Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?

Answer:

60

Step-by-step explanation:

Plug in 4 for y

3(4)² + (4) + 8

3(16) + 4 + 8

48 + 12

60

y = 25

Step-by-step explanation:

=> 115 = y + 90 {exterior angle of triangle is equal to the sum of its opposite two interior angles}

=> 115 = y + 90

=> 115-90 =y

=> 115 = y + 90

=> 115-90 =y

=> y = 25

Answer:

x= 180°-115°

= 65° ( adjacent angles in a straight line)

y= 180°-90°-65°

= 25° ( angle sum of a triangle)

Step-by-step explanation:

the given speed is

63 cm / 2 days

1 m = 100 cm

therefore, m = cm/100.

so,

63 cm = 0.63 m

1 day = 24 h

therefore,

2 days = 24×2 = 48 h

so, we have a speed of

0.63 m / 48 h

we need to get the speed of meters in 1 hour.

so, we need to do a normal fraction operation.

e.g. when we have 43/10, but we want to have 1 in the denominator (bottom part).

what do we do ? well, we divide top and bottom (to keep the total value of the fraction unchanged) by 10 and get

4.3/1 = 4.3

we do the same with

0.63 m / 48 h

as we want to have only 1 hour in the denominator.

we divide top and bottom by 48 :

0.63/48 / 1 h = 0.013125 m/h ≈ 0.01 m/h

The amount that would a taxi ride cost for 7 miles is $7.75 and The amount that would a taxi ride cost that is m miles long is $(2.5 + 0.75m).

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.

Given:

The taxi charges $2.50 just for the pickup and then an additional $0.75 per mile driven,

Write the equation for the following statement,

y = 2.5 + 0.75x

Here, y is the total amount and x is the number of miles,

Calculate the cost of the ride, put x = 7

y = 2.5 + 0.75 × 7

y = 7.75

Calculate the cost of the ride, put x = m

y = 2.5 + 0.75m

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Eliminating y right away is easiest. Add -3(equation 1) to equation 2, and add 3(equation 3) to equation 2:

-3(2x + y + 3z) + (-3x + 3y - 2z) = -3(3) + (-8)

-6x - 3y - 9z - 3x + 3y - 2z = -9 - 8

-9x - 11z = -17

9x + 11z = 17   [equation 1]

3(5x - y + 5z) + (-3x + 3y - 2z) = 3(13) + (-8)

15x - 3y + 15z - 3x + 3y - 2z = 39 - 8

12x + 13z = 31   [equation 2]

Eliminating x next is easier than eliminating z. Add -4(equation 1) to 3(equation 2):

-4(9x + 11z) + 3(12x + 13z) = -4(17) + 3(31)

-36x - 44z + 36x + 39z = -68 + 93

-5z = 25

z = 25/(-5)

z = -5

Plug this into either of the previous equations and solve for x :

9x + 11z = 17

9x + 11(-5) = 17

9x - 55 = 17

9x = 72

x = 72/9

x = 8

Plug x and z into any of the 3 original equations and solve for y :

2x + y + 3z = 3

2(8) + y + 3(-5) = 3

16 + y - 15 = 3

1 + y = 3

y = 2

The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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To show that the vector field F(x, y, z) = (-2y, -2x, 7z) is a gradient vector field, we need to find a scalar function V(x, y, z) such that its gradient, ∇V, is equal to F. We can determine the function V by integrating the components of F with respect to their respective variables.

Let's find the function V(x, y, z) by integrating the components of F(x, y, z) = (-2y, -2x, 7z) with respect to their variables.
∫-2y dx = -2xy + g(y, z)
∫-2x dy = -2xy + h(x, z)
∫7z dz = 7/2 z^2 + k(x, y)
We can see that -2xy is a common term in the first two integrals. Similarly, we observe that there are no common terms between the first and third integrals, as well as the second and third integrals. Therefore, we can assume that g(y, z) = h(x, z) = 0, since they will cancel out in the subsequent calculations.
Now, we can rewrite the integrals:
∫-2y dx = -2xy + C1(y, z)
∫-2x dy = -2xy + C2(x, z)
∫7z dz = 7/2 z^2 + C3(x, y)
By comparing these integrals with the components of the gradient vector, we can conclude that ∇V = (-2y, -2x, 7z), where V(x, y, z) = -xy + 7/2 z^2 + C.
To determine the constant C, we use the condition V(0, 0, 0) = 0:
V(0, 0, 0) = -(0)(0) + 7/2 (0)^2 + C = 0
C = 0
Therefore, the function V(x, y, z) that satisfies V(0, 0, 0) = 0 is V(x, y, z) = -xy + 7/2 z^2. Thus, the vector field F(x, y, z) = (-2y, -2x, 7z) is indeed a gradient vector field F = ∇V.

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There are 10 possible digits and 26 possible letters.

To find the answer to this problem we have to multiply 9 as many digits has the hotel reservation number and 26 as many letters it has.

It means:

There are 1,119,214,746 possible reservation numbers.

Answer:

Range: [-25/4, infinite)

Step-by-step explanation:

Not sure if I'm exactly correct, but you can try this answer :).

Answer:

y= 35

Step-by-step explanation:

check the attached file

Answer:

The amount of deposit required is R37,999  for both

The percentage of purchase price for the required deposit is 20%

Therefore, deposit required=20%*R189,995

                                              =R37,999

The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach

I=PRT

balance after payment of deposit=R189,995-R37,999

                                                       =R151,996

R=13.5% per year

T=48 months and 54 months

Interest on 48 month option=151,996*13.5%*48/12

                                              = R82,077.84

Interest on 54 month option=151,996*13.5%*54/12

                                              = R 92,337.57

The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest

Total payment for 48 month option=R151,996+R 92,337.57

                                                          =R  244,333.57

Total payment for 54 month option=R151,996+R82,077.84

                                                          =R 234,073.84

                                              Hope it helped!

