Find the area and perimeter of the shaded region.

Answer:

x = -4

Step-by-step explanation:

16 + x = 12

16 - 16 + x = 12 - 16

x = -4

Answer:

Since it's a 30-60-90 triangle, the hypotenuse should be  

6 √ 3

and the short leg is  

3 √ 3

Step-by-step explanation:

Ratio:

Short side:  1  

Hypotenuse:  2

Long Side:  √ 3

Answer:

The radius is already given, which is 6 in.

Diameter is equal to 2 times the radius (2x6), which is 12 in.

Finally, circumference is equal to 3.14 times the diameter, which is 37.68 in.

Let me know if this helps!

6.28 * 6 : 37.68

radius is the length of half the circle. and diameter is always double the radius.

Answer:

Definitely the bottom left

Step-by-step explanation:

Answer:

A. 30 degrees

Step-by-step explanation:

Set the two angles equal to each other:

3x-15 = 45-x

Solve for x:

4x -15 = 45

4x = 60

x = 15

Finally, plug in the x to one of the equations (preferably 45 - x since it's easier to solve) and solve for x.

45 - 15 = 30

Answer:

A 30 degrees

Step-by-step explanation:

The answer is D because then triangles DEF and ABC would map onto one another

Triangle is a plane figure with three straight sides and three angles.

The answer is D because then triangles DEF and ABC would map onto one another.

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Answer:

The length of one side of the octagon is 7.65 cm

Step-by-step explanation:

The parameters given are;

A regular octagon inscribed in a circle of radius, r, of 10 cm.

The length of each side is found from the isosceles triangle formed by the radius and one side of the octagon

The sum of interior angles in a polygon, ∑θ[tex]_i[/tex] = 180 × (n - 2)

Where;

n = The number of sides of the polygon

θ[tex]_i[/tex] = The interior angle of the polygon

For the octagon, we have;

n = 8, therefore;

∑θ[tex]_i[/tex] = 180 × (8 - 2) = 1080

Given that there are eight equal angles in a regular octagon, we have;

∑θ[tex]_i[/tex] = 8 × θ[tex]_i[/tex] = 1080

θ[tex]_i[/tex] = 1080/8 = 135°

The sum of angles at the center of the circle = 360

Therefore, the angle at the center (tip angle) of the isosceles triangle formed by the radius and one side of the octagon = 360/8 = 45°

The base angles of the isosceles triangle is therefore, (180 - 45)/2 = 67.5° = θ[tex]_i[/tex]/2

The length of the base of the isosceles triangle formed by the radius and one side of the octagon = The length of one side of the octagon

From trigonometric ratios, the length of the base of the isosceles triangle is therefore;

2 × r × cos(θ[tex]_i[/tex]/2) = 2×10 × cos(67.5°) = 7.65 cm

The length of the base of the isosceles triangle = 7.65 cm = The length of one side of the octagon.

Answer:

50%

Step-by-step explanation:

its a 50/50 chance on it landing either heads or tails

Answer:

The correct option is;

C. Quadratic

Step-by-step explanation:

The given information are;

The quantity of corn Farmer Joe has to sell = 1,000 bushels

The present market price for corn = $5.00 a bushel

The amount by which he expects the market price to rise per week =$0.15

The number of bushels lost to spoilage per week = 10

Therefore, we have;

The value of the corn = Amount of corn left × Price of corn

The price of the corn per bushel with time = 5 + 0.15×t

The amount of corn left = 1000 - 10×t

Where;

t = Time in minutes

Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.

Therefore, the correct option is a quadratic model.

Answer:

Perimeter of the shaded region= 22/7cm

Area = 36.48 cm²

Step-by-step explanation:

First of all for the perimeter.

The radius of the arc is 8cm

At an angle of 90°

Perimeter of of the shape is perimeter of the the 2 arc

The both arc are equal so let's determine the perimeter of one first.

