Pls help. Thank you.

A triangle can be formed with the side length of 3.5 cm, 4.5 cm and 7.5 cm.

The one side of the triangle should always measure lower than the sum of remaining two sides of triangle. Based on this concept, let's check the sum and compare it with remaining side to find the possibility of triangle construction.

Side a + side b > side c

3.5 + 4.5 > 7.5

Adding the digits

8 > 7.5

Side b + side c > side a

4.5 + 7.5 > 3.5

Adding the digits

12 > 3.5

side c + side a > side b

3.5 + 7.5 > 4.5

Adding the digits

11 > 4.5

The sums are always greater than remaining side based on the mentioned lengths. Thus, the triangle can be formed.

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If swimming 1/4 of a mile uses about the same number of calories as running 1 mile.

a.  The distance her sister have to swim to use the same number of calories Gilda used during the marathon is 6 1/2 mile.

b. The number of miles that he would have to run to use the same number of calories used during his swim is 20 miles.

a. Number of miles:

1/4 swim / 1 run = x swim / 26 run

Cross multiply

= 6 1/2 mile

b.  Number of miles:

1/4 swim / 1 run = 5 swim/x

Cross multiply

x = 20 miles

Therefore the number of mile is 6 1/2 miles and 20 miles.

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The complete question is:

Swimming 1/4 of a mile uses about the same number of calories as running 1 mile.

a. Gilda ran a 26 mile marathon. About how far would her sister have to swim

to use the same number of calories Gilda used during the marathon?

b. Juan swims 5 miles a day. About how many miles would he have to run to

use the same number of calories used during his swim?

Answer:

Length = Width = 55

Step-by-step explanation:

Perimeter of rectangle = 2(length + width)

Let x = length; let y = width.

perimeter = 2(x + y)

The perimeter must be 220.

2(x + y) = 220

x + y = 110

y = 110 - x

length = x

width = 110 - x

area = length × width

area = x(110 - x)

area = 110x - x²

A = 110x - x²

Take the first derivative of the area function and set equal to zero. Then solve for x.

A' = 110 - 2x

110 - 2x = 0

2x = 110

x = 55

y = 110 - x = 110 - 55 = 55

Answer: Length = Width = 55

The graph of the system of equations y = -2x + 3 and 2x + 4y = 8 is a pair of straight lines passing through the points (2/3, 5/3).

y = -2x + 3 …. (1)

2x + 4y = 8 …. (2)

Substitute eqn (1) in (2)

2x + 4 (-2x + 3) - 8 = 0

Using the multiplicative distributive property, we get

2x - 8x + 12 = 8

By rearranging the above eqn, we get

2x - 8x = 8 - 12

-6x = - 4

Dividing both sides by -2, we get

3x = 2

x = 2/3

Put the value of x in eqn (1)

y = -2 (2/3) + 3

y = -4/3 + 3

y = (-4 + 9)/3

y = 5/3

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Answer: A=16 B=14 C=34

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4 ans ten both have 20 in common and it jas ro be the first because the next is like 40

Answer: 8th graders should be encouraged to read more. This is because they have the least read pages on average. If you calculate the average number of pages read, the 6th-grade students have a total of 25 pages, the 7th-grade students have a total of 34 and the 8th-grade students have a total of 23. It is because of their lowest total number of pages read that the 8th graders would have the most and should be encouraged to read more.

Sam is 25 years old, and Harry is 5 years old.

If we multiply the age of Harry (5) five times, it will give us 25:

5×5= 25

and if we multiply Harry's age three times and then add up ten, it will give us 25:

(5×3) +10 = 25

15 + 10 = 25

25 = 25

Answer:

b: 59 houses

Step-by-step explanation:

50 + 18% of 50 =

= 50 + 0.18 × 50

= 50 + 9

= 59

Answer:

b

Step-by-step explanation:

The sum of all the internal angle is [tex]$180^{\circ}$[/tex].

The sum of all the internal angle is [tex]$180^{\circ}$[/tex].

[tex]$$\angle A+\angle B+\angle C=180^{\circ}$$[/tex]

1. 34 and 88

[tex]34+88+\angle C=180 \\[/tex]

[tex]122+\angle C=180 \\[/tex]

[tex]\angle C=180-122 \\[/tex]

[tex]\angle C=58^{\circ}[/tex]

2. 45 and 90

[tex]45+90+\angle C=180 \\[/tex]

[tex]135+\angle C=180 \\[/tex]

[tex]\angle C=180-135 \\[/tex]

[tex]\angle C=45^{\circ}[/tex]

3. 10 and 102

[tex]10+102+\angle C=180 \\[/tex]

[tex]112+\angle C=180[/tex]

[tex]\angle C=180-112 \\[/tex]

[tex]\angle C=68^{\circ}[/tex]

4. [tex]$\boldsymbol{x}$[/tex]and 50

[tex]x+50+\angle C=180 \\[/tex]

[tex]\angle C=180-50-x \\[/tex]

[tex]\angle C=(130-x)^{\circ}[/tex]

The complete question is,

Find the measure of the third angle of a triangle given the measures of two angles.

