Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Answer:

45495

Step-by-step explanation:

Answer:

10077

Step-by-step explanation:

A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P

t

​

=P

0

​

⋅2

d

t

​

, where P_tP

t

​

 is the population after t hours, P_0P

0

​

 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?

P_0=5400

P

0

​

=5400

The initial population

t=9

t=9

Time elapsed

d=10

d=10

The doubling time

P_t = P_0\cdot 2^{\frac{t}{d}}

P

t

​

=P

0

​

⋅2

d

t

​

P_t=5400\cdot 2^\frac{9}{10}

P

t

​

=5400⋅2

10

9

​

Plug in

P_t=10076.7563\approx10077

P

t

​

=10076.7563≈10077

Use parenthesis in the calculator for the exponent

Answer:

[tex]m\angle CBD=35^{\circ}[/tex]

Step-by-step explanation:

Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].

[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].

Therefore, we can plug in our values and solve:

[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].

Step 1: Find the sum of the interior angles

Use this formula: 180 x (n - 2)

n is the number of sides of the polygon

Work:

180 x (4 - 2)

180 x 2

360

Step 2: Find the angle right above the 94 degree angle

The entire angle (a circle) is equal to 360 degrees. To find the part we're looking for (inside of the polygon), we need to subtract the angle we already know from 360.

Work:

360 - 94

266

Step 3: Set up an equation to find the missing angle p

We now know every angle except p! And we know the sum of the interior angles. Knowing this information makes it really easy to set up an equation.

360 = 12 + 75 + 266 + p

360 = 353 + p

p = 7 degrees

Does this answer make sense?

Yes! Although the drawing may not be to scale, it is very possible that angle p could be 7 degrees because of how 12 degrees looks on this graph.

Hope this helps!! :)

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

Answer:

12

Step-by-step explanation:

you have to times 2 x 6 to find your x

I'm not for sure tho but I hope it's right

Answer:

The answer is option A

A) Circumference= 12[tex]\pi[/tex] m

Step-by-step explanation:

To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r

if the radius is 6 meters, C is

C = 2*6 [tex]\pi[/tex]r

C= 12[tex]\pi[/tex] m

Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

Answer:

-9/6 divided by -1/8 equals 12

Step-by-step explanation:

. A negative divided by a negative is a positive so... 9/6 divided by 1/8

. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8

. Reduce the fraction with 3 so... 3/2 times 8

. Reduce the numbers with the greatest common factor 2 so... 3 times 4

. Multiply the numbers so... 3 times 4 equals 12

Answer:

x=2.2

Step-by-step explanation:

You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.

So we can use the following ratios to solve for ED=x:

Answer:

250 feet

Step-by-step explanation:

If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.

a= 200

b= 150

c= ?

40,000 + 22,500 = c^2

62,500 = c^2

c = √62,500

∴ c = 250

Answer:

whichever one corresponds with the answers you have will be right.

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Answer:

The one on the graph

Step-by-step explanation:

Answer:

that help

Step-by-step explanation:

10h+27+−27=c+−27

10h=c−27

10h10=c−2710

h=110c+−2710

Answer:

h=110c+−2710

Answer:

False;18 ≥ 20

Step-by-step explanation:

Add  11  and 7

The left side  18  is less than the right side  20 , which means that the given statement is false.

Answer:

7

Step-by-step explanation:

For the problem:

3 1

2

÷  

1

2

= ?

Convert any mixed numbers to fractions:

3 1

2

=  

7

2

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7

2

÷  

1

2

=  

7

2

×  

2

1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 2

2 × 1

=  

14

2

The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

14

2

=  

14 ÷ 2

2 ÷ 2

= 7

The result is:

3 1

2

÷  

1

2

= 7

Answer:

[tex]10\:\mathrm{meters}[/tex]

Step-by-step explanation:

We can use trigonometry for a right triangle to solve this problem:

[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].

The height of the flagpole is 10 meters.

"It is the angle from the horizontal upward to an object."

For given question,

Consider the following figure.

The angle of elevation is 18°

⇒ ∠ACB = 18°

Also, BC = 30 meters

We need to find the height of the flagpole i.e., we need to find the distance AB.

Consider a tan(∠ACB )

[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]

Therefore, the height of the flagpole is 10 meters.

Learn more about angle of elevation here:

https://brainly.com/question/21137209

#SPJ3

Answer:

there's no grid provided

Answer:

Step-by-step explanation:

12/4 = 3

3 x 4 = 12

4 is the answer

Answer:

I believe it's SAS, but I am not 100% sure. I say this because you see the angle then in between is a side then another angle

Answer:

Her salary for the month = $7260

Step-by-step explanation:

Given

To determine

Given that Amount sold = $62,000 and Percentage rate 3%

so

Salary from commission rate = Amount sold × Percentage rate

                                                = $62,000 × (3 / 100) = $1860

so

Total salary = Base salary + Salary from commission rate

                   = $5,400 + $1860

                   = $7260

Hence, her salary for the month = $7260

Answer:

x is in the top left of the triangle :)

Step-by-step explanation:

Answer:

its there....

Step-by-step explanation:

Answer:

a. y = x/6 b. 3 heads of lettuce

Step-by-step explanation:

a. Write an algebraic expression Gio could use to determine how much lettuce he needs

Since Gio needs one head of lettuce for every 6 guests who attend, then, the number of lettuce y needed for x guests is one head of lettuce/6 guests × x guests is y = 1/6 × x

= x/6

b. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests

Since 18 guest come to the party, x = 6. So, y = x/6

= 18/6

= 3 heads of lettuce.

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

From the question we are told that

Amount of water 1/4x

Gallons added 10

Amount of water after addition 2/3x

Where x is a full container

Generally the parameters above gives the equation

  [tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]

Therefore

  [tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]

[tex]-\frac{5}{12}x =-10[/tex]

[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]

[tex]x =24[/tex]

Therefore the container can hold 24 gallons of water

Answer:

6x³ - 19x² + x + 6

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(x - 3)(2x + 1)(3x - 2)

Step 2: Expand

Answer:

0.2

Step-by-step explanation:

Answer:

0.16

Step-by-step explanation:

Answer:

4 1/8 ounces

Step-by-step explanation:

Total bag of chocolate chips Mary has = 16 1/2 ounces

She will only use 1/4 of the bag for decorating a cake.

How many ounces will she use for decorating

Ounces used in decoration = 1/4 of 16 1/2

= 1/4 × 33/2

= (1*33)/(4*2)

= 33/8

= 4 1/8 ounces of chocolate chips

She will use 4 1/8 ounces of chocolate chips for decorating a cake

Answer:

n=11

Step-by-step explanation:

Permutations

The formula to calculate permutations is:

[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]

We know nP3=990. Substituting:

[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]

Expanding the factorial in the numerator:

[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]

Simplifying:

[tex]n(n-1)(n-2)=990[/tex]

This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:

[tex]n(n-1)(n-2)=11*10*9[/tex]

It follows that n=11