77.5d + .14m
m = 425
.14 * 425 = 59.5
77.5d + 59.5 ≤ 230
77.5d ≤ 170.5
d ≤ 170.5/77.5
d ≤ 2.2
if they only take payment for whole days, he has 2 whole days
The standard form of the equation of a circle of radius r, with (assuming centre h, k) is given as:
(X-h)^2 + (y-k)^2 = r^2
As we are required to write an equation in standard form for the circle with radius 9 centred at the origin.
Centre(h,k)=(0,0), r=9
Substituting these values into the standard form of the equation of a circle given above:
(X-0)^2 + (y-0)^2 = 9^2
X^2 + y^2 =81
The standard form is x^2 + y^2 =81
I’m pretty sure this is right
Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−3(m+8)=−3m−24
(−3)(m)+(−3)(8)=−3m+−24(Distribute)
−3m+−24=−3m+−24
−3m−24=−3m−24
Step 2: Add 3m to both sides.
−3m−24+3m=−3m−24+3m
−24=−24
Step 3: Add 24 to both sides.
−24+24=−24+24
0=0
Answer:
All real numbers are solutions.
Answer:
<em>The height of the tree is 19.81 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios
</u>
The ratios between the sides of a right triangle are called trigonometric ratios.
If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.
This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.
The trigonometric ratio that relates both legs is the tangent:
Solving for X
Using a calculator:
X = 19.81 m
The height of the tree is 19.81 m