Which of these numbers are relatively prime to 51? Select all that apply. da) 84 Ob) 70 Oc) 62 0d) 30

Answer:

8 feet

Step-by-step explanation:

3 + 5 = 8

..................................................

Answer:

Step-by-step explanation:

First things first, let's explain what a right triangle is. The definition is very simple and might even seem obvious for those who already know it: a right-angled triangle is a triangle where one and only one of the angles is exactly 90°. The other two angles will clearly be smaller than the right angle because the sum of all angles in a triangle is always 180°. In a right angled triangle the sides are defined in a special way. The side opposing the right angle is always the biggest in the triangle and receives the name of "hypotenuse". The other two sides are called catheti. The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras' theorem states that: a² + b² = c².

To solve for c, take the square root of both sides to get c = √(b²+a²). This extension of the Pythagorean theorem can be considered as a "hypotenuse formula".

Steps to solve:

[tex]c=\sqrt{a^{2} +b^{2} } \\c=\sqrt{1.3^{2} +6.1^{2} } \\c=\sqrt{1.69+37.21} \\c=\sqrt{38.9} \\c=6.236986[/tex]

The number that is equal to [tex]\frac{4}{2}[/tex] is 2

When you ask "What is 4/2 as a whole number?" you are asking to convert the fraction [tex]\frac{4}{2}[/tex] to a whole number.

The fraction [tex]\frac{4}{2}[/tex] has a numerator of [tex]4[/tex] and a denominator of [tex]2[/tex]. To convert [tex]\frac{4}{2}[/tex] to a whole number, you simply divide the numerator by the denominator.

Given that:

[tex]\frac{4/2=2}{2/2=1} =\frac{2}{1}=2[/tex]

Therefore, The number that is equal to [tex]\frac{4}{2}[/tex] is 2

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Answer: 20:21

Step-by-step explanation: The Greatest Common Factor is 4, 80 divided by 4 is 20 and 84 divided by 4 is 21

Hope this helps

Answer:

20:21

Step-by-step explanation:

Expressing a number or more in their simplest form simply means expressing them to their lowest terms. You can divide 80:84 with 2 or 4. To make it faster, just divide both by 4 and you'll get 20:21 which is the final answer, no other number can divide 20:21.

I hope this helps.

Answer:

A = 2700   M = 2100 dollars

Step-by-step explanation:

9 + 7 = 16 shares

  2 shares more = 600

       1 share = 300

9 shares * 300 = 2700

7 shares x 300 = 2100

The two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4) rad] respectively.

Angles having the same terminal side at standard position are called coterminal angles.

Although the magnitudes of coterminal angles varies, they all have the same sides and vertices.

Positive or negative coterminal angles are possible. The positive coterminal is obtained by adding 2 rad or 360° to the negative coterminal, while the negative coterminal is obtained by removing 2 rad or 360°.

For figure 1;

The positive coterminal angle is found as;

[tex]\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} + 2 \pi \\\\ \rightarrow\frac{13 \pi}{4} \ rad[/tex]

The negative coterminal angle is found as;

[tex]\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-3 \pi}{4} \ rad[/tex]

For figure 2;

The positive coterminal angle is found as;

[tex]\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{-9\pi}{4} + 2 \pi \\\\ \rightarrow\frac{7 \pi}{4} \ rad[/tex]

The negative coterminal angle is found as;

[tex]\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{-9 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-17 \pi}{4} \ rad[/tex]

Hence,the two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4)] respectively.

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Answer:

A. and B.

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

We are given the value of "a", which is 6. Let us substitute the value of "a" into the expression to determine a numerical value of 3(a - 9).

Open the parentheses to simplify the expression inside the long brackets [ ].

Subtract the expression inside the long brackets [ ]

Finally, simplify the product of 3 and -3.

Therefore, -9 is the value of 3(a - 9) when a = 6.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3(a - 9)}\\\\\mathsf{= 3(\bold{6} - 9)}\\\\\mathsf{= 3(6) + 3(-9)}\\\\\mathsf{= 18 - 27}\\\\\large\text{OR EVEN \rm{3(-3)}}\\\\\mathsf{= 3(-3)}\\\\\mathsf{= -9}\\\\\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{-9}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

So we want to know how many out of 1000 people did not listen to any type of the three music types that were surveyed If 30% of people listened to pop, 26% of people listened to rock and 20% of people listened country music. So first lets see how many people liked the three types of music: 30%+26%+20%=76%. So 24% of people did not like the three types of music that were surveyed. Finally we need to see how many people in 1000 is 24%. 24% out of 1000 people is 0.24*1000=240 people. So 240 people didn't like the 3 types of music.

The amount of the surface area covered with stickers is 0.6 or 60%

The amount of area to cover is given as:

Covered area = 3/5

Express as percentage

Covered area = 3/5 * 100%

Divide 3 by 5

Covered area = 0.6 * 100%

Evaluate the product

Covered area = 60%

Hence, the amount of the surface area covered with stickers is 0.6 or 60%

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Answer:

135.93

Step-by-step explanation:

I took the test

Answer:

we can use the pythagorean theorem to each of those right triangles to find the lengths of the pathways

Step-by-step explanation:

for the spinach celery walkway,

d=[tex]\sqrt{6^{2}+8^{2}[/tex] = 10 yd

for each watermelon walkway,

d=[tex]\sqrt{8^{2}+12^{2}[/tex] = 14.42 yd

from the carrots red peppers walkway,

[tex]b^{2}+12^{2} = 15^{2}[/tex]

b=[tex]\sqrt{15^{2}-12^{2}[/tex]= 9yd

for each tomatoes walkway;

d=[tex]\sqrt{6^{2}+9^{2}[/tex] = 10.82 yd

so the total length of the walkway is = 10+14.42+15+10.82 = 50.24 yd

Answer:

angle A = 112 degrees

Step-by-step explanation:

Angle ADC is bisected (given)  ...so angle 1 = angle 2  

    then angle D = 68 degrees

now you have to remember that adjacent corners (angles on the same LEG) of a trapezoid sum to 180 (they are 'supplementary' )

  angle A = 180 - 68 = 112 degrees

Answer:

The common denominator is 4.

Step-by-step explanation:

4/8 simplified is 2/4.

Therefore, we can now add them together.

2/4 + 2/4 = 1.

Hope this helps:) Goodluck!

Answer:

$310.05

Step-by-step explanation:

Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.

Original price: $375

Discount of 22%

22% of $375 = 0.22 × $375 = $82.50

Price after discount (but before tax): $375 - $82.50 = $292.50

Sales tax of 6%

6% of $292.50 = 0.06 × $292.50 = $17.55

Price after discount and tax: $292.50 + $17.55 = $310.05

Method 2: Add and subtract the discount percent and the tax percent first, then multiply.

Original price: $375

The discount is 22%.

The original price is 100%.

Subtract 22% from 100%: 100% - 22% = 78%

The discounted price is 78% of the original price.

Once you have the discounted price, tax is 6%.

The new discounted price is 100%. Add 6% to get 106%.

The price with tax is 106% of the discounted price.

106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05

Answer: $310.05

Answer: The answer is d

Step-by-step explanation:

Answer:

(x-2)^2-2

Step-by-step explanation:

x^2-4x+2

take the x out

x(x-4) + 2

(x-2)^2-2

because (x-2)^2 is

x^2-4x+4

its like completing the square

Answer:

(x-2)² -2

Step-by-step explanation:

Consider that (a+b)² = a²+2ab+b²

To find the form (x-A)²+B compare  x²-4x+2 with a²+2ab+b²

x² - 4x +2

a² + 2 a b+ b², so a= x and b = (-2)

x²+ 2· x ·(-2)+ (-2)² -  2  = (x-2)² -2 is in the form (x-A)²+B

Check our answer:

(x-2)² -2= (x²-2·2x+4)-2 = x²-4x +2 ✅

The selection of a random number from 1 - 72 is an illustration of probability, and the probability of selecting a multiple of 9 is 1/8

The sample size is given as:

n = 72

There are 8 multiples of 9 from 1 to 72.

So, the probability that a multiple of 9 is selected is:

P(Multiple of 9) = 8/72

Simplify

P(Multiple of 9) = 1/9

Hence, the probability of selecting a multiple of 9 is 1/8

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Answer:

the answer is letter E.

see the attachment.

