Trigonometric ratios & finding missing sides

Answer:

10√3

Step-by-step explanation:

First we do the prime factorisation of 300:

2²×3×5²

Now we put this into our surd:

[tex]\sqrt{(2^{2})(3)(5^{2}) }[/tex]

Now we split them up:

[tex]\sqrt{2^{2} } \sqrt{3} \sqrt{5^{2} }[/tex]

Now we apply the radical rule of [tex]\sqrt{a^{2} } = a[/tex] if a ≥ 0, for 2 then 5

√2² = 2
√5² = 5

2√3 ×5

Simplify to get

10√3

But the correct usage is that 1:2 means a ratio of 1 to 2, meaning 1 part of something and 2 parts of something else (not out of 2 parts total) ...

Answer:

the correct usage is that 1:2 means a ratio of 1 to 2, meaning 1 part of something and 2 parts of something else (not out of 2 parts total)

Step-by-step explanation:

Answer:

8a + 9b and 16a - 10b

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

B and C are not functions because some inputs have multiple outputs

Answer:

C. right angle

Step-by-step explanation:

I will upload an image of a right angle that perfectly fits the question:

The angles that measure 90° are called right angles, so the correct option is C.

A 90° angle is the one we get when two perpendicular lines intersect (we actually get four of these).

And are the same ones that we can see on squares or rectangles, where the connecting sides are perpendicular between them.

The name of that type of angle, as one could imagine, is Right Angle (for the nature of the intersection that conforms them). So the correct option is C.

If you want to learn more about right angles, you can read:

https://brainly.com/question/17972372

Answer:

$165 is the total cost of the first year of Keecia’s gym membership

Step-by-step explanation:

formula for direct proportion : y = kx

x = 50

y = 75

50 = k * 75

k = 75/50

k = 3/2x

substitute y = 60

60 = 3/2x

x = 3/2 * 60

x = 90

$90 + $75 = $165

Answer:

[tex]\huge\boxed{\boxed{\bf\:4r + 11}}[/tex]

Step-by-step explanation:

Given,

We need to find the value of 2C - D. To solve this, we need to substitute the values of C & D in the expression.  So,

[tex]\tt\:2\:C - D\\\\\sf\:{Substitute \: the \: given \: values}\\\\\tt\:= 2(r + 7) - (-2r + 3)\\\\\sf\:Now, \: follow \: the \: distributive \:property\\\\\tt\:= 2r + 14 + 2r - 3\\\\\sf\:Rearrange\:the\:terms\\\\\tt\:= 2r + 2r + 14 - 3\\\\\sf\:Do \: the \: required \:arithmetic \: operations\\\\=\boxed{ \bf\:4r + 11}[/tex]

[tex]\rule{200}{2}[/tex]

[tex]\rule{200}{2}[/tex]

Hope this helps!

The expression that equals 2C - D is 4r+ 11

The expressions are given as:

C=r+7 and D=-2r+3

The expression 2C - D is calculated as follows:

2C - D = 2 * (r + 7)  - (-2r + 3)

Expand

2C - D = 2r + 14  +2r - 3

Collect like terms

2C - D = 2r +2r+ 14   - 3

Evaluate the like terms

2C - D = 4r+ 11

Hence, the expression that equals 2C - D is 4r+ 11

Read more about expressions at:

https://brainly.com/question/4344214

Answer:

70.65cm

Step-by-step explanation:

i believe i have done this before

Answer:

OA) 14

Step-by-step explanation:

2((7+1)-1)

2(8-1)

You could expand the brackets then simplify or just simplify now. It will be better to simplify now though but I will do both methods.

Simplifying first:

2(7) = 2 × 7 = 14

Our answer is 14 So answer is OA) 14

Expanding first then simplifying:

2(8-1) = 16-2 = 14

Our answer is 14 So answer is OA) 14

Answer:

14

Step-by-step explanation:

Substitute the values into the equation.

2((a +b) - b)

2((7 + 1) -1)

You can use Distribute first or Solve the parenthesis first it will still give the same answer.

Distributive method.

2((7 + 2) -2)

=((14 + 2) -2)

= 16 -2

=14

Or solve the parenthesis first.

2((7 + 1) -1)

=2(8 -1)

=2(7)

=14

The solution of 0.0973 when rounded to 1 significant figure is 0.1.

Rounding off numbers means adjusting a number simpler by adjusting it to its nearest place according to certain rules.

In rounding off number, the place value starts from tens place.

Rounding to the nearest whole number: Look at the digit immediately to the right of the decimal point. If it is 5 or greater, round the number up. If it is less than 5, round the number down. For example, rounding 3.25 to the nearest whole number gives 3, while rounding 3.75 gives 4.

When 0.0973 is rounded to 1 significant figure, the digit at the hundredth place is observed.

Since the digit at the hundredth place is greater, than 5. So, the number is rounded up which results to 0.1

Thus, the round off of 0.0973 to 1 significant figure is 0.1

Learn more about rounding off numbers here:

https://brainly.com/question/13391706

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Answer:

0-25=1

25-50=3

50-75=4

Step-by-step explanation:

To create a histogram, we need to group the data into intervals or bins and count the number of data points that fall into each bin. We can then plot the counts as bars on a graph.

A histogram is a graphical representation of the distribution of a dataset. It consists of a set of contiguous rectangles, where the width of each rectangle represents a range of the values, and the height of each rectangle represents the frequency or count of the number of data points that fall within that range.

