Answer: See explanation
Step-by-step explanation:
a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
Speed = Distance / Time
= 112 / 1 45/60
= 112 / 1 3/4
= 112 × 4/7
= 64 miles per hour.
TRUE
b . If 6 pens cost $7.74, then 7 pens cost $9.03.
Cost of one pen = $7.74/6 = $1.29
Cost of 7 pens = $1.29 × 7 = $9.03
TRUE
c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
Speed = Distance / Time
Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes
FALSE
d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
Cost of one can = $38.59 / 17 = $2.27
Cost of 3 cans = $2.27 × 3 = $6.81
TRUE
e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
A dozen = 12
2 dozens = 12 × 2 = 24
Cost of one egg = $8.40 / 24 = 0.35 = 35 cents
FALSE
Answer:
rotational symmetry of 60 degrees around the origin - yes
rotational symmetry of 120 degrees around the origin - yes
Step-by-step explanation:
A regular hexagon has 6 congruent angles
the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.
The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6
Here is a visual from basic-matematics
Answer:
The answer to your question is below
Step-by-step explanation:
Number 9.
To find x use the law of sines
sin x / 8 = sin 95 / 12
Solve for sin x
sin x = 8 sin 95 / 12
sin x = 0.664
x = 41.6°
Number 10
To find x use law of cosines
x² = 6² + 8² - 2(6)(8)cos100
x² = 36 + 64 - 96(-0.174)
x² = 100 + 16.67
x² = 116.67
x = 10.80
Answer:
x = 15
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ KLM is an external angle of the triangle, thus
∠ KLM = ∠ JKL + ∠ KJL , substitute values
5x - 7 = x + 20 + 2x + 3
5x - 7 = 3x + 23 ( subtract 3x from both sides )
2x - 7 = 23 ( add 7 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
Answer:
D) 3 X 10⁷
Step-by-step explanation:
<u>Estimated days:</u>
- Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days
- 1 day = 24 hours = 24*60 minutes = 24*60*60 seconds =
- 548 days = 548 * 86400 seconds =
Best estimate is D) 3 X 10⁷
