In the diagram below, BC is an altitude of AABD. To the nearest whole unit, what is the length of CD? ​

In The Diagram Below, BC Is An Altitude Of AABD. To The Nearest Whole Unit, What Is The Length Of CD?

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Using the Pythagorean theorem, find BA: [tex]\sqrt{37^{2}+53^{2} } = \sqrt{4178}[/tex]

Making BC = x, find the lenth of BD: [tex]\sqrt{x^{2} +37^{2} }[/tex]

Since DBA is a right triangle, this follows: [tex]DA^{2}=BD^{2}+BA^{2}[/tex]

Substitute: [tex](x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}[/tex]

Expand: [tex]x^{2} +106x+2809=x^{2} +5547[/tex]

Solve: 106x = 2736

Finally: x ≈ 25.8 ≈ 26

Therefore: C


Related Questions

My fellow Americans, tonight, I’d like to talk with you about immigration.
For more than 200 years, our tradition of welcoming immigrants from around the world has given us a tremendous advantage over other nations. It’s kept us youthful, dynamic, and entrepreneurial. It has shaped our character as a people with limitless possibilities—people not trapped by our past, but able to remake ourselves as we choose.
–Address to the nation on immigration, President Obama, 2014
Which advantages of immigration does President Obama name in this passage? Check all that apply.
It has helped create new businesses.
It has helped boost the nation’s military.
It has helped shift the nation’s death rate.
It has shaped the character of the country.
It has given us benefits that other countries do not have.

Answers

Answer:

A, D, and E

so basically, It has helped create new businesses. It has shaped the character of the country.  It has given us benefits that other countries do not have.

Answer:

A,D, and E

Step-by-step explanation:

just answered the question

8.
A recipe calls for 4 cups of dry ingredients. Of the 4 cups, 1 cup
is flour. What is the ratio of cups of flour to cups of
other dry ingredients used in the recipe? write as a fraction

Answers

I think the answer here is 1/3.

1 being the cup of flour and 3 are the remaining cups of other ingredients.

Write a polynomial function of least degree in standard form that has the given zeros: -1, 2, 3−1,2,3

Answers

Answer:

well base on my stuck knowledge i think jimmy neutron can answer that

thanks me later

Estimate 55.8 ÷ (-3.1). Then find the quotient.

Answers

Answer:

-18 is your answer

Step-by-step explanation:

To check is -18 is the right answer or not, you can just multiply -18 and -3.1 which should equal up to 55.8

The lowest point on Earth is Challenger Deep, at the bottom of the Marina Trench: 35,797 feet below sea level. The highest point is the summit of Mount Everest: 29,029 feet above sea level. What is the distance, in feet, between Challenger Deep and Mount Everest? Explain your answer.

Answers

Answer:

Step-by-step explanation:

add the two together to get your answer of 64,826. the reason why you would is because the marina trench is represented as 35,797 with sea level being 0. so to find the difference you would do 29,029-(-35,797), or just add the two together

Answer:

100,623

Step-by-step explanation:

Prompt: A car is traveling down a highway at the constant speed, described by the equation “d=65t” , where “d” represents the distance, in miles, that the car travels at this speed in “t” hours.

Question 1:
1. What does 65 tell us in this situation?

a. The car travels 65 miles in 1 hour.
b. The constant of proportionality is 65 miles per hour.
c. The car traveled a total of 65 miles
d. The car is traveling 65 miles per hour.

—————————————————————

Question 2:
2. How many miles does the car travel in 1.5 hours?

The car travels □ miles in 1.5 hours.

—————————————————————

Question 3:
3. How long does it take the car to travel 26 miles at this speed?

“Type your response in the down below”

Please Help!

Answers

Answer:

1) d

2) 97.5 miles

3)I am unsure on

Step-by-step explanation:

1) d=65t means that it is moving 65 miles per that amount of time (in this case using mph)

2) you take your equation "d=65t" and fill in your time (1.5) 65(1.5)=97.5

3) I don't know but possibly 2.5 minutes? (65/25) but I'm not sure I'm sorry

Mark and Dennis need 4 pounds of sassafras to make one barrel of rootbeer but they only have 1 pound. How much rootbeer can they make?

