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3 years ago

Please help!

Mathematics

2 answers:

Hatshy [7]3 years ago

5 0

9514 1404 393

Answer:

(a) x = 22

(b) 46°

(d) 180°

Step-by-step explanation:

Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.

The sum of the marked acute angles is 90°.

2x +(3x -20) = 90

5x = 110 . . . . . . . . . . add 20, collect terms

x = 22 . . . . . . . . . divide by 5

∠CBA = (3x -20)° = (3·22 -20)° = 46°

∠CAB = 2x° = 2(22)° = 44°

The sum of a triangle's interior angles is 180°.

Nimfa-mama [501]3 years ago

5 0

i dont know but you will get it one day

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Point R is the midpoint of line QS. R is located at (5, -7.5) S is located at (-1,-13) What is the location of Point Q?

Lisa [10]

Answer: ( 11, -2 )

Step-by-step explanation:

The mid point of a line is calculated using the formula:

M = ( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

From the question , the mid point is already given , substituting , we have :

(5 , - 7.5 ) = ( $\frac{x-1}{2}$ , $\frac{y-13}{2}$ )

Equating the x component to x and the y component to y , we have

5 = $\frac{x-1}{2}$

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7 0

3 years ago

226Ra has a half-life of 1599 years. How much is left after 1000 years if the initial amount was 10 g?

Ray Of Light [21]

$\bf \textit{Amount for Exponential Decay using Half-Life}\\\\
A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &10\\
t=\textit{elapsed time}\to &1000\\
h=\textit{half-life}\to &1599
\end{cases}
\\\\\\
A=10\left( \frac{1}{2} \right)^{\frac{1000}{1599}}$