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Serggg [28]
3 years ago
13

YOUR TURN

Mathematics
1 answer:
Ivahew [28]3 years ago
8 0

Answer:

Width: \frac{3in}{8ft} = \frac{5in}{x} (cross multiply)

   = 40 ÷3 ≈ 13.3ft

Width: \frac {3in}{8ft} = \frac{6.5in}{x}

   = 17.3

A=e × w

   = 13.3 × 17.3 ≈ 230.09 ≈ 230.1

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Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.
o-na [289]
First we have to find the tangent line:
y - y o = f ` ( x o ) * ( x - x o )
f ` ( x ) = 10 x
y - 80 = 40 ( x - 4 )
y = 40 x - 160 + 80
y = 40 x - 80
There are 2 parts of this region:
A =\int\limits^2_0 {5 x^{2} } \, dx +  \int\limits^4_2 {(5 x^{2} -40x+80)} \, dx= \\ 5 x^{3} /3  \left \{ {{2} \atop {0}} \right. +( 5 x^{3} -20 x^{2} +80x) \left \{ {{4} \atop {2}} \right.
A = 40/3 + 320/3 - 320 + 320 - 40/3 + 80 - 160 = 320/3 - 240/3 = 80/3 
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3 years ago
Name 2 same side interior angles
timurjin [86]
The interior angles on the same side of the transversal are supplementary. If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
5 0
3 years ago
What is true about ABC? Check all that apply.
Ira Lisetskai [31]

In the given triangle , Coordinates of A (-1,3) , B (-5,-1), C (3,-1).

Let's find the slope of AB and AC .

Formula of slope is

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}

For AB, slope is,

m = \frac{-1-3}{-5+1} = \frac{-4}{-4} =1

And slope of AC is

\frac{-1-3}{3+1} = \frac{-4}{4} = -1

Product of the slopes of AB and AC is

= 1* (-1) =-1

Since the product of the two slopes is -1, so AB and AC are perpendicular.

And if they are perpendicular, angle BAC is 90 degree, so the triangle is right triangle .

Now we check the length of the sides of the triangle, and for that we use distance formula , which is

d = \sqrt{ (x_{2} - x_{1} )^2 + (y_{2} - y_{1} )^2}

So for AB,

AB = \sqrt{ (-3-1)^2 + (-5+1)^2} = \sqrt{32} = 4 \sqrt 2

For AC,

AC = \sqrt{ (-1-3)^2 + (3+1)^2 } =\sqrt{32} = 4 \sqrt 2

For BC,

\sqrt{(-1+1)^2 + (3+5)^2 } = 8

And since two sides are equal, so the triangle is isosceles triangle .



8 0
3 years ago
Read 2 more answers
Help for a brainlist and +10 points added
saul85 [17]

Answer:

B. is the answer

Step-by-step explanation:

y>-3x+2

let's do one by one

A. Is 2>-3(-4)+2? negative times negative is positive so 2 is not greater than 12 +2 or 14

B. is 2>-3(4)+2? -3•4=-12 +2 =-10 so yes 2>-10

C. is -2>-3(-2)+2? negative •negative is positive 6+2=8 so -2 is not greater than 8

D. is 0>-3(-4)+2? -•-=+ so 12+2=14. so 0 is not greater than 14

7 0
3 years ago
Pls help me on this problem as soon as possible(if u don’t know pls do not answer
IgorC [24]
8 verticals i’m pretty sure if not uh yea
4 0
2 years ago
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