a) 5/7
b) 4459 cm cube
c) 2275 cm cube
Step-by-step explanation:
Step 1 :
a)
The Side AB (28 cm) has been scaled to side DE (20 cm)
Let x b the scale factor.
Then we have 28 *x = 20
=> x = 20/28 = 5/7
Hence the scale factor is 5/7
Step 2 :
b)
Given the height of the triangular prism is 15 cm
Volume = ( 1/2 ) * base* height of the triangle * height of the prism
= (1/2)* 21*28*15 = 4410 cm cube.
Step 3 :
c)
Given volume of the triangular prism with base ABC is 4459 cm cube
The scale factor is 5/7
Hence the volume of the prism with DEF as base is
4459 * (5/7)*(5/7) = 2275 cm cube.
Answer:
<u>300 feet</u>
Step-by-step explanation:
The absolute value of a number is defined as that number's distance from 0 (the origin) on a number line, regardless of direction.
In this case, the origin can be represented by sea level. Since the lowest point of 300 feet is taken by reference to sea level, it can be said that the absolute value of the point is 300 feet, since this represents its vertical distance from sea level.
Hope this helps!
12x+1=-7
-1 -1
12x=-6
/12 /12
x=-1/2 or x=-0.5
Correct option is D) -0.6.
<u>Step-by-step explanation:</u>
We have 
. Also, we know that 
. Let's find out value of 
using above formula:
⇒
⇒ 
⇒ 
⇒ 
⇒ 
But we know that cos
is negative in third quadrant , Therefore 
.
Hence, correct option is D) -0.6.
Answer:
V=7982.4 in
Step-by-step explanation:
V=4/3pi*r^3
V=4/3pi*12.4^3
V=4/3pi*1906.62
V=7626.48/3pi
V=2542.16pi
V=2542.16*3.14
V=7982.4
