In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.

Answers

Answer 1
Using the Law of Sines  (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.

The third angle is C is 180-53-17=110°

27/sin53=b/sin17=c/sin110

b=27sin17/sin53, c=27sin110/sin53

And the perimeter is a+b+c so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units  (to nearest hundredth of a unit)
Answer 2

Answer:

69

Step-by-step explanation:

I got it correct on founders edtell


Related Questions

how close are a meter and a yard? convert 1 meter into yards by using the fact
that there are 100 centimeters in a meter, 2.53 centimeters in a inch, 12 inches in a foot, and 3 feet in a yard.

Answers

1 meter= 100cm

2.53cm=1 inch

12 inches= 1 foot

3 feet= 1 yard

2.53*12*3=91.08

1 yard=91.08cm
1 meter=100cm

1 meter is 8.92cm longer than 1 yard

I hope this helps, if you need more elaboration, just ask

a farmer needs to enclose a section of land in the shape of a parallelogram by using one side of a barn for one side the barn in the side opposite of the barn will be 10 ft long one of the other sides will be 6 feet long what is the length of the last side?

A) 6 feet
B) 16 feet
C) 4 feet
D) 10 feet

Answers

The geometric properties of the parallelogram show that each to opposite side of a parallelogram are parallel and equal in length.
Thus, for this problem:
The first two opposite sides will be 10 ft long and they are also parallel
The third side is 6 ft long
This means that the fourth side will definitely be equal to the third one and parallel to it.
The answer is : A) 6 ft

Answer: C:6

Step-by-step explanation:

I just got it right on the quiz

5 radians is the same as _____.

Answers

There are 2π radians per 360° so

5rad(360°/2π rad)=900/π degrees

That is approximately:

286.48° (to nearest hundredth of a degree) or

286°28'44" (to nearest second)


Answer:

286°28'44

Step-by-step explanation:

A right triangle has legs that are 10.1in and 12.2 in long. What is the approximate length of the hypotenuse?

Answers

a^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
10.1^2 + 12.2^2 = c^2
102.01 + 148.84 = c^2
250.85 = c^2
sqrt 250.85 = c
15.838 = c <== ur hypotenuse

Which system is the only inconsistent system?
Select one:
a.
y
y
=
=
x+4
2x+4
y=x+4y=2x+4

b.
y
y
=
=
x
−x
y=xy=−x

c.
y
y
=4
=
x−3
4x+3
y=4x−3y=4x+3

d.
y
2y
=2
=
x−3
4x−6
y=2x−32y=4x−6

Answers

Final answer:

Option (c) represents an inconsistent system of equations, as the constant terms are not proportional, while the coefficients of x are. This system (y=4x-3, y=4x+3) has no solutions.

Explanation:

In mathematics, specifically in algebra, an inconsistent system is a system of equations that has no solutions. To check which system is inconsistent from the options you've given, we need to compare the coefficients of each equation within a system. An inconsistent system will have proportional coefficients of x and y between the two equations, but the constant terms will not be proportional.

Looking at each option:

Option (a): y=x+4 and y=2x+4
Option (b): y=x and y=−x
Option (c): y=4x−3 and y=4x+3
Option (d): y=2x−3 and 2y=4x−6

From here, we can see that option (c): y=4x-3, y=4x+3 is inconsistent. In this system, the coefficients of x are proportional (4), but the constant terms (-3 and +3) are not proportional.

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Miss broom invested $10,000 into an account with an interest rate of 6% compounded annually which equation models the time it will take for his money to double?

A- logbase2 1.06= T

B- log2 =T

C-log1.06 =T

D= logbase1.06 2=t

Answers

The answer is
D= logbase1.06 2=t

If you compute it, you will will get 11.89 years which rounded to 12 years

Suppose there are 10,000 civilizations in the milky way galaxy. if the civilizations were randomly distributed throughout the disk of the galaxy, about how far (on average) would it be to the nearest civilization? (hint: start by finding the area of the milky way's disk, assuming that it is circular and 100,000 light-years in diameter. then find the average area per civilization, and use the distance across this area to estimate the distance between civilizations.)

