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In ARST, the measure of angel T=90°, ST = 7.7 feet, and RS = 9.7 feet. Find the measure
of Angel R to the nearest degree.

Answer:

413_7

Step-by-step explanation:

Convert the following to base 7:

206_10

Hint: | Starting with zero, raise 7 to increasingly larger integer powers until the result exceeds 206.

Determine the powers of 7 that will be used as the places of the digits in the base-7 representation of 206:

Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value

3 | 7^3 | 343

2 | 7^2 | 49

1 | 7^1 | 7

0 | 7^0 | 1

Hint: | The powers of 7 (in ascending order) are associated with the places from right to left.

Label each place of the base-7 representation of 206 with the appropriate power of 7:

Place | | | 7^2 | 7^1 | 7^0 |  

| | | ↓ | ↓ | ↓ |  

206_10 | = | ( | __ | __ | __ | )_(_7)

Hint: | Divide 206 by 7 and find the remainder. The remainder is the first digit from the right.

Determine the value of the first digit from the right of 206 in base 7:

206/7=29 with remainder 3

Place | | | 7^2 | 7^1 | 7^0 |  

| | | ↓ | ↓ | ↓ |  

206_10 | = | ( | __ | __ | 3 | )_(_7)

Hint: | Divide the whole number part of the previous quotient, 29, by 7 and find the remainder. The remainder is the next digit.

Determine the value of the next digit from the right of 206 in base 7:

29/7=4 with remainder 1

Place | | | 7^2 | 7^1 | 7^0 |  

| | | ↓ | ↓ | ↓ |  

206_10 | = | ( | __ | 1 | 3 | )_(_7)

Hint: | Divide the whole number part of the previous quotient, 4, by 7 and find the remainder. The remainder is the last digit.

Determine the value of the last remaining digit of 206 in base 7:

4/7=0 with remainder 4

Place | | | 7^2 | 7^1 | 7^0 |  

| | | ↓ | ↓ | ↓ |  

206_10 | = | ( | 4 | 1 | 3 | )_(_7)

Hint: | Express 206_10 in base 7.

The number 206_10 is equivalent to 413_7 in base 7.

Answer: 206_10 =413_7

Answer:

The groomer can get 40 bottles out of the 5 gallon pail.

Step-by-step explanation:

A gallon contains 128oz (ounces)

128/16=8

8 bottles/gallon

times both sides by 5

40 bottles/5 gallons

Therefore the groomer can get 40 bottles out of the 5 gallon pail

In base 16, the numbers 10-15 are denoted by the letters a-f. So in the units place, we have

c₁₆ + e₁₆ = 12 + 14 = 16 + 10 = 1a₁₆

Carry the 1 to the next place value:

4₁₆ + c₁₆ + 1₁₆ = 4 + 12 + 1 = 16 + 1 = 11₁₆

Carry the 1:

d₁₆ + b₁₆ + 1₁₆ = 13 + 11 + 1 = 16 + 9 = 19₁₆

Carry the 1:

3₁₆ + 4₁₆ + 1₁₆ = 3 + 4 + 1 = 8₁₆

So, we end up with

3d4c₁₆ + 4bce₁₆ = 891a₁₆

Answer:

x =  -0.8

Step-by-step explanation:

-10/-2 = 20

-10/8 = -0.8

Answer:

The approximate % increase was around 33%

Step-by-step explanation:

Divide 24 by 18 and you convert the decimal into a percent which is just multiplying it by 100

There was an increase of 33.33 percent in Miss Williamson‘s homeroom

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then multiply it with b so that we collect b items per 100 items.

Since Percentage increase in the number of students can be calculated as;

=((Final number-Initial number)/Initial Number)×100

where the Initial number of students=18 students

Final number of students=24 students

Now substituting;

((24-18)/18)×100

=(6/18)×100

=33.33% increase

Hence, there was an increase of 33.33%.

Learn more about percentages;

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Answer: go with your gutt btw C is always best option

Step-by-step explanation:

hope you got it correct

Answer:$2343.28 for the turkey

Step-by-step explanation:

1,723lbs*$1.36=$2,342.28

Answer:

1) [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]

2) [tex]y=4x+5[/tex]

3) [tex]y=-\frac{1}{4}x+4[/tex]

Step-by-step explanation:

Question 1:

All you have to do is solve for y to get the slope intercept form.

[tex]4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}[/tex]

So the equation is [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]

Question 2:

Now for this one you have to find the line perpendicular to the previous equation.

     Finding the slope:

So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of [tex]-\frac{1}{4}[/tex] it will be [tex]\frac{4}{1}[/tex] or even easier to manage [tex]4[/tex].

