please help i am stuck and trying not to fail lol. also if you can show work pls

Please Help I Am Stuck And Trying Not To Fail Lol. Also If You Can Show Work Pls

Answers

Answer 1

Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]

[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]

[tex]Hypotenuse=12\times 2[/tex]

[tex]Hypotenuse=24[/tex]

So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan 30=\dfrac{12}{Base}[/tex]

[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]

[tex]Base=12\sqrt{3}[/tex]

Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:

[tex]Area=length \times width[/tex]

[tex]Area=12 \times 12\sqrt{3}[/tex]

[tex]Area=144\sqrt{3}[/tex]

So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.

(c)

Perimeter of the rectangle is:

[tex]P=2(length+width)[/tex]

[tex]P=2(12+12\sqrt{3})[/tex]

[tex]P=24+24\sqrt{3}[/tex]

[tex]P\approx 65.57[/tex]

Therefore, the perimeter of the rectangle is about 65.57 units.


Related Questions

Step by step explanation please

Answers

Step-by-step explanation:

of what where is the question

what are we explaining ?

Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?

Answers

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable

Answers

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

What’s the area of this polygon? Need to show work.

Thank you!

Answers

Step-by-step explanation:

area of traingle formed on right= 1/2*base*height

=1/2*5*6

= 15mi²

LOOK AT THE PHOTO PLEASE

Answers

Answer:

The answer to the question provided is 4.

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: 9x + 4 = 5x + 20 \\ \frac{ - 5x = - 5x}{4x + 4 = 20} \\ \frac{ \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{4x}{4} = \frac{16}{4} } \\ x = 4[/tex]

[I apologize if the answer to the question is inaccurate]

A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?

Answers

Answer:

20 is the longer piece, 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9=29

Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12

Answers

Answer: I know that DC is 12 and AD=8 the others i dont know.

Step-by-step explanation:

This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.

help me please i dont know what to do

Answers

Answer:

x = 14.4

Step-by-step explanation:

First of all, the triangle has three sides, so let's use hero's formula to find the area.

A = √[p(p - a)(p - b)(p - c)]

Where;

a, b and c are the 3 given sides of the triangle and;

p = (a + b + c)/2

p = (18 + 30 + 24)/2

p = 72/2

p = 36

Thus;

A = √(36(36 - 18)(36 - 30)(36 - 24))

A = √46656

A = 216 Sq.units

Now, we also know from general formula of a triangle that;

A = ½bh

Where;

b is base and h is height

In the given image;

b = 30

h = x

Thus;

½ × 30 × x = 216

Rearranging, we have;

x = 216 × 2/30

x = 14.4

Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.​

Answers

Answer:

x≤14

Step-by-step explanation:

≤ = greater than/equal to(at least)

The line of best fit for a set of data is y = 19.3232 – 0.7334x. What is the approximate x-value where the y-value is 15.654

Answers

Answer:

The answer should be 5.003, you can round if you want to 5

Step-by-step explanation:

helppppppppppppppppp

Answers

Answer:

x[tex]\leq[/tex]1

Step-by-step explanation:

please help me fast! thanks​

Answers

Answer:

the answer is 15

Step-by-step explanation:

Just add

Answer:

15 grams

Step-by-step explanation:


It costs $29.50 to enter an amusement park and $0.25 to ride a ride. You have $30. Write an equation that represents the number of rides you can ride.

Answers

Answer: 120.

Step-by-step explanation: $30 divided by $0.25

29.50-30=.50 .50/.25=2 you can ride 2 rides

What is 6 ( 8 + w). Use the distributive property to remove the parentheses.

Answers

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

Using the distributive property you would multiply the number outside of the parentheses by everything inside the parentheses. So 6 x 8 and 6 x w.

6 x 8= 48 6 x w=6w

Final answer: 48 + 6w

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+161x+108
y=−16x
2
+161x+108

Answers

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height

Emily grows flowers on part of her 2-acre farm. Her house
and barn cover half an acre, her vegetable gardens cover
1 1/4 acres, and her flower garden covers the rest of her
farm. She divides the flower garden into 16 equal-sized
plots and puts 4 kinds of flowers in each plot.
How large is each plot of flowers in Emily's garden?

Answers

Answer:

1/64 for each type f flowe

Step-by-step explanation:

The equation has a solution of x = 5.



What is the value of k?

k =

Answers

Answer:

K=  -11

Step-by-step explanation:

Which of the expressions are equivalent to the one below? Check all that
apply.
10x(3+4)
A. (3+4)x10
O B. (10x3) + 4
C. 10.3 + 10 - 4
D. 10. (4+3)
SUBMIT

Answers

Hi hi!!

So, A is correct because it is the same equation just (3+4) is in the front. D is also correct because it is the same question because when a number is for example like 10(3+4) it mean multiplication and in this case you are multiplying. B and C are incorrect because they do not have a total of 70. The original equation, 10x(3+4) = 10x7 = 70.

Correct answers:

A. (3+4)x10
D. 10(4+3)

By rounding to 1 significant figure estimate the answer to the question of these questions. a) 346x904
b) 2451x988
c) 3203x7756​

Answers

C) 3203x7756 is the correct answer for your question

please help i don't even where to start

solve for x​

Answers

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.

Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.

Now, by the intersecting chord theorem,

16×4 = x × x

or

x ² = 64

so that

x = 8

Huh! Its me DaBaby and i need your help with this question. Yeah Yeah!

Answers

Answer:

the third one is the correct answer

[tex]b { }^{ - 16} [/tex]

Step-by-step explanation:

hope the helps

Answer:

b to power of -16

Step-by-step explanation:

what is the fraction form of .8

Answers

i believe its 4/5 :)

Help......................

Answers

7 is the answer. hope this helps!
the answer is 7, have a good day and good luck

Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.

Answers

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:

24

Hope this helps :T

Write the equation of the quadratic function shown in the graph.

Answers

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

Can anyone help me out??

Answers

9514 1404 393

Answer:

  p(1) = 6

Step-by-step explanation:

The basic idea is to put 1 wherever you see x. That gives you ...

  p(1) = 2·1² +3·1 +1

The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:

  p(1) = 2 + 3 + 1

  p(1) = 6

A tennis tournament has 342 players. A single match involves 2 players. The winner of a match will play the winner of a match in the next round, whereas losers are eliminated from the tournament. The 2 players who have won all previous rounds play in the final game, and the winner wins the tournament. What is the total number of matches

Answers

Answer:

341 matches

Step-by-step explanation:

Given

[tex]Players = 342[/tex]

[tex]Match = 2\ players[/tex]

Required

Total number of matches.

The total number of matches is calculated by getting the number of matches in each round.

i.e.

[tex]Matches = \frac{Players}{2}[/tex]

So, we have:

Round 1

[tex]Matches = \frac{342}{2} = 171[/tex]

Round 2

[tex]Matches = \frac{171}{2} = 85\ R\ 1[/tex] [R 1 means remainder 1]

Round 3

[tex]Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43[/tex]

[The remainder is added to each round]

Round 4

[tex]Matches = \frac{43}{2} = 21\ R\ 1[/tex]

Round 5

[tex]Matches = \frac{21+1}{2} = \frac{22}{2} = 11[/tex]

Round 6

[tex]Matches = \frac{11}{2} = 5\ R\ 1[/tex]

Round 7

[tex]Matches = \frac{5+1}{2} = \frac{6}{2} =3[/tex]

Round 8

[tex]Matches =\frac{3}{2} = 1 + 1[/tex]

Round 9

[tex]Matches = \frac{1+1}{2} =\frac{2}{2} = 1[/tex]

So, the total is:

[tex]Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1[/tex]

[tex]Total = 341[/tex]

Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't

Answers

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket

Answers

Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

During a 4​-year ​period, ​65% of snowstorms in a certain city caused power outages. 14 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 4​-year period.

