AB = 3.2 cm
BC= 8.4 cm
The area of triangle ABC is 10 cm²
Calculate the perimeter of triangle ABC.
Give your answer correct to three significant figures.​

AB = 3.2 CmBC= 8.4 CmThe Area Of Triangle ABC Is 10 CmCalculate The Perimeter Of Triangle ABC.Give Your

Answers

Answer 1

Answer:

Therefore, perimeter of the given triangle is 18.300 cm.

Step-by-step explanation:

Area of the triangle ABC = [tex]\frac{1}{2}(\text{AB})(\text{BC})(\text{SinB})[/tex]

10 = [tex]\frac{1}{2}(3.2)(8.4)(\text{SinB})[/tex]

Sin(B) = [tex]\frac{10}{3.2\times 4.2}[/tex]

B = [tex]\text{Sin}^{-1}(0.74405)[/tex]

B = 48.08°

By applying Cosine rule in the given triangle,

(AC)² = (AB)² + (BC)²-2(AB)(BC)CosB

(AC)² = (3.2)² + (8.4)² - 2(3.2)(8.4)Cos(48.08)°

(AC)² = 10.24 + 70.56 - 35.9166

(AC)² = 44.88

AC = [tex]\sqrt{44.8833}[/tex]

AC = 6.6995 cm

Perimeter of the ΔABC = m(AB) + m(BC) + m(AC)

                                      = 3.200 + 8.400 + 6.6995

                                      = 18.2995

                                      ≈ 18.300 cm

Therefore, perimeter of the given triangle is 18.300 cm


Related Questions

Factorise the following

Answers

Answer:

4ny²+4n²-4n-8+y⁴-2y²

plz help me asap!!!!!
What is the equation of the linear function represented by the table?

x
y
–5
14
–2
11
1
8
4
5
y = negative x + 9
y = negative x + 13
y = x + 13
y = x + 9

Answers

Answer:

It would be y = -x + 9

Step-by-step explanation:

Answer:

Y=-x+9

Step-by-step explanation:

what is the slope for 3y and 5x on a graph?

Answers

y=−53xUsing the slope-intercept form, the slope is −53.m=−53

If paul puts 300 dollars in a saving account that earns 3% interest how much interest will he earn after 2 years?​

Answers

Answer:

[tex] \boxed{18 \: dollars}[/tex]

Step-by-step explanation:

Principal ( P ) = $ 300

Rate ( R ) = 3%

Time ( T ) = 2 years

Now, let's find the simple Interest:

I = [tex] \mathsf {\frac{PTR}{100} }[/tex]

[tex] \mathsf{ = \frac{300 \times 2 \times 3}{100} }[/tex]

[tex] \mathsf{ = \frac{1800}{100} }[/tex]

[tex] \mathsf{ = 18}[/tex]

Extra information:

Simple Interest

In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.

Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.

[tex] \mathsf{ \: simple \: interest \: = \frac{PTR}{100} }[/tex]

On simplifying

[tex] \mathsf{p = \frac{I \times 100}{T \times R} }[/tex]

[tex] \mathsf{t = \frac{I \times 100}{P \times R} }[/tex]

[tex] \mathsf{r = \frac{I \times 100}{P \times T}} [/tex]

And from the definition,

Amount ( A ) = Principal ( P ) + Interest ( I )

Principal ( P ) = Amount ( A ) - Interest ( I )

Interest ( I ) = Amount ( A ) - Principal ( P )

Hope I helped!

Best regards!

Answer:$18

Step-by-step explanation:3% of $300 is $9.$9 is the interest of 1 year so the interest of 2 years is 2 multiplied by 9 which is $18.

HElp Please its Pre-Calculus Matrix

Answers

The determinant is C. -541.

Using a cofactor expansion along the first row:

[tex]\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}[/tex]

There were 96 people in a queue to get into a fun fair. There were at least
4 children between any 2 adults.
What was the largest possible number of adults in the queue?​

Answers

Answer:

32 adulta

Step-by-step explanation:

96÷6 = 16 number of families

now we need to see how many adults there are in 16 families.

and the number is 32 adults.

Answer:

32 adults.

Step-by-step explanation:

At the very least, there are 4 children for every 2 adults. That means that, at the very least, there are 6 people in one group to get into the fun fair.

96 / 6 = 16

So, there are 16 groups trying to get into the fun fair, with 2 adults in each group. 2 * 16 = 32 adults are in the queue.

Hope this helps!

Solve for x. 7x+38=45

Answers

Answer:

x=1

Step-by-step explanation:

subtract 38 from both sides:

7x=7

divide both sides by 7 to isolate x:

x=1

HOPE THIS HELPS!!!! :)

6.7 more than 5 times a number is 20

Answers

Subtract 6.7 from 20. This is 13.3. Divide 13.3/5 is 2.66. That is the answer

Answer:

the number is 2.66

Step-by-step explanation:

[tex]6.7+5x=20[/tex]

Step 1. Subtract 6.7 from both sides

[tex]5x=20-6.7[/tex]

[tex]5x=13.3[/tex]

Step 2. Isolate the variable

[tex]\frac{5x}{5} =\frac{13.3}{5}[/tex]

[tex]x=2.66[/tex]

The number is 2.66

if the sum of two angles is 200 grade and their difference is 20 degree. Find the angle?​

Answers

Step-by-step explanation:

Formulate an equation to solve for this one.

- I did x+x-20= 200

x represents the larger angle between the two triangles.

x-20 represents the smaller triangle which the problem states is 20 degrees smaller.

- if you solve the equation I gave you above you will get your answer. x= 110

your angles should be 110 and 90. You can check by adding those numbers which will equal to 200.

Hope this helps!

Select the correct answer. Which triangles in the diagram are congruent? A. triangle 1 and triangle 2 B. triangle 1, triangle 2, and triangle 3 C. triangle 1 and triangle 3 D. triangle 1, triangle 3, and triangle 4

Answers

Answer:

Triangle 1 and 3

Step-by-step explanation:

Based on a Congruent rule Side angle side :

In triangle 1 and triangle 3 are congruent by side angle side .

Therefore, the answer is triangle 1 and triangle 3.

Answer:

C.

Step-by-step explanation:

I got it right on Plato

Stephanie is helping her band collect money to fund a field trip. The band
decided to sell boxes of chocolate bars. Each bar sells for $1.50 and each
box contains 20 bars. Which equation represents the profit they will earn
for each box sold? *
O p = 20 - $1.50
O p= 20 + $1.50
O p = 20 ($1.50)
O p = 20/$1.50
5.How much profit will be made if they sell 100 boxes?

Answers

Answer:

O P=20($1.50)

They will make $3,000 if they sell 100 boxes of chocolates

Step-by-step explanation:

It is multiplication because it is $1.50 per each chocolate bar, and since there is 20 per box, we need to find the profit for the entire box

using that info, we find that each box of chocolates is 30 dollars

multiplied by 100 boxes is $3000.

find the slope and y intercept

Answers

Answer:

slope = -1

y intercept (0,-2)

Step-by-step explanation:

We can use the two points to find the slope

(-4,2) and (1,-3)

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

    = (-3 -2)/(1 - -4)

   = -5 /(1+4)

   = -5/5

 - 1

The y intercept is where it crosses the y axis

y intercept is (0,-2)

You have this information about ΔABC, ΔFDE, and ΔGIH:

AB = DF

AB = GI

BC = HI

DE = HI

m∠B = m∠D = m∠I

Which triangles must be congruent?

Answers

The triangle ABC, triangle FDE, and triangle GIH are congruent with each other.

What is a triangle?

Three sides and three internal angles define a triangle, a basic shape. The symbol is used to represent one of the geometric shapes in which the three corners are connected to one another. Triangles are categorized according to their sides into numerous different forms.

As per the given data in the question,

Sides AB = DF, AB = GI, BC = HI, and DE = HI are equal to each other.

Also, the angles, m∠B = m∠D = m∠I are equal.

Then by the property of the side angle side all the triangles are congruent with each other.

To know more about Triangle:

https://brainly.com/question/2773823

#SPJ3

Answer:

A.  ΔABC, ΔFDE, and ΔGIH

help me solve please

Answers

Answer:

D) 16+4√2

Step-by-step explanation:

If the area of the triangle is 8, we use 1/2bh to find it.  Since b and h are the same on this triangle, we find that 8=1/2(4)(4)

Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4.  We just need to find the bottom of the parallelogram to know the perimeter.  It’s the same as the hypotenuse of the right triangle.

