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3 years ago

Find the lateral area for the given prism. 1,092 cm^2 998 cm^2 1,272 cm^2 870 cm^2

Mathematics

1 answer:

storchak [24]3 years ago

3 0

This might help some this is mine from a little bit age =^-^=

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The street fair charges an admission price of $5 per person. In the first hour, one gate admitted 10 people. In the second hour,

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Answer:

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Step-by-step explanation:

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3 years ago

Find the value of x is y=0

Drupady [299]

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3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

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2 years ago

The length between the bases on a Major League Baseball diamond is 90 feet. Allyson wants to make a scale drawing of a baseball

Vinil7 [7]

Answer:

$\text{The scale is }\frac{1}{432}$

Step-by-step explanation:

Length between the bases on a major league diamond = 90 feet

1 feet = 12 inches

90 feet = 90 × 12

= 1080 inches

Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches

$\text{Scale factor = }\frac{\text{Actual length}}{\text{Scale length}}\\\\\text{Scale factor = }\frac{1080}{2.5}=432$

$\text{Hence, the scale is }\frac{1}{432}$

4 0

3 years ago