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Applying the 30-60-90 Theorem, Solve this.​

Step-by-step explanation:

practical range = 8

vertical line test = 5

range = 3

domain = 2

relation = 1

function = 4

function Notation =6

practical domain=7

Step-by-step explanation:

(3x-2) =13/7x9/8

3x =117/56+2

3x = 117+112/56

x =229/56x3

x= 229/168

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Answer:

x=229/168

Step-by-step explanation:

[tex]\frac{8(3x-2)}{9} =\frac{13}{7}\\or, 56(3x-2) =117\\Or,168x-112=117\\Or, 168x=229\\Or, x=\frac{229}{168} \\[/tex]

Answer:

[tex]gross \ pay = 4200\\\\federal \ deduction = \frac{16.05}{100} \times 4200 = 674.10\\\\Net \ pay = 4200 - 674.10 -321.30= 3204.60[/tex]

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Explanation:

Let's name the friends A, B, C

If person A is first, then B or C could be second and third.

So we have ABC or ACB as two possible outcomes.

If B is first, then either A is second or C is second. Meaning we have BAC or BCA.

If C is first, then we have CAB or CBA

Overall here are the 6 different ways to have the runners finish

Note how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.

We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".

Another example of a factorial is:

5! = 5*4*3*2*1 = 120

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

x = 1500 /  12

  =  125

Answer:

0.47 (Yes - This is a terminating decimal)

0.16666... (Yes - This is a repeating decimal)

0.5473... (No - This is a decimal that neither terminates nor repeates)

0.462 (Yes - This is a terminating decimal)

Step-by-step explanation:

A terminating decimal and a repeating decimal are both types of decimals that can be written as fractions. However, if the decimal is neither of these types, it cannot be written as a fraction.

Answer:

Cases will increase to 850 in half day

Step-by-step explanation:

Given

The number of reported cases increase from 60 to 75 in seven days (week)

rate of increase of cases = 75-60/7 = 15/7

Now, as per the exponential growth equation

[tex]P = P_0 * e^{r*t}[/tex]

Substituting the given values we get

[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]

Taking log on both sides we get

15/7 * t = 1.15

t = 1.15 *7/15

t = 0.537 days = half day

Answer:

I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen

Answer:

I'mnot really sure if it might be correct but I believe it's 12.2 :))

Answer:

(2) angle EZD = angle AZB (vertically opposite angles)

angle EZD = 90 degree

(3) angle DXC = 180 - 143 (Linear Pair axioms)

                   = 37 degree

Hope u understand

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The measure <EZD = 90°

The measure <DXC = 37°

I hope you understand....

This is a Right answer....

Answer:

if what

Step-by-step explanation:

if we dare or if we must

Answer:

If what?

Step-by-step explanokation:

So, I don't understand what the question is here. Please elaborate.

Answer:

A might be right

hope this is helpful

The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ  is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.

A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.

Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.

Thus, the correct statement for the square has been shown above.

Learn more about square here:
https://brainly.com/question/1658516
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Answer:  #2; 25.13274,  #3; 167.55161

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the distance formula, d = (x2 - x1)2 + (y2 - y1)2 we can find that each side is 5 units and there are 6 sides. The perimeter is 5×6 = 30 units.

Answer:

Step-by-step explanation:

hope it helps

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4 / 2 = 10 / m

2 = 10 / m

m = 10 / 2

m = 5

Answer:

5

Step-by-step explanation:

The ratios are equal to each other

Answer:

[tex]H_B=169.2m[/tex]

Step-by-step explanation:

From the question we are told that:

Average height of blocks [tex]H_{ABC}=145.6[/tex]

Height of block A [tex]H_A=128.7[/tex]

Height of block C [tex]H_C=138.9[/tex]

Generally the equation for Height of block C is mathematically given by

Since

[tex]H_{ABC}=\frac{H_A+H_B+H_C}{3}[/tex]

Therefore

[tex]H_B=(H_{ABC}*3)-(H_A+H_B)[/tex]

[tex]H_B=(145.6*3)-(128.7+138.9)[/tex]

[tex]H_B=169.2m[/tex]

Step-by-step explanation:

Area is 2D, and Volume is 3D

volume is L x W x H

area is L x W which has already been given to you so you just need to use the height given to you

38.28 x 11

a) The probability of selecting a blue marble is P ( B ) = 1/4

b) The probability of selecting a green marble is P ( G ) = 1/6

c) The probability of selecting not a green marble is P' ( G ) = 5/6

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of blue marbles = 3

Let the number of red marbles = 6

Let the number of green marbles = 2

Let the number of black marbles = 1

So , the total number of marbles = 12

So , the probability is given as

The probability of selecting a blue marble is P ( B ) = 1/4

The probability of selecting a green marble is P ( G ) = 1/6

The probability of selecting not a green marble is P' ( G ) = 5/6

Hence , the probability is solved

To learn more about probability click :

https://brainly.com/question/17089724

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The complete question is attached below :

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.

Answer: She needs 130 of string .

Step-by-step explanation:

Given: Length of each ballon string = 6 feet

Total number of ballons = 65

Total string required = ( Length of each ballon string) x (Total number of ballons)

= 6 x 65

= 390 feet

Since 1 foot = [tex]\frac 13[/tex] yard

So, [tex]390\ feet = 390\times\frac13\ yards[/tex]

= 130 yards

Hence, She needs 130 of string .

Answer:

The vertex of g(x) is (-4, -2)

Step-by-step explanation:

Let's define general translations:

Vertical translation:

For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:

g(x) = f(x) + N

such that:

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

Horizontal translation:

Similar than before, for a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

Where, if N is positive, the translation is to the left

If N is negative, the translation is to the right.

Here, we have the transformation:

g(x) = f(x - 2) - 5

This is a transformation that moves the whole graph of f(x):

2 units to the right

5 units downwards.

So, if a point like (x, y) was in the graph of f(x)

After the translation, that point will be (x + 2, y - 5)

Then, if the original vertex was (-6, 3), the new vertex will be:

(-6 + 2, 3 - 5)

(-4, -2)

The vertex of g(x) is (-4, -2)

Answer:

89

Step-by-step explanation:

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The value of the car at the start of 2017 will be £ 4116

Given :

Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.

He spends a total of $94.94.

Solution :

Let, cost of each shirt is $ x.

It is given that there are 5 shirt and each cost the same.

Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .

So,

[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]

Therefore, the cost of each shirt that Liam buys is $12.99 .

Answer:

Exponential growth. Hope it helps.