Given that Triangle ABC such that
a=8cm, b=7cm and c=9cm
tem and c= 9cm find Cos B​

Answers

Answer 1

Answer:

We use cosine rule also called cosine law which states

c^2=a^2+b^2-2abcosC

given

a=8cm, b=7cm, c=9cm cos C?

9^2=8^+7^2-2*8*7 cos C

expand

81=64+49-112 cos C

like terms together

81-113=-112 cos C

-32=-112cos C

multiply both sides by -1

32=112cos C

divide both sides by 112

32/112=cos C

cosC=0.2857

find cos inverse of 0.2857

angle C= 73.40


Related Questions


Bobby baked 18 cookies with 2 scoops of flour. With 4 scoops of flour, how many cookies can
Bobby bake? Assume the relationship is directly proportional.

Answers

Answer:

36

Step-by-step explanation:

half of 4 is 2, so the amount has been doubled. so multiply the amount of cookies by 2, and you get 36.

Answer:

36

Step-by-step explanation:

Bobby can bake 36 cookies with 4 scoops of flour because (18/2)*4=36

What triangle is this ????Pleaseeee helppp !!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!

What triangle is this ????Pleaseeee helppp !!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!

Answers

Answer: equilateral

Step-by-step explanation:

Answer:

equalateral (i know i spelled it wrong)

Step-by-step explanation:

they all have the same lengths -6.07-

when to reject or fail to reject the null hypothesis

Answers

To determine whether to reject or fail to reject the null hypothesis, we typically rely on statistical hypothesis testing. After conducting a hypothesis test, we consider the test statistic and the corresponding p-value.

When the p-value is less than or equal to the predetermined significance level (usually denoted as α), we reject the null hypothesis. This indicates that the observed data provides sufficient evidence to support the alternative hypothesis. Conversely, when the p-value is greater than the significance level, we fail to reject the null hypothesis. In this case, we do not have enough evidence to support the alternative hypothesis.

The significance level α is predetermined and represents the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. Commonly used significance levels include 0.05 (5%) and 0.01 (1%). The choice of the significance level depends on the specific research context and the consequences of making a Type I error.

It is important to note that failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true. It simply means that the observed data does not provide enough evidence to support the alternative hypothesis. There could still be other factors or limitations in the study that contribute to the lack of significant results.

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3. Michelle looks at the equation below
and says there is no solution. Is she
correct? Explain.
-6x - 30 = 6x – 30

Answers

Answer:

there is a solution but x will equal 0

Step-by-step explanation:

-6x-30=6x-30

combine -6x and 6x

-12x -30=-30

add 30 and -30

-12x=0

since -12 don't equal 0 then x will equal 0

so the final answer is x=0

PLZ HELP NO LINKS WILL MARK BRAINLIEST ! Find the area of triangles A B and C.

PLZ HELP NO LINKS WILL MARK BRAINLIEST ! Find the area of triangles A B and C.

Answers

siososishhskskhshsjjshs

A solid with surface area 50units^2 is dilated by a scale factor of K to obtain a solid surface area 200units^2. Find the value of K.

Answers

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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don leaves home at 2pm

Answers

Answer:

why ??

Step-by-step explanation:

Find an equation of the sphere with center (-3, 2, 6) and radius 5. What is the intersection of this sphere with the yz-plane? x = 0

Answers

The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.

To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.

Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

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One of the steps Jamie used to solve an equation is shown below. -5(3x + 7) = 10 -15x +-35 = 10 Which statements describe the procedure Jamie used in this step and identify the property that justifies the procedure?
AJamie multiplied 3x and 7 by -5 to eliminate the parentheses. This procedure is justified by the associative property.
B Jamie added -5 and 3x to eliminate the parentheses. This procedure is justified by the associative property.
C Jamie multiplied 3x and 7 by -5 to eliminate the parentheses. This procedure is justified by the distributive property.
D Jamie added -5 and 3x to eliminate the parentheses. This procedure is justified by the distributive property.​

Answers

Answer:

The correct answer is C: Jamie multiplied 3x and 7 by -5 to eliminate the parentheses. This procedure is justified by the distributive property.

