Answer:
112°
Step-by-step explanation:
Given that the diagonals of trapezoid RSTU are congruent, it is an Isosceles Trapezoid.
One of the properties of an Isosceles Trapezoid is that the base angles are equal.
Therefore if the measure of angle S=112°, the measure of Angle U will also be 112°.
To solve this, we are going to use the compound interest formula:

where

is the final amount after

years

is the initial investment

is the interest rate in decimal form

is the number of times the interest is compounded per year
For the first 4 years we know that:

,

,

, and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore,

. Lest replace those values in our formula:




Now, for the next 6 years the intial investment will be the final amount from our previous step, so

. We also know that:

,

, and

. Lets replace those values in our formula one more time:




We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>
Answer:
R = (- 3.5, - 7 )
Step-by-step explanation:
Using the Section formula
=
=
=
= - 3.5
=
=
=
= - 7
Thus coordinates of R = (- 3.5, - 7 )
<u>The given options are:</u>
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
Answer:
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Step-by-step explanation:
The area of the shaded sector can be determined using the formula:



Therefore, the formula is:

Therefore, the formula is best explained by Option A.
Answer:
A shape with two pairs of parallel lines, perpendicular lines, and two pairs of equal sides can be best described as a rectangle.