Find the area of ABC with the side lengths a=8 and b= 12, and the included angle C =84 degrees. Round your answer to the nearest tenth

Answers

Answer 1

Answer:

47.7 square units

Step-by-step explanation:

The area of triangle ABC with two given sides and an inclusive angle =

1/2absinC

Where : a = 8, b = 12, C = 84

Area of Triangle ABC = 1/2 × 8 × 12 × sin 84

Area of Triangle ABC = 47.737050978 square units

Approximately to the nearest tenth = 47.7 square units.

Answer 2

Answer:

47.7

Step-by-step explanation:

yes


Related Questions

For which function is the domain -6 is less than or equal to x less than or equal to -1 not appropriate? A) y=x^2 B) y=2x C) y= 2^x D) √x​

Answers

Answer: idk jus needed the points so im answering

Answer:

Y=sqrt x

Step-by-step explanation:

I literally just know how to look

On two investments totaling $13,500, Peter lost 3% on one and earned 5 % on the other. If his net annual receipts were $319, how much was each investment?

Answers

x = amount of 3% loss investment
y = amount of 5% gain investment

x + y = 13,500 {the two investments total $13,500}
-0.03x + 0.05y = 319 {3% loss on one and 5% gain on other, receipt is $319}

x = -y + 13,500 {subtracted y from each side of first equation}

-0.03(-y + 13,500) + 0.05y = 319 {substituted (-y + 13,500), in for x, into second equation}
0.03y - 405 + 0.05 = 319 {used distributive property}
0.08y - 405 = 319 {combined like terms}
0.08y = 724 {added 405 to each side}
y = 9050 {divided by 0.08}

x = -y + 13,500 {from equation above}
x = -9050 + 13,500 {substituted 9050 in for y}
x = 4450 {added}

The 3% loss investment was $4450
The 5% gain investment was $9050

Help pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

The answer is 3 mark as brainliest

Step-by-step explanation:

3 *3-4*4+2*5

9-16+10

9-6=

3

Answer:

Hey there!

3a-4b+2c

3(3)-4(4)+2(5)

9-16+10

3

Your answer would be 3.

Hope this helps :)

Please may someone answer it,
WORTH 81 POINTS!!!

Answers

Answer:

[tex]\boxed{V = 1436.8 cm^3}[/tex]

Step-by-step explanation:

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 7 cm

Volume of Sphere = [tex]\frac{4}{3} (3.14)(7)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(343)[/tex]

V = 4310/3

V = 1436.8 cm³

Answer:

1436.8 cm^3

Solution,

Radius= 7 cm

Volume of sphere:

[tex] \frac{4}{3} \pi \: {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {7}^{3} \\ = \frac{4}{3} \times 3.14 \times 343 \\ = 1436.8 \: {cm}^{3} [/tex]

Hope this helps...

Good luck on your assignment...

What is the value of x in the equation 2x – 3 = 9 – 4x? –6 –3 1 2

Answers

Answer:

x = 2

Step-by-step explanation:

2x - 3 = 9 - 4x

2x + 4x - 3 = 9

2x + 4x = 9 + 3

6x = 9 + 3

6x = 12

x = 2

Hope this helped! :)

Answer:

2

Step-by-step explanation:

You start of with the equation 2x-3 = 9-4x

Then you bring -4x to the left side, making it 6x-3 = 9

Take the -3 to the right, 6x = 12

Lastly divide 12 by 6

A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?

Answers

Answer: 0.20

Step-by-step explanation:

As per given :

P(student enrolled in a math class ) = 65% = 0.65

P( student enrolled in a science class) = 43%= 0.43

P( student enrolled in both ) = 13% = 0.13

Formula of conditional probability :

[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]

Using the above formula,

The probability that the student is enrolled in a science class given that he is enrolled in maths class :

[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]

Hence, the probability that the student is also enrolled in a science class =  0.20 .

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. H represents the height of the tree (in centimeters), t years since Renata moved in. H =210 + 33t How fast does the tree grow?

Answers

Answer:

The tree grows 33cm per year.

Step-by-step explanation:

In △EKL, m∠K = 90º, m∠E = 25º, EK = 3 cm, KH - altitude. Find EH.

Answers

Answer:

EH = 3.31

Step-by-step explanation:

We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.

Where,

EK = Base = 3

KH = perpendicular altitude

EH = Hypotenuse

m<K = 90

m<E = 25

We know that

cosθ = Base/ Hypotenuse

cos 25 = 3/ EH

EH = 3/cos25

EH = 3.31

Perpendicular alitutude can also be calculated by using the formula for tanθ.

give your answer as a mixed number
4 3/7 - 2 5/7
get brainliest urgent plz help

Answers

Answer:

[tex]1\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]4\frac{3}{7} -2\frac{5}{7}[/tex]

Step 1. Simplify left side 4*7+3 , Right Side 2*7+5

[tex]=\frac{31}{7} -\frac{19}{7} = \frac{12}{7}[/tex]

Step 2. Re-write 12/7 as mixed number

[tex]\frac{12}{7} = 1\frac{5}{7}[/tex]

pls answer this ill mark as brainliast

Answers

Answer:

A decrease of 9.2% is 1 - 0.092 = 0.908. 0.908 * 721.45 = 655.08.

Answer:

721.45 x 9.2% = 721.45 x 0.092 = 66.37

so 66.37 is the discount

721.45 - 66.37 = 655.08

So 655.08 is the discounted price

655.08 is the answer

Hope this helps

Step-by-step explanation:

A hobbyist is making a toy sailboat. For the triangular sail, she wants the height h (in inches)
to be twice the length of the base b (in inches). Can the area of the sail be 10 inº?

Answers

Answer:

xx

Step-by-step explanation:

solve for x 3x+3+=12 1. 6 2. 5 3. 4 4. 3

Answers

Answer:

4.(3)

Step-by-step explanation:

3x+3 = 12

Subtract 3 to both sides.

3x = 9

Divide the left side by 3, then divide the right side by 3

x = 3

Answer:

Hi! your answer should be D. 3

Step-by-step explanation:

1. 3x+3=12

-3 -3

2. 3x=9

÷3 ÷3

3. x= 3

[So, your answer should be D. x=3]

Hope this helps!

HELP NEEDED PLS HELP! THANK YOU Use the fundamental theorem of algebra to state all the possible roots of the function f(x)=2x^3+3x^2-4x-12 Can someone please show me how to do it

Answers

Answer:

x=2   (−∞,∞)

Step-by-step explanation:

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y  with  0  and solve for  x

Hope this helps (sorry if it's confusing)

Answer:

x = 1.71282

Step-by-step explanation:

2x^3+3x^2-4x-12

2 x³ + 3 x² - 4x - 12 = 0

x = 1.71282

see attachment.

What is the length of the y-component of the vector shown below? A. 77.3 B. 15.0 C. 20.7 D. 21.4

Answers

Answer:

[tex]y = 20.7[/tex]

Step-by-step explanation:

Given

The figure above

Required

Calculate the y component

Represent the y component with y, the resultant vector with s and the angle with [tex]\theta[/tex]

The y component of a vector (as it is, in this case) is calculated as thus;

[tex]sin\theta = \frac{y}{s}[/tex]

[tex]Where\ \theta = 15\\ s = 80[/tex]

Substituting these values in the equation

[tex]sin\theta = \frac{y}{s}[/tex] becomes

[tex]sin\ 15= \frac{y}{80}[/tex]

Multiply both sides by 80

[tex]80 * sin\ 15= \frac{y}{80} * 80[/tex]

[tex]80 * sin\ 15= y[/tex]

[tex]80 * 0.2588190451= y[/tex]

[tex]20.705523608 = y[/tex]

[tex]y = 20.705523608[/tex]

[tex]y = 20.7[/tex] (Approximated)

In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
O a = 3
O a = 8
O a = 18
O a = 33

Answers

i believe it’s 18 because +5so, m= 13 + 5 = 18

The table to represent a linear function with a rate of change of +5

So, m = 13 + 5 = 18

a = 18

What is linear function?

The slope-intercept pattern of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept.

The graph in the table shows a linear function.

The linear function's general equation is written as y = ax+b, where a is the slope and b is a constant.

Finding the linear function's equation by using the first and third points from the table

at x = 3  ⇒ y = 13   and   at x = 5 ⇒ y = 23

13 = 3a+b → (1)

23 = 5a+b → (2)

solve (1) and (2) to find a and b

So,  a = 5  and b = -2

∴ y = 5x - 2

After that by substitution with x = 4 int the equation of y

∴ y = 5*4-2 = 18

m= 18

Thus, option C is correct.

