In ΔRST, r = 530 cm, s = 530 cm and t=950 cm. Find the measure of ∠T to the nearest 10th of a degree.

The standard form of the polynomial is written as:

p(x) = 3*x^3 - 6*x^2 - 3x + 6

We know that a polynomial of degree N is with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:

p(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know that the leading coefficient is 3, and the zeros of the polynomial are {-1, 1, 2}

Then we can write:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

Now we need to expand that, we will get:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

p(x) = 3*(x^2 + 1*x + x*(-1) + 1*(-1))*(x - 2)

p(x) = 3*(x^2 - 1)*(x - 2)

p(x) = 3*(x^3 + x^2*(-2) - x + 2)

p(x) = 3*x^3 - 6*x^2 - 3x + 6

That is the polynomial in standard form.

Learn more about polynomials:

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Answer:

41.79 hours

Step-by-step explanation:

The Half-time Decay Formula: [tex]N=N_0(\frac{1}{2})^\frac{t}{d}[/tex]

Where [tex]N_0[/tex] is the original number, and t = time, and d = time it takes to half

18 would be d

100 would be [tex]N_0[/tex]

and 20 would be N

[tex]20=100(\frac{1}{2})^\frac{t}{18}[/tex]

[tex]0.2=(\frac{1}{2})^\frac{t}{18}[/tex]

[tex]log_\frac{1}{2}0.2=\frac{t}{18}[/tex]

[tex]18* log_\frac{1}{2}0.2=t[/tex]

[tex]18* \frac{log_{10}0.2}{log_{10}\frac{1}{2}}=t[/tex]

= 41.79470571

Answer:

24 inches

Step-by-step explanation:

We can find different sides of a right angle triangle using Pythagorean theorem: [tex]c^2 = a^2+b^2[/tex], where [tex]c[/tex] is the hypotenuse and [tex]a[/tex] and [tex]b[/tex] are the other sides.

Therefore, we can re-arrange the equation for one of the other sides.

[tex]c^2-b^2=a^2[/tex].

Since we know these two sides all we have to do is put them into the equation:

[tex](30)^2-(18)^2=a^2[/tex]

[tex]a^2 = 576\\a= 24[/tex]

Therefore, the missing side is 24 inches.

Answer:

41

Step-by-step explanation:

Started with 84

less               14

less.              29

=.                   41

Given:

The sum of 85 + w is less than or equal to 6 multiplied by y.

To find:

The inequality for the given situation.

Solution:

We know that,

The sum of 85 and w means "85+w".

Less than or equal means "≤".

6 multiplied by y means "6y".

So, the inequality for the statement "the sum of 85 + w is less than or equal to 6 multiplied by y", is:

[tex]85+w\leq 6y[/tex]

Therefore, the correct option is A.

Answer:

28

Step-by-step explanation:

Answer:

z=31°

Step-by-step explanation:

32°+117°+z=180°{ sum of angle of triangle}

z=180-149

z=31°

Answer:

31 degrees = x

Step-by-step explanation:

a triangle's sum is 180 degrees

let's form an equation that allows us to work backwards and find this

add the other two angle measures to x and let the sum be 180

32+117+x=180

31 is the difference and therefore the missing angle measure

Answer: tbh i think its the third one

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

First, write an equation to represent the situation.

34 = 2a + 12

This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.

Now just solve for a.

34 = 2a + 12

First, subtract 12 from both sides.

22 = 2a

Then divide both sides by 2.

11 = a

So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.

Answer:

7.1

Step-by-step explanation:

Once again we can use trig ratios to solve for ST

First we must recall the trig function

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

We are given the measure of an angle and the length of the hypotenuse

Of the given angle we need to find the adjacent side length

When working with the hypotenuse and adjacent we use trig function cosine

That being said we want to create an equation ( remember cos = adjacent over hypotenuse ) ( let ST = x)

[tex]cos(42)=\frac{x}{9.5}[/tex]

now we solve for x

Step 1 multiply each side by 9.5

[tex]cos(42)*9.5=9.5cos(42)=7.059875842\\\frac{x}{9.5} *9.5=x[/tex]

we're left with x = 7.059875842

Finally we round to the nearest tenth and get that the answer is 7.1

Answer:

= 24 x 31 days ( a month) =  744 people

Step-by-step explanation:

pls mark as brainliest :-)

Answer:

D

Step-by-step explanation:

4.091-2.174= 1.917

Answer:

1. R

2. K

3. (3,4)

4. (0,0)

Answer:

An enlarged left ventricle, one of the most serious types of enlarged heart, increases the risk of heart failure. In heart failure, your heart muscle weakens, and the ventricles stretch (dilate) to the point that the heart can't pump blood efficiently throughout your body.

Step-by-step explanation:

Answer:

increases the risk of heart failure

your heart muscle weakens

the heart can't pump blood efficiently throughout your body (low ejection fraction)

Type of diseases that enlarge heart: Cardiomyopathy, enlarged left ventricle

Step-by-step explanation:

Answer:

ask your mom or dad buddy

Step-by-step explanation:

Answer:

12 bags

Step-by-step explanation:

Answer:

Step-by-step explanation:

please make me Brianlist please

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

1/16

Step-by-step explanation:

hope u understand ☺️☺️

Answer: first answer

step-by-step explanation:

i got it right

Answer:

No.

Step-by-step explanation:

25x + 20y = 5x(5 + 4y)

Distribute the 5x inside the (5 + 4y).

5x * 5 = 25x

5x * 4y = 20xy

25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.

Answer:

1st: not

2nd: not

3rd: slope-intercept

4th: slope-intercept

Answer:

Read Below

Step-by-step explanation:

1) Slope Intercept

2) Slope Intercept

3) Not Slope Intercept

4) Not Slope Intercept

Answer:

Yes

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

5 x 1/5 =

5/1 x 1/5 = 5/5 = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: the answer is C.

Answer:

b

Step-by-step explanation:

I dunno how to explain bdjwnfjrndisnf

Answer:

First problem: sorry I dont know.

Second problem: C. 384 square inches

Third Problem: B. 215 cm2

Fourth Problem: C. 60 cubic units

Hope this helps!

Answer:

Your right 1/6

Step-by-step explanation:

Answer: yep it’s 1/6

Step-by-step explanation: