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Airida [17]
3 years ago
6

6. A shoe store sells boots,

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

9076

Step-by-step explanation:

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A square poster has a side length of 26 in. Drawn on the poster are four identical triangles. Each triangle has a base of 8 in.
Firdavs [7]
To find the probability of landing on a triangle, you will want find the combined areas of the triangles and the total area of the square target.

Divide the area of the combined areas and the total area to find the probability of landing on a triangle.

A = 1/2bh
      1/2 x 8 x 8
A = 32 square inches
32 x 4
128 square inches (areas of triangles)

A = bh
     26 x 26
A = 676 square inches

128/676 = 0.189

There is an approximate probability of 0.19 of hitting a triangle.
6 0
3 years ago
Read 2 more answers
What is the unit rate
Andrew [12]

Answer:15 1/2 miles per gallon


Step-by-step explanation:

Since you want to find the unit rate you have to find the miles per gas.

You divide and get 15 1/2miles per gallon

7 0
4 years ago
A model rocket is launched directly upward at a speed of 50 meters per second from a height of 8 meters. The function f(t)=−4.9t
Gnoma [55]

Answer:

t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36

t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158

And since the time can't be negative we have that:

t= 10.36 seconds

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

Step-by-step explanation:

For this case we have the function of the height in terms of the time givenby:

h(t) = -4.9t^2 +50 t+8

And we want to known when the rockect hit the ground and for this case we need to solve the equation h=0

-4.9t^2 +50 t+8 =0

And as we can see we have a quadratic equation like this one:

ax^2 +bx+c

Where: a =-4.9 , b =50 c =8

And the general solutions are given by:

x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}

If we replace the values that we have we got:

t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36

t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158

And since the time can't be negative we have that:

t= 10.36 seconds

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

6 0
4 years ago
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment t
Sati [7]

Answer:

a13=310.7

Step-by-step explanation:

Formula= an=a1r^n-1

a13=1100(0.9)13-1

a13=310.7

5 0
3 years ago
In the expression (x+y)^8, if x=0.3 and y=0.7 , what is the numerical value of the third term?
DanielleElmas [232]

Answer:

  0.01000188

Step-by-step explanation:

The third term is ...

  8C2·x^6·y^2 = 28 x^6 y^2

Putting in the given values for x and y, we get ...

  28·3^6·7^2·10^-8 = 1000188×10^-8 = 0.01000188

_____

8C2 = 8!/(2!·(8-2)!) = 8·7/(2·1) = 28

3 0
3 years ago
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