Answer:
-2
Step-by-step explanation:
5n+3= -10
5n = -13
n = -13/5
= -2.6
question is integer
so answer is -2
45/75 = 30/x
30*75 = 2250/45 = 50
EF = 50 in.
Answer:
$172.5 hope this helps
Step-by-step explanation:
Answer:(7/8 - 4/5)^2 = 9
1600
= 0.005625
Step-by-step explanation:
Subtract: 7
8
- 4
5
= 7 · 5
8 · 5
- 4 · 8
5 · 8
= 35
40
- 32
40
= 35 - 32
40
= 3
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - seven eighths minus four fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = (3
40
) ^ 2 = 32
402
= 9
1600
In words - three fortieths squared = nine one-thousand six-hundredths.
Answer: x ≈ 1.59688927, −1.60312387, −4.67045686, 4.69039614, 7.872914, −7.91513776, −10.89002194
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 2*cosx*(2x+30°) + √3=0
Simplify each term.
Apply the distributive property.
- 2 cos
(
x
) (
2
x
) +
2 cos
(
x
) *
30
° +
√
3
=
0
- Multiply 2 by 2
- 4 cos
(
x
) x + 2 cos
(
x
) *30
°
+
√
3
=
0
- Multiply 30
°by 2
- 4
cos
(
x
) x + 60
cos
(
x
)
+
√
3
=
0
- Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √3
- 4xcos(x)+60cos(x)+√3=0
- Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194