Perimeter of the arc= 2πr*(90/360)

Perimeter of the arc= 2*22/7*1/4

Perimeter of the arc= 11/7 cm

Perimeter of the shades region= 2*11/7

Perimeter of the shaded region= 22/7cm

Area of the sector = πr²*(90/360)

Area of the sector= 50.24cm²

Area of non sector= 64-50.24

= 13.76

But non sector is two

Area of non sector= 2*13.76

= 27.52

Area of the shaded region = area of the square -(area of non sector)

= 64-27.52

= 36.48 cm²

Answer:

[tex]a+b+c+d = -5\cdot b[/tex]

Step-by-step explanation:

The given system of equations is now reduced:

1) [tex]a+b = c[/tex], [tex]b+c = d[/tex], [tex]c+d=a[/tex], [tex]b > 0[/tex] Given

2) [tex]a = c+d[/tex] By 1)

3) [tex](c+d)+b=c[/tex] 2) in 1)

4) [tex]d = b + c[/tex] By 1)

5) [tex][c+(b+c)]+b = c[/tex] 4) in 3)

6) [tex]2\cdot b + 2\cdot c = c[/tex] Algebra

7) [tex]c = -2\cdot b[/tex] Algebra

8) [tex]d = -b[/tex] 7) in 4)/Algebra

9) [tex]a = -3\cdot b[/tex] 7) and 8) in 2)/Algebra

10) [tex]a+b+c+d = -5\cdot b[/tex] 9), 1), 7) and 8)/Algebra/Result

Answer:

3*3+1=10

4*4+5=21

Step-by-step explanation:

You square the number in the first box

3*3=9

4*4=16

And add the number in the second box with the result.

3*3=9+1=10

4*4=16+5=21

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

We must square the number on the left box, then add with the number in the right box to get the result in the boxes below.

3² + 1 = 9 + 1 = 10

4² + 5 = 16 + 5 = 21

Answer:

2.5 gallons (B)

Step-by-step explanation:

1 gallon is equal to 4 quarts. So, if Mary bought 10 quarts, that is 10/4 gallons. Simplified, 10/4=5/2=2.5 gallons.

Answer:

ok

Step-by-step explanation:

First you would put a circle on -6. Next you would count 15 spot away from the -6. Lastly you would mark the answer

━━━━━━━☆☆━━━━━━━

▹ Answer

X = 24

m = 13/7 or about 1.86

▹ Step-by-Step Explanation

X/3 + 7 = 15

X + 3 * 7/3 = 15

X + 21/3 = 15

X = 24

3.5m - 1.5 = 5

35/10m - 15/10 = 5

5 * 7/2 * 5m - 3 * 5/2 * 5 = 5

m = 13/7 or about 1.86

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

Using Pythagoras Theorem, hypotenuse = 5

[tex]h = \sqrt{a^{2}+ b^{2}[/tex]

[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]

sin x = height / hypotenuse = 3 / 5

cos y = base / hypotenuse = 3 / 5

sin x = cos y = 3 / 5

Answer:

$5.21

Step-by-step explanation:

20.00 - 14.79 = 5.21

Answer:

5 dollars and 21 cents or $5.21

Step-by-step explanation:

20.00 - 14.79 = 5.21

Answer:

1/24

Step-by-step explanation:

Answer:

1/24 makes this equation true

Answer:

  i -j +2k . . . at s=t=-1

Step-by-step explanation:

For the lines to intersect, there must be values of s and t that make the coordinates of r1 equal to those of r2.

Equating i coefficients, we have ...

  2 +s = 2 +t

Equating j coefficients, we have ...

  2 +3s = 3 +4t

Equating k coefficients, we have ...

  3 +s = 4 +2t

The first equation tells us s = t. Using t = s in each of the other two equations, they become ...

  2 +3s = 3 +4s   ⇒   s = -1

  3 +s = 4 +2s   ⇒   s = -1

Then the point of intersection is where s = t = -1. That point is ...

