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3 years ago

Who knows this answer because nobody does at my school PLEASE HELP.

Mathematics

1 answer:

brilliants [131]3 years ago

6 0

Answer:

288

Step-by-step explanation:

Use the equation [(6/2)as] to find the area of the base. Then use [ 3as + 3sl ] to find the surface area. Add them up since they both equal 144 to get 288.

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Help please!!!! if <1 <3 which conclusion can be made?

netineya [11]

Answer:

B. c // d

Step-by-step explanation:

When ∠1 = ∠3, it means that they are corresponding angles and for that to be true, there must be a pair of parallel lines and one line to cut across both of the lines. Thus, we can conclude that c and d are the parallel lines and a is the line that cut across both of them, creating the corresponding angles.

8 0

3 years ago

Simplify the expression 4x+3(5y−x)

Ipatiy [6.2K]

4x+3(5y-x)
Start by multiplying out the brackets
4x+15y-3x
Collect like terms
4x-3x+15y
Subtract the x's
X+15y
Hope this helps!

5 0

3 years ago

Read 2 more answers

What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324?

olganol [36]

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
a_n=324
\end{cases}
\implies 
324=4(3)^{n-1}
\\\\\\
\cfrac{324}{4}=3^{n-1}\implies 81=3^{n-1}\implies 3^4=3^{n-1}\implies 4=n-1
\\\\\\
\boxed{5=n}\\\\$

$\bf -------------------------------\\\\
\qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
n=5
\end{cases}
\\\\\\
S_5=4\left( \cfrac{1-3^5}{1-3} \right)\implies S_5=4\left(\cfrac{1-243}{-2} \right)$

and surely you know how much that is.

8 0

3 years ago

Follow the process of completing the square to solve x2 - 10x + 8 = 0. How will the left side of the equation factor in step 5?

jasenka [17]

Answer:

$x=5(+/-)\sqrt{17}$

Step-by-step explanation:

we have

$x^{2}-10x+8=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}-10x=-8$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}-10x+5^{2}=-8+5^{2}$

$x^{2}-10x+25=-8+25$

$x^{2}-10x+25=17$

Rewrite as perfect squares

$(x-5)^{2}=17$

Take square root both sides

$(x-5)=(+/-)\sqrt{17}$

Adds 5 both sides

$x=5(+/-)\sqrt{17}$

8 0

3 years ago

The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000

mel-nik [20]

Answer:

0.018 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 60,000 miles

Standard Deviation, σ = 1500 miles

We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(brand will last between 56,850 miles and 57,300 miles)

$P(56850 \leq x \leq 57300) = P(\displaystyle\frac{56850 - 60000}{1500} \leq z \leq \displaystyle\frac{57300-60000}{1500}) = P(-2.1 \leq z \leq -1.8)\\\\= P(z \leq -1.8) - P(z < -2.1)\\= 0.0359 - 0.0179 = 0.018= 1.8\%$

$P(56850 \leq x \leq 57300) = 1.8\%$

0.018 is the probability a certain tire of this brand will last between 56,850 miles and 57,300 miles.

7 0

3 years ago