Using the diagram below, calculate the length of BO.

25 in

4 in

7 in

5 in

Using The Diagram Below, Calculate The Length Of BO.25 In4 In7 In5 In

Answers

Answer 1

Answer:

the answer is 5 inches

Step-by-step explanation:

so for this problem I used the pythagorean theorem which is a^2 + b^2 = c^2.

Using The Diagram Below, Calculate The Length Of BO.25 In4 In7 In5 In

Related Questions

Logan rode his bike 2 1/2 miles in 10 minutes. At this pace, how far can Logan ride his bike in an hour?

a.4 miles
b.25 miles
c.15 miles
d.10 miles

The principal of Brookefield Middle School maintains order by appointing 2 hall monitors for every corridor, and 4 teachers for every 12 hall monitors. If the school has 24 corridors, how many teachers would be required to maintain order in the school?

a.16
b.14
c.12
d.18

The expression 96.8 + (365.21 - 98.76) represents A.
The expression 96.8 + (64.87 - 71.25) represents B.

The numerical value of A - B is)_______
The numerical value of B - A is)_______


Maura works at a car dealership. She earns a base salary plus a commission that is 7% of her total sales.
How much commission does Maura earn from a $30,000 sale?

a.2,100
b.210
c.4,286
d.9,00

Answers

15 you multiply the miles by 6

Answer:

The first one is c.

The second one is a.

third is 272.83 and -272.83

fourth is a

Step-by-step explanation:

your welcome

50 pts !!! What is the product of x+2 and x-7? Write your answer in standard form.
Please use the foil method. show all work!!!

Answers

Answer:

x^2-7x+2x-14 or x squared minus seven x plus two x minus fourteen

Step-by-step explanation:

(x+2)*(x-7)=  x^2-7x+2x-14

First: x^2

Outer: -7x

Inner: 2x

Last: -14

Answer:

x²-5x-14

Step-by-step explanation:

Write the equation (x+2)(x-7)

Multiply (F in FOIL)

x*x =x²

Multiply (O in FOIL)

x*-7 = -7x

Multiply (I in FOIL)

2*x = 2x

Multiply (L In FOIL)

2*-7 = -14

Combine like terms

-7x + 2x = -5x

Write the equation

x²-5x-14

2n - 5 = 31

Answer: The value of n is ....

Answers

Answer:

n = 18

Step-by-step explanation:

2n - 5 = 31

Add 5 to each side

2n - 5+5 = 31+5

2n = 36

Divide each side by 2

2n/2 = 36/2

n = 18

What aspect of this graph is likely being emphasized by the choice of graph style, choice of scale, and so on? a. the unrelated nature of the data b. the broad differences over short intervals c. the total values of the data as a whole d. the indirect connection between weight and leaf content

Answers

Answer:

D

Step-by-step explanation:

Answer is D.

Answer:

d.

the indirect connection between weight and leaf content

Step-by-step explanation:

2000 is placed into a bank account that pays 3% compound interest per year

Answers

The compound interest on 2000 is 60.

Step-by-step explanation:

Given,

Principal (P) = 2000

Rate of interest (r) = 3%

Time (T) = 1 years

To find the interest calculated compound in 1 year.

Formula

Amount = P[tex](1+\frac{r}{100} )^{T}[/tex]

Putting the given values we get,

Amount = 2000[tex](1+\frac{3}{100} )^{1}[/tex]

= 2060

So,

The interest = 2060-2000 = 60

solve for x in the diagram in the pic

Answers

X is 20 because the angles are vertically opposite, and must equal to 60.
So, what doe we have to add to 40 to get 60? 20!
Hope this helps ;)

can you please help with showing all parts please

Answers

Answer:

solution is 7. graphing is: open circle on 7 with the arrow pointing right. -->

Step-by-step explanation:

the answer has to be more than 4, so five or more. Then you add 2 to 5 and get 7. 7-2=5 which is greater than 4.

Which statements about the hyperbola are true? Check all that apply. There is a vertex at (–5, 2). The center of the hyperbola is at (–2, 2). There is a vertex at (–2, 7). The transverse axis is vertical. The directrices are vertical lines.

Answers

First , second and last option are relevant to hyperbola . So , they are correct.