The co-terminal angle to 5π/6 in the unit circle is C. 17π/6

Co-terminal angles in a unit circle are angles that share the same terminal point

Given the angle 5π/6, we desire to find the angle that shares the same terminal point in the unit circle. We proceed as follows.

We know that x = 5π/6 + 2π

Taking the L.C.M which is 6, we have that

x = (12π + 5π)/6

x = 17π/6

So, the angle is C. 17π/6

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The diameter of the sphere is 14 cm.

Sphere is a three dimensional object , it has no edges or vertices and is round in shape.

The surface area of the sphere is given by 4πr²

As radius = diameter /2

Surface area =  4π r²

196 π = 4π *(d/2)²

196/4 = d²/4

49 *4 = d²

d = 14 cm

Therefore the diameter of the sphere is 14 cm.

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The step that is the same when bisecting segments and angles is "Draw a ray from the vertex to another point."

When bisecting a segment, you must draw a line that divides the segment into two equal parts. One way to do this is to draw a ray with one endpoint at the midpoint of the segment and the other endpoint at any point beyond the segment. This ray will bisect the segment. When bisecting an angle, you must draw a line that divides the angle into two equal angles. One way to do this is to draw a ray from the vertex of the angle to any point on the angle. This ray will bisect the angle.

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Answer: Mark the intersection points of the arcs.

Step-by-step explanation: Draw a ray with one endpoint. is incorrect

Answer:

9(4x+3)     :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first step in factorising is to look for any common factors.

27

and

36

are both multiples of

3

and

9

.

We use

9

because it is the highest common factor:

Divide

9

out of each term:

27+36x=9(3+4x)

The reverse process would be to use the distributive law to multiply each term in the bracket by

9

.

This will give us the original expression:

9(3+4x)=27+36x

Answer:

its none

Step-by-step explanation:

can i get brainliest please

Answer:

9

Step-by-step explanation:

7 + 9 = 16

9 - 7 = 2

The larger number is 9

Hope that helps!

Answer: \(9\)

Step-by-step Explanation: \(9+7=16\) and \(9-7=2\) and \(9\) is bigger so the answer is \(9\).

Answer:

Your answer is  <

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

find a common denominator and then multiply the numerators accordingly.  

The width of the rectangular walkway is 3 feet around.

The walkway has a uniform width around the rectangle.

Let the width of walkway be x

The total length of the garden and walkway will be (12+2x) feet

The total width of the walkway and garden would be (8+2x) feet

Area of the garden and the walkway together are 252 square

Let’s express this mathematically:

(8+2x)(12+2x) = 252

Let’s open the brackets;

96+ 16x+ 24x + 4x^2 = 252

4x^2 + 40x + 96 = 252

4x^2 + 40x + 96-252 = 0

4x^2 + 40x - 156 = 0

Let’s divide all through by 10. We have;

x^2 + 10x -39 = 0

X^2 +13x-3x-39 = 0

x(x + 13) -3(x+ 13) = 0

(x-3)(x + 13) = 0

x -3 = 0 or x + 13 = 0

x = 3 or -13

We ignore x = -13 since width cannot be negative in size

Therefore, the width of the rectangular walkway is 3 feet around.

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Answer:

see below

Step-by-step explanation:

We can use the law of sines

sin 80             sin B

--------------- = -------------

31                       14

Using cross products

14 sin 80 = 31 sin B

14/31  sin 80 = sin B

.984807753 = sin B

Taking the inverse sin of each side

sin ^ -1 ( .444751888) =  B

26.41 = B

The sum of the angles of a triangle is 180

A+B+C = 180

80 + 26.41 + C =180

106.41 + C = 180

C = 73.59

We can use the law of sines to find c

sin 80             sin 73.59

--------------- = -------------

31                       c

c sin 80 = 31 sin 73.59

c =  31 sin 73.59 / sin 80

c = 30.20

AB = 30.20

Given:

The above expression can be expressed as,

Answer:

b) 42,610

Step-by-step explanation:

46089 - 3479 = 42610

Step-by-step explanation:

Let the unknown number be x

it means 46089-X should give you the number 3479, since the question could be interpreted as "by how much should you reduce 46089 to get 3479

As a result, 46089 - X = 3479

collecting like terms, X = 46089 - 3479

hence, X = 42610

therefore, the number is 42610

hope this was helpful?...

Answer:

A tire is 24 inches tall. This is an example of height. It has a circumference of 75.36.

Step-by-step explanation:

All you have to do to find the circumference of a circle is times its height by 3.14, or pi.

Answer: Parallel

Step-by-step explanation:

Answer:

The line(s) are parallel

Answer:

b and c

Step-by-step explanation:

i got it right on my khan academy

1.1.1 Mr Mdluli's basic salary is R45 750.1.1.2 Mrs Mdluli's bank account number is 0224160775.

Amount is a term used to describe a quantity or total of something, usually expressed in numerical terms. It can refer to anything from the number of items of a certain type that are present, to the sum of money required to purchase something. Amount is often used in contrast to the concept of quantity, which is used to describe the number of individual items (or particles) present.

1.1.3 UIF stands for Unemployment Insurance Fund.
1.1.4 Net Salary is the gross salary minus all deductions such as taxes, insurance contributions, etc.
1.1.5 The UIF that will reflect on Mrs Mdluli's salary slip is R252.
1.1.6 The company's monthly salary roll is R257 900.
1.1.7 The percentage difference between Mr Mdluli and Mrs Mdluli's basic salaries is 28%.

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Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.

Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.

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