give a definition for each of the following terms. are there other terms that need to be defined first? what are they and how might you define them?
(i) parallel lines
(ii) perpendicular lines
(iii) line segment
(iv) radius of a circle
(v) square​

Answer:

cone a is the correct answer

the third choice is the cirrect answer.

the cone with a 4.5 cm height and a 8cm diameter

hope this helps :)

Answer:

6π

Step-by-step explanation:

Formula: C=2πr

C=2π3

C=6π

Take a deep breath and try to study right before the exam. Use your time on the exam wisely because it time goes away fast. Study the basics and formulas. Have a good exam your going to do good!!!

Answer:

Step-by-step explanation:

[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]

Answer:

-343/8 or -42 7/8

Step-by-step explanation:

7(-49/8) = -343/8 or -42 7/8

Answer:

16 x¹⁰ + 88 x⁵ + 121

step-by-step explanation:-

( 4 x⁵ + 11)²

( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²

calculate we get

16 x¹⁰ + 88 x⁵ + 121

Answer:

see below

Step-by-step explanation:

24 = c + -10

Add 10 to each side

24+10 = c-10+10

34 = c

Check

24 = 34 + -10

24 = 24

This is a true statement so it is a solution

Answer:I honestly don’t know.....

im so sorry

Step-by-step explanation:

Answer:

IDR 3,651.04

Step-by-step explanation:

4x24=96

96x2,400=230,400

230,400+50,000=280,400

280,400x1.25=350,500

350,500/96=3,651.04

IDR 3,651.04

Answer:

3651 IDR

Step-by-step explanation:

I need to make some assumptions, as the problem description is sometimes too vague.

I assume the delivery charge to cover all 4 boxes as one lump sum.

4 boxes with 24 pouches each.

=> Roma has 96 pouches total.

each pouch cost 2400. that is in total

96×2400 = 230400 IDR

then there is the delivery charge of 50000 for everything.

so, the total costs for Roma are

230400 + 50000 = 280400 IDR

25% profit means that the total sales (assuming all pouches are sold) is 25% higher than the costs.

profit = 280400 + 25%

25% is 1/4 of the total (as 25%×4 = 100%).

25% = 280400 / 4 = 70100.

so, in order to make 25% profit the total sales price (for all pouches sold) has to be

280400 + 70100 = 350500 IDR

now, we have 96 pouches. after selling all 96 pouches we need to have an income of 350500 IDR.

the price for each pouch has to be an equal share of the 350500.

pouch price = 350500 / 96 = 3651 IDR.

Answer:

6574900

Step-by-step explanation:

Answer:

6,574,900

Step-by-step explanation:

have a good day

Step-by-step explanation:

Correct option is

A

x= 4 and y = 5

Let the parallelogram be ABCD Perimeter= 40cm

AB =3x cm BC=2x cm(given)

Perimeter of parallelogram 2(3x+2x)=40

solving equation we get x=4

Also,AB=CD(opposite sides of parallelogram) 3x=2(y+1) (given)

Putting x=4

3(4)=2y+2

12=2y+2

10=2y

Hence y=5 and x=4

I don't see the grid? did you attach a photo?

Answer:

44

Step-by-step explanation:

10 x 3 = 30

8 + 6 =14

30 + 14 = 44

Answer:

110ft²

Step-by-step explanation:

Area of figure=(10×8)+(1/2×6×8)

=80+24

=112 ft²

=110 ft² (to nearest tenth)

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6   {-12*6 = -72  & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0   {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

Answer:

Line AC

Step-by-step explanation:

Given

See attachment for triangles

Required

60 degrees clockwise rotation about A

Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]

So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.

The closest is line AC;

Hence, AC is [tex]60^o[/tex] clockwise of point A

Answer:

1 : 2.5

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

2(x-y)=3y

divide both sides of the equation by 2

x - y = 3y/2

x - y = 1.5y

combine like terms together

x = 1.5y + y

x = 2.5y

ratio of x : y

1 : 2.5

Given:

In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.

To find:

The value of x and y.

Solution:

In triangle ABC,

[tex]AB=AC[/tex]                    (Given)

So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.

In isosceles triangle ABC,

[tex]\angle B\cong \angle C[/tex]

[tex]m\angle B\cong m\angle C[/tex]

[tex]m\angle B\cong 49^\circ[/tex]

The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.

[tex]m\angle ADB=90^\circ[/tex]

[tex]x^\circ=90^\circ[/tex]

In triangle ABD,

[tex]m\angle DAB+m\angle ABD+m\angle ADB=180^\circ[/tex]         [Angle sum property]

[tex]y^\circ+49^\circ+x^\circ=180^\circ[/tex]

[tex]y^\circ+49^\circ+90^\circ=180^\circ[/tex]

[tex]y^\circ=180^\circ-49^\circ-90^\circ[/tex]

[tex]y^\circ=41^\circ[/tex]

Therefore, the correct option is B.

Answer:

h(4) = 0

Step-by-step explanation:

Hoping its ' kx '

[tex]h(x) = x^2 + kx -8 \\\\h(-1) = (-1)^2 + k(-1) - 8\\\\-5 = 1 - k -8\\\\-5 = -k -7\\\\-5 + 7 = -k\\\\2 = -k\\-2 = k[/tex]

Now we have k = -2. We will find h(4).

[tex]h(4) = (4)^2 + (-2)(4) - 8 = 16 -8 - 8 = 0[/tex]

Answer:

h(4) = 0

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

To find the value of h(4) , you need to find 'k' first by using the given facts.

[tex]h(-1) = (-1)^2 + k(-1) - 8 = -5[/tex]

[tex]=> 1 - k - 8 = -5[/tex]

[tex]=> -k - 7 = -5[/tex]

[tex]=> -k - 7 + 7 = -5 + 7[/tex]

[tex]=> -k = 2[/tex]

[tex]=> -k(-1) = 2(-1)[/tex]

[tex]=> k = -2[/tex]

Putting the value of k,

[tex]h(4) = (4)^2 + (-2)(4) - 8[/tex]

       [tex]= 16 - 8 - 8[/tex]

       [tex]= 16 - 16[/tex]

       [tex]= 0[/tex]

Answer:

Step-by-step explanation:

this is no wrong thi is perfect answer ok

heart follow and star

Answer:

Answer = 32

Step-by-step explanation:

p= 8

4p

(4)(8)

=32

Answer:

I got, 8 x 4 = 32

Answer:

B) & C)

Step-by-step explanation:

___________________

Answer:

D or y-25=2(x-10)

Step-by-step explanation:

If you graph all or the answers the only one that hits both points is D.

Answer:

C.

Step-by-step explanation:

15^2 not = 6^2 + 11^2.

Answer:

A= third interior angle

108+24+A=180

A=180-24-108

A=48

Step-by-step explanation:

Answer: 104 boxes were sold in 1 week.

Step-by-step explanation:

I think I'm right sorry if I'm not, good luck!

Answer: First Week: 104 Second Week:109 Third Week: 218

sorry for being a year late

Answer:

x+133 =131

x. =131-133

x. =(-2)

Answer:

68

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part C: (Explanation with steps)

Let the length of the swimming pool = l feet

And width of the pool = w feet

Perimeter of the pool = 2(l + w) feet

Since, perimeter of the pool = 8 feet

2(l + w) = 80

l + w = 40

l = (80 - w) -------(1)

Area of the pool = Length × width

A(w) = l × w

By substituting the value of l from equation (1)

A(w) = (80 - w) × w

A(w) = 80w - w²

To find the maximum area of the pool we will find the derivative of the function with respect to 'w' and equate it to zero.

A'(w) = 80 - 2w

(80 - 2w) = 0

w = [tex]\frac{80}{2}[/tex]

w = 40 feet

Therefore, for width (w) = 40 feet area of the pool will be maximum.

From equation (1),

l = 80 - 40

l = 40 feet

Therefore, maximum area of the pool = l × w

                                                               = 40 × 40

                                                               = 1600 square feet

Part A:

Function representing area of the pool,

A(w) = -w² + 80w

Part B:

Maximum area of the surface of the pool = 1600 square feet

Answer:

A(-1,1) B(-3,2) C(-3,4) D(-1,5)

Step-by-step explanation:

when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.

Answer:

Step-by-step explanation:

Thank your for revising and improving the image.

Assuming DF is a straight line,

Given E is the mid-point of DF

mCE = mGF

CE || GF

Then

mDE = mEF (E midpoint of DF)

Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)

mCE = mGF (given)

Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)