Answer:
d is 8.4 units
m∠E is 40.3°
Step-by-step explanation:
Let us use the cosine rule to find the side d and then use the sine rule to find the measure of angle E
- Cosine rule is d² = e² + f² - 2(e)(f)(cos D)
- Sine rule is
In Δ DEF
∵ EF is represented by d
∵ DF = 6 units and is represented by e
∴ e = 6
∵ DE = 9 units and is represented by f
∴ f = 9
∵ m∠D = 65°
- Substitute the values of e, f and m∠D in the cosine rule above
∴ d² = (6)² + (9)² - 2(6)(9)(cos 65°)
∴ d² = 71.35722773
- Take √ for both sides
∴ d = 8.447320743
- Round it to the nearest tenth
∴ d = 8.4 units
Now let us use the sine rule to find m∠E
∵
- By using cross multiplication
∴ 8.4 × sin(E) = 6 × sin(65)
∴ 8.4 sin(E) = 6 sin(65)
- Divide both sides by 8.4
∴ sin(E) = 0.647362705
- Use to find m∠E
∴ E = (0.647362705)
∴ m∠E = 40.34305
- Round it to the nearest tenth
∴ m∠E = 40.3°
Answer:
The slope is 2.2
Step-by-step explanation:
Since the point goes through (0,0) the slope is given by
m =y/x
4.4 / 2
2.2
Answer:
The linear equation 6x + 8y = 72 is written in standard form.
Step-by-step explanation:
Standard form is .
- The answer is not D, because the equation given is not in slope intercept form. We can also take out A, and C too, because it is not close to that form.
- The answer is B, because the equation matches the standard form formula: , where A=6, B=8, and C=72
Im no expert but i think its
input: x,independent variable ,domain
output: y, dependent variable , range
extra: f(x) , discrete, and slope