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TiliK225 [7]
3 years ago
12

To the nearest tenth of a degree, find the sizes of the acute angles in the 7-24-25 right

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0
First of all, just to avoid being snookered by a trick question, we should verify that these are really right triangles:

7² + 24² really is 25² , and 8² + 15² really is 17² , so we're OK there.

In the first one:
sin(one acute angle) = 7/25 = 0.28
the angle = sin⁻¹ (0.28)  =  16.26°
the other acute angle = (90° - 16.26°)  = 73.74° 

In the second one:
sin(one acute angle) = 8/17 = 0.4706...
the angle = sin⁻¹  (0.4706...)  =  28.07°
the other acute angle =  (90° - 28.07°) = 61.93°


I'm sorry, but just now, I don't know how to do the 
third triangle in the question.
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The number of potato chips in a bag is normally distributed with a mean of 75 and a standard deviantion of 5. Approximately what
ladessa [460]

The percentage of bags contain between 65 and 85 potato chips is 95%.

<u>Step-by-step explanation:</u>

A probability distribution that is symmetric and the data near the mean are more frequent than far is known as a normal distribution. Normal distributions are important in statistics and are often used to represent real-valued random variables.

The formula for finding the percentage of bags using normally distributed is given as

f(x) = (1 / sigma * square root 2 *pi) * e^((-1/2)*((x-u)/sigma))

Substituting the values of mean and standard deviation,

The percentage of bags contain between 65 and 85 potato chips is 95%.

4 0
3 years ago
A dealer decides to sell an antique card by means of an English auction with a reservation price of $200. There are two bidders.
Vinvika [58]

Answer:

Expected revenue = $400

Step-by-step explanation:

Expected revenue is given by the formula;

Expected revenue = Sum of x * p(x)

x = 200

x = 600

p(x) = 1/2

p(x) = 1/2

Substituting, we have;

Expected revenue = 200*1/2 + 600*1/2

                               = 100 + 300

                                = $400

Therefore, expected revenue = $400

6 0
3 years ago
Jane's salary is increased by 2% to £39474. how much is her salary before the rise?
iVinArrow [24]
Let her salary before the rise = x pounds then
x + 0.02x = 39474
1.02x = 39474
x = 39474 / 1.02 =  £38,700  answer
4 0
2 years ago
A Conjuncture and the paragraph proof used to prove the conjecture are shown
Finger [1]

Answer:

Given

This is our initial premise.

2) Linear pairs of angles are supplementary

This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.

3)  

m

∠

A

B

C

+

m

∠

C

B

D

=

180

∘

The definition of supplementary angles is that two angles are supplementary if their measures sum to  

180

∘

.

4) Substitution of 1. into 3.

As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.

5)  

m

∠

A

B

C

=

90

∘

Subtracting  

90

∘

from each side of 4. gives us the above result.

6) Definition of right angle

Step-by-step explanation:

3 0
3 years ago
Turn 0.96 into a fraction
bagirrra123 [75]

Answer:

24/25

Step-by-step explanation:


.96  

the last digit is in the hundredths place so put it over 100

96/100

now we simplify

divide top and bottom by 4

24/25


3 0
2 years ago
Read 2 more answers
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