1. 34 and 88

2. 45 and 90

3. 10 and 102

4. x and 50

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The probability of landing on yellow is less than the probability of landing on blue

Probability is the likelihood of a desired event happening.

Since there are one orange, two purple, two yellow, and three blue and the spinner divided into eight equal colored sections.

Thus, we can write the probabilities as follow:

probability of orange = 1/8

probability of purple = 2/8 = 1/4

probability of yellow = 2/8 = 1/4

probability of blue = 3/8

Therefore, the probability of landing on yellow is less than the probability of landing on blue is the true statement

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On solving the provided question, we can say that in the triangle If AL = 2, LS = 6,LM =  4, and ST=x+ 2,  as its given, M is the mid point and LM || ST , ST = 4

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.]

in the triangle

If AL = 2, LS = 6,LM =  4, and ST=x+ 2,

as its given, M is the mid point and LM || ST

so LM = ST

4 = (x + 2)

2 = x

ST = 4

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The production method that breaks a complex job into a series of smaller tasks is called option 1: assembly line.

What is assembly line?

A production method known as an assembly line divides the creation of a good into steps that are finished in a predetermined order.

The most often utilised technique in the mass manufacture of goods is assembly lines. Because they train unskilled workers to complete particular activities, they lower labour costs.

So, in assembly line a large complex job is first divided into small jobs.

Then the trained workers do the smaller jobs and in a fixed order.

Therefore, this process is known as assembly line.

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The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:

List 4.

A sample space is a set that contains all possible outcomes in the context of an experiment.

The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.

Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:

4 x 4 = 16.

This means that the correct list is either the list 3 or the list 4.

As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.

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Answer: List 4

Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.

Also I know the right answer because I got it right

So good luck on y'all's math tests :)

Here is some proof that the answer is List 4

Based on the estimates above, they sold 3 left-handed and 17 right-handed gloves.

17 right-handed gloves and 3 left-handed gloves were sold.

We must create a set of equations to address this issue.

The total number of gloves sold was 12, and the total income was 940.

Gloves for the right hand (x) = 45.

gloves for the left hand (y) = 50.

Equations x+y=20...

45x + 50y = 561 is the first equation (ii)

Equation derived from equation I x + y = 12 – y (iii)

Equation (ii) becomes 45x + 50y = 940

by substituting equation (iii):

x = 12 - u 45

(12 - y) + 50y = 940;

540 - 45y + 50y = 940;

540 + 7y = 561;

7y = 21 y = 3

Equation I becomes x + y = 20 for y = 3, x + 3 = 20x, and 20- x = 17.

Based on the estimates above, they sold 3 left-handed and 17 right-handed gloves.

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Answer: 132 with a remainder of 5

Step-by-step explanation: 137/6 gives us 22 an multiplying 22x6 gives us 132 leaving us with a remainder of 5.

Answer:

He can sell 22 groups of crickets and have 5 left over

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

-5 times 5 is -25

5y is the coefficient of x² in the given polynomial 5x²y.

Polynomial coefficients are the integers preceding a word. Terms are often composed of a number and a variable (for example, 2 x 2 2x2 2x2, where 2 is the number and x is the variable). The coefficient is represented by the number portion. Simply put, it is the leading term's coefficient. The polynomial degree is the largest power of the variable that occurs in the polynomial. The leading phrase is the one with the greatest power of the variable: the term with the greatest degree. The leading coefficient is the leading term's coefficient.

Here,

The coefficient of x^2 in the above polynomial 5x^2y is 5y.

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Answer:51.96 dollars total

Step-by-step explanation:

go to a smart cauculator and add 8.25%  to 48

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

Let's solve ~

Ratio of side of bigger rectangle to that to corresponding side of smaller rectangle (as they are similar) is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{20}{8} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2.5[/tex]

So, the bigger rectangle is a scaled up version of the smaller version with a scale factor of 2.5

So, our required answer will be :

The height of the tree is 43.7 feet

Height deals with the length of the tree vertically.  

