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Andrew [12]
3 years ago
10

Standard form of -43/63 is​

Mathematics
1 answer:
Dimas [21]3 years ago
8 0

Answer:

7.28 × 1013

Step-by-step explanation:

The standard form of a number is introduced to avoid the difficulty of reading the large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.

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The area of a rectangular glass slab is 80 square centimeters and its perimeter is 36 centimeters. If the length and width of th
netineya [11]

First, you have to find out the values of the length and width.

Let l = length and w = width.

Set up your equation for area: l * w = 80

Set up your equation for perimeter: 2l + 2w = 36

We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.

(Divide w on both sides) l = 80 / w

Since I know that l = 80 / w, I can substitute it into the second equation.

2l + 2w = 36, and l = 80 / w

= 2 (80/w) + 2w = 36

Simplify the equation.

= 160/w + 2w = 36

Get rid of the w in the denominator by multiplying the entire equation by w.

= ( 160/w + 2w = 36 ) * w

= 160 + 2w^{2} = 36w

= 2 ( w - 8 ) ( w - 10 )

The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =

a. 144 cm

Hope this helped you! Let me know if there are any confusions :)


4 0
3 years ago
PQR is a right angled triangle calculate the size of angle marked x
romanna [79]

Answer:

\displaystyle x \approx 37.4^\circ

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = <em>x</em>

Adjacent Leg = 5.8

Hypotenuse = 7.3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Cosine]:                                                                    \displaystyle cosx^\circ = \frac{5.8}{7.3}
  2. [Fraction] Divide:                                                                                             \displaystyle cosx^\circ = 0.794521
  3. [Equality Property] Trig inverse:                                                                    \displaystyle x^\circ = cos^{-1}(0.794521)
  4. Evaluate trig inverse:                                                                                      \displaystyle x = 37.39^\circ
  5. Round:                                                                                                             \displaystyle x \approx 37.4^\circ
8 0
2 years ago
How do simplify 4(x-3)+5(x-3)
vesna_86 [32]

Answer:

9x-27

Step-by-step explanation:

4(x-3)+5(x-3)=4x-12+5x-15=4x+5x-12-15=9x-27

4 0
3 years ago
7. Paula reduced the size of a rectangle to a height of 2 inches.
drek231 [11]

Answer: if the width was not effected then the width is still 24 inches

if the area stayed the same, then

find area

area=legnth times width

288=12 times 24

so the new height./legnth =2

288=2 times width

divide by 2

144=width'

the new width =144

6 0
3 years ago
Use the discriminant to find the number of real roots in Y = x^2 – 6x + 9
BaLLatris [955]
So discriminant is being counted from that equation:
b^2-4ac = 36-36 = 0

As discriminant is 0, then there is just 1 root -> -b/2a = 6/2 = 3.
4 0
3 years ago
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