Answer:
z =15cm and
y=9.0cm
Step-by-step explanation:
Use sine rule
12/ sin53 = z / sin 90
Z = 12 x sin 90 / sin 53
Z = 15cm
To find y the angle opposite to y will be 180-(90+53)=37º
So
15/sin 90= y/sin37
y= 15 x sin37 /sin 90
y = 9.0cm
<h2><em><u>Answ</u></em><em><u>er</u></em><em><u>:</u></em><em><u>-</u></em></h2>
★ Input of the given function F(x) is 5.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
<h3>• <u>Given</u><u>:</u><u>-</u></h3>
✯ F(x) = 7x - 9
✯ Output = 26
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
<h3>• <u>Solution</u><u>:</u><u>-</u></h3>
According to the question the output is 26.
Hence, the above data can be written in an equation form.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ F(x) = 7x - 9 = 26
➪ 7x = 26 + 9
➪ 7x = 35
➪ 
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, F(x) = 5
Answer:
cubic meter of clay will be used to create all the pyramids
Step-by-step explanation:
The remaining part of the question is given in the attached file
Solution
The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.
For Rectangular Pyramid,
Volume of three rectangular pyramids

Substituting the given values in above equation, we get -
cubic centimeter
For triangular Pyramid,
Volume of two triangular pyramids

cubic centimeter
Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid
Cubic centimeter
4a^3b^5 - 16a^5b^2 + 12a^2b^3 =
4a^2b^2 (ab^3 - 4a^3 + 3b) <==