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3 years ago

This Is Graded, Please Help TYSM!

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

Answer: For the cirlces since I already answered the triangles

1. Area:660.519855417

Circumference:91.1061869541

2. Area: 572.555261117

Circumference:84.8230016469

3. Area:283.528736986

Circumference:59.6902604182

4. Area:1017.87601976

Circumference:113.097335529

5. Area: 63.6172512352

Circumference: 28.2743338823

6. Area:380.132711084

Circumference:69.115038379

Step-by-step explanation:

The formula for the area of a circle is π*r^2, r being the radius or the half line in the circle, and the formula for the circumference is π*r*2, or π*d, or the diameter which is the line that goes all the way through like number 5. The radius is half the diameter.

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In two or more complete sentences, explain what additional information is needed to prove triangle CES congruent to triangle RST

11Alexandr11 [23.1K]

<span>We already know that angles ECS and TRS are congruent, because they are both right angles (given). We also know that angles CSE and RST are congruent because they are vertical angles and vertical angles are always congruent. That gives us two sets of congruent angles. We just need to know something about one pair of sides to prove the two triangles congruent to each other. I do question the order of the letters in the names of the triangles--if that's really the order the letters are written in the problem, then we would need to know that ES is congruent to RT or that CS is congruent to ST. If the order of the letters of the names of the triangles is a little different we would need to know that CS is congruent to RS or that any of the other sides that appear to match are actually congruent. </span>

3 0

3 years ago

Read 2 more answers

weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of 50. find the probabil

GalinKa [24]

Answer:

47.5%

Step-by-step explanation:

Find the z-scores:

z = (x − μ) / σ

z₁ = (300 − 400) / 50 = -2

z₂ = (400 − 400) / 50 = 0

300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.

From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations. Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.

95% / 2 = 47.5%

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3 years ago

Solve the equation -1/2=y-1

vodomira [7]

Add one to the other side and y=1/2

7 0

4 years ago

Read 2 more answers

What dimensions of the box maximize the volume of the box?<br><br> please help thank you so much!

bonufazy [111]

so, let's recall that the volume of a rectangular prism, namely a box, is Lwh, just the product of its dimensions, length, width and height.

now, check the 1st picture below. we know the original paperboard is a 16x14, so the width, as you see in the picture is w = 8 - x, its length is L = x, and its height is 14 -(x/2) - (x/2).

$\bf V(x)=\stackrel{L}{(x)}\stackrel{w}{(8-x)}\stackrel{h}{\left( 14-\cfrac{x}{2}-\cfrac{x}{2} \right)}\implies V(x)=(8x-x^2)(14-x) \\\\\\ V(x)=112x-8x^2-14x^2+x^3\implies V(x)=x^3-22x^2+112x$

now, let's find the critical points, by setting the derivative to 0, and then we'll do a first-derivative test.

$\bf \cfrac{dV}{dx}=3x^2-44x+112\implies 0=3x^2-44x+112 \\\\\\ \textit{plugging those values in the quadratic formula}\qquad x\approx \begin{cases} 11.39\\ 3.28 \end{cases}$

now, if we plot those two points, we get 3 regions, and then we check each of those regions to see what's the value of the first derivative.

check the 2nd picture below, that'd be the first derivative test, as you can see from the arrows, the slope increases and then decreases at 3.28, namely that critical point is the maximum, so the Volume maximizes at x = 3.28.

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3 years ago

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Alchen [17]

Answer:

$79.94=4x+$5.98 or you could write it the other way 4x+$5.98=$79.94 either way you get same answer

Step-by-step explanation:

4 0

3 years ago