find the value of each variable using sine and cosine round your answers to the nearest tenth​

Answer:

the common demonator is 8.

Step-by-step explanation:

Answer:

2/(3a^(1/3))

Step-by-step explanation:

The derivative of g(x) = 2/(3x^(1/3))

you get this by bringing the exponent of g(x) down and the new exponent is (2/3) - 1 .

Then replace x with a

Answer:

[tex]5x^{2} +2x-1[/tex][tex]5x^{2}+2x-1[/tex]

Answer:

The length of QR to the nearest tenth of a foot is 287.28 feet.

Step-by-step explanation:

Let a right angled Triangle QRS have base SQ, perpendicular RS and Hypotenuse QR.

∠S = 90°

∠Q = 17°

Perpendicular = 84 ft

We know that for a right angle triangle

SinΘ = perpendicular/Hypotenuse

Sin ∠Q = 84/QR

QR = 84/sin(17°)

QR = 84/0.2924

QR = 287.2777

QR = 287.28 feet

The cosine rule is used to determine the length of side q. Then the length of side q is 5.34 inches.

Trigonometry deals with the relationship between the sides and angles of a triangle.

In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°.

Then the length of q will be given by the cosine rule.

[tex]\rm q = \sqrt{r^2 + s^2 - 2rs \cos Q}\\\\q = \sqrt{5.1^2 + 2.4^2 - 2 \times 5.1 \times 2.4 \cos 26^o}\\\\q = \sqrt{26.01 + 5.76 - 24.48 \times 0.89879}\\\\q = \sqrt{50.49 - 22}\\\\q = \sqrt{28.49}\\\\q = 5.34 \ inches[/tex]

The length of the q is 5.34 inches.

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Answer:

right side

Step-by-step explanation:

Answer:

meiko has 32 pencils

Step-by-step explanation:

8×4=32

Meiko has 32 pencils.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.

Let Mieko has x pencils,

Establishing the equation,

Therefore, according to question,

x = 4 × 8

x = 32

Hence, Mieko has 32 pencils

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Answer:

Step-by-step explanation:

diameter = 10 in

radius = 5 in

area = π5² = 25π ≅ 78.5 in²

Answer:

879

Step-by-step explanation:

Because C is greater than A, C has to be the largest possible number so that A can be as large as possible. because C is the largest possible number, which is 9, the next largest number is 8, which in this case is A. The next biggest number is 7 which is B.

To sum it all up, the number is 879.

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Explanation:

1/3 converts to the decimal form 0.333333... where the 3's go on forever

5/3 is a similar story but 5/3 = 1.666666.... where the '6's go on forever

The notation [tex]0.\overline{6}[/tex] indicates that the 6's go on forever.

So, [tex]0.\overline{6} = 0.666666\ldots[/tex]

The horizontal bar tells us which digits repeat. As another example, [tex]0.\overline{123} = 0.123123123123\ldots[/tex]

The three dots just mean "keep this pattern going forever".

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Everything mentioned so far has the decimal portions go on forever repeating some pattern over and over.

The only one that doesn't do this is 33% which converts to the decimal form 0.33

The value 0.33 is considered a terminating decimal since "terminate" means "stop". So this is the value that doesn't fit in with the other three items mentioned.

Answer:

You can’t see a rainbow from the other side. There is no other side. A rainbow happens when light is reflected from water droplets. If you get to the other side of the rain and look back, you can’t see the reflection. It would be like going behind a movie projection screen. You can’t see anything from the back side.