For more information about linear function, click here:

https://brainly.com/question/20286983

#SPJ7

plzzzzz answer this question about density mass and volume!!!!!!!!!

Answers

Answer:

13.896 kg

Step-by-step explanation:

You can find the mass of the bar by first finding the volume.

V = BH

where B = area of the base (the trapezium), and

H = height (distance trapezium between bases)

The area of a trapezium is

A = (b1 + b2)h/2

where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and

h = the altitude of the trapezium (distance between the bases of the trapezium)

V = (b1 + b2)h/2 * H

V = (12 cm + 6 cm)(5 cm)/2 * 16 cm

V = 720 cm^3

The volume of the bar is 720 cm^3.

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 19.3 g/cm^3 * 720 cm^3

mass = 13,896 g

Now we convert grams into kilograms.

1 kg = 1000 g

mass = 13,896 g * (1 kg)/(1000 g)

mass = 13.896 kg

Answer: 1.3896 kg

Find the common difference for the sequence shown.
56, 49, 42, 35, ...
0-12
0-7
07

Answers

To find the common difference, subtract all the numbers in order.

56 - 49 = 7

49 - 42 = 7

42 - 35 = 7

Therefore, common difference is 7.

Best of Luck!

Answer:

The answer is -7

(got this answer right on the lesson)

Step-by-step explanation:

[tex]\frac{y}{23}[/tex]− 226 = –207

y = _______

Answers

Answer:

y=437

Step-by-step explanation:

Move all terms not containing  y  to the right side of the equation.

Add  226  to both sides of the equation.

y/23=−207+226

Add  −207  and  226.

y/23=19

Multiply both sides of the equation by  23.

23⋅y/23=23⋅19

Simplify both sides of the equation.

Cancel the common factor of  23.

cancel out the common factors

23⋅y23=23⋅19

Rewrite the expression.

y=23⋅19

Multiply  23  by  19.

y=437

dont forget to give me brainliest

x^2 + 20x + 28 = 9 find the graphing/vertex form

Answers

Answer: [tex](x+10)^2+119=0[/tex]

Step-by-step explanation:

For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.

The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]

Subtract 9 from both sides

[tex]=x^2+20x+19=0[/tex]

compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides

b= 20

[tex]x^2+20+100+19=-100[/tex]   [(b/2)²=20/2=10]

[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]

[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]

So, the vertex form : [tex](x+10)^2+119=0[/tex]

witch expression is equivalent to 10-8​

Answers

Answer:

2

Step-by-step explanation:

=> 10-8

=> 2 (Equivalent Expression)

Dan must choose a shirt, a pair of pants, and a cap for today's outfit. He has 2 shirts, 2 pairs of pants, and 3 caps to choose from. How many different outfits can he make?

Answers

Answer:

12 different outfits

Step-by-step explanation:

2 x 2 x 3 = 12 outfits.

Answer:

12

Step-by-step explanation:

He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:

2 * 2 * 3 = 12 outfits

Answer ASAP In the given diagram, ∠4 = 45°, ∠5 = 135° and ∠10 = ∠11 Part A: Solve for the values of the remaining angles. Show all of your work. Part B: Use complete sentences to describe the angle relationship between the following angle pairs: 1. ∠4 and ∠1 2. ∠7 and ∠5 3. ∠9 and ∠10

Answers

Answer:

A) ∠9 = ∠10 = ∠11 = ∠12  = 90°

∠2 = ∠3 = ∠5 = ∠8 = 135°

∠1 = ∠4 = ∠6 = ∠7 = 45°

B) 1. ∠4 and ∠1 -> vertical angles

2. ∠7 and ∠5 -> supplementary

3. ∠9 and ∠10 -> supplementary

Step-by-step explanation:

Data

∠4 = 45°∠5 = 135°∠10 = ∠11

The following are vertical angles, so they are congruent:

∠1 ≅ ∠4

∠3 ≅ ∠2

∠11 ≅ ∠9

∠10 ≅ ∠12

∠7 ≅ ∠6

∠5 ≅ ∠8

From here and data, it is deduced that

∠11 ≅ ∠9 ≅ ∠10 ≅ ∠12

From the picture, the addition of them is equal to 360°, then:

∠11 + ∠9 + ∠10 + ∠12 = 360°

4*∠11 = 360°

∠11 = 360°/4

∠11 = 90° = ∠10 = ∠9 = ∠12

∠2 and ∠4 are supplementary, then:

∠2 + ∠4 = 180°

∠2 = 180° - 45°

∠2 = 135°

∠7 and ∠5 are supplementary, then:

∠7 + ∠5 = 180°

∠7 = 180° - 135°

∠7 = 45°

Answer:

Started learning this today and this made a lot easier

In how many ways can a committee of size 5 be formed from 11 people? Assume that, when people are chosen for a committee, the order of the choices does
not matter.

