5(a + 3b) = 5(9 + 3(2)) = 5(9 + 6) = 5(15) = 75
Answer:
$793
Step-by-step explanation:
The amount of money in an account earning simple interest is given by the formula ...
A = P(1 +rt)
where P is the principal invested at rate r for t years.
__
Using the values given in the problem statement, the account balance can be found to be ...
A = $650(1 +0.055×4) = $650×1.22 = $793
There will be $793 in the account after 4 years.
The base of its triangular face of the triangular prism is found as 17.7 cm.
<h3>What is defined as the triangular prism?</h3>
- A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism.
- It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.
The formula for the volume of triangular prism is;
Volume = base area x length
The base area of the triangular base.
The area of the triangle = 1/2 base×height
The given values are-
- volume = 2,354. 1 cubic centimeters.
- length = 19 cm
- height = 14 cm.
Thus, volume = base area x length
volume = 1/2 base × height × length
base = 2v/(height × length)
Put the values;
base = 2×2,354.1/(14 × 19)
base = 4708.2/(14 × 19)
base = 17.7 cm
Thus, the base of the triangular prism is found as 17.7 cm.
To know more about the triangular prism, here
brainly.com/question/16128664
#SPJ9
Answer: 4x² + x - 2
Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²
Now let's work on the second part:
Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals
12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:
4x² + x - 2.
Answer:
22.5 cm
Step-by-step explanation:
In the figure attached the graph of the problem can be seen.
Given the triangles are similar then the next proportion must be satisfied:
13.5/9 = 18/12 = x/15 = 1.5
Isolating x, we get:
x/15 = 1.5
x = 1.5*15
x = 22.5 cm
This isn't my work. Thanks to jbiain.