Step-by-step explanation:
In the given step, Jamie multiplied each term inside the parentheses (3x and 7) by -5. This multiplication is performed to distribute the -5 to both terms within the parentheses, resulting in -15x and -35. This procedure is justified by the distributive property, which states that when a number is multiplied by a sum or difference inside parentheses, it can be distributed to each term within the parentheses.

Suppose 20% of ohio residents support the legalization of marijuana. If you randomly select n people and would like to use the normal approximation to answer questions, what does your sample size have to be, at minimum?.

Answers

The minimum sample size for the given event to have a normal approximation has to be 13 people.

For normal approximation,

np or n(1-p) should be greater than 10

where,

n = the sample size

p = probability for the occurrence of the event

Here, 20% of ohio residents support the legalization of marijuana

p = 20% or, 2/10

Hence,

1 - p = 1 - 2/10

= 8/10

Therefore, for normal approximation to be used

either n X 2/10 > 10    or,      n X 8/10 > 10

Therefore,

n X 2 > 10 X 10            or,      n X 8 > 10 X 10

hence,

n > 100/2                      or,               n > 100/8

n >  50                          or,               n > 12.5

Since we need to find the minimum no. of sample size to be required we will consider

n > 12.5

The sample size has to be a whole number hence,

n = 13

Therefore, the minimum sample size for the given event to have a normal approximation has to be 13 people.

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the lengths of songs on the radio are normally distributed with a mean length of 210 seconds. if 38.2% of all songs have lengths between 194 and 226 seconds, then the standard deviation of this distribution is

Answers

Answer:

Step-by-step explanation:

(b) find the dimensions of the rectangle with perimeter 100 inches that has maximum area, and then find the maximum area.

Answers

The rectangle with a perimeter of 100 inches that has maximum area has dimensions of 25 inches by 25 inches, resulting in a maximum area of 625 square inches.

This is achieved by dividing the perimeter equally into four sides, creating a square shape. To find the dimensions of the rectangle with maximum area, we consider the perimeter of the rectangle, which is given as 100 inches. Let's assume the length of the rectangle is L inches, and the width is W inches. The perimeter of a rectangle is given by the equation P = 2L + 2W. Since we are given that the perimeter is 100 inches, we have 2L + 2W = 100. Simplifying this equation, we get L + W = 50. To find the dimensions that maximize the area, we need to find the values of L and W that satisfy this equation and result in the largest possible area. One way to maximize the area is by making the rectangle a square, where all sides are equal. In this case, L = W. Substituting this into the equation L + W = 50, we get 2L = 50, which gives L = 25. Therefore, the dimensions of the rectangle with maximum area are 25 inches by 25 inches. The area of this rectangle is calculated by multiplying the length and width, giving us 25 * 25 = 625 square inches. Hence, the maximum area for a rectangle with a perimeter of 100 inches is 625 square inches.

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why are the other three wrong aswell

why are the other three wrong aswell

Answers

Answer:

• Only Katie is correct

Step-by-step explanation:

A regular polygon is a polygon with equal and identical sides and angles

\(.\)

the method of reduction of order can also be used for the nonhomogeneous equationa. trueb. false

Answers

The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

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Find the missing measurement round answer to nearest tenth

Find the missing measurement round answer to nearest tenth

Answers

Answer:

hope this helps you out five is a little harder to read sorry

Find the missing measurement round answer to nearest tenth

I NEED HELP ASAP plzzz ILL GIVE BRAINLIST

Find the average rate of change of the function graphed over the interval [-2, 1].

I NEED HELP ASAP plzzz ILL GIVE BRAINLISTFind the average rate of change of the function graphed over

Answers

Answer:

4

Step-by-step explanation:

is the answer

mark me as brainlist

HELP PLEASE! GIVING 60 POINTS!

HELP PLEASE! GIVING 60 POINTS!

Answers

Answer:

A tiny cat named Tiny sits all day in the window and watches people pass by.

Step-by-step explanation:

Select the sentence with an appositive phrase and a relative pronoun.

A tiny cat named Tiny sits all day in the window and watches people pass by.

The cat, which is a Calico, sits in the window all day.

Tiny, a Calico cat, is a close watcher of all who pass by.

