Can someone help with number 4. I will reward brainliest.

Can Someone Help With Number 4. I Will Reward Brainliest.

Answers

Answer 1

Answer:

theta = pi/6 and

theta = 5pi/6

Step-by-step explanation:

see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.

Can Someone Help With Number 4. I Will Reward Brainliest.
Answer 2

Let's simplify the problem down a little:

 ⇒ set 'sin(θ)' as x

    ⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]

Now let's solve this equation as a quadratic:

 [tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]

Now set the x value of '1/2', to sin(θ)

it can't be -3, because trig functions can't equal a negative number

         sin(θ) = 1/2

            θ = π/6, which is between the range given

Answer: π/6

Hope that helps!


Related Questions

10 points! Please help me!

Answers

In this case, we must use our trigonometric equations to help us solve this problem:

    ⇒ look at the diagram attached

Let's examine what the problem wants:

side adjacent to the 41-degree angle

Let's examine what the problem gives us:

length of the side opposite the 41-degree angleone angle which has a measure of 41 degrees

Let's solve:

  [tex]tan(41)=\frac{12}{x} \\12=x*tan(41)\\x=\frac{12}{tan(41)} \\x=13.80[/tex]

 

Answer: 13.8 (rounded to nearest tenth)

Hope that helps!

a) Work out the size of angle x. b) Give reasons for your answer. + A E C xº B F 105° G D H​

Answers

Check the picture below.

The cost of an apple is $1.20. What is the cost of 5 apples?

Answers

The cost of 5 apples is $6

Answer:

0.24

Step-by-step explanation:

$1.20 ÷ 5 = 0.24

To check that we are going to multiply [tex]5 x 0.24 = $1.20\\[/tex]

I hope this helps and have a great day!

Solve for X.
- 4x + 10 = 50

Answers

Answer: -10

Step-by-step explanation:

10 x 4 is 40 so with 2 negatives, it turns positive, and 40 plus 10 = 50

Answer:

x=-10

Step-by-step explanation:

-4x+10=50

10=50+4x

-50+10=4x

-40=4x

4x=-40

x=-40÷4

x=-10

may someone help me with this problem? Thank you!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the value of given expression for x = 5 ~

[tex]\qquad \sf  \dashrightarrow \:3(3x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x + 15[/tex]

now, plug in the value of x as 5

[tex]\qquad \sf  \dashrightarrow \:9(5) + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:45 + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:60[/tex]

so, the equivalent value is 60

It is 11x I believe

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. consider the logarithmic function f(x) = log10(x). the value of f(50), rounded to nearest hundredth, is .

Answers

It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.

What is logarithmic?

Logarithmic functions are defined as the inverses of exponential functions.

Hence, exponential functions can be expressed in logarithmic form

Given that f(x) = log₁₀(x)

we need to find the value of f(50),

we have to substitute x to be 50 in the logarithm function,

f(50) = log₁₀(50)

f(50) = log₁₀(5 x 10)

f(50) = log₁₀(5) + log₁₀(10)  

f(50) = 1 + log₁₀(5)

f(50) = 1 + 0.70

f(50) = 1.70

Hence, It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.

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You are a travel agent contacted by the Alonzo family who plans for a three-day summer vacation in Hong Kong. You are to present to them a variety of transportation packages within their allotted budget. The package should interest all the members of the family, namely: Mr. and Mrs. Alonzo; Joshua, their 24-year old son; and Bea, their 12-year old daughter. Create a diagram showing the variety of transportation options for all the family members to choose from. Explain how you arrived at those options.​

Answers

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

magpakailanman

[tex]\pink{\rule{1pt}{999999pt}}[/tex]


1. A group of 20 students: 2 freshmen, 4 sophomores, 6 juniors and 8 seniors - are trying to get onto a
committee to select a new math teacher. How many different groups of six can be chosen?

Answers

Answer:

38760 ways

Step-by-step explanation:

20 C 6 = 38760

If 3/7 of people attended a conference are male. how many females attended the conference if the total attendance is 210

Answers

210 divided by 7= 30
30x3=90
210-90=120
120 females attended the conference

A mass of water at 100°c is added to another mass Q of water at a temperature T and the resulting temperature is theta. Describe an expression for theta in terms of the quantities (specific heat capacity of water is 4.2JKg-¹K-¹).​

Answers

Answer:

Use the formula Where 1. q = Heat Energy 2. m = Mass 3. c = Specific Heat 4. ΔT = Change in temperature. 14640 J = (300 g)(2.44 J/g·°C)ΔT Solve for ΔT: 1. ΔT = 14640 J/(300 g)(2.44 J/g·°C) 2. ΔT = 20 °C 3. ΔT = Tfinal - Tinitial 4. Tfinal = Tinital+ ΔT 5. Tfinal= 10 °C + 20 °C 6. Tfinal= 30 °C Answer:The final temperature of the ethanol is 30 °C.

