The triangle will be enlarged by a scale factor of 10. A triangle with base 10 centimeters and height 7 centimeters. What will be the area of the new triangle?

Answer:

The slope is 2

Step-by-step explanation:

Using slope formula (y2-y1)/(x2-x1):

(8-2)/(9-6)

(6)/3

2

Answer:

3

Step-by-step explanation: took test edge

Answer:

Step-by-step explanation:

You observe that each term is 30 less than the previous one. This is the recursive rule. It also means the sequence is arithmetic with a common difference of -30.

Recursive equation

  f[1] = 60; f[n+1] = f[n] -30

__

Explicit equation

The general form of the explicit equation is ...

  f(n) = f(1) +d(n -1)

Here, we have f(1) = 60 and d = -30, so your equation is ...

  f(n) = 60 -30(n -1)

3 x's at 1

4 x's at 1 1/4

3 x's at 1 1/2

1 x at 1 3/4

No x's at 2.

Now, let's combine all the recipes with 1 1/4

5/4 * 4 = 20 / 4 = 5 teaspoons

The complete factorization of 21a² + 28ab​ is 7a(3a + 4b)

Factorization is an arithmetic operation used in resolving an expression into factors in which when the factors are being multiplied together, the original expression can be derived. They produce factors that can be divided into the original expression.

Given that:

= 21a² + 28ab

here, we will look for a factor that if divide in both 21 and 28, there won't be any remainder. The factor is 7;

So, we have:

= 7(3a² + 4ab)

= 7a(3a + 4b)

Therefore, the complete factorization of 21a² + 28ab​ is 7a(3a + 4b)

Learn more about factorization here:

https://brainly.com/question/14067703?referrer=searchResults

Hey there! I'm happy to help!

Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.

[tex]sin^-^1(2/24)=4.780191847....[/tex]

This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.

Have a wonderful day! :D

Answer: 25 miles

Step-by-step explanation:

Divide total miles by total gallons.

100 / 4= 25 miles per gallon

Answer:

Step-by-step explanation:

Let the midpoint of PR be Q(-1,3) where P is (5,6). To get the other coordinate R, we will use the midpoint formula as shown;

Q(X,Y) = {(x₁+x₂)/2, (y₁+y₂)/2}

From the formula;

X = (x₁+x₂)/2 and Y = (y₁+y₂)/2

From the coordinates given, X = -1, Y = 3, x₁ = 5 and y₁ = 6. To get x₂ and y₂, we will substitute the given points into the expressions above;

To get  x₂;

X = (x₁+x₂)/2

-1 = (5+x₂)/2

cross multiply

-1*2 = 5+x₂

-2 = 5+x₂

subtract 5 from both sides

-2-5 = 5+x₂-5

x₂ = -7

Similarly to get y₂

Y = (y₁+y₂)/2

3 = (6+y₂)/2

cross multiply

3*2 = 6+y₂

6 = 6+y₂

subtract 6 from both sides

6-6 = 6+y₂-6

y₂ = 0

Hence the coordinate of R(x₂, y₂) is (-7,0)

Answer:

Step-by-step explanation:

7

Answer:

37.77

Step-by-step explanation:

P= PV x i / 1- (1+i)^-n

PV = 745

I = .1684 / 12 = .01403

N = 4 x 12 = 48

.19 x (365 x 9) = 624.53

21.4338469 x 48= 1028.12

624.53 / (624.53+1028.12) = 37.77

The  percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.

Using this formula

P= Pv x i / 1- (1+i)^-n

Where:

Present value = 745

Interest= .1684 / 12 = .01403

Number of months = 4 x 12 = 48

Hence:

Percentage=.19 x (365 x 9)/(.19 x (365 x 9)+(21.4338469 x 48)

Percentage=624.53 / (624.53+1028.12)

Percentage= 37.77%

Inconclusion the  percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.

Learn more about percentage here:https://brainly.com/question/24304697

Answer:

49.2 hours

Step-by-step explanation:

Use a chart or calculator to find the z-score associated with the probability.

