If the degree measures of the angles of a triangle are in the ratio 3 : 3 : 4, what is the degree measure of the largest angle of the triangle? (Sum of all three angles is 180)

Answer:

78.4 ft

Step-by-step explanation:

Part I:

Missing angle = 180° - (130 + 30) (sum of angles in a triangle)

= 180° - 160°

Missing angle = 20°

Part II: distance (d) from Swanson to the boat

Law of Sines is given as:

[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]

Where,

a = d

A = 130°

b = 35 ft

B = 20°

Plug in the values and solve for d

[tex] \frac{d}{sin(130)} = \frac{35}{sin(20)} [/tex]

Multiply both sides by sin(130) to make d the subject of the formula

[tex] \frac{d}{sin(130)}*sin(130) = \frac{35}{sin(20)}*sin(130) [/tex]

[tex] d = \frac{35*sin(130)}{sin(20)} [/tex]

[tex] d = 78.4 ft [/tex]

Answer:

1. [tex](A,B) = (3,-2)[/tex]

2. The values of t are: -3, -1

Step-by-step explanation:

Given

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}[/tex]

[tex]|t| = 2t + 3[/tex]

Required

Solve for the unknown

Solving [tex]\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}[/tex]

Take LCM

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{(x - 2)(x-1)}[/tex]

Expand the denominator

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - 2x + x -2}[/tex]

[tex]\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - x -2}[/tex]

Both denominators are equal; So, they can cancel out

[tex]x + 7 = A(x+1) + B(x-2)[/tex]

Expand the expression on the right hand side

[tex]x + 7 = Ax + A + Bx - 2B[/tex]

Collect and Group Like Terms

[tex]x + 7 = (Ax + Bx) + (A - 2B)[/tex]

[tex]x + 7 = (A + B)x + (A - 2B)[/tex]

By Direct comparison of the left hand side with the right hand side

[tex](A + B)x = x[/tex]

[tex]A - 2B = 7[/tex]

Divide both sides by x in [tex](A + B)x = x[/tex]

[tex]A + B = 1[/tex]

Make A the subject of formula

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]A - 2B = 7[/tex]

[tex]1 - B - 2B = 7[/tex]

[tex]1 - 3B = 7[/tex]

Subtract 1 from both sides

[tex]1 - 1 - 3B = 7 - 1[/tex]

[tex]-3B = 6[/tex]

Divide both sides by -3

[tex]B = -2[/tex]

Substitute -2 for B in [tex]A = 1 - B[/tex]

[tex]A = 1 - (-2)[/tex]

[tex]A = 1 + 2[/tex]

[tex]A = 3[/tex]

Hence;

[tex](A,B) = (3,-2)[/tex]

Solving [tex]|t| = 2t + 3[/tex]

Because we're dealing with an absolute function; the possible expressions that can be derived from the above expression are;

[tex]t = 2t + 3[/tex]    and   [tex]-t = 2t + 3[/tex]

Solving [tex]t = 2t + 3[/tex]

Make t the subject of formula

[tex]t - 2t = 3[/tex]

[tex]-t = 3[/tex]

Multiply both sides by -1

[tex]t = -3[/tex]

Solving [tex]-t = 2t + 3[/tex]

Make t the subject of formula

[tex]-t - 2t = 3[/tex]

[tex]-3t = 3[/tex]

Divide both sides by -3

[tex]t = -1[/tex]

Hence, the values of t are: -3, -1

Answer:

A

Step-by-step explanation:

A: 0^2+8=8

B: 1^2+8=9

C: 2^2+8=12

D: 3^2+8=17

as 8 is the smallest, A is the answer

Answer:C

Step-by-step explanation:

Answer:

Hey there!

We can write this equation: 2x+4x=180

6x=180

x=30

Hope this helps :)

The two angles are supplementary angles. When added together they equal 180 degrees.

