Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC

Given: ABC, MA=60,mC=45, AB=9Find: Perimeter Of ABC,Area Of ABC

Answers

Answer 1

Answer:

Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units

Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units

Skills required: HS Geo, Special Triangles

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

This states that if the side opposite the 30 degree angle is [tex]x[/tex], the side opposite the 60 degree angle is [tex]x*\sqrt3[/tex], and the side opposite the 90 degree angle is [tex]2x[/tex].

AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

This states that if the side opposite the 45 degree angle is [tex]x[/tex], the other side opposite a 45 degree angle is also [tex]x[/tex], but the hypotenuse (side opposite the right (90 degree) angle) is [tex]\sqrt{2}*x[/tex].

BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].

4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is

[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!

5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit

Given: ABC, MA=60,mC=45, AB=9Find: Perimeter Of ABC,Area Of ABC
Given: ABC, MA=60,mC=45, AB=9Find: Perimeter Of ABC,Area Of ABC

Related Questions

What is 2+6 100 points the answer is 8 right?

Answers

Answer:

yes it is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

8

I need help with this question

Answers

Answer:

2√14m

Step-by-step explanation:

Hypothenus = 9m

Second side = x

third side = 5m

Using Pythagoras theorem

9² = x² + 5²

81 = x² + 25

x² = 81 - 25

x² = 56

x = √56

= √4 × √ 14

= 2√14m

Triangle P is rotated 180° about (0, 0) to give triangle Q. Triangle Q is translated by 5 2 to give triangle R. (a) Describe fully the single transformation that maps triangle P onto triangle R.

Answers

Answer:

  (x, y) ⇒ (-x +5, -y +2)

Step-by-step explanation:

Rotation 180° is described by ...

  (x, y) ⇒ (-x, -y)

Translation right 5 and up 2 is described by ...

  (x, y) ⇒ (x +5, y +2)

The two transformations together that map P to R are described by ...

  (x, y) ⇒ (-x +5, -y +2)

30 POINTS
A fabric paint manufacturing company fills the paint in containers using a machine. The amount of paint in a container follows a normal distribution with a mean of 99 ml and a standard deviation of 5 ml. What is the probability that the quantity of paint filled is less than 100 ml? A) 0.28 B) 0.42 C) 0.58 D) 0.92

Answers

Answer:

The correct answer is C) 0.58

Step-by-step explanation:

All this is from USATESTPREP:

The function normCdf(x0, x1, , ) gives the probability that a value drawn from a normal distribution with mean and standard deviation lies in the interval [x0, x1].As the normal distribution is symmetric, the probability that a value is less than the mean is exactly 0.5P(x ≤ 100) = P(x < 99) + P(99 ≤ x ≤ 100)= 0.5 + normCdf(99,100,99,5) = 0.5793Rounded to the nearest hundredth, the probability that a container is filed with less than 100 ml is 0.58.

1 half times 2 / 6 times six plus four​

Answers

[tex] \bold{answer \: \: \to} \\ 1\frac{1}{2} \times \frac{2}{6} \times \frac{6}{1} + 4 = \\ = \frac{3}{2} \times \frac{1}{3} \times \frac{6}{1} + 4 \\ = \frac{3}{6} \times \frac{6}{1} + 4 \\ \ = \frac{18}{6} + 4 \\ = 3 + 4 \\ = \boxed{ \bold{7}}[/tex]

My mom gave me 5 dollar and I had 6 dollar and my dad gave me 8 dollar how much money I have?/

Answers

Answer:

19

Step-by-step explanation:

You had 6 dollars and your mom gave you 5. 6 + 5 = 11.

You dad gave you 8 dollars.

11 + 8 = 19

Answer:

19 dollars

Step-by-step explanation:

5+6+8=19

If you started off with 6 dollars and your mom gave you 5 you now have 11. If your dad gave you another 8 on top of the 11 you already had you now have 19.

Pls help me with this

Answers

Step-by-step explanation:

a)

clearly, A and B are mirrored images of each other around the x-axis.

and the equation of the x-axis is simply

y = 0

b)

this is trickier.

first of all, the mirror line is now vertical and not horizontal.

and where is it ? of course, in the middle between A and B.

how many units are there between A and B ?

