The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in, find the width, perimeter, and area of this rectangle.

Answer:

3

HCF of 12, 45 and 75 by Prime Factorization

As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x^2 ( y +z)^2 = x^2 (y+z)(y+z)[/tex]                               [tex][ \ (a+b)^2 = (a+b)(a+b) \ ][/tex]

[tex]x^2 - ( y +z)^2 = (x - ( y +z)) (x + (y+z))[/tex]             [tex][ \ a^2 - b^2 = (a-b)(a+b) \ ][/tex]

                  [tex]=(x-y-z)(x+y+z)[/tex]                  

Answer:

$80

Step-by-step explanation:

I = Prt

P = 600

r = 5%

t = 2 yrs and 8 mos = 8/3 yrs

I = 600(0.05)(8/3)

I = $80

Answer:

I believe the answer is $80.001.

Step-by-step explanation:

i used a calculator

Step-by-step explanation:

terms are the elements separated by the plus or minus signs.

Answer:

x=77 degrees

Step-by-step explanation:

The angles of a triangle always add to  180 degrees.

26 is already taken up 180-26=154

There are 2 angles left 154/2=77

x=77

Answer:

30

Step-by-step explanation:

cause the angles in a hexagon should add up to 720degrees(area) which means each angle in a hexagon is 120.

Angles in a triangle add up to 180

we know that A is 120 and the angles of F and B are equal (this is an assumption) so 180-120=60 then 60/2 (because we have 2 angles) 30

So X=30

(sorry if the answer is incorrect)

Answer:

30

(6-2)(180)/6

=120

∆FAB=180°

180-120=60

x=60/2

=30

Answer:

A. an enlargement or a reduction of the figure

Step-by-step explanation:

The answer is choice A.

dilation A. an enlargement or a reduction of the figure

translation B. a slide of the figure

rotation C. a turning of the figure about some fixed point

reflection D. a mirror image of the figure

Answer:

V = 0.375 units³

Step-by-step explanation:

The volume of a rectangular prism is V = lwh.

Where l is the length, w is the width, and h is the height.

Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.

V = lwh

V = (1)(¾)(½) units

V = (⅜) units

V = 0.375 units

Answer:

7/8

Step-by-step explanation:

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3

Hope this helps. Please mark brainliest if it did

Answer: 4536.46

Answer:

a = 3, b = - 2 , c = 0

Step-by-step explanation:

The equation is

[tex]1 = - 2 x + 3 x^2 + 1 \\\\3 x^2 -2x +0 = 0[/tex]

By comparing with the standard equation

[tex]ax^2 + bx + c = 0[/tex]

So,

a = 3, b = - 2 , c = 0

Answer:

optin d) 8

Step-by-step explanation:

           [tex]2 \times 2 \times 2 = 2^3[/tex] [tex]= 8[/tex]

Answer:

Have you tried photo math.? It can help you find the answer

Step-by-step explanation:

here is the answer bae. Feel free to ask for more

Answer:

umm, sorry! but what are you trying to ask??

Answer:

D. 1

Step-by-step explanation:

Slope (m) formula:

m = y2 - y1 / x2 - x1

m = 2 - 9 / -4 - 3

m = -7/-7

Negative ÷ Negative = Positive

m = 1

Answer:

4

Step-by-step explanation:

the smaller triangle is the larger triangle divided by 4 so 16÷4 is 4.

Answer:

7.8-9.3n

Step-by-step explanation:

2.8-5.3n - 4n + 5

Combine like terms

2.8 +5 -5.3n -4n

7.8-9.3n

Answer:

In simplest form: 7.8 - 9.3n

Step-by-step explanation:

Equation: 2.8 - 5.3n - 4n + 5

Combine like terms: 2.8 + 5 = 7.8

-5.3n + -4n = -9.3n

Put it all together: 7.8 - 9.3n

Hope this helps! :)

Answer:

See below.

