What is the answer to this-

Check the picture below.

so firstly let's find side "a"

\(\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ a = \sqrt{7^2+12^2~-~2(7)(12)\cos(55^o)} \implies a = \sqrt{ 193 - 14112 \cos(55^o) } \\\\\\ a \approx \sqrt{ 193 - (96.3608) } \implies a \approx \sqrt{ 96.6392 } \implies a \approx 9.8305\)

now, let's use "a" to get angle C

\(\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin( C )}{7}\approx\cfrac{\sin( 55^o )}{9.8305}\implies 9.8305\sin(C)\approx7\sin(55^o) \implies \sin(C)\approx\cfrac{7\sin(55^o)}{9.8305} \\\\\\ C\approx\sin^{-1}\left( ~~ \cfrac{7\sin( 55^o)}{9.8305} ~~\right)\implies \boxed{C\approx 35.7^o}\)

Make sure your calculator is in Degree mode.

Answer:

a) 60.4

b)2.4×10^6

c)1.47×10^-3

Step-by-step explanation:

here is the answer

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

Answer:

Step-by-step explanation:

ok, so this is an infinitly repeating function, so you can write it as:

sqrt(12-x)

Although, x is also equal to sqrt(12-x), so

x = sqrt(12-x), and

x^2 = 12-x

x^2-12+x = 0

now just apply the quadratic formula and you're good

hope i helped :D

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

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Answer:

20.04 is the answer lllaldjcnejchwh

An equation represent the given scenario is 4.99x=100.

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

Given that, Mark has a $100 gift card to buy apps for his smartphone.

Let the number of weeks be x.

Now, 4.99x=100

Therefore, an equation is 4.99x=100.

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"Your question is incomplete, probably the complete question/missing part is:"

Mark has $100 gift card to buy apps for his smartphone. Each week, he buys one new app for $4.99. Write an equation that relates.

Answer:

8

Step-by-step explanation:

Take away the monthly price, since that's going to be included in the total price

20.55 - 4.95 = 15.60

Now, divide the remaining money by the cost per DVD

15.60 / 1.95 = 8

They have bought 8 DVDs

Hope this helps

An exponential function is a function that has the form f(x) = b^x, where b is the base of the exponential function, and x is the exponent.

The base is a positive real number that is not equal to one. An exponential function is a continuous function that is always increasing when the base is greater than one, and always decreasing when the base is between zero and one. The equation for an exponential function with base b is:f(x) = b^xThis equation is the definition of an exponential function with base b.

It describes the relationship between the input variable x and the output variable f(x). When x is positive, the function increases exponentially as b is raised to higher powers.

When x is negative, the function decreases exponentially as b is raised to negative powers.  

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The cost of installing a bush is $7 and the cost of installing a tree is $28

Represent the trees with t and the bushes with b.

So, we have the following equations:

13b + 7t = 287

8b + 12t = 392

Make t the subject in 13b + 7t = 287

t = (287 - 13b)/7

Substitute t = (287 - 13b)/7 in 8b + 12t = 392

8b + 12 * (287 - 13b)/7 = 392

Multiply through by 7

56b + 12 * (287 - 13b) = 2744

Expand

56b + 3444 - 156b = 2744

Collect like terms

56b - 156b = 2744 - 3444

-100b = -700

Divide both sides by -100

b = 7

Substitute b = 7in t = (287 - 13b)/7

t = (287 - 13*7)/7

Evaluate

t = 28

Hence, the cost of installing a bush is $7 and the cost of installing a tree is $28

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Answer:

D. 18yz²

Step-by-step explanation:

Like terms have the same variables and exponents.

-4yz² has as variables y and z².

Only one choice has the same variables and exponents:

D. 18yz²

Adding two numbers combines their values

Subtracting one number from another finds the difference between the two values

Multiplying two numbers gives the product of their values

Dividing one number by another gives the quotient of their values

By performing the same operations on both sides, to maintain the balance and validity of the equation.

Arithmetic Operations with Whole Numbers, Integers, Fractions, and Decimals:

1. Addition: Adding two numbers combines their values. For example,

2 + 3 = 5.

