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faltersainse [42]
2 years ago
6

the measure of the angles of a triangle are in the extended ratio 3 : 5 : 7 what is the measure of the smallest angle?

Mathematics
2 answers:
julia-pushkina [17]2 years ago
6 0
3:5:7:15
?:?:?:180
by using cross multiplication 3×180÷15=36
the measure of the smallest angle is 36°
Artyom0805 [142]2 years ago
6 0
Here, sum of ratios = 3 + 5 + 7 = 15
Value of 1 unit = 180 / 15 = 12

So, Ratio measures = 3(12), 5(12), 7(12) = 36, 60, 84

In short, Your Answer would be 36 [ smallest side ]

Hope this helps!
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Answer:

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Explanation:

write as : <span>y=50000<span><span>(0.8)</span>x</span></span>

Taking logs:

<span><span>log<span>(y)</span></span>=<span>log<span>(50000)</span></span>+<span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span></span>

But <span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span> is the same as <span>x<span>log<span>(0.8)</span></span></span>

Thus
<span>x=<span><span><span>log<span>(y)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

</span></span></span></span></span>Now swap the x'x and the y's giving:<span><span><span><span><span>
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<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

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4 0
3 years ago
In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i
kati45 [8]

Answer:

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And the statistic to check the significance of a coeffcient in a regression is given by:

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For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}

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2 years ago
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