30 points, high school geometry question.

Answer:

Answer A is the first step

Step-by-step explanation:

Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.

Answer:

21.5

Step-by-step explanation:

Arrange numbers from smallest to largest:

56, 65, 69, 77, 79, 82, 88, 89, 90

The interquartile range is the range in the middle of the data set, we can find it by knowing the upper and lower quartiles.

56, 65, 69, 77, 79, 82, 88, 89, 90

(65+69)/2 = 67

(88+89)/2 = 88.5

The interquartile range:

88.5 - 67

= 21.5

This question is not correctly written

Correct Question

A sector whose central angle measures 120° has an area of 12 square inches. What is the radius of the circle?

Answer:

Radius of the circle = 3.3851375013 inches

Approximately to one decimal place, radius of the circle = 3.4 inches

Step-by-step explanation:

The formula for the area of a sector is given as:

Area of a sector = θ × π/360 × r²

θ = Central angle in degrees = 120°

Area of a sector = 12 in²

12 = (120° × π)/360 × r²

r² = 12 ÷(120° × π)/360

r² = 12 ÷ 1.0471975512

r² = 11.459178217

r = √11.459178217

r = 3.3851375013 inches

Approximately to one decimal place, radius of the circle = 3.4 inches

Answer:

3,067,020 = [tex]3.06702\,\,10^6[/tex]

19.507 = [tex]1.9507\,\,10[/tex]

Step-by-step explanation:

3,067,020 = [tex]3.06702\,\,10^6[/tex]

19.507 = [tex]1.9507\,\,10[/tex]

Answer:

x° = 62

Step-by-step explanation:

The vertical angle to 28 degrees is 28 degrees in size.

The vertical angle to 90 degrees is 90 degrees in size.

Angles in a circle add up to 360 degrees.

x + 28 + 152 + 28 + 90 = 360

x + 298 = 360

x = 360 - 298

x = 62

Angle x is 62 degrees in size.

Split up the interval [0, 2] into n equally spaced subintervals:

[tex]\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right][/tex]

Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

[tex]r_i=\dfrac{2i}n[/tex]

where [tex]1\le i\le n[/tex]. Each interval has length [tex]\Delta x_i=\frac{2-0}n=\frac2n[/tex].

At these sampling points, the function takes on values of

[tex]f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}[/tex]

We approximate the integral with the Riemann sum:

[tex]\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3[/tex]

Recall that

[tex]\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4[/tex]

so that the sum reduces to

[tex]\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}[/tex]

Take the limit as n approaches infinity, and the Riemann sum converges to the value of the integral:

[tex]\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}[/tex]

Just to check:

[tex]\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28[/tex]

Answer: 125

Step-by-step explanation:

For any number to be divisible by 5 it must end in either 0 or 5, thus for a 4 digit odd number it should end with 5 eg.1005,1015,1055 etc.

The exact number of 4 digit odd nos divisible by 5 can be calculated by using Principle of counting:

Therefore, no of possible numbers are: 5x5x5x1=125 numbers

Answer:

1.  perim is 43.2

2. where are the blanks? dont see any

Step-by-step explanation:

Answer:

p=(0,2) q=(0.5,0)

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

            ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                           PEACE!

Answer:

x = ±6

y = 10

Step-by-step explanation:

Solve for the top part.

x² + -4 = 32

x² = 32 + 4

x² = 36

x = √36

x = ±6

Solve for bottom part.

y + y - 4 = y + 6

2y - 4 = y + 6

2y - y = 6 + 4

1y = 10

By solving the upper part and the lower part of the matrix equation, the value of x and y are:

[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]

The given matrix equation can be solved by taking the upperpart to create an equation to solve for x, and also taking the lower part to create an equation to solve for y.

[tex]x^2 + (-4) = 32[/tex] (upper part)

[tex]y + y - 4 = y + 6[/tex] (lower part)

Solve each of the equation in the matrix.