Answers

Answer:

40

Step-by-step explanation:

S x .35 = 14

S = 14/.35

S = 40

Verify:

40 x 35% = 14

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A car dealer owed a bank $10,000, due on June 1. The dealer subsequently sold a car to a buyer at a price of $10,000, payable at $1,000 per month beginning on June 1. The dealer then telephoned the bank to ask whether the bank would accept payments of $1,000 per month for 10 months beginning June 1, without interest, in payment of the dealer's debt to the bank. The bank agreed to that arrangement, and the dealer then asked the buyer to make his car payments directly to the bank. When the buyer tendered the first payment to the bank, the bank refused the payment, asserting that it would accept payment only from the dealer. On June 2, the bank demanded that the dealer pay the debt in full immediately. The dealer refused to pay, and the bank sued the dealer to recover the $10,000. In this suit, which of the following arguments best supports the bank's claim for immediate payment?a. The dealer gave no consideration for the agreement to extend the time of payment. b. The dealer could not delegate its duty to pay to the buyer.c. The agreement to extend the time for payment was not in writing d. The dealer's conduct was an attemptednovation that the bank could reject. 2When a set of data has an even member the median is found by:(1 Point)O adding the two middle numbersfinding the mean of the two numbers at the end.O finding the mean of the middle membersO choosing the number in the middle HelpppppDuring which stage of the tempering process is couverture heated on a direct heat source?MeltingTemperingRewarmingNone of the above. Which of these is not a principle in which John Marshall established?A. The Constitution is the supreme law of the landB. The Constitution must be followed if there is conflictC. The Legislative branch can declare laws unconstitutionalD. all of the above can somebody help me please Dont guess!I will mark brainliest if its correct!Also no links! -5x+5y=103x-3y= -10 Which of the equations below could be the equation of this parabola?(0,0)VertexO A. y = 2x2B. x = -2y2O c. x = 2y2O D. y= -2 Find the Inverse of the following function. half of 1/2 cake = _____ cake. Boilermaker House Painting Company incurs the following transactions for September. Required: For each transaction, describe the dual effect on the accounting equation. For example, for the first transaction (1) assets increase and (2) stockholders' equity increases. Dual Effect Assets increase and stockholders' equity increases. Transactions 1. Paint houses in the current month for $15,000 on account. 2. Purchase painting equipment for $16,000 cash. 3. Purchase office supplies on account for $2,500. 4. Pay employee salaries of $3,200 for the current month. 5. Purchase advertising to appear in the current month, $1,200 6. Pay office rent of $4.400 for the current month. 7. Receive $10,000 from customers in (1) above. 8. Receive cash of $5,000 in advance from a customer who plans to have his house painted in the following month. Which of the following is a solution to the differential equation xy3y=6xy3y=6 ? I need help pls is due today Help me please.. there is no option on here for Human Resources principals, so I jus clicked business as the subject.. Which situation would not be represented by the integer -5?There is a temperature of 5.You owe $5.There is a hole 5 feet deep.There is a 5-yard penalty. Which of the following confirms that the identity assertion belongs to the entity presenting it?a. Identificationb. Authenticationc. Authorizationd. Inflammation What was W.E.B. DuBoiss main purpose in the chapter about Booker T. Washingtons ideas? Santana Mortgage Company uses a process cost system to accumulate costs in its Application Department. When an application is completed, it is forwarded to the Loan Department for final processing. The following processing and cost data pertain to September. 1. Applications in process on September 1, 200 2. Applications started in September, 900 3. Completed applications during September, 600 4. Applications still in process at September 30 were 100% complete as to materials (forms) and 60% complete as to conversion costs. Beginning WIP: Direct materials $1,250 conversion costs 4.130 september costs direct material $5,020 direct labor 12,720 overhead 7,270 A pentagon has angles that measure80, 90, 130, 120, and t. What is t?t= Which of the following is not correct about diffraction?