Trigonometry, how would I find the area of this triangle?

Trigonometry, How Would I Find The Area Of This Triangle?

Answers

Answer 1

Answer:

Step-by-step explanation:

Area of triangle = 1/2 * base * height

Use the side of length 5.6cm as base, the height will be a perpendicular line from the base to the tip of the triangle.

From the right-angle triangle formed by the height and the side of length 3.9cm,

sin(56°45') = height / 3.9

height = 3.9*sin(56°45')

Substituting back into the area equation:

Area = 1/2*5.6*3.9*sin(56°45')

= 9.0cm^2

= 9cm^2

Answer 2

Use sine rule for Area

[tex]\\ \rm\rightarrowtail Area=\dfrac{1}{2}absinC[/tex]

[tex]\\ \rm\rightarrowtail Area=\dfrac{1}{2}(3.9)(5.6)sin56°45'[/tex]

[tex]\\ \rm\rightarrowtail Area=10.92(0.836)[/tex]

[tex]\\ \rm\rightarrowtail Area=10.22cm^2[/tex]


Related Questions

A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?

Answers

Answer:

7 pigs, 16 chickens

Step-by-step explanation:

p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23

System of Equations:

Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legs

Then, use substitution & solve:

[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]

Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c

[tex]23-p=c\\23-7=c\\c=16[/tex]

Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]

To check your work, plug those solutions back into the system.

------

(I hope that helps & good luck! <3)

pick correct anser for 10 points !!!

Answers

Answer:

[D] a/b < d

Step-by-step explanation:

a = -1.25

b = 1

c = 0.5

d = 1.25

Now Solve the statement:

a/d > c

substitute

-1.25/1.25  which is -1

-1 > 0.5

Thus, this is false

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

c < ab

substitute

0.5 < (-1.25)(1)

0.5 < -1.25

Thus, this is false.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a > bc

-1.25 > (1)(0.5)

Hence,

-1.25 > 0.5

Thus, this is false

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a/b < d

-1.25/1 < 1.25

-1.25 < 1.25

Thus, this is true

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hence, Answer is [D] a/b < d

[RevyBreeze]

The present ages of Tina and Mina are in the ratio of 4:5 if the sum of their ages after three years would be 33 years find their present age

Answers

Answer:

  Tina is 12 and MIna is 15

Step-by-step explanation:

Age problems can often be worked by backing out any of the changes in age so as to match the conditions specified at a given time.

Here, the ratio is given for now. The sum of the two ages is 6 years less now than it will be after 3 years, so is now 33 -6 = 27.

The sum of ratio units now is 4+5 = 9, so each ratio unit stands for 27/9 = 3 years of age. The ratio of current ages is ...

  3×4 : 3×5 = 12 : 15

Tina is 12 and MIna is 15.

_____

Check

After 3 years, their ages will be 15 and 18, which will total 33.

please answer this i need help

Answers

Answer:

X=70⁰

Step-by-step explanation:

Angle X and the angle that is 70⁰ , are corresponding angles. Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

Answer:

x=70

Step-by-step explanation:

Angle X and 70⁰ are corresponding angles.

You randomly draw a marble out of a bag containing 4 green marbles, 6 blue marbles, 8 yellow marbles, and 2 red marbles. Find the probability of drawing a marble that is not yellow.

Answers

Answer:

The probability is [tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Green marbles = 4

Blue marbles = 6

Yellow marbles = 8

Red marbles = 2

[tex]4 + 6 + 8 + 2 = 20 \: marbles[/tex]

The probability of drawing marble not yellow:

[tex]4 + 6 + 2 = 12 \\ \frac{12}{20} = \frac{3}{5} [/tex]

Brainliest please.

Six coins are tossed simultaneously what is the probability of getting exactly 4 heads

Answers

3/12 because there are 6 heads and tails in 6 coins

The probability of getting exactly 4 heads is 0.23.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Let p represents the probability of getting head in a toss of a fair coin, so

[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]

Let X denote the random variable representing the number of heads in 6 tosses of a coin.

The probability of getting r sixes in n tosses of a fair is given by,

Probability of getting 4 heads :

[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]

Hence, the probability of getting exactly 4 heads is 0.23.

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which is larger 0.849 or 1.08

Answers

Answer:

the answer to this question is 1.08

4. The width of a rectangle is (2x - 2) and
its length has a measure of (2x + 2).
a. What is the perimeter of the rectangle?

Answers

[tex]p = 2(l + w)[/tex]

[tex]p = 2(2x - 2 + 2x + 2)[/tex]

[tex]p = 2(4x)[/tex]

[tex]p = 8x[/tex]

Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-

Answers

Answer:

c

Step-by-step explanation:

The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?

