Not to be rude but where’s the list?
Answer:
2.5 ft
Step-by-step explanation:
The figure for the given scenario is shown below.
There are two right angled triangles, ΔACD and ΔBCD
The height of flag staff is represented by segment AB, BC is the height of pedestal stand , D is a point on the ground that makes angles 30° and 60° with the bottom and top of staff at B and A respectively.
AB = 5 ft. Let the height of pedestal stand be
ft and the distance of point D from the bottom of stand be
ft as shown in the figure.
Now, from ΔACD,

From ΔBCD,

Plug in the value of
in the first equation and solve for
.
.
Therefore, the height of the pedestal stand is 2.5 ft.
Answer: 12 in. by 10 in.
Step-by-step explanation:
Given: The dimensions of photo is 10 in. by 8 in.
Therefore, Area of photo= 
Area of frame with photo=120 square inches
Let x be the width of the frame, then we have
Length of frame with photo= 10+2x inches
Width of frame with photo =8+2x inches
Now, 
![80+16x+20x+4x^2=120\\\Rightarrow\ 4x^2+36x-40=0\\\Rightarrowx^2+9x-10=0\\\(x-1)(x+10)=0\\\Rightarrow\ x=1,...........[text{Since length can not be negative so it cannot be -10}]](https://tex.z-dn.net/?f=80%2B16x%2B20x%2B4x%5E2%3D120%5C%5C%5CRightarrow%5C%204x%5E2%2B36x-40%3D0%5C%5C%5CRightarrowx%5E2%2B9x-10%3D0%5C%5C%5C%28x-1%29%28x%2B10%29%3D0%5C%5C%5CRightarrow%5C%20x%3D1%2C...........%5Btext%7BSince%20length%20can%20not%20be%20negative%20so%20it%20cannot%20be%20-10%7D%5D)
Thus, dimension of frame = 
Answer:
obtuse angled triangle
Step-by-step explanation:
Given 3 segments , say a, b and c , with c the longest then
• If a² + b² = c² ⇒ right triangle
• If a² + b² > c² ⇒ acute triangle
• If a² + b² < c² ⇒ obtuse triangle
Here c = 17 and 17² = 289
9² + 12² = 81 + 144 = 225
Since 225 < 289 , then triangle is obtuse
Answer:
- the total value after 6 years is $134.01
- Tyler has earned $34.01 in interest
- The new balance is 1.05 times the previous balance. An exponential function can provide a suitable shortcut.
Step-by-step explanation:
The worksheet you show tells you exactly how to do the calculations and where to put the numbers. For such repetitive calculations a spreadsheet is a very useful tool.
Each new balance is the previous balance multiplied by 1.05. Repetitive multiplication is signified using an exponent. For multiplication by 1.05 six times, the multiplying factor can be 1.05^6.