What is the image of the point (2,-3) after a rotation of 90 ∘ counterclockwise about the origin?

Answer:

88 square inches

Step-by-step explanation:

A circular plate has circumference 33.3 inches.

Step 1

We find the radius

The formula to find the radius go a circle given circumference is

= C /2π

r = 33.3/2 × 3.14

r = 5.3025477707 inches

Approximately to the nearest thousandth = 5.303 inches

Step 2

What is the area of this plate? Use 3.14 for Pi.

The area of a circle = πr²

Where

π = 3.14

r = 5.3025477707 inches

Hence

Area of the circle = 3.14 × (5.303inches)²

= 88.30248026 square inches

Approximately to the nearest whole number the area of the circle = 88 square inches

The area of this plate is about 88 square inches.

Answer:

[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Step-by-step explanation:

The equation of the curve is

[tex]Y = sin^{-1}(7x)[/tex]

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  [tex]x = \sqrt{\frac{1}{7} }[/tex]

Then slope would accordingly be

[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]

= ∞

For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]

Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Answer:

7.3

Step-by-step explanation:

Answer:

$96

Step-by-step explanation

area of sail = ½×8×12= 48 sq ft

the cost of new sail = 48 × $2

= $96

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

Answer:

6x+12=T

Step-by-step explanation:

Amy bakes x cakes.

Barry bakes 4x.

Ceri bakes x+12

So the total is 6x+12=T

Answer:

f(3)= 12

Step-by-step explanation:

if f(1)= 4 then f(3)= 12

Answer:

60% of the test scores are less than or equal to 82

Step-by-step explanation:

The probability that the arrow will land on 1 or 2 is 2/5.

Probability is the ratio of occurring a certain event out of the total possible events.

If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.

From the given data

Total no. of regions in the circle is 5

The probability that the arrow will land on 1 or 2 is

P(1) = 1/5

P(2) = 1/5

∴ P(1) or P(2) is

= 1/5 + 1/5

= 2/5

Here we have used addition because of OR statement.

Learn more about Probability :

https://brainly.com/question/11234923

#SPJ1

Answer:

1 : 8

Step-by-step explanation:

Given the height of 2 similar cylinders = a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights = 1 : 2

ratio of volumes = 1³ : 2³ = 1 : 8

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Answer:

25x^2 + 30x + 9

Answer:

the correct answer is 5 snowmen

Answer:

d. more than 95%

Step-by-step explanation:

According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.

As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.

Answer:

[tex]-\frac{3p^8}{4q^3}[/tex]

Step-by-step explanation:

[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex]  can be broken down into three fractions, coefficients, powers of p, powers of q.

[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

201.06

Step-by-step explanation:

pi × 8²

Answer:

140

Step-by-step explanation:

Answer:

The total area is 594cm.²

Step-by-step explanation:

The top and bottom each have a length of 36 cm.

Blue side:

36/3= 12cm. (36/3 for the length of one side of a blue square)

12*12= 144cm.² (area of one blue square)

144*3= 432cm.² (area of all the blue squares)

Orange side:

36/8= 4.5cm. (the length of one side of an orange square)

4.5*4.5= 20.25cm.² (the area of one orange square)

20.25*8= 162cm.² (the area of all the orange squares)

Total area:

432+162= 594 cm.²

I hope this makes more sense, have a great day :D

The system of equations that represents the number of each type of basket Jake scored is given by:

x + y = 13

2x + 3y = 28

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Jake scored 28 points in his basketball game by shooting only two-point and three-point shots, hence:

2x + 3y = 28.

He scored a total of 13 baskets, hence:

x + y = 13.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

78 cm^2

Step-by-step explanation:

This will require 3 steps.

1) Area of the entire rectangle

18cm * 8 cm = 144 cm^2

2) Area of the square with one side length of 9cm

The missing measurement for the heights below 2cm

8cm - 2 cm = 6 cm

This area will be 6cm * 9 cm = 54 cm^2

3) Triangle

You have your height, which is 6cm

You also have your base, 18 cm total length minus the 5 cm stated minus the 9 cm also stated.

18cm - 5cm - 9 cm = 4 cm

The area of a triangle is A= h b/2

A = 6 * (4/2)

A = 12 cm^2

Now substract the sum of the smaller rectangle and the triangle from your large triangle

144 - 54 - 12

Answer:

14.67

Step-by-step explanation:

Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?

We have the Equation

150x = 2200

Divide both sides by 150

150x/150 = 2200/150

x = 14.666666667

Approximately x= 14.67

Answer:

divide each side by 150

Step-by-step explanation:

Answer:

y ≥ 18

All numbers greater than or equal to 18

Step-by-step explanation:

y  – 6≥ 12

Add 6 to both sides

y ≥ 18

All numbers greater than or equal to 18

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!