I am counting 5. so, the middle between them is 2.5 units.

so, let's go e.g. from A 2.5 units to the right (in the direction of B).

where do we end up ? at x = 0.5

and that is also the equation of the vertical line there.

again

x = 0.5

Just gonna attach a picture of the problem so it’s easier

Answers

Answer:

Step-by-step explanation:

Part A

The first thing you have to do is develop a formula for the line.

It goes through (-2,3)

It has a y intercept of (0,-1)

So far what you know is

y = mx - 1

x = - 2

y = 3

3 = m(-2) - 1                  Add 1 to both sides

3 + 1 = (-2)*m

4 = - 2*m                      Divide by - 2

4/-2 = m

m = - 2

The equation of the line is y = -2x - 1

Instead of y, we can use f(x)

f(x) = -2x - 1

Finally we can solve this part of the question.

f(1) = - 2(1) - 1

f(1) = -2 - 1

f(1) = - 3

Part B

f(x) = 5

y = 5

5 = -2x - 1           Add 1 to both sides

5+1 = - 2x           Divide by - 2

6 / -2 = -2x/-2

-3 = x

Plz help me with this question

Answers

Answer:

1422cm²

Step-by-step explanation:

Triangle:

First; 24 x 14 = 336

second: since there is 2 triangle u x 2

so its 672

-------------------------------------------------------------------------------------------------------

Rectangle:

third; 25 x 10 = 250

forth; since there is 3 rectangle u x3

so its 750

last u add all ur answer for triangle and rectangle and u get

-------------------------------------------------------------------------------------------------------------

672 + 750 =

1422cm²

If correct please give brainliest

Stay safe and healthy

Thank You

Ed is on a road trip. He has already traveled 226 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles?

Answers

Answer:

[tex]\purple{\rule{1000pt}{900000pt}} [/tex]

Miles travelled=226Miles to travel=638Speed=66mphHours be x

The equation is

[tex]\\ \sf{:}\Rrightarrow 66x+226=639[/tex]

[tex]\\ \sf{:}\Rrightarrow 66x=413[/tex]

[tex]\\ \sf{:}\Rrightarrow x\approx 6[/tex]

Find an ordered pair (x, y) that is a solution to the equation 3x-y=4

Answers

Answer:

(0,-4)

Step-by-step explanation:

3(0) - (-4) = 4

0 + 4 = 4

help please anybody hmm​

Answers

Answer:

Step-by-step explanation:

The answer would be 6 because you would count the distance like it says!

answer: 6 units

photo to help u visualize using the “bunny hop” method

Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
f(2)=3(x+6)2 - 75
B
f(x) = 3x2 + 36x +33
f(x) = 3(x + 1)(x +11)
Write one of the zeros.
T =

Answers

Answer:

c

Step-by-step explanation:

Rearrange the equation so w is the independent variable. u-5=-4(w-1)u−5=−4(w−1)
w =

Answers

w=(u-9)/-4 should be correct

Answer:

u=−4w+9

Step-by-step explanation:

u−5=−4(w−1)

u=−4(w−1)+5

u=−4w+4+5

u=−4w+9

The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After examining the sea life, they rose 30 meters. Zach thought he saw an octopus, below. They dove again, a distance of 25 meters to watch the eight ‘legged’ sea creature.
a) Write an expression to describe the journey of the yellow submarine. _________________________________

b) At what depth did they stop to look at the octopus? ______________________

Answers

Answer:

20 meters

Step-by-step explanation:

..................

The model below represents an equation. Which value of x makes the equation
true?

Answers

Answer:

1,1,1,1

Step-by-step explanation:

I believe this is right

.
A pie company made 57 apple pies and 38 cherry pies each day for 14 days. How many apples pies does the company make in all?

How many cherry pies does the company make in all show your work ?

Answers

Answer:

798 Apple Pies 57x14

532 Cherry Pies 38x14

Step-by-step explanation:

algebric expressions formula​

Answers

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b

That's all i know- rip TvT

y=2x squared +4x-1 . help me

Answers

Answer:

y = 9/8   for part one of solving y in this equation .

Step-by-step explanation:

Answer:

x=  (√2y+6/2)-1

Step-by-step explanation:

Swap sides so that all variable terms are on the left hand side.

