What is the measure of ∠
A. 60°

B. 6°

C. 42°

D. 49°

Step-by-step explanation:

1/5=1/5×1000=200

1/2 of 200

1/2×200=100

Answer:

196π units^3

Step-by-step explanation:

The volume of a cylinder is:

πr^2h

SINCE, there is no given pi, the formula will be:

r^2h

Use the formula on the given dimensions:

r^2h

= (7^2) 4

= (49) 4

= 196

So we could just leave the final answer as:

196π

The real volume will be solved once π is given.

I hope I helped!

The volume of the cylinder given is 196 π, Option  A is correct.

The volume of the cylinder is given by V=πr²h

Where r is radius of cylinder and h is the height of the cylinder.

V is the volume

r=7

h=4

Now plug in these values in volume formula.

V=π(7)².4

=π.49.4

V=196π

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Answer:

m∠DAB+m∠ADC=180

115+ 29 + m∠ADB=180

m∠ADB=180 - 115 -29

= 36°

Answer:

x = -1

Step-by-step explanation:

3x - 1/9 (27) = 18

3x - 3

Divide both sides be 3

x = -1

Answer:

x = 7

Step-by-step explanation:

to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :

3x - 1/9(27) = 18

3x - 3 = 18

3x = 21

x= 7

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

Answer:

1. x=72, y=, 108

2.x=30, y=72

Step-by-step explanation:

Brainliest please~

Answer:

3x - 124

Step-by-step explanation:

kindly find solutions in the picture above

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6

Combine all like terms.

(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6

(8x² - 73x²) + 2x + 6

-65x² + 2x + 6

There are no common factors or like-terms to simplify.

So,

The simplified form is -65x² + 2x + 6

Thus,

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

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Answer:

B) To the left five units, down three units

Answer:

( B ) To the left five units, down three units.

Answer:

D

Step-by-step explanation:

usually when your variable is an exponent you always take the log of both sides.

The possible first step of solving the equation is log 5^x = log 21

The equation is given as:

5^x = 21

Take the logarithm of both sides of the equation

log 5^x = log 21

The above represents the possible first step of solving the equation

Hence, the possible first step of solving the equation is log 5^x = log 21

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Answer:

49

Step-by-step explanation:

x = 7

1 / x^-2

= x^2

= 7^2

= 49

Answer: 49

Step-by-step explanation: yeet

[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]

I hope I helped you ^_^

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

load=2000N

Answer:

Solution given:

we have formula

a²+b²=(a+b)(a-b)

now

4x²-9

(2x)²-3²

using formula

(2x+3)(2x-3)

other expression is 2x-3.

Answer:

( 2x - 3 )

Step-by-step explanation:

4x² - 9 is a perfect square meaning it can be factored into 2 expressions,

( 2x + 3 ) ( 2x - 3 )

9514 1404 393

Answer:

  4a. 177

  4b. 248

  5a. 27

  5b. 9

  5c. 12

Step-by-step explanation:

a) x is 3/4 of 1/2 of all, so is 3/8 of all.

  x = 3/8·472

  x = 177

b) x is 2/5 of 2/3 of all, so is 4/15 of all.

  x = 4/15·930

  x = 248

__

Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.

Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.

Answer:

Yup

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

=-251x3+281 +251x3-1+281

=-1

Given:

The number is 3.023.

To find:

The given number in the form of [tex]\dfrac{p}{q}[/tex], where [tex]q\neq 0[/tex].

Solution:

The given number is 3.023. It can be written as:

[tex]3.023=3.023\times \dfrac{1000}{1000}[/tex]

[tex]3.023=\dfrac{3023}{1000}[/tex]

It cannot be simplified further because 3023 and 1000  have no common factors.

Therefore, the given number 3.023 can be written as [tex]\dfrac{3023}{1000}[/tex].

Answer:

875.018

Step-by-step explanation:

To solve this, we must plug in 6 for our t value. So, we have the equation:

-4.982 - 20(6) + 1000

Following the rules of PEMDAS, we have:

-4.982 - 120 + 1000 = 875.018

Answer:

Three times a number minus two times a number

3x-2x

=x

Answer:

Step-by-step explanation:

[tex]\frac{480+24(x-40)}{x}[/tex]

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

Answer:rrrrrrrr

rrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrr

The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x be the first number:

The other numbers are:

x+1, x+2

The sum of three consecutive numbers is 117:

x + x+1 + x+2 = 117

3x + 3 = 117

3x = 114

x = 38

x+ 1 = 38+1 = 39

x+2 = 38+2 = 40

Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.

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Answer:

Choice C.

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

Step-by-step explanation:

When converting to

[tex]y = mx + b[/tex]

We are left with:

[tex]y = - 2x + 3[/tex]

Which fits both the x-intercept and y-intercept.

Answer:

Step-by-step explanation:

starting point: 140 feet below sea level.=-140

she then decends= 7(4.5)=31.5

-140-31.5=-171.5

finally she ascends 112.2 feet

-171.5+112.2=-59.3 feet or 59.3 feet below sea level

Answer:

It's B

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Surface area of a cube = 6a²

Where,

a = edge = 3

Surface area of a cube = 6a²

= 6 * (3)²

= 6 * (3 * 3)

= 6 * 9

= 54

Therefore,

The Surface area of the cube = 54

Answer:

b

Step-by-step explanation:

d = r * t

None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.

The 90 minutes should be changed to hours.  No speedometer on a car is rated in feet per second.

Answer:

1. - 8

2. 3

3. - 2

Step-by-step explanation:

1.

80 = - 10b

- 10b = 80

b = 80 / - 10

b = - 8

2.

6 = 2n

2n = 6

n = 6 / 2

n = 3

3.

- 16r = 32

r = 32 / - 16

r = - 2

two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.

The number of possible groups is 330.

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

It is given as:

[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]

We have,

The total number of people:

5 Democrats and 6 Republicans = 5 + 6 = 11.

The number of persons in a group = 4.

The number of groups possible are:

= [tex]^{11}C_4[/tex]

= 11! / 4! ( 11-4)!

= 11! / 4! 7!

= 11 x 10 x 9 x 8 / 4 x 3 x 2

= 330

Thus,

The number of possible groups is 330.

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Answer:

42.78⁹, 137.22⁹.

Step-by-step explanation:

sine Ф=0.6792

Angle Ф in the first quadrant = 42.78 degrees.

The sine is also positive in the second quadrant so the second solutio is

180 - 42.78

= 137.33 degres.

Answer:

A, E, F

Step-by-step explanation:

From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:

PR = 1/2 PQ which is just 2 PR = PQ(E)

PR √3 = QR (A)

We can substitute in PR from the first equation to the second to get:

√3/2 PQ = QR(F)