The shortest leg of a 30-60-90 triangle is 5 inches. How long is the hypotenuse?
10 inches
10√2 inches
10√3 inches
5√2 inches

The number of possible combinations is an illustration of principle of counting

There are 15 possible pairs of possible combinations

From the question, we understand that the first digit is 6, 8 or 9.

This means that the new table would not have entries that begin with 5 or 7.

The table is then represented as:

      6       8         9

5    65     85      95

6    66     86      96

7     67     87      97

8    68     88      98

9    69     89      99

Count the number of entries

Entries = 15

Hence, there are 15 possible pairs of possible combinations

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Answer:

<JML=126 degrees, x=42

Step-by-step explanation:

well, something important to note here is that a straight line is allways equal to 180, and you have part of the 180 sitting there on the line being 54 degrees, so all you have to do is do 180-54=126 and that is the measure of <JML, to find x, you just reverse the steps you see, right now 3x=3*x so you want to reverse that and divide 126/3=42.

Angles are supplementary hence their sum is 180°

So

<JML=3x=126°

Answer:

y = -2x - 5

Step-by-step explanation:

2y = x - 3

y = 1/2x - 3/2

gradient = 1/2

perpendicular gradient = negative reciprocal = -2

y = -2x + c

(-3) = -2(-1) + c

-3 = 2 + c

-5 = c

Answer:

y = -x/2 - 7/2

Step-by-step explanation:

Equation of the line (current) in y = mx + c

The slope of a perpendicular line has to be -ve to the current line.

⇒ m' = -1/2

To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :

y - y₁ = m (x - x₁)

y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]

y + 3 = -1/2

y = -7/2

Therefore, the new equation is :

Answer:

1.26

Step-by-step explanation:

To solve 4.2*0.03, you move the decimal point to the right however many times to both numbers until they are whole numbers.

Doing this, we have 420*3, which took 3 decimal point shifts, so now we do 420*3 to get 1260, and then go 3 decimal places to the left to get the actual answer.

Thus, 4.2*0.03=1.260=1.26

Answer:

54

Step-by-step explanation:

1, 3, 5, and 7, all have the same angle size: 126 so we can use this to find 6 and 8 :)

180 - 126 =54

6 and 8 would both equal 54 :)

Have a great day!!

Please rate and mark brainliest!!

Step-by-step explanation:

so AD=DC and DC=12 so AD=12

the lines AB=BC so 3x+1=2x+6 simplify and get x=5

plug in and get BC=16

Answer:

8 meters.

Step-by-step explanation:

Let the 2 radii be x and 2x, then
π x^2 + π (2x)^2 = 80π

π x^2 + π 4x^2= 80π

x^2 + 4x^2= 80

5x^2 = 80

x^2 = 16

x = 4.

So the radius of the larger circle = 2*4 = 8 m.

Answer:

Step-by-step explanation:

Width

Length

Answer:

$3,520

Step-by-step explanation:

If each square has a side length of 1/4 in then the dimensions of the Dining Room in the blueprint are:

The scale given is 1 in : 16 ft, therefore dimensions of room scaled up:

Therefore, the area of the Dining Room = 16 × 20 = 320 ft²

Given the hardwood floor costs $11 per ft², to find the total cost of the floor for the dining room:

Total cost = area × cost per ft²

                = 320 × $11

                = $3,520

Answer:

61/112.

Step-by-step explanation:

For 5 lemon sweets to be in the bowl the 3 taken  must be from the 4 blackcurrent and/or 7 orange sweets.

First work out the probability of having a lemon in one of the 3 picks:

Prob (Taking 3  lemons) = 5/16 * 4/15* 3/14 =  60/3360 = 1/56.

Prob (Taking 2  lemons and 1 blackcurrent) = 5/16*4/15*4/14 =  1/42

There are 3 ways of doing this so Probab) = 3/42 = 1/14.

Prob (Taking 1  lemon and 2 blackcurrent) = 5/16*4/15*3/14 = 1/56.

There are 3 ways of doing this so Prob = 3/56.

Prob (Taking 2  lemons and orange) = 5/16*4/15*7/14 = 140/3360 = 1/24.

There are 3 ways of doing this so Prob) = 3/24 = 1/8.

Prob (Taking 1  lemon and 2 orange) = 5/16*7/15*6/14 =  1/16

There are 3 ways of doing this so Prob = 3/16.