2x + 4x = 180

Combine like terms:

6x = 180

Divide both sides by 6:

X = 180/6

X = 30

Answer: A.71

Step-by-step explanation: 1.set up the equation

2. 4n-18+n+9=151-5n

3.combine like terms ->  5n-9=151-5n

4.solve for n

5.10n=160

n=16

now you have to plug 16 in for n in order to get the remote exterior angle.

151-5(16)

151-80

71°

The sum of any two interior angle is equal to the third exterior angle. The value of n will be 16°. Then the correct option is B.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle having the interior angle x and y, and z is the exterior angle of triangle.

m∠x = (4n − 18)°, m∠y = (n + 9)°, and m∠z = (151 − 5n)°

Then the value of n will be

We know that the sum of any two interior angle is equal to the third exterior angle. Then we have

∠x + ∠y = ∠z

4n - 18 + n + 9 = 151 - 5n

10n = 160

n = 16°

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

7. 36     8. 1     9. 21

Step-by-step explanation:

You plug in the variables in the equation.

7.[tex]5^{2} +-4^{2} = 41[/tex]

8. [tex](5-4)^{2} = 81[/tex]

9. [tex]5+4^{2} =21[/tex]

Answer:

See explanation

Step-by-step explanation:

1. 8^5 = 32768

2. a^6

3. 5^5*9^3 = 2278125

5. (-3)^5 = -243

6. (3/4)³ = 27/64

7. a² + b² = 5² + (-4)² = 25 + 16 = 41

8. (a + b)² = (5 + 4)² = 9² = 81

9. a + b² = 5 + 4² = 5 + 16 = 21

Answer:

-f(3x - 1) + 2 = -18x² + 12x + 1

Step-by-step explanation:

Step 1: Find f(3x - 1)

f(3x - 1) = 2(3x - 1)² - 1

f(3x - 1) = 2(9x² - 6x + 1) - 1

f(3x - 1) = 18x² - 12x + 2 - 1

f(3x - 1) = 18x² - 12x + 1

Step 2: Plug in f(3x - 1)

-(18x² - 12x + 1) + 2

Step 3: Evaluate

-18x² + 12x - 1 + 2

-f(3x - 1) + 2 = -18x² + 12x + 1

Answer:

I think its b

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Using PEMDAS, we know to solve exponents before everything else.

So:

[tex](1+5^2)-16(\frac{1}{2})^3 = (1+25) - 16(\frac{1}{8} )\\\\26 - 2\\24[/tex]

Hope this helped!

Answer:

24

Step-by-step explanation:

(1+5^2)-16(1/2​)^3

simplify

(1+25)-16(1/8)

simplify

26-2

simplify

24

Answer:

[tex]y = 3x-4[/tex]

Step-by-step explanation:

We know that if we were to write an equation with the slope of 3, it would be [tex]y=kx[/tex], where k is the constant (in this case 3.)

So right now, we have [tex]y=3x[/tex].

However, this will not pass through the point (2,2). To do this, we need to add a y-intercept in which (2,2) will be crossed through.

If we have a y-intercept of -4, the points will be:

(0, -4)

(1, -1)

(2, 2)

So our final equation is [tex]y = 3x-4[/tex].

Hope this helped!

Answer: 3x-1y=4 in Ax+By=C form

Step-by-step explanation:

the intercept form is y=3x-4

subracting 3x from both sides would get  -3x+y=-4

distributing -(-3x+y=-4) would get 3x-y=4.

Step-by-step explanation:

His profit is 40%.

hope this helps

pls mark me brainliest

Answer:

40 percent i think

Step-by-step explanation:

hope its right

please put me brainlieeeeeeest

thxxx

Answer: x^2 + (x+2)(x-2)

Step-by-step explanation:

The caret ^ before the 2 indicates that the 2 is an exponent. It means "x squared"

If the keyboard doesn't allow exponents the caret is the thing to use.