4²+4²=c²

16+16=c²

32=c²

c=√32  Now we have all 5 sides.

4+4+4+4+√32

16+√32

16+4√2

5. Eight adults and six children travel in a cable car.
Estimate the total mass of the people in the cable car.​

Answers

Answer: 1880 pounds

Step-by-step explanation: when you take the average adult weight, around 160 lbs. you multiply that by eight. you get 1280. then you estimate that each of the children weigh around 100 lbs, then you add 600 to 1280 and get 1,880 lbs

HELP
Chelsea can paint a fence in 9 hours, and Greg can paint the same fence in 7 hours. How long does it take them to paint the fence if they work together? Round to
the nearest tenth

Answers

Step-by-step explanation:

since Chelsea can paint in 9hrs and Greg in 7, add the hrs and divide by 2 i.e (9+7)/2 =8 hrs

~10 hrs

MARK AS BRAINLIEST PLEASE

Consider these four statements about a line that passes through two points on a plane.
Statement A: The lines on a different plane from the points.
Stament B: The line lies in only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.


Which statement is true? ​

Answers

Answer:

4

Step-by-step explanation:

Use the grouping method to factor x3 + x2 + 2x + 2.

Answers

[tex] x^3+x^2+2x+2[/tex]

$x^2(x+1)+2(x+1)=(x^2+2)(x+1)$

Answer:

Step-by-step explanation:

x³ + x² + 2x + 2 = x²(x + 1) + 2(x+1)

                        = (x + 1) (x² + 2)

Write the equation of the circle in standard form with the center located at
(-2, 5) and radius of 3.

Answers

Answer:

(x+2)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -2)^2 + (y-5)^2 = 3^2

(x+2)^2 + (y-5)^2 = 9

If d-1/d=6 evaluate d+1/d​

Answers

[tex]{ \boxed{\boxed{\begin{array}{cc} \maltese  \bf \: given \: \\ \\ \rm \: d - \frac{1}{d} = 6 \\ \\ \bf \: now \\ \\ \rm {(d + \frac{1}{d} })^{2} = ( {d - \frac{1}{d} })^{2} + 4 \times d \times \frac{1}{d} \\ \\ = {6}^{2} + 4 \\ \\ = 36 + 4 \\ \\ = 40 \\ \\ \rm \: d + \frac{1}{d} = \pm \sqrt{40} \end{array}}}}[/tex]

Find n. A. 5 B. 5√3 C. 10 D. 10√3/3

Answers

Answer:

Option A

Step-by-step explanation:

Using trigonometry ratios

tan∅= opp/adj

tan 30°=n/(5√3)

1/√3 = n/(5√3)

n = (5√3)/√3

n = 5

A 2 inch by 2 inch square has its area increased by 21 square inches producing a new square. How many inches long is a side of the new square?

Answers

Answer:

A 2 by 2 inch square has an area of 4 square inches.

If its area is increased by 21 inches, then its area equals 25 square inches.

To find the length of the side we take the square root of 25 square inches which is 5 inches.

Step-by-step explanation:

What is the value of x?
26°

O
x
= [?]

Answers

Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

please click thanks and mark brainliest if you like :)

a store charges 25 cents for each ruler and 5 cents for each penicl that it sells. if sarah bought r, rulers and p penicls from the store, which of the following repersents the amount, in cents, that the store charged her?

Answers

Answer:

Total=(0.25(p))+(0.05(r))

replace the letter value with the # of items and solve using equation

Acellus, Inscribed Angles
Find the value of y.
x
120°

Answers

Answer:

[tex]y=60\textdegree[/tex]

Step-by-step explanation:

The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.

Therefore, [tex]y=\frac{1}{2} *120\textdegree = \bf 60\textdegree[/tex]. Hope this helps!

If f(x) = 2x - 4, then prove that, (f-1of)(x) is an identify function.

it's a optional mathematics Questions please solve him​

Answers

Answer:

f(x)=2x-4

f(1)=2(1)-4

=2-4

f(1)=-2

K = 3x + 8 and m M = x + 12, find the m K. How do I solve?

Answers

Answer:

Step-by-step explanation:

3(m-12)+8

x=m-12

Find the coordinates for the function,

1.) f(x)=-2(2.5)

2.) f(x)= 4(1.5)

Answers

Answer: 1: Slope 0   Y- Intercept -5

2: Slope 0    Y- Intercept 6

Step-by-step explanation:

What is the axis of symmetry for y = 3x^2 + x - 2

Answers

Axis of Symmetry:
x= -1/6

When writting a equation how do you know where to put the equal sign?