Solve the upper part for x:

[tex]x^2 + (-4) = 32\\\\x^2 - 4 = 32[/tex]

[tex]x^2 - 4 + 4 = 32 + 4\\\\x^2 = 36[/tex]

[tex]x = \sqrt{36} \\\\\mathbf{x = \pm6}[/tex]

Solve the lower part for y:

[tex]y + y - 4 = y + 6\\\\[/tex]

[tex]y + y - 4 = y + 6\\\\2y - 4 = y + 6\\\\2y - y = 4 + 6\\\\\mathbf{y = 10}[/tex]

Thus, by solving the upper part and the lower part of the matrix equation, the value of x and y are:

[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]

Learn more here:

https://brainly.com/question/13694076

Answer:

1152 minutes

Step-by-step explanation:

$104.64-24.00 = $ 80.64

80.64 ÷ 0.07 = 1152

Answer:

8 1/2

Step-by-step explanation:

It is already rounded to the nearest half.

Answer:

0.009 mm

Step-by-step explanation:

Find the difference between the two values.

0.03 - 0.021

0.009 mm more gold coating must be added to finish the ring.

Answer:

17.5

Step-by-step explanation:

A = [tex]\frac{pq}{2}[/tex]

p = 7

q = 5

7 x 5 = 35

35 ÷ 2 = 17.5

Answer:

The correct answer is 70 square units I took the test and got it right! Good luck! God bless you!

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The distance from the x axis is from the point (8,0)

d = sqrt( (8-8)^2 + (-9-0)^2)

   = sqrt(0+ 81)

   = sqrt( 81)

    =9

Answer:

8

Step-by-step explanation:

8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis

Hope this helps

Answer:

B)

Focus = (6,6), directrix is y = 4

Step-by-step explanation:

A parabola is the locus of a point that is equidistant from a fixed line (known as directrix) and a fixed point (known as focus).

The equation of a parabola in vertex form is given as:

[tex]y=a(x-h)^2+k[/tex]

It can be further simplified to:

[tex](x-h)^2=4p(y-k)[/tex]

The directrix of this parabola is given at line y = k - p and the focus is at (h, k + p)

Given that:

[tex]y = \frac{1}{4}(x-6)^2+ 5 \\(y-5)=\frac{1}{4}(x-6)^2\\(x-6)^2=4(y-5)[/tex]

Comparing (x-6)² = 4(y-5) with (x-h)² = 4p(y-k), It can be gotten that h = 6, p =1 and k = 5

The directrix of this parabola is given at line y = k - p = 5 - 1 = 4 and the focus is at (h, k + p) =  (6, 5+1) = (6, 6)

Focus = (6,6), directrix is y = 4

Answer: I think it is “the y-value is always positive” because none of the y-values are below the x-axis, which would make them negative. Hope I helped!

Step-by-step explanation:

Answer:

d) Vessels that are any length

Step-by-step explanation:

MSDs can be defined fully as Marine

Sanitation Devices. Marine Sanitation Devices are devices in the shape of a tank that is used for storing and treating of waste materials when marine vessels e.g. boats are on sea.

It is very inappropriate, unhygienic and illegal to dump waste materials at sea because this could cause harm to the aquatic life forms at sea. This is the reason why a marine sanitation device is required.

There are three types of MSDs

a) Type I

b) Type II

c) Type III

Marine Sanitation Devices are classified into types based on

1) The length of the vessels in which that are installed on.

2. The method for treating or breaking down the waste materials in the devices.

In the question above, the TYPE III MARINE SANITATION DEVICES CAN BE INSTALLED ON VESSELS THAT ARE ANY LENGTH.

This is because the Type III Marine Sanitation Devices are devices that stops the discharge or expelling of waste materials e.g sewage (whether have been treated or untreated) into the sea.

These type III MSDs is consists mainly of a tank used for holding and storing the waste materials. In this tank as well as other types of methods used for treating the waste which the includes incineration, composting e.t.c. may be found in the tank as well. Even after treating the waste in a Type III MSD, it can't be expelled into the sea , it can only be transferred to the Water Treatment Facility when the marine vessel comes to the seaport for more treatment and appropriate disposal.

Answer:

Krista put 0.40 in the first equation meant for the number of stamps.

