If $20.00 was spent on Shoes, what was the total amount spent on the shopping trip?

Answer:

1. Given.

2. <5 is supplementary to <4.

2. Angles 5 and 4 are consecutive angles, and by the consecutive angles theorem, the two are supplementary.

3. m<4 + m<5 = 180

3. By the definition of supplementary angles, m<4 + m<5 = 180.

4. m<2 = m<4

4. Angles 2 and 4 are corresponding angles, and by the corresponding angles postulate, the two are congruent. By the definition of congruent angles, m<2 = m<4.

5. m<5 + m<2 = 180

5. Substitution property of equality.

The length of the function y = 3x over the given interval [0, 2] is 3.2 units

For given question,

We have been given a function  y = 3x

We need to find the length of the function on the interval x = 0 to x = 2.

Let f(x) = 3x where f(x) = y

We have  f'(x) = 3,  so  [f'(x)]² = 9.  

Then the arc length is given by,

[tex]\int\limits^a_b {\sqrt{1+[f'(x)]^2} } \, dx\\\\= \int\limits^2_0 {\sqrt{1+9} }\, dx\\\\=\sqrt{10}\\\\ =3.2[/tex]

This means, the arc length is 3.2 units.

Therefore, the length of the function y = 3x over the given interval [0, 2] is 3.2 units

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Answer:

379.94

Step-by-step explanation:

3.14 x 11^2 =  379.94

The area of the given circle is 95 square ft.

Calculation for the Area of the Circle:

It is given in the diagram that,

The diameter of the circle, d = 11 ft.

Now, we know that the radius of a circle is equal to half of the diameter.

Therefore, radius of the given circle, r = 11/2 ft.

The formula for the area of the circle is given as follows,

A = π × r²

Substituting the values, π = 3.1, and r = 11/2, we get,

A = (3.14) × (11/2)²

A =  (3.14) × 30.25

A = 94.985

A ≈ 95

Hence, the area of the given circle with diameter 11 ft. comes out to be 95 ft².

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Answer:

4x-3y+4z

Step-by-step explanation:

There are lot's of process to answer it but i will show one easy way to find the answer.

To find the required answer we need to subtract 5x - 4y + 8z by  x-y + 4z, we get

5x - 4y + 8z

-x   +  y - 4z  [Note: while subtracting we must change the sigh that one       ___________who we are subtracting]

4x-3y+4z which is a required answer

Answer:

4x - 3y + 4z

Step-by-step explanation:

Let the unknown value that we have to add be 'a'.

Let us make an expression like this.

x -y + 4z + a = 5x - 4y + 8z

Now make 'a' the subject of the equation.

a = 5x - 4y + 8z - x + y - 4z

Now combine like terms.

a = 5x - x - 4y + y + 8z - 4z

a = 4x - 3y + 4z

Now let us check whether the answer is correct or wrong.

We can replace 'a' with ( 4x - 3y + 4z ).

Let us see.

x - y + 4z + 4x - 3y + 4z

Combine like terms.

5x - 4y + 8z

Yes, we are getting the same answer!

Therefore,

we need to add 4x - 3y + 4z to get 5x - 4y + 8z to  x - y + 4z.

Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population.

Step 1: He should identify and decide which population he wants to study

Step 2: He should decide the size of the sample. He can do this using a sample size calculator.

Step 3: Select the Sample Randomly using:

It is to be noted that the lottery and Random Techniques can be manual or computer simulated.

The sample bar graph for the above sample is attached.

40% of 60% is not likely to catalyze a change in the needed change. A more proper percentage should be 90%.

Based on the figures given, 72% of the students agree that the dress code is nice (that is , it requires not change).

This means that it is highly unlikely that any changes will be made to the dress code soon.

