The interior angles of a triangle are 42°,56° and 2x°. Find the value of x.

Answer:

257 square m

Step-by-step explanation:

Area of the figure

= Area of square + Area of semicircle

[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]

Answer:

257 square meters

Step-by-step explanation:

i just took the test

Answer:

b.four less than three times a number

Step-by-step explanation:

because it's -4 , it will be four less than

and ×3 is three times the number

Answer:

b. four less than three times a number

Step-by-step explanation:

Got it right on the test

Answer:

D Over the interval [4, 7], the local minimum is -7.

Step-by-step explanation:

Answer:

Total bill = $17.18

Step-by-step explanation:

Niomi purchased 2 yards of 45" flat fold material at $2.29/yd.

Cost of 2 yard of 45" flat fold material = 2.29 × 2

                                                               = $4.58

Shen then bought 2 more yards of 60" 100% cotton broadcloth at $5.89.

Cost of 2 more yards material = 5.89 × 2

                                                  =$11.78

Total cost of 4 yards cloth material with sales tax  

= (4.58 + 11.78) + 5% of (4.58 + 11.78)

= $16.36 + (5% of $16.36)

= 16.36 + (0.05 × 16.36)

= 16.36 + 0.818

= $17.178

= $17.18

Answer:

C

Step-by-step explanation:

Option c gives the actual representation of the question

Answer:

  1.  The angles do not have the same reference angle

Step-by-step explanation:

The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)

The angles do not have the same reference angle.

_____

5π/6 has a reference angle of π/6.

5π/3 has a reference angle of π/3.

Answer:

The angles do not have the same reference angle.

Step-by-step explanation:

2π = 360°

π = 180°

5π/6 = [tex]\frac{5 * 180}{6}[/tex] = 150° (The reference angle here is 180° - 150° = 30°

5π/3 = [tex]\frac{5 * 180}{3}[/tex] = 300° (The reference angle here is 360° - 300° = 60°)

The reference angles are not the same and so the value of their tangents are not equal.

Answer:

x = 3 1/4

Step-by-step explanation:

[tex]4x+15=28\\Collect-like-terms\\4x = 28-15\\4x = 13\\Divide -both-sides-of-the-equation-by:4\\\frac{4x}{4} =\frac{13}{4} \\x = 13/4\\x = 3\frac{1}{4}[/tex]

[tex]4x+15=28[/tex]

[tex]4x+15-15=28-15[/tex]

[tex]4x=13[/tex]

[tex]\displaystyle \frac{4x}{4} =\frac{13}{4}[/tex]

[tex]\displaystyle x=3.25[/tex]

Answer:

The answer is 2940

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

Might be wrong but try 47.5ft^2

Step-by-step explanation:

(3*2)/2=3

(3*3)/2=4.5

3+4.5+(4*10)=47.5

The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

(a³ - 2a + 5) - (4a³ - 5a² + a - 2)

⇒ a³ - 4a³ - 2a - a + 5a² + 5 + 2

⇒ -3a³ + 5a² - 3a + 7

Hence "The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7".

To learn more about expression,

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Answer:

39/46

Step-by-step explanation:

Now, the key to answer this first is knowing the value of cos θ

Mathematically, when we have sin θ

What we have is the ratio of the opposite to the hypotenuse side

Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13

Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem

This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

So let’s say the adjacent or the third side is d

This means that;

13^2 = 5^2 + d^2

d^2 = 13^2 - 5^2

d^2 = 169-25

d^2 = 144

d = √(144)

d = 12

The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse

and that is 12/13

Hence Cos θ = 12/13

What we need last to answer the question is cos2 θ

Using trigonometric identity;

Cos2θ = cos^2 θ - sin^2 θ

Inputing the values of sine and cos of the angle theta, we have;

cos2θ = (12/13)^2 - (5/13)^2

cos2θ = 144/169 - 25/169 = 119/169

Thus;

cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)

= 12/13/(184/169)

= 12/13÷ 184/169

= 12/13 * 169/184

= (13 * 3)/46 = 39/46

Answer:

3/35

Step-by-step explanation:

Here, we want to know the constant of proportionality in this direct variation scenario

Since it is a direct variation, the form we are having would be;

x = ky

where x and y directly vary with each other and k is the constant of proportionality

Now, for the first relation

3 = 35k

for the second

9 = 105k

Thus k would be

3/35 which is the same as 9/105

Kindly note that 9/105 can be reduced to 3/35

So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35

The answer is A.) y =35/3x

Answer:

(-3, 1.5)

Step-by-step explanation:

Take the averages of the x-coordinates and y-coordinates of the 2 points

-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.

-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.

The midpoint will be (-3, 1.5)

Answer:

the first one is 4+10+10=24

the second one is 10-4=6

the third one is =4

the pink cone=10

the blue cone=4

I hope this help

and i am sure that is the answer

please give me the brainlest

Answer:

c. 25

Explanation:

write no more than one radical

[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]

simplify

[tex]5\sqrt{25} \\25[/tex]

Therefore, the answer is c) 25.

Answer:

c) 25

Step-by-step explanation:

√125 x √5= √25*5*5 = √25*25= 25

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]

These are corresponding angles

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

use -9 to multiply the first equation

use -4 to multiply the second equation.

