To solve for the longest side, the hypotenuse, you have to use the pythagorean theorem. It will be 10^2 + 9^2 = c^2. 100 + 81 =c^2.
c^2 = 181 so c = sqrt(181).
to find sin of A do opposite/hypotenuse which gives you 9/sqrt(181)
to find cos of A do adjacent/hypotenuse which gives you 10/sqrt(181)
Answer:
48 girls
Step-by-step explanation:
Divide 42 by 7 and then multiply the answer by 8. So 42/7 is 6 and 6 multiplied by 8 is 48 so if there are 42 boys there are 48 girls.
Graph 2 should be right because it moves up 1 because of the +1 that is in the parentheses.
Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.
y2= 5
y1= 1
x2 = 4
x1 = 2
Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.
Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)
The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.
Answer:
x = 7
Step-by-step explanation:
Distribute the 2 on the right and the -1 on the left: 13 - 2x - 2 = 2x + 4 + 3x
Combine like terms on each side of the equation: 11 - 2x = 5x + 4
Add 2x to both sides, and subtract 4 from each side: 7 = 7x
Divide both sides by 7: x = 7
