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docker41 [41]
3 years ago
9

Ricardo bought a jacket priced at $40. The total cost of the jacket, including sales tax, was $43. What was the sales tax rate t

o the nearest tenth of a percent?
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0
The closest answer I got was: 6.9%
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The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part
erastova [34]

Answer:

71.63 \: \: \mathrm{cm^2 }

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

d=\sqrt{w^2 + l^2}

The width is 10 cm and the length is 12 cm.

d=\sqrt{10^2 + 12^2}

d \approx 15.62

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

A=\pi r^2

The r is the radius of the circle, to find radius from diameter we can divide the value by 2.

r = \frac{d}{2}

r=\frac{15.62}{2}

r=7.81

Let’s find the area now.

A=\pi (7.81)^2

A \approx 191.625

Find the area of rectangle.

A=lw

Length × Width.

A = 12 \times 10

A=120

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

191.625-120

71.625 \approx 71.63

5 0
2 years ago
2,408,615 in expanded
Nataliya [291]

(2 x 1000000) + (4 x 100000) + (0 x 10000) + (8 x 1000) + (6 x 100) + (1 x 10) + (5 x 1)

4 0
3 years ago
F(z) = (z - 5)(2x + 7) (73 = 3) has zeros at x = -3.5, x=3/7 , x=5 What is the sign of f on the interval 3/7 < x <5?
Gwar [14]
<h3>Answer:     Negative</h3>

======================================================

Explanation:

3/7 = 0.42857 approximately

Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2

Plug x = 2 into the f(x) function

f(x) = (x - 5)(2x + 7)(7x-3)

f(2) = (2 - 5)(2*2 + 7)(7*2-3)

f(2) = (2 - 5)(4 + 7)(14-3)

f(2) = (-3)(11)(11)

f(2) = -363

The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.

3 0
3 years ago
Sonny has $75 to spend the night the new Nintendo switch game that he wants to buy requires $93 his parents had they will lend h
Verdich [7]

Answer:

he needs 18 more dollars from his parents

Step-by-step explanation:

93-75=18 therefore he is missing 18 dollars

3 0
2 years ago
Write a real-world poblem that can be represented by d-32=64.
tankabanditka [31]

Answer:

d-32=64 ----> d=96

Step-by-step explanation:

John had d amount of chocolate bars to sell for a school fundraiser. He sold 32 of them and was left with 64.

6 0
2 years ago
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