4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet

The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

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

To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).

To find the slope m of the perpendicular equation;

y = 3x + 2 --------------(1)

comparing the equation above with the standard equation of a circle

y=mx + c

m=3

The slope of the perpendicular equation;

 = -1

3 = -1

Divide both-side of the equation by 3

= -1/3

so, the slope of our perpendicular equation is -1/3

Then, we go ahead to find our intercept

To find the intercept, we will plug in the points and the new slope into the formula y =mx + c

5 = -(3) + c

5 = -1 +c

Add one to both-side of the equation

5+1 = -1 + c + 1

6 =c

c=6

our intercept c is equal to 6

so we can now proceed to form our equation.

y = - x  +  6

Multiply through by 3

-3y = -x + 18

We can rearrange the equation, hence;

x -3y -18=0

Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

Answer:

Answer = 39.25 or 39 if rounded to the nearest whole number

Step-by-step explanation:

The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25

Hope that helps! :)

Answer:

b/4

Step-by-step explanation:

After rewriting the quotient as a fraction,

[tex]\dfrac{2ab}{8a}[/tex]

We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to

[tex]\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4[/tex]

[tex](25*10)^6[/tex]

Sure hope this helps you

And please mark me brianiest if this is correct

Answer:

193 m²

Step-by-step explanation:

Let us separate the figure into three parts:

One right angled triangle, square and rectangle.

right angle triangle having height(h) = (10+5+3)m = 18m

base of right angled triangle(b) = 25-(8+4)m = 13m

length of square(l) = 8m

length of rectangle (a) = 4m

breadth of rectangle (w) = 3m

[tex]total \: area \: of figure = area \: of \: triangle + area \: of \: square + area \: of \: rectangle[/tex]

[tex] = \: ( \frac{1}{2} \times b \: \times h ) \: + ({l}^{2} )\: + (a \: \times w)[/tex]

[tex] = (\frac{1}{2} \times 13 \times 18) + {8}^{2} + (4 \times 3)[/tex]

[tex] = 193 \: {m}^{2} [/tex]

Answer:

hypotenuse

Step-by-step explanation:

A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)

Answer:

The average mass of one coffee bag is 75kg.

Step-by-step explanation:

The lorry on its own weighs 3500kg.

If it weighs 7250kg alongside coffee bags, we can make the assumption that to find the total mass of the coffee bags, we must take the combined total and subtract the lorry's weight from it.

7250kg subtract 3500kg is 3750kg.

There are 50 coffee bags, so this is the mass of all 50.

If we want to find the mass of one coffee bag, we have to divide the mass of 50 coffee bags by 50.

3750kg divided by 50 is 75kg.

The average mass of one coffee bag is 75kg.

Answer:

41,257

Step-by-step explanation:

100,000

-

58,743

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

41,257

The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

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.

It is given that:

The annual fundraising goal of a college is $100,000.

Let x be the amount that is needed to reach the goal.

The linear equation in one variable can be framed as follows:

x + 58,743 = 100,000

x = 100,000 - 58,743

x = $41257

Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

(6-2)÷3=1

this is the answer

follow me :)))

Answer:

35 ways

Step-by-step explanation:

[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]

Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.

Answer:

9. 21

10. QP, 8, 18

Step-by-step explanation:

9.

2(4x-65) = 2x-4

6x = 65*2-4 = 126

x = 21

10.

a. QP

b. 8

c. 18

Answer;

10

Step-by-step explanation:

from the question we observed that the shape is a right angled triangle.

and according to Pythagoras theorem, In a right angled triangle the square of the hypothenus is equal to the square of the sum of the other two side

hypothenus = 10

10^2= 8^ + X^2

100= 64 +X^2

X^2 = 100-64

X^2 = 36

X = √36

X= 6

Answer:

Step-by-step explanation:

A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.

__

A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.

  V = (1/3)Bh . . . . . formula for volume of a pyramid

__

Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.

Answer:4.2

Step-by-step explanation:

14 times 70% subtracted from 4.2

The original price or cost price of a board game is 20.

The cost price is the price at which "goods are bought by merchant or retailer".

According to the question,

Joe paid 14.00 for a board game which is 70% of the original price or cost price.

