Answer:
b 432m
Step-by-step explanation:
A triangular prism has a height of 9 meters and a triangular base with the following dimensions
What is the volume of the prism?
Answers: 420m, 432m, 288m 324m
To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).
We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment
using the pythagorean theorem we have that
![\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D6%5E2cm%5E2-3%5E2%5Coperatorname%7Bcm%7D%3D27cm%5E2%20%5C%5C%20h%3D%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B27%5Ctext%7B%20%7D%7Dcm%20%5Cend%7Bgathered%7D)
Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.
Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.
Finally we add up all the areas:
X= assistant's wage
x+15= instructor's wage
Add their wages set equal to $65
x + (x + 15)= 65
combine like terms
2x + 15= 65
subtract 15 from both sides
2x= 50
divide both sides by 2
x= $25 assistant's wage
x+15= 25 + 15= $40 instructor's wage
ANSWER: (C) $25 hourly wage of assistant
Hope this helps! :)
Distribute -3 in
-3x + 42 + 6x
3x + 42
Hope this helps!
Answer: See explanation
Step-by-step explanation:
Here is the remainder of the question:
a. Who has more money after the first additional deposit? Explain.
b. Who has more money after the second additional deposit?
a. Amount put in savings account = $300
Leroi's amount after first week = $300 + $60 = $360
Sylvia's amount after first week = $300 + (20% × $300) = $300 + (0.2 × $300) = $300 + $60 = $360
They both have equal amount after the first week.
b. After the second deposit,
Leroi's saving = $360 + $60 = $420
Sylvia's saving = $360 + (20% × $360) = $360 + $72 = $432
Sylvia has more savings after the second week
