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Dvinal [7]
4 years ago
5

Find the area of the rectangle.

Mathematics
1 answer:
kirill115 [55]4 years ago
4 0

Answer:

40 units²

Step-by-step explanation:

Area of Rectangle: A = lw

Step 1: Define variables

<em>l</em> = 8

<em>w</em> = 5

Step 2: Substitute and evaluate

A = 8(5)

A = 40 u²

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An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and
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Volume of cone=(1/3)hpir^2

d/2=r
d=2
d/2=2/2=1=r
h=6

V=(1/3)6pi1^2
V=2pi in^3 is volume

ratio of 2:1

2+1=3
2pi=3 units
divide both sides by 3
2/3pi=1 unit

vanila=2 units
times 2/3pi by 2
4/3pi
aprox pi=3.141592
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round
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3 years ago
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What is the equation of the line shown in the graph?
postnew [5]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-3, 1) and (2, -4). Substitute:

m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1

Therefore we have the equation of a line

y=-1x+b\to y=-x+b

Put the coordinates of the point (-3, 1) to the equation:

1=-(-3)+b

1=3+b      <em>subtract 3 from both sides</em>

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What is 56,276 rounded to the nearest 10t
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3 years ago
Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A
FrozenT [24]

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

4 0
3 years ago
When is it helpful to convert from point-slope to slope-intercept form?
Lena [83]

Answer:

Point slope form is to find the coordinates of the point on the line, whereas slope intercept gives you the slope plus y-intercept

Step-by-step explanation:

5 0
3 years ago
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