Answer:
70 degrees
Step-by-step explanation:
When two angles are supplementary, their measures must add up to 180 degrees. Therefore:
110+x=180
x=180-110
x=70
Hope this helps!
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
Answer:
There were 40 people total at the party and we assume each had cake of one type.
So, the % of those who had chocolate is:
32/40 = .8 = 80%
Step-by-step explanation:
No! If this☝ is the chart that is being represented, you simply need to look for where D matches up to F, and where C matches up to S. As you can see, the values are not the same. (Additional info: he wants to interview 1000 people, and already asked ten classmates. Just multiply each value by 100 to see what the predicted amounts will be)
I hope this was correct... good luck!
There is no "greatest" possible perimeter.
There's a smallest possible perimeter. That's a square.
Since the area is 6 square centimeters, each side of the square is
√6 = about 2.45 cm, and the perimeter is about 9.8 cm (rounded).
But there's no 'greatest' perimeter. You can take that square
and if you're careful, you can make it into rectangles that all have
the same area ... 6 square cm ... but the longer and skinnier
you make it, the greater the perimeter will be.
You can give me a number as big as you want, and I can make
a rectangle with a perimeter of your number, but an area of only
6 square centimeters !
Here are some few examples. They all have
the same area, but different perimeters:
2.45 cm by 2.45 cm ... Area = 6 square cm ... Perimeter = 9.8 cm
2 cm by 3 cm ... Area = 6 square cm ... Perimeter = 10 cm
1.5 cm by 4 cm ... Area = 6 square cm ... Perimeter = 11 cm
1.2 cm by 5 cm ... Area = 6 square cm ... Perimeter = 12.4 cm
1 cm by 6 cm ... Area = 6 square cm ... Perimeter = 14 cm
0.8 cm by 7.5 cm ... Area = 6 square cm ... Perimeter = 16.6 cm
0.6 cm by 10 cm ... Area = 6 square cm ... Perimeter = 21.2 cm
0.5 cm by 12 cm ... Area = 6 square cm ... Perimeter = 25 cm
0.4 cm by 15 cm ... Area = 6 square cm ... Perimeter = 30.8 cm
0.3 cm by 20 cm ... Area = 6 square cm ... Perimeter = 40.6 cm
0.2 cm by 30 cm ... Area = 6 square cm ... Perimeter = 60.4 cm
0.1 cm by 60 cm ... Area = 6 square cm ... Perimeter = 120.2 cm
0.001cm by 6,000cm ... Area = 6 square cm ... Perimeter = 12,000.2 cm
