how long will the other side be ?

Answer:

2/10

Step-by-step explanation:

Ms. Geiger made 100 cupcakes.

a) Number of chocolate

60/100 were chocolate

= 60/100 × 100 = 60 chocolate cup cakes

b) Number of vanilla

2/10 were vanilla

Hence:

2/10 × 100 = 20 vanilla cup cakes

c) the rest were red velvet.

Number rod red velvet = 100 - (60 + 20)

= 100 - 80

= 20 velvet cupcakes

What fraction of the cupcakes were red velvet?

Converting to fraction

Number of velvet cupcakes/Total number of cakes

= 20/100

= 2/10

Answer:

perimeter of rectangular enclosures =30m

2(l+b)=30m

l+b=30/2

l=15-b..........1

now

since it has equal area their l and breadth too are equal

new

perimeter =15/2=7.5m

the dimensions of one rectangular enclosure is 7.5m.

Answer:

33 student tickets were sold. 70 ADULT TICKETS WERE SOLD.

Step-by-step explanation:

If

173

tickets were of adult total collection would be of

173

⋅

4.00

=

$

692.00

Difference of collection

(

692.00

−

642.50

)

=

$

49.50

is due to student concession of

(

4

−

2.50

)

=

$

1.50

per ticket.

Therefore number of student tickets were

49.50

1.50

=

33

PROOF:

4*70+2.5*30=355

280+75=355

355=355

y = [tex]\frac{-5}{4}[/tex]x + 3

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c or            -------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope m given by;

m = [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]

m = [tex]\frac{-2-3}{4-0}[/tex]

m = [tex]\frac{-5}{4}[/tex]

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = [tex]\frac{-5}{4}[/tex] into equation (ii) as follows;

y - 3 = [tex]\frac{-5}{4}[/tex](x - 0)

(iv) Solve for y from (iii)

y - 3 = [tex]\frac{-5}{4}[/tex]x

y = [tex]\frac{-5}{4}[/tex]x + 3 [This is the slope intercept form of the line]

Where the slope is [tex]\frac{-5}{4}[/tex] and the intercept is 3

Answer:

The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.

Step-by-step explanation:

natural log = ln= log base e = logₑ

normal log = log = log base 10 = log₁₀

when someone says log you consider it log₁₀

when someone specifically says natural log or ln you consider logₑ

Answer:

[tex]-62024.48[/tex]

Step-by-step explanation:

Given

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5][/tex]

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ][/tex]

Solve the expressions in the inner brackets

[tex][ 4 * 7 ] - 3 [ 2 \div 1 2 ] * 2 ( 8.4 ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

Solve all divisions

[tex][ 4 * 7 ] - 3 * \frac{1}{6} * 2 ( 8.4 ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

[tex][28] - 0.5 * (16.8) * (4) [9] * (21.6) * [9.5][/tex]

[tex][28] - 0.5 * (16.8) * [36] * (21.6) * [9.5][/tex]

Multiply through

[tex]28- 62052.48[/tex]

[tex]-62024.48[/tex]

Answer:

C7t

Step-by-step explanation:

Answer: reflection across the x = -y B

Step-by-step explanation:

Answer:

1, 3, 5

Step-by-step explanation:

just took the edge.

The area of the sector is 250 units². Therefore, the correct option is option A among all the given options.

A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also called as an arc) and two of its radii meet, a sector is produced. A sector of such a circle resembles a piece of pizza or a pie in shape.

A circle ranks among the most ideal shapes in geometry. The simplest geometric shape is that of a circle's sector. It has a number of its own components. such as sector, segmentation, circumference, segment, and diameter. The area of the sector is 250 units².

Therefore, the correct option is option A.

To know more about sector of circle, here:

https://brainly.com/question/15591260

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Answer:

Huh I don’t understand this one but I got you

Step-by-step explanation:

Answer:

i dont think that you can

perhaps attatch a file of a drawing to the question you are answering for school

Step-by-step explanation:

Answer:

Answer the question according to general rules of academic writing. Use indentations; begin each paragraph with a topic sentence; support the topic sentence(s) with reasons and/or examples; use transition words to show logical organization; write a conclusion. Use correct punctuation throughout.

