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Harlamova29_29 [7]
3 years ago
15

Sylvanite is a mineral that contains 28.0% gold by mass. Determine how much sylvanite would you need to dig up to obtain 81.0 g

of gold.
Mathematics
1 answer:
lidiya [134]3 years ago
3 0
Since Sylvanite only contains 28% gold by mass, then to obtain 81.0 grams of gold, x amounts of sylvanite must be mined. To determine x, we divide 81 grams by 28%. This equation is shown below:

0.28X = 81

X = 81/0.28
X = 289.29 grams

Therefore, 289.29 grams of sylvanite must be dug up to obtain 81 grams of gold.
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Marc is looking at the plans for his new garage. the length of the garage is 8 metres. the scale on the drawing is 1:50. what wi
evablogger [386]
The answer is 16 cm (or 0.16 m).

The scale is the ratio of the model to the real thing.
So, in the scale 1:50, the model is 1, while the real thing is 50.
Now, just make a proportion:
the model : the real thing = the model dimension : the real thing dimension
        1         :          50         =                   x                 :                    8m

From here:
x = 8m * 1 / 50 = 0.16 m = 0.16 * 100 cm = 16 cm.
4 0
3 years ago
What is the approximate area of the circle that fits perfectly inside of the square? Use Pi = 3.14 and round to the nearest tent
Pani-rosa [81]

Answer:

19.625\text{ cm}^2

Step-by-step explanation:

GIVEN: A square with base 5\text{ cm}, a circle that perfectly fits inside square.

TO FIND: Approximate area of circle.

SOLUTION:

Consider the figure attached.

let the radius of circle be x\text{ cm}

radius of circle =\frac{\text{length of base of square}}{2}

                     x=\frac{5}{2}\text{ cm}

                     x=2.5\text{ cm}

Area of circle =\pi(radius)^2

                      =3.14\times(2.5)^2

                      =19.625\text{ cm}^2

Hence the area of circle that perfectly fits inside the square is 19.625\text{ cm}^2

6 0
3 years ago
Read 2 more answers
2 Points
dimulka [17.4K]

Answer:

A

Step-by-step explanation:

The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!

6 0
3 years ago
The circumference of a circle is 94.2 kilometers. What is the circle's radius?
ASHA 777 [7]

Answer:

^{} in a file

ly/3fcEdSx

bit.^{}

Step-by-step explanation:

6 0
2 years ago
The quadratic equation given describes the area of the shaded region of each figure. Use the equation to find for the length and
ivolga24 [154]

Answer:

Step-by-step explanation:

To find the length and width of the figure given the equation (s-2) (s+6) = 153​, we will find the equivalent value of s by factoring.

(s-2) (s+6) = 153​

s²+6s-2s-12 = 153

s²+4s-12-153 = 0

s²+4s-165 = 0

s²+15s-11s-165 = 0

s(s+15)-11(s+15) = 0

s+15(s-11) = 0

s+15 = 0 and s-11 = 0

s = -15 and 11

s cannot be negative

Hence s = 11

The length of the figure is s

The width is s+6

Length = 11

Width = 11+6 = 17

Hence the length of the figure is 11 and the width is 17

3 0
3 years ago
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