Find the hypotenuse.

Answer:

46, 47, 48, or 49

Step-by-step explanation:

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878

The predicted population of Tanzania 5.5 years ago is approximately 46.1 million. This estimation is based on the current population, the population growth rate, and the formula for exponential population growth.

To predict the population of Tanzania 5.5 years ago, we need to use the population growth rate and the current population.

The formula for exponential population growth is:

P = P0 * e^(rt)

Where:

P = population after time t

P0 = initial population

r = growth rate (expressed as a decimal)

t = time in years

e = Euler's number (approximately 2.71828)

Given information:

Current population (P0) = 50.3 million

Growth rate (r) = 2.14% per year

Time (t) = -5.5 years (5.5 years ago)

Converting the growth rate to decimal form:

r = 2.14% = 0.0214

Substituting the values into the formula:

P = 50.3 million * e^(0.0214 * -5.5)

Calculating the exponential growth:

P = 50.3 million * e^(-0.1177)

P ≈ 46.1 million

Rounding the answer to one decimal place and expressing it in millions, the predicted population of Tanzania 5.5 years ago is approximately 46.1 million.

Learn more about predicted population visit:

https://brainly.com/question/32860951

#SPJ11

Answer:

30°

Step-by-step explanation:

x + 90 = 2 × 60 ( angle at center = 2 × angle at circumference.)

x +90 = 120

x = 120-90

x = 30°

Answer:

0.008

Step-by-step explanation:

To know the steps pls look at the pic above

Answer:

(2,-3)

x=2   y=-3

Step-by-step explanation:

2x+y=1         y=1-2x

3x+2y=0

3x+2(1-2x)=0

3x+2-4x=0

-x+2=0

-x=-2

x=2

2x+y=1

2(2)+y=1

4+y=1

y=-3

The area of a triangle is computed as follows:

where b is the base, and h is the height

Replacing with A = 54, h = 18, and solving for b, we get:

The base of the triangle is 6 in

Company A is riskier than Company B. The reason for this is that Company A has a higher risk percentage, meaning that there is a greater chance of experiencing losses, and its Coefficient of Variation is also higher.

The Coefficient of Variation (CV) is used to measure the level of risk in investment portfolios. The formula for CV is given as follows:CV = (Standard Deviation / Expected Return) × 100In this context, we can find out the Coefficient of Variation for Company A as follows:

CV for Company A = (55% / 14%) × 100%

= 392.86

Similarly, we can find out the Coefficient of Variation for Company B as follows:

CV for Company B = (3% / 14%) × 100%

= 21.43

As we can see, the CV for Company A is significantly higher than that for Company B, indicating that Company A is riskier than Company B. The reason for this is that Company A has a higher risk percentage, meaning that there is a greater chance of experiencing losses, and its Coefficient of Variation is also higher.

To know more about Coefficient of Variation visit-

brainly.com/question/30783938

#SPJ11

Answer:

Step-by-step explanation:

The answer is Samples. A sample is a random selection of members of a population. It is a smaller group drawn from the people with the entire population's characteristics.

I hope I have helped.

Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

To learn more about Internal validity, visit the link below:

brainly.com/question/9292757

#SPJ4

Answer:

Hey Mate! Here's your answer.

Step-by-step explanation:

One packet of biscuits requires 2½ cups of flour = \frac{5}{2}25

One packet of biscuits requires 1 \times \frac{2}{3}1×32

One packet of biscuits requires 1 \times \frac{2}{3}1×32cups of sugar. = \frac{5}{3}35

Total ingradiants for one packet of biscuits =

Total ingradiants for one packet of biscuits =( \frac{5}{2} + \frac{5}{3} ) = \frac{15 + 10}{6} = \frac{25}{6}(25+35)=615+10=625

Then, total quantity of both ingredients used in 10 such packets of biscuits =

Then, total quantity of both ingredients used in 10 such packets of biscuits =10 \times ( \frac{25}{6} ) = 5 \times ( \frac{25}{3} ) = \frac{125}{3} = 41 \times \frac{2}{3}10×(625)=5×(325)=3125=41×32

Hope it helped you!

Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.

Step-by-step explanation:

Given: Quantities of dry ingredients for cake:

2 cups of flour, \(\dfrac32\) cups of sugar, and \(\dfrac34\) cup of cocoa.

Total cups of ingredients used = \(2+\dfrac32+\dfrac34\)

\(\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}\)

Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.