Review each statement to determine if it is true for a hyperbola

It is confirm that the first statement is true because a vertex of a hyperbola is a point on the hyperbola that lies on the transverse axis

It is It is confirm that the second statement is true because the center of a hyperbola is the midpoint of the vertices

It is confirm that the third statement is false because a vertex of a hyperbola is a point on the hyperbola that lies on the transverse axis

It is confirm that the fourth statement is false because the transverse axis of a hyperbola is the line segment that contains the vertices and the foci

It is confirm that the fifth statement is true because the directrices of a hyperbola are two lines parallel to the conjugate axis and located a distance from the center equal to the distance from the center to the foci.

Therefore, the first, second, and last options are correct.

Question :

Equation of the axes: The equation of the axes of a hyperbola is x = h, where h is the x-coordinate of the center of the hyperbola.

Equation of the asymptotes: The equation of the asymptotes of a hyperbola is y = ±(b/a)x, where a and b are the distances from the center to the vertices along the transverse and conjugate axes.

Equation of the conjugate hyperbola: The equation of the conjugate hyperbola can be found by interchanging a and b in the equation of the original hyperbola.

Review each statement to determine if it is true for a hyperbola

1. "A point on a hyperbola that sits on the transverse axis is called a vertex." - True. That's because the vertices of a hyperbola are indeed points on the hyperbola that line up with the transverse axis.

2. "The center of a hyperbola is right in the middle of its vertices." - True. Think of it like finding the midpoint between two ends. That's where the center of the hyperbola sits.

3. "A hyperbola's vertex is exactly where it meets the transverse axis." - false.

4. "The transverse axis of a hyperbola is the line connecting its vertices and foci." - False. The transverse axis actually links the vertices directly, not the vertices and the foci.

5. "The directrices of a hyperbola are two lines that run parallel to its conjugate axis, and they're positioned at a distance from the center to match the distance from the center to the foci." - True. It's like setting up boundaries at a certain distance from the center to guide the shape of the hyperbola.

So, yes, you're right about the first, second, and last statements being true.

incomplete question

To make f continuous at x=2 , f(2) should be defined as what value? Justify your answer.

Answers

Answer:

To make f continuous at [tex]x=2[/tex], [tex]f(2)[/tex] should be defined [tex]x = 2.[/tex]

Step-by-step explanation:

A function, let say [tex]f(x)[/tex], is defined at [tex]x = c[/tex] is continuous at [tex]x = c[/tex]

If the limit of [tex]f(x)[/tex] as [tex]x[/tex] approaches [tex]c[/tex] is equal to the value of [tex]f(x)[/tex] at  [tex]x = c[/tex].

Mathematically it is written as:

if

[tex]\lim _{x\to c}\:f\left(x\right)=f\left(c\right)[/tex]

then

[tex]f(x)[/tex] is continuous at  [tex]x = c[/tex].

So from the above definition, we conclude that:

To make f continuous at [tex]x=2[/tex], [tex]f(2)[/tex] should be defined [tex]x = 2.[/tex]

i.e.

if

[tex]\lim _{x\to 2}\:f\left(x\right)=f\left(2\right)[/tex]

then

[tex]f(x)[/tex] is continuous at  [tex]x = 2[/tex].

To make f continuous at x=2, define f(2) to be equal to 4. This makes the left-hand limit, right-hand limit, and function value at x=2 all equal to 4, which satisfies the definition of continuity.

To make a function continuous at a point, the left-hand limit and right-hand limit at that point must be equal to the function's value at that point. In other words, if a function is continuous at x=a, then

[tex]\lim_{x \to a^+} f(x)=f(a)[/tex]

Therefore, to make f continuous at x=2, we must define f(2) to be equal to the limit of f(x) as x approaches 2 from both the left and the right.

We can see that the limit of f(x) as x approaches 2 from the left is 4. This is because f(x) approaches 4 as x approaches 2 from the left, even though f(2) is undefined.

We can also see that the limit of f(x) as x approaches 2 from the right is 4. This is because f(x) approaches 4 as x approaches 2 from the right, even though f(2) is undefined.

Therefore, to make f continuous at x=2, we must define f(2) to be equal to 4.

