How many different triangles can you make if you are given the measurements for 2 sides and a angle that is not between those sides?

The value of the expressions are not equal

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

p = -3²

q = ( -3 )²

On simplifying the equations , we get

The value of p = -9

The value of q = 9

So , the value of p and q are not equal

Hence , the equations are not equal

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

Step-by-step explanation:

The total number of candies in the bag is 4 cherry + 8 orange + 2 lemon + 8 grape + 6 sour raspberry = 28 candies.

The probability of drawing a cherry on the first draw is 4/28, and the probability of drawing a sour raspberry on the second draw given that a cherry was drawn first is 6/27 (since there are 27 candies left in the bag after the first draw).

The probability of drawing a sour raspberry on the first draw is 6/28, and the probability of drawing a cherry on the second draw given that a sour raspberry was drawn first is 4/27.

Therefore, the probability of drawing one cherry and one sour raspberry in either order is:

(4/28) * (6/27) + (6/28) * (4/27) = 24/756 + 24/756 = 48/756

So the probability of drawing one cherry and one sour raspberry in either order is 48/756.

The value of unknown number is 57.8.

Two or more expressions with an Equal sign is called as Equation.

Let x be the unknown number.

Sum of a number and its equivalent to 115.6

The equivalent number value will be also same as the unknown number.

x+x=115.6

2x=115.6

Divide both sides by 2

x=115.6/2

x=57.8

Hence, the value of unknown number is 57.8.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Expression of given expression as simple fraction is ax/3y.

Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given expression

(ax + ay)/xy² . x²y/(3x + 3y)

simplifying

(ax + ay)/y . x/(3x + 3y)

Factoring out common factors

a(x + y)/y . x/3(x + y)

Simplifying

= ax/3y

Hence, given expression as simple fraction is ax/3y.

Learn more about fraction here:

https://brainly.com/question/1301963

#SPJ1

Answer:

as x approaches - infinity g(x) approaches - infinity and as x approaches infinity g(x) approaches infinity

Step-by-step explanation:

so the third answer

The value of the equation is A = ( 50.4 )x - ( 35.2 )y - 3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 8 ( 6.3x - 4.4y ) - 3   be equation (1)

On simplifying the equation , we get

By distributive property ,

A = 8 ( 6.3x ) - 8 ( 4.4y ) - 3

On further simplification , we get

A = ( 50.4 )x - ( 35.2 )y - 3

Hence , the equation is A = ( 50.4 )x - ( 35.2 )y - 3

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The total number of ways medals be awarded when at most one American gets a medal is equal to 40 ways.

Total number of sprinters in the Olympic of 100-meter finals = 8

Total number of sprinters Americans has in Olympic = 3

Number of sprinters of other country = 8 - 3

                                                              = 5

Number of medals be awarded = 3

Condition for medals to be awarded :

Possibility for American to get medals at most one:

Either 0 or 1.

Number of ways medals be awarded

= ⁵C₂³C₁ + ⁵C₃³C₀

= (5!/ 3!2!)(3!/2!1!) + ( 5!/ 3!2!)( 3! / 3!0!)

= (10 × 3) + ( 10 × 1 )

= 30 + 10

= 40 ways

Therefore, the number of ways medals be awarded with the given condition is equal to 40.

Learn more about ways here

brainly.com/question/11823283

#SPJ4

According to the information, it can be inferred that Amit has to drive at a speed of at least 60 km/h to get to work on time.

To calculate the speed that Amit must have after the traffic jam to arrive at work on time we must perform the following mathematical operation:

speed = 60 * 5 / 18 m/s = 50 / 3 m/s

distance = 5000m

time = 300 seconds = 5 minutes

According to the above he traveled 5 km distance in 5 minutes. On the other hand to calculate the speed that the rest of the journey must have we must:

speed = 15 * 5 /18 = 25/6 m/s

distance = 1000m

time = 240 seconds = 4 minutes

Distance left = (24km -6km = 18km= 18000m

Time left = 21 minutes = 1260 seconds

         Speed = 14.28m/s

         Speed = 14.28 × 18/5 kmph

         Speed = 51.42 kmph

Learn more about speed in: https://brainly.com/question/28224010

#SPJ1

Answer:

£1 = €1.21875

Step-by-step explanation:

We have the following exchange rates

$1 = £0.64

and

$1 = €0.78

Equating the two values on the right side since they both convert to $1 gives us

£0.64 = €0.78

Divide both sides by 0.64 to see how much a pound is worth when converted to euros

0.64/0.64 = 0.78/0.64

£1 = €1.21875

Answer:

y = -x + 5

Step-by-step explanation:

To find the equation of the line that is perpendicular to the line y = x + 6 and passes through the point (-4, -1), we'll use the slope-point form of the equation of a line. The slope of a line perpendicular to y = x + 6 is -1, which we can find using the negative reciprocal of the slope of y = x + 6. The slope of y = x + 6 is 1. The negative reciprocal of 1 is -1.