The response variable in this experiment is the scores on the midterm exam. The response variable is the one that is measured or observed to determine whether it has been affected by the explanatory variable.

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

The explanatory variable in this experiment is the type of music played in the background during the exam. The explanatory variable is the one that is deliberately manipulated or changed by the researcher in order to observe its effect on the response variable. In this case, the researcher wanted to investigate whether the type of music played during the exam would have an effect on the students' performance, so they manipulated the type of music and observed its effect on the exam scores.

The response variable in this experiment is the scores on the midterm exam. The response variable is the one that is measured or observed to determine whether it has been affected by the explanatory variable. In this case, the researcher measured the exam scores of the two groups to see if there was a difference between the group that listened to Dave Matthews Band and the group that listened to Death Cab for Cutie.

Learn more about variable on:

https://brainly.com/question/13604758

#SPJ4

Answer: To solve the inequality, we start by isolating the variable n:

-6(n-1) < 3

-6n + 6 < 3

-6n < -3

n > 1/2

And for the other inequality:

2(n+1) > 0

2n + 2 > 0

2n > -2

n > -1

Now, we can plot these solutions on a number line:

[-----1/2-----][-------------n > 1/2----------------]

[-----n > -1-----][-------------]

So, the solution set for the inequality is n > -1 and n > 1/2, which means that n belongs to the interval (1/2, +∞).

Step-by-step explanation:

Answer:

\(x= \frac{-1}{3}\) or \(x= -1\)

Step-by-step explanation:

Step 1: Subtract 1 from both sides. 3x2+4x+1−1=0−1 3x2+4x=−1

Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3. 3x2+4x 3 = −1/3 x2+ 4/3 x= −1/3

Step 3: The coefficient of 4/3x is 4/3. Let b=4/3. Then we need to add (b/2)^2=4/9 to both sides to complete the square.

Add 4/9 to both sides. x^2+ 4/3 x+ 4/9 = −1/3 + 4/9 x^2+ 4/3 x+ 4/9 = 1/9

Step 4: Factor left side. (x+ 2/3 )^2= 1/9

Step 5: Take square root. x+ 2/3 =±√ 1/9 Step 6: Add (-2)/3 to both sides. x+ 2/3 + −2/3 = −2/3 ±√ 1/9 x= −2/3 ±√ 1/9 x= −1/3 or x=−1

Answer:

I think it's 70

Step-by-step explanation:

if this is multiplication I just did 14x5 if it's wrong or someone want to correct me pls do or pls tell me thank you have a great day!

Answer:

6 packages

Step-by-step explanation:

First, let's list an important conversion. 1 pound = 16 ounces.

For the sake of this explanation, and because I think this is mathematically easier to deal with, we are going to be dealing in ounces.

So, step one, convert 5 pounds to ounces. For this, we just multiply 5 by 16 to get 80.

Now, we know each package of carrots weighs 14 ounces each. Since we need to see how many times 14 goes into 80 (remember, 80 is the same as 5 pounds), we use division.

80/14 = 5

But, hey! You can/t buy 5/7ths of a package. So we need to buy an ENTIRE EXTRA PACKAGE just to make up for it.

So we round our number up to 6.

( i got this from another girl, hope this helps)!

The value of the number is -13/3

Algebraic expressions are defined as expressions that are composed of arithmetic operations such as subtraction, multiplication, division, addition, bracket and parentheses.

These expressions are also made up of variables, terms, coefficients, constants and factors.

From the information given, we have that;

The number = x

3x + 4 = -9

collect like terms

3x = -9 - 4

subtract the like terms

3x = -13

Make 'x' the subject

x = -13/3

Hence, the value is -13/3

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Answer:

B.

Step-by-step explanation:

Well, we know x=-3.

Substitute -3 for x in the equation, and solve. You should get -6.

(x,y)

(-3,-6)

Answer:

I was expecting a mirror but okay

Answer: choose the option that best matches the answer I give you.

blank 1: lesser than

blank 2: 1

blank 3: 9

Step-by-step explanation:

Image of triangle is missing, so i have attached it.

Answer:

x = 18

Step-by-step explanation:

From the diagram attached, we can see that the 3 given sides have dimensions of x, 16 and 30.

