Susan walked for 30 minutes. Reggie walked 3 times longer than Susan.
1 answer:
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See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer is
the hypotenuse is (3√2)/2
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer is
the hypotenuse is (3√2)/2
Answer:
The answer is
<h2>2√74 or 17.20 units</h2>Step-by-step explanation:
The length of w line segment between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
S(-8, 7) and T (6,-3)
The length of ST is
We have the final answer as
<h3>2√74 or 17.20 units</h3>Hope this helps you
Answer:
a
The null hypothesis is
The alternative hypothesis is
b
c
d
There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns
Step-by-step explanation:
From the question we are told that
The sample size is
The number that said it is morally wrong is
The level of significance is
The population proportion is
Generally the sample proportion is mathematically represented as
=>
=>
The null hypothesis is
The alternative hypothesis is
The standard error is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally the p-value is mathematically represented as
From the the z-table
=>
=>
From the calculation
Hence we fail to reject the null hypothesis
Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns