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2 years ago

I need to know how the solve the answers below

Mathematics

1 answer:

FrozenT [24]2 years ago

7 0

S is given as 58 degrees.

There are 180 degrees in a triangle. Using this you know that S + T + TUS = 180

T is given as 5x + 10

TUS can be defined as TUS + AUT = 180, or TUS = 180 - AUT

AUT is given as 11x + 2

Plug everything into the first equation to give you 58 + (5x + 10) + (180 - (11x + 2)) = 180

Solve for x, and be careful with the negative in front of (11x+2)

58 + 10 + 180 - 2 + 5x - 11x = 180

-6x = -66
x = 11

Plug x back into the equations for AUT and T to get your final answers.

AUT = 11(11) + 2 = 123 degrees
S = 58 degrees
T = 5(11) + 10 = 65 degrees
TUS = 180 - AUT = 180 - 123 = 57 degrees

You can check your answer by making sure
S + T + TUS = 180, which it does.

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Question 6

Firdavs [7]

So hmmmmm, notice... the boat went up in 3hrs, came back to the starting point in 2hrs, it went up 108km, it came back, well, from 108km to distance 0, so the distance on the way back is just the same 108km

now... let's say the stream has a speed rate of "r", and the boat has a still water speed rate of "b"

bear in mind that, when the boat is going UP, is not really going "b" fast, because the stream's "r" rate is going against it, and thus subtracting "r" from "b", so is really going " b - r " fast

when the boat is going down, is not going "b" fast either, because, again the stream's rate "r" is adding to it, because is going with the current, so is really going " b + r " fast

now, recall your d =rt, distance = rate * time

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&108&b-r&3\\
downstream&108&b+r&2
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
108=3(b-r)\implies \frac{108}{3}=b-r\\
\qquad 36=b-r\implies 36+r=\boxed{b}\\\\
108=2(b+r)\implies 54=b+r\\
\qquad 54=\boxed{36+r}+r
\end{cases}$

solve for "r"

what's b? well, 36+ r = b

7 0

3 years ago

A will states that 5/6 of an estate is to be divided among relatives of the remaining a state 1/3 goes to the American cancer so

Naddik [55]

Answer:

1/18

Step-by-step explanation:

5/6 of an estate is to be divided among relatives

Let the total estate = 1

Remaining estate = 1 - 5/6

= 6-5/6

= 1/6 of the estate

Of the remaining a state 1/3 goes to the American cancer society

what fraction of the estate goes to the American Cancer Society

= 1/3 × 1/6

= 1/18

The fraction of the estate that goes to the American Cancer Society = 1/18

8 0

3 years ago

Rose bought a new hat when she was in vacation. If the hat cost $975 and the sales tax was 6%, how much did rose pay for the hat

Rufina [12.5K]

Hi!

To solve this, set up a proportion and cross multiply.

$\frac{x}{975} \frac{6}{100}$

975 x 6 = 5850

5850/100 = 58.5

58.5 + 975 = 1033.5

The answer is $1033.5

Hope this helps! :)

-Peredhel

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Square root of -25 Show the value of this number in a+bi form

maxonik [38]

Square Root of -25 = 5i

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qaws [65]

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Step-by-step explanation:

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