Mathematics High School


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

A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?

Answers

Answer:

251.33in²

Step-by-step explanation:

A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?

We solve the above question using the formula for Total surface area of a cylinder.

TSA = 2πr (h + r) Square units.

Where

h = Height of the cylinder

r = Radius of the cylinder

Diameter of the container is 10 inches

Hence, radius = Diameter/2 = 10/2 = 5 inches

Height is 3 inches.

Hence, Total surface area =

2 × π × 5 (5 + 3)

= 10π × (8)

= 251.32741229 in²

Approximately = 251.33 in²

Therefore, the amount of sand that can fit into the cylinder = 251.33 in²

Solve the equation

x-4=-x+2

Answers

Answer:x=3

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

Given

x-4=-x+2

Add x on both sides

x-4+x=-x+2+x

2x-4=2

Add 4 on both sides

2x-4+4=2+4

2x=6

Divide 2 on both sides

2x/2=6/2

x=3

Hope this helps!! :)

Please let me know if you have any questions

Find the measure of the missing angle.

Answers

Answer:

68

Step-by-step explanation:

90 - 22

68

I think it’s 68. Since there is a square that means is a 90° angle. 22-90=68.

68 is your answer.

can someone please help me??

Answers

Answer:

the answer is c ...............

Answer:

It could be A or C because they are the same

Step-by-step explanation:

maths very easy class 8​

Answers

Answer:

Rs. 333

Step-by-step explanation:

Area of the surface of the cuboidal box to be painted = surface area of the cuboidal box - area of the base

✔️Surface area of the cuboidal box = 2(L*W + W*H + L*H)

L = 6 cm

W = 4 cm

H = 2.5 cm

Surface area of the cuboidal box = 2(6*4 + 4*2.5 + 6*2.5) = 2(24 + 10 + 15) = 2(49)

Surface area of cuboidal box = 98 cm²

✔️Area of base = L*W

= 6*4 = 24 cm²

Area of the cuboidal box to be painted = 98 - 24 = 74 cm²

✔️Cost of painting 74 cm² at Rs. 4.50 per cm² = 74 × 4.50 = Rs. 333

Cassie Goes to Buffalo Wild Wings with her 2 sister. It is her turn to pay for dinner. Because she is more generous than her sister, she decides to give a 25% tip to their sever. If in total she paid $70.15, what was the price of the food and drinks only?

Answers

Answer:

The price of food and drinks only is: 52.61

Step-by-step explanation:

I did the simple cross multiply divide

multiply 70.15 by 25 round to nearest tenth (since it is money) giving you17.54 then subtract 17.54 from 70.15 giving you 52.61.

MAKE ME BRAINLIST PLZ and thank you

What is the measure of angle C?

Answers

Answer:

48

Step-by-step explanation:

57 + 27 = 84

180 - 84 = 96

96 ÷ 2 = 48

Write an equation, slope of -7 y-intercept of 5

Answers

y=-7x+5

(y=mx+b)
m- slope
b- y-intercept

a boy who is reading 20 pages of a book per day can finish it in one month. how many day will he take it if he reads 30 pages per day

Answers

Answer:

20

Step-by-step explanation:

i need help ASAP
(4,−4), (k,−1); m=3/4 i need to know what k is

Answers

Answer:

8

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

3/4=(-1-(-4))/(k-4)

3/4=(-1+4)/(k-4)

3/4=3/(k-4)

cross product

4*3=3(k-4)

12=3(k-4)

12/3=k-4

4=k-4

k=4+4

k=8

A pack of snack bars includes 2 blueberry bars , 3 chocolate bars , and 5 cherry bars . What is the ratio of the number of blueberry bars to the number of cherry bars ?

Answers

Answer:

2:5 is the ratio in this situations

Step-by-step explanation:

There are 2 blueberry bars, and 5 cherry.

Is the trinomial a perfect square? write yes or no. x^2+12x+36

Answers

Answer:

no

Step-by-step explanation:

help. Its on khan acadmy I dont know how to solve

Answers

Answer:

13

Step-by-step explanation:

The coeficcent of a term xa where a is the variable is x. Thus 13a results in 13 as the coeficcent

Answer:

Step-by-step explanation:

The coefficient is the constant multiple of a which is 13.

