Hi!! I hope you are having a good day. I’m having an exam rn and I need help, these are short answers.

1. The radius of a circle is 14 cm. If π is taken as 3.14; what is the circumference of the circle.

2. Calculate: 2 3/6 + 3/6 =

3. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?

4. Razon is constructing a decagon shape motel; each side measuring 12.4 cm. As the contractor, calculate the perimeter of this motel.

5. Using the division method, find the prime factors of 42? State if this number is odd or even.

6. Complete the the number sequence 1, 3, 10, 21, 64, 129_____, 777.

7. Using the factor three method, list the prime factors of 68 *

8. Don- tae decided to ship a container to JM to stock his Supermarket. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.

9. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter.

Answers:

================================================

Explanation:

Let x be some positive real number

The 4:3 aspect ratio means the width (horizontal) portion of the tv is 4x inches while the height (vertical) portion is 3x inches

The ratio 4x:3x reduces to 4:3 after dividing both parts by x.

The 4x by 3x rectangle has the diagonal 32 inches as the instructions state. The tv size is always measured along the diagonal.

So effectively, we have two identical right triangles with legs 4x and 3x, and hypotenuse 32.

Apply the pythagorean theorem to find x

a^2+b^2 = c^2

(4x)^2+(3x)^2 = 32^2

16x^2+9x^2 = 1024

25x^2 = 1024

x^2 = 1024/25

x = sqrt(1024/25)

x = 32/5

x = 6.4

Recall that x is positive, so we ignore the negative square root here.

This 4x by 3x tv then has dimensions of

These values are exact.

The area is therefore base*height = 25.6*19.2 = 491.52 square inches

This of course only applies to the 4:3 tv that's 32 inches in diagonal.

-------------------------------

Now onto the 16:9 tv.

We'll follow the same steps as the last section. We'll use y this time

The 16:9 ratio becomes 16y:9y

a^2+b^2 = c^2

(16y)^2 + (9y)^2 = 32^2

256y^2 + 81y^2 = 1024

337y^2 = 1024

y^2 = 1024/337

y = sqrt(1024/337)

y = 1.7431510742491 which is approximate

y = 1.74315

So,

the area is approximate since the width and height are approximate. It rounds to about 437.55 square inches

-------------------------------

To recap, we found the following:

Answer:

x=0;y=2

Step-by-step explanation:

4(-x+2)=2x+8 -4x+8=2x+8 -4x-2x=8-8 -6x=0 x=0 y=-x+2 y=0+2 y=2

Answer:

12 p - 6k

Step-by-step explanation:

Let us assume that _ is meant to be minus sign.

( 4 p - 2k ) ( 3)

use the distributive property

3 × 4p - 3 × 2k

12 p - 6 k

Answer:

4/8 = 1/2

Step-by-step explanation:

hope it thepled u

Answer:

D

Step-by-step explanation:

D on edg

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

⏩ 107° angle will be an obtuse angle because its measurement is more than 90° but less than 180°.

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

An obtuse angle

Step-by-step explanation:

Angles are classified by how large their degree measure is. Here is a list of the basic classifications of an angle,

acute: degree measure between (0) and (90) degrees

right: exactly (90) degrees,

obtuse: degree measure between (90) and (180) degrees

reflex: degree measure between (180) and (360) degrees

Answer:

7/5 is the scale factor

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Thus, m∠T + m∠S = 90 ------ Equation 1

&  m∠S + m∠U = 90  ------- Equation 2

m∠T - m∠U = 0

Thus, m∠T = m∠U

The measure of angle T is equal to angle U.(∠U≅∠T).

Answer:

balanced

Step-by-step explanation:

The upward force is 75+ 160 =235

The downward force is 235

The force is balanced since the upward force equals the downward force

Answer:

2 is the base

Step-by-step explanation:

2^3

2 is the base and 3 is the exponent

Answer:

???????????????????????