The given parameters that will help us solve the problem are

The angle of elevation = 63 degrees

The distance from the foot of the tree to the point is 22 feet

Using the trigonometrical ratio

Tan ∅ = Opposite/Adjacent

Tan63 = h/22⁰

Height of the tree = 22*tan63

The height of the tree is equal = 22*1.9626

Height = 43.7 feet

Therefore the tree has a height of 43.7 feet

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The algebraic expression known as a trinomial contains three terms then the trinomials exists a^2 + b^2 + c^2

What is meant by trinomial?

Three non-zero terms make up a trinomial, which is an algebraic expression. The algebraic expression known as a trinomial contains three terms. An mathematical equation called a trinomial has three terms with on-zero coefficients, each separated by a + or - sign. It is a trinomial if three monomials are divided by addition or subtraction.

When a polynomial has three terms, it is referred to as a trinomial. Its general expression is ax² + bx + c, where a and b are coefficients and c is a constant. In order to factor trinomials, you must follow these three easy steps: Calculate the values of b (middle term) and c. (last term).

A. 8x  

Not a trinomial because, it contains only one term.

B. 3y +5y² + y

A trinomial because, it contains three terms.

C. 6x²

Not a trinomial because, it contains only one term.

D.  + x² +1

A trinomial because, it contains three terms.

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The polynomial equation kx^2 - 2x^4 = 0 has no real solutions, for any non-zero value of k.

The equation kx^2 - 2x^4 = 0 has the form of a polynomial equation, where k and x are variables. To find the nonzero value of k that will cause the equation to have 2 real solutions, we need to analyze the roots of the equation.

The roots of the equation are the values of x that make the equation equal to zero. To find the roots, we can set each factor of the polynomial equal to zero and solve for x:

kx^2 = 0 and 2x^4 = 0

The first equation gives us x = 0, which is not a valid solution, because it is not a real number.

The second equation gives us x^4 = 0, then x = 0. But x = 0 is not a valid solution for this equation, as it is not a real number.

Therefore, the polynomial equation kx^2 - 2x^4 = 0 has no real solutions, for any non-zero value of k.

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The diagram relating to the scatterplot for the data is attached.

I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.

I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.

The slope represents the rate of change arm span based on height. The y intercept is the arm span.

Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

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The answers are:

1. 2(x2 + 6x + 9) = 3 + 18

2. 2(x2 + 6x) = 3

Quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation the fundamental theorem of algebra guarantees that it has at least one solution

Let's take a look at the first choice:

2(x² + 6x + 9) = 3 + 18

Now, we will multiply 2 with every member of the other multiplier on the left side:

2·x² + 2·6x + 2·9 = 3 + 18

2x² + 12x + 18 = 3 + 18

2x² + 12x - 3 = 18 - 18

2x² + 12x - 3 = 0

Let's take a look at the second choice:

2(x² + 6x) = 3

Now, we will multiply 2 with every member of the other multiplier on the left side:

2·x² + 2·6x = 3

2x² + 12x = 3

2x² + 12x - 3 = 0

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Answer:

"Choices A & D": (6 x 10) + (6 x 5). &  (15 x 3) + (15 x 3) are the correct number sentences.

Step-by-step explanation:

 1. Parentheses, ie. (6 + 10) - (11 x 5).

 2. Exponents, ie. [tex]a^{c}[/tex].

 3. Division, ie. 11÷5.

 4. Addition, ie. 12+1.

 5. Subtraction, ie. 10-5.

Number Sentences:

a. (6 x 10) + (6 x 5).

  ii. 6 x 10 = 60.

  iii. 6 x 5 = 30.

  iv. Then we add the products.

  v. 60 + 30 = 90.

  vi. So this choice IS CORRECT.

b. 6 x 10 + 5.

  ii. 6 x 10 = 60.

  iii. Then we add the product to 5.

  iv. 60 + 5 = 65.

  v. 65 DOES NOT equal 90 so this is one of the incorrect number sentences.

c. (3 x 10) + (6 x 5).

  ii. 3 x 10 = 30.

  iii. 6 x 5 = 30.

  iv. Then we add the products.

  v. 30 + 30 = 60.

  vi. 60 DOES NOT equal 90 so this is one of the incorrect number sentences.

d. (15 x 3) + (15 x 3).

  ii. 15 x 3 = 45.

  iii. 15 x 3 = 45.

  iv. Then we add the products.

  v. 45 + 45 = 90.

  vi. So this choice IS CORRECT.

e. 6 + 15.

 i. 6 + 15 = 21.

ii.21 DOES NOT equal 90 so this is one of the incorrect number sentences.

Please let me know if this helped (photo also attached)!!!

Answer: No they cannot

Step-by-step explanation:

6+4.5 = 10.5 which is greater than 7.5 meaning it cannot create a right angled triangle