Answers

Answer:

462 ways

Step-by-step explanation:

The functions f(x) and g(x) are shown on the graph.
Rx) = x²
What is g(x)?

Answers

It’s a flip of the graph on the x-axis

Therefore f(x) = - x^2 (NOT IN PARENTHESIS that would be a reflection on the y axis)

It’s a shift 4 y values down therefore

g(x) = - x^2 - 4

During the recent recession, Bob's home value dropped to only $175,000. Since then the economy has turned around and the market is improving at a rate of 4.5% annually. At this rate, how much will Bob's home be worth 12 years after the market started improving? And what equation did you use?

Answers

Answer:

Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Step-by-step explanation:

Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]

market is improving at 4.5% annually.

This, means that the value of house gets appreciated by 4.5% each year from its previous year value.

This is a problem of compound interest formula

[tex]FV = PV(1+r/100)^n[/tex]

where PV is the present value of any thing

FV is the future value

r is the annual rate of interest

t is the time in number of year for which rate is applicable.

_____________________________________

Given

PV = $175,000.

r = 4.5%

t = 12 years

Value after 12 year will be given by

[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]

Thus, Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

plz help me do this i will help u if i know

Answers

Answer:

77

Step-by-step explanation:

2+3+5+7+11+13+17+19=77

explain the words and the connections of population ,area, urban,and density

Answers

Answer:

Step-by-step explanation:

In this sense "area" refers to a geographical area in which people may or may not live; any "population" refers to the group of people living in a specific area.  We might discuss the "population" of the "Los Angeles area," which refers to people living within the geographic boundaries of the City of Los Angeles.

"Urban" characterizes a given area where the land is thickly settled with human residents (as opposed to open, commercial or rural land).  Most of the area within the boundaries of "Los Angeles" are "urban."

"Density" refers to "population density," defined as the number of people per square mile (or other measure of area); as an example we might refer to the population density of the City of Los Angeles, and that reasure might be in the area of "246,000 residents per square mile."

Answer:

Search the words up on google and it will explain better then me

Step-by-step explanation:

Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that
represents Angelo's second cut.

Answers

Answer:

The correct option is A

A) y = (1/5)x + 6

Step-by-step explanation:

The equation of the first cut shown in the graph is:

y = (1/5)x - 1

We know that a general form of linear equation is given as:

y = mx + c

Comparing both equations, we get that the slope m = 1/5

As the second cut is parallel to the first cut, it will have the same slope, that is m = 1/5

Substitute it in the general linear equation

y = mx + c

y = (1/5)x + c

We know that this equation passes through the point (0,6), substitute it in  the above equation>

6 = (1/5)(0) + c

c = 6

The equation for second cut be found by using m = 1/5 and c = 6

y = mx + c

y = (1/5)x + 6

Need help finding the missing length to the attached triangle.

Answers

Answer:

65 units

Step-by-step explanation:

Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.

Now by geometric mean property:

[tex]h = \sqrt{144 \times 25} \\ h = 12 \times 5 \\ h = 60 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {25}^{2} \\ {x}^{2} = {60}^{2} + {25}^{2} \\ {x}^{2} = 3600 + 625 \\ {x}^{2} = 4225 \\ x = \sqrt{4225} \\ \huge \red{ \boxed{x = 65\: units }}[/tex]

Jacob is painting the walls of his new tiny house. If 3⁄4 of a can of paint is enough to paint 1 / 8of the walls, how much paint does Jacob need to paint all of the walls?

Answers

Answer:

6 cans

Step-by-step explanation:

I used Improper Fractions to solve this question.

3/4 is enough to paint 1/8

Therefore we can multiply 3 by 8 to calculate how much paint is required for the whole wall.

3 * 8 = 24

24/4 = 6

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