1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ale4655 [162]
2 years ago
13

Calculate AC to 1 decimal place ?

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0

Step-by-step explanation:

first we need to find the length of CD, so that we can use Pythagoras to find AC.

to get CD we use again Pythagoras. there is a smaller right-angled triangle on top of the BCD rectangle.

so, AD = 11 = 4 + 7

7 = the vertical leg of the upper right-angled triangle.

the horizontal leg is congruent to CD and is

sqrt(16² - 7²) = sqrt(256 - 49) = sqrt(207).

AC² = sqrt(207)² + 11² = 207 + 121 = 328

AC = sqrt(328) = 18.11077028... cm ≈ 18.1 cm

You might be interested in
Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25
ioda

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

7 0
3 years ago
Deyonne made 25% more cookies than Cameron. they sold the cookies for $0.50 each. let represent the number of cookies Cameron ma
Jet001 [13]

Answer:

I think that the answers are B, E, and F.

Step-by-step explanation:

Don't rate me if they are wrong.

5 0
3 years ago
Help meh_________________<br><br><br><br>​
professor190 [17]

Answer:

binomial

Step-by-step explanation:

8 0
3 years ago
The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m
SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

a=y'-b*x'\\a=68.5-0.54*64.5\\a=33.67

The equation regression line then is:

Y'=33.67+0.54*X'

4 0
3 years ago
[(12-5). 12] ÷16=?<br>can I please get some help on this? It would be greatly appreciated
lina2011 [118]

i believe it would be 5.25

12-5=7

7*12=84

84/ 16 = 5.25

i hope this helps

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the measure of the indicated angle to the nearest degree.
    9·1 answer
  • Evaluate the expressions below for the given values. a. -4d + 3 if d = -1 b. k - m if k = 4 and m = -10​
    12·1 answer
  • Brian flips a fair coin 3 times. What is the probability of getting exactly 2 tails?
    8·2 answers
  • Determine the number of months for which the total cost of the systems will be equal. Estimate your answer to the nearest whole
    15·1 answer
  • Point V lies between points U and W on Line segment U W.
    14·2 answers
  • Can side lengths 6 , 8 and 10 forms a right triangle .
    7·1 answer
  • ABCD is a rectangle. Find the m angle ACD.
    15·1 answer
  • Can i have help with these two questions. Im not sure where i went wrong
    12·1 answer
  • The length of a diagonal of a square is 72cm. find the length of the sides of the square​
    13·1 answer
  • Name each angle in four ways.<br><br> Please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!