This operation is commutative, meaning the order of numbers doesn't affect the result.

2. Subtraction: Subtracting one number from another finds the difference between the two values. For example,

5 - 3 = 2.

This operation is not commutative since changing the order of numbers will yield a different result.

3. Multiplication: Multiplying two numbers gives the product of their values.

For example, 2 * 3 = 6.

This operation is commutative.

4. Division: Dividing one number by another gives the quotient of their values. For example,

6 / 2 = 3.

Division is not commutative, and it's important to note that division by zero is undefined.

When solving equations, what is done to one side of the equation must also be done to the other side. This is because an equation represents a balance or equality between two expressions. The goal is to isolate the variable on one side of the equation and keep the equation balanced.

By performing the same operation on both sides of the equation, maintain equality. If  only performed an operation on one side, the equation would become unbalanced, and the equality would be lost.

For example, let's solve the equation 2x + 5 = 11 for x:

1. Start with the equation:

2x + 5 = 11.

2. To isolate the term with x, subtract 5 from both sides:

2x + 5 - 5 = 11 - 5.

  This simplifies to:

2x = 6.

3. Finally, divide both sides by 2 to solve for x:

(2x) / 2 = 6 / 2.

  This gives the solution:

x = 3.

If only subtracted 5 from one side of the equation, the equality would be broken, and the solution would be incorrect. By performing the same operations on both sides, maintain the balance and validity of the equation.

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Answer: (a^3-9a^2+5a+14)*(a+1))/(a+2)

Step-by-step explanation:

Find roots (zeroes) of :       F(a) = a4 - 8a3 - 4a2 + 19a + 14

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

The linear function that best represents the relationship between the foot lengths of the elephants and their shoulder height is given as follows:

y = 5.71x - 5.65.

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients of the function are defined as follows:

From the image given at the end of the answer, two points of the line are given as follows:

(15, 80) and (50, 280).

Given two points, the slope is obtained as the change in y divided by the change in x, hence:

m = (280 - 80)/(50 - 15) = 5.71.

Hence:

y = 5.71x + b.

When x = 15, y = 80, hence the intercept b is obtained as follows:

80 = 5.71(15) + b

b = 80 - 5.71(15)

b = -5.65.

Hence the equation is given as follows:

y = 5.71x - 5.65.

The graph is given by the image shown at the end of the answer.

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There are 28 fruits in each pile.

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receives.

Consider the Diophantine equation:

63x + 7 = 23y

63x - 23y = 7

The greatest common divisor 63 and -23 is 1.

Therefore, there exist α, β such that

-23α + 63β = 1

By applying extended Euclidean Algorithm, we have,

1 = (1 × 6) + (- 1 × 5)

1 = (1 × 17) + (3 × 6)

1 = (3 × 23) + (- 4 × 17)

1 = (- 4 × 40) + (7 × 23)

1 = (7 × 63) + (- 11 × 40)

1 = (- 11 × (- 23)) + (- 4 × 63)

1 = (- 11 × (- 23)) + (- 4 × 63)

Multiplying -7 on both sides, we get,

- 7 = (77 × (- 23)) + 28 × 63 )

Thus, we get,

x = 28

y = 77

Thus, there are 28 fruits in each pile.

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Complete question =

There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What is the number of fruits in each pile? (Hint: Consider the Diophantine equation 63x + 7 = 23y.

The answer is unknown number of inches for the long sides is 14.

Let's solve this problem step by step. We know that the short sides of the rectangle are 2 inches. Let's denote the unknown number of inches for the long sides as 'x'. According to the problem, the long sides are three less than this unknown number, so the length of the long sides can be expressed as 'x - 3'.

The area of a rectangle is given by the formula A = length × width. In this case, the area is given as 22 square inches, and the width (short side) is 2 inches. We can now set up the equation:

22 = 2 × (x - 3)

Simplifying the equation, we have:

22 = 2x - 6

Adding 6 to both sides, we get:

28 = 2x

Dividing both sides by 2, we find:

x = 14

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The statement ''the mean return and the standard deviation of returns can be used to describe the distribution of stock.'' is true because the mean return and standard deviation of returns are important statistical measures that describe the distribution of stock, providing information about its average performance and volatility respectively.