The expression for the square of Lara’s age and the product of ages of Lara’s best friends is x² + (x-2)(x+2)

The first thing to do is to calculate the square of Lara's age and this will be:

= x × x = x²

The product of the ages of Lara’s best friends will be (x-2)(x+2).

Therefore, the expression that can be used to calculate the square of Lara’s age and the product of ages of Lara’s best friends is x² + (x-2)(x+2)

Read related link on:

https://brainly.com/question/16592251

Answer:

the answer is D

Step-by-step explanation:

y=x-1

2=3-1

2=2

y=-3x+11

2=-3(3)+11

2=-9+11

2=2

Answer:

Step-by-step explanation:

If both lines pass through the point (3, 2), we automatically know that (3, 2) is the soution of the system of linear equations given here, AND that (3, 2) is a solution of equation A and equation B both.

Answer:

3x³ - 10x² + 14x - 12

Step-by-step explanation:

(3x² - 4x + 6) × (x - 2)

3x³ - 4x² + 6x - 6x² + 8x - 12

3x³ - 10x² + 14x - 12

Thus, the product of 3x² - 4x + 6 and x - 2 in standard form is 3x³ - 10x² + 14x - 12

Answer:

Step-by-step explanation:

find LCM of the denominators= 77

so 66/77 - 63/77

3/77

hope this help you pls mark me as brainliest

working for division is on this question is

6/7 divide 9/11

so 6/7 *11/9

66/63 and then you can find its standard form and it cannot be do not

Answer:

The expression in the question can, and should, be written clearly as either  205(2)=8  or as  205(2)=2 . Relying on a left-to-right or right-to-left interpretation is not a good idea.

In cases of associative operators, like  a⋅b⋅c , the parenthesis or other grouping can be omitted because any reasonable interpretation will yield the same result. But this isn’t true of division, which is not associative, nor is it true of mixed operators at the “same level” of precedence, like multiplication/division.

The other answers which say the result is  8  may not be wrong, but they are missing the main issue in that this expression should not be used because of the ambiguity

Step-by-step explanation:

Answer:

d) 4.

Step-by-step explanation:

Let Santiago be x years old today.

Then Juan is x + 8 years old.

In 4 years Santiago will be x + 4 years.

In 4 years Juan will be x + 12 years.

From the given information:

x + 4 = 0.5(x + 12)

x = 0.5x + 6 - 4

0.5x = 2

x = 2 / 0.5

x = 4.

Answer:

C

Step-by-step explanation:

C is the only situation in which there is a clear constant of proportionality and no offset (no initial value).  Claires rate is ($4.50 + $0.30)/book, or $4.80/book.

Answer:

  236.9 m

Step-by-step explanation:

Let x and y represent the distances to the near and far cars, respectively. You know from the definition of the tangent of an angle that ...

  tan(angle of depression) = building height/distance to car

  tan(10°39') = 150/x

  x = 150/tan(10°39')

and

  tan(8°15') = 150/y

  y = 150/tan(8°15')

The difference of these two distances is the distance between the cars:

  y - x = 150/tan(8°15') -150/tan(10°39')

__

The minutes of arc can be converted to fractional degrees:

  15' = 15'/(60'/1°) = (15/60)° = 0.25°

  39' = 39'/(60'/1°) = (39/60)° = (13/20)° = 0.65°

So, the distance of interest is ...

  distance between cars = (150 m)(1/tan(8.25°) -1/tan(10.65°)) ≈ 236.86 m

The cars are about 236.9 meters apart.

Answer:

[tex]\huge\boxed{Perimeter = 34\ units}[/tex]

Step-by-step explanation:

DE = 10 units

GF = 10 units

DG = 7 units

EF = 7 units

Perimeter of rectangle = Sum of all sides

P = DE + GF + DG + EF

P = 10 + 10 + 7 + 7

Perimeter = 34 units

Answer:

D) 34 units

Step-by-step explanation:

Coordinates:

D: (-5,4)

E: (5,4)

F: (5, -3)

G: (-5,-3)

Distance between points D and E = Distance between points F and G = 10

Distance between points E and F = Distance between points G and D = 7

Formula for perimeter of your rectangle:

2(x) + 2(y) =

2(10) + 2(7) =

20 + 14 = 34 units

That's your answer!