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The two stadiums are 2,871 meters

A blimp    = point A

stadium 1  = point B

stadium 2 = point C

height of the blimp ,  AD = 1600

depression angle of stadium 1 , ∠y = 71.7°

depression angle of stadium 2 , ∠x = 25.2°

distance between the two stadiums  = d

So, it forms 2 triangles  ABD and ACD,

Using the trigonometric ratios,

tan θ = Altitude / Base

DC = AD × tan (90° - x)

= 1600 × tan( 90° - 25.2° )

= 1600 × cot(25.2°)

= 1600 × 2.13

DB = AD × tan (90° - y)

= 1600 × tan( 90° - 71.7° )

= 1600 × cot(71.7°)

= 1600 × 0.33

∴ d = DC - DB

     = 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]

    = 2,871 meters

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The quadratic graph which has only one zero among the answer choices as given in the task content is; Choice B; y=x^2+8x+16.

It follows from simplification of quadratic equations in a bid to solve for their zeros by means of factorisation that;

The given quadratic equations in answer choice B can be evaluated for its zeroes as follows;

0=x²+8x+16

0 = x² +4x +4x +16

(x+4) (x+4) = 0

Hence, it follows that x = -4 is the only zero of the given quadratic graph in discuss and hence, Choice B is correct.

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Answer: Yes

Step-by-step explanation:

Each value of y maps onto one value of x.

Answer: 17

Step-by-step explanation:

substitute -3 for a and -5 for b. the equation will be[tex]\frac{(-3)^{2}+(-5)^{2} }{-3-(-5)}[/tex]. then when you simplify, you will get [tex]\frac{9+25}{-3+5}[/tex]. finally, add and you will get [tex]\frac{34}{2}[/tex] which is 17.

Answer:

1-21>151 and -2>5

I think so.

The base area of cube B is 25/9  times larger than the base area of cube A.

What is area cubic?

We know that volume of cube with each side of  units is equal to .

First of all, we will find the each side of cube A and B as:

[tex]A^{3} = 27[/tex]

[tex]\sqrt[3]{A^{3} } = \sqrt[3]{27}[/tex]

A = 3

[tex]B^{3} = 125[/tex]

[tex]\sqrt[3]{B^{3} } = \sqrt[3]{125}[/tex]

B = 5

Now, we will find base area of both cubes as:

[tex]\frac{Base area of B}{Base area of A} = \frac{B^{2} }{A^{2} }[/tex]

[tex]\frac{Base area of B}{Base area of A} = \frac{5^{2} }{3^{2} }[/tex]

[tex]\frac{Base area of B}{Base area of A} = \frac{25}{9}[/tex]

Therefore, the base area of cube B is 25/9  times larger than the base area of cube A.

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Based on the shape shown on the graph, the reflection of the shape would be b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.

The coordinate grid that the shape would be reflected across is the y axis to get a reflection in the negative side of the x axis.

The first reflection would be of the point that is (2,2). It would be reflected to become (-2, 2).

The second reflection would be of point (2, 6) which would then be reflected to become (-2, 6).

Finally the third point would be of point (4, 2) which would then become (-4, 2).

In conclusion, the reflection was across the y axis.

Options include:

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The angles and side lengths for both triangles are;

3) A = 36°; B = 54°; C = 90°; a = 7; b = 9.63; c = 4.11

4) A = 64°; B = 26°; C = 90°; a = 1.798; b = 0.88; c = 2

3) From the diagram, we are already given;

B = 54°

C = 90°

a = 7

We know that sum of angles in a triangle is 180° and so;

A = 180 - (90 + 54)

A = 36°

By trigonometric ratios;

b/7 = tan 54

b = 7 * tan 54

b = 7 * 1.376

b = 9.63

7/c = cos 54

c = 7 * cos 54

c = 4.11

4) From the diagram, we are already given;

B = 26°

C = 90°

c = 2

We know that sum of angles in a triangle is 180° and so;

A = 180 - (90 + 26)

A = 64°

By trigonometric ratios;

b/2 = sin 26

b = 2 * sin 26

b = 2 * 0.4384

b = 0.88

a/2 = cos 26

a = 2 * cos 26

a = 1.798

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Answer:

√s(s-a) (s-b) (s-c)

Step-by-step explanation:

123456

herons formula

Answer:

These ratios are not equivalent as Marcia is 2 per friend while Jen is 3 per friend

Step-by-step explanation:

Marcia made 10 bracelets for 5 friends where each friend will be getting 2 bracelets with a 1:2 ratio

Jen made 12 bracelets for 4 friends where each friend will be getting 3 bracelets with a 1:3 ratio

While E will increase, C and D won't change.