Answers

Answer:

126

Step-by-step explanation:

the number of cargo cars is represented by the 35 part of the ratio , then

105 ÷ 35 = 3 ← value of 1 part of the ratio , then

passenger cars = 7 × 3 = 21

total cars = 105 + 21 = 126

How many words have i written

Answers

Answer:

6

Step-by-step explanation:

10788 divided by 31 what it the answer

Answers

Answer:

348

Step-by-step explanation:

hope this helps

I'm hopeless at these pls help

Answers

Answer:

x = -14 I hope this helps :)

The diameter of a circle is 36 millimeters. What is the circle's area? Use 3.14 for ​.

Answers

Answer:1017.36[tex]ml^{2}[/tex]

Step-by-step explanation:

Diameter= 36ml

radius=diameter/2

R=36 ÷2

R=18ml

Area=π[tex]r^{2}[/tex]

Area=3.14 x [tex]18^{2}[/tex]

Area=1017.36[tex]ml^{2}[/tex]

Answer:

Step-by-step explanation:

20 points, A right rectangular prism is 9.5 inches long, 4 yards wide and 3 yards tall what is its volume?

Answers

Answer:

114

Step-by-step explanation:

You first have to do L x W x H

which will be 9.5 x 4 x 3

that gives you 114

which is the answer 114!!

if a:b =2:3 write b as a fraction of a​

Answers

Answer:

given ,

[tex]\fbox{a:b = 2:3}[/tex]

According to Question ,

we've to write b as a fraction of a.

thus , we know that

[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]

now to represent b as a fraction of a ,

we'll have to consider the ratio as b : a

which means ,

[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]

_____________________________

_____________________________

hope helpful :D

Answer:

b = [tex]\frac{3}{2}[/tex] a

Step-by-step explanation:

express the ratios in fractional form

[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2b = 3a ( divide both sides by 2 )

b = [tex]\frac{3}{2}[/tex] a

anyone know the answer to this

Answers

Answer: The bottom three: [tex]\frac{48}{-17}[/tex], [tex]\frac{-48}{17}[/tex], and -2 [tex]\frac{14}{17}[/tex]

Step-by-step explanation:

     The first option is not because the numerator and denominator are flipped.

     The second option is not because this one is positive while the one given is negative.

     The third option is equivalent.

     The fourth option is equivalent.

     The fifth option is equivalent because - 48 / 17 = -2 [tex]\frac{14}{17}[/tex] when turned into a mixed number.

Answer:

[tex]\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}[/tex] (the last 3 options)

Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both [tex]\frac{48}{-17}[/tex] and [tex]\frac{-48}{17}[/tex] work as answers. The last option is just a simplified version of the fraction.

PLEASE HELP ASAP NO LINKS
Henry has a part-time job selling computers. He works 6.5 hours each day,
• The function p(x) = 65 + 25x models his daily earnings, where x is the number
sells during the day.
• Henry sells 3 to 10 computers per day.
Which interval contains all of the values in the range of the function
(A) 3 5 p(x) S 10

10 s p(x) S 185
C
75 s p(x) S 250
D) 140 S P(x) S 315

Answers

function : p(x) = 65 + 25(x)

for 3 sells

p(3) = 65 + 25(3)p(3) = 140

for 10 sells

p(10) = 65 + 25(10)p(10) = 315

So,

140 ≤ p(x) ≤ 315

Answer:

D) 140 ≤ p(x) ≤ 315

Step-by-step explanation:

Domain

Henry sells 3 to 10 computers per day3 ≤ x ≤ 10

Range

To find the range, input the values of the domain of the functionp(3) = 65 + 25(3)p(3) = 65 + 75 = 140p(10) = 65 + 25(10) p(10) = 65 + 250 = 315Range ⇒ 140 ≤ p(x) ≤ 315

Can you help me solve for #1 please?

Answers

Answer:

x = 15

It is a Pythagorean triple.

Step-by-step explanation:

1.

a² + b² = c²

9² + 12² = x²

81 + 144 = x²

x² = 225

x = 15

The three numbers, 9, 12, 15 do form a Pythagorean triple since they are integers.

The bearing of a point K from a point L is 084 degrees. What is the bearing of L from K

Answers

Answer:

if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree

The bearing of a point L from a point K is 264 degrees.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The bearing of a point K from a point L is 084 degrees.

Now,

Since, The bearing of a point K from a point L is 084 degrees.

Hence, The bearing of a point L from a point K = 180° + 84°

                                                                         = 264°

Thus, The bearing of a point L from a point K is 264 degrees.

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can anyone help me with this problem? Please it would be great.

Find the missing side of the triangle.

Answers

Answer:

[tex]\displaystyle 45 = x[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 36^2 + 27^2 = x^2 \hookrightarrow 1296 + 729 = x^2 \hookrightarrow \sqrt{2025} = \sqrt{x^2} \\ \\ \boxed{45 = x}[/tex]

I am joyous to assist you at any time.

How much would you have after 4 years if you invested $1250 with a quarterly compounding interest rate of 5%?

Answers

Using compound interest, it is found that you would have $1524.86.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.

In this problem, we have that the values of the parameters are given by: P = 1250, r = 0.05, n = 4, t = 4. Hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(4) = 1250\left(1 + \frac{0.05}{4}\right)^{4 \times 4} = 1524.86[/tex]

Tou would have $1524.86.

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find the value of x

Answers

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]

A (2, 2)
b (0,3)
c (2, 4)
rhombus abcd has the coordinates listed. find the coordinates of point d.
es )
a)
)
(4.3)
b)
(3,4)
c)
(3.3)
d)
(4.4)

Answers

Answer:

I think its 3,4 maybe

Step-by-step explanation:

try it out but I'm not sure

change 1.77 tones to kilograms

Answers

Answer:

1770

Step-by-step explanation:

multiply the mass value by 1000

that is the easy way

Leyla is redecorating her living room. The room is in the shape of a right rectangular prism. The dimensions of the room are 15 feet in length by 10 feet in width by 8 feet in height.
She plans to cover the floor with hardwood. The cost of the hardwood is $3 per square foot. She plans to cover the walls and the ceiling with paint. Each container of paint costs $30 and can cover 275 ft².
What is the total cost of the hardwood flooring and paint needed for this room?


Drag and drop the responses to correctly complete these sentences.

Answers

Answer:

Total floor: 150 sq ft = $450

Wall and Ceiling: 550 sq ft = $60

Total cost $510

Step-by-step explanation:

Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft

150 sq ft * $3 = $450

Walls: 2(H * L) = 2(8*15) = 240 sq ft

2(H * W) = 2(8*10) = 160

Total walls sq ft = 400 sq ft

Ceiling is same as floor = 150 sq ft

Total sq ft painted = 550 sq ft

550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60

$450 floor + $60 paint = $ 510

Answer:

$510

Step-by-step explanation:

The floor of the room measures 15 ft in length and 10 ft in width.

The area of the floor is length × width = 15 ft × 10 ft = 150 ft².

The hardwood costs $3/ft².

The cost of the hardwood is: $3/ft² × 150 ft² = $450

The area of the walls is the lateral surface area of the rectangular prism.

The lateral surface area of the rectangular prism is the perimeter of the base times the height.

perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft

height = 8 ft

lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²

The paint costs $30/(275 ft²).

She needs to paint 400 ft².

400 ft² / 275 ft² = 1.45

She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.

Cost of paint: 2 × $30 = 60

Total cost of hardwood and paint = $450 + $60 = $510

Jax is surveying the number of children in restaurants. One restaurant has 7 children and a total of 42 customers. The next restaurant has 60 customers. Based on his survey, how many can he predict will be children?
A. 25
B. 10
C. 360
D. 5​

Answers

Answer:

B is the correct answer

Step-by-step explanation:

42/7 = 6

60/6 =10

She says that the coffee cup fountain actually holds about 400 gallons of coffee.
The newscaster claims that if the coffee fountain really broke, the 400 gallons of coffee would cover the
equivalent of half a city block.
You look up some information.
• One gallon of water covers about 13.8 square feet.
• Near the mall, an average city block is about 300 feet by 300 feet.
Assume the fountain holds 400 gallons of coffee. Using the information given, determine whether the
newscaster's claim is correct.
• Construct an argument that supports or refutes the newscaster's claim.
Include mathematics to support your argument.

Answers

https://www.perfection-events.com/content/back-basics-coffee-essentials

Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.

What is the area of the city block?

The area of the city block is calculated from the product of the dimensions provided:

The city block is in form of a square, hence it's area = side × side

Dimension of city block = 300 feet by 300 feet.

Area of city block = 90000 square feet

Half of area of city block = 45000 square feet

1 gallon covers 13.8 square feet

400 gallons will cover = 400 × 13.8 = 5520 square feet

The area 400 gallons of coffee will cover is less than 45000 square feet.

Therefore, the news caster's claim is wrong.

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A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?

Answers

The probability that one is selected is the likelihood

The probability that one is selected at least once is 0.704

How to calculate the probability?

The sample space is given as:

S = {1,2,3}

The probability that 1 is not selected at all is:

P'(None) = 2/3

The probability that one is selected at least once is calculated using the following complement rule

P(At least once)  = 1 - P(None)^3

This gives

P(At least once) = 1 -(2/3)^3

Evaluate

P(At least once) = 0.704

Hence, the probability that one is selected at least once is 0.704

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Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?

Answers

By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.

How to get the area of the rectangle?

For a rectangle of length L and width W, the area is:

A = L*W

And the perimeter is:

P = 2*(L + W).

In this case, we know that the length is 5ft longer than the width, so we can write:

L = W + 5ft

We also know that the perimeter is 50ft, so we can write:

P = 50ft = 2*(W + 5ft + W)

     50ft = 4*W + 10ft

     40ft/4 = W = 10ft

So the width is 10 ft, and then the length will be:

L = 10ft + 5ft = 15ft

So the area of the rectangle is:

A = 10ft*15ft = 150 ft^2

She will need 150 ft^2 of flooring.

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