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3 years ago

Suppose y varies directly with x. When x is 3, y is 15. What is y when x is 10?

Mathematics

1 answer:

mylen [45]3 years ago

5 0

Answer:

Y= 30

Step-by-step explanation:

Because proportionally it makes sense as well as it multiplication.

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A 12- foot ladder that is leaning against a wall makes a 75.5 degree angle with the level ground

viktelen [127]

Answer:option C is the correct answer.

Step-by-step explanation:

When the ladder leans against the wall, it forms a right angle triangle with the wall. The length of the ladder becomes the hypotenuse of the right angle triangle.

Since the length of the ladder is 12 foot, then

Hypotenuse = 12 foot

The angle formed by the ladder with the ground is 75.5 degrees. Therefore, the height, y which is the distance from the point where the ladder touches the wall to the foot of the wall becomes the opposite side. It would be determined by applying trigonometric ratio

Sin θ = opposite side/hypotenuse

Sin 75.5 = y/12

6 0

3 years ago

The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.03 inch. Use differentials to approximate

soldi70 [24.7K]

Answer:

a) $V = 33510.322\,in^{3}$ , b) $A_{s} = 5026.548\,in^{2}$ , c) $\% V = 0.450\,\%$ , $\%A_{s} = 0.300\,\%$ .

Step-by-step explanation:

The volume and the surface area of the sphere are, respectively:

$V = \frac{4}{3}\pi \cdot r^{3}$

$A_{s} = 4\pi \cdot r^{2}$

a) The volume of the sphere is:

$V = \frac{4}{3}\pi \cdot (20\,in)^{3}$

$V = 33510.322\,in^{3}$

b) The surface area of the sphere is:

$A_{s} = 4\pi \cdot (20\,in)^{2}$

$A_{s} = 5026.548\,in^{2}$

c) The total differentials for volume and surface area of the sphere are, respectively:

$\Delta V = 4\pi\cdot r^{2}\,\Delta r$

$\Delta V = 4\pi \cdot (20\,in)^{2}\cdot (0.03\,in)$

$\Delta V = 150.796\,in^{3}$

$\Delta A_{s} = 8\pi\cdot r \,\Delta r$

$\Delta A_{s} = 8\pi \cdot (20\,in)\cdot (0.03\,in)$

$\Delta A_{s} = 15.080\,in^{2}$

Relative errors are presented hereafter:

$\%V = \frac{\Delta V}{V}\times 100\%$

$\%V = \frac{150.796 \,in^{3}}{33510.322\,in^{3}}\times 100\,\%$

$\% V = 0.450\,\%$

$\% A_{s} = \frac{\Delta A_{s}}{A_{s}}\times 100\,\%$

$\% A_{s} = \frac{15.080\,in^{2}}{5026.548\,in^{2}}\times 100\,\%$

$\%A_{s} = 0.300\,\%$

4 0

3 years ago

55% of 6th grade students voted in the student election. 440 sixth grade students voted in the student election. How many total

Ne4ueva [31]

Answer:

800. Here's why:

Step-by-step explanation:

This indicats that 440 students make up 55% of the 6th grade population. We can write this as

55/440.

We also know that 'x' total students make up 100% of the 6th-grade population, so we can write this as

100/x.

55/440 must be equal to 100/x. When cross multiplied, it becomes 50x=44000. If we divided each side by 50, we'll find that x=880. Therefore, there are 800 6th graders

8 0

3 years ago

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PLSSSSS HELP ME

Nikitich [7]

Well, the graph of 1/4x+5 would be shifted 5 units up since the y-intercept would pass through 5. Due to the y- intercept being different, however the slope would still be the same

3 0

3 years ago

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If there are 500 animal crackers in the jar how many elephants are in the jar?

Vsevolod [243]

Answer:

Don't know because there is only 1 number there is no another . please write answer in comment

8 0

3 years ago

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