Tiny, a fierce people-watcher, is her cat that is new.

Using the diagram, determine which statements are true. Select all that apply. m∠1 = 50° m∠3 = (2x + x + 25)° m∠2 = (x + 25)° m∠1 + m∠2 + m∠3 = 180° 50 + 2x+ x + 25 = 180

Answers

Answer:

All of them are true except for the second one.

Step-by-step explanation:

Answers A, C, D, E

Adriana uses 1/4 cups of pretzels for every 1/2 cup of raisins when making a snack mix. How many pretzels does Adriana use for 1 cup of raisins?

Answers

Answer:

he uses 1/2 if you must simplify if not he uses 2/4

Step-by-step explanation:

hope that helps

A rectangular plate of sides a and b is subjected to a force that is perpendicular to the plate. The plate is located on the xy-plane as shown. The pressure, p, at point (x, y) on the plate is proportional to the square of the distance of that point from the origin. (a) Find a formula for the pressure at point (x, y). Use k as the constant of proportionality. Use a lower case k. P(x,y) = (b) If pressure is force per unit area, set up the integral needed to find the total force on the plate. (c) Evaluate the integral in part (b). Your answer will be in terms of a, b, and k. Use all lower case letters.

Answers

In calculus, integration is the process of finding the integral of a function. The integral is a mathematical concept that represents the area under a curve or the net accumulation of a quantity over a given interval.

(a) The pressure, p, at point (x, y) on the plate is proportional to the square of the distance of that point from the origin, so we have:

p(x,y) = k(x^2 + y^2)

where k is the constant of proportionality.

(b) To find the total force on the plate, we need to integrate the pressure over the entire surface of the plate. The surface area of the plate is given by A = ab, so the total force on the plate is:

F = ∬p(x,y) dA

where the double integral is taken over the surface of the plate.

(c) We can evaluate the integral by expressing the pressure as a function of either x or y and integrating it over the other variable. Since the pressure is symmetric in x and y, we can integrate over an either variable. Let's integrate over x first:

F = ∫[0,b] ∫[0, a] k(x^2 + y^2) dx dy

= k ∫[0,b] (a^3/3 + ab^2/2) dy

= kab^2/2 + k(a^3/3) ∫[0,b] dy

= kab^2/2 + k(a^3/3) b

= (kab^2/2 + ka^3b/3)

Therefore, the total force on the plate is (kab^2/2 + ka^3b/3).

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Find the value of x

3x = 9² ​

Answers

\(\huge\boxed{Hi\:there!}\)

\(\huge\sf{3x=9^2}\)

\(\huge\sf{3x=81}\)

\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)

\(\huge\sf{x=27}\)

\(\huge\boxed{Hence,\:x=27.}\)

\(\huge\sf\underline{Hope\:it\:helps}\)

\(\boxed{CheerfulGirlie\:here\:to\:help}\)

Question:-

Find the value of x

3x = 9²

Answer:-

x = 27

Explanation:-

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

PLEASE HELP URGENT!!!!! Which equation represents a line with a slope of -2 and a y-intercept of 3?
a. y= -2/3x+ 3
b. y= -2/3x+ 2
c. y=-2x+3
d. y=3x-2

Answers

Answer:

23299jhrd

Step-by-step explanation:

Lol

You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually. determine the amount needed in the account such that you can withdraw the needed amount at the end of each period for 15 years. round to the nearest cent. a. $239,364.66 b. $182,713.25 c. $184,311.99 d. $237,288.39

Answers

The amount needed in the account is 182,713.25 dollars then the correct option is B.

What is a monthly payment?

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

Then the formula of monthly payment (MP) will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

The formula can be written as

\(\rm P = MP \times \dfrac{(1+r)^n-1}{r(1+r)^n}\\\)

You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually.

The amount needed in the account is such that you can withdraw the needed amount at the end of each period for 15 years will be

MP = $6951.20

r = 0.00875

n = 30

Then we have

\(\rm P = 6951.20 \times \dfrac{(1+0.00875)^{30}-1}{0.00875(1+0.00875)^{30}}\\\\P = \$182713.25\)

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PLEASE HELP
percent to the nearest inwalreden of a pertent? 11.969.39 9804011 \( 511,61+32 \) ?

Answers

Rounding a percentage to the nearest whole number can be done by considering the decimal part of the percentage. For the percentages provided, 11.969 would round to 12%, 39.9804 would round to 40%, and 11.61+32 would equal 43.

To round a percentage to the nearest whole number, we examine the decimal part. If the decimal is 0.5 or greater, we round up to the next whole number. If the decimal is less than 0.5, we round down to the previous whole number. In the given examples, 11.969 has a decimal of 0.969, which is closer to 1 than to 0, so it rounds up to 12. Similarly, 39.9804 has a decimal of 0.9804, which is closer to 1, resulting in rounding up to 40. Lastly, the expression 11.61 + 32 equals 43, as it is a straightforward addition calculation.

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Four more than 1/3 of a number is 8. What
is the number?

Please explain how you get the answer :)

Answers

Answer:

18 Is the am

Step-by-step explanation:

To solve this we need to break down what each term means.

Two more than would look like x + 2

One-third of a number is 1/3*X or X/3

From this we can say x*1/3 + 2 = 8

To find X, you need to get X alone.

First, subtract 2 from both sides to get rid of the + 2 factor

X*1/3 = 6

Multiple both sides by 3 to resolve the 1/3 factor

X = 6*3 = 18

just simplify help for math

just simplify help for math

Answers

Answer:

156

Step-by-step explanation:

a student measured and recorded the mass of three different pieces of silicon: 1.122g 1.08 g 1.11 g calculate the mean (average) mass to the correct number of significant figures.

Answers

The mean mass of the three pieces of silicon is 1.104 g when rounded to the correct number of significant figures.

To calculate the mean mass, you need to add up the individual masses and then divide the sum by the total number of measurements. In this case, you have three measurements: 1.122 g, 1.08 g, and 1.11 g.

Adding these values together gives you a sum of 3.312 g. To find the mean, you divide this sum by the total number of measurements, which is 3. So, 3.312 g divided by 3 equals 1.104 g.

Since the least precise measurement given has two decimal places (1.08 g), the mean mass should also be rounded to two decimal places. Therefore, the mean mass of the three pieces of silicon is 1.104 g when rounded to the correct number of significant figures.

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Find the area of a sector with a central angle of 9.6 radians and a radius of 21.4 units

Answers

Answer: So the area of the sector with a central angle of 9.6 radians and a radius of 21.4 units is approximately 1438.47 square units.

Step-by-step explanation: To find the area of a sector, we can use the formula:

A = (θ / 2π) * πr^2

Where θ is the central angle of the sector in radians, π is the constant approximately equal to 3.14, and r is the radius of the sector. In this case, θ is 9.6 radians and r is 21.4 units, so we can plug those values into the formula to get:

A = (9.6 / 2π) * π * 21.4^2

Simplifying, we get:

A = (9.6 / 6.28) * 3.14 * 461.96

This simplifies to:

A = 1.5 * 3.14 * 461.96

And finally, to get the area of the sector we multiply to get:

A = 1.5 * 3.14 * 461.96 = 1438.47 square units

So the area of the sector with a central angle of 9.6 radians and a radius of 21.4 units is approximately 1438.47 square units.

Every Friday the boss buys pizza for his workers. Last week the workers finished 5 pizzas. This week
they finished 5 pizzas. Write the ratio of pizzas eaten last week to pizzas eaten this week.
Remember ratios must have two whole numbers.

Answers

Answer:

1:1 because they ate the same amount both weeks

PLEASE HELP!!! THIS IS DUE TODAY!

A three-bedroom house in Burbville was purchased for $210,000. Housing prices are expected to increase 2% annually in that town. Find the price of the house in 5 years. Show your equation (2 points), and then your answer (2 points).

Answers

Answer:

qjavaivsjsjajjsnssjskksjskskmamaansxbxk

Answer: y=210000(1+0.02)^5

y=231856.97

Step-by-step explanation:

210000 is the total cost and it increases by two percent and its asking how much it will be in 5 years so when you plug in the equation you should get y=231856.97.

Hope this helped

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