2<span>, 3, 5, 7, 11, </span>13<span>, 17, 19, 23, 29, 31, </span>37<span>, </span>41<span>, </span>43<span>, </span>47<span>. are the only numbers prime that are less than 50</span>
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Answer:
Step-by-step explanation:
The quadrilateral has 4 sides and only two of them are equal.
A) to find PR, we will consider the triangle, PRQ.
Using cosine rule
a^2 = b^2 + c^2 - 2abcos A
We are looking for PR
PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70
PR^2 = 64 + 49 - 112 × 0.3420
PR^2 = 113 - 38.304 = 74.696
PR = √74.696 = 8.64
B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,
We will use the sine rule because only one side,PR is known
For sine rule,
a/sinA = b/sinB
SP/ sin 35 = 8.64/sin110
Cross multiplying
SPsin110 = 8.64sin35
SP = 8.64sin35/sin110
SP = (8.64 × 0.5736)/0.9397
SP = 5.27
SR = SP = 5.27
The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm
The correct question is
<span>The distance from Colton's house to his school is 5/6 mi. He rides his bike 9/10 of this distance. How far did Colton ride his bike? Express your answer as a fraction in simplest form.
we know that
[</span><span>distance on a bike]=(5/6)*(9/10)---> (5/10)*(9/6)----> (1/2)*(3/2)----> 3/4 miles
</span>
the answer is
3/4 miles
Trenton's laptop would be 3.2 decimeters.
