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3 years ago

The diagram shows a right angled triangle.

Mathematics

1 answer:

uysha [10]3 years ago

4 0

Answer:

6 root 2

Step-by-step explanation:

Pythagous Therom

A^2 = B^2 + C^2

B^2 = C^2 - A^2

B^2 = 36 - (2 Root 3)^2

B^2 = 24

B = 2 root 6

Base x Height / 2 for area of Triangle

2 root 3 x root 24 = 12 root 2

12 root 2 / 2 = 6 root 2

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From her home, Adriana would have to walk due north to get to her friend Gavin's house and due east to get to her friend Zach's

Genrish500 [490]

Answer:

4 miles.

Step by step explanation

8 0

3 years ago

A bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks. If you choose one block and then another block without putting

Anika [276]

Answer:

The probability that the first block will be green and the second will be yellow is $\frac{1}{9}$ or 0.111.

Step-by-step explanation:

We are given that a bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks.

Also, we choose one block and then another block without putting the first one back in the bag.

Firstly, as we know that Probability of any event is given by ;

Probability of an event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

SO, Probability that the first block will be green = $\frac{\text{Number of green blocks}}{\text{Total blocks in the bag}}$

Here, Number of green blocks = 2

Total number of blocks in bag = 5 yellow + 2 green + 3 blue = 10 blocks

So, Probability that the first block will be green = $\frac{2}{10}$

Similarly, Probability that the second block will be yellow =

$\frac{\text{Number of yellow blocks}}{\text{Total number of remaining blocks in the bag}}$

Here, Number of yellow blocks = 5

Total number of remaining blocks in bag = 10 - 1 = 9 blocks {because we haven't put the block back after choosing the first}

So, Probability that the second block will be yellow = $\frac{5}{9}$

Now, Probability that the first block will be green and the second will be yellow = $\frac{2}{10} \times \frac{5}{9}$

= $\frac{1}{9}$ = 0.111

Hence, the required probability is 0.111.

8 0

3 years ago

What is 5 1/2 multiplied by 5 1/2 as a mixed number or fraction

san4es73 [151]

Answer:

see explanation

Step-by-step explanation:

The first step is to change the mixed number to an improper fraction

5 $\frac{1}{2}$ = $\frac{11}{2}$ , hence

$\frac{11}{2}$ × $\frac{11}{2}$

= $\frac{11(11)}{2(2)}$ = $\frac{121}{4}$ = 30 $\frac{1}{12}$

8 0

4 years ago

Read 2 more answers

# 46 please show your work

yanalaym [24]

Replace every n with 15 to get 15*(15-1)/2 = 15*14/2 = 15*7 = 105

Answer is choice C

8 0

3 years ago

determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2

LuckyWell [14K]

Hmmm the y-intercept is at -2? what does that mean? well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at. Let's assume a vertical parabola, in which case the squared variable is the "x".

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
y=(x-1)^2-3
\end{cases}$

6 0

4 years ago