If entering your answer as a decimal, round your final answer to the nearest hundredth.
Find the perimeter of rectangle LINT.

Answers

Answer 1

Answer:

[tex]P = 22.75[/tex]

Step-by-step explanation:

Given:

See attachment for rectangle LINT

Required

Calculate its perimeter

From the attachment:

Considering triangle LYT, we apply Pythagoras theorem.

[tex]LT^2 = LY^2 + TY^2[/tex]

Where:

[tex]LY = 5.2[/tex]

[tex]TY = 3.9[/tex]

The formula becomes:

[tex]LT^2 = 5.2^2 + 3.9^2[/tex]

[tex]LT^2 = 42.25[/tex]

Take positive square root of both sides

[tex]LT = \sqrt{42.25[/tex]

[tex]LT = 6.5[/tex]

Next, we calculate the length of NT.

By comparing triangles LYT and NYT

We make use of the following equivalent ratios to solve for NT

[tex]NT:TY = LT:LY[/tex]

[tex]NT : 3.9 = 6.5 : 5.2[/tex]

Convert to fractions

[tex]\frac{NT}{3.9} = \frac{6.5}{5.2}[/tex]

Make NT, the subject:

[tex]NT = \frac{6.5}{5.2}*3.9[/tex]

[tex]NT = \frac{6.5*3.9}{5.2}[/tex]

[tex]NT = \frac{25.35}{5.2}[/tex]

[tex]NT = 4.875[/tex]

The perimeter (P) is then calculated as:

[tex]P = NT + LT + LI + NI[/tex]

Where

[tex]NT = LI[/tex] and [tex]LT = NI[/tex] -- opposite sides of rectangle.

So:

[tex]P = NT + NT + LT + LT[/tex]

[tex]P = 2NT + 2LT[/tex]

Substitute values for NT and LT

[tex]P = 2*4.875 + 2*6.5[/tex]

[tex]P = 9.75 + 13.0[/tex]

[tex]P = 22.75[/tex]

Hence, the perimeter is 22.75 units

If Entering Your Answer As A Decimal, Round Your Final Answer To The Nearest Hundredth.Find The Perimeter

Related Questions

Determine a series of transformations that would map Figure N onto Figure O

Answers

Answer:

Reflect over x-axis. Then translate up 5 units.

Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x

Answers

x4)-(2•(x3)))-32x2)+18x
STEP
2
:

Equation at the end of step
2
:

(((x4) - 2x3) - 32x2) + 18x
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

x4 - 2x3 - 9x2 + 18x =

x • (x3 - 2x2 - 9x + 18)

Checking for a perfect cube :

4.2 x3 - 2x2 - 9x + 18 is not a perfect cube

Trying to factor by pulling out :

4.3 Factoring: x3 - 2x2 - 9x + 18

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -9x + 18
Group 2: x3 - 2x2

Pull out from each group separately :

Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization

Trying to factor as a Difference of Squares:

4.4 Factoring: x2 - 9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3
Check : x2 is the square of x1

Factorization is : (x + 3) • (x - 3)

Final result :
x • (x + 3) • (x - 3) • (x - 2)

-10(d+1)=-14
What is the value of d

Answers

Answer:

[tex]d=\frac{2}{5}[/tex]

Step-by-step explanation:

-10 (d+1) = -14

-10d -10 = -14

-10d = -14 + 10

-10d = -4

d = 4/10

d= 2/5

D=2/5

Decimal form : d= 0.4

what is value of x for which the equation 9^-6 x 9^x = 1

Answers

X=6 I hope this helps you out

Answer:

x=6

Step-by-step explanation:

9^-6*9^x=1

(x-6)In(9)=In(1)

Awnser

x=6

The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.

Answers

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x.

The length of a rectangle is 3 times as big as the width. Length = 3x

New width = x + 4

New length = 3x + 4

The new area will be:

a = (3x + 4)(x + 4)

a = 3x² + 12x + 4x + 16

a = 3x² + 16x + 16

Angles A and Care supplementary. Find the measure of angle C.
There is a picture

Answers

Answer:

106 degrees

Step-by-step explanation:

180 -74 = 106

The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.

What are supplementary angles?

Two angles are said to be supplementary angles when they add up to 180 degrees.

Two angles are supplementary, if

a). one of its angle is an acute angle and another angle is an obtuse angle.

b). both of the angles are right angles.

This means that if A and B are the two angles then

[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees

According to the given question we have

angles A and C are supplementary

and, [tex]m[/tex]∠A = 74 degrees

therefore,

the measure of angle C is calculated as

[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees        (sum of the supplementary angles)

74 + [tex]m[/tex]∠C = 180 degrees            ( [tex]m[/tex]∠A = 74 )

[tex]m[/tex]∠C = (180 - 74)degrees            ( subtracting 74 degrees both the sides)

[tex]m[/tex]∠C = 106 degrees

Hence,  second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.

Learn more about the supplementary angles here:

https://brainly.in/question/1288078

#SPJ2

ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =

Answers

Answer:

-38

Step-by-step explanation:

Explain the meaning of F(30) = 8,950 in this situation

Answers

Answer:

when you have something like f(x)=... that means

f means function

and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2

Given the function below, find f(-5): f(x)= x^2 + 3x - 21​

Answers

Answer:

Step-by-step explanation:

f(-5) = (-5)^2 + 3(-5) - 21

= 25 - 15 - 21

= -11

Answer:

11

Step-by-step explanation:

) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.

I need help with this, please. Someone?

Answers

Answer:

6:8:10

Step-by-step explanation:

alex, brian, and carlton competes the same weightlifting category this year and one of them won! the weight alex lifted plus the weight brian lifted was 220 kg. the weights lifted by alex and carlton totaled 240 kg. and the weights lifted by Brian and Carlton totaled 250 kg. How many kilograms did the winner lift

Answers

Answer:

135 Kilograms

Step-by-step explanation:

Alex = 105

Brian = 115

Carlton = 135

135

A rectangular prism has a volume of 3,510 feet cubed. It has a height of 12
feet and a length of 13 feet. What is it's width? *

Answers

Answer:

22.5 feet.

Step-by-step explanation:

Volume = length * height + width, so:

3510 = 13 * 12 * width

So width = 3510 / (13*12)

= 22.5 feet.

Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times

Answers

Answer:

0.75 ;

150

Step-by-step explanation:

Probability of rolling two even numbers :

{1, 2, 3, 4, 5, 6}

P(even) = 3 / 6 = 1/2

From a roll of 2 dice :

P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25

P(not even) = 1 - 1/4 = 3/4

X : ____ 6 _______ - 1

P(x) ____ 0.25 ____ 0.75

Expected value :

Σx*p(x) = (6*0.25) + (-1 * 0.75)

= 1.50 - 0.75

= 0.75

If 200 games are played :, n = 200

Expected value * n

0.75 * 200

= 150

I need help I don’t get how to solve it plsss help me

Answers

Answer:

Step-by-step explanation:

They give you the equation, you must substitute the x values into the equation to find the y values.

Example on top equation:

y=-5x so the y values would be

y=-5(-1)=5

y=-5(0)=0

y=-5(1)=-5

y=-5(2)=-10

28+c=36 what is the value of c

Answers

Answer:

to find the value of c, isolate it.

28 + c = 36

c = 36 - 28

c = 8

now, to check:

28 + 8 = 36 ✓

28+c=36
-28 -28
subtract 28 to get c by itself

c= 36-28

c= 8

hope this helps!

An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS

Answers

Answer:

The other angles can be 56°, 68°, or 62°.

Step-by-step explanation:

If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°

If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.

The other angles can be 56°, 68°, or 62°.


What is the equation of the line in slope-intercept form

Answers

Answer:

-2

Step-by-step explanation:

as x goes up 1 y goes down 2

slope is change in y over change in x

-2/1=-2

PLZ HELP PLZ GIVING 15 POINTS AND GIVE BRAINLIEST

Answers

Answer:

12/7

Step-by-step explanation:

[tex]6=\frac{6}{1} \\\frac{6}{1}*\frac{2}{7}=\frac{12}{7}[/tex]

When you multiply fractions you multiply straight accross

there are 63 boys in sixth grade. the number of girls in the sixth grade is 56. Shelby says that means the ratio of the number of boys to the number of girls in sixth grade is 9:7. is Shelby correct. use a tape diagram, to support your answer.

Answers

Answer:

Yes, Shelby is correct.

Step-by-step explanation:

Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.

Simplify (6w + 5.2) + (12.2 + 2.3w)

Answers

Answer:

The answer is 8.3 W + 17.4

If you click on the image it will show you how to solve the equation and I hope this helps you.

What is true about the dilation?

Answers

Dilation is scale factor, like a dilation scale factor of 2

Solve the formula C = d for d.

Answers

To solve this for D you divide both sides by pi and get d=c/pi

please answer quick! I will give brainliest! The figure below shows the front side of a purse in the shape of a trapezoid. Find the area of the trapezoid. Be sure to use the proper area formula from your lesson notes!
Make sure to show your work and explain the steps you took in solving the problem using the words “first,” “next,” and “last.”

Answers

Answer:

the area is 110. the formula for a trapezoid is A= a+b/2 × h.

A= a+b/2 ×h= A= 9+13/2×10=110

Use this and explain yourself

enter a negative number that has a greater absolute value than 5

Answers

Answer:

-10 ||10||

Step-by-step explanation:

Solve the given equation. 8k = 40
k =​

Answers

To find k, divide both sides by 8:

k = 40/8

k = 5

Answer:

k=5

Step-by-step explanation:

8k=40

k=40÷8

k=5

therefore k is equal to 5

A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?

Answers

Answer:

$2.77 per quart.

Step-by-step explanation:

There are four quarts in a gallon.

4 * 3 = 12

There are 12 quarts in 3 gallons.

[tex]\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}[/tex]

The price per quart should be $2.77.

Hope this helps.  

What is 5 - 5/7 = ? (Simplfy)

Answers

5 - 5/7 is 30/7 which is 4 2/7

x/2 + 7 = 12 what color​

Answers

Answer:

Red

Step-by-step explanation:

it is 10

PLEASE HELP IM SO BAD AT MATH AND I AHVE A 25 IN IT PPLELSLSLSL

Answers

Answer:

for the shirts made column its 1, 2, 3, 4, 5

for the cost of machine it's 2 and 150

and for total cost its 160, 180, and 200

Step-by-step explanation:

-12x2 – 16x
Help me with this please

Answers

Answer:

-4x(3x+4)

Step-by-step explanation:

You have to undo the problem, I will show you how this problem looks if you solve it (the answer i guess? id.k it is hard to explain any other way)

So first we use distributive property-

-4x *3x=-12x^2

-4x*4=-16x

-12x^2-16x  And now we have the problem we started with!

Answer:

its -4x(3x+4)

Step-by-step explanation:

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