Which property is demonstrated in the equation (4 x 7) x 10 = 4% (7 x 10) ? a. Symmetric b. Distributive c. Associative d. Commutative​

Answers

Answer:

associative prop. of multiplication

Step-by-step explanation:

Without using a calculator, determine whether 1 728 is a perfect square, a perfect cube, or
neither

Answers

Answer:

it's a perfect cube only....

will give brainliest to right answer


a line is translated. Which of these could be the results

Answers

Answer:

D

Step-by-step explanation:

D is the only choice that actually contains a line.

A is a ray.

B is a parabola.

C is a line segment.

Answer:

D...... .............

The height of bamboo is proportional to its age. Use the graph to determine how long it takes for bamboo to reach a height of 120 inches,

Answers

Answer:

Answer: 30 weeks

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A lumberjack found 280 trees on a 1.5-acre plot ready for harvest. On the west side, he found 260 trees on a 1.9-acre plot. Which plot has a greater rate of harvest-ready trees per acre?

Answers

Answer:

280 trees on a 1.5 acre plot

Step-by-step explanation:

It has more trees with less acres already without any calculations.

The linear equation that represents the values shown in the table below is y= x+

Answers

Answer:

ifgc

jhpn9fl k k k  k k k k k k k k k kk k k k k k k k

80 times 30 plus 60 equals

Answers

Answer:

2460

Step-by-step explanation:

Hope this helps :)

Answer:

the awnser is 2460 have a nice day

Step-by-step explanation:

If a varies directly with b, write the constant of proportionality equation.
b = 2 and a = 10
options:
1. a=5b
2. k=5
3. a= 1/5b
4. b=5a

Answers

1. 10=5(2)
2.k=5
3. 10=1/5(2)
4.2=5(10)

Pls answer I need help majorly, don't answer if you don't know and if you want points tell me in the COMMENTS and I'll make a thing just for u!!!♥️ Thanks, luv u!!

Answers

Answer:

30

Step-by-step explanation:

I am serious because they are the same angle. Can someone help me with my question plz

Abcde~Fghij. Find the value of w

Answers

Answer:

=13

Step-by-step explanation:

because I don't have a clue what I'm doing

The graph of y = f(x) is shown below. Determine the value of x when f(x)
3?

Answers

Answer:

this is a hard question

Step-by-step explanation:

i dont know

The clerk at a store worked 45 hours one week.He worked an equal number of hours each day on Monday through Friday.He worked an extra 5 hours on Saturday.How many hours did he work on each weekday

Answers

Answer:

he worked 40 hours on the the weekdays

Step-by-step explanation:

If a series RC circuit is operating at 100 VAC and has an impedance of 52.5 ohms, what is the circuit current

Answers

Answer:

1.9 Amps

Step-by-step explanation:

In an RC circuit, the relationship between the current I in amps, the impedance Z in ohms and the voltage V in volts may be stated as

V = IZ

As such, given that z = 52.5 ohms and V = 100 Volts, the current in the circuit I may be computed as

100 = I * 52.5

Divide both sides by 52.5

I = 100/52.5

= 1.9 Amps

what is the factored form of 2 (-8x - 3) + 18x?​

Answers

Answer:

Step-by-step explanation:

2(−8x−3)+18x

2x−6

=2(x−3)

The factored form of the given polynomial is 2(x-3).

What are factors of polynomial?

The factors are the polynomials which are multiplied to produce the original polynomial.

The given polynomial is 2(-8x-3)+18x

= -16x-6+18x

= 2x-6

= 2(x-3)

Therefore, the factored form of the given polynomial is 2(x-3).

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

#SPJ2

The circumference of a circle is 14\piπ in. Find its diameter, in inches.

Answers

Answer:

4.46 will be the diameter

The formula for circumference is diameter x pi

Since the circumference is given in terms of pi, the diameter is the number given.

Diameter = 14 inches.

It is actually 2m/s2

Answers

Answer:

what is the question here?

Step-by-step explanation:

9/10 + 3/4 in simplest form?

Answers

Answer:1 13/20

Step-by-step explanation:

i took the test and it was correct pls check out my yt channel its hailey Azbell

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