Also, we see the angle opposite the dimension of x is 30°

Thus,we can use law of cosine to fjnd the value of x. Thus:

x² = 16² + 30² - 2(16 × 30)cos 30

x² = 256 + 900 - (960 × 0.866)

x² = 324.64

x = √324.64

x = 18.02

Approximating to the nearest tenth gives; x = 18

The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

Learn more about sample standard deviation: https://brainly.com/question/18567452
#SPJ11

Answer:

m = -4

point = (-3,2)

Step-by-step explanation:

this is point slope form. y-y1=m (x-x1)

you can find the points from this and the slope. point = (x1,y1)

Answer:

Line S and Line Q

Step-by-step explanation: Line S and Q would form a pair of perpendicular lines because perpendicular lines form a 90 degree angle.

A pair of perpendicular lines in the given figure are line q and line s.

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

Given:

There are 4 lines in the diagram.

To find the pair of perpendicular lines:

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

And line q is perpendicular to line s.

Therefore, line q is perpendicular to line s.

To learn more about the perpendicular lines;

https://brainly.com/question/1202004

#SPJ2

The 4 different types of items will be selected.

What is the combination?

Combinations are mathematical operations that count the number of possible configurations for a set of items where the order of the selection is irrelevant. In combinations, you can select the items in any order.

\(nCr = \frac{n!}{(n - r)! \ r!}\)

This formula to find the number of combinations by using r objects from the n objects is also referred as the ncr formula.

so, we have 4 items and a person randomly selects 3.

\(nCr = (n, r) = (4, 3)\)

\(= \frac{4!}{3!(4 - 3)!}\)

= 4! / 3!

= 4

Hence, The 4 different types of items will be selected.

To learn more about the combination visit,

https://brainly.com/question/11732255

#SPJ4

The volume of the rectangular pyramid is 54,600 feet³.

what exactly is a rectangular pyramid?

A rectangular pyramid is a geometric solid that has a rectangular base and triangular sides that come together at the apex. In other terms, it's a pyramid with a rectangular base. Four sides and four right angles make up the rectangular foundation (90 degrees). The four triangle sides are all the same shape and size, and they slope upwards to form a point at the top. The perpendicular distance from the peak to the base is the pyramid's height. The volume of a rectangular pyramid is calculated as V = (1/3)Bh, where B is the area of the rectangle base and h is the pyramid's height.

Now,

The volume of a rectangular pyramid :

V = (1/3) * length * width * height

Substituting the given values, we get:

V = (1/3) * 39 feet * 20 feet * 70 feet

V = 54,600 feet³

Therefore, the volume of the rectangular pyramid is 54,600 feet³.

To know more about rectangular pyramid visit the link

https://brainly.com/question/21334693

#SPJ1

Step-by-step explanation:

Convert 34 Decimeters to Kilometers (dm to km) with our conversion calculator and conversion tables. To convert 34 dm to km use direct conversion formula below.

34 dm = 0.0034 km.

You also can convert 34 Decimeters to other Length (popular) units.

Answer:

34dm=0.0034km

Step-by-step explanation:

1dm=0.0001km

0.0001 times 34= 0.0034.

Answer:

the answer is D

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

EG = EF + FG;

5x-8 = 2 + 3x-5

2x = 5

x = 2.5

FG = 3x-5 = 2.5

Numerical values of,

Million: 1,000,000

Billion: 1,000,000,000

Trillion: 1,000,000,000,000

Quadrillion: 1,000,000,000,000,000

Zillion and Gazillion: These are informal and exaggerated terms that do not have specific numerical values

Million: A million is a number equal to 1,000,000 (one followed by six zeros). It is often used to express large quantities of things, such as the population of a city or the number of dollars in a large fortune.

Billion: A billion is a number equal to 1,000,000,000 (one followed by nine zeros). It is a larger quantity than a million and is often used in economic contexts, such as the value of a company or the national debt of a country.

Trillion: A trillion is a number equal to 1,000,000,000,000 (one followed by twelve zeros). It is an even larger quantity than a billion and is often used in scientific and astronomical contexts, such as the distance between stars or the number of cells in the human body.

Quadrillion: A quadrillion is a number equal to 1,000,000,000,000,000 (one followed by fifteen zeros). It is an extremely large quantity and is rarely used in everyday contexts.

Zillion and Gazillion: These are informal and exaggerated terms that do not have specific numerical values. They are often used to express an extremely large or unknown quantity in a humorous or hyperbolic way.

Learn more about number here

brainly.com/question/1795655

#SPJ4

The value of y for the equation y = |x| + 1 is 10.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y = |x| + 1          (1)

To find the value of y when x is - 9.

Substitute the value of x in equation (1),

y = |-9| + 1

The mode value of is always positive,

y = 9 + 1

y = 10

The required value of y is 10.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2