Find the length of the hypotenuse on a right triangle with legs of 5 inches and 8 inches

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Answer:

slope = 4

y intercept = -3

Step-by-step explanation:

The equation is put in slope intercept form

Slope intercept form: y = mx + b

where m = slope and b = y intercept

looking at slope intercept form

4 is located where m should be , meaning that the slope is equal to 4 and

-3 is located where b should be , meaning that the y intercept is -3

Therefore the answers are the first and last option choices.

Answer:

A

Step-by-step explanation:

w has to be lower so we would use

<

since 2000 has to be higher

W < 2000

The two values of x best represent where the two functions are equal will be (12,11)

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Given data;

Linear function passing through;

(1, 2), (3, 4), (6,7) and (8, 9)

Quadratic function passing through

(3, 4), (5, 0), (7, 4) & (8, 9)

Let x be two values of x best represent where the two functions are equal;

The value of the x is obtained from the graph where the two line meets.

The value of x willl be (12,11)

Hence, the two values of x best represent where the two functions are equal will be (12,11)

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Answer:

\(a = 25\% \: of \: 78 \\ a =\frac{25}{100} \times 78 \\ a = \frac{1}{4}\times 78 \\ \boxed{a = 19.5}\)

Answer:

uh i dont know but i think the other person answered thx

Step-by-step explanation:

The roots of 2x^2+4x+7 are -1 + i√5 and -1 - i√5.

A quadratic function has the generic form f(x)=ax²+bx+c. A parabola, a kind of two-dimensional curve, is the graph of a quadratic function. A polynomial function of degree two in one or more variables is known in algebra as a quadratic function, quadratic polynomial, polynomial of degree 2, or simply a quadratic. The phrase "quadratic" in mathematics refers to something that has to do with squares, the squaring operation, terms of the second degree, or equations or formulas that contain such terms. Latin's word for square is quadratus.

Function:

2x² + 4x + 7 = 0

ax² + bx + c = 0

x = \(\frac{-b +-\sqrt{}b^{2}- 4ac }{2a}\)

a = 2

b = 4

c = 7

Using quadratic function,

x = \(\frac{-4\sqrt{} 4^{2} -4(2)(7)}{2(2)}\)

x = \(\frac{-4+-\sqrt{-40} }{4}\)

So,

i = √-1

x = \(\frac{-4+-2i\sqrt{10} }{4}\)

Simplifying,

x = -1 +-√10/2

Roots are:

x = -1 + i√10/2

x = -1 - i√10/2

The roots of 2x^2+4x+7 are -1 + i√5 and -1 - i√5.

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Therefore , the solution of the given problem of percentage comes out to be this amount to the closest dollar, we get $1,042.

A number or measure that is represented as a proportion of 100 is known as a "a%" in statistics. Additionally, the terms "pct," "pct," and "pc" are not commonly used. However, it is commonly denoted by the symbol "%". There are no dimensions; the percentage total is flat. Since a percentage's numerator is almost always 100, percentages are actually integers. To indicate that a number is a percentage, either the percentage symbol (%).

Here,

a. The formula: can be used to calculate the weekly payment.

=> P = (Ar(1+r)ⁿ) / ((1+r)^n - 1)

A = 9900, r = 0.06/12, and n = 48 in this instance (since there are 4 years or 48 months in total).

Substituting these numbers into the formula, we get:

=> P = (99000.005(1+0.005)⁴⁸) / ((1+0.005)⁴⁸ - 1) ≈ $227.88

Therefore, the monthly payment is roughly $227.88.

=> Overall = P*n = $227.88 * 48 = $10,942.24

We arrive at $10,942 by rounding this sum to the closest dollar.

c. The total interest paid over the course of the loan's four-year term is equivalent to the total amount repaid less the loan balance:

Total interest equals the total sum less A, or $10,942 minus $9,900, or $1,042.

Rounding this amount to the closest dollar, we get $1,042.

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Answer:

there is no attached file

Step-by-step explanation:

The four-sided geometric object known as a tetrahedron (WXYZ) has four triangle faces that are joined to one another at their edges. Its vertices are all linked, and its faces are all equilateral triangles.

The three-dimensional geometric structure known as a tetrahedron (WXYZ) has four triangle-shaped faces. The edges of each of the tetrahedron's faces are joined to one another. All of the faces are triangular shapes with equal sides, or equilateral triangles. The tetrahedron is a solid shape because all of its vertices are joined together. The tetrahedron's four vertices are joined to one another, forming a pyramid-like shape. The tetrahedron's four vertices are the only points that do not form the triangle faces. The tetrahedron's four faces come together to produce a point in the middle of the shape. The apex of the tetrahedron is where this point is located. The faces of the tetrahedron are all congruent, or identical, as they are a regular polyhedron.

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Answer:

x = - 3

Step-by-step explanation:

- 8x - 10(3) = - 6

- 8x - 30 = - 6

- 8x - 30 + 30 = - 6 + 30

- 8x = 24

- 8x ÷ - 8 = 24 ÷ - 8

x = - 3

Answer:

the answer is A -3

Step-by-step explanation:

-8x-10y=-6 when y=3

-8x-10(3)=-6

-8x-30=-6

-8x=-6+30

-8x=24

-8x÷8=24÷8

x=-3

Answer:

196

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

The area of one circle is 48 in² if the butcher paper is 24 inches long.

The area of a two-dimensional figure is the total area it takes up. It is the quantity, in other words, that counts the number of unit squares that cover the surface of a closed figure.

Square units—commonly expressed as square inches, square feet, etc.—are the accepted unit of area.

