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Trigonometry dilation

Answer:

You may use cos 60° or sin 30°. Let's use cos 60°.

cos 60° = opp/hyp = (2 mm)/j

or

j = (2 mm)/(cos 60°) = 4 mm

Answer:

area of circle=π[tex]r^{2}[/tex]

=3.14*(6)^2

=3.14*36

=113.04 cm^2

perimeter of circle=2πr

=2*3.14*6

=37.68 cm

Step-by-step explanation:

Answer:

1/2 and 3

Step-by-step explanation:

The quadratic formula is as given:

 (  -b±√(b^2-4ac)  )/2a

To use it, plug in the a,b and c values.

ax^2+bx+c

In this case a is equal to 2, b is equal to -7, and c is equal to 3

plugging it into our formula gives us:

(-(-7)±√(-7^2-4*2*3)  )/2*2

Which is equal to:

7±√(49-24) / 4

= 7±√25 / 4

=7±5 / 4

=2/4, 12/4= 1/2, 3

Answer:

132 cm^2

Step-by-step explanation:

Area of trapezoid = 1/2 ( (7 + 19) * 8) = 26*4 = 104 cm^2

Area of rectangle = 4 x 7 = 28 cm^2

104 cm^2 + 28 cm^2 = 132 cm^2

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

381.51 in^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 9/2 = 4.5

4/3 x 3.14 x 4.5^3 = 381.51 in^3

Answer:

144

Step-by-step explanation:

4 x 4 = 16 x 2 = 32

7 x 4 = 28 x 2 = 56

7 x 4 = 28 x 2 = 56

add them up

144

Answer:

creo que es hay 15también eso yo pienso

Answer:

Step-by-step explanation:

Full volume is:

Volume of tea required:

Answer:

A)

[tex]P(A ∩ B) = \frac{2}{20} \\ = \frac{1}{10} [/tex]

Answer:

uhh, look it up

Step-by-step explanation:

Answer:

FV= £13,131.66

Step-by-step explanation:

Giving the following information:

Initial Investment (PV)= £10,000

Interest rate (i)= 5.6%

Number of periods (n)= 5 years

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 10,000*(1.056^5)

FV= £13,131.66

Answer:

b=30

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The leading coefficient of the given expression is 7.

A coefficient is a factor that is multiplied by a variable or a term in an expression. It can be a number or a symbol representing a constant value. For example, in 7x - 3y + 5, the coefficients are 7, -3, and 5.

Given that a quadratic function f(x) = 6-x+7x², we need to find the leading coefficient,

So, rearranging the terms in the function in standard form,

f(x) = 7x²+x-6

The leading coefficient is the coefficient of the term with the highest power or degree in a polynomial,

Here, the highest power coefficient is 7.

Hence, the Leading coefficient of the given expression is 7.

Learn more about coefficient, click;

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Answer:

Q1: 18 degrees

Q2: 60 sides

Step-by-step explanation:

The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.

360/20  --> 18 degrees.

Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.

(n-2) * 180 degrees) / n = Angle Given

(n-2) * 180 degrees) / n = 174

180n -360 / n = 174

180n -360 / 174n

360 = 6n

n = 60

It would be 60 sides.

Wassup. I'm back from the dead. Satan revived me.

Answer:The correct answer is 75.6

Step-by-step explanation:

because i took the quiz myself

Answer:

3 in.

Step-by-step explanation:

volume = ⅓πr²h

⅓πr²h=12π

r²h=36

r²=9

r = 3 inches

Answer:377 /4  = 94 and 1 / 4  =94.25

Step-by-step explanation:

Subtract

95 − 3 /4

 = 377 / 4

Convert integer to fraction

95 = 95 / 1

Find common denominator

95 over 1

− 3 over 4

= ( 95 × 4 ) over ( 1 × 4 )

 − ( 3 × 1 ) over ( 4 × 1 )

= 380 over 4

 − 3 over 4

4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.

Subtract

380 over 4

− 3 / 4

= ( 380 − 3 ) / 4

= 377 /4

Simplify

377 / 4

= 94 and 1 /494

Reduce fraction to lowest terms

1 is the greatest common divisor of 377 and 4. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

377 /4

= 94 1 /4

377 ÷ 4 = 94 remainder 1

By writing the whole number as a fraction, we will see that the solution is 377/4

Here we want to take the difference between a whole number and a fraction:

95 - 3/4

To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:

95 = (4/4)*95 = 380/4

Now we rewrite our expression as:

95 - 3/4 = 380/4 - 3/4 = 377/4

This is the solution of the expression.

If you want to learn more about fractions, you can read:

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Answer:

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

Total number of cups used

The number of dot on each dataset represent the number of student

So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item

So, we have:

[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]

[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]

Solve

[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]

[tex]Total = \frac{89}{8}[/tex]

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Answer:

k=5

Step-by-step explanation:

[tex]f(x)=x^2-6x+14[/tex]

[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]

[tex]f(x)-5=x^2-6x+9[/tex]

[tex]f(x)-5=(x-3)^2[/tex]

[tex]f(x)=(x-3)^2+5[/tex]

[tex]k=5[/tex]

Answer:

I believe that the answer is B

Step-by-step explanation:

Answer:

;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN

Step-by-step explanation:

Answer:

I think it is B if it is your welcome if not sorry its been a while since I learned about these.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x= 51.3

x=35.1

Step-by-step explanation:

10.)

For this one we have the adjacent side and the hypotonouse

Which means we'll use CAH

cos(x)=25/40

x= 51.31781255

(assuming that we have to round to the nearest tenth again)

x=51.3

12.)

For this one we have the adjacent and hyptonouse

we'll use CAH again

cos(x)=27/33

x= 35.09680123

x=35.1

Answer:

2.2

Step-by-step explanation:

Find square root of sample size then divid it by your standard deviation

Answer:

2.2

Step-by-step explanation:

i just took the test

Answer:If the triangles are similar, the ratio of corresponding sides will be equal.

AC / DF = BC / EF

Substitute their values,

12 / 10 = 18 / EF

EF = 18/12 * 10

EF = 3/2 * 10

EF = 30/2

EF = 15 cm

In short, Your Answer would be 15 cm

Hope this helps!

Answer:

What they are asking is in which box do each of the following numbers go into.

[tex]\sqrt{2}[/tex] and [tex]\frac{\pi }{2}[/tex] would go in the 'Between 1 and 2' box.

[tex]\sqrt{5}[/tex] goes under the 'Between 2and 3' box.

([tex]\sqrt{3.5}[/tex])^2 is the exact same as 3.5, as the square root and square cancel each other out, so it goes in the 'Between 3 and 4' box.

Hope that this helps!

Answer:

These pictures that you draw with arrows and arrowheads are representations of abstract mathematical objects. A ray is a subset of a line that has a starting point and extends indefinitely in one direction (not the other). The arrowhead is meant to indicate that it goes on and on.May 9, 2015

Why do vectors have arrowheads at the "endpoint

according to

...https://math.stackexchange.com › questions › why-do-vec...

Answer:

33.12 square feet

Step-by-step explanation:

Step 1

We convert the dimensions to feet

1 cm = 0.0328084 feet

Length = 114cm

Hence

114 cm = 114 × 0.0328084 feet

= 3.74016 feet

≈ 3.7 feet

Height = 56cm

Hence

56 cm = 56 × 0.0328084 feet

= 1.83727 feet

≈ 1.8 feet

Depth(width) = 56cm

Hence

56 cm = 56 × 0.0328084 feet

= 1.83727 feet

≈ 1.8 feet

Step 2

The surface area of the rectangular prism

A=2(wl+hl+hw)

=2× (1.8×3.7+ 1.8×3.7 + 1.8 ×1.8)

≈33.12 square feet