X is less than or equal to 1

Answer:

18.4 In

Step-by-step explanation:

36.8/2

= 18.4 In

that is the procedure above

Answer:

SOH-CAH-TOA

[tex]h = \sqrt{ 9^{2} +5^{2} }[/tex]

~~~~~~~~~~

H= [tex]\sqrt{106}[/tex]

O= 5

A= 9

~~~~~~~~~~~~~~~~

Sin = [tex]\frac{5}{\sqrt{106 } }[/tex]

Cos= [tex]\frac{9}{\sqrt{106 } }[/tex]

Tan = [tex]\frac{5}{9 }[/tex]

Step-by-step explanation:

==========================================================

Explanation:

It helps to add point labels. Let's place point A at the very top point of the triangle. Then point B will be at the 90 degree angle. Point C is the far left point. Lastly, point D is on segment BC such that DC = 3.

Since BC = 8 and CA = 17, we can use the pythagorean theorem to get...

(AB)^2 + (BC)^2 = (AC)^2

(AB)^2 + (8)^2 = (17)^2

(AB)^2 + 64 = 289

(AB)^2 = 289-64

(AB)^2 = 225

AB = sqrt(225)

AB = 15

Now focus on triangle ABD and apply the pythagorean theorem again to find side AD

(AB)^2 + (BD)^2 = (AD)^2

AD = sqrt(  (AB)^2 + (BD)^2  )

AD = sqrt(  (AB)^2 + (BC-CD)^2  )

AD = sqrt( (15)^2 + (8-3)^2 )

AD = sqrt(250)

AD = sqrt(25*10)

AD = sqrt(25)*sqrt(10)

AD = 5*sqrt(10) .... answer is choice B

Answer:

MN => CB

ON => CA

AB => MO

CB => MN

OM => BA

AC => NO

Answer:

Question 16 = 22

Question 17 = 20 cm²

Step-by-step explanation:

Concepts:

Area of Square = s²

Area of Triangle = bh/2

Diagonals of the square are congruent and bisect each other, which forms a right angle with 90°

Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Question # 16

Step One: Find the total area of two squares

Large square: 5 × 5 = 25

Small square: 2 × 2 = 4

25 + 4 = 29

Step Two: Find the area of the blank triangle

b = 5 + 2 = 7

h = 2

A = bh / 2

A = (7) (2) / 2

A = 14 / 2

A = 7

Step Three: Subtract the area of the blank triangle from the total area

Total area = 29

Area of Square = 7

29 - 7 = 22

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

Question # 17

Step One: Find the length of PT

Given:

PT = PR + RT [Segment addition postulate]

PT = (4) + (6)

PT = 10 cm

Step Two: Find the length of S to PT perpendicularly

According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

Step Three: Find the area of ΔPST

b = PT = 10 cm

h = S to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

Step Four: Find the length of Q to PT perpendicularly

Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

Step Five: Find the area of ΔPQT

b = PT = 10 cm

h = Q to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

Step Six: Combine area of two triangles to find the total area

Area of ΔPST = 10 cm²

Area of ΔPQT = 10 cm²

10 + 10 = 20 cm²

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Just want the points

Step-by-step explanation:

Answer:

Hello,

9/2

Step-by-step explanation:

Using "la loi de Pouillet", i don't know the name in USA

[tex]R=\rho*\dfrac{l}{S} \\\\\rho: resistivity\\\\l: length\\\\S:section\ of \ the\ wire\\\\R_1=\rho*\dfrac{l_1}{S_1} \\S_1=\pi*d_1^2*\dfrac{1}{4} \\\\\\l_2=2*l_1\\d_2=3*d_1\\\\S_2=\pi*d_2^2*\dfrac{1}{4} =\pi*(3*d_1)^2*\dfrac{1}{4}=9*S_1\\\\\\\dfrac{R_1}{R_2} =\dfrac{\rho*\dfrac{l_1}{S_1}}{\rho*\dfrac{l_2}{S_2}} \\\\=\dfrac{\rho*\dfrac{l_1}{S_1}}{\rho*\dfrac{2*l_1}{9*S_1}} \\\\\\\boxed{\dfrac{R_1}{R_2} =\dfrac{9}{2}}[/tex]

Answer:

option A

Step-by-step explanation:

let the hypotenuse be x

take 45 degree as reference angle and use cos rule

cos 45 = adjacent/hypotenuse

1/[tex]\sqrt{2[/tex] = 6/x

do cross multiplication

6*[tex]\sqrt{2[/tex] = x *1

6[tex]\sqrt{2}[/tex] = x

Answer:

Answer is a

Step-by-step explanation:

Thats what i got

Answer:

Choice C. 10N

Step-by-step explanation:

[tex]F_{k} =U_{k} *F_{N}\\F_{k} =.25*[(4kg*10m/s2)] : [40N][/tex]

[tex]F_{k} =10N[/tex]

Answer:

Saturday.