So the equation of the line perpendicular to y = x + 6 that passes through the point (-4, -1) is given by:

y - (-1) = -1(x - (-4))

Expanding and simplifying the right-hand side, we get:

y + 1 = -x + 4

y = -x + 5

Maximum possible income from sales is $2.6

Linear Programming also called linear optimization, is a method to achieve the best outcome(such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear Programming is a special case of mathematical programming (also known as mathematical optimization).

Linear Programming is used in many industries such as energy, telecommunication, transportation and manufacturing.

This linear function or objective function consists of linear equality and inequality constraints.

Given:

$15 to spend on golf balls x costing $1 each and

tennis balls y, 60 cents each.

Buy at least 16 together.

x + y ≥ 16

x + 0.6 ≤ 15

x - y ≥ 1

x = 9 and y = 7

[tex]9 + 0.6 \times 7[/tex]

9 + 4.2

13.2 < 15

x = 10 and y = 8

10 + 0.6 × 8

10 + 4.8

14.8 < 15

Maximum number of golf balls x = 10

And tennis balls y = 8

Greatest number of balls he can buy = 10 + 8 = 18

Maximum possible income = 10×0.1 + 8 × 0.2 = 1 + 1.6 = $2.6

To know about Linear Programming visit:

brainly.com/question/29405477

#SPJ1

Answer:

Step-by-step explanation:

99.5 x 54 add 10

By using the permutation formula, it can be concluded that there are 40320 ways to schedule the bands' appearances.

Permutations are different arrangements of elements formed from n elements, taken from n or some elements. In permutation, arrangement, or order matter.

P(n,r) = n! / (n-r)!  where:

n = number of objects

r = number of objects selected

If we want to know the ways to schedule the bands' appearances, it means that the arrangement matter. Thus we have to use the permutation formula:

P(n,r) = n! / (n-r)!

P(8,8) = 8! / (8 - 8)!

= 8!

= 40320 ways

Thus, there are 40320 ways to schedule the bands' appearances.

To learn more about permutation, click here: https://brainly.com/question/1216161

#SPJ4

On solving the provided question, we can say that in the provide quadrilateral DE = 132, DW = 74, EY = 70.

In terms of geometry, a quadrilateral is a four-sided polygon with four edges and four corners. Its origins are in the Latin terms quadri and latus (meaning "side"). A rectangle is a two-dimensional form with four sides, four vertices, and four corners.

Two main types of concave and convex exist. Convex quadrilaterals also have a number of subclasses, such as trapezoids, parallelograms, rectangles, rhombuses, and squares. A rectangle is a two dimensional shape with four straight sides. Quadrilaterals come in many various shapes, such as parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,in the provide quadrilateral

The perpendicular bisectors of Its sides are X W, Y W, and Z W. They meet at a single point W.

from the question. So EW = DW = FW

and DZ=EZ

SO DE = 2 (DZ) = 2 × 66 = 132

EW = FW = DW = 74.

at At right triangle,  EWY.

EW= 74, YW=24

Using Pythagoras theorem,

So EX² =  EW²- WY² = 74² - 24² = 4900

EY = √4900 = 70.

To know more about quadrilateral visit:

brainly.com/question/29934291

#SPJ1

5 : 3  is the ratio of cooking times for the rice to pasta .

What does a math ratio mean?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.

                                   You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Rice takes 20 minutes to cook

pasta takes 12

the ratio of cooking times for the rice to pasta = 20  :  12

                                                                           = 5 : 3

Learn more about the ratio

brainly.com/question/1504221

#SPJ4

The exact value of the expression is 7√33/33

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given expression is sec[sin⁻¹(-4/7)]

We need to fine the exact value of the expression

sec[sin⁻¹(-4/7)]=√1-(-4/7)²/1-(-4/7)²

=√(1-16/49)/1-16/49

=√(1-16/49)/1-16/49

=√33/7/33/49

=√33/7×49/33

=7√33/33

Hence, the exact value of the expression is 7√33/33

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer: a - a / (7a/3 - 21b)

Step-by-step explanation:

First, let's simplify the numerator:

(a^2 - 3ab) / 3b = a^2/3b - 3ab/3b = a^2/3b - a

Next, we'll simplify the denominator:

7a - 21b = 7a/3 - 7b

Now, we can simplify the entire expression:

(a^2/3b - a) / (7a/3 - 7b) = (3b * a^2/3b - 3b * a) / (7a - 21b * 3) = a - a / (7a/3 - 21b)

The inverse of the equation is f-1(x) = 2/(x - 3)

From the question, we have the following parameters that can be used in our computation:

f(x) = (3x + 2)/x

Express as

y = (3x + 2)/x

Swap x and y

This gives

x = (3y + 2)/y

So, we have

xy = 3y + 2

This gives

y(x - 3) = 2

Make y the subject

y = 2/(x - 3)

Hence, the inverse is f-1(x) = 2/(x - 3)

Read more about inverse function at

https://brainly.com/question/3831584

#SPJ1

To find out how much each G costs for each company, we can use this equation:

Fitting the company's number into the equation would look like this:

So, company A charges $5 for each G purchased.

