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Alex73 [517]
2 years ago
6

HELP ME, math PLEASE PLEASE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
7 0

Step-by-step explanation:

the area of a rectangle is length×width.

area of the original rectangle (before its sides are. multiplied) :

Ao = length original × width original

length new = length original × 4

width new = width original × 4

the area of the new rectangle is then :

An = length new × width new =

= length original × 4 × width original × 4 =

= length original × width original × 4 × 4 =

= length original × width original × 16 =

= Ao × 16

so, the fourth answer option is correct. the area increases by a factor 16.

two objects of shapes are similar, if their angles are the same, and exchanged side length of one object correlates with the corresponding side length of the other b object with the same ratio.

we see the ratio of one corresponding pair of side lengths is 2/4 = 1/2. so, every side length of the small prism is half as long as the corresponding side length in the large prism.

the volume of such a prism is the multiplication of 3 side lengths : length, width, height.

each one has now a scaling factor of 1/2.

so, the volume decreases by the cube of the scaling factor: 1/2×1/2×1/2 = 1/2³ = 1/8

so,

Vsmall = Vlarge × 1/8 = 2720/8 = 340 cm³

therefore, again, the fourth answer option is correct.

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We have been given graph of a downward opening parabola with vertex at point (6.5,42.25). We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is f(x)=ax^2+bx+c.

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is y=a(x-h)^2+k, where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

0=-a(0-6.5)^2+42.25

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
Liono4ka [1.6K]

Answer:

The wall is 10.5 foot far from the bottom of the ladder.

Step-by-step explanation:

Given:

Height of the ladder leaning against wall (Hypotenuse) = 20 foot.

Height from where the window is above from the ground (Leg1) = 17 feet.

To find the distance of the bottom of the ladder far from the wall (Leg2) = ?

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