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Leya [2.2K]
4 years ago
14

If 3t-7=5t, then 6t=

Mathematics
1 answer:
Dafna11 [192]4 years ago
8 0
3t - 7 = 5t   Subtract 3t from both sides
    - 7 = 2t   Divide both sides by 2
    -\frac{7}{2} = t

Now, plug the t-value into 6t.

6t   Plug in the t-value
6 (- \frac{7}{2})   Multiply
- \frac{6 x 7}{2}   Multiply 6 and 7
-\frac{42}{2}   Divide
-21

t = -\frac{7}{2} , 6t = -21
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A circular garden is surrounded by a rectangular grassy area. The garden takes up nearly half the grassy area. The base of the g
d1i1m1o1n [39]

Answer:

The area of the circular garden is approximately 7.1 square yards

Step-by-step explanation:

The given parameters are;

The area surrounding the circular garden = A rectangular grassy area

The area of the circular garden ≈ (1/2) × The base of the grassy rectangular area

The dimensions of the base of the rectangular grassy area = 6 yards by 3 yards

The diameter of the circle, D = 3 yards

The area of the rectangular grassy area = 6 yards × 3 yards = 18 yards²

∴ The approximate area of the circular garden = (1/2) × 18 yards² = 9 yards²

The area of the circular garden, A = π·D²/4

∴ A = 3.14 × (3 yards)²/4 = 7.065

The area of the circular garden, A ≈ 7.1 yd².

5 0
3 years ago
100,000 using exponential notation
TiliK225 [7]
1 × 10^<span>5 = 100,000

Hope that helps ;D</span>
7 0
3 years ago
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A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o
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Answer:

Step-by-step explanation:

still need help?

8 0
3 years ago
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Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a (4 points)
Llana [10]

Answer:

Quadrilateral ABCD is a SQUARE

Step-by-step explanation:

When we are given coordinates (x1, x2) and (y1 , y2) for a Quadrilateral, we solve for the sides using this formula.

√(x2 - x1)² + (y2 - y1)²

A (3, 1), B (4, 4), C (7, 5), D (6, 2)

Side AB = A (3, 1), B (4, 4)

√(x2 - x1)² + (y2 - y1)²

= √(4 - 3)² + (4 - 1)²

= √1² + 3²

= √1 + 9

= √10

Side BC = B (4, 4), C (7, 5)

√(x2 - x1)² + (y2 - y1)²

= √(7 - 4)² + (5 - 4)²

= √3² + 1²

= √9 + 1

= √10

Side CD = C (7, 5), D (6, 2)

√(x2 - x1)² + (y2 - y1)²

= √(6 - 7)² + (2 - 5)²

= √(-1) ² + (-3)²

= √1 + 9

= √10

Side AD = A (3, 1), D (6, 2)

√(x2 - x1)² + (y2 - y1)²

= √(6 - 3)² + (2 - 1)²

= √3² + 1²

= √9 + 1

= √10

From the above calculation,

Side AB = √10

Side BC = √10

Side CD = √10

Side AD = √10

Hence, AB = BC = CD = AD

When all the side of a Quadrilateral are the same or equal to each other, it means the Quadrilateral is a square.

Therefore, Quadrilateral ABCD is a SQUARE

7 0
3 years ago
The worldwide revenue from recorded music was $20.1 billion in 2015 and it decreased by 2.6% in 2013. What was the revenue in 20
Black_prince [1.1K]

Answer:

This problem don't make sense if you have 2015 revenue and it decreased at 2013? Two years before the revenue? Is this a typo?

I'll gladly help if you response

5 0
3 years ago
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