What's the product of (3x2 + 7)(6x2 – 4x + 5).

Given:

A chess club with 45 members is electing a new president.

Bob received 18 votes.

To find:

The percentage of the club members who voted for Bob.

Solution:

We have,

Total number of members = 45

Votes received by bob = 18

Now, the percentage of the club members who voted for Bob is

[tex]\%=\dfrac{\text{Number of members voted for bob}}{\text{Total members}}\times 100[/tex]

[tex]\%=\dfrac{18}{45}\times 100[/tex]

[tex]\%=\dfrac{2}{5}\times 100[/tex]

[tex]\%=\dfrac{200}{5}[/tex]

[tex]\%=40[/tex]

Therefore, 40% of the club members voted for Bob.

Answer:

100 defects would be expected

Step-by-step explanation:

200/4=50 for every 50 phones there is one defect

5000/50=100

Answer:

B

Step-by-step explanation:

B/ y - 4 = 4/3(x - 6)

Answer:

c

Step-by-step explanation:

If a piece is equal to 1/10 of a pan , a pan would make 10 brownies

5 pans would make , 10 x 5 = 50 brownies

Answer: c

Step-by-step explanation: each pan is 10 slices so if you multiply that with how many pans you have which is 5 and 5 x 10 = 50

80

Step-by-step explanation:

1. Find an area of 1 triangle:

5x8x1/2=20

2. Multiple by 4

20x4=80

Answer:

The sale price of the vehicle is $36885

Step-by-step explanation:

One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be

25/100 × 49180 = 0.25 × 49180 = $12295.

The sale price of the vehicle would be

49180 - 12295 = $36885

The answer is H-16! Hope this helps! :-)

Answer:

F:64

Step-by-step explanation:

64 divided by 4 is 16.

Answer:

Step-by-step explanation:

Total Weight = 2½ + 1⅓ + 2

= 5/2 + 4/3 + 2

= 15/6 + 8/6 + 12/6

= 35/6

= 5⅚ pounds

This question is incomplete

Complete Question

If the measurement of a central angle is 5pi/6, find the length of its intercepted arc in a circle with a radius of 15 inches

a 33.4 inches

b. 35.6 inches

C. 37.5 inches

d. 39.3 inches

Answer:

d. 39.3 inches

Step-by-step explanation:

We are to find the Arc length of the circle

To solve the above question, the formula is given as:

Arc length = Central angle × radius

From the above Question, we are given:

Central angle = 5pi/6 = 5π/6

Radius = 15 inches

Hence,

Arc length = 5π/6 × 15 inches

Arc length = 235.61944901923448/ 6

Arc length = 39.26990817 inches

Approximately , the Arc length

= 39.3 inches.

Therefore, Option d is the correct answer.

Answer:

Step-by-step explanation:

1. Area of the composite figure = Area of the sector + Area of rectangle

Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]

From the figure,

θ = 30, and r = 65

Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65

                        = 1 1065.55[tex]m^{2}[/tex]

Area of rectangle = length x width

                        = 65 x 4

                       = 260 [tex]m^{2}[/tex]

Area of the composite figure = 1 1065.55 + 260

                                                  = 11325.55

Area of the composite figure is 11326 [tex]m^{2}[/tex].

2.

Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².

A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.

[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]

The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.

The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.

[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]

                                                        [tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]

Thus, the area of the sector of the circle is 7.9194 m².

The area of the reactangle whose length is 5.5 inches while the width is 4 m.

[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]

                                 [tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]

Thus, the area of the rectangle is 22 m².

Now, the total area of the composite figure can be written as,

Area of the composite figure = Area of the sector of circle+Area of rectangle

Area of the composite figure = 7.9194 +22 = 29.9194 m²

Hence, the area of the composite figure is 29.9194 m².

Learn more about Sector of Circle:

https://brainly.com/question/3432053

Answer:

The distance between point R and point Z is 7 blocks below.

