CAN SOMEONE HELP ME PLEASE

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

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Colleen will earn $12.50 in interest after 10 months.

To calculate the interest earned by Colleen after 10 months, we can use the formula for simple interest:

I = P * r * t

where I is the interest earned, P is the principal amount invested, r is the interest rate as a decimal, and t is the time period in years.

In this case, Colleen invested $750, the interest rate is 2% or 0.02 as a decimal, and the time period is 10/12 years (since 10 months is equivalent to 10/12 of a year).

Plugging these values into the formula, we get:

I = $750 * 0.02 * (10/12)

I = $750 * 0.016666...

I = $12.50

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Answer: It would be Figure L

Step-by-step explanation:

It is supposed to be reflected off the y-axis and the only shape in that same box across is Figure L. So there, have a nice and blessed day!

Answer:

Figure L

Explanation:

It's reflected across the y-axis. The y-axis is a vertical line

The domain in interval notation is [-5, 3].

The domain in compound inequality is -5 ≤ x ≤ 3.

The range in interval notation is [-3, 4].

The range in compound inequality is -3 ≤ y ≤ 4.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-5, 3] or -5 ≤ x ≤ 3.

Range = [-3, 4] or -3 ≤ y ≤ 4.

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AUV is initially at -8.25ft

Then, it dives down 6ft

AUV is now at -14.25ft

It dives down 15ft

AUV is now -29.25ft

Answer:

\(\frac{a}{2(b1+b2)} =h\)

Step-by-step explanation:

The p value is calculated as 0.116

Null u = 70

alternate u ≠ 70

The alternate is a two tailed test

the test statistic calculation

t = x - u / s/√n

x = 85 + 77 + 82 + 68 + 72 + 69 / 6

= 75.5

standard deviation s = \(\sqrt{\frac{(85- 75.5)^2+(77- 75.5)^2+...(69- 75.5)^2}{6-1} }\)

= 7.01

Test stat = (75.5 - 70) / 7.01/√6

= 1.92

degree of freedom = 6 - 1 = 5

this is 2 tailed

p value using excel = tdist( 1.8, 5 , 2)

= 0.116

We fail to reject the null hypothesis because it is greater than the level of significance

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A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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The correct comparison between two function is

Both functions are increasing, but function g increases at a faster average rate.

The Correct option is (B).

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

Let us assume

f(x) = \(ab^x\)+ c

so, at x=0, f(0)=-10

a +c = -10

Similarly, by satisfying the above table in the f(x)

f(x) = -33/5 \((1/11)^x\) - 17/5

and, f'(x) > 0

Thus, f(x) is an increasing function.

Now, g(x) = -18 \((1/3)^x\) +2

g'(x) = -18 \((1/3)^x\) log(1/3)

as log 1/3 <0

So, g'(x) > 0

Thus, g(x) is an increasing function.

For any x ∈ f(x) and x ∈ g(x), g'(x) > f'(x).

Hence, Both functions are increasing, but function g increases at a faster average rate.

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Answer:

EndRoot Over 2 EndFraction

StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction

On using the trigonometric identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we calculate that  \(sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) =sin(\frac{-\pi }{2} )\).

Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain.

\(=sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) \\\\=sin(\frac{\pi }{12} -\frac{7\pi }{12})\\ \\ =sin(\frac{-\pi }{2} )\)

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Given

Graph

Procedure

5) The figure can be separated into a triangle and a rectangle.

The trapezoid can be divided into two figures. A triangle and a rectangle.

6) Are of the trapezoid

Total area

We can write this inequalities as:

If the cargo W has to be 2,800 pounds at most, then:

The shopper has to spend $100 or more to get a discount, so the spending d to get a discount can be written as:

Leeza did make an error. She also needs to multiply -5 by 3

4x = 7+6x -15

OPTION B

Answer:

leeza made an error she should have also multiplied -5 with three

Step-by-step explanation:

4x=7+3(2x-5)

4x=7+6x-15

4x=6x-8

eight goes to the other side of the equal sign and becomes positive 4x goes to the other side of equal sign and becomes negative

8=6x-4x

8/2=2x/2

4=x  answer.

Answer:

B. No

Step-by-step explanation:

I calculated it logically

The inequality is graphed and attached

There are some points that help in interpreting inequality graphs.

the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.

3x - 2 > y

y < 3x - 2

for x = -4

y < 3 * -4 - 2 = -14

for x = 0

y < 3 * 0 - 2 = -2

for x = 4

y < 3 * 4 - 2 = 10

table of values

x      y

-4   -14

0     -2

4     10

y < 3x - 2 is the equation

Then use of dashed lines of dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR < hence used for the problem

solid line means there is equality in the inequality  ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line

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Use Euler’s Formula to find the missing number.

18

Answer:

Use Euler’s Formula to find the missing number.

