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Vitek1552 [10]
4 years ago
12

A map is drawn using a scale of 1cm/80 mi. two cities are 280 miles apart

Mathematics
1 answer:
Nookie1986 [14]4 years ago
7 0

Answer:

the cities are 3.5 cm apart.

Step-by-step explanation:

all you have to do is divide 280/80

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For a project on Egypt, Nick is building a paper model of a square based pyramid. The square base measures 8 inches by 8 inches.
gladu [14]

Answer:

Step-by-step explanation:

The square base measures 8 inches by 8 inches. The slant height is 10 inches.

The formula for determining the area of the square base of the pyramid is l^2. Therefore,

Area of the base = 8^2 = 64 inches^2

The formula for determining the perimeter of the square base is

4l. It becomes

4 × 8 = 32 inches

The amount of construction paper needed to make this pyramid is the total surface area of the pyramid. Therefore,

Total surface area = (1/2 × 32 × 10) + 64

= 160 + 64 = 224 inches^2

5 0
3 years ago
Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
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PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
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3 years ago
What is the length of AB? Help ASAP
SCORPION-xisa [38]

Answer:

6/8

Step-by-step explanation:

simplify and find the slope

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3 years ago
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MA_775_DIABLO [31]
Comment
Multiply 5 by 25 to find the total points Larry needs to score in 5 games. 5 × 25 = 125.

Then find the total points Larry scored in the first 4 games. 4 × 23 = 92.Subtract to find the number of points Larry needs to score in the fifth game. 125 – 92 = 33 points.Larry needs to score 33 points in the last game.
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4 years ago
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What's greater 4/7 or 5/9 cause I have a stay at home quiz and I'm confused
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4/7. Isgreater because the smaller the fraction the more its worth
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