Answer:
P = 30 degrees, PQ = 6.93, PN = 8
Step-by-step explanation:
For the angle, just subtract the angles you already know from 180, so 180 - 90 - 60= P. P = 30 degrees.
For PQ, use tan60 = x/4, or 4tan(60), which equals 6.93.
For PN, use cos60 = 4/x, or 4/cos60, which equals 8.
Hopefully this helps- let me know if you have any questions!
Answer:
B. 1,900
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
Answer:
x = 17
Step-by-step explanation:
First, let's turn this into an equation:
twenty more ( +20 ) than four times a number ( 4x ) is equal ( = ) to the difference ( - ) between 139 and 3 times the number ( 3x ).
4x + 20 = 139 - 3x
Now let's solve:
Subtract 20 from each side:
4x = 119 - 3x
Add 3x to each side:
7x = 119
Divide each side by 7:
x = 17
Do (7x3)=21x7=147 so that’s how you do it hope it helps
