Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)

Given:

The compound inequality is:

[tex]2<x+5<7[/tex]

To find:

The integer solutions that satisfy the given inequality.

Solution:

We have,

[tex]2<x+5<7[/tex]

Subtracting 5 from each side, we get

[tex]2-5<x+5-5<7-5[/tex]

[tex]-3<x<2[/tex]

All the real numbers between -3 and 2 are in the solution set but -3 and 2 are not included in the solution set.

The integers between -3 and 2 are -2, -1, 0, 1.

Therefore, the integer solution of the given inequality are -2, -1, 0, 1. The answer as an inequality is [tex]-3<x<2[/tex].

Answer:

x = 3.4

Step-by-step explanation:

You have the value of xoz = 70, yoz = 37 and xoy = 5x+16

Set your formula up as

xoz = yoz + xoy

70 = 37 + 5x + 16

70 - 37 - 16 = 5x

17 = 5x

17 / 5 = x

3.4 = x

[tex]\huge\bold{Given :}[/tex]

m∠XOZ = 70°

m∠YOZ = 37°

m∠XOY = ( 5x + 16 )°

[tex]\huge\bold{To\:find :}[/tex]

The value of x°.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\red{The\:value\:of\: x° \:is\:3.4° .\:}}}}[/tex]✅

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{m∠XOZ\:=\:m∠YOZ\:+\:m∠XOY}[/tex]

➪ 70° = 37° + 5x° + 16°

➪ 5x° + 53° = 70°

➪ 5x° = 70° - 53°

➪ 5x° = 17°

➪ x° = [tex] \frac{17° }{5} [/tex]

➪ x° = 3.4°

[tex]\sf\red{Therefore, \:the\: value \:of \:x°\: is \:3.4°.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

✒ 70° = 37° + 5 x 3.4° + 16°

✒ 70° = 37° + 17° + 16°

✒ 70° = 70°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

15

Step-by-step explanation:

He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6

[tex]\huge\textsf {Hey there!}[/tex]

[tex]\mathsf{-22 + \dfrac{14}{2}(-10)}[/tex]

[tex]\mathsf{\dfrac{14}{2}= \boxed{\bf 7}}[/tex]

[tex]\mathsf{= -22 + 7(-10)}[/tex]

[tex]\mathsf{7(-10) =\boxed{\bf -70}}[/tex]

[tex]\mathsf{= -22 + (-70)}[/tex]

[tex]\mathsf{= -22 - 70}[/tex]

[tex]\mathsf{= \boxed{\bf -92}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -92}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-92 is the answer.

Step-by-step explanation :

Let's go step by step.

-22 + 14/2(-10)

14/2 is 7, and 7 multiplied by -10 is -70, so we end up with this :

-22 + -70 = -22 - 70

-22 - 70 is -92.

-92 is the answer.

Hope this helps, please mark brainliest!

Answer:

y=-15/2 + 3x/4

Step-by-step explanation:

Step-by-step explanation:

You can prove it by pythegoras use unit and you will get

Ef=gh

And FG=EH

Step-by-step explanation:

jajajsjhshhsejjddjidndjdjdjxndjdkhsjdjddjdkd

The probability is 1/3 that the number on the counter is not a multiple of three.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have to determine the probability that the number on the counter is not a multiple of three.

There are nine counters in a bag numbered from one to nine.

If a counter is drawn at random from the bag.

One to nine, there are three numbers are multiple of three that is (3, 6, 9)

Here favorable outcomes = 3

So the probability that the number on the counter is not a multiple of three as

⇒ 3/9

⇒ 1/3

Therefore, the probability is 1/3 that the number on the counter is not a multiple of three.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Answer:

10000 litres

Step-by-step explanation:

using proportion

if 7000 litres equals 42 minutes

then, x litres equals 60 minutes

x = (60×7000)÷ 42

x = 10000 litres

answer: 116⁰

z⁰ for y⁰ because it's

equal

Answer:

x = 63, y = 27

Step-by-step explanation:

x and 117 are adjacent angles and sum to 180°

x + 117 = 180 ( subtract 117 from 180 )

x = 63

x and y sum to 90°

x + y = 90

63 + y = 90 ( subtract 63 from both sides )

y = 27

Answer: x=63 y= 27

Step-by-step explanation:

180-117=63

x+y=90

63+y=90

90-63 = 27

hope this helps :)

9514 1404 393

Answer:

  B.  (-5, -2)

Step-by-step explanation:

That point is ...

  A + 1/5(B - A)

  = (-7, -4) + 1/5(3 -(-7), 6 -(-4)) = (-7, -4) +1/5(10, 10)

  = (-7, -4) +(2, 2) = (-5, -2)

The point (-5, -2) is 1/5 of the way from A to B.

Answer:

Step-by-step explanation:

take 30 devide it by 6 then minose 4 off that and get x=1

Answer:

x = 1

Step-by-step explanation:

6(x + 4) = 30

Simplify.

6x + 24 = 30

Subtract 24 from each side.

6x + 24 - 24 = 30 - 24

Simplify.

6x = 6

Divide each side by 6.

6x ÷ 6 = 6 ÷ 6

Simplify.

x = 1

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = ±8}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺ [tex] {x}^{2} = 64[/tex]

➺ [tex] \: x = \sqrt{64} [/tex]

➺ [tex] \: x = \sqrt{8 \times 8} [/tex]

➺ [tex] \: x = \sqrt{ ({8})^{2} } [/tex]

➺ [tex] \: x = ±8[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

b = 19 inches

h = 5 inches

A =  95 inches^2

Step-by-step explanation:

The area is given by

A = bh  where b is the base and h is the height

b = 19 inches

h = 5 inches

A = 19 inches * 5 inches =  95 inches^2

Answer:

18 inches

Step-by-step explanation:

A=L·H

108 in²=L·6 in

L=[tex]\frac{108}{6}[/tex]

L=18 inches

Answer:

Poooooop it is poop no cap legit

Step-by-step explanation:pooooooop

Pls believe me the dam answer is poop

Answer:

I gotchu man watch this

Step-by-step explanation:

in order to find x u gotta use tan or toh

opposite over hyp

anyway 17*tan(21)

6.525688596

or 6.53

Answer:

Step-by-step explanation:

tan θ = opposite / adjacent

tan 21 = x / 17

17 tan 21 = x

x = 6.52

Answer:

10yd

Step-by-step explanation:

area= 1/2bh

area=32yd²

b= 6.4, ¹/2b=3.2

therefore, 32= 3.2h

h= 32/3.2

= 10yd

Answer:

There are many outcomes or data that needs to be collected... like does the iPhone and android share the same speaker? or are your speaker grills blocked out by something? or is your iPhone old, because they do change the speaker each gen.

Answer:

9

Step-by-step explanation:

hip^2 = cat^2+cat^2

41^2= 40^2 + x^2

1681 = 1600 + x^2

1681-1600 = x^2

81 = x^2 /√

√81 = √x^2

9 = x

Answer:

C

Step-by-step explanation:

volume of cone= ⅓πr²h

Given: r= 3 in, h= 10 in

Volume of the cone

[tex] = \frac{1}{3} (\pi)(3^{2} )(10)[/tex]

= 30π

= 94.248 in³ (5 s.f.)

≈ 94 in³

Answer:

105°, obtuse angle

Step-by-step explanation:

60 + 45 = 105

Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

the second equation is correct

Step-by-step explanation:

I got it right on the test

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143[/tex]

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Answer:

b = 29.0, A = 123.9°, C = 20.1°

9514 1404 393

Answer:

  b = 29.0; A = 123.9°, C = 20.1°

Step-by-step explanation:

The given angle lies between the given sides, so the Law of Cosines is the appropriate relation.

  b² = a² +c² -2ac·cos(B)

  b² = 1681 +289 -1394cos(36°) ≈ 842.2303

  b ≈ √842.2303 ≈ 29.021

__

The Law of Sines can be used to find angle C:

  sin(C)/c = sin(B)/b

  C = arcsin(c/b·sin(B)) = arcsin(17/29.021×sin(36°))

  C ≈ 20.1°

  A = 180° -36° -20.1° = 123.9°

The remaining side and angles are ...

  b ≈ 29.0; A ≈ 129.9°; C ≈ 20.1°

_____

Additional comment

By choosing to find the smaller angle C first, we avoid having to deal with the ambiguity associated with the arcsine when the angle is greater than 90°.

Answer: domain: ARN

Range: y less than or equal to 0

Step-by-step explanation:

The arrows indicate that the lines continue forever, so the domain is all real numbers.

The lines only travel under the x-axis, so the range is y less than or equal to zero.

Answer:

1

Step-by-step explanation:

12x+32=117

12x=85

x=85/12