In the dig ram below line l is parallel to line m. Which angles are congruent to angle 1
1 answer:
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Answer:
length of chord is 6cm
Step-by-step explanation:
Here, we are to calculate the length of the chord.
It should be understood that the chord has a length of 0.8cm from the center of the circle of radius 3cm, thereby forming two right-angled triangles with the radius 3cm being the hypotenuse of each and 0.8cm being the height of each.
Now, the chord is divided into 2 by this height dropping from the center of the circle. To calculate the first half, we use Pythagoras’ theorem with 3cm being hypotenuse and 0.8cm being the other side.
mathematically;
3^2 = 0.8^2 + l^2
9 = 0.64 + l^2
l^2 = 9-0.64
l^2 = 8.36
l = √(8.36)
l = 2.89 approximately
The length of the chord would be 2l = 2 * 2.89 = 5.78 cm which is 6cm to the nearest length
Answer:
The money left after gasoline expenses was <u>$622.50</u>.
Step-by-step explanation:
Given:
Last month, family had used 40% of the monthly income for gasoline, and 63% of that gasoline was consumed by the family's SUV.
The family's SUV used $261.45 worth of gasoline previous month.
Now, to find the money left of the family monthly income after gasoline expenses.
Let the total money spend on gasoline be
As, given:
The family's SUV used $261.45 worth of gasoline, which was 63% of the gasoline that was consumed.
According to question:
<em>Dividing both sides 0.63 we get:</em>
<u><em>The total money spend on gasoline = $415.</em></u>
Now, 40% of the monthly income is used for gasoline.
Let the total monthly income be
So, to get the monthly income we put an equation:
<em>Dividing both sides by 0.40 we get:</em>
<u><em>The total monthly income = $1037.50.</em></u>
Now, to get the money left after gasoline expenses we subtract the total money spend on gasoline from the total monthly income:
Therefore, the money left after gasoline expenses was $622.50.
Given:
The area model.
To find:
The area as a sum and area as a product.
Solution:
The four terms of the area model are .
The area as a sum is the sum of all the terms of given area model.
Area as a sum =
=
The area as a product is the factor form of sum of all the terms of given area model.
Area as a product =
=
=
Therefore, the area as a sum is and the area as a product is
.