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
Oduvanchick [21]
3 years ago
13

A waterslide is 4.2 m high and has a support 2.4 m tall. If a student reaches this support when she is 3.1 m down the slide, how

long is the slide?

Mathematics
1 answer:
Lyrx [107]3 years ago
5 0
Refer to the diagram shown below.

The triangles ΔABC and ΔADE are similar because of AAA.
Therefore
\frac{AC}{AE} =  \frac{BC}{DE} \\\\
 \frac{x}{x+3.1}  =  \frac{2.4}{4.2} =  0.5714 \\\\ x = 0.5714(x+3.1)
0.4286x = 1.7713
x = 4.133 m

The length of the slide is x + 3.1 = 4.133 + 3.1 = 7.233 m

Answer: 7.2 m (nearest tenth)

You might be interested in
Ive been waiting hours for someone to answer this question. Is everyone an idiot.
stepan [7]

Answer:

D) x = -2/3 and x = 6

Step-by-step explanation:

4(x²−x+2)−(x+10)(x+2)           Distribute

(4)(x²) + (4)(−x) + (4)(2) + − x² + −12x + −20    Multiply

4x² + −4x + 8 + −x² + −12x + −20           Combine like terms            

(4x² + −x²) + (−4x + −12x) + (8 + −20)      Combine like terms

3x² −16x −12 = 0      

x = -2/3 and x = 6

I graphed the equation on the graph below.

If this answer is correct, please make me Brainliest!

7 0
3 years ago
What is the value of n? n–2=10n+4/2 n =
slamgirl [31]

simplify


n-2 = 10n/2 + 4/2


n-2 = 5n + 2


subtract 5n to both sides


n - 2 - 5n = 5n + 2 - 5n


simplify


-4n - 2 = 2


add 2 to both sides


-4n - 2 + 2 = 2 + 2


simplify


-4n = 4


divide both sides by -4


-4n/-4 = 4/-4


simplify


n = -1




                             hope it helps



8 0
3 years ago
1.What is the equation of the line perpendicular to  that passes through ? Write your answer in slope-intercept form. Show your
Juliette [100K]

Answer:

1. Use a compass to make arc marks which intersect above and below then connect.

2. y=\frac{1}{3}x + 2

Step-by-step explanation:

1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.

2. The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)  

Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.

(y-1)=\frac{1}{3}(x+3)  

Simplify for slope intercept form.

(y-1)=\frac{1}{3}(x+3)\\(y-1)=\frac{1}{3}x+1\\y=\frac{1}{3}x + 2


3 0
3 years ago
Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar
klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack

Where (from tables):

Z_{0.99}=2.33

Finally, the interval at 98% confidence level is:

CI(\mu)=\lbrack28.94,31.06\rbrack

4 0
1 year ago
Form the intersection for the following sets. E = {1, 2, 3} F = {101, 102, 103, 104} E ∩ F =
madam [21]
The intersection of two sets is a set that contains elements that are common to both sets.
There are no common elements in sets E and F, so the answer is the empty set.

<span>E ∩ F =  { }</span>
3 0
3 years ago
Other questions:
  • 2x-5=7<br> Find out what x is
    5·2 answers
  • HELP 500 POINTSS
    11·2 answers
  • What is 7/15 as a decimal
    11·1 answer
  • One circle has a circumference of 12π cm. Another circle has a circumference of 32π cm. What is the ratio of the radius of the s
    6·1 answer
  • What is the slope of the line in the graph? <br><br> -4/3<br> -3/4<br> 3/4<br> 4/3
    5·1 answer
  • Pls factorise x²-7x+12
    13·1 answer
  • ANSWER BOTH QUESTIONS
    9·1 answer
  • The circumscribing circle O and the inscribed circle of triangle ABC have the same center. Which of the following constructions
    8·2 answers
  • Can you please help me
    7·1 answer
  • Please help me
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!