One way to choose the bin size is to divide the range of the data (the difference between the maximum and minimum values) by the desired number of bins. For this example, we'll choose a bin size of 10 and create bins from 20 to 70.

Using this bin size, we can group the data into the following bins:

20-29: 2

30-39: 0

40-49: 3

50-59: 3

60-69: 1

To create the histogram, we can plot these counts as bars on a graph, with the bins on the x-axis and the counts on the y-axis.

The histogram shows that the most common diagonal length for televisions at Electronic Emporium is between 40 and 59 centimeters, with fewer televisions having diagonal lengths outside of this range.

Learn more about histogram at:

https://brainly.com/question/30354484

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Answer:

66

Step-by-step explanation:

Since it's a 90 degree angle.

90-24=66

Answer:

∠ L = 66°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

∠ L + 24° + 90° = 180° , that is

∠ L + 114° = 180° ( subtract 114° from both sides )

∠ L = 66°

46 to the nearest integer is 50

The answer is 46 because 46 can’t be rounded up nor down so it stays the same :P hope this help please give brainleist and rating

Answer:

2.4 meters

Step-by-step explanation:

Take f(x) = 0 to find lateral distance covered.

0 = 25x² - 120 + 144

=> (5x - 12)²

=> x = 12/5

=> x = 2.4 meters

So f(x) is 0

[tex]\\ \rm\hookrightarrow 25x^2-120x+144=0[/tex]

[tex]\\ \rm\hookrightarrow (5x)^2-2(5x)(12)+12^2=0[/tex]

[tex]\\ \rm\hookrightarrow (5x-12)^2=0[/tex]

[tex]\\ \rm\hookrightarrow 5x-12=0[/tex]

[tex]\\ \rm\hookrightarrow 5x=12[/tex]

[tex]\\ \rm\hookrightarrow x=12/5[/tex]

[tex]\\ \rm\hookrightarrow x=2.4m[/tex]

Answer:

Evaluate the exponent

Multiply the numbers

Add the numbers

Evaluate the square root

Add zero

Multiply the numbers

h=\frac{\pm 16}{2}

Step-by-step explanation:

Answer:

[tex]8^2=64[/tex]

Step-by-step explanation:

Given the following question:

[tex]h^2=64[/tex]

Remember when dealing with exponents we have to multiply the number given by itself, as many times as the exponent.

In this case we have...
[tex]h^2=64[/tex]
[tex]h=8[/tex]
[tex]h^2=8^2=8\times8[/tex]
[tex]8\times8=64[/tex]

If the exponent was three you would multiply the 8 by itself, 3 times.

[tex]8^3=8\times8\times8[/tex]
[tex]8\times8=64\times8=512[/tex]
[tex]8^3=512[/tex]

Hope this helps.

Answer:

[tex]21{x}^{7} {y}^{11} [/tex]

third option

Step-by-step explanation:

please mark as the brainliest answer

Answer:

21x^7y^11

Step-by-step explanation:

(7 • x^2 • y^3) (3 • x^5 • y^8)

use distributive property

(7 • 3) (x^2 • x^5) (y^3 • y^8)

(21)(x^7)(y^11)

Answer:

D

Step-by-step explanation:

If the parabola has an x-intercept of -1, we are looking for the curve to intercept the x-axis at x = -1

Graphs A and D both have x-intercepts at x = -1

If the parabola has a y-intercept of -3, we are looking for the curve to intercept the y-axis at y = -3

The only graph with a y-intercept at y = -3 is Graph D

FYI the minimum of Graph D is at (1, -4)

Answer:

basically cut all the edges off and turn them into a square or a rhombus

Step-by-step explanation:

Answer:i couldn’t do all of them but i did what i could:)

Step-by-step explanation: hope this helps!!

Answer:

D, it is a way or dying cells can be replaced

Step-by-step explanation:

Answer:

d is it

Step-by-step explanation:

Answer:

6.435

Step-by-step explanation:

To convert from grams to kilograms, you divide the grams by 1000.

So 6435 divided by 1000 is 6.435

Answer

168.75

Step-by-step explanation:

I took the test on k12 trust me

Answer:

2 - 3x. I hope this helps!!!

Answer:

0.08

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

and if its not too much to ask could you mark me as brainliest pls, im trying to rank up by the end of the month and i only need 2 more, if not it ok! ty and tell me if theres anything else you need help with!!

0.08

if 8% is just 8, and not 80, the it goes in the hundredths place. if it's 80%, it goes in the tens place. like 0.8

Make sense? good

Answer:

The multiplier for 3 inches to get to 24 is 8.

If you multiply 3 x 8 to get 24, you need to multiply 4 ft x 8 to keep proportion and this will give you 32ft.

You add the marbles together for the denominator.

So 60 marbles altogether. 12/60. This simplifies down to 1/5. Hope this helps.

Answer:

183.43x2

Step-by-step explanation:

Area of the entire frame = (14x)2 = 196x2

Area of the mirror = pi(2x)2 = 4x2(pi)

Area of the frame surrounding the mirror = (196 - 4pi)x2 = 183.43x2

Answer:

A

Step-by-step explanation:

Am going with a because it says 1,500 per month right for x months and y should be a 1000  because he requires a one time deposited .

Hope this helped

Answer:

x = 13

Step-by-step explanation:

The angle of a straight line = 180

180-74=106

(8x+2)=106

106-2=104

8x=104

104/8=13

x=13