Hope that helps and maybe earns a brainliest!

Have a terrific day! >   <

                                   U

Answer:

infinite solutions

Step-by-step explanation:

4x = 2x + 2x + 5(x-x)

Simplify

4x = 2x + 2x + 5*0

4x = 2x + 2x

4x = 4x

Divide by x

4 =4

This is always true so this has infinite solutions

Answer:

domain={8,7,6,5,4,3,2,1,0}

Answer:

[tex]\boxed{0 \leq x \leq R}[/tex]

Step-by-step explanation:

Well domain is the amount of x values on a graph,

so looking at the given graph we can tell the x values start at 0 and since it is a solid dot the x is greater than or equal to 0 then you can tell by the arrow that the line goes on forever.

0 ≤ x ≤ R

The R stands for all real numbers.

Hope this helps :)

Answer:

B. 13.7 cm^2

Step-by-step explanation:

To find the height of any parallelogram, you must multiply the base x height.

The base is 1.9 cm. The height is 7.2 cm.

A = bh

A = (1.9)(7.2)

A = 13.68

13.7 is the closest answer we can get if we can round, but it really should be 13.68 cm^2.

Answer:

B. 13.7

Step-by-step explanation:

A = bh

A = 1.9*7.2

A = 13.68

(13.68 rounds up to 13.7)

Answer:

-7

Step-by-step explanation:

-1.68j+1.24=13

-1.68j=13-1.24

-1.68j=11.76

j=11.76/-1.68

j=-7

Hi there! Hopefully this helps!

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

Answer: j = -7

You can also rewrite the equation(replace "j" with the answer):

-1.68(-7) + 1.24 = 13.

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

How I solved it:

-1.68j + 1.24 = 13.

We subtract 1.24 from both sides.

-1.68j = 13 - 1.24

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

-1.68j = 13 - 1.24

We subtract 1.24 from 13 to get 11.76.

-1.68j = 11.76

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

-1.68j = 11.76

We then divide both sides by -1.68.

j = [tex]\frac{11.76}{-1.68}[/tex]

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

Expand [tex]\frac{11.76}{-1.68}[/tex] ≈ -7 by multiplying both the numerator and the denominator by 100.

j = [tex]\frac{1176}{-168}[/tex]

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

Divide 1176 by -168 to get -7.

Answer:

(1.222, -2.444)

Step-by-step explanation:

I hope you can understand the question now

Answer:

$900

Step-by-step explanation:

First, find the area of the floor with the equation A = lw

A = lw

A = (20)(20)

A = 400 ft²

Since each tile covers 1 sq ft and the floor's area is 400 sq ft, they will need 400 tiles.

To calculate the total cost, multiply 400 by 2.25

400(2.25) = 900

= $900

Answer:233.333%

Step-by-step explanation:

1. 10-3=7 subtract end by start

2.7/3=2.333 divide difference by absolute value of start

32.333x100=233.333% multiply by 100 if negative its decreasing if positive it increasing

hoped this helped

Answer: 4.5x-100 > 125

Step-by-step explanation: Each candle costs $4.50, which can be simplified to 4.5. To determine how much they will make from the candles, you want to multiply the cost of the candles (4.5) by how many candles are sold (x), and this is where the 4.5x comes from. We subtract 100, because that is how much they spent on the candles they are selling (profit means how much you make after expenses). Since they're trying to make MORE THAN $125 in profit, we use the > sign.

Answer:

So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so: So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:

4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:

x > 50

They have to sell more than 50 candles.