Given that:

3 congruent circles are perfectly fitted in the rectangular banner of length 24 inches,

⇒ diameter of each circle =  length of rectangular banner/3

⇒ d =  24/3

⇒ d =  8

⇒ r =  8/2

⇒ r =  4

Area of circle, A = π r²

A = 3× 4 × 4        (used pi as 3 as instructed in the question)

A = 48 in²

Thus, the area of one circle is 48 in² if the butcher paper is 24 inches long.

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Greetings from Brasil...

Translations

Just add or subtract an m value for all X coordinates as well as add or subtract an n value for all Y coordinates of the figure.

If the figure has 3 points (A, B and C), we would be left with:

A(X, Y) ; B(X₂; Y₂) ; C(X₃; Y₃)

A(X, Y) → A'(X ± m; Y ± n)

B(X₂; Y₂) → B'(X₂ ± m; Y₂ ± n)

C(X₃; Y₃) → C'(X₃ ± m; Y₃ ± n)

in our example - see attached figure - let

m = 4

n = - 1

(these values of m=4 and n=-1 were chosen by me arbitrarily)

A(1; 2) → A'(1 + 4; 2 - 1) ⇒ A'(5; 1)

B(2; 3) → B'(2 + 4; 3 - 1) ⇒ B'(6; 2)

--------------------------------------------------------------------------

Rotations

The expression (formula) for rotation will be:

P(X; Y) → P'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)

Let rotate 90° (counter-clockwise): cos 90 = 0 and sen 90 = 1, then

in our example - see attached figure

A(1; 2) → A''(-2; 1)

B(2; 3) → B''(-3; 2)

______________________________

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Answer:

1)4

2)5

3)6

Step-by-step explanation:

1)2x+5=3x+1

2x-3x=1-5

-1x=-4

x=4

2)3x+2=4x-3

3x-4x=-3-2

-1x=-5

x=5

3)4x-3=3x+3

4x-3x=3+3

1x=6

x=6

Hope it helps

Answer:

24 6

Step-by-step explanation:

""6_6_6&6&6&6__5ddyfouoyfkykyky

Answer:

y= 1/7x-6

Step-by-step explanation:

that is the answer in slope intercept form

The percent of change from $52 to $125 is 140%.

percentage of change = \(\frac{change \ in \ price }{original price} \times 100\)

=(125-52)/ 52  * 100

=140.38%

the percent of change from $52 to $125 is 140%

complete Question :

Dario is finding the percent of change from $52 to $125. Find his mistake and correct it. His mistake: $ 125 - $ 52 over $ 125 = 0.58 or 58%

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Answer:

Sum less than: 7 (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (,4,1), (4,2), & (5,1)

Sum divisible by 5 (1,4), (2,3), (3,2), (4,1)

I'm not sure what you're asking here

Step-by-step explanation:

\( \frac{9}{5c} + 32 = f\)

\( \frac{9}{5c + 32} = f\)

Assuming the former

\( \frac{9}{5c} + 32 = f \\ \frac{9}{5c} = f - 32 \\ \frac{9}{5} = c(f - 32) \\ c = \frac{9}{5(f - 32)} \)

Assuming the latter

\( \frac{9}{5c + 32} = f \\ 9 = f(5c + 32) \\ 9 = 5cf + 32f \\ 9 - 32f = 5cf \\ \frac{9 - 32f}{5f} = c\)

Answer:

630 000

Step-by-step explanation:

We have to find 18% of the number 3 500 000:

\( \frac{3500000 \times 18\%}{100\%} = 630000\)

Answer:

-22 x ( -58/209) = 116/19

Step-by-step explanation:

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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The value of tanQ can be find by the formula  \(\frac{sin\theta}{cos\theta}=tan\theta\)

Table 0 to 360 of trigonometry: The study of the relationship between a triangle's length and angles is the subject of trigonometry, a branch of mathematics. It typically has a right-angled triangle with one angle that is always 90 degrees. It has a plethora of uses in various branches of mathematics. The table of trigonometric functions and formulas can also be used to quickly determine the results of many geometric calculations.

We can find all the trigonometry value of given angle by using the formula  \(\frac{sin\theta}{cos\theta}=tan\theta\)

angle           cos∅          sin∅        tan ∅

-π/2               0                -1             infinity

-π/3                0.5            -0.87       -1.74

-π/6               0.87          -0.5          -0.57

0                      1               0               0

π/6                  0.87        0.5              0.57

π/3                   0.5           0.87         1.74

π/2                    0                1             infinity

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The person needs to have more than 64,900 postage stamps to break the record.

It is given in the question that:-

Current postage stamp collection record = 150,000

Postage stamps with the three friends are 10000, 75000 and 100.

We have to find the number of postage stamps required by him to break the record.

Let the postage stamps with him be x.

Total postage stamps with the three friends = 10000+75000+100 = 85,100

Hence, we can write the inequality,

150000 < 85100 + x

x > 150,000-85,100

x > 64,900

Hence, he needs to have more than 64,900 postage stamps with him to break the record.

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Answer:

Step-by-step explanation:

3a + b = 10

-4a - 2b = 2

6a + 2b = 20

-4a - 2b = 2

2a = 22

a = 11

3(11) + b = 10

33 + b = 10

b = -23

(11, -23)

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

the entrance fee per parent is $25, while the cost per child is $6.

Answer:

Step-by-step explanation:

Simplifying

Step 1

9d3 + c2  If we try to combine like terms, it wont work because the exponents and its coefficients are different so we cant simplify or combine further  

So therefore There are no like terms.

Hope this helps