Step-by-step explanation:

sorry di ko po alam yung sagot pasensiya na po

Given :

Parallel lines are

x – 2y = 3 and 2x – 4y = 12

Step-by-step explanation:

Lets write the given lines in slope intercept form y=mx+b

[tex]x -2y = 3 \\-2y=-x+3\\Divide \; both \; sides \; by -2\\y=\frac{x}{2} -\frac{3}{2}[/tex]

From the above equation , y intercept of first line is [tex]\frac{-3}{2}[/tex]

Solve the second equation for y and find out y intercept

[tex]2x-4y=12\\-4y=-2x+12\\Divide \; by \; -4\\y=\frac{1}{2} x-3[/tex]

y intercept of second line is -3

To find the distance between parallel lines, we subtract the y intercepts

[tex]\frac{-3}{2} -(-3)=\frac{-3}{2} +\frac{6}{2} =\frac{3}{2} =1.5[/tex]

Answer:

The distance between the parallel lines = 1.5

Reference:

https://brainly.com/question/24145911

Answer:, Joey will pay $117.18 for sneakers.

Step-by-step explanation:

Given: original price = $155

Discount rate = 30%

Tax rate = 8%

Price after discount = Original price - (Discount) x (original price)

[tex]= 155-0.30\times 155\\\\=155-46.5\\\\=\$\ 108.5[/tex]

Tax = Tax rate x (Price after discount)

[tex]= 0.08 \times 108.5[/tex]

= $ 8.68

Final price for sneakers = Price after discount + Tax

= $ (108.5+8.68)

= $ 117.18

Hence

Answer: a = 7.5h + bn

Step-by-step explanation:

Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.

where,

a = total amount earned,

h= hours worked in one week,

n = number of bouquets she arranged

b= bonus amount for bouquets

Then, the formula that will help her determine how much she will make in a week will be:

a = (7.5 × h) + (b × n)

a = 7.5h + bn

The formula is a = 7.5h + bn.

Answer:

376.8

Step-by-step explanation:

Formula Volume Cone = πr² * h/3

Volume = 3.14 * 36 * 3 1/3

Volume ≈ 376.8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 301.6

-------------------

answer above isn't right this is, trust me.

Answer:

60% did not germinate.

Step-by-step explanation:

100% = 5

how many percent are 2 of of these 5 ?

2 = 2/5 × 5 = 2/5 × 100% = 40%

all the other seeds are then the rest of 100%.

100% - 40% = 60%

=>

60% of the seeds did not germinate.

but 40% did.

Answer:

$240

Step-by-step explanation:

They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.

An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.

**This content involves using percentages which you may wish to revise.

Answer:

C=3.14*91

D=91*2

C=285.74

D=182

Hope This Helps!!!

Answer:

[tex]{ \tt{formular :}} \\ { \boxed{ \bf{centripental \: acceleration = \frac{ {v}^{2} }{r} }}} \\ \\ { \tt{30= \frac{ {3.7}^{2} }{r} }} \\ \\ { \tt{r = \frac{ {3.7}^{2} }{30} }} \\ \\ { \tt{radius = 0.456 \: meters}}[/tex]

[tex]804.2\:ft^{2}[/tex]

Step-by-step explanation:

[tex]A=4 \pi r^{2}[/tex]

We are given D = 16 ft, which means that r = (1/2)D = 8 ft. Therefore, the surface area of the sphere is

[tex]A=4 \pi (8 ft)^{2} = 804.2\:ft^{2}[/tex]

The surface area of the sphere is approximately 804.2 square feet.

It is a three-dimensional figure where the volume is given as:

The volume of a sphere = 4/3 πr³

We have,

The surface area of a sphere with diameter d is given by the formula:

SA = 4πr²

where r is the radius of the sphere, which is half the diameter. In this case, the diameter is 16 feet, so the radius is 8 feet.

Plugging in the value of r, we get:

SA = 4π(8²)

SA = 4π(64)

SA = 256π

Rounding to the nearest tenth gives:

SA ≈ 804.2 square feet

Therefore,

The surface area of the sphere is approximately 804.2 square feet.

