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erastova [34]
3 years ago
7

1. Which of the following shows the correct use of the Distributive Property when solving 1/3( 33

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

Answer:

The option (\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2 is correct

Step-by-step explanation:

Given equation is \frac{1}{3}(33-y)=135.2

The option shows correct usage of distributive property is

(\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2

( by distributive property a(x+y)=ax+ay here a=\frac{1}{3}, x=33 and y=-y )

Therefore the option (\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2 is correct.

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How do you do number 14?
Dimas [21]

Answer: 3/8

Step-by-step explanation:

When three coins are flipped, we get 8 total outcomes: (HHH,HHT,HTH,HTT,THH,THT,TTH,TTT)

Two tails and one head is (HTT, TTH, THT)

Probability = number of favorable outcomes/ number of total outcomes

Number of Favorable outcomes = 3

Number of Total outcomes= 8

Therefore, probability of getting 2 tails and one head

= 3/8

4 0
3 years ago
A The length of a rectangle is 4 m more
Lady bird [3.3K]

Given :

  • The length of a rectangle is 4m more than the width.
  • The area of the rectangle is 45m²

⠀

To Find :

  • The length and width of the rectangle.

⠀

Solution :

We know that,

\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

\qquad \sf \: { \dashrightarrow x  \times  (x - 4) = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x - 45 = 0 }

\qquad \sf \: { \dashrightarrow {x}^{2}    - 9x+ 5 x - 45 = 0 }

\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }

\qquad \sf \: { \dashrightarrow (x  - 9) (x  + 5) = 0 }

\qquad \sf \: { \dashrightarrow x = 9, \: \: x =  - 5}

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
2 years ago
Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
Margaret [11]

tan(40) = (y + 1.5) / (x + 20)

y + 1.5 = (x + 20)[tan(40)]

y = (x + 20)[tan(40)] - 1.5

tan(60) = (y + 1.5) / x

y + 1.5 = (x)[tan(60)]

y = (x)[tan(60)] - 1.5

(x)[tan(60)] - 1.5 = (x + 20)[tan(40)] - 1.5

(x)[tan(60)] = (x + 20)[tan(40)]

(x)[tan(60)] = (x)[tan(40)] + (20)[tan(40)]

(x)[tan(60)] - (x)[tan(40)] = (20)[tan(40)]

(x)[tan(60) - tan(40)] = (20)[tan(40)]

x = [(20)(tan(40))] / [tan(60) - tan(40)]

x = 18.8 meters

6 0
3 years ago
Read 2 more answers
John gave 23/25 of an orange to his best friend. What
Zarrin [17]

Answer:

80%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the circumference of a circle with a diameter of 18 in
brilliants [131]

Here is your answer

\bold{56.52 in}

REASON:

Diameter, d= 18 in

So,

Circumference = pi×d

= 3.14×18 in

= 56.52 in

HOPE IT IS USEFUL

5 0
3 years ago
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