Answer:
Step-by-step explanation:
4.0 | <u> 4.50 </u> | -0.3(4.0) + 6.71 = <u>5.51</u> | 4.50 - 5.51 = <u>-1.01</u>
5.9 | <u> 5.50 </u> | -0.3(5.9) + 6.71 = <u>4.94</u> | 5.50 - 4.94 = <u>0.56</u>
Answer:
34.48cm²
Step-by-step explanation:
Assuming the shaded area doesn't contain the triangle:
area of triangle = bh/2
area of triangle = 4(2)/2
area = 4
area of circle = πr²
area = π3.5²
area = 38.48
area of shaded = 38.48 - 4
area = 34.48cm²
Answer:
x = 14
y = 14
z= 14
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14
using either Pythagorean Theorem or special right triangle properties for 30-60-90.
As We can see that point J is on (-2,5) and L is on (-2,-2)
So we know that distance cannot be in negative, thus
Distance between J and L =5+2=7 units
JL=7
Answer:

Step-by-step explanation:
Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:

And the cost of 6 soft drinks can be represented with this expression:

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:
<em>[Equation 1]</em>
The following expression represents the the cost of 3 soft drinks:

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
<em> [Equation 2]</em>
Therefore, the <em>Equation 1 </em>and the <em>Equation 2 </em>can be used to determine the price of a hamburger and the price of a soft drink