53) Darryl wants to buy socks for $15.27. He
gives the cashier $20. What is his
change?

Answer:

D 36.6

Step-by-step explanation:

Here, there is a triangle inscribed inside of a semicircle where the triangle is unshaded and the remained of the semicircle is shaded and we want to find the area of that shaded untouched area of the semicircle.
To do so we must find the area of the two shapes individually and then subtract the area of the triangle from the area of the semi circle as the triangle is what is uncovering the semicircle.

Finding the area of the semicircle

Area of a semicircle = (πr²)/2 where r = radius

Here we are given the diameter of the semicircle which is 13cm. We can easily convert the diameter to radius by dividing it by 2 as the radius is equal to half the diameter

Radius = 1/2 diameter , so radius = 13 / 2 = 6.5cm

We have A = πr²/2

==> plug in radius or r = 6.5

A = π(6.5)²/2

==> simplify exponent

A = π(42.25)/2

==> multiply π and 42.25 ( note that π = 3.14 approximately

A = 132.665/2

==> divide 132.665 by 2

A = 66.366

So the area of the semicircle is 66.366cm²

Finding the area of the triangle

The area of a triangle can be calculated by dividing the product of the base length and height ( formula = bh / 2 where b = base length and h = height )

Here the base length appears to be 5cm and the height appears to be 12cm so b = 5 and h = 12

So we have A = bh/2

==> plug in b = 5 and h = 12

A = (12)(5)/2

==> multiply 12 and 5

A = 60 / 2

==> divide 60 by 2

A = 30

So the area of the triangle is 30cm²

Subtracting the area of the triangle from the area of the semicircle

Finally to find the area of the shaded region we subtract the area of the triangle from the area of the semicircle

We have area of triangle = 30cm² and area of semicircle = 66.366

So area of shaded region = 66.366 - 30 = 36.366

D , 36.6 is closest to our answer therefore the answer is D

[tex]\large \boxed{\sf y = (x - 2)^2 - 4}[/tex]

[tex]\large \boxed{\sf Quadratic \ Function}[/tex]

A linear function shall increase linearly. Here due to mass differences between points, it is visible that it is not a linear function.

There is a better way to understand what type of equation it is after plotting the coordinates on the graph.

After looking so, we can determine this as quadratic function.

** Not a exponential, inverse, linear function **

Quadratic function: y = a(x - h)² + k

Locate (h, k) = (2, -4)

Take any other suitable point for example = (0, 0)

Insert values to find (a),

a(0 - 2)² - 4 = 0

4a = 4

a = 1

Now Join together: y = 1(x - 2)² - 4   --- Quadratic Equation

Exponential

It should be a parabola

The best shortcut trick is the fact about the parabola is that parabola is symmetric and axis of symmetry goes through vertex

So on both sides of vertex i e same distance on x from vertex the two x values have same y value .

Observe the table and find similar y values

FIND midpoint of x which is axis of symmetry

We have been sured axis of symmetry is at x=2

Form equation

Put (5,5)

Final equation

Answer:

It's 90 if you go through k12 :]

Step-by-step explanation:

The number of ways to choose a combo meal is 24.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

2 drinks, 4 main dishes, and 3 desserts

Now,

To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

2 ways to choose a drink

4 ways to choose a main dish

3 ways to choose a dessert

2×4×3=24

Therefore, by algebra the answer will be 24.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

Step-by-step explanation:

The graph of the given function f(x)=2arcsin (x-4)+1, looks like the curve.

We have given that the function

f(x)=2 arcsin (x-4)+1,

We have to determine the graph of f(x)

Therefore we gave

Graph

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with.

The numbers x and y in the ordered pair (x, y) are called coordinates.

We find the coordinate of the given graphs and draw a graph of the given function.

x           f(x)

3          −π−1

7/2        −π/3−1

4            −1

9          2π/3−1

5            π−1

Therefore the graph of the given function is

To learn more about the graph visit:

https://brainly.com/question/4025726

#SPJ1

These same things are present

So

Answer:

[tex]\sf \overline{PQ}=12[/tex]

[tex]\sf \overline{UV}=10[/tex]

[tex]\sf \overline{TV}=7[/tex]

[tex]\sf m \angle T=45^{\circ}[/tex]

[tex]\sf m \angle R=75^{\circ}[/tex]

[tex]\sf m \angle Q=60^{\circ}[/tex]

[tex]\sf m \angle U=60^{\circ}[/tex]

Step-by-step explanation:

≅ sign means that the triangles are congruent, which means they both have the same shape and the same size.

When comparing congruent shapes, inspect the order in which the vertices are given in the statement.

Therefore, if ΔPQR ≅ ΔTUV then:

Similarly:

Therefore, from inspection of the triangles:

[tex]\sf \overline{PQ} \cong \overline{TU}=12[/tex]

[tex]\sf \overline{UV} \cong \overline{QR}=10[/tex]

[tex]\sf \overline{TV} \cong \overline{PR}=7[/tex]

[tex]\sf m \angle T \cong m \angle P=45^{\circ}[/tex]

[tex]\sf m \angle R \cong m \angle V = 75^{\circ}[/tex]

The sum of the interior angles of a triangle is 180°, therefore:

[tex]\sf m \angle Q \cong m \angle U=180^{\circ}-45^{\circ}-75^{\circ}=60^{\circ}[/tex]

Answer:

x = 6

Step-by-step explanation:

2x - 3 = 9

so 9+3 = 12, and 12÷2 = 6

the value of x is 6

Answer:

Step-by-step explanation:

7x - 3x = 92 - 24

4x = 68

x = 68 / 4

x =17

Answer:

143

Step-by-step explanation:

These are corresponding angles meaning they are congruent. So we just have to set them equal to each other and solve for x. Then plug in x.

