Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,




Divide both sides by 3.


The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:



Therefore, the measures of two acute angles are 26° and 64° respectively.
Answer:
False
Step-by-step explanation:
1+8=9
9+10=19
1y+8y=9y
9y+10y=19y
19y=20y
The equations dont match.
Hence, the equation is false.
Answer: D. $3,450
Given: 2,500 shares of a stock bought for $8 a share
<span>Probabilities: the stock will rise to a value of $32 a share is 22%</span> <span> the stock will fall to $3 a share is 78%</span>
<span>Question: What is the expected value of the investor’s profit from buying the stock?</span>
Solution: (22%(32-8)-78%(8-3))2500
(.22(24)-.78(5))2500
(5.28-3.9)2500
(1.38)2500
3450
4.83 x 10^-3 can be re-written in standard form by moving the decimal point 3 units to the left: 0.00483.
Note: If you want to be mathematically correct, please write 10^(-3), not 10^-3. If the exponent is +, you don't need the parentheses.
We know that,
Volume of sphere = 4/3πr³
72 = 4/3 × 22/7 × r³
72 × 21/88 = r³
³√17.18 = r
2.58 cm = r
:)