Mark Brainliest ;)

What does the word progressive mean in the sentence below

Answers

What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me

The triangles below are similar because of the:

Answers

Answer:

AA similarity postulate

Explanation:

For triangle XZY, the angles are 90°, 40°, 50°.

For triangle AXB, the angles are 90°, 40°, 50°.

Which states that all the angles are of equal measure in the triangles.

This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.

Find the area please

Answers

=202 in²

Divide the shape into 2.

Area of a rectangle= Length * Width

So..

The first shape = 13in*4in = 52in²

The second shape = 15in * 10in = 150in²

150 + 52 = 202in²

Use the standard deviation values of the two samples to find the standard deviation of the sample mean differences.

sample standard deviation
red box 3.868
blue box 2.933
then complete each statement.

the sample size of the session regarding the number of people would purchase the red box,
n
1
, is .

the sample size of the session regarding the number of people would purchase the blue box ,
n
2
, is .

the standard deviation of the sample mean differences is approximately .

Answers

The standard deviation of the sample mean differences is 4.854

How to determine the standard deviation of the sample mean differences?

The table of values is given as:

Sample      Standard deviation

Red box     3.868

Blue box   2.933

The standard deviation of the sample mean differences is calculated using:

[tex]\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}[/tex]

This gives

[tex]\sigma = \sqrt{3.868^2 + 2.933^2}[/tex]

Evaluate the expression

[tex]\sigma = 4.854[/tex]

Also, the table of value do not give any information regarding the sample size.

This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown

Hence, the standard deviation of the sample mean differences is 4.854

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a) Complete the table of values for y = 2x + 3
x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?

Answers

Answer:

Step-by-step explanation:

Because the slope of y = 2x + 3 is 2, y increases by 2 for every unit increase in x.

Substituting the given x-value -2 into y = 2x + 3 results in y = -1.

If we now increase x by 1, from -2 to -1, y increases by 2:  the new

y value is y = -1 + 2 or y = 1. which agrees with the +1 in the list of y-values.

Again, y =  ?,,,1,,,,?,,?,,7,,?  becomes  y = -1, 1, ?,,?,,7.  Note that -1 + 2 = 1;

1 + 2 = 3; 3 + 2 = 5; 5 + 2 = 7 (which agrees with the given 7); 7 + 2 = 9.

So the given incomplete table of values

x,,-2,,-1,,0,,1,,2,,3

y,,,?,,,1,,,,?,,?,,7,,?

becomes:

x,,-2,,-1,,0,,1,,2,,3

y,,, -1,,1,,,3,,5,,7,,9

Add 4/13 with the multiplicative inverse of 5 1/5​

Answers

Answer:

Step-by-step explanation:

Multiplicative inverse of 26/5 is 5/26

(4/13 + 5/26)

13/26 ᴏʀ 1/2

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the distance travelled by motorcycle. b) the displacement​

Answers

The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.

What is Distance and Displacement ?

Distance and Displacement both are the measure of the movement of an Object from one point to another.

Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.

Distance travelled will always be positive but Displacement can be positive , negative and zero.

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure

The missing figure is attached with the answer.

(a) The distance covered by the motorcycle is

2πr = 2 * 3.14 * 5 = 31.4 km

(b) The displacement will be equal to 0 as the starting and the ending point is same.

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What is the slope of the line with this equation y-6 = - (x - 3) ? Explain.

Answers

Answer:

-1

Step-by-step explanation:

ecuacion de la pendiente está dada por:

Y-yo=m(X-xo)

donde m es la pendiente

del problema :

y-6 = - (x - 3

m=-1

The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.

Answers

Answer:

59.1 feet

Step-by-step explanation:

The formula for the circumference of a circle in C=2πr. Since the radius of the circle is given, all you have to do is plug it into the equation.

C=2πr

C=2π(9.4)

C=18.8π feet  <-- this is the exact answer

C=59.1 feet

Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1? 6, 1, –4, –9, –14, … f (n 1) = f(n) 5 f (n 1) = f(n) – 5 f (n) = f(n 1 ) – 5 f (n 1) = –5f(n)

Answers

The recursive formula is f(n+1)= f(n)-5.

What is recursive function?

Given sequence :

f(1)= 6, n≥1.

Let f(n) denote the nth term of the given sequence.

f(1)= 6

f(2)= 1 = f(1)-5

f(3)= -4 = 1-5= f(2) -5

f(4)= -9 = 1-10 = f(2)-10

and so on

Hence, the recursive formula is f(n+1)= f(n)-5.

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Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 - 2m6+5m²n4 - m³n³ + n6 - 4m6 + 9m²n4 - mn5 - 4m³n³ O n6 + 7mn5 + 14m²n4 - 5m³n³ - 6m6 O -2m6 - 5m³n³ + 14m²n4 + 7mn5 + n6 O 14m²n4 + 7mn5 - 6m6 - 5m³n³ + n° On6 - 6m6 + 7mn5 + 14m²n4 - 5m³n³ Mark this and return Next Submi Sa Exit​ve an
d​

Answers

Option A is the correct option. The polynomial correctly combines the like terms and expresses the given polynomial in standard form is,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

What is the polynomial equation?

A polynomial equation is an equation in which the unknown variable is one and the highest power of the unknown variable is n. Here n can be any real number.

Given information-

The polynomial equation given in the problem is,

8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

Let the above polynomial is. Thus,

f(m,n) = 8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

The terms with the same base and exponents can be added or subtracted from each other. Thus solve the equation further as,

f(m,n) = ( 8mn⁵ - mn⁵ ) -2m⁶ + ( 5m²n⁴+9m²n⁴ ) - ( m³n³-4m³n³) + n⁶-4m⁶

f(m,n) = 7mn⁵ - 2m⁶ + 14 m²n⁴ - 5 m³n³ + n⁶- 6m⁶

Arrange it as,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

Thus the polynomial correctly combines the like terms and expresses the given polynomial in standard form is,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

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can you guys please explain this to me?

Answers

answer to this is 24cm2

Step-by-step explanation:

area of square is 4x4=16 and area of triangle is 6x4=32 add the both together (32+16) and you have 40cm2

solve for x -
[tex]x {}^{2} - 6x + 5= 0[/tex]


ty! ~​

Answers

Answer:

x = 5, x = 1

Step-by-step explanation:

Hello!

We can solve this quadratic by factoring.

Solve[tex]x^2 - 6x + 5 = 0[/tex][tex]x^2 - 5x - x + 5 = 0[/tex][tex]x(x - 5) - 1(x - 5) = 0[/tex][tex](x - 5)(x - 1) = 0[/tex]

Use the zero product property:

x - 5 = 0
x = 5x - 1 = 0
x = 1

x = 5, or x = 1

Please help , giving brainliest .

Answers

Answer:

363.22

Step-by-step explanation:

Method 1:

You could find the whole figure surface area than divided by 1/2

Method 2: (the one I'm going to personally be doing)

Break the figure into two rectangular figures

Formula for surface area of rectangular prism:

A = 2(width x length + height x length + height x width)

Figure 1:

A = 2(width x length + height x length + height x width)

height = 3.8 yd

length = 10.1 yd

width = 4.3 yd

A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))

A = 2(98.15)

A = 196.3

Figure 2:

A = 2(width x length + height x length + height x width)

height = 8.4 yd

length = 10.1 yd

width = 2 yd

A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))

A = 2(121.84)

A = 243.68

There is overlapping surface area that shouldnt be include so we need to subtract it...

For one face of figure 1

3.8 x 10.1 = 38.38

Total:

Figure 1 + Figure 2 - 2(one face)

196.3 - 38.38 = 157.92

243.68 - 38.38 = 205.3

205.3 + 157.92 = 363.22

A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 23% chance of drawing an orange marble and a 48% chance of drawing a white marble. What is the probability of choosing a purple marble? Express your answer as a percent.

Answers

The probability of choosing a purple marble from the given parameters is given as; 29%

How to find the Probability?

We are given;

Probability of drawing an orange marble = 23% = 0.23

Probability of of drawing a white marble = 48% = 0.48

Thus, probability of drawing a purple marble is;

P(purple marble) = 100% - (23% + 48%)

P(purple marble) = 29%

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What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, ...

Answers

Answer:

3n-10

Step-by-step explanation:

Goes up by three and the first number of this sequence is 10 below 3.

which graph represents a function​

Answers

Answer:

I think it's the one in the middle

Step-by-step explanation:

By what percent will a fraction CHANGE(not increase!!) if it’s numerator is decreased by 60% and it’s denominator is decreased by 20%?


I am aware that it is a decrease, but not sure of how much it is a decrease by.


HELP ASAP!!

Answers

if i was i your class or in bigger class i will help you


Find the area of AAOB
9√3 un²
3√3 un²
4.5√3 un

Answers

Answer:

Step-by-step explanation:

The area of the equilateral triangle is [tex]\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}[/tex]

i need help with this please vvv

Answers

Answer:

(a,b)

Step-by-step explanation:

Using the Midpoint formula,

[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

you will get

[tex]\left(\frac{2a+0}{2},\:\frac{0+2b}{2}\right)[/tex]

which is

(a,b)

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