Step-by-step answer:
The first step in solving a problem of geometry and trigonometry is to draw a diagram, with all the given information in it. The attached image does just that.
Here, we have (horizontal) distance of building to the tower is 400'.
We see two right triangles, each with a leg of 400' (horizontal).
The vertical distances are denoted h1 and h2 for the angles of elevation 24 and 20 degrees respectively.
Using the definition of tangent, we have
h1= 400tan24=178.1
h2=400tan20=145.6
The height of the tower is therefore h1+h2=178.1+145.6=323.7 feet
Answer: price of the watch before the discount is £23.5825
Step-by-step explanation:
Let x represent the original price of the watch.
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55. This price includes 15% loyalty discount. The value of the discount is
15/100 × 53.55 = 8.0325
This means that the original cost of both items is
53.55 + 8.0325 = 61.5825
Before the discounts, the trainers were priced at £38. Therefore,
38 + x = 61.5825
x = 61.5825 - 38
x = 23.5825
9514 1404 393
Answer:
C. y is 6 less than x
Step-by-step explanation:
It is not hard to check.
A. 6 times x is 6×8 = 48, not 2
B. 6 times y is 6×2 = 12, not 8
C. 6 less than 8 is 2; 6 less than 9 is 3
D. 6 more than 8 is 14, not 2
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The relation described in C matches the table.
We are given a concave spherical mirror with the following dimensions:
Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm
First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation:
Assume f = 10 cm
1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i
d i = 15 cm
Then, calculate for h i:
h i / h o = - d i / d o
h i / 6 = - 15 / 30
h i = - 3 cm
Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted".
Answer:
Step-by-step explanation:
1.
(-2,0) (0,-7) y2-y1
-----------------
x2-x1
-7-0= -7
0- (-2)= 2 ------>>> -7/2 =m or slope
2.
y= -7/2x+b to find b u plug in one pair of coordinates for example (-2,0)
and use inverse properties to find b
0 = -7/2(-2) + b
14/2 = 7
0= 7+b
-7 -7
-----------
-7=b
3.
y=-7/2x-7
