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3 years ago

One number is 5 times another number. The product of the two numbers is 245. Find the two numbers

Mathematics

2 answers:

Mice21 [21]3 years ago

7 0

The numbers are 7 and 35. 35 is 5 times 7 and both are multiplied together to get 245.

ra1l [238]3 years ago

4 0

Y= 5x

x+y= 245

X+ (5X) = 245

6X = 245

divide both sides by six and their is your answer :)

good luck! and message me if you have any more questions and you want to learn and not cheat you way out of it

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The formula for the area of a trapezoid with altitude k and bases m and n is . A=k/2 (m+n) solve for m..

SashulF [63]

Answer:

$m=A\times\frac{2}{k}-n$

Step-by-step explanation:

Given : The formula for the area of a trapezoid with altitude k and bases m and n is $A=\frac{k}{2}(m+n)$

We have solve for m .

Consider the given formula $A=\frac{k}{2}(m+n)$

Multiply both side by $\frac{2}{k}$ , we have,

$A\times\frac{2}{k}=m+n$

Now subtract n both side, we have,

$A\times\frac{2}{k}-n=m$

Thus, $m=A\times\frac{2}{k}-n$

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In the interval 0 x 360 find the values of x for which cos x =0.7252

Sergeeva-Olga [200]

Answer:

$x_1 = 43.5145\°$

$x_2 = 316.4855\°$

Step-by-step explanation:

We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).

Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.

The value of x can be calculated using:

$x = arccos(0.7252)$

Using this function in a calculator (you may find it as: $cos^{-1}(x)$ ), we have that:

$x_1 = 43.5145\°$

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

$x_2 = 360\° - 43.5145\° = 316.4855\°$

So the values of x are:

$x_1 = 43.5145\°$

$x_2 = 316.4855\°$

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