Step-by-step explanation:

5x-4y=28.....eqn (1)×-9

3x-9y=30....eqn(2)×-4

-45x+36y=-252

-(-12x+36y=-120)

therefore, -33x÷33 =-132÷-33

x=4.

substitute (x=4) in any of the equation. I'm just going to use eqn 1.

5x-4y=28

5(4)-4y=28

20-4y=28

-4y =28-20

-4y÷-4 = 8÷-4

y=-2

so, x=4, y=-2

Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g

5(4)-4(-2)=28.

Answer:

The first equation should be multiplied by 9 and the second equation by −4.

Step-by-step explanation:

Answer:

Each neighbor will get 12 candles so in total, 60 candles will be sold.

Step-by-step explanation:

Answer:

Option E

The shape is got using the expression: (20 X 9) - (3 X 2)

Step-by-step explanation:

to get the area of the shape, all we need to do is subtract the area of the smaller rectangular cut out from the area of the bigger rectangle.

The main trick here will be identifying the dimensions of both the larger rectangle and the smaller rectangle.

Dimensions of the larger rectangle:

Since we are told that the cut out is at the upper right corner, we can get the dimensions of the larger rectangle using the bottom length and the left width.

Thus we have Length = 20 feet, width = 9 feet

Dimensions of the smaller rectangular cutout.

We can get this by subtracting the dimensions of the top and right edges of the shape from their counterparts in the larger rectangle ( length an width)

length of cutout = ( 20-18) = 2 feet

width of cutout = (9-6) = 3 feet

Hence, the area of the shape is got using the expression:

(20 X 9) - (3 X 2)

Answer:

No 6 1/2 is 6.5, which is not 73

Step-by-step explanation:

Answer:

no, 6+1/2 equals 6'5

if you mean 6*1/2, it still doesn't equal 73 but 3

Step-by-step explanation:

Answer:

the median increases by 0

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer: x=−10

Step-by-step explanation:

x−3−2(x+6)=−5

x+−3+(−2)(x)+(−2)(6)=−5(Distribute)

x+−3+−2x+−12=−5

(x+−2x)+(−3+−12)=−5(Combine Like Terms)

−x+−15=−5

−x−15=−5

−x−15+15=−5+15

−x=10

It takes 48 hours if 12 people built the same wall.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

3 x 12 x 129

Step-by-step explanation:

You can get your answer

Answer:

0.0636

Step-by-step explanation:

The probability the first die has twelve sides is 4/11.

The probability the second die has twelve sides is 3/10.

The probability the third die does not have twelve sides is 7/9.

The probability the fourth die does not have twelve sides is 6/8.

The probability of all four events is:

4/11 × 3/10 × 7/9 × 6/8 = 0.0636

Answer:

a linear function with slope 3 and y intercept -6

Step-by-step explanation:

f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.

Next time please be sure to share the answer choices.  Thanks.

Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

" Linear function is defined as the relation between variables with highest exponent equals to one".

According to the question,

Given

Function[tex]f(x)= 3x-6[/tex]

[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.

Therefore, it is a linear function.

Represents the straight line.

x increases y also increases.

No maximum and minimum point.

Compare it with general equation of line [tex]y = mx + c[/tex]

Slope of the line [tex]= 3[/tex]

Y- intercept [tex]= -6[/tex]

Hence,  function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

Learn more about the linear function here

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Answer:

y = -2x + 1

Step-by-step explanation:

First we're going to find the gradient (the number in the green box with the question mark).

We use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the gradient.

Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).

Substitute the points into our formula:

gradient = [tex]\frac{(-3)-3}{2- (-1)}[/tex]

gradient = [tex]\frac{-6}{3}[/tex]

gradient = -2

Next, we're going to find the y-intercept (the number in the grey box)

Now that we have the gradient, our equation looks like this:

y = -2x + c

We use the letter c to represent the y-intercept of a linear graph.

Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).

3 = -2(-1) + c

3 = 2 + c

c = 1

So our equation is y = -2x + 1

Answer:

The answer is -32, -18, -11, 8, 41.

Step-by-step explanation:

For negative number, the greater the number the smaller it is. For example, -2 is smaller than -1. ( -2 < -1 )

For positive number, the greater the number the larger it is. For example, 1 is smaller than 2. ( 1 < 2 )

Answer:

-32, -18, -11, 8, 41

Step-by-step explanation:

Answer:

(6, - 3 )

Step-by-step explanation:

Given f(x) then f( x + c) represents a horizontal translation of f(x)

• If c > 0 then a shift to the left of c units

• If c < 0 then a shift to the right of c units, thus

y = f(x - 4) represents a shift to the right of 4 units, so

(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )

The maximum point on the graph after translation y = f( x -4) is (6 , -3)

Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .

Horizontal translation to the left is given by f (x+ c) ,c >0

: (x, y) → (x- c , y)

Horizontal translation to the right is given by f (x- c) ,c >0

: (x, y) → (x+ c , y)

Given that the maximum point on the graph of the equation

y = f(x) is (2,-3)

To find the maximum point on the graph of the equation y = f(x-4)

f(x -4) is Horizontal Translation to the right with 4 units , c= 4

then  (x, y) → (x+ c , y)

Thus the maximum point (2,-3) is moved to ( 2 +c , -3)

⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)

Therefore, the maximum point of the graph of the equation  y = f(x-4) becomes (6,-3)

Also, Learn more abut translation of graphs from the link below:

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Answer:

D.120

Step-by-step explanation:

The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120