Answer:
6.13
Step-by-step explanation:
This diagram shown is a right triangle;
USing the SOH CAH TOA idenity
Adjacent = x
Hypotenuse = 8
Angle of elevation = 40 degrees
cos theta = adj/hyp
cos 40 = x/8
x = 8cos40
x = 6.13
Hence the value of x to the nearest hundredth is 6.13
Answer:
70 students
Step-by-step explanation:
As, 30% Mike surveyed
And these 30% are 21 students
So 30% of X = 21
= 30/100 x X = 21
= 30X = 2100
So X = 2100/30
X = 70
So 70 students were surveyed
Answer:
All A to D
Step-by-step explanation:
The attachment completes the question
From the attachment,
- it can be seen that QRS and TUV are of the same i.e. triangles
Also, from the attachment, the sides of each are:
And the angles are:
The above show that QRS and TUV are:
- similar
- same sides
- and they are congruent
12.5mg left at 6pm
Step-by-step explanation:
500mg x 15% = 75mg/hr
Taken at 8am and by 2pm that's 6/hrs 7 x 75mg/hr = 450mg
By 2pm only 50mg are left
Taken at 8am, by 6pm that's 10/hrs
With 50mg left and 4hrs to go
50mg ÷ 4 = 12.5mg
Corresponding sides on either side of ED are proprotional, so
(x+2)/112 = 62/99.2
x +2 = 112*62/99.2 = 70
x = 68 feet
