Answer:
104 m²
Step-by-step explanation:
From inspection of the diagram, we can see that the composite figure is made up of a triangle <u>and</u> a rectangle.
<u>Triangle</u>
If you turn the figure 90° clockwise, you will see that the base of the triangle = 8m and the height of the triangle = 6m.
Area of a triangle = 1/2 x base x height
⇒ area of the triangle = 1/2 x 8 x 6 = 24 m²
<u>Rectangle</u>
From inspection, the length of the rectangle = 10m and the width = 8m
Area of a rectangle = length x width
⇒ area of the rectangle = 10 x 8 = 80 m²
<u>Composite figure area</u>
Therefore the total area of the figure = area of triangle + area of rectangle
⇒ total area = 24 + 80 = 104 m²
Answer:
I dont know what that kid was starting to try and type but the answer is :
b^x * b^y = b^x+y therefore (A)
Answer:
7/15 km
Step-by-step explanation:
Find the least common denominator between the two fractions. The least common denominator in this case would be 15, so you have to multiply 1/3 by 5 to have a denominator of 15. Then you multiply 1/5 by 3 to have a denominator of 15. You will find that Mark ran a distance of 2 5/15 km and Shaun ran 3 3/15 km. To make it even easier, you can add the whole number back into the fraction so Mark will have ran 35/15 km and Shaun will have ran 48/15 km meaning that Shaun will have ran more. Then you set you fractions up and subtract them.
The average force exerted by the block exists at -375 N.
<h3>
How to find the average force exerted by the block?</h3>
Given:
Initial Velocity, u = 50m/s
Displacement, s = 10cm = 0.10m
Mass, m = 0.03Kg
Using the relation,
Substitute the values in the above equation, we get:
We know that, f = ma
Putting the values, we get:
f = (0.03)(-12500)
f = -375 N
The average force exerted by the block exists at -375 N.
To learn more about average force refer to:
brainly.com/question/18652903
#SPJ9
Answer:
Option C is correct.
Step-by-step explanation:
y = x^2-x-3 eq(1)
y = -3x + 5 eq(2)
We can solve by substituting the value of y in eq(2) in the eq(1)
-3x+5 = x^2-x-3
x^2-x+3x-3-5=0
x^2+2x-8=0
Now factorizing the above equation
x^2+4x-2x-8=0
x(x+4)-2(x+4)=0
(x-2)(x+4)=0
(x-2)=0 and (x+4)=0
x=2 and x=-4
Now finding the value of y by placing value of x in the above eq(2)
put x =2
y = -3x + 5
y = -3(2) + 5
y = -6+5
y = -1
Now, put x = -4
y = -3x + 5
y = -3(-4) + 5
y = 12+5
y =17
so, when x=2, y =-1 and x=-4 y=17
(2,-1) and (-4,17) is the solution.
So, Option C is correct.