Answers

The shape of the galaxy is a circular, with diameter 100, 000 lights year, 
so the radius is 50, 000 lights year, thus

 Area of the galaxy is [tex]A(galaxy)= \pi r^{2}= \pi (50,000)^{2}=25*10^{8} \pi [/tex] (lights year square)

The area per civilisation is [tex] \frac{25*10^{8} \pi }{10,000}=25*10^{4} \pi[/tex]

from this result we can assume as a circle of Radius=[tex]25*10^{2}=2500[/tex] lights year.

and assume that each civilisation lives in a planet at the center of these smaller circles.

Check the figure attached.

Planet A, and B are closest in distance. They are each at the center of a circle with radius 2500, and they are tangent. So the distance of A to B is 2500+2500=5000 (light years).


Answer: 5000 light years

Karen is trying to determine how long her 4-year-old daughter should sit in time-out for deliberately pouring her juice on the floor. if she uses the suggested estimate, her daughter will be in time-out for:

Answers

A good rule of thumb is one minute per year of your child's age. So Karen’s child is 4 years old, she would get four minutes of time-out. If you find that the shorter time-outs aren't having the wanted result, increase the length by half the time (so your 4-year-old would get an extra two minutes, for a total of six minutes).

In triangle DEF, DG = 10 cm. What is CG?

Answers

The answer is CG=5 CM

Answer:

5 cm is the correct answer it would be half of DG

Step-by-step explanation:

Find the surface area of the cone to the nearest tenth.


A. 203 cm2
B. 1341.5 cm2
C. 747.7 cm2
D. 213.5 cm2

Answers

So i also need closure on this question actualy taking the geometry examen rn... and i figured i had to do (pi)* 7^2 = 152.938......
soooo like this is what you gone do....
(pi) * 7^2+ (pi) *7 *27
=747.6990.....
hope this helps 
THE STRUGGLE IS REAL

The surface area of the given cone is 747.32.

What is area of a cone?

"The total surface area of a cone is defined as the total area of the cone occupied in a three-dimensional area. It is equal to the sum of the curved surface and the base of the cone. "

Surface area of the cone is [tex]\pi*r(l+r )[/tex]

[tex](22/7)*7*(27+7)[/tex]

= 747.32

The surface area of the cone is 747.32

Hence, option C is correct.

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what is 15 square root to the nearest tenth

Answers

mathematically the answer would be a never ending decimal (3.87298...) but in this case it would be 3.9

800x200 I know the answer is 160000 but I want to see how quick you guys answer...

Answers

hello : 
8×2 = 16
 and : four zero : 0000
you have : 160000

Find the difference- (ab+3a+7)- (-5ab-2)

Answers

(ab+3a+7)- (-5ab-2)
=ab+ 3a+ 7+ 5ab + 2
=3a + 6ab + 9

Rita made $221 for 17 hours of work.At the same rate, how much would she make for 12
hours of work?

Answers

$221 / 17 = $13

$13 per hour

so if 12 hours then 12 x $13 = $156

answer

$156 

Using the concept of proportion, Rita would make $156 for 12 hours of work at the same rate.

We have,

We can use proportions to solve this problem.

Let x be the amount of money Rita would make for 12 hours of work.

We know that Rita made $221 for 17 hours of work,

which can be written as:

221/17 = x/12

To solve for x, we can cross-multiply and simplify:

221(12) = 17x

2652 = 17x

x = 156

Therefore,

Rita would make $156 for 12 hours of work at the same rate.

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Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same? a. 5 years c. 9 years b. 7 years d. 11 years

Answers

A=17655+1230y, B=15900+1425y

We wish to know when A=B so:

15900+1425y=17655+1230y  subtract 15900 from both sides

1425y=1230y+1755  subtract 1230y from both sides

195y=1755  divide both sides by 195

y=9

So in 9 years both cars would cost the same.




After 9 years many years are the total costs for the cars the same.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

Given that:-

Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?

We can form two-equation for the total cost of the two cars:-

A   =   17655  +   1230y,

B   =   15900  +   1425y

We wish to know when the cost will become the same for both the cars.

A     =     B

15900    +   1425y  =    17655  +    1230y  

Now subtract 15900 from both sides

1425y     =    1230y   +    1755  

Now subtract 1230y from both sides

195y     =    1755  

Now divide both sides by 195

y   =   9 years

Therefore After 9 years, many years are the total costs for the cars the same.

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Please help me to do this one

Answers

Answer is 4

1. Multiple 29 by both side to get N by itself

2. solve 29/7.25 on a calculator, because it's easier

3. answer is 4.

4. Check your answer.  Plug in 4 to see if you get the same answer on both sides.  You should get .138 aprox. on both side. 

Answer is 4 cross multiply and divide

Which of the following is a factor of 6x2 + 2x − 21?

4x − 3
2x + 7
6x − 3
None of the above

Answers

ANSWER

None of the above

EXPLANATION

The quadratic expression given to us is

[tex]6 {x}^{2} + 2x - 21[/tex]

If the discriminant of this quadratic expression is a perfect square, then it has rational factors,

If we compare the above expression to the general quadratic expression,

[tex]a {x}^{2} + bx + c[/tex]
We have,
[tex]a=6,b=2,c=-21[/tex]


The discriminant is given by,

[tex] D = {b}^{2} - 4ac[/tex]

Thus

[tex] D = {2}^{2} - 4(6)( - 21)[/tex]


[tex] D = 4 + 504 = 508[/tex]

Since 508 is not a perfect square, the expression


[tex]6 {x}^{2} + 2x - 21[/tex]
has no rational factors.


Therefore D is the correct answer.

whats the normal arm span for these heights? : 4'10,4'11,5'0,5'4,5'5,5,'7,5'8,5'9,5'10,5'11,6'0

Answers

 

In adults, the arm span is approximately 5 cm greater than the height in adult males and 1.2 cm in adult females. To calculate the arm span for the heights given, we add 5cm to their height. The following are the results:

 

Height                   Arm Span Length (in cm)

4’10                        152.32

4’11                        154.86

5’0                          157.4

5’4                          167.56

5’5                          170.10

5’7                          175.18

5’8                          177.72

5’9                          180.26

5’10                        182.80

5’11                        185.34

6’0                          187.88

 

To add, the total measurement of the length from the furthermost part of an individual's arms to the other end when raised equidistant to the ground at shoulder height at a 90º angle is called the arm span or wingspan.

Simplify the expression: -3(4a-5b)

Answers

 −3(4a−5b)=(−3)(4a+−5b)=(−3)(4a)+(−3)(−5b)=−12a+15b

Which graph represents the function f(x) = x2 + 3x + 2?

graph 1

graph 2

graph 3

graph 4

Answers

Graph 1 obviously because it states x^2 meaning it is a quadratic function. This one requires very little explanation and it is instinctive given the parabola. The other graphs are linear or to the x power.

Answer:

Graph 1

Step-by-step explanation:

Here, the given equation is,

[tex]f(x)=x^2+3x+2-----(1)[/tex]

For x-intercept, f(x) = 0

[tex]x^2+3x+2=0[/tex]

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

[tex]x(x+2)+1(x+2)=0[/tex]

[tex](x+1)(x+2)=0[/tex]

[tex]\implies x=-1\text{ or } -2[/tex]

So, the x-intercept of the function are (-1,0) and (-2,0)

Since, the line must has at least one x-intercept.

Graph 2 and Graph 4 can not be the graph of the given function,

Also, for y-intercept,

Put x = 0 in equation (1),

We get, f(x) = 2,

Hence, the y-intercept of the given function is (0,2),

But in Graph 3 the y-intercept of the function = (0,1)

⇒ Graph 3 can not be the graph of the given function,

Therefore, Graph 1 is the correct graph of the given function.

How can the average rate of change be found using a discrete graph?

Answers

Final answer:

The average rate of change can be found using a discrete graph by calculating the slope between two points on the graph. This provides insight into how the dependent variable changes as the independent variable varies.

Explanation:

The average rate of change can be found using a discrete graph by calculating the difference in the y-values of two points and dividing it by the difference in the x-values of those same points. This will give you the slope of the line connecting the two points, which represents the average rate of change between those two points. For example, if you have two points (x1, y1) and (x2, y2), the average rate of change can be calculated as:

(y2 - y1) / (x2 - x1)

By finding the average rate of change at different intervals on the graph, you can analyze how the dependent variable changes in relation to the independent variable.