In order to find cost price or original price. Let 'x' be the original price or cost price

70%  =  14

100% = x

x = [tex]\frac{1400}{70}[/tex]           [cross multiplication]

=20

Hence, the original price or cost price of a board game is 20.

Learn more about cost price here

https://brainly.com/question/14256451

#SPJ2

The surface area of the solid is the sum of all the net shapes. The surface area of the solid that this net can form is  730mm²

The surface area of the solid is the sum of all the net shapes.

Given the following parameters

The rectangle has a base of 25 millimeters and a height of 21 millimeters will have an area of 525mm²

The other rectangle has a base of 41 millimeters and height of 5 mm has an area of 205mm²

TSA = 525 + 205
TSA = 730mm²

Hence the surface area of the solid that this net can form is  730mm²

learn more on surface area here: https://brainly.com/question/16519513

#SPJ4

Answer:

390 miles

Step-by-step explanation:

90/3 = 30

30x13 = 390

Using function concepts, it is found that since the savings account receives no interest, the quantity is changing in a linear fashion.

In this problem, the rate of change is a constant of $723 each month, hence the quantity is changing in a linear fashion.

More can be learned about functions concepts at https://brainly.com/question/25537936

#SPJ1

Answer:

BA=15

CA=15/2=7.5

[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]

Answer:

48 lots

Step-by-step explanation:

Answer:

1. See attached

2. largest value = 3 ³/₄ in

3. smallest value = 1 ¹/₂ in

4. It snowed 3 ¹/₄ inches for 3 days

5. To find the two values, add 3 to the smallest value:

⇒ 1 ¹/₂ + 3 = 4 ¹/₂ in

Or subtract 3 from the largest value:

⇒ 3 ³/₄ - 3 = ³/₄ in

Answer:

Step-by-step explanation:

Answer:

y (y/1)

Step-by-step explanation:

the reciprocal of a number is basically what it needs to multiply to to equal to one

so basically you flip the numbers

1/y s reciprocal would be y/1 which is also just y

Answer: y

Step-by-step explanation:

Answer:

337

Step-by-step explanation:

I remember this from UKMT maths challenge.

Let the number of kangaroos in each of the seven parks be , , , , , and with the

corresponding number of koalas being , , , , , and . The question tells us that the

number of kangaroos in any park is equal to the sum of the numbers of koalas in the other six

parks. Therefore we have

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + .

Adding these equations, we obtain

+ + + + + + = 6( + + + + + + ).

The total number of kangaroos in the seven parks is 2022. Hence

+ + + + + + = 2022.

Therefore

2022 = 6( + + + + + + )

and hence the total number of koalas in the seven parks is

+ + + + + + = 2022 ÷ 6 = 337.

Answer:

$102

Step-by-step explanation:

Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat?

1. Convert the discount percentage to a decimal:

15/100 = 0.15

2. Multiply the original price by the decimal:

120*0.15 = $18

This is the discount they got.

3. Now, subtract the discounted value from the original price:

120 - 18 = $102

This means that they paid $102 for the coat.

Hope this helps!

Answer:

$102

Step-by-step explanation:

15% of 120

= 15/100×120

0.15×120=$18

therefore, 15% of 120 equal 18

discount= $18

Amount she paid= 120-18= $102

The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have two inequality:

2x – 3y <12

y < –3

If we draw these two inequalities on the graph, we will see:

On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.

Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

We know:

[tex]{{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ \frac{4}{3} \pi {r}^{3} }}}}}}} \quad \diamond \diamond}[/tex]

where,

[tex] \: [/tex]

[tex]{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {\frac{4}{3} \times \frac{22}{7} \times {6}^{3} }}}}}[/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 6 \times 6 \times 6 }}}}}[/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 216 }}}}} [/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{19008}{21} }}}}} [/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^{3} }}}}}}}}} [/tex]

Thus, The volume of Sphere is 905.14yards³. (Approx.)

Answer:

D. (2y - 7) units by (2y + 7) units

Step-by-step explanation:

To find the perimeter of a shape you add all the side lengths together.

Perimeter of A is 20cm because 7+7+3+3=20

Perimeter of B is 27cm because 9+8+10=27

Perimeter of C is 17cm because 6+6+5=17

Perimeter of D is 34cm because 10+10+4+4+3+3=34

On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.

I hope this helps you have a good day