A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.


a) calculate the perimeter of the plot, to the nearest meter.

b) calculate the area of the plot, to the nearest square meter.

Answers

Answer 1

Answer:

Perimeter = 271 meters

Step-by-step explanation:

third angle measure would have to be 180 - 122 = 58 degrees

you can use the law of sines:

sin 58° = sin 74°

   90           b

.85 = .96

 90       b

cross-multiply:  .85b = 86.4

                          b = 102

now do again to find third side:

sin 58° = sin 48°

   90           c

.85 = .74

 90       c

.85c = 67

c = 79

now you know all 3 sides so add them to get perimeter (79+102+90) = 271


Related Questions

What is the coefficient in the inequality 3x=10?

Answers

15 until i have a 525 inch piece for you to 6161

7.7 is what percent of 8? Round to the nearest tenth.

Answers

Answer:

96.25 unrounded 96.3 rounded

Step-by-step explanation:

Answer:96.3

Step-by-step explanation:7.7/8=.9625 then times that by 100 and get 96.25 but round the 2 since the 5 is behind it and telling it to go up so you get 96.3

The radius of the circle on a basketball court is 6 feet. What are the approximate
circumference and area of the circle?
Circumference: 37.7 feet
Area: 113.0 square feet
Circumference: 18.8 feet
Area: 37.7 square feet
Circumference: 18.8 feet
Area: 113.0 square feet
Circumference: 12.0 feet
Area: 18.8 square feet

Answers

Answer:

C= 37.69ft

A= 113.09ft

Step-by-step explanation:

Circumference=

=37.69

Area=

Area = pi * 6 ^2

Area =113.09

(5, -7)
(10, 5)
2
5+

Answers

Answer:

Whats the Question

Step-by-step explanation:

This doesn't make sense

plz help meee 2 more problems and I am done

Answers

Answer:

Step-by-step explanation:

Figure 1,

EA and EB are the opposite rays.

EC bisects angle FEG.

a). m∠FEC = [tex]\frac{1}{2}(m\angle FEG)[/tex]

   (2x + 6) = [tex]\frac{1}{2}(40)[/tex]

   2x + 6 = 20

   2x = 14

   x = 7

b). ED⊥AB

   Therefore, m∠AED = 90°

    m∠AED = 11y + 13 = 90°

    11y = 90 - 13

    11y = 77

    y = 7

Figure 2,

NC bisects ∠WNB,

Therefore, ∠WNC ≅ ∠CNB

m∠WNC = m∠CNB

3v - 4 = 2v + 6

3v - 2v = 4 + 6

v = 10

Therefore, m∠WNC = x = (3v - 4)

x = 3(10) - 10

  = 30 - 10

x = 20

Help if you know the answer it due ASAP

Answers

Answer: ∠2 and ∠7

Step-by-step explanation:

Alternate exterior angles are a pair of angles on the outer side of each of the parallel lines but on opposite sides of the transversal.

Hope I helped!

Gavin is saving up to buy a new phone. He already has $100 and can save an additional $7 per week using money from his after school job. How much total money would Gavin have after 10 weeks of saving? Also, write an expression that represents the amount of money Gavin would have saved in w weeks.

Answers

The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w  

Mathematical expression:

A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.

Here we have

Gavin is saving up to buy a new phone.

He already has $100 and can save an additional $7 per week using money from his after-school job

Let us assume that he worked for 'w' weeks  

The amount earned for 'w' weeks = 100 + 7w

Hence, the required expression is 100 + 7w  

The total amount saved in 10 weeks = 100 + 7(10) = $ 170

Therefore,

The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w  

Learn more about Expression at

https://brainly.com/question/21394250

#SPJ1

Which of the following rational functions is graphed below?

Answers

Answer: Choice C [tex]f(x) = \frac{1}{x(x+4)}[/tex]

========================================================

Explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

The vertical asymptote is due to a division by zero error.

When x = 0, the denominator x(x+4) turns into 0 since

x(x+4) = 0(0+4) = 0*4 = 0

Similarly, when x = -4, the denominator is also zero

x(x+4) = -4(-4+4) = -4*0 = 0

So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.

This is why the answer is choice C. [tex]f(x) = \frac{1}{x(x+4)}[/tex]

Multiply (3+b) × (4+2b)​

Answers

(3+b)*(4+2b)=3*4+3*2b+b*4+b*2b=

=12+6b+4b+2b^2=12+10b+2b^2=2(6+5b+b^2)=

=2(b^2+5b+6)

Find the vault of each variable

Answers

Answer: x = 13 and y = 13sqrt(2)

Explanation:

Since it’s a 45-45-90 degree triangle

The two lengths are equivalent to each other and the hypotenuse is equal to the length multiply by sqrt(2).

Thus x = 13 and y = 13sqrt(2)

so like imma ask dis one more time

Answers

Answer:

1/4+1/32

Step-by-step explanation:

1/4+1/4=1/2

1/32+1/32=1/16

I hope this helps:

Translate the phrases to algebraic expressions.

The sum of 8 times a number and 3

Answers

Answer:

8x+3

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is 4x – y = 9.
Fully reduce your answer.
Help

Answers

ANSWER: -1/4

EXPLANATION:

4x-y=9

y=4x-9

(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)

(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient

So, m1 x 4= -1

    m of perp line= -1/4

Write an inequality for the graph. pls help ​

Answers

It’s less than or equal to because the circle is closed and it’s pointing to the left so it’s the less symbol with an underline.

write an equation in slope-intercept form for this line.

