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Answer:

Option C and D

Step-by-step explanation:

2π/3 refers 120°which falls in the second quadrant. In second quadrant sin  value is positive and tan & cos value is negative.

tan 120 = - tan 60 = -√3

Answer:

-2

Step-by-step explanation:

Open the brackets on both sides

12r + 16 = -16r - 40

collect like terms

12r + 16r = -40 - 16

28r = -56

r = -56/28

r = -2

Answer: 3/4 of a mile

Step-by-step explanation:

Answer:

f(-8) = 57

Step-by-step explanation:

When x = - 8

f(-8) = 2 x (-8)² + 7 x (-8) - 15

f(-8) = 2 x 64 - 56 - 15

f(-8) = 128 - 56 - 15

f(-8) = 128 - 71

f(-8) = 57

[tex]\sf f(x) = 2x^2 + 7x - 1[/tex]

Just substitute the value of x as (-8) .

[tex]\sf f(-8) = 2(-8)^2 + 7(-8) - 15[/tex]

[tex]\sf f(-8) = 2(64) - 7(8) - 15[/tex]

[tex]\sf f(-8) = 128 - 56 - 15[/tex]

[tex]\sf f(-8) = 128 - 71[/tex]

[tex]\sf f(-8) = 57[/tex]

Answer:

-8

Step-by-step explanation:

the pattern is times 4

AM I PLAYING 2048??????

Answer:

-8

Step-by-step explanation:

This is a geometric sequence. Each term is obtained by multiplying 4 with the previous term.

common ratio = -128 ÷ (-32) = 4

-2 *4 = -8

Answer:

150cm^2

Step-by-step explanation:

Let the side of a cube = a cm

Volume of the cube = a³ = 125

Or, a³ = 5³

Or, a = 5 cm

Surface area of the cube = 6a²

Or, Surface area of the cube = 6×5×5

Or, Surface area of the cube = 150 cm²

Answer:

(-7, 8)

step-by-step explanation:

if translated two units horizontally, there will be change in x axis

if reflected over x-axis, use the formula: (x,y) → (x, -y)

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = [tex]\frac{3}{4}[/tex] = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

Rate = distance / time

Rate = 21 miles / 3 hours

Rate = 7 miles / hour

The answer is choice A. Hope this helps.

Answer:

111

Step-by-step explanation:

180-161=19

19+50=69

180-69=111

Answer:

x=111°..............

Answer:

When dividing with same base and different exponents, you need to subtract the exponents.

[tex]7^8/7^4\\= 7^8^-^4\\= 7^4[/tex]

Answer: C

Step-by-step explanation: 7^8= 5764801. And 7^4 = 2401. 5764801/2401 = 7^4

The solution of the given equation [tex](4x-16)^{1/2} = 36[/tex] is 328.

The given equation is:

[tex](4x-16)^{1/2} = 36[/tex]

The solution of an equation is to find out the numeric value of the variable such that Left-hand side and Right-hand side becomes equal.

Squaring both sides of the given equation.

[tex][(4x-16)^{1/2} ]^2= (36)^2[/tex]

[tex]4x-16 = 36^{2}[/tex]

[tex]4x -16 =1296[/tex]

[tex]4x =1296+16[/tex]

[tex]4x = 1312[/tex]

x= 328

Therefore, The solution of the given equation [tex](4x-16)^{1/2} = 36[/tex] is 328.

To get more about equations visit:

https://brainly.com/question/9423572

The length of a rectangle is 5 more than twice the width. If the perimeter of the rectangle is 34 cm find the length?

In this question we are provided with the perimeter of the rectangle = 34 cm and it is given that the length of the rectangle is 5 more than the twice it's breadth and asked to find out the length of the rectangle.

[tex] \small \orange{ \underline{\rm \blue{length \: of \: a \: rectangle \: is \: 5 \: more \: than \: twice \: the \: width.}}}[/tex]

Let us assume breadth as x then length = 2x +5

We know,

[tex] \star \: \large\boxed{ \rm{ Perimeter_{(rectangle)} = 2(length + breadth)}}[/tex]

Substituting the values we get

34 = 2(2x +5 + x)

→ 34 = 2(3x + 5)

→ 34 = 6x + 10

→ 34 - 10 = 6x

→ 24 = 6x

→ [tex]\dfrac{24}{6}[/tex] = x

x = 4

Length = 2x + 5 = 2 × 4 + 5 = 8 + 5 = 13 cm

Breadth = x = 4cm

Length = 13 cm.

Answer:

m∠JTS = 104° ⇒ (A)

Step-by-step explanation:

The measure of an exterior angle of a triangle at one of its vertices equals the sum of the measures of the opposite interior angles.