Find the exact solution to the equation. Show your work for credit. (1 point) four to the power of quantity twelve minus four x equals two hundred and fifty six.

Answers

4^(12-4x)=256  realize that 256 is 4^4  so we really have:

4^(12-4x)=4^4  taking the natural log of both sides

(12-4x)ln4=4ln4  dividing both sides by ln4

12-4x=4  subtract 12 from both sides

-4x=-8  divide both sides by -4

x=2


The exact solution to the equation [tex]4^{(12 - 4x)[/tex] = 256 is x = 2. By recognizing that 256 is 4 raised to the fourth power, we equate the exponents and solve for x.

To solve this problem, we need to recognize that 256 is a power of 4. 4⁴ = 256. With this insight, the equation can be rewritten as:

[tex]4^{(12 - 4x)[/tex] = 4⁴

Since the bases are the same, we can equate the exponents:

12 - 4x = 4

Now, we'll isolate the variable x:

Subtract 12 from both sides: -4x = 4 - 12

-4x = -8

Divide both sides by -4: x = 2

Thus, the exact solution to the given equation is x = 2.

What is the equation of the line perpendicular to 5x − 2y = −18 that contains the point (10, 4)?

y=-2/5x
y=-2/5x+8
y=-5/2x+29
y=5/2x-29

Answers

To find the slope of the line perpendicular to 5x-2y=-18. I would suggest changing the equation to point slope form or y=(5x/2)+9. The slope of the line perpendicular is the negative reciprocal. To find the reciprocal flip the slope of 5/2 to 2/5 and add a negative sign to -2/5. Now to find the constant of the equation solve the point slope form of y-4=-2/5(x-10) this simlifies to y=-2/5x+8. Your answer is the y=-2/5x+8.

Factor this expression. With work please!

Answers

[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\\ \quad \\ \quad \\ % difference of cubes \textit{difference of cubes} \\ \quad \\ a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad (a+b)(a^2-ab+b^2)= a^3+b^3 \\ \quad \\ a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad (a-b)(a^2+ab+b^2)= a^3-b^3\\\\ -------------------------------[/tex]

[tex]\bf x^6-9x^4-81x^2+729\qquad \begin{cases} x^6=x^{2\cdot 3}\\ \qquad (x^2)^3\\ 729=9\cdot 9\cdot 9\\ \qquad 9^3\\ 81=9\cdot 9\\ \qquad 9^2 \end{cases}\\\\ -------------------------------\\\\[/tex]

[tex]\bf (x^6+729)-(9x^4+81x^2)\implies [(x^2)^3+9^3]-(9x^2x^2+9^2x^2) \\\\\\\ [\underline{(x^2+9)}(x^4-9x^2+9^2)]\ -\ [9x^2\underline{(x^2+9)}]\impliedby \begin{array}{llll} notice\ the\\ \textit{\underline{common factor}} \end{array} \\\\\\ (x^2+9)\ [(x^4\underline{-9x^2}+9^2)\underline{-9x^2}]\impliedby \textit{now we add \underline{these two}} \\\\\\[/tex]

[tex]\bf (x^2+9)\ [x^4-18x^2+9^2]\impliedby \begin{cases} \sqrt{x^4}=x^2\\ \sqrt{9^2}=9\\ 18x^2=2(x^2)(9)\\ thus\ a\\ \textit{perfect square trinomial} \end{cases} \\\\\\ (x^2+9)\ [(x^2)^2-18x^2+9^2] \\\\\\ (x^2+9)(x^2-9)^2\implies (x^2+9)(x^2-3^2)^2 \\\\\\ (x^2+9)\ [(x-3)(x+3)]^2\implies \boxed{(x^2+9)(x-3)^2(x+3)^2} \\\\\\ \textit{and I guess you could be redundant and use} \\\\\\ (x^2+9)(x-3)(x-3)(x+3)(x+3)[/tex]

Joe gave the following argument: Since lim x→0 0 = 0,
(A) and since 0 = −1 x + 1 x ,
(B) we know that lim x→0 ( −1 x + 1 x ) = 0.
(C) But then, since lim x→0 ( −1 x + 1 x ) = lim x→0 ( −1 x ) + lim x→0 ( 1 x ),
(D) we can say that lim x→0 ( −1 x ) + lim x→0 ( 1 x ) = 0, which means that lim x→0 ( −1 x ) = − lim x→0 ( 1 x ).
(E) no error
In which line, if any, has joe made an error?