Step-by-step explanation:

Answer:

26/2

Step-by-step explanation:

Answer:

85.8

Step-by-step explains

4596.96-4200=396.96

4511.16--4200=

396.96-311.16=85.8

so 85.8 and b

Answer:

$44 per 1 meal

Step-by-step explanation:

Answer:

The distance between the points

d = LM = 10.24

Step-by-step explanation:

Step(i):-

Given that the points are L ( 7,-1) and M (-2,4)

The distance formula

  LM = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

Step(ii):-

[tex]LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }[/tex]

LM = [tex]\sqrt{(-9)^{2} +(5)^{2} }[/tex]

LM = √106

LM = 10.29

The distance between the points

d = LM = 10.24

Answer:

1. m<2 = 115 °

2. m<5 = 83 °

3. m<8 = 45 °

4. m<4 = 137 °

Step-by-step explanation:

1. Determination of m<2

m<1 = 115 °

m<2 =?

m<2 = m<1 (vertically opposite angles are equal)

m<2 = m<1

m<2 = 115 °

2. Determination of m<5

m<6 = 83 °

m<5 =?

m<5 = m<6 (vertically opposite angles are equal)

m<5 = m<6

m<5 = 83 °

3. Determination of m<8

m<9 = 45 °

m<8 =?

m<8 = m<9 (vertically opposite angles are equal)

m<8 = m<9

m<8 = 45 °

4. Determination of m<4

m<3 = 137 °

m<4 =?

m<4 = m<3 (vertically opposite angles are equal)

m<4 = m<3

m<4 = 137 °

the graph would go up 45$ per hour of work if she is charging a per hour rate

Step-by-step explanation:

becouse she charges 630$ per 14 hours you would do 630÷14 which =45$

the 45 represents the hourly rate

the graph should spike every hour mark.

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Answer:

Lo averiguaste, lo siento, amigos míos, por haberlos ayudado. pero la respuesta es 456 $.

Step-by-step explanation:

Answer:

8o F at least I'm pretty sure 101o F ≥ 8o

Step-by-step explanation:

Correct me If im wrong

Answer:

it's A

Step-by-step explanation:

the reason why it's A is that X can not have to repeating numbers

Answer:

I dont see the question

Step-by-step explanation:

soryy

Answer:

0.0625 Days

Step-by-step explanation:

For 1 day Erin uses 1 3/8

1 day consumption is 11/8

11/2 bags of oranges would take

11/2 divided by 11/8

Answer:

Step-by-step explanation:

1/2 = 6/12

7/12= 7/12

2/3= 8/12

3/4= 9/12

5/6 = 10/12 the next fraction

Answer:

x= (-∞,∞)

Step-by-step explanation:

x could be any value and make this equation true

Answer:

The drug have effect on lowering the cholesterol.

Step-by-step explanation:

H₀ : μ₁ - μ₂ = 0

⇒ H₀ : μ₁ =  μ₂

H₁ : μ₁ - μ₂ < 0

⇒H₁ : μ₁ <  μ₂

Now,

given , n₁ = 23 , n₂ = 23

∴ Degree of freedom = v = n₁ + n₂ - 2

                                         = 23 + 23 - 2 = 44

⇒v = 44

Now,

Given, level of significance = 5% = 0.05

For the given significance level, critical time t = 1.68

As

Decision rule states that'if t < 1.68 , reject H₀

Now,

For Drug:

mean = m₁ = 195

SD = d₁ = 35

People = n₁ = 23

For placebo :

mean = m₂ = 245

SD = d₂ = 31

People = n₂ = 23

Now,

Variance = [tex]\frac{(23-1)35^{2} + (23-1)31^{2} }{23 + 23 - 2}[/tex]  = 1093

Standard Deviation, S = 33.06

Point estimate = m₁ - m₂ = 195 - 245 = -50

Standard deviation error = S×([tex]\frac{1}{n_{1} } + \frac{1}{n_{2} }[/tex] ) = 9.75

Now,

Test statistics = [tex]-\frac{50}{\sqrt{9.75} } = -5.13[/tex]

⇒ t < 6.13

⇒Reject H₀

⇒The drug have effect on lowering the cholesterol.

Answer:

3 x [tex]4^{3}[/tex] x [tex]7^{2}[/tex]

Step-by-step explanation:

Answer:

74%->91.22

100%-> 123.27(estimated)

The total amount of the utility bill will be $123.2.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.

The total amount will be calculated as below:-

74% ⇒ $91.22

1% ⇒ 91.22 / 74

100% ⇒ ( 91.22 x 100 ) / 74

100% ⇒ $123.27

Therefore, the total amount of the utility bill will be $123.2.

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