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Charra [1.4K]
2 years ago
9

Are the acute interior angles of a right triangle always complementary

Mathematics
1 answer:
Levart [38]2 years ago
5 0
All the interior angles always sum up to 180. It doesn’t matter if they are all acute angles.
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For every 1/150 square mile Xavier mows, Bao mows 1/120 square mile. How many square miles does Xavier mow for every 1 square mi
AlexFokin [52]
I am assuming that it is C. 5/4
8 0
2 years ago
1. Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1,
zzz [600]

Answer:


Step-by-step explanation:

Given that Miguel is playing a game

The box contains 4 chips, 2 with number 1, and other two differntly numbered as 3 and 5.

OUt of these 4, 2 chips are drawn

P(drawing same number) = 2C2/4C2 =\frac{1}{6}

Prob (drawing differnt numbers) = 1-1/6 =\frac{5}{6}

Hence prob of winning 2 dollars = \frac{1}{6}

Prob of losing 1 dollar = \frac{5}{6}

b) Expected value = sum of prob x amount won

= \frac{1}{6}2+\frac{5}{6}(-1)=-\frac{1}{2}

c) Miguel can expect to lose 1/2 dollars for every game he plays

d) If it is to be a fair game expected value =0

i.e. let the amount assigned be s

Then \frac{1}{6}s-\frac{5}{6}=0\\s=5

6 0
2 years ago
Read 2 more answers
The first three terms of a geometric sequence are shown below. x+3,-2x2-6x,4x3+12x2,.... What is the eighth term of the sequence
nika2105 [10]
So hmm is a geometric sequence, meaning, the next term is found by multiplying it by "something", namely the "common ratio"

now, if the next term is the product of the common ratio and the previous term, that means, if we divide the previous term by the next term, the quotient will then be the "common ratio", let's do that then

let's divide the 2nd term by the 1st term then

\bf \cfrac{-2x^2-6x}{x+3}\implies \cfrac{-2x\underline{(x+3)}}{\underline{(x+3)}}\implies \boxed{-2x}\impliedby \textit{common ratio}\\\\
-----------------------------\\\\

\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{value of first term}\\
r=\textit{common ratio}\\
----------\\
a_1=x+3\\
n=8\\
r=-2x
\end{cases}
\\\\\\
a_8=(x+3)(-2x)^{8-1}\implies a_8=(x+3)(-2x)^7
\\\\\\
a_8=(x+3)(-2^7x^7)\implies a_8=(x+3)(-128x^7)
\\\\\\
a_8=-128x^8-384x^7
8 0
2 years ago
Read 2 more answers
The volume of water in a tank is modeled by the function y = 1.15x3 – 0.1x2 + 2 where x is the number of minutes after the fauce
baherus [9]

Answer:

2

Step-by-step explanation:

in this context the y intercept represents the volume of water already in the tank

8 0
2 years ago
Read 2 more answers
Renee, Susan, and Martha will share the cost to rent a vacation house for a week. ​Renee will pay 40% of the cost. Susan will pa
notsponge [240]

Answer:

Martha is incorrect.

Amount paid by Renee = \$340

Amount paid by Susan = $297.5

Amount paid by Martha = \$212.5

Step-by-step explanation:

Given: ​Renee will pay 40% of the cost. Susan will pay 0.35 of the cost.Martha will pay the remainder of the cost. Martha thinks she will pay 13 of the cost.

To find: Is Martha correct?

To find: amount paid by each of Renee, Susan, and Martha

Solution:

Percentage of an amount paid by Renee = 40%

Percentage of an amount paid by Susan = 35%

So,

Percentage of an amount paid by Martha = 100-40-35=25\%

But Martha thinks she will pay 13 of the cost. So, she is incorrect.

Amount paid by Renee = \frac{40}{100}(850)=\$340

Amount paid by Susan = \frac{35}{100}(850)=\$297.5

Amount paid by Martha = \frac{25}{100}(850)=\$212.5

5 0
2 years ago
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