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egoroff_w [7]
3 years ago
7

Sam wants to install a zip line across a ravine. One side is of the ravine is 45 feet tall while the other side is 65 feet. If t

he ravine is 21 feet wide how long must the zip line be?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0
The difference of the heights is 65-45=20 feet, and the length of the ravine is 21 feet.  By the Pythagorean Theorem, the length of the zipline is sqrt(20^2+21^2)=sqrt(841)=29.
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The stemplot below represents the number of bite-size snacks grabbed by 32 students in an activity for a statistics class. A ste
Karolina [17]

The percentage of this number of snacks grabbed that is greater than 29, as represented by the stem plot is calculated as: A. 16%.

<h3>How to Solve a Stem Plot?</h3>

In a stem plot, each data point is represented as a stem and a leaf, for example, 42 is represented as 4 | 2 on the stem plot.

Given the stem plot for the data of the number of bite-size snacks grabbed by 32 students, the number of snacks grabbed that is greater than 29 are: 32, 32, 34, 38, and 42.

This is 5 out of the total number of the students, which is 32.

Thus, the percentage of this number of snacks grabbed that is greater than 29 would be calculated as:

5/32 × 100 = (5 × 100)/32

= 500/32

= 15.625%

Approximated to the nearest tenth, we would have 16%.

Therefore, the percentage of this number of snacks grabbed that is greater than 29, as represented by the stem plot is: A. 16%.

Learn more about the stem plot on:

brainly.com/question/8649311

#SPJ1

6 0
1 year ago
I need help with number 17
Minchanka [31]
The answer is D complete the square
8 0
3 years ago
To solve y and x, I am adding a picture
Viktor [21]

Answer:

x =\sqrt 5

y = \sqrt{5

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

\cos(45) = \frac{y}{\sqrt{10}} --- cosine formula i.e. adj/hyp

Solve for y

y = \sqrt{10} * \cos(45)

In radical form, we have:

y = \sqrt{10} * \frac{1}{\sqrt 2}

y = \sqrt{10/2}

y = \sqrt{5

To solve for x, we make use of Pythagoras theorem

x^2 + y^2 = (\sqrt{10})^2

x^2 + y^2 =10

Substitute for y

x^2 + (\sqrt 5)^2 =10

x^2 + 5 =10

Collect like terms

x^2  =10-5

x^2=   5

Solve for x

x =\sqrt 5

4 0
3 years ago
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the
8_murik_8 [283]
In a 45-45-90 triangle, both of the legs have the same length and the ratio of one leg to the hypotenuse is 1:sqrt(2).
7 0
2 years ago
N-9 = 13<br> ------------------
Vera_Pavlovna [14]

Answer:

n-9=13

n=22

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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