Answers

The dividing point between the sides is the equal sign. Standard equations are in the form of operations equal an answer (e.g., 2 + 4 = ___; 2 + 4 = 6; 2 + 2 + 2 = 6). As the equation is read left to right, the equal sign is always in the second-to-last position, and the answer is after the equal sign.
Other Questions
Hampton Company reports the following information for its recent calendar year.Income Statement Data Selected Year-End Balance Sheet DataSales $ 160,000 Accounts receivable increase 10,000 Expenses Inventory decrease 16,000 Cost of goods sold 100,000 Salaries payable increase 1,000 Salaries expense 24,000 Depreciation expense 12,000 Net income $ 24,000 Required:Prepare the operating activities section of the statement of cash flows for Hampton Company using the indirect method. What happens to the oxygen released during photosynthesis ? Victor owes a total of $44.00 to 4 different friends. If Victor owes each friend an equal amount, whichanswer choice represents the change in Victor's money when he pays one friend? Please help me on this question Ratio analysis:___________. a) Includes estimating the net present value of the investment opportunity. b) Is generally adequate to fully assess an investments expected return. c) Requires cash flow estimates for the investments entire expected holding period. d) Serves as an initial evaluation of the adequacy of an investments expected cash flows. The gap between the actual quantity produced by a monopolistically competitive firm and the optimal quantity in a competitive market is known as Two long, parallel conductors, separated by 11.0 cm, carry currents in the same direction. The first wire carries a current I1 = 3.00 A, and the second carries I2 = 8.00 A.(a) What is the magnetic field created by I1 at the location of I2?(b) What is the force per unit length exerted by I1 on I2?(c) What is the magnetic field created by I2 at the location of I1? 2- _____ he ride e bicycle at the age of 3? No, he _____ But he ____ ride a tricycle.a) Can/ can't/ canb) Could/ can't/ couldn'tc) Could/ couldn't/couldd) Can't/can't/ could3- Martha could draw pictures when she ____ 5.a) isb) werec) ared) was4- Jssica ____ wear that dress as she ____ too fat.a) can't/ isb) can/ wasn'tc) could/ wered) couldn't/isn't5- He was very sad because he _____ eat his Ice cream.a) couldb) canc) couldn'td) can't6- My dog is looking for its bone but it ____ find it.a) couldn'tb) canc) couldd) can't calculate the number of moles equivalent to 12.7 gram of iodine molecule what are Pre-Exilic prophets ? In "The Three Brass Pennies," how does Ah Fos decision to free the bee caught in the spider web affect the magician? He learns that, like Ah Fo, most people would rather help others than help themselves. Ah Fos kindness forces the magician to pay Ah Fo for rescuing the bee from danger. Ah Fos act breaks a spell placed on the magician and saves him from future threats. He and Ah Fo begin working together to make the world a better place for humanity. Would someone help me rewriting these sentences correctly. Thank you. help me Q3/ Put True or false in front of the following statements: 1- You can use the Goal seek feature available by clicking on the data what-if analysis-> Goal Seek. 2- The equations in matrix form [X]-[A] [b]. 3- The A B matrix will be 2 3 ,where A is 2*3 and B is 3*3.. 4- The command of inverse is +minverse(arry1...arry2). 5- The (By Changing Cells) box should contain the location of the decision variables for the problem. An in shuffle is a perfect shuffle on a standard deck of 52 playing cards that splits the deck in half, then interleaves cards starting with the top half.Required:a. What is the position of the first card after the 7th shuffle?b. How many times must one perform the shuffle so that the top card becomes the bottom card?c. When do the first and last cards in the deck touch? 3. What were Charles Darwin's contributions to scientific thought? 4. What were Herbert Spencer's contributions to philosophy? Wich rank on Braily is needed to write direct messages?I'm curious, so far the system just says to write more answers. Seems not very transparent to be honest. Maybe even manipulating. prove that 2^n+1>(n+2).sin(n) What is the coefficient of the variable in the expression 2 - 5x 4 + 8? a-5b-42d8 9.2 x 6.07 please answer with the way how you are doing What is a good strategy to use when a client denies personal problems