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2 years ago

I will give multiple brainlist to people who help me with these slides!

Mathematics

2 answers:

Vlad [161]2 years ago

8 0

Step-by-step explanation:

A. BC/FG = AC/EG

9/FG = 15/10

FG = (9 x 10) / 15

FG = 6

B. CD/EA= ST/UQ

Follow my account^^

lesantik [10]2 years ago

4 0

Answer:

A)6

B)ST

Step-by-step explanation:

A if u turn it, 15 is equal to the 10

15/9=10/x

x=90/15

x=6

B) Turn it so #2 is facing up.

ST is the same.

Hope this helps plz hit the crown :D

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What is the length of the missing side of the triangle? The figure is not drawn to scale.

NARA [144]

Answer:

Step-by-step explanation:

add all the numbers together to get your answer and divide it by two.

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2 years ago

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What is an equation of the line that passes through the points (-4, -5) and (-8, -2)?

nikklg [1K]

Solution:

Step-1: Find the slope of the line.

Formula of slope: y₂ - y₁/x₂ - x₁

y₂ - y₁/x₂ - x₁ = Slope
=> -2 - (-5)/-8 - (-4) = Slope
=> -2 + 5/-8 + 4 = Slope
=> 3/-4 = Slope

Step-2: Use the point slope formula to determine the slope.

Point slope form formula: y - y₁ = m(x - x₁)

y - y₁ = m(x - x₁) = Equation of line
=> y - (-5) = -3/4{x - (-4)} = Equation of line
=> y + 5 = -3/4{x + 4} = Equation of line
=> y + 5 = -3x/4 - 3 = Equation of line
=> y = -3x/4 - 8 = Equation of line

The equation of the line is y = -3x/4 - 8.

7 0

2 years ago

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g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur

sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

$\displaystyle V = \pi r^2h$

Substitute:

$\displaystyle (300) = \pi r^2 h$

Solve for h:

$\displaystyle \frac{300}{\pi r^2} = h$

Recall that the surface area of a cylinder is given by:

$\displaystyle A = 2\pi r^2 + 2\pi rh$

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for h.

$\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r} \end{aligned}$

Find its derivative:

$\displaystyle A' = 4\pi r - \frac{600}{r^2}$

Solve for its zero(s):

$\displaystyle \begin{aligned} (0) &= 4\pi r - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}$

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

$\displaystyle \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2} \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm} \end{aligned}$

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

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2 years ago

Darius takes his family on an afternoon boat ride.

adelina 88 [10]

The statement that is true would be later on as he crosses Stover Lake, he drives 30 minutes at the same average speed. Hope this helps

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2 years ago

Mr. Parks took his grandchildren to a baseball game with plans to spend no more than $35 on snacks. An order of nachos costs $5

Nataly [62]

I think the right answer is b i'm not sure

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3 years ago