The mean return represents the average rate of return over a given period, providing an indication of the stock's profitability. It gives investors an idea of the stock's long-term performance and helps in comparing different stocks or investment options.

The standard deviation of returns, on the other hand, measures the volatility or variability of the stock's returns around the mean. A higher standard deviation indicates greater price fluctuations and a riskier investment, while a lower standard deviation suggests more stable returns.

Together, the mean return and standard deviation provide valuable insights into the distribution of stock returns. They help investors assess the expected return and risk associated with a particular stock, aiding in investment decision-making and portfolio management strategies.

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Answer:

  100°

Step-by-step explanation:

You have two supplementary angles in the ratio 7:2, and you want the measure of their positive difference.

The sum of supplementary angles is 180°. The sum of the ratio units in the ratio 7:2 is 7+2 = 9, so each ratio unit must stand for 180°/9 = 20°.

The difference in ratio units is 7 -2 = 5, so the difference in the angles will be 5·20° = 100°.

The measure of their difference is 100°.

__

Additional comment

The two angles are 7·20° = 140°, and 2·20° = 40°. The difference is 140° -40° = 100°.

Answer:The lateral surface area of the triangular prism will be 84 square feet.correct option is D.

What is the surface area of the triangular prism?Let the sides of the triangle be a, b, c, and a height of H. Then the surface area of the prism is given as SA = H(a + b + c)A triangular prism has bases with three congruent sides, each measuring 4 feet. The height of each triangle is approximately 3.5 feet.The distance between the triangular bases is 7 feet.Then the lateral surface area will beSA = 7 (4 + 4 + 4)SA = 7 x 12SA = 84 square feet. the correct option is D

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

-8(x-6) = 32 (distribute)

-8x+48 = 32 (subtract 48 from both sides)

-8x = -16 (divide)

x = 2

Answer:

x = 2

Step-by-step explanation:

Divide both sides :

−8(x−6)=32

Divide both sides of the eqaution by -8 :

x - 6 = -4

Move the constant to the right :

x - 6 = -4

Move the constant to the right - hand side and change its sign :

x = -4 + 6

Calculate :

x = -4 + 6

Calculate the sum :

x = 2

Therefore, the answer is x = 2

The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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Answer: 2.2 feet

Step-by-step explanation:

If your here from delta math that’s the answer

Answer:

31.5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

NOOOOOPPPPPEEEE

SSSOOORRRYYY   :(:(:(:(:(:(:(

Step-by-step explanation:

Answer:

13/2

Step-by-step explanation:

12−2x+1=0

−2x+13=0

−2x=−13

x= ​−13/-2

x=  13/2

​​  

​​  

As per the given offers of 20% extra free and 15% off the normal price , the pack offers the best value for money is Pack A.

As given in the question,

Different offers on the pack of tea bags :

Pack A  offers :

240 tea bags + 20 % extra free with the price of £4

20% of 240 tea bags

= (20/100) × 240

= 48 extra tea bags

Total tea bags in £4 is (240 +48)

£1 = 288 /4

⇒ £1 = 72 tea bags __(1)

Pack B:

240 tea bags 15 % off the normal price of £4

15% of £4

= (15/100) × 4

=  £0.6

240 tea bags cost is  £(4-0.6)

£3.4 =240

⇒ £1 = 240/3.4

⇒ £1 =70.58 tea bags __(2)

Best value:

From (1) and (2)

Pack A offers the best value for money.

Therefore, for the given offers of 20% extra free and 15% off the normal price , the pack offers the best value for money is Pack A.

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Answer:

b=49

Step-by-step explanation:

27+b=76

76-27= 49

b=49

Answer:

the discount is for 8.40$

Answer:

XZ = 22.5 inches

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{XZ}{PR}\) = \(\frac{XY}{PQ}\) ( substitute values )

\(\frac{XZ}{15}\) = \(\frac{9}{6}\) ( cross- multiply )

6 × XZ = 15 × 9 = 135 ( divide both sides by 6 )

XZ = 22.5 inches