write your answer in simplest radical form​

Write Your Answer In Simplest Radical Form

Answers

Answer 1

Answer:

q = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{2\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2q = 2[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

q = [tex]\sqrt{2}[/tex]


Related Questions

what is the union of these two sets? E={-1,0,4,5,6,7} G={-2,-1,1,2,3,8}

Answers

Answer:

U={-2,-1,0,1,2,3,4,5,6,7,8}

Factor the following expressions completely. Show and check all work on your own paper.
x^2+169

Answers

Is not factorable over real numbers, but if you want to use imaginary numbers then it would be (x+13i) (x-13i)

Answer with rational numbers: Not Factorable


Answer with imaginary numbers: (x-13i)(x+13i)

Suppose 1 in 5 (1/5) JWU students own their own car. If four students are randomly selected, what is the probability that all four own their car?

Answers

Answer:

1/625 = 0.0016

Step-by-step explanation:

update, oh sorry, this is about 4 picks and not 5.

so, it is 1/5⁴ = 1/625 = 0.0016

1 in 5 own their own car.

that is 20% or a chance of 1/5 = 0.2 of picking a student owning a car.

let's assume that the total number of students is large enough that each pick does not change the individual probabilities.

each event (picking a student and checking the ownership of a car) is independent and non-overlapping.

so, the probability that all 5 own a car is the chance of picking the 5th student owning a car AND all 4 previous student picks owning a car.

the probability that all 4 previous picks own a car is the chance of picking the fourth student owning a car AND all 3 previous student picks owning a car.

the probability that all 3 previous picks own a car is the chance of picking the third student owning a car AND all 2 previous student picks owning a car.

the probability that all 2 previous picks own a car is the chance of picking the second student owning a car AND the previous student pick owning a car.

the probability that the first student pick owns a car is 1/5 or 0.2

so, we have a clean

1/5×1/5×1/5×1/5×1/5 = 1/5⁵ probability = 1/3125 = 0.00032

find the missing side round to the nearest tenth brainly

Answers

Answer:

Sin43 = x/13

x= 13* sin43

x= 8.865

Answer:

8.9

Step-by-step explanation:

using sine rule

[tex] \frac{x}{sin \: 43} = \frac{13}{sin \: 90} [/tex]

cross multiply

x sin 90=13 sin 43

x=13 sin 43

x=8.9

need help on this math problem​

Answers

Answer:

[tex]-5, 18, \sqrt{13}[/tex]

Step-by-step explanation:

We can solve the first equation, f of -3. The value of the function f is [tex]\frac{1+x^2}{x+1}[/tex], and plugging in -3 gets us [tex]\frac{1+9}{1-3}[/tex], this results in 10 divided by negative 2, which is negative 5.

Now, we must solve g of negative one third. The function g is defined as [tex]|9x-15|[/tex]. Plugging in negative one third into the question gets us [tex]|9(-\frac{1}{3})-15|[/tex]

9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.

Now, we must solve h of negative 2, and h is defined as [tex]\sqrt{-3-8x}[/tex]. Plugging in negative 2, we have [tex]\sqrt{-3-8(-2)}[/tex]. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13

Does the graph represent a function and if so, why?


A) Yes, there is more than one ordered pair in this list.
B) Yes, no two sets of ordered pairs occupy the same location.
C) No, some of the ordered pairs in this list have the same second element.
D) No, some of the ordered pair in this graph have the same first element.

Answers

Answer:

D

Step-by-step explanation:

if you draw any vertical line through a function it should have a max of one intersection point so if the graph, reading from left to right doubles back on itself, it is not a function

Hi! I'd appreciate it if you could help me on this question. The question I need help with is question 42. Thank you If you could help me!!

Answers

9514 1404 393

Answer:

  19 hours

Step-by-step explanation:

Add up the numbers:

  3×3.5 +2×2.0 +4.5 = 19

Jacob trains 19 hours per week.

Simplify 4(a + 1) + 5(a + 2).

Answers

Answer: [tex]9a+14[/tex]

Step-by-step explanation:

Simplify: [tex]4(a+1)+5(a+2)[/tex]

Step 1. Distribute 4 into a and 1. By distributing you would get 4a and 4.

[tex]4*a=4a. \\4*1=4[/tex]

Step 2. Plug 4a+4 back into the remaining equation, which can be viewed below:

[tex]4a+4+5(a+2)[/tex]

Step 3. Distribute, [tex]5(a+2)[/tex] again. Same principle as what you did previously. You should get 5a and 10.

[tex]5*a=5a.\\5*2=10.[/tex]

Step 4. Plug 5a+10 back into the leftover equation, which is as follows.

[tex]4a+4+5a+10[/tex]

Step 5. Combine like terms. Which is broken down below,

[tex]4a+5a=9a.\\4+10=14.[/tex]

Once you're done combining like terms, you'll get the simplified answer which is: [tex]9a+14[/tex]

Answer:

9a +14

Step-by-step explanation:

4(a + 1) + 5(a + 2)

Distribute

4a+4  +5a+10

Combine like terms

4a+5a  +4+10

9a +14

What is the standard deviation?

8, 10, 12,14,16,18,20

PLEASE show work

Answers

Answer:

4

Step-by-step explanation:

The given data is :

8, 10, 12,14,16,18,20

We need to find the standard deviation. Here,

Count = 7

Sum, Σx: 98

Mean, μ: 14

The standard deviation is given by :

[tex]\sigma=\sqrt{\dfrac{1}{N}\Sigma(x_i-\mu)^2}[/tex]

or

[tex]\sigma^2=\dfrac{1}{N}\Sigma(x_i-\mu)^2\\\\=\dfrac{(8-14)^2+...+(20-14)^2}{7}\\\\=\dfrac{112}{7}\\\\\sigma^2=16\\\\\sigma=4[/tex]

So, the standard deviation of the given data is 4.

A farmer weighs a dozen chicken eggs. The heaviest egg is 56 g. ​

Answers

Step-by-step explanation:

hi

what is your question?

Step-by-step explanation:

please tell full questions

what is the slope and point

Answers

Answer:

Step-by-step explanation:

Salaries of entry-level computer engineers have Normal distribution with unknown mean and variance. Three randomly selected computer engineers have following salaries (in $1000s): 70, 80, 90. The average and the standard deviation of the data in the sample are 80 and 10. Using hypothesis testing, determine if this sample provides a sufficient evidence, at a 10% level of significance, that the average salary of all entry-level computer engineers is different from $60,000.
a. Null hypothesis.
b. alternative hypothesis.
c. test statistic.
d. acceptance region.

Answers

Answer:

H0 : μ = 60000

H1 : μ ≠ 60000

Test statistic = 3.464

Step-by-step explanation:

Given :

Sample mean salary, xbar = 80000

Sample standard deviation, s = 10000

Population mean salary , μ = 60000

Sample size, n = 3

Hypothesis :

H0 : μ = 60000

H1 : μ ≠ 60000

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (80000 - 60000) ÷ (10000/√(3))

T = 20000 / 5773.5026

T = 3.464

The Decison region :

If Tstatistic >Tcritical

Tcritical at 10%, df = 2 ; two - tailed = 2.9199

Tstatistic > Tcritical ; He

SOMEONE PLEASE HELP ME!!!!!!!!

Answers

9514 1404 393

Answer:

  PQ = 46

Step-by-step explanation:

Midsegment ST is half the length of base segment PQ.

  2×ST = PQ

  2×(5x -22) = 3x +19

  10x -44 = 3x +19 . . . . . . . eliminate parentheses

  7x = 63 . . . . . . . . . . . . add 44-3x

  x = 9 . . . . . . . . . . . . divide by 7

PQ = 3x +19 = 3×9 +19

PQ = 46

Graph the inequality in the coordinate plane. y<6

Answers

Answer:

Simpler equations and inequalities as such could be typed into an online graphing calculator such as Desmos! Remember this because you'll need it for future harder math classes :)

Step-by-step explanation:

proving lines parallel!!! please help

Answers

Answer:

B.

Step-by-step explanation:

Since C and A are parallel

and B is perpendicular to C

then B is also perpendicular to A

meaning they have the same angle so 90 Degrees.

Please help 20 points. I will give Brainly to who ever get it right.

Answers

The range is the an interval on the y-axis where the function is defined.

You can see that your function is y-wise going all the way down to negative infinity but then stops and continues the path along 2 on the upper bound.

The inequality describing the interval is thusly B,

[tex]-\infty\lt y\lt2[/tex]

Hope this helps :)

true or false?
please help me out

Answers

Answer:

true

Step-by-step explanation:

the incenter of a triangle is the common intersection of the angle bisectors.hence always remains inside the triangle.

It’s always true there is no way for an incenter of a triangle to lie outside the triangle

Ngày 31/01/2021 theo biên bản kiểm kê vật liệu số 202101001: Trị giá vật liệu A trên sở kế toán: 20.000.000 đồng, theo số liệu thực tế: 18.000.000 đồng, giá trị vật liệu thiếu chưa rõ nguyên nhân

Answers

Answer:

Maaf saya tidak paham

jadikan jawaban tercerdas, terimakasih

Answer:

nợ tk 1381: 2 triệu / có tk 152: 2 triệu

A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. Determine how long it will take her to save enough money to buy the car ?

Answers

Answer:

17 days

Step-by-step explanation:

as you see, 4=2^2

and 8=2^3

so we have a number sequence:

2+2^2+2^3+...+2^n=260000 (1)

multiply (1) by 2 we have:

2^2+2^4 +...+2^(n+1)=520000 (2)

(2) minus (1) we have:

2^(n+1)-2=260000

2^n*2=260002

2^n=130001

and we have 2^17=131072 >130001

so it will take her at least 17 days to buy the car

It will take her about 17 days to buy the car worth 260000 cents

If a student decides she wants to save money to buy a used car that cost $2600 (260,000 cents)

If she saves 2 cents the first day and doubles the amount thereafter, the sequence of savings will be:

2, 4, 8...

This sequence is geometric in nature

In order to determine how long it will take her to save 260,000, we will use the sum of a GP formula expressed as:

[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]

Given the folowing

a = 2

r = 4/2 = 8/4 = 2

Sn = 260,000

Substitute into the formula the given parameters

[tex]260000= \frac{2(2^n-1)}{2-1}\\260000/2=2^n-1\\130000 = 2^n - 1\\2^n = 130000 + 1\\2^n = 130001\\nlog 2=log130001\\n = \frac{log130001}{log2} \\n \approx 17[/tex]

This shows that it will take her about 17 days to buy the car worth 260000 cents

Learn more here: https://brainly.com/question/20548958

What type of line is PQ?
A. median
B. altitude
C. angle bisector
D. side bisector
I need help with this question to pass a test

Answers

Answer:

Option C, angle bisector

Answered by GAUTHMATH

please help me

find x​

Answers

9514 1404 393

Answer:

  x = 6√2

Step-by-step explanation:

The side ratios in an isosceles right triangle are ...

  1 : 1 : √2

These will be the same as ...

  x : x : 12

so, ...

  x = 12/√2

  x = 6√2

During a 1966 Tabiona High School track meet, Levere ran the 100 yard dash in
10.63 seconds. Ross took second with a time of 10.98 seconds.
a. Levere’s time was _______% shorter than Ross’.
b. Ross’ time was _______% longer than Levere’s.
c. Levere’s time was _______% of Ross’.

Answers

Answer:

a) 3.19

b) 3.29

c) 96.81

Step-by-step explanation:

Question a:

Levere's: 10.63s

Ross: 10.98s

10.98 - 10.63 = 0.35s shorter than 10.98s, so:

0.35*100%/10.98 = 3.19% shorter.

Question b:

35s longer than 10.63s, so:

0.35*100%/10.63 = 3.29% longer.

Question c:

3.19% shorter, so 100 - 3.19 = 96.81% of Ross.

0.108 ÷ 0.09

Please help in less then 3 mins

Answers

just use the calculator

Which type of correlation does the scatter plot show?

A) No correlation

B) Positive correlation

C) Negative correlation

D) Can't be determined

Answers

Answer: B, Positive Correlation

Step-by-step explanation:

Every point after the first point increases. Therefore, we have a positive correlation. If it was a negative correlation, every point after the first would be decreasing.

What error, if any, did Noah make?

Answers

Answer:

breathing, jk buddy

Step-by-step explanation:

When multiplying by 10 how many spaces do you move the decimal point

Answers

Answer:

If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left.

Step-by-step explanation:

Multiplying a decimal by 10 increases the value of each digit by 10. Multiplying a decimal by a power of 10 increases the value of each digit by a number of times that is equivalent to that power of 10. When a digit's value is changed, that digit is moved to the appropriate place.

John borrowed a certain amount of money from Tebogo at a simple interest rate of 8,7% per year. After five years John owes Tebogo R10 000.Calculate how much money John initially borrowed​

Answers

Calculation of the princ ipal loan amount:-

Amount = Principal (1 + Rate X Time).

R1000,000 = P (1 + 0.087 X 5).

R1, 000,000 = P (1 + 0.435).

Principal loan
=
R
1000
,
000
1.435
=
1.435
R1000,000



Principal loan = R696,864.11.

Hoa mua 2 con gà . Lan mua 4 con gà. Hỏi cả 2 bạn mua bao nhiêu con gà

Answers

Answer: 6 con ga

Step-by-step explanation:

So ga ca 2 ban mua la:

2+4=6 (con ga)

Solve the inequality is it a,b,c,d?

Answers

Answer:

B

Step-by-step explanation:

-2/3x<31/3

x>-31/2

x>-15 1/2

Answer:

x > - 15 1/2

Step-by-step explanation:

-2/3 x -10 < 1/3

Multiply each side by 3

3(-2/3 x -10 < 1/3)

-2x -30 < 1

Add 30 to each side

-2x-30+30 <1+30

-2x < 31

Divide by -2 remembering to flip the inequality

-2x/-2 > 31/-2

x > -31/2

x > - 15 1/2

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its solution set.​

Answers

Answer:

2x^2 - 9x -1 = 0

Solution: x = 9 ±√89/4

2x^2 -9x +6 = 0

Solution: 9 ± √33/4

Step-by-step explanation:

Given the equation;2x^2 - 9x -1 = 0

From the quadratic formula;

-b ±√ b^2 -4ac/2a

We have;

x= -(-9) ± √(-9)^2 - -4(2)(-1)/2(2)

x = 9 ±√89/4

Also;

Given the equation: 2x^2 -9x +6 = 0

From the quadratic formula: -b ±√ b^2 -4ac/2a

We have;

x= -(-9) ± √(-9)^2 - 4(2)(6)/2(2)

x= 9 ± √33/4

1.) 2x^2-9x+6 2.)  2x^2-8x+5 3.) 2x^2-9x-1   4.) 2x^2-8x-3

Step-by-step explanation:

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