Answer:
cos 37=x/b (second one)
sin 37= a/b (third one)
tan 37=a/x (sixth one)
Step-by-step explanation:
Cos is defined by the adjacent side over the hypotenuse. Cos 37 would be x/b. Clearly, that is option 2. Sin is defined by opposite over hypotenuse. Sin 37 would be a/b. That is the 3rd option. Tan is defined by opposite over adjacent. Tan 37 would be a/x or the 6th option.
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
Answer:
The mean of this distribution is approximately 3.96.
Step-by-step explanation:
Here's how to solve this problem using a normal distribution table.
Let
be the
.
In this question,
and
. The equation becomes
.
To solve for
, the mean of this distribution, the only thing that needs to be found is the value of
. Since
The problem stated that
. Hence,
.
The problem is that the normal distribution tables list only the value of
for
. To estimate
from
, it would be necessary to find the appropriate
Since
and is greater than
,
. As a result,
can be written as the sum of
and
. Besides,
. As a result:
.
Therefore:
.
Lookup
on a normal distribution table. The corresponding
-score is
. (In other words,
.)
Given that
Solve the equation
for the mean,
:
.
.
The question "What is the LCM and GCF of 36 and 81?" can be split into two questions: "What is the LCM of 36 and 81?" and "What is the GCF of 36 and 81?"
In the question "What is the LCM and GCF of 36 and 81?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.
To find the LCM, we first list the multiples of 36 and 81 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 36 and 81:
Multiples of 36: 36, 72, 108, 144, 180, 216, etc.
Multiples of 81: 81, 162, 243, 324, 405, 486, etc.
The least multiple on the two lists that they have in common is the LCM of 36 and 81. Therefore, the LCM of 36 and 81 is 324.
Answer:
She would be paying $2,622 total.
Step-by-step explanation:
1. To get how much she'd be paying for 24 months, all you have to do is multiply 24 times 95.
2. To get the down payment you had to ask yourself what's 15% of 2,280. 15% of 2280 is 342.
3. Add those together and you'd get the total payment.
Simple.
Oh and gimme Brainliest if it's correct.