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The 8 students in Mrs. Clark's dass were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
13, 4, 8, 15, 15, 11, 16,3
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.

Answers

Answer:

mean=10.625=10.6

median=12

Step-by-step explanation:

Mean

The word mean, which is a homonym for multiple other words in the English language, is similarly ambiguous even in the area of mathematics. Depending on the context, whether mathematical or statistical, what is meant by the "mean" changes. In its simplest mathematical definition regarding data sets, the mean used is the arithmetic mean, also referred to as mathematical expectation, or average. In this form, the mean refers to an intermediate value between a discrete set of numbers, namely, the sum of all values in the data set, divided by the total number of values. The equation for calculating an arithmetic mean is virtually identical to that for calculating the statistical concepts of population and sample mean, with slight variations in the variables used

Median

The statistical concept of the median is a value that divides a data sample, population, or probability distribution into two halves. Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers. Note that when calculating the median of a finite list of numbers, the order of the data samples is important. Conventionally, the values are listed in ascending order, but there is no real reason that listing the values in descending order would provide different results. In the case where the total number of values in a data sample is odd, the median is simply the number in the middle of the list of all values. When the data sample contains an even number of values, the median is the mean of the two middle values. While this can be confusing, simply remember that even though the median sometimes involves the computation of a mean, when this case arises, it will involve only the two middle values, while a mean involves all the values in the data sample. In the odd cases where there are only two data samples or there is an even number of samples where all the values are the same, the mean and median will be the same

plz mark brainliest

The rectangle below has an area of x^2-6x-7 square meters and a width of x-7 meters

Answers

Complete Question:

The rectangle below has an area of x^2-6x-7 square meters and a width of x-7 meters. What expression represents the length of the rectangle?

Answer:

The expression represents the length of the rectangle is (x + 1) meter

Solution:

Given that,

[tex]\text{Area of rectangle} = x^2 - 6x - 7 \\\\Width = x - 7[/tex]

TO FIND: LENGTH = ?

We know that,

[tex]Area\ of\ rectangle = length \times width \\\\Therefore\\\\x^2 - 6x - 7 = length \times x - 7\\\\length = \frac{x^2 - 6x - 7 }{x - 7 }\\\\length = \frac{(x-7)(x + 1)}{x - 7}\\\\\text{cancel out x-7 from numerator and denominator} \\\\length = x + 1[/tex]

Thus expression represents the length of the rectangle is (x + 1) meter

A point at (3, 5) is reflected across the y-axis. What is the distance of this new point y-axis? Explain how you know. axis, NOT the original coordinate pair! 10. Kate plotted a point K in Quadrant I. After she reflected the point across an axis, the reflected point was in Quadrant II. Give a possible ordered pair for point K and its reflection. Describe how the point was reflected. Quadrant IV.) )? (Hint: Look at the across the from the HINT: You MUST count from the x

Answers

When a point is reflected across the y-axis, the x-coordinate remains the same, but the sign changes. The distance of the new point from the y-axis is the same as the distance of the original point from the y-axis.

When a point is Reflecting points across the y-axis, the x-coordinate remains the same, but the sign changes.

So, if the original point is (3, 5), the new point will be (-3, 5). The distance of the new point from the y-axis is still 3 units.

This is because the distance between any point and the y-axis is the distance between the x-coordinate of that point and 0 on the number line.

Learn more about Reflecting points across the y-axis here:

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Solve this question​

Answers

Answer:

∠ RQU = 25°

Step-by-step explanation:

The opposite angles of an inscribed circle are supplementary, thus

∠ URS + ∠ UTS = 180°, that is

∠ URS + 124° = 180° ( subtract 124° from both sides )

∠ URS = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ URS is an external angle to Δ QUR, that is

∠ RQU + 31° = 56° ( subtract 31° from both sides )

∠ RQU = 25°

On a recent trip to the convenience store, you picked up 4 gallons of milk, 6 bottles of water and 5 snack size bags of chips. You total bill before tax was $ 29.7. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.80 more than a bottle of water, how much does each item cost

Answers

Answer:

Milk $3.60

Water $1.80

Chips $0.90.

Step-by-step explanation:

If w = cost of 1 bottle of water, m = cost of 1 gal of milk and c cost of 1 bag of chips we have.

