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ahrayia [7]
3 years ago
8

Solve. And Explain. r/9 = -4

Mathematics
2 answers:
Bezzdna [24]3 years ago
4 0

Answer:

Step-by-step explanation:

r/9 = -4

then multiply 9 to -4 which equals -36

at last, r is equal to -36

rodikova [14]3 years ago
3 0

So you need to have the variables on one side and the constants on another.

Since r is divided by 9 on the left side, you have to get rid of the 9 by multiplying. r/9 times 9 equals r, and -4 times 9 equals -36.

So r = -36

Hope this helped!

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On a map, 90 miles is represented by 3 inches.
zepelin [54]
Hello!

3 inches equals 90 miles

We have to find what multiplied by 3 is 1/2

we can do 3 / 1/2 to find this

3 / 0.5 = 6

So they divide it by 6

We do 90/6

90/6 = 15

The answer is 15

Hope this helps!
7 0
4 years ago
Which of the following in an identity?
sammy [17]
By "which is an identity" they just mean "which trigonometric equation is true?"

What you have to do is take one of these and sort it out to an identity you know is true, or...

*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5    cscx = 5/3
cosx = 4/5   secx = 5/4
tanx = 4/3    cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!

Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.

Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)

Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 +  3/4)².

By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
5 0
3 years ago
X−117+120 Simplify the expression
Sophie [7]

Answer:

Step-by-step explanation:

x-117+120

x+3

6 0
3 years ago
Mr. Bennet owns 4 restaurants. The mean number of tables is 30. What could happen to the mean if he buys two new restaurants, on
wariber [46]

Answer:

Final mean value = 24.

Mean value decreased by 6 finally.

Step-by-step explanation:

Total number of restaurant initially = 4

Mean number of tables in restaurants = 30

So, total number of tables in restaurants = 4×30 = 120

Now,

He buys 2 new restaurants with 15 tables and 9 tables .

So, final number of tables = 120 + 15 + 9 = 144.

And, final number of restaurants = 4 initially + 2 newly added = 6 restaurants.

Thus , final mean value of tables in restaurants = \frac{144}{6} = 24.

Thus , mean value decreased by 6 finally

8 0
3 years ago
In 10^3(exponent), 10 is the base, and 3 is the exponent. That means 10 will appear as a factor 3 times: 10 · 10 · 10. 10^3(expo
ira [324]
C. 7 2^7 makes 2 appear 7 times
8 0
3 years ago
Read 2 more answers
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