2x^2+4x−1=y

Subtract y from both sides.

2x^2 +4x−1−y=0

Using quadratics formula:

x=-4±√4²-4*2(y-1)/2*2

x=  −4±2√ 2y+6/4

Next solve the equation by using either ± = subtraction or addition

I am using ± = addition. This means I add -4 to 2. From there I simplify equation.

x=  (√2y+6/2)-1

Not sure if this means to find x, but I think this is what it would be.

 

Logan spent $42 to buy 4 basketballs. What was the price per basketball

Answers

Answer:

$10.5

Step-by-step explanation:

$42 for 4 basketballs

price of 1 basketball = 42/4

42/4 = 10.5

-Chetan K

Answer:

10.5 dollars

Step-by-step explanation:

42÷4=10.5

Write an equation for a line if m
3 and it passes through the point (1, -5).

Answers

Answer is B:
y - -5 = 3 (x-1)

ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?.

Answers

The slope of B'C' is 1 and it can be determined by using formula of scale factor.

Given that,

ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.

ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.

We have to determine,

What is the slope of B'C'?

According to the question,

ABC is an isosceles right triangle in which,

Slope of AB = -1

And AB is perpendicular to BC.

When the two lines are perpendicular to each other then,

[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]

ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.

Length of Line segment A'B'= 1.8 × AB

So, the slope of the two-line Segment that is AB and A'B' are the same.

Slope of A'B'= -1

Length of Line segment C'B'= 1.8 × CB

So, the slope of the two lines that is CB and C'B' are the same.

The slope of B'C' is 1.

Hence, The required slope of B'C' is 1.

For more details Slope refer to the link given below.

https://brainly.com/question/8102490

Answer:

Slope of 1

Step-by-step explanation:

C.  1

Which expression is equivalent to −78−(−34)


HELP PLEASE!

Answers

the answer would be D
76-(-34) those two - turn into a plus

it takes a swimmer 72.54 seconds to swim the 100 meter length of the pool going west what was his velocity.

(MUST show work and formula)

Answers

Step-by-step explanation:

Solution

(s) = 100m

(t) = 72.54s

(v) = ??

We have,

v = s÷t

v = 100 ÷ 72.54

v = 1.37 m/s

Hence, the velocity of the swimmer is 1.37 m/s

[this is how I personally have to do it but not sure about you]

WILL GIVE BRAINIEST IF CORRECT

Answers

Jeff bought 1.5 pounds of pork.

1 pound of pork = 3.64
0.5 pounds of pork = 1.82 (divided 3.64 by 2 to find 0.5 pounds of pork)

3.64 + 1.82 = 5.46

Jeff also bought 2.5 pounds each of beer and chicken.

1 pound of beef = 5.99
2 pounds of beef = 11.98
0.5 pounds of beef = 2.995 (5.99 divided by 2)

11.98 + 2.995 = 14.975

1 pound of chicken = 4.79
2 pounds of chicken = 9.58
0.5 pounds of chicken = 2.395

9.58 + 2.395 = 11.975

Add up the total amount of the 1.5 pounds of pork and 2.5 pounds each of beef and chicken.

5.46 + 14.975 + 11.975 = $32.41

Answer:

$32.41

Step-by-step explanation:

Given that:

Amount of pork bought by Jeff = 1.5 pounds

Amount of beef bought by Jeff = 2.5 pounds

Amount of chicken bought by Jeff = 2.5 pounds

Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.

Cost of pork for 1.5 pounds = 1.5  3.64 = $5.46

Cost of beef for 2.5 pounds = 2.5  5.99 = $14.975

Cost of chicken for 2.5 pounds = 2.5  4.79 = $11.975

Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41

A plane travels 460 miles per hour. how many miles does the plane travel in feet per second?

Answers

Answer:

674.667 feet per second

-2a
0b
-2
× -5b
4
× -b

Answers

Answer:

Step-by-step explanation:

Army DA administrative publications and forms by the Army Publishing Directorate APD. The latest technologies high quality electronic pubs and forms view ...