P(Z < z) = 0.03

z = -1.88

Now find the x value.

z = (x − μ) / σ

-1.88 = (x − 61) / 6.3

x = 49.2

Answer:

175 feet

Step-by-step explanation:

25ft/min so you just multiply 25 by however many minutes so its 7 so you do 25x7 which is 175 so its 175feet

Answer:

The answer to your question is 3a+2

Answer:

3a +2

Step-by-step explanation:

a(2a -3) +6(a -0.5) -(2a^2 -5)

rewrite to all show terms and operations:

a * (2a -3) + 6 * (a - 0.5) -1 * (2a^2 -5)

distribute:

2a^2 -3a +6a -3 -2a^2 +5

combine like terms:

-3a +6a -3 +5

3a+2

Answer: B. M= 6

Step-by-step explanation:

4(6-1)-5=2(6)+3

The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct

Answer:

i believe your answer would be 5 and 3, FD

Step-by-step explanation:

Answer:

Answer 1: 1

Answer 2: 11

Answer 3: 5

by adding answers from 1 ,2 and 3

we get,

Answer 4: 17

Answer:

The answer is 2.11~! I hope I helped <3

Step-by-step explanation:

3.5x2=7   7+9=16   1.4x2=2.8   10.4-2.8=7.6   16/7.6=2.10526315789

but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!

Answer:

2.11

Step-by-step explanation:

I got it correct on the test

Answer:

100 Adults and 164 Children

Step-by-step explanation:

To solve this we will need to write two equations to solve for the two unknowns. Firstly, we know that tickets are 20 for children and 35 for adults, and that the total price was 6780. We can write an expression to represent this. 6780 is the total price, this also means it is the price of all the adults + the price of all the children. The total price of the adults tickets is the price of each ticket multiplied by the number of adults, so the total price of adult tickets can be represented by: 35A, 35 being the ticket price per adult, and A being the number of adults. Similarly the total children's price can be expressed as such: 20C, 20 being the price per child, and C being the number of children. Since we know that these two values total to 6780, we can now form an equation:

35A (total adult price) + 20C (total children price) = 6780

35A+20C=6780

Now we need another expression so we can substitute for one of the values. The other piece of information we are given, is that a total of 264 people entered the park. This means that the total number of adults + the total number of children = 264. Since we already have variables for the numbers of adults and children we now have our second equation:

A (number of adults) + C (number of children) = 264

A+C=264

Now we can use this second equation to substitute for one of the values in the first equation. Let's substitute for children:

If we rearrange the second expression we will get:

A+C-A=264-A

C=264-A

So now we substitute this expression into our first formula:

35A+20C=6780

C=264-A

35A+20(264-A)=6780

Now since we only have one unknown, we can simplify, expand and solve!

35A+20*264-20*A=6780

35A+5280-20A=6780

35A-20A+5280-5280=6780-5280

15A=1500

15A/15=1500/15

A= 100

A total of 100 adults were admitted.

Now we can use the number of adults to find the number of children using our second formula:

C=264-A

C=264-100

C=164

And there we are! A total of 100 adults and 164 children were admitted.

Hope this helped!

Answer:

g = S - c

Step-by-step explanation:

Isolate the variable, g. Note the equal sign, what you do to one side, you do to the other. Simply subtract c from both sides:

S = g + c

S (-c) = g + c (-c)

S - c = g

g = S - c is your answer.

~

Answer:

  80 units

Step-by-step explanation:

The sides of a regular octagon are all the same length.

  x +6 = 14 -x

  2x = 8 . . . . . . add x-6

  x = 4

  x+6 = 10 . . . . the length of each of the 8 sides

P = 8s = 8(10) = 80

The perimeter of the octagon is 80 units.

Answer:

x = 6

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

11.2 feet

Step-by-step explanation:

The two furthest corners of the bed are at (8, 6) and (5, 10).  To determine which is the furthest from the origin, use the distance formula.

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((8 − 0)² + (6 − 0)²)

d = 10

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((5 − 0)² + (10 − 0)²)

d = 5√5

d ≈ 11.2

Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.

Answer:

= 1963.5cm³

Step-by-step explanation:

radius=5

height=25

V=πr2h=π·52·25≈ 1963.49541cm³

Answer:

f(3)= -9, g(2)=4

Step-by-step explanation:

F(3)= -2(3) -3

F(3)= -6 -3

F(3)= -9

G(2)= 2^2

G(2)= 2×2

G(2)= 4

Answer:

the fifth number is 11

Step-by-step explanation:

8,11,13 and 17, x

the mean is =12  ( which means the sum of the terms divided by the numbers of terms )

to find the mean :

(8+11+13+17+x)/5 =12

5*12=49+x

60-49=x

x=11

Answer:

any sum of the form m+n′, either n′ is equal to 0, in which case the first clause applies, and the sum can be evaluated immediately, or n′ is the successor s(n) of some natural number n, in which case the second clause applies, and we can compute the sum in terms of a strictly simpler sum.

Step-by-step explanation:

I hope that helps

Answer:

[tex]\boxed{14}[/tex]

Step-by-step explanation:

→ Remember multiplication occurs first

[tex]7+3*5-4*2=7+15-8[/tex]

→ Simplify the remaining expression

[tex]7+15-8=22-8=14[/tex]