Answers

I’m pretty sure you can make 1/4 of barrel of root beer

1936 —The electric guitar debuts.
1946 —Muddy Waters cuts the first records of Chicago's electric blues and Carl Hogan plays a powerful guitar riff on Louis Jordan's Ain't That Just Like a Woman.
1948—Columbia Records introduces the long playing (LP) vinyl record.
1949—Fats Domino cuts a new kind of boogie, The Fat Man.
1951—Cleveland disc jockey Alan Freed coins the term rock and roll.
1955—Elvis Presley’s Heartbreak Hotel makes him the first rock star.
1958—Billboard magazine begins their Hot 100 chart listing popular songs.
1959—The National Academy of Recording Arts and Sciences presents the first Grammy Award.
1959—Berry Gordy Jr. founds Motown Records. In the 1960s Motown stars include the Supremes, Stevie Wonder, and Marvin Gaye.
1961—Country Singer Patsy Cline becomes a mainstream pop music hit.
1964—The Beatles song I Want to Hold Your Hand is a sensation igniting the British invasion.
1969—The Woodstock Music and Art Fair, featuring such artists as Janis Joplin, Jimi Hendrix, the Who, and Joan Baez, is attended by hundreds of thousands of fans.
1975—CBGB (Country Bluegrass & Blues) club in New York showcases punk rock.
1977—The movie Saturday Night Fever popularizes disco music.
1978—Hip Hop, a blend of rock, jazz, and soul, is born in the South Bronx, characterized with African drumming.
1981—MTV music television debuts with nonstop music videos.
1983—Compact discs begin to replace vinyl records.
1984—Cyndi Lauper's Girls Just Wanna Have Fun moves up the charts. In his early teens, Ricky Martin begins his five-year stint with Menudo. Madonna releases her debut album; the single Holiday becomes a hit.
1985—Michael Jackson releases Thriller and the video becomes a classic.
1989—Britney Spears makes her musical television debut as an 8-year-old child on Star Search.
1990—Grunge rock rises in Seattle, featuring bands such as Nirvana and Pearl Jam.

Answers

Answer:

yes

Step-by-step explanation:

In the first round of a card game, niki scored 20 points. Then, she lost 10 points on one turn and a additional 25 points on her final turn. What’s niki’s final score?

Answers

20-10= 10 + 25 = 35!!!

The high temperature for the day is 28°F. The record low for the day was -12°F. What is the difference in temperature?

Answers

Answer:

40

Step-by-step explanation:

12 + 28

Answer:

40°

Step-by-step explanation:

So the highest is 28 and the lowest is -12. First, you get to zero so 28-28=0 then, to get to -12 you do 0-12= -12. Then I added 28+12 :D

A swim club has two payment plans.
You can become a member by paying a $12 new member fee and use the pool for $3 a visit.
Or, you can use the pool as a nonmember for $5 a visit.
For how many visits would it cost the same to be a member or a nonmember?

Answers

3a + 12 = 5a

12 = 2a

a= 6

6 visits

Write the equation of the line that passes through the points (-9, -3) and (-7,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y - 7 = 5(x + 7).

Step-by-step explanation:

The slope m  (7--3)/ (-7- -9)

= 10 / 2 = 5.

y - y1 = m(x - x1)

Using the point (-7, 7):

y - 7 = 5(x + 7).

help plzzzz I begg you ​

Answers

Answer:

1/2

Step-by-step explanation:

What is the equation for the line in slope-intercept form?

Enter your answer in the box.

Plz Help

Answers

Answer:

y=-4x+5 or -8/2x+5

Step-by-step explanation:

rise over run, to get the slope. when you do this you get rise is 8 because you count from one point to the other on the y axis and get 13-5=8. Then run is 2 do the same but for the x-axis and get 2-0=2. so you end up with 8/2 or 4 and since the line is going downwards its negative. The y intercept is 5 because that's where it intersects the y-axis. and the 5 is positive because it is a positive y, where the point of intersection is

True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times

Answers

Answer:

True

Step-by-step explanation:

No need for explanation

For the function, find f (−2), f (−0.5), and f (3).

f(x) = −5x + 2

Answers

Answer:

2

Step-by-step explanation:

becaue i siad so

a school newspaper pays $175 in set up fees and $2 per copy to print each issue What is the rate of change

Answers

Ok what are you asking like 175 divided by 2

The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?

a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000

Answers

Answer:

The standard error of the mean is 0.02

Step-by-step explanation:

Here, we want to calculate the standard error of the mean.

Mathematically;

standard error of mean = SD/ √n

where SD is the standard deviation and n is the number of samples

From the question, SD = 0.22 and n = 121

Inserting this into the equation

Standard error of the mean = 0.22/√121

= 0.22/11 = 0.02

The probability of obtaining a sample mean is "0.9545".

According to the question,

Mean,

[tex]\mu = 4[/tex]

Standard deviation,

[tex]\sigma = 0.22[/tex]

Random sample,

[tex]n = 121[/tex]

By Central limit theorem,

→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]

     [tex]= 0.2[/tex]

Now,

→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]

                               [tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]

                               [tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]

                               [tex]= 0.9545[/tex]

Thus the above response i.e., "option a" is appropriate.

Learn more:

https://brainly.com/question/16943601

In \triangle BCD,△BCD, \overline{DB}\cong \overline{CD} DB ≅ CD and \text{m}\angle C = 36^{\circ}.m∠C=36 ∘ . Find \text{m}\angle D.m∠D.

Answers

The measure of m∠D will be 36 degrees

What is a triangle?