Step-by-step explanation:

i dont know is this what u meant lol

Answer:

644 cm^2

Step-by-step explanation:

10*7*2+12*7*2+12*10=140+168+120=428

10*12-3*3=111

428+111=539

8*3*4+3*3=96+9=105

539+105=644

Answer:

B

Step-by-step explanation:

Answer:

The value of x is 70

Step-by-step explanation:

Here, we want to find the value of x

To do this, we are going to use one of the circle tangent relationships

we have this as;

24 = (118-x)/2

2(24) = 118-x

48 = 118-x

x = 118-48

x = 70

Answer:

y = 9x - 15

Step-by-step explanation:

The given y = 9x - 5 is already in slope-intercept form.  Any line parallel to this one has an equation that looks exactly the same except for the constant term.  Call the new constant term 'C.'

Start with y = 9x - 5 and substitute the coordinates of the given point (-1, 6):

6 = 9(-1) + C, or

6 + 9 = C, or

C = 15

Then the equation of the line that passes through (-1, 6) and is parallel to y = 9x - 5 is

y = 9x - 15

Answer:

do you mean to put it in y=mx+b form because that would be y=2+2

Answer: y=x estimate: 88

Step-by-step explanation:

Answer:

126/14

9 is the answer

width=area/breadth

Step-by-step explanation:

hope this will help you

Answer:

1/4

Step-by-step explanation:

2 outcomes out of a possible 8.

p(HHH or TTT) = 2/8 = 1/4

Given:

The point is (-8,3).

To find:

The image of the given point after a rotation of 270 degrees counterclockwise about the origin.

Solution:

If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex](-8,3)\to (3,-(-8))[/tex]

[tex](-8,3)\to (3,8)[/tex]

Therefore, the  image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).

Answer:

75.4m²

Step-by-step explanation:

The shape shown is a cylinder

The volume of a cylinder can be calculated using this formula:

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

The cylinder shown has a radius of 2m and a height of 6m

Using this information we plug in the values into the formula

[tex]V=\pi 2^26\\2^2=4\\4\pi =12.56637\\12.56637*6=75.39822[/tex]

So the area of the cylinder is 75.39822

Our final step is to round to the nearest hundredth

The final answer would be 75.4m²

AB is a  a straight line and AC is a tangent to the circle, then the

(a) ∠AOC = 58°  

(b) ∠BDC = 32°  

(c) ∠ACD = 148°

According to the figure,

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

It is the line which intersects the circle exactly at one point.

(a) Find m ∠AOC

Sum of three angles of a triangle is = 180°

So, in Triangle AOC = 180°

∠A + ∠O + ∠C = 180°

See in Image, ∠A and ∠C are 90° and 32°

∠A + ∠O + ∠C = 180°

We can substitute these values,

∠O = 180 - ∠A - ∠C

∠O = 180 - 90 - 32

∠O = 58°

∠AOC = 58°  

(b) ∠BDC is a parallelogram,

So,

Opposite angle is equal,

∠BDC = ∠ABC

∠BDC = 32°     ( since ∠ABC = 32°  )

(c) Find m ∠ACD

Sum of three angles of a triangle is = 180°

So, in Triangle ACD = 180°

∠A + ∠C + ∠D = 180°

See in Image, ∠A and ∠D are 90° and 32°

∠A + ∠D + ∠C = 180°

We can substitute these values,

∠C = 180 - ∠A - ∠D

∠C = 180 - 90 - 32

∠C = 58°

Now,

∠ACD = 90 + 58

∠ACD = 148°

Therefore,

The circumference of tangent to the circle,

(a) ∠AOC = 58°  

(b) ∠BDC = 32°  

(c) ∠ACD = 148°

To learn more about information visit Tangent of the circle :

brainly.com/question/21474278

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Answer:

Step-by-step explanation:

Answer: Rectangle

Step-by-step explanation: A rectangle has opposite sides which are parallel and congruent and a rectangle must have a right angle

Answer: C. 0.8p

Step-by-step explanation:

Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price

Answer: 3¹/₃ boxes

Step-by-step explanation:

She made enough fudge to fill up 5 boxes then made 2/3 as much peanut butter.

To find out the number of boxes the peanut butter would fill, simply find out what is 2/3 of 5 boxes:

= 2/3 * 5

= 3.33 boxes

= 3¹/₃ boxes