Answers

No error - A and B are completely right, and using the subtraction law D is right

The measure of ∠B is (3x – 4 )° and the measure of ∠D is (2x – 6)°. What are the measures of angles B and D?

Answers

B = 110 D = 70 your welcome yall

The measures of angles B and D are 110° and 70° respectively.

What is cyclic quadrilateral?

The rule of cyclic quadrilateral states that, the sum of the opposite is supplementary i.e 180°

Therefore, applying this rule, Angle B and D are supplementary

Then, B+D=180°

Given that, B=3x-4 and D= 2x-6

Thus, (3x-4)+(2x-6)=180°

3x-4+2x-6=180°

3x+2x-4-6=180°

5x-10=180°

5x=180°+10

5x=190°

Then, x =190/5

x=38°

Then solving for B and D;

B=3x-4

B=3(38)-4

B=114-4

B=110°

Also, D=2x-6

D=2(38)-6

D=76-6

D=70°

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Simplify:

6( [tex]4/3 \f[/tex] ( 14 ÷ [tex] \frac{1}{7} [/tex] ) ) ÷ [tex] \frac{13}{10} [/tex]

-
I got 603 [tex] \frac{1}{12} [/tex] , but i'm not completely sure it's correct..

Answers

[tex]\bf 6\left[\cfrac{4}{3}\left(14 \div \cfrac{1}{7} \right) \right]\div \cfrac{13}{10}\impliedby recall~\mathbb{PEMDAS} \\\\\\ 6\left[\cfrac{4}{3}\left(\cfrac{14}{1} \cdot \cfrac{7}{1} \right) \right]\div \cfrac{13}{10}\implies 6\left[\cfrac{4}{3}\left(98\right) \right]\div \cfrac{13}{10}\implies 6\left[\cfrac{392}{3} \right]\div \cfrac{13}{10} \\\\\\ \cfrac{6\cdot 392}{3}\cdot \cfrac{10}{13}\implies 784\cdot \cfrac{10}{13}\implies \cfrac{7840}{13}\implies 603\frac{1}{13}[/tex]

write an equation for a line perpendicular to the x-axis that passes through the point (5,1)

Answers

If it is perpendicular to the x-axis, it is a vertical line of the form:

x=k, since it must pass through (5,1) that vertical line is:

x=5
Final answer:

The equation of a line perpendicular to the x-axis passing through the point (5,1) is x = 5. This is because a vertical line crossing the x-axis at a specific point will have the same x-coordinate for all its points.

Explanation:

In mathematics, a line perpendicular to the x-axis is a vertical line that crosses the x-axis at a specific point. All points on this line will share the same x-coordinate. Therefore, a line that is perpendicular to the x-axis, and passes through the point (5,1) will have the equation x = 5. This equation represents a line that is vertical and intercepts the x-axis at the point where x equals 5. This is because in each point on the line, x remains constant, which is the characteristic of a vertical line in a Cartesian Coordinate System.

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I'm having trouble finding the answer to this question

Answers

I believe ABC is 125 degrees.
Those two angles are supplementary, so they add up to 180 degrees
180-55=125

if f (x) =-14x-2, then f^-1 (x) =

Answers

Hi!

Switch up the variables:

y = -14x - 2.

x = -14y - 2.

Add 2 to both sides.

x + 2 = -14y - 2 + 2.

x + 2 = -14y.

Divide by -14 on both sides.

(x + 2) / -14 = -14y / -14.

(x + 2) / -14 = y.

Change the y to f^-1(x).

f^-1(x) = (x + 2) / -14.

Hopefully, this helps! =)
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