The radius of the large circle is 3 inches and AB is its diameter. Also, AC is tangent to the large circle at point A. If arc CD = 160 and arc CE = 100, find the area of triangle ABC. ​

The required pair of length and width is given as 2 x 6 square feet and 6 x 2 square feet respectively.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
According to the question,
Perimeter = 16
2L + 2W = 16
L = 8 - W - - - - - (1)

Area  = 12
L × W = 12
(8 - W)W= 12
W² - 8W + 12 = 0
(W - 6)(W - 2) = 0
W = 6 and W = 2
Put this W in equation 1
L = 2 and L = 6

Thus, the required pair of length and width is given as 2 x 6 square feet and 6 x 2 square feet respectively.

learn more about rectangles here:

brainly.com/question/15019502

#SPJ1

Answer:

\(7.25*10^{9}\)

Step-by-step explanation:

To write a number in scientific notation, you need to reduce the number to one which is between 0 and 10.

In this case, 725 and 72.5 aren't possible as they are more than 10.

7.25 is the number we want. So simply count the number of decimal places you need to move in order to turn 7,250,000,000 into 7.25.

7,250,000,000.0

725000000.00

7250000.000

725000.0000

72500.00000

7250.000000

725.0000000

72.50000000

7.250000000

In this case, it is 9.

The most reasonable metric measurement for the height of a kitchen counter is in cm (centimeters), i.e., 9.20×10 −4 cm.

The metric system consists of standard units of measurement for length, weight, and volume. The metric system is based on the decimal system and is used in most countries in the world, except for the United States.

The height of a kitchen counter is a measurement of length. One reasonable metric measurement for the height of a kitchen counter is centimeters (cm). Centimeters are a commonly used unit of measurement in the metric system and are appropriate for measuring smaller lengths such as the height of a kitchen counter.

Therefore, the option C,  9.20×10 −4 cm. is correct.

To know more about metric measurement refer here:

https://brainly.com/question/32000109

#SPJ11

Answer:

4(3+2)

Step-by-step explanation:

Write using order of operations

Answer:

4(3+2)

Step-by-step explanation:

there you go, hope it helps!

Answer:

the total of straw are going to be 9 and there will be a 1/9 chances of getting the short straw. while each friend picks a straw the probability of getting a short straw is going to be higher because the amount of straws are going to be lessened.

Answer:

Cost of 1 bushes = a = $9

Cost of 1 tree = b = $73.5

Step-by-step explanation:

Given:

13 bushes and 4 trees cost = $411

Missing;

6 bushes and 2 trees cost = $201

Find:

Value of bushes and tree

Computation:

Cost of 1 bushes = a

Cost of 1 tree = b

So,

13a + 4b = 411 ...........eq1

6a + 2b = 201 ................eq2

From Eq1 and Eq2

Cost of 1 bushes = a = $9

From eq 1

13a + 4b = 411

13(9) + 4b = 411

Cost of 1 tree = b = $73.5

Answer:

4. 2 sin(πx/180 - 225π/180) + 1

5. 8 sin(x-30º) + 2

Step-by-step explanation:

For question 4, the range of the function is [-1, 3]. The range of a normal sine function would be [-1, 1]. Since the range of the function is twice as large, the value of ‘a’ would be 2 since the function has been vertically stretched by a factor of 2. The function has also shifted 1 unit up, leaving the value of ‘c’ as 1. The distance between a period shown (the troughs) is 495-135 which is 360. The distance between two periods in a normal sine function would be 2π. This means that the graph was horizontally shrunken by a factor of π, but horizontally stretched by a factor of 180 as well. In a normal sine function, when x=0, the function is in the middle of the function’s possible y-values and increases. This happes at x=225, meaning that the function was shifted by 225 units. Putting all of this together, you get 2 sin(π(x-225)/180) + 1. Rewriting this out, you get

y = 2 sin(πx/180 - 225π/180) + 1

For question 5, the range of the graph varies 16 units at most. The normal sine function’s range varies 2 units at most. This means that this function is a sine functon stretched by a vertical factor of 8, leaving ‘a’ to equal 8. Taking the average of the highest and lowest y-values (-6 and 10) would give the midline, being 2. In a normal sine function, this would be 0, meaning that the function was shifted vertically 2 units up. This results in y = 8 sin(x-d) + 2

If x = 30º when y = 2, this means that 8 sin(x-d) = 0

sin(x-d) = 0

sin(30º-d) = 0

d is therefore 30º because sin (0) = 0

The equation is thus y = 8 sin(x-30º) + 2

There are an infinite amount of answers where ‘a’ could be -8, or where d could vary in increments of +/- 180º

Answer:

i think its 96% ???

