Answer:
It’s 5
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
The diagram shows two similar triangles. Similar triangles have all the same angles and the sides are proportional to one another. So, by setting up a proportion of the sides, you can solve for the missing variable:
Cross-multiply: 72(14x + 5) = 156(54)
Distribute: 1008x + 360 = 8424
Subtract 360 from both sides: 1008x + 360 - 360 = 8424 - 360
Divide: 1008x/1008 = 8064/1008
Solve for x: x = 8
The list of choices you included doesn't have any correct expressions on it.
-- If the rocket went straight up, and then dropped back at the same place
it was launched from, then it must have dropped straight down.
-- The route it followed on the way down was exactly the same as the
route it followed on the way up.
-- Since it reached a maximum height of 150-ft from the ground
and the route was straight, the length of the route was 150-ft.
-- (150-ft going up) plus (150-ft coming down) = 300-ft traveled all together.
a.)
784
/ \
2 392
/ \
2 196
/ \
2 98
/ \
2 49
/ \
7 7
√784 = 7² × 2^4
= 7² × 4²
= <u>28²</u>
So, √784 = 28
b.)
2025
/ \
3 675
/ \
3 225
/ \
3 75
/ \
3 25
/ \
5 5
2025 = 5² × 3^4
= 5² × 9²
= <u>4</u><u>5</u><u>²</u>
So, √2025 = 45
c.)
9261
/ \
3 3087
/ \
3 1029
/ \
3 343
/ \
7 49
/ \
7 7
9261 = 7³ × 3³
= <u>21³</u>
So, ³√9261 = 21
d.)
46656
/ \
2 23328
/ \
2 11664
/ \
2 5832
/ \
2 2916
/ \
2 1458
/ \
2 729
/ \
3 243
/ \
3 81
/ \
3 27
/ \
3 9
/ \
3 3
46.656 = 2³ × 3³ × 2³ × 3³
= 6³ × 6³
= <u>3</u><u>6</u><u>³</u>
So, ³√46.656 = 36
<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>
64 degrees, you just divide the two numbers