Answer:
When you see a formula like this, try to operate, so you will see some identities sooner or later. In this case, we have a substraction identity:
\frac{cos ( \alpha - \beta )}{cos \alpha cos \beta } = \frac{cos \alpha cos \beta + sin \alpha sin \beta }{cos \alpha cos \beta } = 1 + tan α · tan β
Step-by-step explanation:
Answer
Algae to(-->) Mayfly nymph, Mayfly nymph to Dragonfly nymph and Trout, Dragonfly nymph also to Trout, Trout to Osprey.
please give me brainliest.
Answer:
45 square inches
Step-by-step explanation:
Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom
Total surface = surface area of the base square + area of 4 triangles
Calculate the surface area of the base square
surface area of the square = s^2
where s= side length
s=3 in
The surface area of the base =s^2
=3^2
= 9 square inches
The surface area of the side triangles
The area of the triangle = (1/2)* side length* slant height
Side length=3 in
Slant height=6 in
substituting the values,
The area of the triangle =1/2*3*6
= 18/2
= 9 square inches
There are 4 triangles
The area of 4 triangles = 4 x 9
= 36 square inches
Therefore,
Total surface = surface area of the base square + area of 4 triangles
= 9 + 36
= 45 square inches
Answer:
Multiply the rate per hour by the number of hours (n) and add the deposit.
A)
Bike shop x: c = 2.75n + 3.00
Bike shop z: c = 1.75n + 7.00
B) to find when they will cost the same set the equations equal to each other and solve for n:
2.75n + 3.00 = 1.75n + 7.00
Subtract 3 from each side:
2.75n = 1.75n + 4.00
Subtract 1.75n from both sides:
1.00n = 4.00
Divide both sides by 1:
n = 4 hours
Answer:
X = 80°
Step-by-step explanation:
it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18
this means the two bottom angles are the same so the other would also be 50°
Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle