add the following fraction give me the answer in lowest terms and mixed numbers if necessary. 10/12 +1/2 =

Answer:

x = 49.5°

Step-by-step explanation:

∠ABC = 90°

∠CBD = 45%∠ABC

∠CBD = 0.45(90)

∠CBD = 40.5°

x = ∠ABC - ∠CBD

x = 90 - 40.5

x = 49.5°

Answer:

50 years

Step-by-step explanation:

Given data

Principal= $500

Rate= 6%

Amount = $2000

The simple interest expression is given as

A=P(1+rt)

Substitute

2000= 500(1+0.06*t)

open bracket

2000=500+ 30t

2000-500=30t

1500=30t

t= 1500/30

t= 50 years

Hence the time is 50 years

Answer:

50 years

Step-by-step explanation:

Formula for simple interest:

I = Prt

where

I = interest earned

P = principal amount deposited

r = annual interest rate

t = number of years

When the account reaches $2000, $500 is from the principal and

$2000 - $500 = $1500 is from the interest.

We use the simple interest formula to find the number of years needed to earn $1500 in interest from $500 principal at 6% interest rate.

1500 = 500 * 0.06 * t

t = 50

Answer: 50 years

Answer:

x=12

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2= 144

b=12 Therefore,

x=12

Answer:

n=1/8N^2

Step-by-step explanation:

n^2-8n=0

-8n=-N^2

n=1/8N^2

Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

Please mark brainliest if this helped!

Please mark brainliest if this helped!

9514 1404 393

Answer:

  8

Step-by-step explanation:

The Pythagorean theorem tells you of the relation ...

  x² + 6² = 10² . . . . . . . . . squares of sides total to the square of hypotenuse

  x² = 100 -36 = 64 . . . . . subtract 6²

  x = √64 = 8 . . . . . . . . . . square root

The length of side x is 8 units.

Answer:

6,7

Step-by-step explanation:

the squre root of 41 is 6.403

Answer:

A. 223 were not playing volleyball

B. 12 books on each shelf with 3 books left over..

C. 12.15$ a day

D. 12.15 miles per day.

Step-by-step explanation:

A. Subtract 20 from 243.

B. Since books cant be divided into fractions, you take 243 divided by 20, which is 12.15. However, we have to say 12 with 3 leftover because books isn't money, a distance measure, etc. and cannot be cut into pieces.

C. 243 / 20 is 12.15

D. 243 / 20 is 12.15

Answer:

like egip

Step-by-step explanation:

Answer:

95.875 [tex]ft^{2}[/tex]

Step-by-step explanation:

1.) Calculate the area of the trapezoid

A(trapezoid) = (1/2)*(base1 + base2)*h = (1/2)*(2.6+3.6)*3 = (1/2)*6.2*3 = 9.3

2.) Calculate the area of the circle

radius = (1/2)*(diameter) = (1/2)*1 = 0.5

A(circle) = (1/2)*[tex]\pi[/tex]*[tex]r^{2}[/tex] = (1/2)*[tex]\pi[/tex]*([tex]0.5^{2}[/tex]) = (1/2)*[tex]\pi[/tex]*0.25 = 0.125*[tex]\pi[/tex] = 0.392699

3.) Because the area of the circle is not included in the wall, subtract the area of the circle from the area of the trapezoid:

A(trapezoid)-A(circle) = 9.3-0.392699 = 8.9073 [tex]m^{2}[/tex]

4.) Convert to [tex]ft^{2}[/tex]:

Because 3.2808 feet are in a meter and the unit of the answer is in [tex]m^{2}[/tex], we need to multiply the answer by ([tex]3.2808^{2}[/tex]) to get to [tex]ft^{2}[/tex].

8.9073*([tex]3.2808^{2}[/tex]) = 8.9073*10.7636 = 95.875 [tex]ft^{2}[/tex]

Answer:

$85.2

Step-by-step explanation:

Answer:

85.2 dollar

Step-by-step explanation:

Tax is 5.2 because 80 times 0.065 is that, then you add them up

Answer:

x=2.2

y=-3.4

Step-by-step explanation:

subtract the second from the first

-5x=-11

x=2=2

substituting by x in the first equation

so y=-3.4

Answer:

y = -2x + 8

x = 3

y = x - 1

y = 2

Step-by-step explanation:

if 2x + y = 8 and x - y = 1

you can solve using substitution, elimination, matrix etc.

You will find that x = 3 and y = 2

Hope this helped.

Answer:

The answer is x is greater than or equal to -2

Step-by-step explanation:

I just did the math by hand

Answer:  x ≤ -5

Step-by-step explanation:

3x - 11 ≥ 7x + 9

3x ≥ 7x + 20

-4x ≥ 20  when dividing negative numbers, change the sign to the opposite.

x ≤ -5

Answer:

answer is 12 miles vause he can travel faster

Step-by-step explanation:

Answer:

numerator divided by denominator

Step-by-step explanation:

Answer:

I've put the red dot where location is.

Step-by-step explanation:

Answer:

area = 3.44 in²

Step-by-step explanation:

area of square = 4 x 4 = 16 cm²

area of circle = (3.14)(2²) = 12.56 cm²

area = 16 - 12.56 = 3.44 in²

Answer:

B

Step-by-step explanation:

0, 7

0 and 7 have the least amount of dots.

Answer:

0.43496 miles

Step-by-step explanation:

To convert from km to miles you can divide the km by 1.609 and that should give you an aproximate value for miles.

Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while

Jack can write it in 16 hours. How long will it take them to write the program together?

Answer: 9.6 hours

Answer: Observational study

Step-by-step explanation:

The study illustrated in the question is an observational study. It is referred to as an observational study, because in this case, the price of the individual cereals us not being controlled by the students. They've no control over it.

If it was an experiment, there'll have been a control group and the students will have control over the price. Also, the sampling methods used here is a systematic random sampling.

Answer:

342

Step-by-step explanation:

Given

Shape: Rectangular prism

The missing dimensions are:

[tex]Length = 5 ft[/tex]

[tex]Width = 6 ft[/tex]

[tex]Height = 12 ft[/tex]

Required

Determine the surface area

The surface area is calculated as:

[tex]Area = 2(Length * Width + Length * Height + Width *Height)[/tex]

This gives:

[tex]Area = 2(5ft* 6ft+ 5ft * 12ft+ 6ft*12ft)[/tex]

[tex]Area = 2(30ft^2+ 60ft^2+ 72ft^2)[/tex]

[tex]Area = 324ft^2[/tex]

Answer:

the first plotting was correct.

Step-by-step explanation:

the values will be arranged in an ascending order from their roots which are the first digit

Answer:

24x-36y+48

hope this helps :)

24x - 36y + 48 is equivalent to 12(2x-3y+4)