14 units^2 because you divide the shape into two parts find the area of each shape then add it together
I think 4 gallons.
There's 2 pints in 1 quart
And 4 quarts in 1 gallon.
So, 32/2 = 16 then divided by 4 = 4.
Answer: 89
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**
Answer:
70 - 5√10 ft²
Explanation:
Perimeter is the distance around a two-dimensional shape.
area of rectangle: length x width
Here given:
length: (3√2 + 4√5) ft
width: (-5√2 + 5√5) ft
Solve for perimeter:
length x width
(3√2 + 4√5) x (-5√2 + 5√5)
<u>apply distributive method</u>
(3√2)(-5√2) + (3√2)(5√5) + (4√5)(-5√2) + (4√5)(5√5)
<u>multiply</u>
-15(2) + 15√10 -20√10 + 20(5)
<u>combine</u>
-30 -5√10 + 100
<u>simplify</u>
70 - 5√10
Answer:

Step-by-step explanation:
Please find the attachment.
We have been given that area of triangle ABC is 3√2 square inches.

We know that area of triangle an be found using trigonometry as:







Now, we will use inverse sine to find the value of angle A as:



Therefore, the measure of angle A is approximately 28 degrees.