One number is 4 timesa second number. The sumof the two numbers is 30.find the numbers.
1 answer:
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Answer:
C
Step-by-step explanation:
Step 1: find BC
Given Triangles ABC and ADE are similar,
=
BC = x DE
= x 9
= 6 cm
Step 2: use Pythagorean theorem to find AC and / or AE
Consider triangle ABC,
by Pythagorean theorem,
AB² + BC² = AC²
AC² = 6² + 8² = 100
AC = √100 = 10 (answer... we can see that C is the only one with AC=10.
Step 3: Verify.. even though we know that it is C because AC = 10, you can verify that the ansewer is correct by finding CE and confirming that CE=5
By using similar triangles ABC and ADE,
AC/AE = AB / AD
AE = AD/AB x AC = 12/8 x 10 = 15
CE = AE - AC = 15 - 10 = 5 (answer confirmed)
Answer:
The domain of the function is R i.e. any real value.
Step-by-step explanation:
The given figure is a graph on the coordinate plane of the function
Now, the domain of a function means that the values of x (Independent variable) for which the function is valid i.e. the y values are real.
It is clear from the equation given above that for any real value of x there will be a real corresponding value of y.
Therefore, the domain of the function is R i.e. any real value. (Answer)
Answer:
The quantity of cement use is 125 pounds
The quantity of sand use is 375 pounds
The quantity of gravel use is 500 pounds
Step-by-step explanation:
Given as :
The ratio of cement to sand to gravel = 1 : 3 : 4
The total quantity of dry mix required = 1000 pounds
Let The quantity of cement required = 1 × x pounds
The quantity of sand required = 3 × x pounds
The quantity of gravel required = 4 × x pounds
So, According to question
The total quantity of dry mix required = The quantity of cement required + The quantity of sand required + The quantity of gravel required
Or, x + 3 x + 4 x = 1000 pounds
Or, 8 x = 1000 pounds
∴ x =
I.e x = 125
So , The quantity of cement required = 1 × 125 pounds = 125 pounds
The quantity of sand required = 3 × 125 pounds = 375 pounds
The quantity of gravel required = 4 × 125 pounds = 500 pounds
Hence The quantity of cement use is 125 pounds
The quantity of sand use is 375 pounds
The quantity of gravel use is 500 pounds
Answer