Therefore, company A charges $5 for each G, while company B charges $5.42, making company A have a better rate.

A parallelogram with vertices O, A, B, and C can be represented as O + a = B, and O + b = A.

a) MT is the midpoint of BT, which can be represented as (O + b + B)/2 = (O + B)/2 + (b/2). Therefore, MT = (b/2).

b) TN is the midpoint of AT, which can be represented as (O + A)/2 + (a/2). Therefore, TN = (a/2).

c) MN can be represented as B - A = a - b. Therefore, MN = a - b.

d) P is the midpoint of MN, which we already found to be a - b. Therefore, the position vector of P is (a - b)/2.

learn more about parallelogram midpoint vectors: https://brainly.com/question/21692158

#SPJ1

Answer: look at the image, and u better give me brainliest for this

Step-by-step explanation:

The solution of the given equation is -4.

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

The given equations is 3|5 - x| + 2 = 29

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

3|5 - x| =27

5-x=9

x=-4

Therefore, the solution of an equation is -4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

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

Find the solution set for the equation below.

3|5 - x| + 2 = 29

The fraction of the whole circle denoting the sector is 23/72.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

The whole circle has an angle of = 360°.

The measure of the sector of the angle is =  115°.

The fractional value of the sector is -

Measure of Sector angle / Measure of whole circle angle

Substitute the value into the expression -

115/360

23/72

Therefore, the fraction is 23/72.

To learn more about fraction from the given link

https://brainly.com/question/20323470

#SPJ1

Using probability we know that there is a 43% chance that the 27th person in the line would be a boy.

Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

The study of events that fit into a probability distribution is known as statistics.

So, we know that:

The boys are 17.

The girls are 22.

Probability formula: P(E) = Favourable events/Total events

Then, the probability that the 27th person is a boy:

P(E) = Favourable events/Total events

P(E) = 17/39

P(E) = 0.43

P(E) = 43%

Therefore, using probability we know that there is a 43% chance that the 27th person in the line would be a boy.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ4

Two cars, an Audi and a Tesla, travel a 100 mile journey. The fastest car is Audi by 30mph.

While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."

The formula of the speed is given as:

Speed = distance / time

For Audi:

Speed = 100 / 2 = 50 mph

For Tesla:

Speed = 100 / 5 = 20mph

The difference between their speeds is:

50 - 20 = 30mph

Hence, the fastest car is Audi by 30mph.

Learn more about distance here:

https://brainly.com/question/4199102

#SPJ1

The value of 'x' in the expression [tex]log_{7}(log_2(3x - 2) ) = 1[/tex] is, 1/3.

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, A logarithmic expression [tex]log_{7}(log_2(3x - 2) ) = 1[/tex].

[tex]log_7^{log_{7}(log_2(3x - 2) )} = log_71[/tex].

[tex]log_2(3x - 2) = log_71[/tex].       (7⁰ = 1)

[tex]log_2(3x - 2) = 0[/tex].

[tex]\frac{log_23x}{log_22} = 0[/tex].

[tex]log_23x = 0[/tex].

2⁰ = 3x.

1 = 3x.

x = 1/3.

learn more about logarithms here :
https://brainly.com/question/30085872

#SPJ1

Answer:

30025

Step-by-step explanation:

5² × 1201

5^2 = 25

25 x 1201 = 30025

The slope from points (5, -7) and (6, -4) is 3.

The slope of a line represents the stiffness or direction of a line. It is also defined as the change in the y-coordinate with respect to the x-coordinate.

The slope of a line from the points (x₁, y₁) and (x₂, y₂) is given by

Here we have

Points (5, -7) and (6, -4)

As we slope of the line is [y₂ - y₁]/[x₂ - x₁]  

Take (5, -7) = (x₁, y₁) and (6, -4) = (x₂, y₂)    

Slope from given points = [-4 - (-7) ]/[6 - 5]    

= [-4 + 7) ]/[1]  = 3    

Therefore,

The slope from points (5, -7) and (6, -4) is 3.

Learn more about Slope of lines at

https://brainly.com/question/28831181

#SPJ1

I think the answer is

1/5 or 20%

Sorry if I'm wrong