Answer:
11.183 cm and 22.366 cm
Step-by-step explanation:
Lets call the 25 cm hypotenuse C and the other sides A and B.
B=2A
The Pythagorean theorem states that C^2=A^2+B^2 so:
25^2=A^2+B^2
substitute for B
25^2=A^2+(2A)^2
625=A^2+4A^2
625=5A^2
125=A^2
A=11.183 cm
B=22.366 cm
For problem 1, it will be 25/100, which is equal to 25%
2) The relationship is that both, the bar model and the proportion, show that x is 1/4 of the actual amount. The bar graph is more a visual. However, in both cases, the x can be solved for to be 25%
3) The percent error for 23°C will be less since it is closer to 25°C, the actual amount. The percent error is greater for 5°C since it is farther for 25°C.
Answer: f(x)= 2x -3
Step-by-step explanation:
Using the given information we can come up with two points that will be use to find the slope and y-intercept.
If you input 0 you get -3 so the point will be (0,-3)
If you input 7 you get 11 so the point will be (7,11)
Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.
y coordinates: -3 - 11 = -14
x coordinates: 0 - 7 = -7
-14/-7 = 2
Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.
Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.
-3= 2(0) +b
-3 = 0 + b
b = -3
f(x) is the same as y in the formula, meaning that the equation will be
f(x) = 2x -3
Answer:
30 SQUARE units
Step-by-step explanation:
Since the problem only includes two dimensions, we solve for area, not volume. Area=width*height, or 3*10=30. Because we're solving for area the answer is 30 square units.
