How do i find the perimeter of the triangle with vertices at three points (0,1),(2,1), and (0,3)?

Answers

Answer 1

Answer: The perimeter is the sum of the lengths of the three sides.

To find the perimeter, you need to find the lengths of the three sides.

For each side, you are given the points at the two ends.You need to find the distance between those two points.

Once you have all thee distances, add them up.

That's how.

Answer 2

Answer: Well I'm not just going to tell you the answer, you need to "experience" how you do it. Basically you use the distance formula, which I'll show you in a bit, to fine the length of the segments. Then you just add them up.
$\sqrt{ (x_(2)- x_(1)) ^(2) +(y_(2)-y_(1))^(2)$

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20 POINTS FOR 3 QUESTIONS!!!!Given: ∆ABC, AB = BC, m∠1<90°

Perimeter of ∆ABC = 25

Difference between the two sides is 4

Find: AB, BC, AC

List the sides of ΔRST in in ascending order (shortest to longest) if:

m∠R = 3x+42°, m∠S = 4x−11°, and m∠T = x+13°

List the sides of ΔRST in in ascending order (shortest to longest) if:

m∠R = 2x+11°, m∠S = 3x+23°, and m∠T = x+42°

Answers

Answer with Step-by-step explanation:

1.In triangle ABC

AB=BC

Let AB=BC=x and AC=y

Perimeter of triangle ABC=25

$x+x+y=25$

$2x+y=25$ ...(1)

$x-y=4$ ...(2)

Adding equation (1) and (2)

$3x=29$

$x=(29)/(3)=9.67$

Substitute x=9.67 in equation (2)

$9.67-y=4$

$y=9.67-4=5.67$

$AB=BC=9.67$

$AC=5.67$

2. $m\angle R=2x+11$

$m\angle S=3x+23$

$m\angle T=x+42$

$m\angle R+m\angle S+m\angle T=180^(\circ)$

By using triangle angle sum property

Substitute the values then we get

$3x+42+4x-11+x+13=180$

$8x+44=180$

$8x=180-44=136$

$x=(136)/(8)=17$

Substitute the value

$m\angle R=3(17)+42=93^(\circ)$

$m\angle S=4(17)-11=57^(\circ)$

$m\angle T=17+13=30^(\circ)$

$m\angle R>m\angle S$

$m\angle S>m\angle T$

$ST>RT$ (Side ST is opposite to angle R, Side RT is opposite to angle S

$RT>RS$ (side RS is opposite to angle T)

When a>b

Then , opposite side of a> opposite side of b

RS<RT<ST

3. $m\angle R=2x+11$

$m\angle S=3x+23$

$\angle T=x+42$

$m\angle R+m\angle S+m\angle T=180^(\circ)$

By using triangle angle sum property

Substitute the values then we get

$2x+11+3x+23+x+42=180$

$6x+76=180$

$6x=180-76$

$6x=104$

$x=(104)/(6)=17.3$

Substitute the value

$m\angle R=2(17.3)+11=45.6$

$m\angle S=3(17.3)+23=74.9$

$m\angle T=17.3=42=59.3$

$m\angle S>m\angle T$

$m\angle T>m\angle R$

RT>RS

RS>ST

ST<RS<RT

Some one plz help!!! due in 10 min

Answers

Step-by-step explanation:

since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get

f(x) = x²/9 × c

c = m×e^n

f(1) = 1/9 × m×e^n = 5

=> m×e^n = 45

f(3) = 9/9 × m×e^n = 45

m = 45

n = 0

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?15h+9<110

15h+9>110

9h+15<110

9h+15>110

Answers

Let h = number of hours she worked on Monday
Given that she makes $9 per hour, it is 9 x h or 9h.
If her tips is a fixed $15 amount, then we simply add 15.
9h + 15
This expression above is the amount she made last Monday.
Since she made no less than $110, meaning she made more than $110 last monday.
The final inequality is: 9h + 15 > 110.

Answer:

Let h = number of hours she worked on Monday

Given that she makes $9 per hour, it is 9 x h or 9h.

If her tips is a fixed $15 amount, then we simply add 15.

9h + 15

This expression above is the amount she made last Monday.

Since she made no less than $110, meaning she made more than $110 last monday.

The final inequality is: 9h + 15 > 110.

Step-by-step explanation:

A 10 meter long wire is attached to the top of a flagpole 5√3 meters long. What is the measure of the angle the wire makes with the ground?A. 25 degrees
B. 45 degrees
C. 60 degrees
D. 90 degrees

Answers

Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.

Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.

Answer is C

Solve the compound inequality. Graph the solution
-2 ≤ 2x – 4 < 4

Answers

$-2 \ \textless \ = 2x - 4 \ \textless \ 4$

$-2+4\ \textless \ 2x\ \textless \ 4+4$ $Add \ 4 \ to \ the \ whole \ equation$

$2\ \textless \ 2x\ \textless \ 8$ $Simplify \ inequality$

$1\ \textless \ x\ \textless \ (8)/(2)$ $Divide \ the \ whole \ equation \ by \ 2$

$1\ \textless \ x\ \textless \ 4$ $= (1,4)$

Usan enlarged a rectangle with a height of 4 cm and length of 11 cm on her computer. the length of the new rectangle is 16.5 cm. find the height of the new rectangle.

Answers

You need only set up a proportion.

11 cm/16.5 cm = 4 cm / x Cross multiply

11x = 16.5 * 4

11x = 66 ' Divide by 11

x = 66/11

x = 6

The expanded height is 6 cm Answer

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Malia solved an equation, as shown below:Step 1: 6x = 48 Step 2: x = 48 – 6 Step 3: x = 42 Part A: Is Malia's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. Part B: How many solutions will this equation have?

How do i find the slope of a line that passes through a given point and is parallel or perpendicular to another given point?

1. Simplify (4xy^2)^3(xy)^5 . 2. Simplify (2t^–3)^3(0.4r)^2

-6 + (-5) + 74-4-1818