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Gnom [1K]
2 years ago
14

George wanted to measure the angle of a water slide at the lake. He used a sheet of folded paper that formed a 20° angle. He mea

sured and found that three of the folded paper angles would fit in the angle made by the slide and the ground.
Which of the following was the angle of the water slide?
Mathematics
1 answer:
sveta [45]2 years ago
5 0

The angle of the water slide is 60 degrees.

The equation that models his work is 3 × 20 = 60 degrees.

<h3>How to find the sum of angles of a figure/object?</h3>

He wants to measure the angle of a water slide at the lake.

He used a sheet of folded paper that formed 20 degrees to measure the angle of the the water slide at the lake.

He noticed three folded paper angle fits in the angle made by the slide and the ground.

Since each angle is equals to 20 degrees, and the three fits into the angle made by the slide and the ground, the angle of the water slide is as follows:

20 × 3 = 60 degrees

learn more on angles here: brainly.com/question/16746032

You might be interested in
what is the smallest positive integer a such that the intermediate value theorem guarantees a zero exists between 0 and a?
liberstina [14]

The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

What is the intermediate value theorem?

Intermediate value theorem is theorem about all possible y-value in between two known y-value.

x-intercepts

-x^2 + x + 2 = 0

x^2 - x - 2 = 0

(x + 1)(x - 2) = 0

x = -1, x = 2

y intercepts

f(0) = -x^2 + x + 2

f(0) = -0^2 + 0 + 2

f(0) = 2

(Graph attached)

From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3

For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.

<em>Your question is not complete, but most probably your full questions was</em>

<em>Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?</em>

Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

Learn more about intermediate value theorem here:

brainly.com/question/28048895

#SPJ4

4 0
1 year ago
Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If
MrRissso [65]

Answer:

24 miles UwU

Step-by-step explanation: G'day mate!

3 0
2 years ago
Decrease 800 by 40% and give me the answer
Kobotan [32]
Since we are decreasing by 40%

The new value would be 100% - 40% = 60%  of the value

New value =  60% of 800

                   =  (60 / 100) * 800 = 480

Am giving you 480 as the answer.
6 0
3 years ago
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.1 parts
satela [25.4K]

Answer:

t=\frac{6.6-7.1}{\frac{1.0}{\sqrt{26}}}=-2.550    

Step-by-step explanation:

Data given and notation  

\bar X=6.6 represent the sample mean

s=1.0 represent the sample standard deviation

n=26 sample size  

\mu_o =7.1 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 7.1 ppm, the system of hypothesis would be:  

Null hypothesis:\mu = 7.1  

Alternative hypothesis:\mu \neq 7.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{6.6-7.1}{\frac{1.0}{\sqrt{26}}}=-2.550    

5 0
3 years ago
The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x – 60. The cost, in dollars,
klasskru [66]
Hello,

P(x)=3x²+4x-60-(3x²-x+200)=5x-260

Answer C
3 0
3 years ago
Read 2 more answers
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