What is the measure of EAC?


In circle O, AD and BE are diameters. The measure of arc


AB is 55° and the measure of arc CD is 25°.


100°


125°


235°


280°

Answer:

108 units²

Step-by-step explanation:

The surface area is the sum of the areas of  all the faces

There are 3 rectangular faces ( base, back and sloping face )

There are 2 congruent triangular faces ( sides )

area of base = 8 × 4 = 32 units²

area of sloping face = 8 × 5 = 40 units²

area of back = 8 × 3 = 24 units²

area of triangles = 2 × [tex]\frac{1}{2}[/tex] × 4 × 3 = 4 × 3 = 12 units²

Thus

surface area = 32 + 40 + 24 + 12 = 108 units²

Answer:

Tricia is correct because the sides of the triangle are congruent since they are  equidistant from the center of the circle.

Step-by-step explanation:

Given that the sides of ΔABC inscribed in a circle are equidistant from the center. This implies the triangle is drawn within the circumference of the circle with a center.

Bisecting the three sides of the triangle shows that the three bisectors intersect at a point which is the center of the circle, and the lines are equidistant to this point. This proves that the length of the sides of the triangle are equal, so that the triangle is an equilateral triangle. Therefore, Tricia's statement is correct.

Answer:

1124.

Step-by-step explanation:

The common difference (d)   is -16 - (-28) = 12,  ( also -28 - (-40) = 12).

The nth term of an A.S.  is a1 + d(n - 1)  where a1 = first term, d=common difference.

so the 96th term of the given A.S. is:

-16 + 12(96 - 1)

= -16 + 12*95

= 1124.

-1156Answer:

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

In the figure attached,

A straight line is passing through two points (0, 2) and (3, 1).

Slope of this line ([tex]m_1[/tex]) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                   = [tex]\frac{2-1}{0-3}[/tex]

                                   = [tex]-\frac{1}{3}[/tex]

Let the slope of a parallel to the line given in the graph = [tex]m_2[/tex]

By the property of parallel lines,

[tex]m_1=m_2[/tex]

[tex]m_2=-\frac{1}{3}[/tex]

Equation of a line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of the parallel line which passes through (-3, 0) and having slope = [tex]-\frac{1}{3}[/tex] will be,

[tex]y-0=-\frac{1}{3}(x+3)[/tex]

[tex]y=-\frac{1}{3}x-1[/tex]

Option (B). will be the answer.

Answer:

Inequality form

x </ 22

Interval Notation

(-∞,22]

Step-by-step explanation:

Solve for x by simplifying both sides of the inequality, then isolating the varible

Answer:

Option A

Step-by-step explanation:

Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;

[tex]3x - 5 = 4 + 8x[/tex]

where x = " the number "

[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]

If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.

Answer:

b) 5π/4

c) 7π/4

e) 13π/4

Step-by-step explanation:

sin θ = -½√2

There's really no algebra to be done here.  There are two ways you can solve.  One, you can use a calculator.  Two, you can memorize your unit circle.

Either way, it helps to draw the unit circle.  sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2.  This happens at two places: θ = 5π/4 and 7π/4.

Next, we need to check the options that are greater than 2π.

9π/4 is the same as π/4.

13π/4 is the same as 5π/4.

So the three correct answers are 5π/4, 7π/4, and 13π/4.

Answer:

B

C

D

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.

The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.

Answer: -2

Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.

Notice that the graph shown here hits the y-axis at -2.

So the y-intercept of this graph is -2.

Answer:

Ab, De

Step-by-step explanation:

You need the base and the height in order to find out if the triangles are similar

Answer:

B) 16

Step-by-step explanation:

Answer:

B. 16

Step-by-step explanation:

CAH = Adjacent/Hypotenuse

cos60=8/x

xcos60=8

x= 8/cos60

x=8/0.5

x= 16

Step-by-step explanation:

[tex] f(x) = 6x -4 \\ f(8) \\ f(x) = 6(8) - -4 \\ f(x) = 48 - 4 \\ f(x) = 44

[/tex]

Answer:

C.44

Step-by-step explanation:

Basically, the question is asking for you to plug in 8 for x into the equation, since the function of x is represented by the equation. Therefore, plug in 8 into the equation like this: 6(8)-4

Multiply 6 and 8, then subtract 4 from the product to get your answer

Answer:

Initially, they have £28 altogether

Step-by-step explanation:

Obi: Rudy=5:2

this means that Obi had 5x and Rudy has 2x in their wallets.

Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy

thus,

2x-(5x-20) =8

2x-5x+20=8

-3x=-12

x=4

obi =5x

=5*4

=20

Rudy =2x

=2*4

=8

This means that initially Obi had £20 and Rudy had £8

Total if Rudy and obi

=£8+£20

=£28

Answer:

60

Step-by-step explanation:

hexagon is 6 sided shape. 10 * 6=60

Answer:

[tex]t = \frac{w + 6}{v} [/tex]

[tex]vt - 6 = w \\ vt = w + 6 \\ \frac{vt}{v} = \frac{w + 6}{v} \\ t = \frac{w + 6}{v} [/tex]

Answer:

t as a subject

Answer:

t = w+6 / v

Answer:

Step-by-step explanation:

The vertex, or work, form of a parabola is

[tex]y=(x-h)^2+k[/tex], where h and k are the coordinates of the vertex. If the parabola has the equation

[tex]y=(x-2)^2+5[/tex], the vertex is sitting at (2, 5)---> (h, k). h = 2, k = 5. If we have nothing in a set of parenthesis with the x, there is no side to side movement. Our parabola does not have any parenthesis around the x, so no side to side movement. But it does have a -5. That means that the parabola has moved DOWN 5 units from its starting position of (0, 0). -k means the parabola moves down; +k means the parabola moves up.

