Answer:
41.7feet
Step-by-step explanation:
From the question we are given the following
angle of depression = 50°
Distance of the pole from the base of the feet = 35feet (Adjacent)
Required
height of the school (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 50 = H/35
H = 35tan 50
H = 35(1.1918)
H = 41.7feet
Hence the height of the school is 41.7feet
Answer: The total volume of the the cubes in the tower is 792 cubic centimetres (792 cm³)
Step-by-step explanation: We shall call the volume of the cube at the bottom VB, the volume of the cube at the middle VM, and the volume of the cube at the top VT. The tower is made up of cubes at different levels and at the bottom the cube measures 8 centimetres. The cube at the middle measures 2 cm less than the bottom cube, hence middle cube equals 8 minus 2 which equals 6 cm. The top cube measures 2 cm less than the middle cube, hence the top cube equals 6 minus 2 which equals 4 cm. The volume of each cube is given as;
Volume = L³
The length of a cube measures the same on all sides, that is, length, width and height. The length on all sides therefore of the bottom cube is 8 cm. The volume equals;
VB = 8³
VB = 512 cm³
The length on all sides of the middle cube is 6 cm (measures 2 cm shorter than the bottom cube). The volume of the middle cube equals;
VM = L³
VM = 6³
VM = 216 cm³
The length on all sides of the top cube is 4 cm (measures 2 cm shorter than the middle cube). The volume of the top cube equals;
VT = L³
VT = 4³
VT = 64
From the calculations shown, the total volume of the cubes in the tower is given as;
Total volume = VB + VM + VT
Total volume = 512 + 216 + 64
Total volume = 792 cm³
Total volume is 792 cubic centimetres.
7x - 1 + 6x - 1 = 180
add the x’s, add the numbers
13x - 2 = 180
add 2 to 180
13x = 182
divide 182 by 13
x = 14
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, add 45 TO 45
The footage of the room with a rental price of $1500 is 709 square foot
<h3>
Linear equation</h3>
A linear equation is given by:
where m is the rate of change, b is the initial value of y, y, x are variables.
Let y represent the monthly rental price and x represent the square footage. Given the equation:
y = 0.7752x + 950.25
For a rent of $1500:
1500 = 0.7752x + 950.25
The footage of the room with a rental price of $1500 is 709 square foot
Find out more on linear equation at: brainly.com/question/13763238