Therefore the probability of have 1 or more lemons in one of the 3 picks

= 1/56 + 1/14 + 3/56 + 1/8 + 3/16

=  51/112

and the probability of NOT having a lemon in one of the 3 picks

= 1 - 51/112

=  61/112.

Answer:

4

Step-by-step explanation:

45.2 x 0.035=1.582

"Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit."  -Khan Academy. org > significant figures

Answer: 1.6 is the answer

Step-by-step explanation:

45.2 x 0.035 = 1.582
After you do that step Then you'll need to round 1.582 up in the tenths, and it should be 1.6!

Hope this helps

Answer:

=

Step-by-step explanation:

quadratic values always set to 0 due to the x-intercept which you find from the equation

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &9152\\ t=\textit{elapsed time}\dotfill &12\\ h=\textit{half-life}\dotfill &3 \end{cases} \\\\\\ A=9152\left( \frac{1}{2} \right)^{\frac{12}{3}}\implies A=9152\left( \frac{1}{2} \right)^4\implies A=572[/tex]

Have a look at the attached image.

Step-by-step explanation:

The answer is class 1!!!!!

Answer: 2m+5

Step-by-step explanation:

4−2m+4m+1

Combine −2m and 4m to get 2m.

4+2m+1

Add 4 and 1 to get 5.

5+2m

Answer: 2m + 5

Step-by-step explanation:

Just do:

So, 2m + 5

Answer:

It's a true solution.

Step-by-step explanation:

[tex]3(5) + 4 - 5 = 4(5) - 6[/tex]

[tex]15 + 4 - 5 = 20 - 6[/tex]

[tex]19 - 5 = 14[/tex]

[tex]14 = 14[/tex]

The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is  $22.15.

In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.

Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85

Change =  $85 - $62.85 = $22.15

To learn more about addition, please check: https://brainly.com/question/19628082

Answer:

31/20

Step-by-step explanation:

First we find the greatest common denominator, for 5 and 4, that is 20.

[tex]\frac{4}{5} *\frac{4}{4} +\frac{3}{4}*\frac{5}{5} = \frac{16}{20} +\frac{15}{20} = \frac{31}{20}[/tex]

Since 31/20 isn't able to be simplified because 31 is a prime number, this is your final answer.

Answer:

cosZ = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

cosZ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{37}[/tex]

5.5

Step-by-step explanation:

radius = diameter÷2

diameter = 11

so Length of Radius will be 11÷2

which will be 5.5

Answer:

B

Step-by-step explanation:

The square root of 100 is 10, and 10 is a rational number.

Answer:

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

So:

[tex]9^2+13^2=c^2[/tex]

[tex]250 = c^2[/tex]

[tex]\sqrt{250} = \sqrt{c^2}[/tex]

[tex]c = 15.8113883[/tex]

OR (rounded)

[tex]c = 15.8[/tex]

Answer:

I think its this answer I believe 0.7853982 if this is correct can u mark me brainliest

Answer:

3/$5.79 = 13/x

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable x. Divide $5.79 by three to get the cost of one marker, $1.93. Then multiply the cost of one marker by 13 on the left. This will get the total value which is $25.09.

Answer:

Due to the location of the marker, it is closest to:
C.) 10/16 = 5/8 lb.

Each pound is divided into 16ths since 10 sixths are represented by the marker then the answer would be 10/16.

10 / 16 = 5 / 8


10 divided by 2 = 5
----------------------------
16 divided by 2 = 8


Therefore 10 / 16 = 5 / 8.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

[tex]\frac{10}{16} =\frac{5}{8}[/tex]

Step-by-step explanation:

My answer is due to, it doesn't use the markers it goes by smaller numeral making me believe it uses the 16th instead of the 8th, also you can see it hits the tick mark for the bigger saying that is settled on making me think that is the answer.

To break it down why the others are not correct the [tex]\frac{4}{8}[/tex] is the mesurent saying it is half which it clearly is not half way. The other is [tex]\frac{7}{8}[/tex] butyou can see the marker is not nearly close enough for it to be almost to a pound. and the last option 1[tex]\frac{5}{8}[/tex] doesn't make sense it seems it would have to be more then a pound.

Answer:

impossible? you have only 2 coins

Answer:

I'm going to assume you mean 3 fair coins. The probably would be 1/8, so unlikely.

Step-by-step explanation:

Answer: y=6x-4

Step-by-step explanation: see attached.

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4