1. You can make use of the Pythagorean theorem considering "a" to be the longer leg of the largest right triangle. Then the value of "a" can be calculated from
(16+9)² = 15² +a²
625 -225 = a²
√400 = a = 20
2. You can find the altitude of the largest triangle (the length of the unmarked vertical line), then find "a" as the hypotenuse of the medium-sized right triangle.
That altitude is ...
√(15² -9²) = √144 = 12
so the length "a" is ...
a² = 12² +16² = 144 +256 = 400
a = √400 = 20
3. Based on the 15 and 9 dimensions of the smallest right triangle, you can realize that these triangles are multiples of the 3-4-5 right triangle. Then you can use relevant ratios of the side lengths of any of the triangles of which "a" is a part.
a = 4/3×15 = 4/5×(9+16) = 5/4×16 = 20
Answer:
1.15p + 285 = 5.84
Step-by-step explanation:
This problem has two equations. Total cost and Total pounds. The cost and the pounds
p = apple pounds
b = banana pounds
<u>Cost</u>
1.90p + .75b = 5.84
<u>Pounds</u>
p + b = 3.8
<u>Now we use the substitute method for system of equations to solve</u>
p + b = 3.8
b = -p + 3.8
<u>Now that we know what b equals, substitute is for b in the cost equation.</u>
1.90p + .75b = 5.84
1.90p + .75(-p+3.8) = 5.84
<u>distribute / multiply .75 by (-p+3.8)</u>
1.90p + -.75p + 2.85 = 5.84
<u>Combine the p values</u>
1.15p + 285 = 5.84
9514 1404 393
Answer:
(b) (6, 0)
Step-by-step explanation:
You are given the value of x. Substitute that in the other equation and find the value of y.
-3x +14y = -18
We know x=6 from the second given equation, so ...
-3(6) +14y = -18
Add 18 to both sides
14y = 0
Divide by 14
y = 0
Then the solution is ...
(x, y) = (6, 0)
We know that
<span>applying the Pythagorean theorem
</span>OP²=NO²+NP²
(x+4)²=x²+20²--------> (x²+8x+16)=x²+400-------------> 8x+16=400
8x=384-----------> x=48 units
OP=x+4-------> OP=48+4--------> OP=52 units
the answer is
x=4 units
OP=52 units