equation that have parallel lines will have no solution.

We see that B, C, and D are all 2 completely separate lines with their own slope and y-intercept. Therefore, they will have 1 solution.

A is our answer because we see that they have the same slope but different y-intercepts. This means that they are parallel lines and will never intersect each other, thus providing us with no solution.

Answer:

5/10

Step-by-step explanation:

Answer:

The measurement of 7 is equal to 47 because it is congruent to 5.

The equation that could be is is:  (2x-5) + 47 = 180

x is equal to 69.

Step-by-step explanation:

69 times 2 = 138 -5 = 133

133 + 47 = 180

Volume of a cube formula: [tex]V=a^3[/tex]

Surface area of a cube formula: [tex]SA=6a^2[/tex]

Area of a trapezoid formula: [tex]A=\dfrac{1}{2}(a+b)h[/tex]

We're given:

First, use the volume formula to solve for the side length:

[tex]V=a^3[/tex]

⇒ Plug in the known volume:

[tex]343=a^3\\\sqrt[3]{343}=\sqrt[3]{a^3}\\a=7[/tex]

Therefore, [tex]a=7[/tex].

Now, plug this value into the formula for surface area:

[tex]SA=6a^2\\SA=6(7)^2\\SA=294[/tex]

Therefore, the surface area of the cube is 294 cm².

We're given:

For this question, we must solve for the area of the trapezoid, then divide its double by 72 to find how many cans of paint we need for two coats.

Solve for the area of the trapezoid:

[tex]A=\dfrac{1}{2}(a+b)h[/tex]

⇒ Plug in the given information:

[tex]A=\dfrac{1}{2}(14+24)(16.5)\\\\A=\dfrac{1}{2}(38)(16.5)\\\\A=(19)(16.5)\\A=313.5[/tex]

Therefore, the area of the trapezoid is 313.5 ft²

Multiply it by 2:

[tex]313.5*2\\=627[/tex]

Divide this by 72:

[tex]\dfrac{627}{72}\\\\=8.7[/tex]

Therefore, we need 9 cans of paint to paint two coats over the deck.

Answer:

720 I know this because i did this :)

Step-by-step explanation:

The 95% confidence interval for the proportion p is (0.156, 0.302)

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To calculate a 95% confidence interval for the proportion p, we can use the following formula:

p ± z√(p(1-p)/n)

where p is the sample proportion (37/161), z is the critical value for a 95% confidence level (1.96 for a large sample size), and n is the sample size (161).

Plugging in these values, we get:

p ± z√(p(1-p)/n)

= 0.229 ± 1.96√((0.229)(0.771)/161)

= 0.229 ± 0.073

Therefore, the 95% confidence interval for p is (0.156, 0.302).

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Answer: 44

Step-by-step explanation: I'm assuming P is on the left most side and R is on the right most side. The two segments of the line adds up to the entire line so it would be PQ(20)+QR(22)=PR(44)