7x + 24 = 3x + 92

subtract 3x from both sides

4x + 24 = 92

subtract 24 from both sides

4x  = 68

divide both sides by 4

x = 17

Now plug in x to angle A, which is 7(17) + 24

119 + 24

then add

you get:

143

Answer:

yes

Step-by-step explanation:

you seem to be correct

take two points

Slope

Answer:

[tex]m=\dfrac{7}{5}[/tex]

Step-by-step explanation:

To find the slope of a line, find two points on the line and define them as follows:

[tex]\textsf{let}\:(x_1,y_1)=(-3,-3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,4)[/tex]

Substitute the points in the slope formula and solve for m:

[tex]\begin{aligned}\textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{4-(-3)}{2-(-3)}\\\\ & = \dfrac{4+3}{2+3}\\\\ & = \dfrac{7}{5}\end{aligned}[/tex]

Therefore, the slope of the given line is [tex]\dfrac{7}{5}[/tex]

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

•Distribute

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

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

•Distribute

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

[tex]2x² + 2x1(x + 1)[/tex]

•Multiply

[tex]2x² + 2x + 1(x + 1)[/tex]

[tex]2x² + 2x + x + 1[/tex]

•Combine like terms

[tex]2x² + x + x + 1[/tex]

[tex]2x²+ 3x + 1[/tex]

Solution:

[tex]2x² + 3x + 1[/tex]

Explanation:

see the graph

Answer: 120

Step-by-step explanation:

Janet makes 60 in 8 hours

60 x 2

8 x 2

so the answer is 120

Answer:

120h = 5 days

240h = 10 days

144h = 6 days

720m = 1/2 (half a day)

13w = 91 days

please make this brainliest

Answer:

20

Step-by-step explanation:

You need to times 8*4 to get 32 therefore u times 5*4 to get 20

Step-by-step explanation:

a = -2

b = 3

c = 5

[tex]3ac - a + 2b[/tex]

= Solution,

= 3 ( - 2 ) × 5 - ( - 2 ) + 2 × 3

here ... ( + ) × ( - ) = ( - )

= - 6 × 5 - ( - 2 ) + 2 × 3

here .... ( - ) × ( - ) = ( + )

= - 6 × 5 + 2 + 2 × 3

= - 30 + 2 + 6

= - 30 + 8

here the ( - ) have greater variable so...

= - 22

hence - 22 is the answer . ....

Answer:

prior to

Step-by-step explanation:

Answer:

Area = 38 ft^2

Step-by-step explanation:

Divide two parts of a rectangle.

Big Rect: A = 10 ft * 3 ft = 30 ft^2

Small Rect: A = 2 ft * 4 ft =8 ft^2

Total Area = 30 + 8 = 38 ft^2

Answer:

does anyone know

Step-by-step explanation:

That is hard

Answer:

(C) The largest possible profit the company can make is 7 million dollars

Step-by-step explanation:

Proverbs 3:5-6

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

Trust in the Lord with all your heart

   and lean not on your own understanding;

in all your ways submit to him,

   and he will make your paths straight.

_________________________________________________________

Have a blessed day!!

:)

Answer:

A or B ( if it is multiple choice as B is the answer to A)

Answer:

C and E

Step-by-step explanation:

C and E are both equal to (2^3)^4

Answer:

The answer is D

Step-by-step explanation:

Draw the point at which your circle will be centered.

Use a compass to draw a perfect circle centered at point O.

Use a ruler to draw a vertical line straight through point O.

Draw the points at which the line intersects the circle.

Draw a second circle. This circle will be centered at Point W and the radius will extend to Point O.

Mark both places where the two circles intersect. Label the point on the left "Point Y" and the point on the right "Point Z".

Connect points X, Y, and Z using a ruler or straight edge.

Answer:

For me, this quadratic expression can simply be factored by 4 because all the values divide by four. so:

[tex]4( {2}t^{2} - 4t - 1)[/tex]

Step-by-step explanation:

Just factor it by 4

Answer:

4(2t^2 - 4t - 1)

Step-by-step explanation:

8t²-16t-4​

= 4(2t^2 - 4t - 1)

2t^2 - 4t - 1  is prime so there are no more factors.

Answer:

[tex]{ \underline{ \underline{ \mathfrak{ \: answer : \: \: { \tt{ \sin(D) = \frac{ \sqrt{2} }{2} \: \: }} }}}}[/tex]

Step-by-step explanation:

[tex]{ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ [/tex]

[tex]{ \tt{h = \sqrt{ {(opposite)}^{2} + {(adjacent)}^{2} } }} \\ { \tt{h = \sqrt{ 2{(2 \sqrt{15}) }^{2} } }} \\ { \tt{h = \sqrt{2(4 \times 15)} }} \\ { \tt{h = \sqrt{120} }}[/tex]

Therefore:

[tex]{ \tt{ \sin(D) = \frac{2 \sqrt{15} }{ \sqrt{120} } }} \\ \\ { \tt{ \sin(D) = \frac{2 \sqrt{15} }{2 \sqrt{15 \times 2} } }} \\ \\ { \tt{ \sin(D) = \frac{1}{ \sqrt{2} } }} \\ \\ { \boxed{ \tt{ \sin(D) = \frac{ \sqrt{2} }{2} }}}[/tex]

Explanation:

We can think of the square in the middle of the four others as the floor

The surrounding four squares are the walls that fold upward.

The square at the very right side will then form the ceiling.

Side E and side L join at the top left edge.

See the diagram below.

Answer:

Here!! Hope i helped.