Answer:
The answer is : 23.25 in ²
Step-by-step explanation:
There are 3 triangles with the same lengths: height = 5in and base = 5 in
There is one triangle: height = 4.3 in base = 5 in
Formula
Area = height x base / 2
For the triangles
Area = 5 in x 5 in /2 = 25 /2 = 12.5 in²
For the triangle
Area = 4.3 x 5 /2 = 21.5 /2 = 10.75 in²
Total surface area = 12.5 + 10.75 = 23.25 in²
A unit circle is the one which has radius equal to 1.
The relation between radius of circle (r), the arc length (s) and the radian measure of angle made by arc (Ф) is given as:
s = rФ
For a unit circle, r = 1, so the above equation becomes:
s= Ф
This means, the arc length will be equal to the angle made by that arc in radians.
You shouldn't need a calculator for this. The quadratic equation is written in standard form.
ax^2 + bx + c = 0
You substitute a, b, and c into the discriminant formula and solve as shown in the example in the picture you provided.
(-7)^2 - 4(2)(-8)
49 - 4(-16)
49 - (-64)
49 + 64
113
Best of Luck!
640 is the answer you're welcome.
Answer:
93
Step-by-step explanation:
The average is calculated as
average = 
On 3 quizzes
= 73 ( multiply both sides by 3 )
sum = 219
On 4 quizzes, letting x be the score on fourth test
= 78 ( multiply both sides by 4 )
sum + x = 312 , that is
219 + x = 312 ( subtract 219 from both sides )
x = 93
She must score 93 on the next quiz