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2 years ago

Find the value of x.

Mathematics

1 answer:

daser333 [38]2 years ago

3 0

Answer:

Step-by-step explanation:

hello :

7x-6 = 3x+14

7x-3x =14+6

4x=20

x=20/4

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Factor:

Naddik [55]

Answer:

D) (5x - 3) (25x^2+ 15x + 9)

Step-by-step explanation:

$125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}$

3 0

3 years ago

In one area, the lowest angle of elevation of the sun in winter is 27.5°. Find the minimum distance x that a plant needing full

Alex73 [517]

Answer:

The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft

Step-by-step explanation:

Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.

We will then find the position to place the plant where the suns rays can get to the base of the plant

Note that the fence is in between the sun and the plant, therefore we have

Height of fence = 5 ft.

Angle of location x from the fence = lowest angle of elevation of the sun, θ

This forms a right angled triangle with the fence as the height and the location of the plant as the base

Therefore, the length of the base is given as

Height × cos θ

= 5 ft × cos 27.5° = 4.435 ft

The plant should be placed at a location x = 4.435 ft from the fence.

8 0

3 years ago

What is the radius of the circle

vesna_86 [32]

Answer:

2 units

Step-by-step explanation:

The radius of the circle is 2 units because you can find the radius by multiplying the diameter by 2. The radius is half of the diameter.

4 divided by 2 is 2.

Hope this helped :)

4 0

2 years ago

Read 2 more answers

A standard deck of cards contains 52 cards. The cards have 4 different suits: clubs, diamonds, hearts, and spades. For each suit

Taya2010 [7]

Answer:

a. 108336, b. 480200

Step-by-step explanation:

a. No. of ace cards = 4

No. of non ace cards= 48

We draw 5 cards

So,

No. of ways of 2 aces = C(4,2) C(48,3)

No. of ways of 3 aces = C(4,3) C(48,2)

No. of ways of 4 aces = C(4,4) C(48,1)

Hence

No. of ways of 2 or more aces

= C(4,2) + C(48,3) + C(48,3) + C(4,3)C(48,2) +C(4,4)C(48,1)

= 6(17296) + 4(1128) + (48)

= 108336

b. No of ways any 5 cards can be chosen = C(52,5)

No. of ways kings of diamonds or queen of hearts is chosen = C(50,5)

Hence

No. of ways of choosing king of diamonds, queen of hearts or both = C(52,5) – C(50,5)

= 480200

4 0

2 years ago

I NEED HELP THIS IS DUE ASAP

UNO [17]

Answer:

Proportional

Unproportional

Step-by-step explanation:

85 -6 = 79

79 -6 = 73

73 -6 = 67

1.49 +10 = 1.59

1.59 + 30 = 1.89

6 0

3 years ago

Read 2 more answers