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11Alexandr11 [23.1K]
3 years ago
15

During a sale, Betty found swing sets on sale for $145 that had previously cost $500. What is

Mathematics
1 answer:
kow [346]3 years ago
3 0

Answer:

29%

Step-by-step explanation:

\frac{145}{500} = \frac{x}{100} \\\\

500/5 = 100

145/5 = <u>29</u>

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Verify cos(180+x)=-cosx<br> Please note the 180 is in degrees.
inna [77]
The angle sum identity for cosine says that

\cos(180^\circ+x)=\cos180^\circ\cos x-\sin180^\circ\sin x=-\cos x

because \cos180^\circ=-1 and \sin180^\circ=0.
5 0
3 years ago
Prove that the max and min values of asinX + bcosX are respectively sqrt.(a^2+b^2) and -sqrt(a^2+b^2) .
strojnjashka [21]
The solution to the problem is as follows:
let y = asinx + bcosx 
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>

<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
6 0
3 years ago
FOR BRAINLIEST<br> Express 0.64 as a fraction in lowest terms.<br> 5/32<br> 64/10<br> 16/25<br> 4/5
Nadusha1986 [10]

Answer:In its decimal form, it says  ' 64 / 100 '.

In order to change it to its lowest terms, we look to see whether the

numerator and denominator have a common factor greater than ' 1 '.

If they do, then we can divide numerator and denominator by their

common factor, and have the same fraction in lower terms.

The common factors of  64  and  100  are  1,  2, and  4 .

We could divide top and bottom by 2, but that wouldn't finish the job.

It's always best to divide them by their greatest common factor, and

once you do that, you're done.

Dividing the numerator and denominator both by  4,

we get the fraction in its lowest terms:

        0.64  =  64/100  =  16/25

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.
Arada [10]
I believe the given should be written as,
                         (8.6 x 10^8) ÷ (3.2 x 10^3)
By directly solving the expression, we obtain an answer of 
                                       268750
Which can also be written as 2.6875 x 10^5. Thus, the answer to this item is letter B. 
6 0
4 years ago
Read 2 more answers
I need help on both of these please///:(
SCORPION-xisa [38]

14. The distance between the two points is 14.866.

Distance can be calculated with the following formula:

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(12-2)²+(5-(-6))²

d=√10²+11²

d=√100+121

d=√221

d=14.866

15. The distance between the two points is 20.248.

Use the same formula to find the distance.

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(4-(-3))²+(12-(-7))²

d=√7²+19²

d=√49+361

d=√410

d=20.248

4 0
4 years ago
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