A triangle is a shape with 3 sides and angles

For the △BCD, since the side DB ≅ CD, then the base angles will also be equal. This shows that the triangle is an isoscecles triangle.

For the given triangle m<C = m<D

Given that m∠C = 36 degrees, hence the measure of m∠D will be 36 degrees

Learn more on isosceles triangle here: https://brainly.com/question/1475130

If you help me I will give a brianlist

Answers

Answer:

4:6, 12:18

Step-by-step explanation:

i think this is correct

The low temperature for 5 days was -5° -7° -29.29 and -3°. What was the average low temperature for those
days

Answers

about -4° i think, i apologize if i’m incorrect, i haven’t done this in a while

Write a multiplication expression without exponents that is equivalent to 3^4

How many factors of 3 did you write?​

Answers

Answer:

Answer:  3⁴ =  3×3×3×3

3⁴ means multiply four threes together.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You just needed to Multiply maning the three, 4 times

2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 1
21 3
35 5

(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.

Answers

Answer:

Equation: y = ⅐x

Rate of change: ⅐

Distance = 10 miles

Step-by-step explanation:

Given

The information in the above table

Solving (a): The equation

To get the equation, we need to first calculate the slope (m)

Take any two corresponding values of x and y

(x1,y1) = (7,1)

(x2,y2) = (21,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(21 - 7)

m = 2/14

m = ⅐

The equation is calculated using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 1 = ⅐(x - 7)

y - 1 = ⅐x - 1

Add 1 to both sides

y = ⅐x

Solving (b) Rate of change:

The calculated slope in (a) above represents the rate of change.

So:

Rate of change = Slope = ⅐

Solving (c): Distance when time is 70 minutes

This implies that x = 70

Substitute 70 for x in y = ⅐x

y = ⅐ * 70

y = 10 miles

Mr. Butler is playing a game with the pictured spinner. He wins the amount of money shown if he spins green. He loses the amount
of money shown if he spins yellow. Is this a fair game? Explain why or why not.
A)
Yes; Mr. Butler has an equal chance of winning money or losing money,
B)
Yes; Mr. Butler is more likely to win money than lose money.
No; Mr. Butler is more likely to win money than lose money.
D)
No; the same number would need to be on every piece.

Answers

Answer: He is more likely to win more money than lose money, but he has a equal chance of winning/losing.

The answer is number B

Simplify 81^5 = 3^х x=

Answers

Answer:

The answer for the value of x is, x=20

Answer:

X = 20

Step-by-step explanation:

3^4 = 81

exponent 4 x 5 = 20

so 3^20 = 81^5

A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?

Answers

Answer:

3/8 grams

Step-by-step explanation:

1 tablet ⇒ 1/4 grams

Multiply the amount of tablets by 1/4 to find the answer

1 1/2 tablet ⇒ 1 1/2 *1/4 = 3/2 * 1/4 = 3/8 grams

A coin is tossed 7 times. What is the probability that the number of tails obtained will be between 5 and 7 inclusive?

Answers

Answer:

6/49

Step-by-step explanation:

a grocery store sells different types of trail mix as shown in the table below

Answers

Uhhh there isn’t a table

In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted.
A. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
B. What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal place.
C. What is the probability percentage that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to tywo decimal places.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Given:

[tex]\ Mean = 0.54 \times 555 \\[/tex]

           [tex]= 299.7[/tex]

[tex]SD = 11.74[/tex]

In point a:

[tex]\to Z = \frac{(338 - 299.7)}{11.74}[/tex]

       [tex]= \frac{(38.3)}{11.74}\\\\= 3.26[/tex]

[tex]\to P = 0.000557\\\\\to \% = 0.06 \%[/tex]

In point b:

[tex]\to Z = \frac{(285 - 299.7)}{11.74}[/tex]

       [tex]= \frac{(-14.7)}{11.74}\\\\= -1.25\\[/tex]

[tex]\to P = 0.8944\\\\\to \% = 89.44 \%[/tex]

In point c:

[tex]\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\[/tex]

       [tex]= \frac{(-33.3)}{11.74}\\\\= -2.83[/tex]

[tex]\to P = 0.002256\\\\\to \% = 0.23 \%[/tex]

Nancy was buying peaches to make a cobbler. She needed 4.5 pounds of peaches, and they are on sale for $1.60 per pound. How much will the peaches cost?​

Answers

Given:

Required quantity of peaches = 4.5 pounds

Cost of peach = $1.60 per pound.

To find:

The total cost of required peaches.

Solution:

We know that,

Total cost = Number of units × Cost per unit

Now,

[tex]\text{Total cost of peaches}=\text{Number of peaches}\times \text{Cost per peach}[/tex]

[tex]\text{Total cost of peaches}=4.5\times 1.60[/tex]

[tex]\text{Total cost of peaches}=7.20[/tex]

Therefore, the total cost of peaches is $7.20.

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