Evaluate the expression 3(2x - 8) /7x when x= -3

Answer:

Since total sum of interior angles of a triangle is 180 Do the calculation you will get it

Answer:B

62ç=32-86

62c=-54

C=0.87

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

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9514 1404 393

Answer:

  (d)  539 mm³

Step-by-step explanation:

The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.

volume of bottom part

  V = LWH

  V = (13 mm)(7 mm)(4 mm) = 364 mm³

volume of the top part

  V = (5 mm)(7 mm)(5 mm) = 175 mm³

Then the total volume is ...

  364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure

Answer:

x = 62.9° (3 sig. fig.)

Step-by-step explanation:

Simply by using the cos law,

cosx = (1.3² + 2.1² - 1.9²)/2(1.3)(2.1)

x = 62.9° (3 sig. fig.)

Answer:

30

Step-by-step explanation:

6x5=30 Just took the test and got 100%

Answer:

250x+1000

Step-by-step explanation:

The linear equation that represents the total amount paid is 1000 + 250x.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given,

Amount of down payment = $1000

Per month payment = $250

For x number of months = $250x

Total paid = 1000 + 250x

Hence "The linear equation that represents the total amount paid is 1000 + 250x".

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[tex]\sqrt{89}[/tex]

Hope This Helps You!

Good Luck Studying ^-^

Answer:

A

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times in the data set while the other values appear only once.

Mode is a measure of central tendency

Other measures of central tendency includes : mean and median

Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most

Blue has the highest relative frequency value

Answer:

1. only 1 unique triangle can be made

2. only 1 unique triangle can be made

3. multiple triangles are possible

4. True

5. True

6. False

7. only 1 unique triangle can be made

8. only 1 unique triangle is possible

9. multiple triangles are possible

10. no triangle is possible

Step-by-step explanation:

Ask in comments if you got any questions.

Answer:All are correct I think.

Step-by-step explanation:

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

Answer:

A

Step-by-step explanation:

Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.

This problem can be explained with sin law,

[Assume KL = 4cm]

(sin15)/4 = (sinL)/11

L = 45.4° or 135° (3 sig. fig.)

Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.

Answer:

9 dollars and 45 cents

Step-by-step explanation:

First find the price of one folder.

$25.20 divided by 8 = $3.15

Then, multiply by 3.

$3.15 x 3 = $9.45

(I accidentally used 3.18 instead of 3.15. Someone corrected me.)

Answer:

25.20 divided by 8 = $3.15 x 3 = 9.45

Step-by-step explanation:

used a calculator, Hope this helps!

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

Volume of the container is option C. 756 cubic feet.

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

Volume of a three dimensional shape is the space occupied by the shape.

Volume of a rectangular prism = Length × Width × Height

Given,

Length = 18 feet

Width = 7 feet

Height = 6 feet

Volume = 18 × 7 × 6 = 756 feet³

Hence 756 cubic feet is the volume of the container.

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Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

Answer:

Slope is -2/3

Step-by-step explanation:

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

1   2  3  4 5 6 7 8 9 10 11 12 13

The distance is 12

Edit: I did it wrong, sorry

---

hope it helps

Answer:

The distance between the two points is 13 units

Step-by-step explanation:

on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not

basically just add them in absolute value |-5| + 8= 13

hope this helps <3

Answer:

$2200

Step-by-step explanation:

1000*11%*20=2200

Step-by-step explanation:

[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]

Answer:

43

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

Answer:

x=1/3

Step-by-step explanation:

Answer:

8.7

Step-by-step explanation:

Answer:

volume = 160 cm³

Step-by-step explanation:

volume = 4 x 4 x 10 = 160 cm³

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form