1. Notice that our quadrilateral is EFGH is an isosceles trapezoid, so line segment FE is congruent to line segment GH. Knowing this, we can equate the measures for both sides and solve for : Now wen substituent the value of in GH: <span>We can conclude that the length of GH is 21 units. </span> 2. To solve this we are going to use the formula: where is the sum of the interior angles of the polygon. is the number of sides of the polygon. We know form our problem that the measures of the interior angles of the polygon is 3420°, so the sum if the interior angles of the polygon is 3420°. Lets replace that value in our formula and solve for : We can conclude that the polygon has 17 sides.
3. We can infer from our pictures that both triangles are right triangles, so to find their areas, we are going to find their bases and their heights, and then we are going to use the formula for the area of a triangle: where is the base of the triangle is the height of the triangle For triangle ABC: We can infer from our picture that the base of our triangle is the line segment AC and the height is the line segment AB. Using the distance formula: Now we can find the area of our triangle: square units
For triangle DEF: base=DF and height=FE Using the distance formula: Using the are formula: square units We can conclude that the area of triangle ABC is greater than the area of triangle DEF.
So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.
Plug in 18.8 for either <em>a </em>or <em>b. </em>Plug in the diagonal 23.7 for <em>c. </em>
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Therefore, the length is 14.4 meters. Now, find the perimeter:
The margin of error for her confdence interval is of 0.3757.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.8982
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
Standard deviation of 0.55 meters.
This means that
What is the margin of error for her 99% confidence interval?
The margin of error for her confdence interval is of 0.3757.