Faces: __8__

Edges: 15

Vertices: 9

Answer is 8

Step-by-step explanation:

The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

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The most likely to be discussed in a feminist criticism of Chinua Achebe's work is his portrayal of gender roles and  Ina is a typical woman . The correct option is 2.

What is a novelist person?

A novelist is a person who writes novels. The key to success as a romantic novelist is absolute belief in your story. Synonyms: author, writer More Synonyms of novelist

Who is Chinua Achebe?

Chinua Achebe is a novelist and poet. He  is famous for his pivotal direction in literature of Africa. His first novel was Things fall apart.

The options are attached here:

his life story and literary achievements

his portrayal of gender roles

his descriptions of the landscape

his literary influences and preferences

Thus, the correct option is 2. his portrayal of gender roles.

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The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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The value of the function f(6) on the graph of the linear equation is -1

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation of the function is given as

f(x) = 1/3x - 3

The graph of the function is added as an attachment

From the graph, we can see that when x = 6, the value of the function is -1

This means that f(6) = -1

Hence, the value of the function f(6) on the graph of the linear equation is -1

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Answer: 55.2 in

Step-by-step explanation:

1ft = 12 in

41.4/9 = 4.6 ft

4.6 x 12 = 55.2 in

Amount of money needed to carry to the sari sari store is 59.

a) According to question

Amount of eggs to buy = 3

Rate of eggs = 8

Total amount for eggs = 3x8=24

Amount of  hotdogs to buy = 2

Rate of hotdogs = 10

Total amount to pay for hotdogs = 2x10=20

Amount of  bread to buy = 3

Rate of bread = 5

Total amount to pay for bread=3x5=15

So money needed to take to the sari sari store=24+20+15=59

b) Polynomial is 4x²+2x-3

1) x=1

  4(1)²+2(1)-3

  4+2-3

  3

2) x=2

 4(2)²+2(2)-3

 4(4)+4-3

 16+4-3

 17

3) x=3

 4(3)²+2(3)-3

 4(9)+6-3

 36+6-3

 39

4) x=5

 4(5)²+2(5)-3

 4(25)+10-3

 100+10-3

 107

5) x=6

 4(6)²+2(6)-3

 4(36)+12-3

 144+12-3

 153

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First, remember that:

log

a

(

b

⋅

c

)

=

log

a

(

b

)

+

log

a

(

c

)

Therefore, we can say that:

log

(

4

x

)

+

log

(

3

x

+

1

)

=

log

(

4

x

⋅

(

3

x

+

1

)

)

⇒

log

(

12

x

2

+

4

x

)

We now rewrite the equation:

log

(

12

x

2

+

4

x

)

=

3

Now remember that:

log

(

b

)

=

log

10

(

b

)

And that if

log

a

(

b

)

=

c

, then

b

=

a

c

Therefore, we can now simplify the equation.

log

(

12

x

2

+

4

x

)

=

3

=>

log

10

(

12

x

2

+

4

x

)

=

3

=>

(

12

x

2

+

4

x

)

=

10

3

=>

12

x

2

+

4

x

=

1000

=>

12

x

2

+

4

x

−

1000

=

0

Let's use the quadratic formula

−

b

±

√

b

2

−

4

(

a

)

(

c

)

2

(

a

)

We now know that:

x

=

−

4

±

√

4

2

−

4

(

12

)

(

−

1000

)

2

(

12

)

We can now solve for

x

.

=>

x

=

−

4

±

√

48016

24

=>

x

=

−

4

±

4

√

3001

24

=>

x

=

−

1

±

√

3001

6

=>

x

≈

8.964

,

9.197

Now, we see that when

x

<

0

, whatever solution we have will be extraneous.

Therefore,

x

≈

8.964

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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The length of the curve defined by from the point (-3, 2136) and (3, 2238), by use of distance formula is approximately 102.17 units.

The formula for the distance between two points (x1, y1) and (x2, y2) is given by:

\(d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)\)

In this case, we have:

x1 = -3, y1 = 2136

x2 = 3, y2 = 2238

Substituting these values into the formula, we get:

\(d = \sqrt{((3 - (-3))^2 + (2238 - 2136)^2)\)

\(= \sqrt{(6^2 + 102^2)\)

= \(\sqrt{(10440)\)

≈ 102.17

Therefore, the length of the curve defined by the points (-3, 2136) and (3, 2238) is approximately 102.17 units.

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_____The given question is incorrect, the correct question is given below:

To find the length of the curve defined by from the point (-3,2136) to the point (3,2238), you'd have to compute by using distance formula.

The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Ha:mu<10  is the appropriate alternative hypothesis that the consumer group wishes to test .

How would you define hypothesis?

An assumption or notion is called a hypothesis when it is put forth with the purpose of debating whether it might be true.

                               In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.

Ha:mu<10

Because A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less.

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Answer:

If it's a final grade, then you'll get a 74-75% in the class

Step-by-step explanation: