Answer:
A clockwise rotation.
Step-by-step explanation:
The rule for 90 degree clockwise rotation is (x,y) turns into (y,-x) therefore if you use your numbers (2,-6) and then use the 90 degree clockwise rotation rule it becomes (-6,-2)
Answer:
There are 232 students at the school.
Step-by-step explanation:
Let s represent the number of students at the school. We are told ...
174 = 75% × s
174/0.75 = s = 232 . . . . . divide by the coefficient of s
There are 232 students at the school.
You multiply the numerators (top numbers) and separately multiply the (bottom numbers) denominators.
numerator (top number): 2 * 1 = 2
denominator (bottom number): 3 * 4 = 12
Now, we have 2/12 which can be simplified to 1/6.
<h2>1/6</h2>
Answer:
49
Step-by-step explanation:
angle QPR and angle TPS are alternate angles and their measure is equal to each other:
3x + 1 = 148 subtract 1 from both sides
3x = 147 divide both sides by 3
x = 49
Answer:
147.5 km and 64.4 km
Step-by-step explanation:
a=120 km
b=70 km
β=28 degrees (
∘)
b^2=(a^2)+(c^2)−2ac*cosβ
70^2
=(120^2
)+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )
(c^2
) −211.907c+9500=0
note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use
p=1;q=−211.907;r=9500
D=(q^2
) −4pr=(211.907^2
)−4⋅1⋅9500=6904.75561996
D>0
=
(−q± 
)/2p=(211.91±
)/2
=105.95371114±41.5474295834
(
−147.501140726)(
−64.4062815596)=0
=147.501140726
=64.4062815596