4m + 6w + 5c  = 29.7

Also we have w = 2c and m = 1.8 + w.

From the first equation we have c = w/2.

So substituting for c and m in the initial equation we have:

4(1.8 + w) + 6w + 5(w/2) = 29.7

7.2 + 4w + 6w + 2.5w = 29.7

12.5w = 22.5

w = 1. 80.

So c = w/2 = 1.8/2 = 0.90.

and  m = 1.8 + 1.8 = 3.60.

The cost of bag of chips is $5.58 , bottle of water is $ 11.16 and gallon of milk is $12.96.

What is an Equation ?

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

It is given that

4 gallons of milk, 6 bottles of water and 5 snack size bags of chips costs $29.7

Let the price of bag of chips is $x

Then

bottle of water , y costs twice as much as a bag of chips

y = 2x

a gallon of milk , z costs $1.80 more than a bottle of water

z = y +1.8

z = 2x +1.8

The equation that will be formed is

x + 2x + 2x +1.8 = 29.7

5x +1.8 = 29.7

5x = 27.9

x = $5.58

y = $11.16

z = $12.96

Therefore the cost of bag of chips is $5.58 , bottle of water is $ 11.16 and gallon of milk is $12.96.

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Write -7.5 as a common fraction.

Answers

Answer:

-15/2  (or  -7 1/2)

Step-by-step explanation:

-7.5 is equal to -75/10.

When you simplify it, you get:

-15/2  which simplifies to -7 1/2

please help

Jonathan is trying to drain his pool to install a new liner. The graph below represents the amount of water remaining in his pool as he drains it.

Answers

the independent variable is the # of hrs.
the dependent variable is # of gallons.
the slope is -125.
the y intercept is 13000
3000

A)

Number of Gallons drained per hour; Number of hours (Independent Variables)

Number of Gallons in the pool (Dependent Variable)

B) -25 (It's the negative value of how many gallons are drained in an hour)

C)13000 (It means how many gallons were in the pool to begin with)

D)3000 (It's the corresponding value for 40 as the x-value)

What is the greatest common factor of the given monomials 5m⁴,50nm and15³n²

Answers

Answer:

5m

Step-by-step explanation:

The GCF is 5m assuming that the question was actually:

5m⁴, 50nm, 15m³n²

Final answer:

The greatest common factor of the given monomials 5m⁴, 50nm, and 15³n² is 5m.

Explanation:

To find the greatest common factor of the given monomials 5m⁴, 50nm, and 15³n², we need to factorize each monomial and find the common factors.

The prime factorization of 5m⁴ is 5 * m * m * m * mThe prime factorization of 50nm is 2 * 5 * n * mThe prime factorization of 15³n² is 3 * 5 * 5 * 5 * n * n

Now, we can find the common factors by looking at the factors that are present in each monomial.

The common factors are 5 and m.

So, the greatest common factor is 5m.

24+28 applying distr

Answers

Answer:

Distributive property does not apply here because there is nothing to distribute nor is there any parenthesis.

Look at the figure. How can you prove ∆ABD and ∆ACD are congruent?

Answers

Answer:

You can prove it by the SAS postulate.

Step-by-step explanation:

which equation represents a line parallel to 3x-8y=12?

Answers

Answer:

B. y = -3/8x - 4

Step-by-step explanation:

Given equation: 3x - 8y = 12

Find a parallel line that matches one of the equations shown.

First, find the slope by solving for y:

3x - 8y = 12

8y = -3x + 12

y = -3/8x + 12/8

y = -3/8x + 3/2

Slope m = -3/8

Since the slope of a line parallel is the same slope, the only equation that fits the conditions is B because in the form y = mx + b, m = -3/8

The coroner arrives at the scene of a murder at 11 p.m. She takes the temperature of the body and finds it to be 81.7°F. She waits 1 hour, takes the temperature again, and finds it to be 80.2°F. She notes that the room temperature is 67°F. When was the murder committed?

Answers

Answer:

11:45 AM

Step-by-step explanation:

We have that in one hour the body temperature decreased

went down in

81.7 - 80.2 = 1.2

i.e. 1.2 degrees.

Normal body temperature is 98.6 degrees.

