Answer:
The width of the prism is 2 cm
Step-by-step explanation:
The given parameters are;
The volume of the prism = 170 cm³
The length of the prism = 5 cm
The height of the prism = 17 cm
The volume of the prism is given by the relationship v = Length, l × Height, h × Width, w
Therefore;
The volume of the prism = 5 cm × 17 cm × w = 170 cm³
Which gives;
w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm
∴ The width of the prism = 2 cm.
Answer:
It is 
(12 × 4) = 24
Step-by-step explanation:
(base × height) = area of triangle
(12 × 4) = area
area = 24
<span>x^2 - 4x - 12 = 0
factors
(x - 6)(x + 2) = 0
</span>Set (x - 6) and (x + 2)<span> equal to </span><span>0</span><span> and solve for </span><span>xx</span>.<span>
x - 6 = 0; x = 6
x + 2 = 0; x = -2
answer
x = -2 or x = 6</span>
Answer:
6^-1
Step-by-step explanation:
6^-6 - (-5) = 6^(-6 + 5) = 6^(-1)
A lot of things are going on in this question. Notice how the 5 is handled. It starts off in the denominator as - 5 and when brought to the numerator it becomes -(-5) which makes it + 5.
The answer is then easy. It is 6^(-6 + 5) = 6^-1
You could give the answer as 1/6 but that is not what the question says.
Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.
