Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:
Both fractions are equal, so:
Applying cross multiplication:
The value of x is 3.
Answer:
0.225 L of milk, would be
required if she uses 450 m L of water.
Step-by-step explanation:
Here, to make the shake, ingredients used by Dina are:
40 m L of chocolate syrup,
200 m L of milk, and 400 m L of water.
So, here Amount of water used = 2 x ( Amount of Milk used) ....... (1)
Now,again the amount of water used by Dona = 450 m L
Let us assume the milk used by her = k m L
⇒ 450 m L = 2 x ( k m L) ( from (1))
or, 450 = 2 k
⇒ k = 450/2 = 225
⇒ k = 225 m L
Also, 1 m L = 0.001 L
So, 225 m L = 225 x 0.001 = 0.225 L
⇒ k = 0.225 L
Hence, 0.225 L of milk, would be
required if she uses 450 m L of water.
Answer:
Step-by-step explanation:
step 1
Find the value of x
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem we have that
∆EGF~∆EML
so
substitute the given values
solve for x
step 2
Find MG
we know that
substitute
F(x) = x^(1/3)
f(8000) = 8000^(1/3) = 20
f'(x) = 1/3 * x^(-2/3)
f'(x) = 1/(3x^(2/3))
f'(8000) = 1/(3*8000^(2/3)) = 1/(3*400) = 1/1200
Linear approximation for f(x) about x = 8000
L(x) = f(8000) + f'(8000) (x−8000)
L(x) = 20 + 1/1200 (x−8000)
8030^(1/3) ≈ L(8030)
= 20 + 1/1200 (8030−8000)
= 20 + 30/1200
= 20 + 1/40
= 20.025
Answer:
30
Step-by-step explanation:
TAN (R) = SR / ST
TAN (R) = 2/ 2sqr3
CONVERT OF TAN ^-1 (2 / 2sqr3) = 30