So our parabola has shifted 5 units down, choice C.

Answer:

Part A:

x = 80 degrees

Part B:

A => Corresponding Angles (They correspond to each other)

Hope This Helps!

Don't hesitate asking anything regarding this!

Answer:

I got 936 cm² as an answer

I hope it right

I hope it helps

The total surface area of the given triangular prism is 936 cm².

Triangular prism is a three dimensional object which has three rectangular sides and two triangular bases.

So it has three side faces and two base faces.

Triangular prism has two triangular sides and three rectangular sides.

Area of one triangular side = 1/2 bh, where b is the base and h is the height.

Area of two triangular sides = 2 × 1/2 b h = b h

                                                                    = 24 × 18

                                                                    = 432 cm²

Area of a rectangular side = l b, where l is length and b is breadth.

Area of one rectangular side = 30 × 7 = 210 cm²

Area of second rectangular side = 24 × 7 = 168 cm²

Area of third rectangular side = 18 × 7 = 126 cm²

Total surface area = 432 cm² + 210 cm² + 168 cm² + 126 cm²

                               = 936 cm²

Hence the total surface area of the triangular prism is 936 cm².

To learn more about Triangular Prisms, click on the link :

https://brainly.com/question/24046619

#SPJ2

Answer:

1865=100%

1240=less

1240/1865*100

=66,48%

100%-66,48

=33,5 (percent decrease)

Answer:

33.5%

Step-by-step explanation:

Step-by-step explanation:

Girls - 2 over 5 times 250 over 1 = 100

Boys - 3 over 10 times 250 over 1 = 75

Total number of people - Girls + Boys

250 - 100 + 75

250 - 175 = 75

Therefore,

Adult = 75

Answer:

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative

Answer:

A =7  B=14

Step-by-step explanation:

AREA OF RING

PERIMETER OF RING

Answer:

GH¢72,000

Step-by-step explanation:

Let total property=x

1/4 of x = his son

1/4x=son

Total remaining

x-1/4x= 3/4x

2/3 of 3/4x=internal family

2/3×3/4x

=6/12x

=1/2x

Remainder=3/4x-1/2x

=1/4x

5/6 of what remained to his wife

5/6 of 1/4x

5/6×1/4x

=5/24x

Remainder=GH¢ 3000 to his local church

1/4x-5/24x=GH¢3000

1/24x=GH¢3000

x=GH¢3000÷1/24

=GH¢3000×24/1

=GH¢72,000

The value of his property=

GH¢72,000

Answer:

the last option, all nums greater than -3

Step-by-step explanation:

Answer:

I went into snippet and graphed the equations in the JPG.

Step-by-step explanation:

To start off, we'll begin with the first equation: y=-3x+8

When graphing an equation you want to find the y intercept first (where the line meets the y axis). In this equation the y intercept is the positive 8. You will count 8 up the y axis to find your first point in this equation, (0,8)

Next you will use the slope given to finish graphing the equation. The slope in this equation is -3x or -3/1x. Starting from point (0,8) you will travel down three and to the right once. This will give you your next point of the line (1,5) You will continue this process, traveling down three and to the right one starting from the point you left off on. Your final points of the line for the first equation are: (0,8) (1,5) (2,2) (3,-1) (4,-4) and (5,-7). Graph these 6 points and draw a line connecting them together.

Now for the next equation: y=4/5x-1

Like the last equation you will need the Y intercept first and this equation's is -1, so you will travel down one along the y axis, making the first point for this equation (0,-1)

Following the same steps as the last equation, you will now graph the slope which is 4/5x, meaning you will travel up 4 and to the right 5. The final points you should have for this equation on the graph are: (0,-1) (5,3) and (-5,-5). Draw the line connecting these points together and there you have it, the second equation on a graph.

P.S- Sorry the graphs are sloppy it's kind of hard to graph using a computer mouse

Answer:

It is a diagnal line that goes through (0,0) and (1,1) and has a slope of 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

Answer:

c

Step-by-step explanation:

ape x

Answer:

-4/7, -1/19, 7/4

Step-by-step explanation:

The fractions converted into decimals would be -0.05, 1.75, -0.57

Answer:

[tex]y = 0[/tex]

Step-by-step explanation:

Given

Line segment JK

[tex]J = (1,-10)[/tex]

[tex]K = (7,2)[/tex]

Ratio; [tex]m:n= 5:1[/tex]

Required

Find the coordinates of y

From the question; the formula to use is

[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex]

We have that; m = 5; n = 1

[tex]J =(x_1, y_1) = (1,-10)[/tex]

Hence, [tex]y_1 = -10[/tex]

[tex]K = (x_2,y_2)= (7,2)[/tex]

Hence, [tex]y_2 =2[/tex]

Substitute the above values in the given formula;

[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex] becomes

[tex]y = (\frac{5}{5+1})(2 - (-10)) + (-10)[/tex]

Solve brackets

[tex]y = (\frac{5}{6})(2 +10)) - 10[/tex]

[tex]y = (\frac{5}{6})(12)) - 10[/tex]

Open bracket

[tex]y = \frac{5}{6} * 12 - 10[/tex]

[tex]y = \frac{5*12}{6}- 10[/tex]

[tex]y = \frac{60}{6}- 10[/tex]

[tex]y = 10 - 10[/tex]

[tex]y = 0[/tex]

Answer: 0

Step-by-step explanation:

Answer:

[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]

and it is the special factor product that leads to a difference of squares

Step-by-step explanation:

The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]

is a product of the form:

[tex](a-b)\,(a+b) = a^2-b^2[/tex]

which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex]  are the factors of the difference of squares [tex]a^2-b^2[/tex].

In our case, the product:

[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]

Answer:

B

Step-by-step explanation: