4. Find the value of x.
to
90°

Answer:

$13.52

Step-by-step explanation:

Since we know the tax rate is 6%, we can multiply by 12.75*6/100 to get how much the tax would be added to the total. We get 0.765. And now we add 0.765 and 12.75 to get 13.515. Since it's asking to round to the nearest cent, we get $13.52

Answer:

Parallel: -3

Perpendicular: 1/3

Step-by-step explanation:

First I would convert the equation into slope-intercept form to more easily identify the slope:

[tex]y+4=-3x-3\\ y=-3x-7[/tex]

Slope-intercept form is defined as y=mx+b where m is the slope and b is the y-intercept so we can identify the slope of this line as -3.  

When a line is parallel to another line, this means that they have the same slope, therefore the slope of the line parallel to the equation is -3.  

Perpendicular lines will have slopes that are negative reciprocals of each other, the negative reciprocal of -3 is 1/3; therefore, the slope of the line perpindicular to the equation is 1/3.

Answer:

parallel slope = -3

perpendicular slope: [tex]\sf \bold{\frac{1}{3} }[/tex]

Explanation:

comparing with y = m(x) + b      [ "m" is the slope, "b" is the y-intercept ]

Parallel/Tangent slope:

m₁ = m₂                (same)

Perpendicular/Normal slope:

m₁ * m₂ = -1           (negatively reciprocal)

⇒ Here parallel slope:

⇒ Here perpendicular slope:

The flour needed for 18 dozen cookies is 4.5 pounds.

The number of cookies that can be made with 10 pounds of flour is 40 cookies.

The first step is to determine the flour needed for 1 dozen cookies.

Flour needed = 3/12

Flour neeeded for 18 dozens = 3/12 x 18 = 4.5 pounds

The first step is to determine the number of cookies that can be made with one pound of flour:

12/3 = 4

Number of cookies that can be made iwth 10 pounds of flour = 4 x 10= 40 cookies

To learn more about multiplication, please check: https://brainly.com/question/13814687

Using derivatives, it is found that the correct option is given by:

A. The expression 2x² + 20x + 32 represents the average rate of increase in the total number of clubs in the network across all states.

It is the rate of change of the function over a period of time.

In this problem, the total number of people in the book club after x months is given by:

f(x) = 2x³ + 20x² + 64x + 64

The derivative is given by:

f'(x) = 4x² + 40x + 64 = 2(2x² + 20x² + 32).

It represents the average rate of change across all states, hence option A is correct.

More can be learned about derivatives at https://brainly.com/question/2256078

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Answer:

9 ft.

Step-by-step explanation:

Rectangular Prism’s Volume:

[tex]\displaystyle \large{V=\sf{width*length*height}}[/tex]

Given:

width = 2.1 ft

length = 4 ft

height = j

volume = 75.6 cubic feet

Therefore, apply given information in the formula:

[tex]\displaystyle \large{75.6=2.1*4*j}\\\displaystyle \large{75.6=8.4j}[/tex]

Divide both sides by 8.4 to solve for j.

[tex]\displaystyle \large{\dfrac{75.6}{8.4}=\dfrac{8.4j}{8.4}}\\\displaystyle \large{\dfrac{75.6}{8.4}=j}\\\therefore \displaystyle \large{j=9}[/tex]

Henceforth, the value of j is 9 feet.

Answer:

Subtract the final price from the original price. Divide this number by the original price. Finally, multiply the result by 100.

Step-by-step explanation:

Answer:

1.25 kg

Explanation:

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

======

So, 1250 gram = (1250/1000) kg

We know

Now

Mass in kg:-

Option A

Answer: (2, 4)

Step-by-step explanation:  If it is reflected over the x-axis then the coordinates of A is (2, 4)

[tex] \mathbb\red{4\:turning\:points} [/tex]

Answer:

$48.6

Step-by-step explanation:

35% x 36 = 12.6

36 + 12.6 = $48.6

Answer:

1142

Step-by-step explanation:

(all)2185-(7th)1043=1142(8th)

The major key with 2 flats is :

B♭ major

Answer:

The key of B♭ major has two flats

Step-by-step explanation:

An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.

Hope this helps

~Heaven~

Answer:

c 30ft

Step-by-step explanation:

the shape would be a triangle, so you use the formula w^2+l^2=d^2

width is 16, diagonal is 34

1156=l^2+256

you subtract on both sider to get l^2= 900

square root of 900 is 30

Answer: 2.9

Step-by-step explanation:

area of roof = (.5)(base of house)(left side - right side)

area of roof = (.5)(2)(2.8 - 1.8)

area of roof = (.5)(2)(1) = 1

area of bottom = left height x base of house

area of bottom = 1.8 x 2 = 3.6

area of house = area roof + area bottom

area of house = 1 + 3.6 = 4.6

area without door = area house - area door

area door = door height x door width

area door = 1.7 x 1

area door = 1.7

area without door = 4.6 - 1.7 = 2.9

[tex]~~x^2+10x+25 = 27\\\\\implies x^2+2\cdot 5 x +5^2 = 27\\\\\implies (x+5)^2 = 27\\\\\implies x +5 = \pm\sqrt{27}\\\\\implies x = -5 \pm\sqrt{3\times 9}\\\\\implies x = -5 \pm3\sqrt 3\\\\\text{Hence,}~~ x = -5 + 3 \sqrt 3 ,~~~ x =-5-3\sqrt3[/tex]

Answer:

arc RS = 60°

Step-by-step explanation:

the secant- secant angle P is half the difference of ots intercepted arcs, that is

40° = [tex]\frac{1}{2}[/tex] (QT - RS ) ← multiply both sides by 2 to clear the fraction

80° = QT - RS

80° = 140° - RS ( subtract 140° from both sides )

- 60° = - RS ( multiply both sides by - 1 )

60° = RS

Answer:

2.6 cm is the correct answer

Step-by-step explanation:

Answer:

2.6 cm

Step-by-step explanation:

it is the shortest

Answer:

   1/2

Step-by-step explanation:

The ratio of interest is ...

  (1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2

One-half centimeter squared is half of 1/2 square centimeter.

Answer:

Step-by-step explanation:

Formula

The basic formula is

y = mx + b

m = the slope

b = the y intercept

What you know so far

y = mx + b.

You know that the slope = -3/4

y = - 3/4 x  + b

y intercept

The point is used to find the y intercept.

x = - 8

y = 5

Subtitute these two values into the equation above.

5 = -3/4 * (-8) + b          Multiply the factors on the right

5 =  6 + b                      Subtract 6 from both sides

5 - 6 = b                       Combine

-1 = b

Answer: y = -(3/4) x - 1

Answer:

[tex]\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

Step-by-step explanation:

Use the slope-intercept form.

Slope-intercept form:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

X= (-8)

Y= 5

[tex]\sf{5=-\dfrac{3}{4}*(-8)+b}[/tex]

5=6+b

Subtract the sign.

5-6=b

Solve.

Isolate the term of b from one side of the equation.

Subtract the numbers from left to right.

⇒ 5-6=-1

⇒ -1=b

Change the equation.

⇒ b=-1

So, therefore, the y-intercept is -1.

[tex]\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

10.4

Step-by-step explanation:

cosine rule=[tex]a^{2}=b^{2} +c^{2} -2bc*cosa[/tex]

                [tex](2\sqrt{3}) ^{2}=(x+2)^{2} +x^{2} -2(x+2)x*cos60\\12=x^{2} +4x+4+x^{2} -2x^{2} -4x*\frac{1}{2}\\2x-8=0\\x=4\\Area=\frac{1}{2}absinc\\ = \frac{1}{2}*6*4*sin60\\\\ =6\sqrt{3}\\=10.4(3 sig.fig)[/tex]

Answer:

85 degrees

Step-by-step explanation:

The angles in a quadrilateral add to 360 degrees, so x+109+96+70=360.

This means that x=360-109-96-70=85 degrees

[tex]3x^2y+6xy-9xy^2\\\\=3xy(x+2-3y)[/tex]

Answer:

Below.

Step-by-step explanation:

a) reflection over y-axis.

b) dilation.

Answer:

Step-by-step explanation:

The height of the trapezoidal is 4.33 feet. Then the area of the tarp to cover the pool is 51.96 square feet.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoidal, one pair of opposite sides are parallel.

A hotel builds an isosceles trapezoidal pool for children. It orders a tarp to cover the pool when not in use.

Then the area of the trapezoidal will be

Area = 0.5(sum of parallel sides) height

Then the height of the trapezoidal will be

[tex]\rm h = 5 \times \sin 60 \\\\h = 4.33 \ ft[/tex]

Then the area of the trapezoidal will be

Area = 0.5 × (10 + 12) × 4.33

Area = 51.96 ft²

The area of the tarp to cover the pool is 51.96 square feet.

More about the trapezoidal link is given below.

https://brainly.com/question/8643562

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Answer:

1. 120 degrees

2. 4.3

3. 47.3

Step-by-step explanation:

PLATO/EDMENTUM

Answer:

first question: 24/40

second question: 36/5

Answer:

3. 24/5
4. 36/5

Step-by-step explanation:

For number 3, we can find the answer by multiplying 3/5 by 8, because the rabbits ate 3/5 of the celery in each garden. That's 3/5 eight times.

3/5 · 8/1 = 24/5

For number 4, we apply the rules of multiplication and solve A whole number can turn into a fraction by adding one as the denominator. Next, simply multiply the numerators by the denominators.

12/1 · 3/5 = 36/5

hope this helps!

Answer:

D. 3 1/12

Explanation:

[tex]\rightarrow \sf 4\dfrac{1}{3} -1\dfrac{1}{4}[/tex]

convert into improper fraction

[tex]\rightarrow \sf \dfrac{13}{3} -\dfrac{5}{4}[/tex]

make the denominators same. 12 is the common factor of both 3 and 4

[tex]\rightarrow \sf \dfrac{13(4)}{12} -\dfrac{5(3)}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{52}{12} -\dfrac{15}{12}[/tex]

join both fraction

[tex]\rightarrow \sf \dfrac{52-15}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{37}{12}[/tex]

convert into mixed fraction

[tex]\rightarrow \sf 3\dfrac{1}{12}[/tex]

Answer:

60 inches

Step-by-step explanation:

Add 59+61 =120 which you divide by 2 for the mean of 60.