Step-by-step explanation:

Krista's equation

0.40x+y=45

x+0.55y=18.75

The system of Equation should have been

x + y = 45 (1)

0.40x + 0.55y = 18.75 (2)

From (1)

x=45-y

Substitute x=45-y into (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

Substitute y=5 into (1)

x + y = 45

x+5=45

x=45-5

x=40

This shows that the stamps that cost 0.40 cents were 40 while those that cost 0.55 cents were 5 in number.

Krista's error:

Krista put 0.40 in the first equation meant for the number of stamps.

Answer: A, Krista put 0.40 in the first equation meant for the number of stamps.

Step-by-step explanation:

              Edge 2020.

Answer:

A. x^11 and B. 8x.

Step-by-step explanation:

A monomial is a polynomial with just one term. That would be Options A and B.

Options C and E are trinomials.

Options D and F are binomials.

Hope this helps!

Answer:

A and B

Step-by-step explanation:

Hey there! :)

Answer:

-8/27.

Step-by-step explanation:

Begin by converting 2 1/4 to an improper fraction:

2 1/4 -->   [tex]\frac{9}{4}[/tex]

Divide fractions by multiplying by reciprocal:

[tex]\frac{-2}{3}* \frac{4}{9} = \frac{-2*4}{3*9} = \frac{-8}{27}[/tex]

Therefore, -2/3 divided by 3 1/4 = -8/27.

Answer:

- 8/27

Step-by-step explanation:

-2/3 ÷ 2 1/4= - 2/3 ÷ 9/4 = -2/3 × 4/9 = - 2×4/3×9= - 8/27

Answer:

Step-by-step explanation:

The slope is increasing by one so your unit rate is 1/1 and your slope is 1

Answer:

Irrational

Step-by-step explanation:

Irrational numbers have decimal expansions that neither terminate not repeatable

π = 3.1428.........

-4π =-12.5714..........

Answer:

D. Irrational

Step-by-step explanation:

First, let's calculate what -4π is.

-4π= -4*π= -12.5663706143....

Now, let's analyze the answer choices.

Whole numbers are the numbers 1,2,3,4,5...

Integers are like whole numbers, but negatives are also included.

Rational numbers are numbers that can be written as fractions, or have repeating/terminating decimals.

Irrational numbers cannot be written as fractions, do not repeat and do not terminate.

-12.5663706143... doesn't repeat or terminate, therefore it must be irrational.

Answer:

Answer A

Step-by-step explanation:

Answer A is correct.  Sides 3.6 and 3 form one ratio and sides 5.4 and 4.5 form another ratio of the lengths of corresponding sides.

Answer:

The third option, or initial value:2, rate of change:1.

Step-by-step explanation:

The initial value is where the y-intercept is on the y-axis. For this problem it falls on the 2.

Your rate of change is your slope. I like to think of it as rise/run. Your slope in this graph is 1/1. Or just 1.

let me know if your need further explanation!

Answer:

each cone=3

each scoop of vanilla=2

each scoop of strawberry=1

so:

1 cone 1 vanilla scoop 1 strawberry scoop=6

Answer:

5/42

Step-by-step explanation:

11/6 - 12/7

Make denominators equal.

77/42 - 72/42

Subtract the fractions.

5/42

Answer:

64

Step-by-step explanation:

4/7

16x7= 112

4x16=64

Answer:

option c is the correct ans .

because we can easily substitute the value of y in equn 2 to get value of x..

Answer:

To me, the third one is the best.

Note:  y has  been made subject of formula which makes it easy to substitute it into equation 2 and find x .

Step-by-step explanation:

Answer:

[tex]S=6600\pi \text{ mm}^2[/tex]

[tex]S\approx 20724 \text{ mm}^2[/tex]

Step-by-step explanation:

A can of fruit is geometrically a cylinder.

We are talking about the surface area of a cylinder:

[tex]S=2\pi rh+2\pi r^2[/tex]

[tex]\pi \approx 3.14[/tex]

[tex]r: \text{radius}[/tex]

[tex]h: \text{height}[/tex]

Factoring, we have:

[tex]S=2\pi r (h+r)[/tex]

Calculating the surface area of the can of fruit:

[tex]S=2\pi (30) (80+30)[/tex]

[tex]S=2\pi (30) (110)[/tex]

[tex]S=6600\pi[/tex]

[tex]S\approx 20724 \text{ mm}^2[/tex]