Step-by-step explanation:

The question says the distance between Point r and Point Z. R to Z is going down. You start at R and find Z. When you have done that, You count the number of blocks or spaces that they have in between the space. And when you have counted you get your answer. The answer is never a negative number always positve even if the point is has a negative number with posivte or a negivate  with negative or a postive wwith a postive.

Hopefully, it helps and mark me brainiest (AKA: yellow crown) please!

Answer:155

Step-by-step explanation:

because they are parallel lines. If the angles differed even by 1°, eventually the lines would meet, therefore they would not be parallel.

Answer:

Firstly angle 6 and 2 are equal because of corresponding angles

so 6 = 2

Now angle 1 + 2 = 180 ( linear pair)

angle 1 = 180 - 55

1 = 125

hope it helps and your day will fine

Answer:

a1) 65

a2) 25

a3) 45

Step-by-step explanation:

all triangle equal to 180

Answer:

65

25

45

Step-by-step explanation:

1) green triangle 180 - 50 - 65 = 130 - 65 = 65

2) purple triangle 180 - 130 - 25 = 50 - 25 = 25

3) red triangle 180 - 45 - 90 = 90 - 45 = 45

Answer:

15 servings

Step-by-step explanation:

divide the numbers

Answer:

D.) -3

Step-by-step explanation:

N is greater than -4 and less than -2.

Therefore, -3 is N since it is between -4 and -2.

x> 1

i hope it helps you ❤️❤️❤️

Answer:

if x=-4 & y=-14...then x=9 & Y= -1. which is minus 10

Step-by-step explanation:

-4 is 10 under -14. If X=9 then Y= -1.

Answer:

C. 3/4

Step-by-step explanation:

Using the SOH CAH TOA identity;

tan theta = opposite/adjacent

From the diagram

Opposite = x

Adjacent = 12

tan <B  = x/12

Since cot <B = 1/tan <B

cot <B = 12/x

Get x using pythagoras theorem

x² = 20²-12²

x² = 400 -144

x² = 256

x = 16

Hence cot <B = 12/16

cot <B =3/4

Answer:

123

Step-by-step explanation:

BODMAS

1.multiply 20 by 2

2.20 ×2

3. 40+22+40+20+43=123

Answer:

123 :)

hope this helped!

Answer:

6

Step-by-step explanation:

6 divided by 2 is 3

Answer:hey

Step-by-step explanation:

Answer:

225 ft^2

Step-by-step explanation:

From what we have in the question, we have 60 ft of fencing

To maximize the area, we will need to have a square

For a square, the length of all sides are equal

Let us call one of the sides s

Thus, from the perimeter of the square;

4s = 60

s = 60/4

s = 15 ft

The area is thus, the product of the side length of the square

15 * 15 = 225 ft^2

Answer:

Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.

Step-by-step explanation:

Slope Formula: (y2 - y1)/(x2 - x1)

Function 1: m = -2 - (-12) / 1 - 3

m = 10 / -2

m = 5 / -1

m = -5

Function 2: m = 3/1

m = 3

Answer:

7

Step-by-step explanation:

its 7

Answer:

slope Formula = y^2-y^1/x^2+x^1

Step-by-step explanation:

now,

[tex]10 - 3 \div 6 - 5 [/tex]

[tex]7 \div 1[/tex]

[tex] = 7[/tex]

Answer

This question has multiple answers to narrow it down to one we need to know how old is Maria.

Step-by-step explanation:

Answer:

the firs tone is right

Step-by-step explanation:

5 x 2x = 10x + 5 x 8 = 40 which is 10x + 40

Answer:

D. (2, -1)

Step-by-step explanation:

I took the test and got it right.

Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1). So, the coordinates of point S will be (2, -1).

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

If the point is in the second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Triangle QRS is rotated 180° about the origin.

On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1).

So, the coordinates of point S will be (2, -1).

Learn more about the rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2