Step-by-step explanation:

To answer the above question, we must recognise that Tuesday appears once every 7 days.

If today is Tuesday, 31 days ago will be obtained as follow:

31/7 = 4 remainder 3

Thus

31 = (7 × 4) + 3

31 = (28) + 3

Thus, the 28th day is Tuesday. If we count 3 days back from Tuesday, the day will be Saturday.

Therefore, the magician made his wife disappear on Saturday.

Answer:

33/4

Step-by-step explanation:

Let n = number

2/3 * n = 11

Multiply each side by 3/2

3/2 * 2/3 n = 11 * 3/2

n = 33/2

We want to find 1/2 of n

1/2 * 33/2 = 33/4

Answer: D

Step-by-step explanation:

formula=V=(π)r2h

Answer:

m = -1/3

Step-by-step explanation:

To get the slope of the line, we identify two points on the line and use the slope formula

We can have the points (-2,3) and (1,2)

We have the slope formula as;

m = (y2-y1)/(x2-x1)

m = (2-3)/(1 + 2) = -1/3

Answer:

Vertical angles

Step-by-step explanation:

A and C are formed by the same lines and are opposite.  A and C are vertical angles

Answer: (D) 7

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] = nlogx

[tex]log_{b}[/tex] b = 1

Then

[tex]log_{x}[/tex] [tex]x^{9}[/tex]

= 9[tex]log_{x}[/tex] x

= 9

Answer:

C

Step-by-step explanation:

tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] → C

Answer:

B (x+7, y-6)

Step-by-step explanation:

It goes right 7 and down 6

Answer:

(x,y) --> (x+7, y-6)

Step-by-step explanation:

Good luck with your exam! :DD

Answer:

Step-by-step explanation:

The measures of the exterior angles of all polygons add up to 360. So all we have to do is subtract the given values from 360 and we will have the missing angle.

a. 55

b. 118

c. 122

d. 50

Answer:

20

Step-by-step explanation:

When two numbers vary inversely, they always multiply to the same product, in this case, it is 80, because it is 8 x 10(product of two known values of p and q). This means, for q = 4, we can write:

p * 4 = 80

This means that p is equal to 20.

The value of p is 20 when q=4

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

When two numbers vary inversely, then the will always multiply to the same product,

Here it is 80, because it is 8 x 10

Then product of two known values of p and q).

This means, for q = 4, we can write:

p x 4 = 80

This means that p is 20.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

Answer:

-64

Step-by-step explanation:

8x^3

Let x = -2

8 (-2)^3

8 * -8

-64

Answer:

−4096

Step-by-step explanation:

desmos

Answer:

x = 12.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 71 = 36/x

x tan 71 = 36

x = 36/tan 71

x=12.39579

To the nearest tenth

x = 12.4

Given:

An exam starts at 10:10 and lasts for 75 minutes.

To find:

The time when the exam end.

Solution:

We have,

Starting time = 10:10

Exam duration = 75 minutes

First we will divide the 75 minutes in two parts 50 minutes and 25 minutes.

We know that 50 minutes after 10:10 is 11:00 and 25 minutes after 11:00 is 11:25. So,

10:10 + 75 minutes = 10:10 + 50 minutes +25 minutes)

                               = (10:10 + 50 minutes) +25 minutes

                               = 11:00 +25 minutes

                               = 11:25

Therefore, the exam ends at 11:25.

Answer:

the best buy would be 2 cans of 30 ounces for $40.80

Step-by-step explanation:

why well first you take your amount of ounces needed so 60 then you take every option and divide it and after you divide you multiply by the price of every can so 60/2 is 30 so that means you have to get 30 cans of 2 oz, the you take 30 and multiply by the price so essentially every 2 oz can is $1.99 so take that into account and you do 30 cans x 1.99 = $59.70 so for 30 cans of 2 oz it will be $59.70 the you do the same for the rest so 60/5=12 then 12x3.95= $47.40, 60/12= 5 so 5x8.76= $43.80 and lastly 60/30=2 so 2x 20.40= $40.80 so now you know which one costs less

Answer:

10 hours

Step-by-step explanation:

We can write a ratio to solve

45 pages        300 pages

----------------  = -------------------

1.5 hours           x hours

Using cross products

45x = 1.5(300)

45x =450

Divide by 45

45x/45 = 450/45

x = 10

10 hours