Answer:
EF is 1.98
Explanation:
For right triangles, you solve for sides and angles using the trig. ratios. You remember then with the acronym SohCahToa.
It is read as:
<u>S</u>ine is <u>o</u>pposite over <u>h</u>ypotenuse.
<u>C</u>osine is <u>a</u>djacent over <u>h</u>ypotenuse.
<u>T</u>angent is <u>o</u>pposite over <u>a</u>djacent.
Which side is opposite or adjacent depends on which angle is the angle of reference, the angle you are talking about. The adjacent side touches the angle of reference.
In this problem, angle D can be the angle of reference.
Since we know DF the hypotenuse, and we are looking for EF, the opposite side, we should use the Sine ratio.
sin D = sin 26° ≈ 0.44
sin D = EF/DF = EF/4.5
Substitute sinD for 0.44 and then isolate EF.
0.44 = EF/4.5
0.44(4.5) = EF Multiply both sides by 4.5
EF = 1.98
The measurement of EF is 1.98.
Answer:
Do using Pythagoras theorem... Also before doing a question of height and distance always try to make the figure
Step-by-step explanation:
Use the two triangles ABC and ABD to first get the base and find the height of the ladder
Answer:
72
Step-by-step explanation:
because 6 x 10 is 60 so 6 x 2 is 12, so 12 + 60 is 72.
Answer:
Lowest IQ: 89.875
Highest IQ: 110.125
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
.
He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study?
The middle 50% is the interval from the 25th percentile to the 75th percentile.
Lowest IQ:
This is the measure in the 25th percentile. That is X when Z has a pvalue of 0.25. So it is
Highest IQ:
This is the measure in the 75th percentile. That is X when Z has a pvalue of 0.75. So it is