Hello! A triangle has angles that sum up to 180°. So first off, let's solve for the angle of the other triangle. 83 + 31 gives us 114. 180 - 114 is 66. So the angle for the first triangle is 66°. The opposite angle would be the same. Finding the measurement of the other triangle gives us the measurement of x, because the angles are the same. So x = 66°.
Answer:
- drink cost: $1.75
- slice of pizza cost: $2.25
Step-by-step explanation:
Let d and p represent the costs of a drink and a pizza slice, respectively. The two orders have a value ...
d + 3p = 8.50
2d + 2p = 8.00
Subtracting the second equation from twice the first gives ...
2(d +3p) -(2d +2p) = 2(8.50) -(8.00)
4p = 9.00 . . . . . simplify
p = 2.25 . . . . . . divide by 4
Solving the first equation for d and putting in the value, we have
d = 8.50 -3p = 8.50 -3·2.25 = 8.50 -6.75
d = 1.75
The cost of a drink is $1.75; the cost of a pizza slice is $2.25.
Answer:
653.84 lbs.
Step-by-step explanation:
To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.
The x component of the 300 lb force is 300cos(60)=150 lbs.
The y component of the 300 lb force is 300sin(60)=
lbs.
The x component of the total force is the sum of the x components of the two forces.
Fx=150+450=600
Fy=259.81
The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.
F=Sqrt(Fx^2+Fy^2)=Sqrt(360000+67501.24)=Sqrt(427501)=653.84 lbs.
Answer:This is so confusing
Step-by-step explanation:
1) Formula: area = height * base / 2
2) Call x the height:
height = x
base = 2x
3) State the equation:
(x)(2x) = 49 in^2
4) Solve the equation:
2x^2 = 49 in^s
x^2 = (49/2) in^2
x = √(49/2) in
x = 7√2 / 2 in = 3.5 √2 in
5) Solution:
height = 3.5 √2 in and base = 7√2 in
6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2
Answer: height = 3.5√2 in and base = 7√2 in.