Step-by-step explanation:

6. 3 times a number (x) is greater than 10

     3x > 10

7. A number (x) added by 4 is less than or equal to 7

    x+4[tex]\leq[/tex]7

8. 6 is less than a number (x) divided by 6

   6 < x/6

9. The ratio of 10 and a number (x) is greater than or equal to 5

      (10/x) [tex]\geq[/tex] 5

10.The sum of x and 7 is less than 4

     x + 7 < 4

Answer:

No answer is possible from the information provided

Step-by-step explanation:

The is no∠MNO in the image.

Answer:

But then there is no < MNO on the diagram

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

Answer:

[tex]w = 13500[/tex] --- real windscreen

[tex]v = 408[/tex] --- scale volume

Step-by-step explanation:

Given

[tex]k = \frac{1}{10}[/tex] --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

[tex]w = \frac{w_{scale}}{k^2}[/tex]

This gives:

[tex]w = \frac{135}{(1/10)^2}[/tex]

[tex]w = \frac{135}{1/100}[/tex]

[tex]w = 13500[/tex]

Next, the volume (v) of the scale mode

We make use of the following computation

[tex]v = v_{real} * k^3[/tex]

So, we have:

[tex]v = 408000 * (1/10)^3[/tex]

[tex]v = 408000 * 1/1000[/tex]

[tex]v = 408[/tex]

Answer:

a) 21/50   -> 42%

b) 7/10  ->70%

c) 3/5 -> 60%

d) 59/100 -> 59%

Step-by-step explanation:

Answer:

the constant of proportionality is 9 here as the division of all the numbers leads to the answer 9

Step-by-step explanation:

Answer:

Your constant proportionality is 9 because 2x9=18, 3x9=27, 4x9=36, and 5x9=45.

Step-by-step explanation:

Answer:

the first plan is better

this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher

2. the future value of option 1 is higher than that of option 2

Step-by-step explanation:

The effective annual rate can be used to determine which option is better

the option with the higher effective annual rate is the better option

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

(1 + 0.07/12)^12 - 1 = 7.23%

option 2

EAR = e^r - 1

2.7182818^0.0685 - 1 = 7.09%

2nd method of determining the better investment is to determine the future value of each option

Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08

option 2 = 800e^(0.0685 x 6) = 1206.60

option 1 has the higher future value

Answer:6757.62

Step-by-step explanation:

use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.

Answer:

31.2 ft

Step-by-step explanation:

sin = opp/hyp

sin64 = 28/hyp

hyp = 28/sin64

use calculator

hyp = 31.15285433330529

Rounded

31.2 ft

The length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

The ladder, the distance from the wall to the base of the ladder and the distance from the ground to the electric box forms a right angled triangle.

Trigonometric ratios shows the relationship between the sides and angles of a right angled triangle.

Let x represent the length of the ladder, hence:

sin(64) = 28 feet/x

x = 28 feet / sin(64)

x = 31.2 feet

Hence the length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

Find out more at: https://brainly.com/question/25122825

Answer:

486 yd^2

Step-by-step explanation:

Surface area is just finding the area of each face in a figure and adding it all up.

For the surface area of a cube, use this formula:

(a^2) 6

(a is the side length) a^2 is the area of one face of a cube, then multiply it by 6 since there are 6 faces on a cube.

Use formula with given dimensions:

(9^2) 6 = 486

Surface area is measured in square yards

(yards in this case)

Therefore, the surface area of the cube is 486 yd^2

Hope this helps!

Answer:

24 and 15

Step-by-step explanation:

Answer:

it is not 17 points for this question it is 9 points.

Answer:

no

Step-by-step explanation:

If the lines have identical slopes then they are parallel and do not intersect.

Answer:

To find a percentage, divide the number present by the total number of students, then multiply that number by 100.

Answer:

96% were present.

Step-by-step explanation:

75/100 , 72/? Find percent (?)

(72*100 / )75

96%