The difference between normal and 11 pm is 98.6-81.7 = 16.9

i.e. 16.9 degrees

now to know how much it decreases every hour:

16.9/ 1.5 = 11.26, that is 11 hours and 15 minutes (1/4 of an hour)

If that was 11:00 PM - 11:15 minutes, the murder was at 11:45 AM

Final answer:

To determine the time of death using body temperature changes from normal to discovered levels, applying physics principles is essential.

Explanation:

The time of death for the old man can be determined by calculating the rate at which body temperature decreases from the normal level to the discovered level. In this case, we have a normal body temperature of 37°C, a discovered temperature of 28°C, and subsequent temperatures of 24°C and 0°C. Using the information provided, the time of death for the old man was approximately 10:00 PM.

This calculation is based on the rate of body temperature decrease from the point of discovery to the hospital, considering the normal body temperature, room temperature, and the temperatures recorded during the investigation. This scenario demonstrates the application of physics principles in forensic investigations to determine the time of death based on body temperature changes.

An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, what is the volume of the​ sculpture? Use 3.14 for piπ HELP Me PLZ

Answers

the volume of the​ sculpture is [tex]Volume = 64.11ft^3[/tex] .

Step-by-step explanation:

Here we have , An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, We need to find the volume of the​ sculpture . Let's find out:

We know that

⇒ [tex]Circumference = 2\pi r[/tex]

According to question ,

⇒ [tex]21.980 = 2\pi r[/tex]

⇒ [tex]\frac{21.980}{2\pi} = r[/tex]

⇒ [tex]r=3.5[/tex]

Now , We know that Volume of cone :

⇒[tex]Volume = \frac{1}{3}\pi r^2h[/tex]

⇒[tex]Volume = \frac{1}{3}(3.14) (3.5)^25[/tex]

⇒[tex]Volume = 64.11ft^3[/tex]

Therefore , the volume of the​ sculpture is [tex]Volume = 64.11ft^3[/tex] .

What is d + 11 =26

..............???​

Answers

15 is D because 26-11=15

Answer:

15

Step-by-step explanation:

subtract 11 from 26 which the opposite operation to get your answer.

Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because the wind is at his back. Let s be his speed in miles per hour riding against the wind. What is an expression that represents his total time in hours riding there and back?

Answers

Answer:

The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.

Step-by-step explanation:

In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:

time = distance/speed

First part:

t1 = 9/s

Second part:

t2 = 9/1.2s = 7.5/s

The expression for the whole course is the sum of each, so we have:

t = t1 + t2

t = 9/s + 7.5/s

t = (9 + 7.5)/s = (16.5)/s

Every 60 minutes the world population increases by 100,000 people. How many people will be born in the next 480 minutes?

Answers

480/60 so about 800k
60 minutes= 1 hour, so every hour 100,000 people.
480 minutes= 6 hours, so after 6 hours 6×100,000 = 600,000

What is the answer 2+495758?

Answers

Answer:

495760

Step-by-step explanation:

Answer:

495760

Step-by-step explanation:

add 2 to 8

The two sets of data below show the number of bubbles blown in fifty trials using two different bubble solutions.

A box plot titled Bubbles Created with Solution 1. The number line goes from 80 to 116. The whiskers range from 80 to 114, and the box ranges from 100 to 112. A line divides the box at 110.
Bubbles Created with Solution 1

A box plot titled Bubbles Created with Solution 2. The number line goes from 72 to 110. The whiskers range from 72 to 110, and the box ranges from 74 to 80. A line divides the box at 76.
Bubbles Created with Solution 2

Which best describes the measure of center that can be used to most accurately compare the two data sets?
the mean, because it increases the influence of outliers

Answers

Answer:

d

Step-by-step explanation:

i got it right

Answer:

the median, because it decreases the influence of outliers

Step-by-step explanation:

idk what I should do

Answers

Answer:

c.

Step-by-step explanation:

All of the things are correct with this one.

Plz help me outt ASAP

Answers

Answer:

53

Step-by-step explanation:

tanx=opp/adj

x=tan^-1(72/54)

x=53.130

Which of the following is a rational number? (1 point)

square root of 79, square root of 80, square root of 81, square root of 82

Answers

The square root of 81 because that is 9

Answer:

81

Step-by-step explanation:

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