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makkiz [27]
3 years ago
12

Rachel has a toy shaped like a triangular pyramid in which the base and the lateral faces are congruent equilateral triangles. T

he side lengths of the triangles are 4 inches. The height of each triangle is about 3.5 inches. Rachel wants to cover all the lateral surfaces except for the base with yellow paper.
The amount of paper required to cover the lateral surfaces is about square inches. If she wants to cover the entire pyramid with yellow paper, she would require about more square inches of paper.
Mathematics
1 answer:
astra-53 [7]3 years ago
7 0
The lateral area that Rachel needs to cover is 21 inches.
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Write an equation in point slope form for the line that passes through (-5,6) and (-3,-9).
Finger [1]

\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{6})\qquad
(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-9-6}{-3-(-5)}\implies \cfrac{-9-6}{-3+5}\implies -\cfrac{15}{2}


\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-6=-\cfrac{15}{2}[x-(-5)]\implies y-6=-\cfrac{15}{2}(x+5)
\\\\\\
y-6=-\cfrac{15}{2}x-\cfrac{75}{2}\implies y=-\cfrac{15}{2}x-\cfrac{75}{2}-6\implies y=-\cfrac{15}{2}x-\cfrac{87}{2}

8 0
3 years ago
13 ≤ 4n n = 3 <br><br> True or false ? ( show work )
yaroslaw [1]

Answer:

False

Step-by-step explanation:

13 ≤ 4n if n = 3

13 ≤ 12

Is this true?

First of all this symbol (≤) means

  1. Less than
  2. Equal to

Is 13 less than 12?

No

Is 13 equal to 12?

No

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
3 years ago
I need help with #40 ASAP…please help me this one…. Show step by step please
brilliants [131]

Answer:

22801

Step-by-step explanation:

#40

No. of terms = (301 + 1)/2

No. of terms = 302/2

No. of terms = 151

Now,

Sum = n²

Sum = (151)²

Sum = 22801

7 0
3 years ago
Read 2 more answers
Write the equation of the line that contains the points (4, −7) and (1, 5). The slope of the line that contains the points (4, −
deff fn [24]
Slope = (5+7)/(1-4) = 12/-3 = -4

slope = -4

y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9

equation
y = -4x + 9
4 0
3 years ago
Read 2 more answers
Please help!
Vladimir [108]

Answer:

About $4425.69

Step-by-step explanation:

Input the values into the equation to get: $4253(1+0.01)^4=

$4425.69(when rounding to the nearest cent)

6 0
3 years ago
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