Answer:
a). 
grains
b). 
c). 
years
Step-by-step explanation:
a). Given Sahara desert has an area of approximately = 9400000 km²
= 9400000×(10000000000) cm²
= 
cm²
Depth of the desert = 150 m
= 15000 cm
Volume of desert = Area × Depth
= 
= 
cm³
Since 1 cm³ holds sand grains = 8000
Therefore, Grains in Sahara Desert = 
=
b). Since 1 cm³ = 8000 grains
1 grain = cm³
c). A truck can carry sand = 20.5 m³ Or 
= 
cm³
Now time taken to recreate Sahara Desert = 
seconds
= 
= 
seconds
= 
years
= years
Answer:∴ Let the Perpendicular and the Hypotenuse of the Right angled triangles be 3x and 7x ...
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The LCD (Least Common Denominator) of all the fractions is 4, so you only need to multiply by 4.
Hope this helps :)
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
- If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)
- If f(x) translated vertically k units, then its image h(x) = f(x) + k
Let us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
- a translation of 5 units up
- a vertical stretch with a scale factor of 2
