1)you can use any side as the__ of a triangle.
1 answer:
Answers:
(1) Base
(2) Sector of a circle
(3) Radius
(4) Adjacent arcs
(9) 30
(13) 256 ft^2
(17) <span>4156.92 cm^2
Explanations:
(1) It's a common convention that you can choose any side of a triangle as a base, but in specific cases like in the right-angled triangle, the base should always be the adjacent leg with which the 90 degree angle is made. In other words, in the case of right-angled triangle, the two legs of a triangle must be perpendicular to one another (meaning make 90 degrees angle). But in general triangles you can choose any side as a base of a triangle.
(2) The image is attached below. As you can see that a sector of a circle is actually the region which is shaded. Two radii that meet at the end points of an arc yield a region within a circle know as "sector". Hence the correct fill in the blank is the "sector of a circle."
(3) </span><span>The radius of a regular polygon is the distance from the center to any </span>vertex<span>. It is the same for each and every vertex. The radius is also the radius of the polygon's </span>circumcircle, which is the circle that passes through every vertex. In this role, it is sometimes called the circumradius. Hence the correct answer is "radius."<span>
(4) Adjacent arcs in simple words are the arc that lie next to each other. They have one point in common being next to each other. Hence the correct answer is adjacent arcs. One interesting fact is that a circle is made up of very large number of adjacent arcs.
(9) As the hypotenuse is mentioned, it means that it is a right-angled triangle; therefore:
Area of a right angled triangle = 1/2 * base * height
</span>Area of a right angled triangle = 1/2 * 5* 12 = 30 ft^2<span>
(13) The picture consists of FOUR right-angled triangles (making a parallelogram) therefore the area would be:
Area = 4 * </span>1/2 * base * height
Area = 4 * 1/2 * 12.8* 10 = 256 ft^2
(17) The general formula for the area of a polygon is:
Area =
Where P = perimeter = 6a (hexagon)
=> a = P/6
Plug in the values
Area =
(1) Base
(2) Sector of a circle
(3) Radius
(4) Adjacent arcs
(9) 30
(13) 256 ft^2
(17) <span>4156.92 cm^2
Explanations:
(1) It's a common convention that you can choose any side of a triangle as a base, but in specific cases like in the right-angled triangle, the base should always be the adjacent leg with which the 90 degree angle is made. In other words, in the case of right-angled triangle, the two legs of a triangle must be perpendicular to one another (meaning make 90 degrees angle). But in general triangles you can choose any side as a base of a triangle.
(2) The image is attached below. As you can see that a sector of a circle is actually the region which is shaded. Two radii that meet at the end points of an arc yield a region within a circle know as "sector". Hence the correct fill in the blank is the "sector of a circle."
(3) </span><span>The radius of a regular polygon is the distance from the center to any </span>vertex<span>. It is the same for each and every vertex. The radius is also the radius of the polygon's </span>circumcircle, which is the circle that passes through every vertex. In this role, it is sometimes called the circumradius. Hence the correct answer is "radius."<span>
(4) Adjacent arcs in simple words are the arc that lie next to each other. They have one point in common being next to each other. Hence the correct answer is adjacent arcs. One interesting fact is that a circle is made up of very large number of adjacent arcs.
(9) As the hypotenuse is mentioned, it means that it is a right-angled triangle; therefore:
Area of a right angled triangle = 1/2 * base * height
</span>Area of a right angled triangle = 1/2 * 5* 12 = 30 ft^2<span>
(13) The picture consists of FOUR right-angled triangles (making a parallelogram) therefore the area would be:
Area = 4 * </span>1/2 * base * height
Area = 4 * 1/2 * 12.8* 10 = 256 ft^2
(17) The general formula for the area of a polygon is:
Area =
Where P = perimeter = 6a (hexagon)
=> a = P/6
Plug in the values
Area =
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Answer:
Test statistic t=6.505
P-value=0
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that parents tend to underestimate their youngest child's size.
Then, the null and alternative hypothesis are:
The significance level is assumed to be 0.05.
The sample has a size n=39.
The sample mean is M=7.5.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):
As the P-value (0) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.