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2 years ago

3 hundred thousand 3 thousand 8 hundred 4 tens

Mathematics

1 answer:

alekssr [168]2 years ago

3 0

Answer:

3384

Step-by-step explanation:

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A sphere has diameter 28 cm. If the diameter is divided by 2, what is the effect on the surface area?

spayn [35]

Answer:

The surface area is divided by 4.

Step-by-step explanation:

Surface area of a sphere is 4πr².

When the diameter is 28 the radius is 14. So: 4π(14)² = 784π

If you cut the diameter in half you get 14. The radius is now 7.

4π(7)² = 196π.

784/4 = 196 so divided by 4.

4 0

2 years ago

Five times the larger number is 11 more than three time the smaller number. Also three times the smaller is 16 less four times t

alisha [4.7K]

Let the larger number be w and the smaller number be k;
5w-11=3k
3k+16=4w
Reorganizing the equations;
5w-3k=11
4w-3k=16
Subtracting equation 2 from equation 1:
w=-5
Replacing value of w in equation 1;
5(-5)-11=3k
-25-11=3k
3k=-36
k=-12
The numbers are -5 and -12

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2 years ago

The three sides of a triangle are: 16, 12 and 22. Is the triangle Acute, Right, or Obtuse?

tamaranim1 [39]

I know it’s not right, I think it’s obtuse

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3 years ago

Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a

Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given $y=\frac{\ln\left(5x)}{x^2}$

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

$y'=\frac{1-2\ln\left(5x)}{x^3}=0$

$x = \sqrt e/5$ is absolute maximum

$y''=\frac{6\ln\left(5x)-5}{x^4}=0$

$x=e^{5/6}/5$ is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

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3 years ago

A pole is used to support an observation platform. The top of the pole is secured by two guy wires, one 18 and the other 21 feet

Harman [31]

Let $A$ be the point on the ground to with the 18 foot guy is anchored and $D$ the point on the ground to with the 21 foot guy is anchored.

We can conclude that the <span>the two wires at the points where they are anchored are 21 feet apart. Check the procedures in the picture attached.</span>

5 0

2 years ago