Answer:
547 m
Step-by-step explanation:
Given :
Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 63.7167 = d / 270
d = 270 * Tan 63.7167
d = 546.70459
d, distance of Park bench from building is 547 m
4x = (130 - 2x) so x = 65/3
(3y + 40) + (130 -2x) = 180 because the angles are supplementary
plug in x
3y + 40 + 130 - 2(65/3) = 180
so 3y = 95/3
therefore y = 95/6
9514 1404 393
Answer:
20 = 2 + (7 -4) × 6
Step-by-step explanation:
The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.
If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.
We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).
Our final expression is chosen to be ...
20 = 2 +(7 -4)×6
Answer:
This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.
Explnation:
z = (x - mu)/sd
z = (2625 - 2600)/50 = 25/50 = 0.5.
Consulting the z-table, P(z <= 0.5) = 0.6915.
P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.
I hope this helped! <3
Answer:
200
the ratio is 1:2 i thought about how i could get a solution then i realized i could split the 600 in too three parts to match the ratios different aspects and walla i got 200