  (2 +s)i +(2 +3s)j +(3 +s)k = (2 -1)i +(2 -3)j +(3 -1)k

  = i -j +2k . . . . the point of intersection

Answer:

A=[tex]\frac{a+b}{2} (h)[/tex]

Step-by-step explanation:

Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The options are:

We have a formula for finding the area of the trapezoid:

[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]

Make a subject h and solve for h:

[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]

or

[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]

[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]

[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]

Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

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Answer:

2/5 [tex]cm^2[/tex]

Step-by-step explanation:

To find the area of a rectangle do A = bh

When you substitute 4/6 for base and 3/5 for height  it will be A = 4/6 x 3/5

This means the area is 2/5

Answer:

2/5 cm^2

Step-by-step explanation:

The area of a rectangle is found by

A = l*w

A = 4/6 * 3/5

  Rewriting

  =4/5 * 3/6

   = 4/5 *1/2

  = 2/5 cm^2

Answer:

the distribution can be broken into categories

Statement c shows a characteristic of a statistical question.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

So, based on the definition of statistics we can say.

1)Statistical data can be analysed.

2)Statistical data can be used to interpret many things.

3)Statistical data can forecast the results.

Out of the given statements, only statement c falls under the category of statistical statement.

Hence, statement c shows a characteristic of a statistical question.

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Answer: 355

And 33 eggs

Step-by-step explanation:

8 × 40 = 320

7/8 × 40= 35 Add 35+320 = 355

2 × 12= 24 3/4 of 12 = 9

Add 9+24=33

You can also make an improper fraction. Multiply the denominator by the whole number then add the numerator.

2 3/4 becomes 4×2=8

8+3=11 Divide the other factor by the denominator: 12÷4=3

Then multiply by the "improper" numerator 3×11=33

8 7/8 becomes 71/8

40/8=5

5×71=355

Answer:

355

Step-by-step explanation:

So, you first multiply 8 with 8 = 64

Then 64 + 7 = 71

So, 71 is the numerator and 8 stays the denominator.

Now you have 71/8 *40.

You "cut" 40 into five and 8 into 1, Because 40 divided by 8 is 5, so 40 becomes 5 and 8 becomes 1.

Now we have 71 * 5 = 355

hope it helps!

PLEASE brainliest me!

Answer:  1. A. y=17x

2.  $59.50

Step-by-step explanation:

1. In the table , it can be seen that as x increases y increases with the proportionality constant k = [tex]\dfrac{y}{x}=\dfrac{51}{3}=\dfrac{85}{5}=\dfrac{119}{7}=17[/tex],.

Equation of direct variation between  x and y : [tex]y=kx[/tex]

Put k= 17 , we get

[tex]y=17x[/tex] , which is the required equation.

So correct option is "A".

2. To find : The charge for renting a machine for 3.5 hours.

Put x= 3.5 in above equation , we get

[tex]y=17(3.5)=59.5[/tex]

Hence, the  charge for renting a machine for 3.5 hours is $59.50.

So correct option is "B".

Answer:

$17

Step-by-step explanation:

If each ticket is $7 and there are 48 student multiply 7 and 48 to see how much the tickets were in total (336)

Now subtract 353 and 336 to see how much money is left (17)

Answer: -17?

Step-by-step explanation:

because 7*48= 336

then you would do 336-353= -17

which gave me the answer of -17

Answer:

1/6

Step-by-step explanation:

there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]

Answer:

202m

Step-by-step explanation:

Please see attached picture for full solution.

Let x meters be the height of the building.

Answer:

1st option

Step-by-step explanation:

Because .3*300=90

.3=30%

Answer:

If 300 lunches were served, then 90 chose milk (7).

Step-by-step explanation:

To determine that this is the correct answer, you can just divide 90/300, which is equal to 0.3 or 30%. When you look at the graph, you can see that "milk" is equal to 30%, so this statement is true.

Answer:

Step-by-step explanation:

Since the new price is lesser than the original price the percentage change will be a decrease.

To find the percentage change use the formula

[tex]Percentage \: \: change = \frac{change}{original \: \: quantity} \times 100[/tex]

To find the change subtract the new price from the original price

new price = $199.95

original price = $246.95

Change = $246.95 - $ 199.95 = $47

[tex]Percentage \: \: change = \frac{47}{246.95} \times 100[/tex]

Hope this helps you

When you substitute the value of x = 3, you get f(x) = 1.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Here the given graph of y = f(x) is shown.

When you substitute the value of x = 3, you get f(x) = 1.

Hence, you can get f(x) = 1 by substituting the value of x = 3

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