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]

We know the slope is [tex]4[/tex] and we could use the ordered pair that they provided us with [tex](-6,-19)[/tex]. The -6 is the x and the -19 will be the y. Now let's plug in and solve.

[tex]y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5[/tex]

     Writing the equation:

Now we know all the information needed to write the equation.

[tex]y=mx+b\\m=4\\b=5[/tex]

Now we just fill it in the formula...

[tex]y=4x+5[/tex]

Question 3:

For a parallel equation the slope will be the same in order for them to be parallel to each other.

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]

We know the slope is [tex]-\frac{1}{4}[/tex] and we could use the ordered pair that they provided us with [tex](-8,6)[/tex]. The -8 is the x and the 6 will be the y. Now let's plug in and solve.

[tex]y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4[/tex]

     Writing the equation:

Now we know all the information needed to write the equation.

[tex]m=-\frac{1}{4}\\b=4[/tex]

Now we just fill it in the formula...

[tex]y=-\frac{1}{4}x+4[/tex]

Answer:

1200

Step-by-step explanation:

6×200=1200ans...

Answer:

60, 120, 180

Step-by-step explanation:

The lowest common multiple of 2, 3, 4, 5, and 6 is 60. The box could contain any multiple of 60 that is less than 200. 60 apples. ... The answer can be any number 1–199, if there are no preconditions about slicing up a 'remainder' apple to split amongst the kids.

Hey there!

This is a transversal with same-side interior angles. Same-side interior angles always add up to 180. So you add 9x-8 plus 80, which should equal 180. You then have your equation and then solve for x.

Let me know if you need more help. We just finished transversals in Geometry.

Answer:

A. -68

B. 37

C. -61

D. 171

Step-by-step explanation:

Rule for A, B, D: 2 negatives is the same as addition

(how I did C: add them together then add the negative)

A. -68

B. 37

C. -61

D. 171

Step-by-step explanation:

Rule for A, B, D: 2 negatives is the same as addition

(how I did C: add them together then add the negative)

Answer: 24 minutes!

Step-by-step explanation: As mentioned, it can eat 45 ants per minute, How long would it take to eat 1,080 ants?

It's simple, just divide 1080 by 45 and when you divide it, the answer is 24!

Answer:

A right triangle

Step-by-step explanation:

The answer is a right triangle because it has a right angle. A right angle is 90 degrees

Answer:

253 or c

Step-by-step explanation:

Answer:

(x-3) times (x+1)

Answer:

First find slope of first line given the two points

Slope is change in y over change in x

0-1 over 5-0

Slope = -1/5

Slope of the line perpendicular to this line has a slope that is the negative reciprocal.

Slope of the new line is 5

You are given the y intercept with the first point so put these things together in the slope intercept formula

Y=5x +1

Step-by-step explanation:

Answer

Option 3

Step-by-step explanation:

70 + 5 = 75

0.9 + 0.02 = 0.92

75 + 0.92 = 75.92

Answer:

$2.50 can be your constant because you will have to pay it once in order to bowl. $2.25 can be the coefficient of the variable. You can form the equation now. y is total price while x is how many games you can bowl.

Now that you have the equation, you can solve. Knowing that you have $9.25, just plug in that value in the y

Now, just simply solve for x and you will find the answer to the second part of the question. You will get x=3

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Alternate Interior angles are equal to each other;

8x - 4 = 60

Add 4 to both sides;

8x = 64

Divide both sides by 8;

x = 8

Answer:

sure can help you shoot the question

Step-by-step explanation:

You can find the least common multiple of 2 numbers by using prime factorisation to find its index notation.

Example:

6=2×3

9=3^2

So to find the LCM of these to find the LCM of these numbers, you need to take the number with the higher index notation and the remaing factor and multiply them.

Example:

LCM(6,9)=2×3^2

=18

Answer:TC=$160.49

Step-by-step explanation:total cost=original+tax

tax=7% of 149.99

tax=0.07 times 149.99

tax=10.49993

total cost=149.99+10.49993

total cost=160.4893

round

sooo TC=$160.49

Answer:

c rotation

Step-by-step explanation:

Answer:

rotation image

Step-by-step explanation:

Answer:

a=?

a=?

a=?

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

As the two lines have the identical slope (-1/2x), that means these two lines are parallel, and therefore they have no solution.

Answer:

r = -3

Step-by-step explanation:

Add the like terms: 8r = -24

Isolate r by dividing each side by 8: r = -24/8

Simplify: r = -3

Hope this helps