solve the following quadratic equation by completing the square. if you need to round to the nearest tenth. x² - 20x = -75

Answer:

28:35, which in fraction form is 28/35, but simplified is 4/5 or 4:5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

multiplying 35.22 with r since this amount is charged for every repair and then adding 62 since that is the additional fee

Answer:

(B). 38 cm³

Step-by-step explanation:

V = a² [tex]\frac{h}{3}[/tex]

a = 4.5 cm

h² = (6.1)² - ( [tex]\frac{4.5}{2}[/tex] )² = 32.1475

h = √32.1475 ≈ 5.67

V = (4.5)²( [tex]\frac{\sqrt{32.1475} }{3}[/tex] ) ≈ 38.27 ≈ 38 cm³

Answer:

[tex]38 cm^3[/tex]

Step-by-step explanation:

Given the slant height and a base side length of a right square pyramid, we can use these numbers to solve for the volume.

The formula for the volume of a square pyramid is generally known as:

[tex]V = 1/3 a^2h[/tex], where the variable 'a' represents the base side length and 'h' represents the height.

Since we are given the slant height, we can use Pythagorean's Theorem to calculate the height (non-slanted) when given a base side length by using the equation below:

[tex]a^2+b^2=c^2[/tex]

This is a special case because this is a right square pyramid, meaning we can use C squared and substitute that for the given slant height, 6.1 cm. The leg of the right triangle, which is [tex]\frac{s}{2}[/tex], takes place of 'b' which is 4.5. Now, given all of this, we can plug in our known values. Height is what we are solving.

[tex]h^2+\left(\frac{4.5}{2}\right)^2=6.1^2[/tex]

Now we will simplify and solve everything, and we get h; or the height, which equals 5.668977.

Now we can finally use the general formula to solve the volume of a square pyramid.

[tex]V = 1/3 a^2h[/tex]

Let's plug in everything now to find the volume — which we know that the height is approximately 5.66, and the base side length is 4.5.

[tex]V=\frac{1}{3}\left(4.5\right)^2\left(5.66\right)[/tex]

The volume from this formula equates to 38.205 cm³, or roughly 38 cm³, meaning the answer is B.

Answer:

The answer is "Angle-Angle-Angle".

Step-by-step explanation:

Please find the image file in the attachment.

The angle of an image, composed of two rays at such a popular end-state, could be described. Angles with a tape measure are measured in degrees, When the three angles congruence between two triangles, that is NOT the congruence of a triangle. It seems to be the same (and similar form, yet we know nothing of their scale. We may call us comparable.

Answer: A. $907.10

B. $628.236

Step-by-step explanation:

For the first 40 hours, Ms.Donaldson will earn: = 40 × $18.80 = $752.0

We are informed that Ms.Donaldson worked 45.5 hours, this means that she worked an extra 5.5 hours. The amount paid for the extra hour will be:

= 5.5 × 1.5 × 18.8

= $155.10

The amount she earned will be:

= $752.0 + $155.10

= $907.10

B. A health incurrence payment of $34.55 was deducted from Ms.Donaldson's earnings for the week. Therefore, the amount she will have after the deduction will be:

= $907.10 - $34.55

= $872.55

After the incurrence deduction, payroll taxes equal to 28% of the balance were deducted. What was the amount that Ms.Donaldson received afterwards?

This will be:

= $872.55 - (28% × $872.55)

= $872.55 - (0.28 × $872.55)

= $872.55 - $244.314

= $628.236

Answer:

The measure of a base angle of one of the triangles is 54°

Step-by-step explanation:

In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles

∵ The total number of degrees in the center is 360°

∵ All five vertex angles meeting at the center are congruent

→ To find the measure of each vertex divide 360° by 5

∴ The measure of each vertex = 360° ÷ 5

∴ The measure of each vertex = 72°

∵ The base angles are equal in the isosceles triangle

∵ The sum of the measures of the angles of a triangle is 180°

→ Assume that the measure of each base angle is x

∴ x + x + 72° = 180°

∴ 2x + 72° = 180°

→ Subtract 72 from both sides

∵ 2x + 72 - 72 = 180 - 72

∴ 2x = 108

→ Divide both sides by 2 to find x

∴ x = 54

∴ The measure of each base angle = 54°

∴ The measure of a base angle of one of the triangles is 54°

Answer:

2 : 1

Step-by-step explanation:

Recipe :

Sugar = 2 cups

Flour = 3 cups

Butter = 1 cup

Chocolate chips = 1/2 cup

ratio of flour and butter to sugar?

Total cups of flour plus butter = (3 + 1) = 4 cups

Cups of sugar = 2 cups

ratio of flour and butter to sugar :

4 cups : 2 cups

= 2 : 1

Answer:

7560

Step-by-step explanation:

view picture

Answer:

Decimal: 5.4

Fraction: 27/5

Answer:

2

Step-by-step explanation:

1. slope formula: [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]

2. [tex]\frac{9-3}{4-1}[/tex]

3. [tex]\frac{6}{3}[/tex]

4. 2

Answer:

Number of adult tickets sold = 128

Number of student tickets sold = 384

Step-by-step explanation:

Given that:

There are two types of tickets:

1. Student tickets

2. Adult tickets

As per the question statement, number of student tickets sold were three times the adult tickets sold.

Let the number of adult tickets sold = [tex]x[/tex]

So, number of students tickets sold = [tex]3x[/tex]

Total number of tickets sold = Number of adult tickets sold + Number of student tickets sold = 512

[tex]\Rightarrow x+3x=512\\\Rightarrow 4x=512\\\Rightarrow x = 128[/tex]

Therefore, the answer is:

Number of adult tickets sold = 128

Number of student tickets sold = [tex]3\times 128[/tex] = 384

Responder:

1/15

Explicación paso a paso:

Dado que :

Número bolas verdes = 3

Número de bolas rojas = 5

Número de bolas azules = 2

Dibujo sin reemplazo; probabilidad de que el primero sea azul, el segundo sea verde

Probabilidad = resultado requerido / Total de resultados posibles

Resultados posibles totales = 3 + 5 + 2 = 10

P (1er azul) = número de azules / 10

P (1er azul) = 2/10 = 1/5

Sin reemplazo :

Total restante = 10 - 1 = 9

P (segundo verde) = número de verdes / 9 = 3/9

Probabilidad del primer azul y del segundo verde:

1/5 * 3/9 = 3/45 = 1/15

The probability that the first is blue and the second is green is 1/15

Probability is the likelihood or chance that an event will occur.

If a box contains 3 green balls, 5 red balls and 2 blue balls, the total number of balls is 10balls

Learn more on probability here: https://brainly.com/question/24756209

Answer:

Answer is B

Step-by-step explanation:

y = -1

[tex]\qquad\bullet\quad {:}\dashrightarrow\rm \sqrt [2]{1845}}[/tex]

[tex]\qquad\bullet\quad {:}\dashrightarrow\rm\sqrt [2]{1845}[/tex]

[tex]\qquad\bullet\quad {:}\dashrightarrow\rm sqrt[345]{2096}[/tex]

fraction rules

[tex]\boxed{\begin{minipage}{6 cm}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{B} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{minipage}}[/tex]

Given:

The measurement of the angles of a triangle are 3b,2b,and 4b.

To find:

The smallest angle.

Solution:

According to the angle sum property, the sum of all angles of a triangle is 180 degrees.

[tex]3b+2b+4b=180^{\circ}[/tex]           [Angle sum property]

[tex]9b=180^{\circ}[/tex]

Divide both sides by 9.

[tex]b=20^{\circ}[/tex]

Now,

[tex]3b=3(20^{\circ})=60^{\circ}[/tex]

[tex]2b=2(20^{\circ})=40^{\circ}[/tex]

[tex]3b=4(20^{\circ})=80^{\circ}[/tex]

Therefore, the smallest angle is 40 degrees.

12miles

Step-by-step explanation:

this is because 28 divide by 7 is 4 so 4 a day is 12 for 3 days

Answer:

c

Step-by-step explanation:

I said so and I did maths

Answer:

80 boxes.

Step-by-step explanation:

Total CDs available = 7200CDs

Amount of CD in each box = 90 CDs

To get the number of boxed Ty will fill, we will say;

90CDs = 1box

7200 CDs = x

Cross multiply

90 * x = 7200 * 1

90x = 7200

x = 7200/90

x = 80

Hence Ty will fill total of 80 boxes.

Answer:

80 CDS

Step-by-step explanation:

Total CDs available = 7200CDs

Amount of CD in each box = 90 CDs

To get the number of boxed Ty will fill, we will say;

90CDs = 1box

7200 CDs = x

Cross multiply

90 * x = 7200 * 1

90x = 7200

x = 7200/90

x = 80

Hence Ty will fill total of 80 boxes.

Answer:

solve it

Step-by-step explanation:

Step-by-step explanation:

a. 4/7t =56

4t= 392

t=98

b. 4=1/2 b -12

4+12=1/2 b

16=1/2 b

so, b =32

Answer:

Equation

1.95+1.6m ≤ 22

If solved

m ≤ 12.53

Step-by-step explanation:

SO we know the initial fee is 1.95

and for every mile driven, its $1.6

And we know that Shelly can spend less then or exactly the price of 22.

We know that m is miles driven

So we can make an equation

1.95+1.6m ≤ 22

1.95 can’t change since initial fee

1.6*m becuase its 1.6 for every mile driven and since “m” miles were driven, we multiply that by 1.6

Now it can’t go over 22 but it could be less than 22.

So this equation makes sense

If we solve it, it would be about  m ≤ 12.53 miles

Answer:

4095

Step-by-step explanation:

Answer:

What events or steps are described?

Do these things need to occur in a particular order?

Step-by-step explanation:

its a 3g b but it's become to 4G ok and 4 -5 is -1 ok that's always question is

Answer:

32 has exponent of 3

55 has exponent of 2

Step-by-step explanation:

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) [tex]\cdot[/tex] 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

[tex](3x + 7.5) \cdot 106\% = $126.81[/tex]

[tex](3x + 7.5) \cdot \frac{106}{100} = $126.81[/tex]

[tex]3x + 7.5 = $126.81 \cdot \frac {50}{53}[/tex]

[tex]3x = $119.6 - 7.5[/tex]

[tex]3x = 112.1[/tex]

[tex]x \approx \$37[/tex]

Hope this helped!

Answer:

uepwphdohdohdq

Step-by-step explanation:

annyqjlxyogqoyhakvykblyabl,lbaylbaoyhoqhshyvjbaxvleoqo

Answer:

x= 1

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x−2=2x

Step 1: Subtract 2x from both sides.

4x−2−2x=2x−2x

2x−2=0

Step 2: Add 2 to both sides.

2x−2+2=0+2

2x=2

Step 3: Divide both sides by 2.

2x

2

=

2

2

x=1