Let us use this fact to solve the question

In ΔTSR

∵ T ∈ ray RJ

∴ ∠JTS is an exterior angle of ΔTSR

→ By using the fact above

∴ ∠TSR and ∠TRS are the opposite interior angles to ∠JTS

∴ m∠JTS = m∠TSR + m∠TRS

∵ m∠JTS = 27x - 4

∵ m∠ TSR = 30°

∵ m∠TRS = 18x + 2

→ Substitute their values in the equation above

∴ 27x - 4 = 30 + 18x + 2

→ Add the like terms in the right side

∴ 27x - 4 = 18x + 32

→ Add 4 to both sides

∴ 27x = 18x + 36

→ Subtract 18x from both sides

∴ 9x = 36

→ Divide both sides by 9

∴ x = 4

→ To find m∠JTS substitute x by 4 in its measure

∴ m∠JTS = 27(4) - 4 = 108 - 4

∴ m∠JTS = 104°

Answer:

x= -10

if u need explanation pls let me know

Answer: The stick that opens the blinds and, the string that pulls open the blinds.

Answer:

d multiplication ‌ ‌ ‌ ‌ ‌

Answer: The number of books she should put on each shelf = 7

Step-by-step explanation:

Given: Total books = 116

Total shelves = 16

To determine : The number of books she should put on each shelf, we first divides the total number of books by the total shelf.

[tex]116\div 16=7\dfrac14[/tex]

So she can put 7 books in each shelf such that (7x16=) 112 books got placed and (116-112=)4 books left.

Hence, The number of books she should put on each shelf = 7.

Answer:

d. KL LM MK

Step-by-step explanation:

side opposite to the smallest angle is the shortest side and the side opposite to the largest angle is the longest side.

57 + 64 = 121

180 - 121 = 59

angle K is 59 degrees

onlinemath4allcom

Answer:

[tex]\mathsf{\cos T=\dfrac{28}{53}}[/tex]

Step-by-step explanation:

[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]

[tex]\implies \mathsf{\cos T=\dfrac{28}{53}}[/tex]

Answer:

8+2g

Step-by-step explanation:

Answer:

Step-by-step explanation:

right parenthesis, equals, 13, t, minus, 2 so think about it when you divide

k(t) = 13t-2k(t)=13t−2k then your answer would maybe be k=134

Answer:

The answer is 39 -2k

Step-by-step explanation:

Answer:

Ken would see 40 cars pass each minute.

Step-by-step explanation:

40 x 3 = 120

Have a great rest of your day
#TheWizzer

Answer:  40 cars pass per minute.

Step-by-step explanation:

[tex]\frac{120cars}{3minutes\\}[/tex]  = [tex]\frac{?cars}{1minutes}[/tex]

        3? = 120  [cross multiply]

          ? = 40    [divided 3 from both side]

Therefore, 40 cars passes per minute.

Answer:

when u have a proper balance of diet also

Answer:

Exercise is a benefit when you are not eating very healthy and you may think your fat. It's good to exercise because then you can get more fit and fell better about your body and what you eat.

Step-by-step explanation:

She buys it for £300,000 and sell it for £315,000 -> she profits £15,000.

So, the percentage profit Emma makes is : 15,000 : 300,000 = 0.05 -> 5%.

Answer:

5%

Step-by-step explanation:

300000 = 100%

1% = 300000 ÷ 100 = 3000

She made 15000
15000 ÷ 3000 = 5%

Answer:

x = 33°

explanation:

The interior angles sum up to 180°

solve:

x + 20° + 4x - 5° = 180°

x + 4x + 20° - 5° = 180°

5x + 15° = 180°

5x = 180° - 15°

5x = 165°

x = 33°

Answer:

x = 33

Step-by-step explanation:

Sum of consecutive interior angles = 180°

⇒ (x + 20) + (4x - 5) = 180

⇒ 5x + 15 = 180

⇒ 5x = 165

⇒ x = 33

Answer: x= 4/3 but in decimal form =1.333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4-(2*(3*x-2))=0

4 -  2 • (3x - 2)  = 0

Pull out like factors :

  8 - 6x  =   -2 • (3x - 4)  

Solve  :    3x-4 = 0  

Add  4  to both sides of the equation :  

                     3x = 4

Divide both sides of the equation by 3:

                    x = 4/3 = 1.333

Answer:

x= undefined

Step-by-step explanation:

In order to make u understand , if u multiply 2(3x-2) it becomes 6x-4 which is the exact same as the left hand side . Therefore u cant find x from here in this manner .

For this however we can try the method bellow .

Lets say f(x)=y=6x-4=2(3x-2)

we can get the followig points for inserting domains and finind the domains . we can make graph for each . (We will not do them however)

As we have seen that both of those parts of the equation are one and the same so they will produce the exact same Line or curve .

Therefore every signle points on them r the same exact points and there fore they are the same exact line .

So the value of x is undefined and can be anything between every points on that line (Which can be infinit amounts of points) .

Answer:

B

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The middle dot of the box is the median.

Answer:

the median is 44.75

Step-by-step explanation:

first i add up all the numbers

40+37+48.5+53.5=175

then i divide them by how 4

179 divided by 4=44.75