Answers

Answer:

y = - 8x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 8, then

y = - 8x + c ← is the partial equation

To find c substitute (- 1, 4 ) into the partial equation

4 = 8 + c ⇒ c = 4 - 8 = - 4

y = - 8x - 4 ← equation of line

Please help me 123 or 4

Answers

Answer:

3

Step-by-step explanation:

because divide Pt from both sides to get r=i/(pt)

pls help I'm so confused X+8 What is the solution of 5x-1 > O? O x5-8 or X> 5 1 0x 5 x8 1 0 -85 0 -8 < X < 7​

Answers

Step-by-step explanation:

(x + 8) / (5x - 1) > 0

Multiply both sides by (5x - 1)², which is always positive for all real values of x in the domain.

(x ≠ 1/5)

=> (x + 8)(5x - 1) > 0

=> x < -8 or x > 1/5.

The answer is the 2nd option.

the 2nd option hope this helps !!

Plss help this is due tmrr

Answers

Answer:

1) 17.80

2) 25.09

Step-by-step explanation:

1) From the diagram,

Opposite = x

Hypotenuse = 22

Angle of elevation = 54°

According to SOH trigonometry identity

sin theta = opposite/hyp

sin 54 = x/22

x = 22sin54

x = 17.798

Hence the value of x is 17.80 to the nearest hundredth

2) Opposite = 11

hypotenuse = x

Angle of depression = 26°

sin 26 = opp/hyp

sin 26 = 11/x

x = 11/sin26

x = 11/0.4384

x = 25.09

Hence the value of x to nearest hundredth is 25.09

Which of the following values of x makes this equation true? (-4x – 3) - (7x - 3) = 22​

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-4x-3)-(7x-3) =22​  Equation

Step 2

(-4x-3)-(7x-3) =22​  Simplify

-11x=22

Step 3

-11x=22  Divide

Answer

x=-2

Now we have to,

→ find the required value of x.

Then the value of x is,

→ (-4x - 3) - (7x - 3) = 22

→ -4x - 3 - 7x + 3 = 22

→ -11x + 0 = 22

→ x = -22/11

→ [ x = -2 ]

Thus, the value of x is -2.

Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?

Answers

Answer:

6364 cases

6364 bottles are left

Step-by-step explanation:

From the question, we are given the following

Total bottles of water = 8500bottles

Total cases filled = 2136cases

Required

Number of cases Jane can film with the remaining bottle.

Number of cases Jane can fill = 8500-2136

Number of cases Jane can fill with the remaining bottle= 6364 cases

Number of bottles left = number of cases Jane have left to fill.

Hence;

Number of bottles left = 6364 bottles

C=242 use 22/7 as pie find the radius ​

Answers

Answer: r=38.5

Step-by-step explanation:

Use circumference equation 242=2(22/7)r

Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.

Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?

Yes, Shawn has guessed well so far, so it is clear that he cannot miss.
No, all of the cards have been blue so far, so the next one must also be blue.
Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.

Answers

Answer:

No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2020

She said I drove her away with my emotions

Answers

Then be emotionless or just don’t change for someone who doesn’t even want you. Know your self worth

20 points
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.

Answers

Answer:

I think the answer is A, D, E, F, and G.

Tell me if i'm right or wrong please.

Answer:

adefg

Step-by-step explanation:

The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?

Answers

Answer:

2

Step-by-step explanation:

If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means

there can only be 2.5 different committees because you can't subtract 3 from 8

Answer:

125790 different committees can be chosen.

Step-by-step explanation:

The principal would like to assemble a committee of 8 students from the 20-member student council.

We need to find How many different committees can be chosen?

Since the order is not important, so we use Combinations to solve the question.

The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]

In the question given: we have n = 20 and r = 8

Putting values and finding the number of ways committees can be chosen:

[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]

So, 125790 different committees can be chosen.

An elevator is on the 15th floor. it goes down eight floors. What floor is the elevator on now?

Answers

15-8=7 um it’s just subtraction :|

Answer:

7

Step-by-step explanation:

15 - 8 = 7

A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?

Answers

Answer:

Dimension = 6 feet × 3 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Length (L) = 6 feet

Distance around the fence (Perimeter) = 18 feet

Dimension of the fence =?

Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:

Length (L) = 6 feet

Perimeter (P) = 18 feet

Breadth (B) =?

Perimeter of rectangle is given by:

P = 2(L + B)

18 = 2 (6 + B)

Clear the bracket

18 = 12 + 2B

Collect like terms

18 – 12 = 2B

6 = 2B

Divide both side by 2

B = 6/2

B = 3

Thus, the breadth of the rectangular fence is 3 feet

Dimension of the rectangular fence is given by:

Dimension = length × Breadth

Length (L) = 6 feet

Breadth (B) = 3 feet

Dimension = 6 feet × 3 feet

The figure shows a truss used in the construction of a building. The measure of ∠1 is 39°. Find the measure of ∠2.

Answers

Answer:

39

Step-by-step explanation:

Since the first measure is 39 that means the second is 39 because its the same.

c. As the price of the bananas decreased by 15%, 3 more bananas were bought for 100 dollars. What is the price of bananas per dozen at present

Answers

Answer:

which question is this referred to?

FIND THE VALUE OF X.
GIVEN ABCDEF~JKLMNP.

Answers

rotate the hexagon so the sides line up to make it easier

then set up a proportion

x/x+1 = 10/30
30x = 10x + 10
20x = 10
x = 1/2
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