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Umnica [9.8K]
3 years ago
5

Geometry: I need help!

Mathematics
1 answer:
Alona [7]3 years ago
8 0
Volume of triangular prism = base x height x length / 2
= 8 x 5 x 9 / 2
= 360 / 2
= 180 cubic cm
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Which of the following functions is reduced what will be the exponent on the M 27mn^3/51m^6n
Tema [17]

When you divide a base with an exponent by a base with an exponent, you subtract the exponents together. (But you can only combine exponents when the bases are the same)

For example:

\frac{x^5}{x^2} =x^{(5-2)}=x^3

\frac{x^2}{y^4}    (You can't combine them as they have different bases of x and y)

\frac{w^9}{w^7} =w^{(9-7)}=w^2

When you have a negative exponent, you move the base with the negative exponent to the other side of the fraction to make the exponent positive.

For example:

x^{-3} or \frac{x^{-3}}{1} =\frac{1}{x^3}

\frac{1}{y^{-3}} =\frac{y^3}{1} or y^3    

\frac{27mn^3}{51m^6n}      You can simplify the whole fraction or just "m" since you need to find the exponent of "m". I will simplify the whole fraction.

\frac{27}{51} *m^{(1-6)}*n^{(3-1)}

\frac{9}{17} *m^{-5}*n^2      Make all the exponents positive

\frac{9n^2}{17m^5}    So the exponent of m = 5, your answer is the 3rd option

6 0
3 years ago
Wyatt uses 3.15 cups of flour in a recipe that makes 9 shortcakes. Cora uses 2.4 cups of flour in a recipe that makes 8 shortcak
ruslelena [56]
The number of cups of flour per shortcake in Wyatt's recipe is given by

\frac{3.15}{9} =0.35

The number of cups of flour per shortcake in Cora's recipe is given by

\frac{2.4}{8} =0.3

The number of more cups of flour needed by Cora is given by 0.35 - 0.3 = 0.05 cups.
6 0
3 years ago
The points (1, 7) and (0, 2) fall on a particular line. What is its equation in slope-intercept form?
NARA [144]

Slope-intercept form is y = mx + b


So we can manage to do this:


(y - yo) = m.(x - xo)


Where (x, y) and (xo, yo) are points of this line, this way we can discover the slope.


(7 - 2) = m.(1 - 0)

5 = m

m = 5


So,


y = 5x + b


Now we still have to use (y - yo) = m.(x - xo), but this time we will put only 1 point and the slope.


(y - yo) = m.(x - xo)

(y - 2) = 5.(x - 0)

y - 2 = 5x

y = 5x + 2


So, this is the line in slope-intercept form.

4 0
3 years ago
Help please just the answer needed
otez555 [7]

Answer:

6a+12b+18c

Step-by-step explanation:

3 0
3 years ago
What is the answer <br> (x³)^4
Fofino [41]

Answer:

the answer is x^12

Step-by-step explanation:

multiply 3 by 4 and you get 12

8 0
3 years ago
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