Triangle congruence

A relative frequency of 0.56 means that out of the total number of observations in a given sample or population, 56% of those observations belong to a particular category or have a certain characteristic.

In other words, it is the proportion or fraction of the observations that fall into that particular category or have that characteristic, relative to the total number of observations. For example, if we had a sample of 100 people and 56 of them had brown hair, then the relative frequency of brown hair would be 0.56 or 56%.

To calculate relative frequency, you divide the frequency of a specific event or category by the total number of observations. In this case, the specific event or category occurs 56% as often as the total events or categories observed.

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The area of the region inside the rectangle that surrounds the square is 147 square in.

The side of square is 10 in

Area of square is = side x side

A = 10 x 10

A = 100 square in.

Therefore, Area of square  is 100

The length of rectangle is 19 in and width of rectangle is 13in

area of rectangle  = l x w

A = 19 x 13

A = 247 square in.

Area of rectangle is 247 square in.

To calculate area of the region inside the rectangle that surrounds the square,

= A[rectangle] - A[square]

= 247 - 100

= 147 square in.

Therefore, The area of the region inside the rectangle that surrounds the square is 147 square in.

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The net profit margin ratio for Jones Corporation for 2012 is 14.29%.

The net profit margin ratio or the net income ratio describes the relative size of the net income in comparison with the net sales revenue.

The ratio is the quotient of the two values with the net income as the numerator and the net sales revenue as the denominator, multiplied by 100.

                                      2012               2011

Net sales                    $784,000     $697,000

Cost of goods sold      406,000       377,000

Net income                    112,000         80,000

Net income ratio for 2012 = Net Income ÷ Net Sales x 100

= 14.29% ($112,000/$784,000 x 100)

Thus, when the net profit is compared to the net sales revenue, we can conclude that the net income represents only 14.29% of the net sales.

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Answer:

The area of a segment of a circle is the area of the corresponding sector of the circle  minus the area of the corresponding triangle.

Step-by-step explanation:

We know area of segment of a circle is the area of the corresponding sector of the circle minus the area of the corresponding triangle.

Answer:

Yes in a mathematical way I was correct with the answer I first displayed here but my answers weren't to your satisfaction so If I may....

Step-by-step explanation:

heres a graph

Answer:

Step-by-step explanation:

Since, speed of a car = \(\frac{\text{Distance traveled}}{\text{Time taken}}\)

From  the graph attached,

A point (1, 60) lies on the line shown in graph.

At this point speed of the car = \(\frac{\triangle y}{\triangle x}\)

                                                \(=\frac{60-0}{1-0}\)

                                                = 60 miles per hour

But Billy says the speed of the car is \(\frac{1}{60}\) miles per hour.

So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.

(As per Billy, speed = \(\frac{\text{Time taken}}{\text{Distance covered}}\))

Answer:

biggest number minus smallest number

Step-by-step explanation:

Answer:

i cant sseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

the picture

Answer:

Step-by-step explanation:

It will be a little slanted so i am sorry.

Answer:

the length of RS to the nearest tenth of a foot is 240.6ft

Answer:

240.6

Step-by-step explanation:

In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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Answer:

2950

Step-by-step explanation:

10(250+45)

10(295)

2950

Answer:

answer is (c)

May it help you

Option C. The inequality can then be written as  x² - 2y ≥ 5000 and 2x + 5y <1000

How to write the inequality

Stock = x² - 2y

Purchase = 2x + 5y

Stock is said to be at least 5000 dollars. We can write this as

x² - 2y ≥ 5000

Then the purchase is said to be below 1000. This is written as 2x + 5y <1000

The inequality can then be written as  x² - 2y ≥ 5000 and 2x + 5y <1000

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Answer:

V(t) = 14,000(0.89)^t  

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

Answer:

2nd one

Step-by-step explanation:

y=16x+8

The equation of the line that passes through the points (3,2) and (5,6) is: y = 2x - 4

Given:

we have two points:

(3,2) and (5,6)

we are asked to find the equation of a line that passes through the points (3,2) and (5,6).

let the two points be:

(3,2) = (x₁,y₁)

(5,6) = (x₂,y₂)

we know the point slope form as:

y - y₁ = m(x-x₁)

to find slope:

m = y₂-y₁/x₂-x₁

m = 6-2/5-3

m = 4/2

m = 2

now take the point as :

y - 2 = 2(x-3)

y - 2 = 2x-6

y = 2x - 6 + 2

y = 2x - 4

Hence we get the equation of the line as y = 2x - 4.

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Answer:

25

Step-by-step explanation:

First you have to figure out how much each is worth by itself.

carmel =30

coco chips =50

coconut= 45

then add all of them you'd get 125

subtract 125 from 150 and get 25

Answer:

24 : 84 = 2 : 7

Step-by-step explanation:

We can simplify the ratio 24 : 84 by dividing both terms by the greatest common factor (GCF).

The GCF of 24 and 84 is 12.

Divide both terms by 12.

24 ÷ 12 = 2

84 ÷ 12 = 7

Therefore:

24 : 84 = 2 : 7

Answer:

π represents the ratio between circumference and diameter and for any circle, its always 3.14. Circumference = pi × diameter, so using your approximation of pi it's 10×3.14 = 31.4cm.

Step-by-step explanation:

Answer:

2. Write an equation of the parabola with vertex (3, 1) and focus

(3, 5o3

Answer:

\(\frac{9}{4}\) or \(2\frac{1}{4}\)

Step-by-step explanation:

If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.

So:  \(\frac{3}{4}\) x 3 = \(\frac{9}{4}\)

Hope this helps :)

If one of the effects is substantial, it should be included in the analysis as a control variable.

If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.

If you conduct a two-way between-subjects ANOVA and discover that the interaction F-test is important, the next thing to do is to interpret the results.

You may be interested in estimating the main effects of each variable and the interaction effect.

In a two-way ANOVA, a statistical method is employed to identify the interactions between two variables.

ANOVA stands for analysis of variance.

It is a statistical method used to compare two or more populations by analyzing the variance between them.

F-test is a statistical method used to compare two variances or to test hypotheses about whether two population variances are equal.

It can be used to compare more than two variances in ANOVA.

When the interaction effect in a two-way between-subjects ANOVA is important, the interpretation of the main effects of each variable and the interaction effect must be done.

If one of the effects is substantial, it should be included in the analysis as a control variable.

If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.

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Given data:

The options in the probelm.

The first option expression is,

Here, negative sign shows the parabola is oppen down and vertix is (3,-1).

Thus, first option is correct.

Answer:

Step-by-step explanation:

Answer:

x = \(\frac{1}{2}\)

Step-by-step explanation:

18x = 9
=> x = \(\frac{9}{18}\) (on transposing from LHS to RHS)
=> x = \(\frac{1}{2}\)
Hence the equation can be true when the value of x is  \(\frac{1}{2}\) .
Hope you understood!!

The account value after forty (40) years is approximately $2,789,525.

We can use the formula for future value of an annuity to solve this problem:

FV = PMT * ((1 + r)^n - 1) / r

where FV is the future value, PMT is the annual deposit amount, r is the annual interest rate, and n is the number of periods (years in this case).

For the first year, the deposit amount is $3,000, so:

FV1 = 3000 * (1 + 0.0835)^40 = $65,470.22

For the subsequent years, the deposit amount increases by $300, so:

PMT = 3000 + 300 + 300 + ... = 3000 + 300 * 39 = $15,300

Using this value for PMT, we can calculate the future value for the remaining 39 years:

FV2 = 15300 * ((1 + 0.0835)^39 - 1) / 0.0835 = $2,724,054.54

Adding the two future values together, we get the total account value after forty years:

FV = FV1 + FV2 = $2,789,524.76

Therefore, the account value after forty years is approximately $2,789,525.

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Answer:

Poorly formated. Please fix the question so it is more understandable!

Correlation is a statistical measure of the relationship between two variables. It measures the strength of the association between two variables and can range from -1 to +1. There are three main types of correlations: positive, negative, and zero.

Positive correlation occurs when an increase in one variable leads to an increase in the other, and a decrease in one variable leads to a decrease in the other. An example of this would be the relationship between body weight and calorie intake; as body weight increases, calorie intake tends to increase as well.Negative correlation occurs when an increase in one variable leads to a decrease in the other, and a decrease in one variable leads to an increase in the other. An example of this would be the relationship between smoking and life expectancy; as smoking increases, life expectancy tends to decrease.

Zero correlation occurs when there is no linear relationship between two variables; they are not correlated at all. An example of this would be the relationship between gender and height; there is no linear relationship between the two variables, and so they are not correlated.

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Answer:

Step-by-step explanation:

In Isosceles triangle base angles (angles oppoiste to equal sides) are congruent.

x + x + 98 = 180 {Angle sum proeprty of triangle}

   2x + 98 = 180   {Subtract 98 from both sides}

        2x = 180 - 98

       2x  = 82      {Divide both sides by 2}

        x   = 82/2

x = 41

Answer:

x = 41°

Step-by-step explanation:

An isosceles triangle has 2 opposite sides equal.

Therefore the angle opposite x is also x

Hence:

x + x + 98° = 180° (angles in a triangle add up to 180°)

2x + 98° = 180°

2x = 180° - 98°

2x = 82°

2x/2 = 82°/2

x = 41°

Answer:

115

Step-by-step explanation:

It adds 3 every time and starts with -38. Our equation is:

a52 = -38+3(52-1);

a52 = -38 + 153

a52 = 115

Answer:

115

Step-by-step explanation:

→ First we need to work out the nth term. First we find the difference between each term

-38, -35, -32, -29... ⇔ +3

→ We know the first bit is 3n now we have to find the other section. We need to write the 3 times tables on top of each corresponding term

3 ,   6   ,  9  , 12

-38, -35, -32, -29...

→ We can see the to get from 3 to -38 we minus 41. So the nth term is

3n - 41

→ Now we substitute in 52 for n

3 × 52 - 41

→ Simplify

115

Answer:

6

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-8 - (-2)]² + (3 - 3)²

√(-6)² + (0)²

√36

= 6