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

Due to the fact that the circle's equation is,

Nevertheless, we are aware of the circle's equation.

                           [tex]x^{2}+y^{2}+C x+D y+E=0[/tex]

(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)

                         [tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]

The following equation is compared to the generic equation above.

Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]

As a result, C will be unchanged if r lowers ( because C is free from r)

D won't be effected ( because D is also free from r)

E will, however, rise if r falls.

E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]

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Answer:

[tex]\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}[/tex]

Step-by-step explanation:

Setting the expression equal to zero to find the roots,

[tex]3x^2 +2=0\\\\3x^2 =-2\\\\x^2 =-\frac{2}{3}\\\\x=\pm i\sqrt{\frac{2}{3}}[/tex]

This means that

[tex]3x^2 +2=\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}[/tex]

Step-by-step explanation:

let's say one integer is X ....

so , Another one is (X -4).....

so , X × (X - 4) = 45

x² - 4x - 45 = 0

x² - 9x + 5x - 45 = 0

x(x - 9) +5(x - 9) = 0

(x-9) × (X+5) = 0

x-9 = 0 OR x+5 = 0

X= 9 X= -5

X is not a negative integer ......

so , X = 9

X-4 = 5 .......

Answer:

42

Step-by-step explanation:

let the number be x

4/7 of x

(4/7) × x

4x/7

As stated in the question:

x=4x/7+18

=x-4x/7=18

=(7x-4x)/7=18

=3x/7=18

3x= 18×17

3x= 126

x=126/3

x=42

r = 6
A=πr^2

A = 113.09734

Quarter circle formula = πr^2 / 4

113.09734 / 4 = 28.274335

113.09734 - 28.274335 = 84.824005 is the answer

Answer:

Since <ABC ~= <DBE and <BAC ~= <BDE, the triangle s are similar by angle-angle.

======================================================

Work Shown:

(x hours strength)/(4 hours endurance) = 5/3

x/4 = 5/3

3x = 4*5

3x = 20

x = 20/3

x = (18+2)/3

x = 18/3 + 2/3

x = 6 + 2/3

x = 6 & 2/3

He needs to spend 6 full hours, plus an additional 2/3 of an hour, on strength training.

1 hr = 60 min

2/3 hr = (2/3)*60 min

2/3 hr = 40 min

6 hr + 2/3 hr = 6 hr + 40 min

Therefore, he needs to spend 6 hours, 40 minutes on strength training.

This is equivalent to 6*60+40 = 360+40 = 400 minutes.

Answer:

160

Step-by-step explanation:

I multiplied the amount of each item to get to the answer:

- 8 shirts

- 4 pairs of pants

- 5 pairs of shoes

8 x 4 x 5 = 32 x 5

32 x 5 = 160

hope this helps!

Answer: B

Step-by-step explanation: what I did was I drew a square and folded it if both sides matched i knew that that was a line of symmetry

Answer:

  a = 144

  b = 67

Step-by-step explanation:

Where a transversal meets parallel lines, consecutive interior angles are supplementary.

  a° +36° = 180° . . . . . . consecutive angles are supplementary

  a = 144 . . . . . . . . . . divide by ° and subtract 36

  b° +113° = 180° . . . . . . consecutive angles are supplementary

  b = 67 . . . . . . . . . . divide by ° and subtract 113

The balance after 8 years is $22,942.67

We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:

B = $7500*(1 + 15%/100%)^t

B = $7500*(1.15)^t

The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:

B = $7500*(1.15)^8 = $22,942.67

So the correct option is the last one.

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Answer:

35-17=3y

Step-by-step explanation:

3y+17=35

    -17  -17

3y=35-17