Answer:

11

Step-by-step explanation:

if the other things are the XY and XY, then the other one needs to measure 11.

Given the ODE

(x - 1) y'' + y' = 0

we assume a solution of the form

[tex]y(x) = \displaystyle \sum_{n=0}^\infty c_n x^n[/tex]

with derivatives

[tex]y'(x) = \displaystyle \sum_{n=0}^\infty n c_n x^{n-1} = \sum_{n=0}^\infty (n+1) c_{n+1} x^n[/tex]

[tex]y''(x) = \displaystyle \sum_{n=0}^\infty (n+1) n c_{n+1} x^{n-1} = \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n[/tex]

Substituting these series into ODE gives

[tex]\displaystyle (x - 1) \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]

[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^{n+1} - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]

[tex]\displaystyle \sum_{n=1}^\infty (n+1)n c_{n+1} x^n - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]

[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)n c_{n+1} - (n+2)(n+1) c_{n+2} + (n+1) c_{n+1}\bigg) x^n - 2c_2 + c_1 = 0[/tex]

[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n - 2c_2 + c_1 = 0[/tex]

[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n = 0[/tex]

Then the coefficients [tex]c_n[/tex] are given recursively by

[tex](n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2} = 0[/tex]

for all n ≥ 0, or equivalently,

[tex]c_{n+2} = \dfrac{n+1}{n+2} c_{n+1}[/tex]

which most closely resembles the second choice.

Answer:

[tex]y=\frac{3}{4} x-3[/tex]

Step-by-step explanation:

Given information: x-int: 4 and y-int:-3

x-int point : (4,0).

y-int point : (0,-3).
Plug this information to point-slope form to solve for m and then convert that to slope-intercept form.

[tex]y-y_0=m(x-x_0)\\0-(-3)=m(4-0)\\3=4m\\m=\frac{3}{4} \\[/tex]

[tex]y-y_0=m(x-x_0)\\y-(-3)=\frac{3}{4} (x-0)\\y+3=\frac{3}{4}x\\y=\frac{3}{4}x-3[/tex]

Answer:

63/8

Step-by-step explanation:

For this question all you have to do is times the 9 and 7 and put the denominator(in this case 8) underneath to make a fraction. The answer totals as 63/8 or 7 and 7/8.

Answer:

the answer is C I hope this helps

The expression after simplifying is -12x² + 6x + 6.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x - 4x² - 1 + x - 8x² + 7

Add like terms.

6x - 12x² + 6

-12x² + 6x + 6

Thus,

The final expression is -12x² + 6x + 6.

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The multiplication problem represented by this grid is 0.7 x 0.4 = 0.28

Sure hope this helps you

original equation

[tex]v=\frac{d}{t}[/tex]

solve for t

[tex]t=\frac{d}{v}\\\\t=\frac{100}{6.25} \\\\t=16[/tex]

It took Dita 16 seconds to finish the race

Answer:

a

Step-by-step explanation:

aaaaaaa

its a

16 seconds

Answer:

4

Step-by-step explanation:

-1 - (-5) = 4

3 - (-1) = 4

7 - 3 = 4

Answer:

You need 443.2 square inches of wrapping paper to completely cover the prism.

Step-by-step explanation:

Calculate the area of each side.

Triangles:

Base * Height * 1/2

10 in. * 8.7 in. * 1/2

87 in.^2 * 1/2

43.5 in.^2

There are two sides with the triangle so we multiply the 43.5 in.^2 by two

(43.5 in.^2) * 2

87 in.^2

Side Rectangles:

Length * Width

13 in. * 8.7 in.

113.1 in.^2

There are two sides with this size rectangle so we multiply the 113.1 in.^2 by two

(113.1 in.^2) * 2

226.2 in.^2

Bottom Rectangle

Length * Width

13 in. * 10 in.

130 in.^2

There is only one side with the bottom rectangle.

Add up all the calculate areas.

Triangles + Side Rectangles + Bottom Rectangle

87 in.^2   +     226.2 in.^2      +     130 in.^2

443.2 in.^2

Answer:

= 25√3/3

Step-by-step explanation:

x/25 = tan 30o

x = 25/√3

= 25√3/3