Use a calculator to approximate cos 43° and round to
four decimal places.

Answer:

A. (x-4)(x-4)

Step-by-step explanation:

Note that (x+a)(x+b)=x²+(a+b)x+ab.

Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.

Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).

We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.

So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).

Answer: 9^(x-3) = 9^3

Step-by-step explanation:

Realizing that 729 = 9^3, we can rewrite the equation ...

9^(x -3) = 729

as ...

9^(x -3) = 9^3 . . . . . . matches the second selection

__

Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.

(3^2)^(x -3) = (3^2)^3

3^(2x-6) = 3^6

or, taking the square root, ...

3^(x -3) = 3^3

None of these forms match any answer choices.

_____

The solution will be found by matching exponents:

x -3 = 3

x = 6

Answer:

i think that the correct answer is 12 for the least common denominator

Answer:

4 root 10 is the first unit

Step-by-step explanation:

okey so step by step now

first put distace formula

then put values accordingly

you get,(12^2+4^2)keep in under root 2

[tex]\sqrt{160\\[/tex]

solve it ur answer is[tex]\sqrt[4]{10}[/tex]

Answer:

Triangle 2: 7, 24 and 25.

Step-by-step explanation:

To find the triangle with its dimensions being that of a right angle triangle;

We would have to apply Pythagorean' theorem.

Let the length of sides of the triangle be;

Opposite side = a

Adjacent side = b

Hypotenuse side = c

From Pythagorean theorem;

c² = a² + b²

When a = 7, b = 24 and c = 25

25² = 7² + 24²

625 = 49 + 576

625 = 625

This ultimately implies that, the square of the hypotenuse of a right angle triangle is equal to the sum of the square of its opposite and adjacent sides according to Pythagorean' theorem.

Answer:

Third one

Step-by-step explanation:

;b

Answer:

you did not post a question?

Step-by-step explanation:

Answer:

a. the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4

Step-by-step explanation:

See attached image.

Answer:

(a) and (e)

Step-by-step explanation:

Given

[tex]d = 14cm[/tex]

Required

Select the true statements

First, is a statement about the area.

The area is calculated as:

[tex]Area= \pi*\frac{d^2}{4}[/tex]

So, we have:

[tex]Area= 3.14*\frac{14^2}{4}[/tex]

[tex]Area= 3.14*49[/tex]

(a) is true

Next, is a statement about the circumference.

This is calculated as:

[tex]C = \pi d[/tex]

So, we have:

[tex]C = 3.14 * 14[/tex]

(e) is true

The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.

When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.

That is  when x1 < x2 then f(x1) ≥ f(x2)

Let F(x) = 4

Thus

f(4) = -(4)² + 4(4) -4

=  16 + 16 - 4

= 28

Now, let F(x) = 2

Thus

f(2) = -(2)² + 4(2) -4

= 4 + 8 - 4

= 8

Note that X1 = 4 and X2 = 2

Thus  x1 < x2 then f(x1) ≥ f(x2).

Hence Option C is the decreasing function.

Learn more about decreasing functions at;
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Answer:

Volume = 2880m²

Surface area = 1632m²

Step-by-step explanation:

The prism shown is a triangular prism

The volume of the prism can be found by multiplying the area of the base by the length of the prism

The base being a triangle.

The area of a triangle can be calculated by using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The base length of the particular triangle is 12 m and the height is 16

That being said we plug in the values into the formula

[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]

Hence the area of the base is 96 square meters

Finally we multiply the area of the base by the length of the prism ( which is 30 m )

So volume = 96 * 30

96 * 30 = 2880

Hence the volume of the triangular prism is 2880m²

Now to find the surface area

Kindly check the image below for information on the formula for surface area of a triangular prism

Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]

where b = base length

h = height of base

L = length of prism

S1 also = base

S2 = base height

S3 = slant height of base

The shown triangle has the following dimensions

b = 12

h = 16

L = 30

S1 = 12

S2 = 16

S3 = 20

Now that we have identified each dimension, we plug in the values into the formula

[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]

So we can conclude that the surface area of the triangular prism is 1632m²

Answer:    -3

-2x-6=0

-2x=6

x=-3

Step-by-step explanation:

To find how many times it will land on 3 in 10,00 spins you need to find 25% of 10,000 so 10,000 times .25 is the equation which is 2,500 so if I'm not mistaken the spinner should land on the third section 2,500/ times in 10,000 spins theoretically speaking, but if you have to find something close to it, its 2538 due to it being the closest.

Answer:

third one 2538

Step-by-step explanation:

Answer:

$5150

Step-by-step explanation:

1700+0.15(23000)

$5150

Answer:

X=3

Step-by-step explanation:

Since all the sides of a square are equal, hence;

5x-2 = x+10

Collect like terms

5x-x = 10+2

4x =12

X = 12/4

X =3

Hence the value of x is 3

Answer:

The answer to this question is:

A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]

The balance after 7 years will be $17409.

Let, P = the principle amount

r = the rate of interest, compounded monthly

t = the time period

Therefore, the amount will be

[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]

Given, the invested amount is $16000.

The rate of interest is 1.2%, compounded monthly.

Total duration of investment is 7 years.

Therefore, the model function of this compound interest is:

= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]

The amount will be

[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]

Therefore, after 7 years, the amount will be $17409.

Learn more about compound interest here: https://brainly.com/question/22739288

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Answer:

C. 2+2(0.4)

Step-by-step explanation:

on edg.

Answer:

d

Step-by-step explanation:

Answer:

It should be 4.25.

9514 1404 393

Answer:

  15.9 m

Step-by-step explanation:

The radius (18 m) and the slant height form one leg and the hypotenuse of the right triangle that has the cone height as the other leg. The Pythagorean theorem tells you the height (h) is ...

  18² + h² = 24²

  h = √(576 -324) = √252

  h ≈ 15.9 . . . . . meters

The height of the cone is about 15.9 meters.

Answer:

513

Step-by-step explanation:

B×L=Area

Base=24

Length =19

24×19=513

Answer:

The answer for this question is:

About 566 lemings

Step-by-step explanation:

Answer:

A.about 566

Step-by-step explanation: