Ali played on his PSP for 3/4 hour.
He then did his homework for 2/3 hour.
On which activity did he spend more time on ?

The value of c forms a perfect square of expression x² + 8x + c is 16. thus option D is correct.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

It is given that x² + 8x + c

So, value of c to form a perfect-square trinomial = (1/2 b)²

= (1/2 × 8)²

= 4²

= 16

Thus the value of c forms a perfect square of expression x² + 8x + c is 16.

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Answer:

a) 5.7 cm

b) 3.05 cm

Step-by-step explanation:

a)

Since BE is parallel to CD,

Then AB/AC = BE/CD

So Length of CD = 12.3/8.2 x 3.8 = 5.7 cm

b)

AB/AC = AE/AD

So length of AE = 8.2/12/3 x 9.15 = 6.1 cm

ED = AD - AE = 9.15 - 6.1 = 3.05 cm

Let's see point E in its original position: (3.-4)

Now lets transform the point (x,y) -->  (x + 8, y +5)

               (3, -4) --> (3 + 8, -4 + 5) --> (11, 1)

Therefore coordinate E's new position is (11, 1)

Hope that helps!

Answer:

like fractions have the same denominator. So A is correct

Step-by-step explanation:

linear pair

linear pair

alternate angles.

alternate angles

cointerior angles

I will hope that you like my answer

so point C would be on Quadrant I

T on Quadrant II, H on Quadrant III and R is not really on a quadrant, the coordinate is on the X axis.

Answer:

[tex]\displaystyle m = 10[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{60}{6} = \frac{6m}{6} \\ \\ \boxed{10 = m}[/tex]

I am joyous to assist you at any time.

Answer:

[tex]\sf{m=10}[/tex]

Step-by-step explanation:

The value of m must be found from one side of the equation in order to solve this problem.

6m=60

First, divide by 6 from both sides.

[tex]\sf{6m=60}[/tex]

[tex]\sf{\dfrac{6m}{6}=\dfrac{60}{6} }[/tex]

Then, solve it.

[tex]\boxed{{\sf{m=10}}}[/tex]

Therefore, the correct answer is m=10.

I hope this helps you! Let me know if my answer is wrong or not.

Answer: this is a function.

f(x)=y

Step-by-step explanation:

domain -> 1,2,3

values: 3,7,-1

Answer:

191

Step-by-step explanation:

do the frame with the pic first that is

28*24=672

next just the pic

24*20=480

next subtract the pic from the frame

672-480=191

Answer: 94 degrees

Step-by-step explanation:

Answer:

B or 4[tex]\sqrt[]{3}[/tex]

Step-by-step explanation:

I could be wrong as I'm very new to this math but I believe its 4[tex]\sqrt{3}[/tex]

Answer:

[tex]8x\sqrt{3xy[/tex]

Step-by-step explanation:

6x+1-(3x-1)

=3x+2

Answer:

  27 units

Step-by-step explanation:

A midpoint divides a line segment into two congruent parts. K being the midpoint of segment JL means ...

  JK = KL

  8x +11 = 14x -1 . . . . . substitute given expressions

  12 = 6x . . . . . . . . add 1 -8x

  2 = x . . . . . . . . divide by 6

Then the length of JK is ...

  8x +11 = 8(2) +11 = 27

JK is 27 units long.

_____

Additional comment

KL = JK = 27 units

JL = 2(27 units) = 54 units

Answer:

you will fill 78 boxes

Step-by-step explanation:

dozen = 12

936 divided by 12=78

Answer:

She spent $3.65 on the notebook

Step-by-step explanation:

5.76 + 3.42 = $9.18

12.83 - 9.18 = $3.65

Answer:

Question 1 )

given ,

height of cylinder = 9 cm

diameter of cylinder = 10 cm

[tex]\dashrightarrow \: radius = \frac{10}{5} \: cm \\ [/tex]

now ,

[tex]Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} [/tex]

therefore ,

option (C) is correct.

______________________________________

______________________________________

Question - 2 )

dimensions of the rectangular prism are 2 × 3 × 4

[tex]Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} [/tex]

hope helpful :D

The volume of the cylinder is 225 [tex]\rm cm^3[/tex]  and the lateral surface area of the rectangular prism is 36 square cm.

It is given that the radius of the cylinder is 10 cm and height is 9 cm.

It is required to find the volume of the cylinder.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder given by:

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

We have diameter = 10 cm

Radius r = 10/2 = 5 cm

and height h = 9 cm

Volume will be:

[tex]\rm V= \pi \times5^2 \times 9[/tex]

V = 225π cubic cm

For the lateral surface area = 2h(l+b)

= 2×3(4+2)

= 36 square cm

Thus, the volume of the cylinder is 225 [tex]\rm cm^3[/tex]  and the lateral surface area of the rectangular prism is 36 square cm.

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Answer:

Solid A

Step-by-step explanation:

Surface area of a cube: 6 x a², where a is the side.

= 6 x 6²

= 6 x 36

= 216 cm²

Surface area of the cuboid/rectangular prism: 2(lw + wh + lh), where l is the length, w is the width, h is height.

= 2((5 x 4) + (4 x 8) + (5 x 8))

= 2(20 + 32 + 40)

= 2(92)

= 184 cm²

Therefore, Solid A has the larger surface area compared to Solid B.

Answer:

y = 4

Step-by-step explanation:

Given:

[tex]-12=-3y[/tex]

Solve:

[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]

[tex]\frac{-3y}{-3}=\frac{-12}{-3}[/tex]

[tex]\mathrm{Simplify}[/tex]

Note: Negative + Negative = positive

y = 4

~lenvy~

Answer: The answer is two

Step-by-step explanation:

Answer:

the measure of ∠1 is 92 degrees

Step-by-step explanation:

Answer:

Height = 9 cm

Volume = 243 cm³

Surface area = 270 cm²

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.

The height of the prism is also called the length, and is the measure of the length that connects the two bases.  
So for this prism the height is 9 cm.

Area of the base = (6 × 3) + (3 × 3)

                            = 18 + 9

                            = 27 cm²

Volume of a prism = area of the base × height

                               = 27 × 9

                               = 243 cm³

Total surface area = (2 × base area) + side areas

                              = (2 × 27) + 2(6 × 9) + 4(3 × 9)

                              = 54 + 108 + 108

                              = 270 cm²

Answer:

x = -5

Step-by-step explanation:

You have to work backwards.

53 + 7 = 60

60 ÷ 12 = 5

Add the negative »»» -5

Answer:

Deductible

Step-by-step explanation:

you pay the first $1,000 of covered services yourself

$1000 represents the deductible amount.

In the case of an accident, the policyholder must pay a deductible as the first amount; the insurance company will only cover any expenses (losses) incurred after the deductible has been paid by the policyholder.

The consumer can first set his deductible while purchasing insurance.

Smaller deductibles often result in higher rates, and larger deductibles frequently result in lower premium payments.

The insurance company has asked Manny to pay the first $1000 in an instance when he was involved in an accident and incurred charges totaling $11,500. The $1,000 deductible amount.

Hence, the answer is deductible amount.

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Answer:

b ≈ 18.3303

[tex]b = \sqrt{{c}^{2} - {a}^{2} } [/tex]

[tex]b = \sqrt{ {19}^{2} - {5}^{2} } [/tex]

[tex]b = 18.3303[/tex]

We have sides of triangle as [tex]4.5[/tex] inches, [tex]6[/tex] inches and [tex]7[/tex] inches.

So the sum of square of two smallest side is-

[tex]=4.5^2+6^2[/tex]

[tex]=20.25+36[/tex]

[tex]=56.25[/tex]

Now lets find the value of square of longest side of triangle-

[tex]=7^2[/tex]

[tex]=49[/tex]

Now from both value

[tex]49[/tex] [tex]\neq[/tex] [tex]56.25[/tex]

[tex]7^2[/tex] [tex]\neq[/tex] [tex]4.5^2+6^2[/tex]

So from Pythagoras theorem the given triangle is not a right triangle so it can not moved to the corner.

Thus, Since the triangle is not a right triangle therefore it can not moved to the corner.

Answer:

There are many areas but

Step-by-step explanation:

Area of square is L × W

where you multiply both length × width you get the answers squared

Area of a cube is L × W × H

this is where you multiply all length × width × height and get the answer cube

Answer:

4 Years.

Step-by-step explanation:

Principle ⇒ 2000

Interest ⇒ 400

Rate ⇒ 5%

Time ⇒ _

Simple interest ⇒ p * x * t / 100

⇒ 400 = 2000 * 5 * t / 100

⇒ 400 = 200 * 5 * t / 10

⇒ 400 = 20 * 5 * t

⇒ t = 400 / 20 * 5

⇒ t = 40 / 2 * 5

⇒ t = 20 / 5

⇒ t = 4