How many solutions does this equation have?
4h + 2 = 2 + 4h

Answers

should be 4

Step-by-step explanation:

10^5 =

easy question​

Answers

[tex] \: \: \: [/tex]

[tex] \pink{100000}[/tex]

step-by-step explanation

[tex] {10}^{5} [/tex]

write the exponentiation as a multiplication

[tex]10 \times 10 \times 10 \times 10 \times 10[/tex]

multiply the number

[tex] = \pink{100000}[/tex]

hope it helps

Answer:

The solution is 100.000

Step-by-step explanation:

10⁵

= 10×10×10×10×10

= 100×10×10×10

= 1.000×10×10

= 10.000×10

= 100.000

Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.

Answers

1. The value of the bond with a market interest rate of 8% is $1,159.71.

2. The value of the bond with a market interest rate of 15% is $899.44.

3. The new value of the bond after 2 years with market interest rate of 8% is  $1,103.08.

4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.

Data and Calculations:

N (# of periods) = 5 years

I/Y (Interest per year) = (A) 8% or  (B) 15%

PMT (Periodic Payment) = $120

FV (Future Value) = $1,000

Results

PV = $1,159.71   and $899.44 for (B)

Schedule at 8% interest rate

Period       PV              PMT             Interest       FV

1            $1,159.71       $120.00       $92.78       $1,132.49

2           $1,132.49       $120.00       $90.60     $1,103.08

3           $1,103.08       $120.00       $88.25      $1,071.33

4           $1,071.33       $120.00        $85.71      $1,037.04

5         $1,037.04       $120.00        $82.96     $1,000.00

Schedule at 15% interest rate

Period       PV              PMT             Interest       FV

1           $899.44    $120.00           $134.92      $914.35

2           $914.35      $120.00           $137.15      $931.50

3          $931.50      $120.00           $139.73      $951.23

4          $951.23      $120.00           $142.68      $973.91

5          $973.91      $120.00           $146.09   $1,000.00

Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123

Other Questions
cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180) Write an exponential function to model each situation. Find each amount after thespecified time.A population of 1,236,000 grows 1.3% per year for 10 years A 0.2 kg baseball with a speed of 48 m/s is struck by a bat. The ball rebounds and travels in the opposite direction at 52 m/s. The ball was in contact with the bat for only 2 ms. Find the magnitude of the force of the bat on the ball. The volume of the triangular prism is 54 cubic units.What is the value of x?03O 5O 793xwhat is the answer Which of the following impacts the heat level of a pepper? What is the value of the expression below when z= 5?5z - 4 George is building a rabbit run in his backyard he makes the length 2/7km and the width 1/5km draw a sketch of his rabbit run and then find the area Lead has an atomic number of 82. Which statement describes all neutral atoms and ions of lead?A) Neutral atoms of lead must have 82 electrons. Ions must have 82 electrons, as well.B)Neutral atoms of lead must have 82 protons, but ions can have more or fewer.c) Neutral atoms of lead must have 82 neutrons, but ions can have more or fewer.D0 Neutral atoms of lead must have 82 protons. Ions must have 82 protons, as well. Please hurry!! This assignment is almost due thank you!! When fluid seeps into the abdominal cavity this is called? The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder? A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square? Which is the graph of the ordered pairs from the table below?X Y3 55 77 99 11 How can I describe my emotions at this castrophe, or he delineate the wretch whom with such infinite pains and care I had endeavored to form? His limbs were in proportion, and I had selected his features as beautiful. Beautiful! Great God! His yellow skin scarcely covered the work of muscles and arteries beneath. What impact does using this detail to introduce Frankensteins feelings about the monster have on the story? Replace the adjectives in bold with their oppositesplease answer this questions in the photo I need hhelp Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides. What did ancient Greek boys learn in school? O reading, vase painting, and philosophy O reading, writing, arithmetic, and music O reading, writing, and papermaking reading, writing, and horseback riding can you help me how to learning english in 30 days ? anything Art History PLEASE HELP ME. Artist:Title:Date/PeriodLocation (if in situ)PLEASE HELP Marilyn has a biweekly gross pay of $810 and claims 3 federal withholding allowances. Marilyn has all of the following deductions from her gross pay: federal tax from the following table Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax Determine how Marilyns net pay will be affected if she increases her federal withholding allowances from 3 to 4. A. Her net pay will increase by $15. 0. B. Her net pay will decrease by $15. 0. C. Her net pay will increase by $18. 15. D. Her net pay will decrease by $18. 15.