90-7 =83 degrees
height = 3 miles
divide 3 by the cos of 83 degrees
3/cos(83) = 24.6165
rounded to nearest mile = 25 miles
Answer:
1
Step-by-step explanation:
Three side lengths that meet the requirements of the triangle inequality will form exactly one triangle.
_____
The triangle inequality requires the sum of the short sides be at least as long as the long side. Here, we have 3 + 4.69 = 7.69 > 7, so we satisfy the triangle inequality.
The side lengths can be arranged in clockwise or counterclockwise order, least to greatest. Each triangle is a reflection of the other, so they are considered to be the same triangle (congruent).
Answer:
Step-by-step explanation:
Try and become familiar with a program like Desmos. It will do wonderful things for you.
I have graphed
Red: y = -2x + 5 (The 5 is the y intercept. For this question it could be anything.
Blue: y = - 4x + 5 Same note as above.
Answer:
25/6 or 4 1/6
Step-by-step explanation:
1) convert these fractions to improper fractions first:
8/3+3/2
make like denominators by multiplying 8/3 by 2 and 3/2 by 3
so 8*2/3*2=16/6
3*3/2*3=9/6
16/6+9/6=25/6
Hope this helps!
Answer:
Step-by-step explanation:
1) a² - b² = (a + b)(a- b)
2) a³ + b³ = a³ + 3a²b + 3ab² + b³
3) a³ - b³ = a³ - 3a²b + 3ab² - b³
5) x⁴ - 36 = (x²)² - 6² = (x² + 6) (x² - 6)
6)64c³ + 1 = (4c)³ + 1³ = (4c)³ + 3(4c)²(1) + 3(4c)(1)³ + 1³
= 64c³ + 3(16c²) + 12c +1
= 64c³ + 48c² +12c + 1
7) k³ - 27 = k³- 3³ = (k + 3)(k - 3)
