Answer:
Step-by-step explanation:
From the given information, it is clear that the shape of ant form is rectangular prism.
Let us write formula for volume of rectangular prism (ant form)
V = l x w x h
Use the formula to write an equation.
Plug V = 375, w = 2.5 and l = 15
375 = 15 x 2.5 x h
375 = 37.5 x h
Divide both sides of the equation by 37.5
375/37.5 = (37.5 x h)/37.5
10 = h
Hence, the height of the form is 10 inches.
Answer:
There are 14 horses and 21 chickens.
Step-by-step explanation:
First, you have to make expression for horse and chicken. So we can let x be the number of horses and y will be the number of chickens. Next, given that the total number of feet for both animals is 98 so you have to make simultaneous equation :
( horse has 4 feet and chicken has 2 feet )
There are a total of 35 heads so the other equation will be :
Lastly, you have to solve it :
1-(-3)=4 slope= -4
4-5 =-1
y-y1=m(×-×1)
y-(-1)=-4(x-(-4))
y-(-1)=-4x+16
+1. +1
y= -4x+17
I hope it serves you
Answer:
c = 10 , d = 26
Step-by-step explanation:
In the rectangular prism, we know the fact that the three faces are mutually perpendicular to each other. So, it has a rectangular base.
Given, the length and breadth of the rectangle are 8 and 6 units, and the diagonal is c.
Since it is a rectangle, length , breadth and diagonal from a <em>right angled triangle.</em>
So we have, c² = 6² + 8² = 36 + 64 = 100
⇒ c = 10 units
For the side face:
Length = 24 units.
As we can see, the edge of the side face is perpendicular to the base of the prism. Which means, any line on the base of the prism is perpendicular to the 24units side edge.
So we can say that , the diagonal of the rectangular base of the prism (c) is perpendicular to the 24 units side face edge.
Hence, 24 , d and c (which is 10units) form a <em>right angled triangle</em>
<em> </em>From <em>pythagoras theorem:</em>
d² = 24² + 10² = 576 + 100 = 676
⇒ d = 26 units
Answer:
x=20
m<B=92 degrees
m<C=40 degrees
Step-by-step explanation:
48+6x-28+2x=180
20+8x=180
8x=160
x=20
(6(20)-28)=92
2(20)=40
So, x=20, m<B=92 degrees and m<C=40 degrees