Learn more about sphere here:

https://brainly.com/question/12390313

#SPJ7

Answer: 27.6

Step-by-step explanation:

tan 36 = 1/x

x =1/ tan 36 x = 1.38 which is your apothem

area of pentagon = 5x2x1.38/2 = 6.9

now do 6.9 x 4 = 27.6

The volume of the solid is 27.52 cubic yards

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a pentagonal prism

The base length of prism is 2yd

The height of prism is 4 yd

Volume of pentagonal prism V = 1/4 √(5(5+2√5))a²h

a is the base length and h is height

V = 1/4 √(5(5+2√5))4×4

V=27.52

Hence, the volume of the solid is 27.52 cubic yards

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Answer:

x = -5; y = 4, z = 1

Step-by-step explanation:

Given the row echelon form as:

[tex]\left[\begin{array}{cccc}1&0&\ \ 4|&-1\\0&1&-1|&3\\0&0&\ \ 1|&1\end{array}\right][/tex]

This matrix can be represented as:

[tex]\left[\begin{array}{ccc}1&0&4\\0&1&-1\\0&0&1\end{array}\right]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right] \\\\Performing\ matrix\ multiplication\ gives:\\\\\left[\begin{array}{c}x+4z\\y-z\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right][/tex]

Therefore:

z = 1

y - z = 3;  

y = 3 + z = 3 + 1 = 4.

Hence, y = 4

x + 4z = - 1;

x = -1 - 4z = -1 - 4(1) = -5

x = -5

Answer: $32.5

Step-by-step explanation:

Given

Greg needs 50 corns on the cobs

A package of 5 costs $3.25

For 50 corns, he needed 10 package

So, cost of 10 packages is

[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]

Answer:

The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.

Step-by-step explanation:

Let be the following system of equations:

[tex]2\cdot x + 3\cdot y = 12[/tex] (1)

[tex]x\cdot y = 6[/tex] (2)

Then, we solve both for [tex]x[/tex] and [tex]y[/tex]:

From (1):

[tex]2\cdot x + 3\cdot y = 12[/tex]

[tex]2\cdot x = 12- 3\cdot y[/tex]

[tex]x = 6 - \frac{3}{2}\cdot y[/tex]

(1) in (2):

[tex]\left(6-\frac{3}{2}\cdot y \right)\cdot y = 6[/tex]

[tex]6\cdot y-\frac{3}{2}\cdot y^{2} = 6[/tex]

[tex]\frac{3}{2}\cdot y^{2}-6\cdot y + 6 = 0[/tex]

The roots of the polynomial are determined by the Quadratic Formula:

[tex]y_{1} = y_{2} = 2[/tex]

By (1):

[tex]x = 6 - \frac{3}{2}\cdot (2)[/tex]

[tex]x = 3[/tex]

If we know that [tex]x = 3[/tex] and [tex]y = 2[/tex], then the final value is:

[tex]z = 8\cdot x^{3}+27\cdot y^{3}[/tex]

[tex]z = 8\cdot 3^{3}+27\cdot 2^{3}[/tex]

[tex]z = 432[/tex]

The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.

Answer:

f(-7) = 268

Step-by-step explanation:

f(x) = 4x^2 – 10x + 2

Let x = -7

f(-7) = 4(-7)^2 – 10(-7) + 2

     Exponents first

f(-7) = 4(49) – 10(-7) + 2

Multiply

f(-7) = 196 + 70 + 2

f(-7) = 268

Answer:

$72.15

Step-by-step explanation:

x= pounds of steak

$[tex]9.62x[/tex] = money spent on steaks

If Neil buys 7.5 pounds of steak then x =7.5

$9.62(7.5) = $72.15

Answer:

$72.15

Step-by-step explanation:

1 pound = $9.62

7.5 pounds = $9.62 × 7.5

= $72.15

Answer: A.

Step-by-step explanation:

Data: Fraction that turning into a repeating decimal number=x

Only step: Divide all the fractions, 1/12, 7/8, 14/25, 17/20, 6/10

Explanation: The only way to find which fraction turns into a repeating decimal is by dividing all the fractions, this can be done in any order but for this problem, lets start with 1/12 which, when divided, turns into 0.083... which is a repeating decimal

With that being said, the answer would be A.(1/12)

I hope this helps(Mark brainliest if you'd like to)

Answer:

không

Step-by-step explanation:

Answer:

(a + b)(a - b) = a² - b²

Step-by-step explanation:

(a + b)(a - b) = a (a - b ) + b (a - b )

                 = a²  - ab + ba  - b²             [ ab = ba ]

                 = a² - ab + ab - b²               [ ab - ab = 0 ]

                 = a² - b²

Answer:

[tex]x<4[/tex]

Step-by-step explanation:

Given:

[tex]3x-3<9[/tex]

Add 3 to both sides

[tex]3x<12[/tex]

Divide both sides by 3 to get x alone

[tex]x<4[/tex]

Hope this is helpful