Step-by-step explanation:

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

To know more about the median, visit:

brainly.com/question/300591

#SPJ11

Answer:

Step-by-step explanation:

ur mom

The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of "Law of Multiple Proportions."

When two elements combine to form and over one compound, the weights with one element which combine with such a fixed weight of the second are in a ratio of small whole numbers, according to the law of multiple proportions.

Some key features regarding the Law of Multiple Proportions are-

To know more about Law of Multiple Proportions, here

https://brainly.com/question/24435494

#SPJ4

The complete question is-

Carbon monoxide can be broken down into carbon and oxygen in a mass ratio of 3:4 or 0.75. Carbon dioxide can be broken down into carbon and oxygen in a mass ratio of 3:8 or 0.375. The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of

snap the question to me personally

I don't understand your typing

I am mubarakamasa

If DC = 10, the measure of DB is 20 units.

An equation to solve for x is 5x + 12 = 8x.

The measure of x is 4.

The measure of ∠BAC is 60°.

The measure of ∠B is 30°.

In Mathematics and Geometry, a perpendicular bisector is a line that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

Therefore, the measure of DB can be calculated as follows;

DB = 2DC

DB = 2(10)

DB = 20 units.

Since the perpendicular bisector of DB is AC, an equation to solve for x is as follows;

5x + 12 = 8x

3x = 12

x = 12/3 = 4.

Since ∠D is congruent to ∠ABC, the measure of ∠BAC can be calculated as follows;

∠ABC + ∠BAC = 90° (complementary angles).

30° + ∠BAC = 90°

∠BAC = 90° - 30°

∠BAC = 60°

Similarly, ∠D is congruent to ∠B;

∠D ≅ ∠B = 30°.

Read more on perpendicular bisectors here: brainly.com/question/19154899

#SPJ1

Answer:

b.) 0

Step-by-step explanation:

i just took the test

Answer:

Step-by-step explanation:

1) The area of the shaded portion is; 63π

2) The area of the shaded portion is; 4π - 8√2

1) The formula for area of a circle is;

A = πr²

where r is radius

The radius here is 9cm and so;

A = π * 9²

A = 81π

The area of a sector is given by the formula;

(θ/360) * πr²

Thus;

A_sect = (80/360) * π * 9²

A_sect = 18π

Area of shaded region = 81π - 18π

Area of shaded region = 63π

2) Using trigonometric ratio, we can find the diameter LN as;

4/LN = cos 45

4/LN = 1/√2

LN = 4√2

Formula for area of semi circle is;

A = ¹/₂πr²

A = ¹/₂ * π * (¹/₂ * 4√2)²

A = ¹/₂ * π * 8

A = 4π

Area of triangle = ¹/₂ * 4 * 4√2

= 8√2

Area of shaded portion = 4π - 8√2

Read more about Area of shaded region at; https://brainly.com/question/1297097

#SPJ1

Answer:

XY = 13 cm

Step-by-step explanation:

Area of a triangle formula:

area = base × height / 2

a = bh / 2

Plug numbers into equation:

32.5 = b × 5 / 2

Multiply both sides by 2 to isolate the variable

65 = b × 5

Divide both sides by 5 to isolate the variable

13 = b

Check your work:

32.5 = 13 × 5 / 2

32.5 = 65 / 2

32.5 = 32.5

Correct

Answer:

13

Step-by-step explanation:

Area=½×b×h

32.5=½×b×5

32.5=5/2b

To get be multiply each side by reciprocal of 5/2 which is 2/5

b =13

Answer:

Step-by-step explanation:

The mean of 4 5 6 7 8

there are 5 numbers in sequence, you can solve at a glance by looking at the number in the middle, or add the numbers and divide them by their number, in any case the answer will be 6

4 5 6 7 8    (6 is central)

or

(4 + 5 + 6 + 7 + 8) : 5 =

30 : 5 =

6

The derivative of the function f(x) = 6x^(-1) at x = 7 is f'(7) = -6/49.

The equation of the tangent line to the graph of f at x = 7 is

y = -6/49x + 6.

To find the derivative of the function f(x) = 6x^(-1) at x = 7 using the limit definition, we need to evaluate the following limit:

f'(7) = lim(x->7) [f(x) - f(7)] / (x - 7)

First, let's evaluate f(7):

f(7) = 6(7)^(-1)

= 6/7

Now, let's evaluate the limit:

f'(7) = lim(x->7) [6x^(-1) - 6/7] / (x - 7)

To simplify the expression, we can combine the terms in the numerator:

f'(7) = lim(x->7) [(6 - 6x^(-1))/7] / (x - 7)

Now, we can simplify further by multiplying the numerator and denominator by x:

f'(7) = lim(x->7) [(6x - 6)/7x] / (x - 7)

Now, we can cancel out the common factor of (x - 7) in the numerator and denominator:

f'(7) = lim(x->7) (6/7x)

Finally, we can substitute x = 7 into the expression:

f'(7) = 6/(7 * 7) = -6/49

Therefore, the derivative of the function f(x) = 6x^(-1) at x = 7 is f'(7)

= -6/49.

To find the equation of the tangent line to the graph of f at x = 7, we can use the point-slope form of a line. We already know the slope, which is -6/49, and we have a point on the graph, which is (7, 6/7).

Using the point-slope form, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope, we can plug in the values:

y - 6/7 = (-6/49)(x - 7)

Now, we can simplify and rearrange the equation:

y = (-6/49)x + (6/49)(7) + 6/7

y = (-6/49)x + 6/7 + 42/49 + 6/7

y = (-6/49)x + 48/49 + 294/49

y = (-6/49)x + 342/49

Therefore, the equation of the tangent line to the graph of f at x = 7 is

y = (-6/49)x + 342/49.

The derivative of the function f(x) = 6x^(-1) at x = 7 is f'(7) = -6/49. The equation of the tangent line to the graph of f at x = 7 is

y = (-6/49)x + 342/49.

To know more about common factor, visit

https://brainly.com/question/30961988

#SPJ11

Answer:

Step-by-step explanation:

5

According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.

The difference in sample means is a point estimate for the difference in population means.

Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.

The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.

The difference between the sample means is a point estimate for the difference between the two population means, as we already know.

Upperclassmen sample mean - underclassmen sample mean = point estimate,

Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.

The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.

Find out more about point estimates at

brainly.com/question/14000344

#SPJ2

Answer:

Step-by-step explanation:

The probability that Steve chooses two different types of biscuits is 5/11 (or approximately 0.4545).

To calculate this, we need to consider the different combinations of two biscuits that Steve can take from the tin. There are two digestive biscuits, three chocolate biscuits, and seven ginger biscuits, so the total number of possible combinations is 12.

The number of combinations where he chooses two different types of biscuits is 5 (2 digestive and 1 chocolate, 2 digestive and 1 ginger, 1 chocolate and 1 ginger).

Therefore, the probability of choosing two different types of biscuits is 5/12, which is 0.4545.

Answer:

I think it's 3

Step-by-step explanation:

becuse if he has 12 biscuits and u take away 2 which is 10. then its says there are 3 chocolate but it might just be chocolate not a biscuit. then u take away 7 and u get 3.

Answer:

x=-2

Step-by-step explanation:

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

hope it helps!:)

Step-by-step explanation:

a. 73-24+24=73

b. 59+35-35=59

c. k+m-m=k

By visual inspection, the best-fitting regression model for the data plot below will be A. Exponential.

Using a line, a regression model statistically predicts the relationship between a dependent variable and one or more independent variables. We fit a mathematical curve to the data set as a representative of the pattern in the data set in order to predict the output based on the inputs when the data exhibits some trend, either linear (making a line) or non-linear (a predictable curve).

We can see that a smooth curve can be fitted in the considered data even though the considered plot does not form a straight line (therefore, no linear fitting). Since the graph of the exponential functions roughly follows the same path (for positive exponent, and increasing value of output).

The following provides the best-fitting regression model for the data plot under consideration: Exponential is Option A.

Learn more about regression model on:

https://brainly.com/question/25987747

#SPJ1

Complete question

By visual inspection, determine the best-fitting regression model for the data plot below.

A) Exponential

B) No pattern

C) Linear decreasing

D) Linear increasing

The height of the flagpole is 27 feet.

Given,

If two triangles are similar, sides of these triangles will be proportional.

Height of the flagpole  = h feet

Shadow castes by the flagpole  = 72 feet

Height of the person  = 6 feet

Shadow casted by the person = 16 feet

By using the property of similar triangles,

Hence, h/6 = 72/16

h = (6×72)/ 16

h = 27 feet

Therefore, The height of the flagpole is 27 feet.

Learn more about Triangles at:

https://brainly.com/question/2773823

#SPJ1

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

Slope -2/5.

Answer:

Solution given:

(x1,y1)=(0,0)

(x2,y2)=(-2,5)

now

slope =(x2-x1)/(y2-y1)=(-2-0)/(5-0)=-2/5

Step-by-step explanation:

"warmer" means the temperature is higher. so, we need to add the degrees.

on Thursday we have therefore 0 + 7 = 7°F.

this is still not "warm" for a human being, but it is "warmer" than (in the sense of "not as cold as") the original 0°F.

you see, so many basic things in math are just common sense. not rocket science ...