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1 year ago

ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?

Mathematics

1 answer:

Effectus [21]1 year ago

6 0

From the Law of Cosines
Cos (C) = (a^2 + b^2 -c^2) / 2 * a * b
Cos (C) =(40^2 + 41^2 -9^2) / 2 * 40 * 41
Cos (C) = 1,600 + 1,681 - 81 / 3,280
Cos (C) = 3,200 / 3,280
Cos (C) = <span> <span> <span> 0.9756097561 </span> </span> </span>
Incidentally, Angle C = 12.68 Degrees

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Look at picture, answer quick please

Tpy6a [65]

Step-by-step explanation:

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2. D = it started out slow and gradually got higher, which is what the story said

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1 year ago

2-8<br> Examine the function h(x) defined at right. Then estimate the values Below.

Arada [10]

We are given graph of the function.

Let us do given parts one by one.

a) h(1).

Here, we need to find the value of function (y-coordinate) for x=1.

From the given graph, we can see the for x=1 value of y is 2.

Therefore, h(1)=2.

b) h(3).

Here, we need to find the value of function (y-coordinate) for x=3.

From the given graph, we can see the for x=3 value of y is -4.

Therefore, h(3)=-4.

c) x when h(x) =0.

Here, we need to find the value of x-coordinate for y=0.

From the given graph, we can see the for y=0 value of x is also 0.

Therefore, x=0 when h(x)=0.

d) h(-1).

Here, we need to find the value of function (y-coordinate) for x=-1.

From the given graph, we can see the for x=-1 value of y is -2.

Therefore, h(-1)=-2.

e) h(-4).

Here, we need to find the value of function (y-coordinate) for x=-4.

From the given graph, we can see the for x=-4 value of y is 13.

Therefore, h(-4)=13.

5 0

1 year ago

What is the factored form of a2 – 121?

Flura [38]

Answer:

The factored form $a^2-121$ is $(a+11)(a-11)$ .

Step-by-step explanation:

Given : $a^2-121$

We have to write the given expression in factored form.

Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression

Consider the given expression $a^2-121$ .

We know the algebraic identity $x^2-y^2=(x+y)(x-y)$

Here $a^2-121=a^2-(11)^2$ .

Comparing with identity stated above , we have x= a , b = 11 , thus, we get

$a^2-(11)^2=(a+11)(a-11)$ .

Thus, the factored form $a^2-121$ is $(a+11)(a-11)$ .

7 0

2 years ago

If the point (4,-1) is a point on the graph of f then f

AlekseyPX

If the point (4,-1) is a point on the graph of y = f(x). The corresponding point on the graph of y = g(x) is: (4,-1/2), (2,-1), (-1,-1), (1,4), (4,-4), (-12,1)

$g(x) = \frac{1}{2} f(x)$ => (4,-1/2)
$g(x) = f(x-2)$ => (2,-1)
$g(x) = f(-x)$ => (-1,-1)
$g(x) = f(4x)$ => (1,4)
$g(x) = 4f(x)$ => (4,-4)
$g(x) = -f(x)$ => (-12,1)

<h3>Further explanation </h3>

Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (-1) and divide it by 2 to get 2. Therefore, the new point is (4,-1/2)
Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (4) to get 2. Therefore, the new point is (2,-1)
Making the input of the function negative will multiply every x-value by 1. To get the new point, we will take the x-value (4) and multiply it by -1 to get. Therefore, the new point is (-1,-1)
Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (4) by 4 to get 1. Therefore, the new point is (1,4)
Multiplying the whole function by 4 increases all y-values by a factor of 4 , so the new y-value will be 4 times the original value (4) or -4. Therefore, the new point is (4,-4)
Multiplying the whole function by -1 also multiplies every y-value by -1, so the new y-value will be -1 times the original value (-1). or 1. Therefore, the new point is (-12,1)

<h3>Learn more</h3>

Learn more about corresponding point brainly.com/question/10218370
Learn more about point on the graph brainly.com/question/11297347
Learn more about the graph brainly.com/question/11534295

<h3>Answer details</h3>

Grade: 9

Subject: mathematics

Chapter: corresponding point

Keywords: corresponding point, the graph, point on the graph

3 0

2 years ago

Read 2 more answers

Amala listed her assets and liabilities. Credit Card Balance Car (Paid in full) Jewelry Student Loan Savings Account Stocks $850

MakcuM [25]

Answer:

Total of Amala’s liabilities is $5500 .

Step-by-step explanation:

Liabilities is defined as the sums of money which it owes .

As given

Amala listed her assets and liabilities. Credit Card Balance Car (Paid in full) Jewelry Student Loan Savings Account Stocks $850 $2,200 $125 $2,500 $1,200 $1,500 .

As Credit card balance , car (Paid in full) and student loan are Amala liabilities .

Thus

Total amount of Amala’s liabilities = Credit card balance + car + student loan .

Putting all the values in the above

Total amount of Amala’s liabilities = 850 + 2200 + 2500

= $5500

Therefore the total of Amala’s liabilities is $5500 .

4 0

2 years ago

Read 2 more answers