Jamie says the value of the expression 1.43 ×(-24/47) is close to −0.75. Does Jamie's estimate seem reasonable? Explain.
1 answer:
Answer:
The estimate is reasonable.
Step-by-step explanation:
Jamie's estimate seems reasonable.
We can see that there is (-24/27) in the bracket, first of all there is negative sign so there will be negative sign in the answer. Moreover, 24 is near to half of 27 so fraction will result in -0.5XXXXX and multiplying it with 1.4 will increase it around -0.75.
We can solve the given fraction for confirmation,
So,
which is near to -0.75 so the estimate of Jamie was right ..
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<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting , the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;
Dividing, we get;
Taking on both sides of the equation, we get;
Rounding off to the nearest whole integer, we get;
Thus, the value of x is 48°
Hence, Option c is the correct answer.