The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 2 ft shorter than twice the Maple Street side. The Maple Street side is 12 ft shorter than half the Main Street side. The Main Street side is 210 ft.

Answer:

4.89

Step-by-step explanation:

You don't suck at math, just nobody has explained it good enough or gave you a calculator (working on your computation skills help if that's the problem). For an average, add up all the numbers and divide them by the amount of items you added up.

Answer:

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

Step-by-step explanation:

Equation of the Circle

A circle centered at (h,k) and radius r can be written with the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We are given the center (5,k), thus:

[tex](x-5)^2+(y-k)^2=r^2[/tex]

We know the point (3,7) belongs to the circle. This means the distance between the center and this point is the radius.

Given two points (x1,y1) and (x2,y2), the distance between them satisfies:

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Calculating the radius, we have:

[tex]r^2=(7-k)^2+(3-5)^2[/tex]

[tex]r^2=(7-k)^2+4\qquad\qquad [1][/tex]

Now we use the fact that the line y=2x+1 and the circle are tangent at (3,7). The radius and the line are perpendicular at that point. Two perpendicular lines with slopes m1 and m2 satisfy the condition:

[tex]m_1\cdot m_2=-1[/tex]

The line y=2x+1 has a slope of m1=2, thus the slope of the segment from (5,k) to (3,7) has a slope of -1/2:

The slope is calculated as:

[tex]\displaystyle \frac{7-k}{3-5}=-\frac{1}{2}[/tex]

Operating:

[tex]\displaystyle \frac{7-k}{-2}=-\frac{1}{2}[/tex]

Multiplying by -2

[tex]\displaystyle 7-k=1[/tex]

Solving:

k=6

From [1] the radius is:

[tex]r^2=(7-6)^2+4[/tex]

[tex]r^2=1+4[/tex]

[tex]r^2=5[/tex]

Finally, substituting into the equation of the circle:

[tex]\mathbf{(x-5)^2+(y-6)^2=5}[/tex]

The graph can be seen in the figure below.

Answer:

Step-by-step explanation:

Answer:

1no

125

2no

12.9

hope that this will help u

Answer:

5x-6=2

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

We need to keep the variable on one side of the inequality

y-5 is greater than or equal to -4

+5                                              +5

y is greater than or equal to 1

So the last one is correct

Answer: The greatest number of pages Kenji can decorate = 3

Step-by-step explanation:

Given: Total heart stickers = 15

Total star stickers =12

If all the papers identical, with the same combination of heart and star stickers and no stickers left over.

Then the greatest number of pages Kenji can decorate = GCD(15,12)  [GCD=greatest common divisor]

Since 15 = 3 x 5

12=2 x 2 x 3

GCD(15,12) =3

Hence, the greatest number of pages Kenji can decorate = 3

Answer:

She paid $8,25 per pound

Step-by-step explanation:

Given

[tex]Weight = 1.6\ lb[/tex]

[tex]Total= \$13.20[/tex]

Required

Determine the amount paid per pound

To do this, we simply divide the amount by the weight of Almonds.

[tex]Amount = \frac{Total}{Weight}[/tex]

[tex]Amount = \frac{\$13.20}{1.6\ lb}[/tex]

[tex]Amount = {\$8.25/\ lb[/tex]

Hence, she paid $8,25 per pound

Answer:

8800

Step-by-step explanation:

Answer:

8800 yards

Step-by-step explanation:

hope it helps

Answer:

Never

Step-by-step explanation:

Their slope is the same so they will go down the same distance every time, and since the first one touches the y-intercept at 1 and the other one touches the y-intercept at -2, it is completely impossible for them to ever intersect

Answer:

Possible values of x are whole numbers that are lesser than 15 inches

Step-by-step explanation:

We are given;

Base; b = 15 inches

Height; h = 10 inches

Formula for area of triangle is;

A_tria = ½bh

A_tria = ½ × 15 × 10

A_tria = 75 Sq.in

Now, formula for trapezoid is;

A_trapez = ½(a + b)h

Where a is the side parallel to the base.

We are told that the area of the trapezoid is less than twice the area of the triangle.

Thus;

½(a + 15)10 < 2(75)

Simplifying;

5(a + 15) < 150

Divide both sides by 5 to get;

a + 15 < 150/5

a + 15 < 30

Subtract 15 from both sides to get;

a < 30 - 15

a < 15

Possible values of x are whole numbers that are lesser than 15 inches

Answer:

the following system of inequalities:

y ≥ −3x + 1

y ≤ (1/2)x + 3

using a graph tool

see the attached figure

the answer is the option

B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line

Step-by-step explanation:

Answer:

[tex]\frac{x}{8}[/tex]

Step-by-step explanation:

When solving inverse functions, switch the x and y's:

x=8y

Then solve for y: (divide 8 on both sides)

[tex]\frac{x}{8}=y\\[/tex]

The correct answer is C plane HJG

Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the total customers are 250 in number

and that 10% of customers made additional purchase.

Step two:

what we intend to find is the number that 10% represent in 250

this is shown as

=10/100*250

=0.1*250

=25

The number of customers that made an additional purchase is 25

Answer:

25

Step-by-step explanation:

Answer:

x = 1,-1   2 real roots

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

Answer:

$3.52

Step-by-step explanation:

Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards.  A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards.  The object of the game is to be the first to get rid of all the cards in your hand.

Preparation:  The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.

Shuffle the cards and deal out 7 cards to each player.  Place the remaining cards in a pile (the draw pile) in the center of the table.  Turn one card over to create the discard pile.

On his/her turn, each player will:

Either draw a card from the draw pile OR pick up the top card of the discard pile.  (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.) 

The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.

If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously. 

If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.

At the end of each turn the player must place a card on the discard pile.  If this is the last card in his/her hand, then he/she is the winner!

Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out.  At that point, the player with the least number of cards in his/her hand is the winner.

Variation:

Students collect cards to make books but can only add a card to a book they have placed on the table themselves.  At the end of the game, the player with the most books is the winner.

Answer:

7% or 0.07

Step-by-step explanation:

Answer:

Step-by-step explanation:

First Line:

0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7

Second Line:

-1/3, 0, 1/3, 1/2, 1, 4/3

Third Line:

0, 1/3, 2/3, 1, 4/3, 5/3, 2

Answer: $3678.36

Step-by-step explanation:

New airball hockey table = $875.23

pinball machine = $622.19

2 arcade racing games = $942.49 each.= $942.49 × 2 = $1884.98

Total amount without sales tax will be:

= $875.23 + $622.19 + $1884.98

= $3382.4

Sales tax = 8.75% × $3382.4

= 0.0875 × $3382.4

= $295.96

Total cost = $3382.40 + $295.96

= $3678.36

Answer:

It would be 1,088/1,280

Step-by-step explanation:

The answer is 1,088

Answer:

Yes, it is still a line

Step-by-step explanation:

The slope of the line is not changed, just the y-intercept. It started as a line, therefore translating it up will have it still remain as a line

Answer:

30

Step-by-step explanation:

Answer:

x = 123°

General Formulas and Concepts:

Geometry

Step-by-step explanation:

The angles on the transversal and parallel lines are Corresponding Angles. Therefore, according to the definition, they are congruent.

Answer: yes

Step-by-step explanation:

(3*3) + (2*2) = 9+4 = 13 which is what the other side of the equation states so it is a solution

Answer:

Yes

Step-by-step explanation:

Plug the 3 into the x and plug the 2 into the y from (3,2)

So you get, 3(3) + 2(2)=13

9+4=13

Answer:

I aint never seen 2 pretty best friends ;)

Step-by-step explanation:

Answer:

x= 16/3 now change in mixed fractions

no 2

For the value of x =20 will result in lines m and n being parallel

a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher dimension spaces.

In the given figure, we need to find the value of x which makes the lines m and n are parallel.

parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

In the given figure we have two angles 6x+14 and 134.

We need to equate these to find the value of x.

6x+14=134

Subtract 14 from both sides

6x=134-14

6x=120

Divide both sides by 6

x=20

Hence for the value of x =20 will result in lines m and n being parallel

To learn more on Straight lines click:

https://brainly.com/question/29223887

#SPJ2

Answer:

2m, 14m, 26m, 38m, 50m

Step-by-step explanation:

In order to calculate the distance of each tree from the house we simply need to add 12m to the initial starting point of the first tree which is 2m away, and then add 12m to that distance and so on until all 5 trees are planted. The distances would be the following...

1st Tree: 2m

2nd Tree: 2m + 12m = 14m

3rd Tree: 14m + 12m = 26m

4rth Tree: 26m + 12m = 38m

5th Tree: 38m + 12m = 50m

Therefore, those are the distances between each tree 2m, 14m, 26m, 38m, 50m

Answer:

$159.84

What we know - 4 bags cost $39.96

What we need to know - How much 16 bags cost

Step-by-step explanation:

We can solve this by simply knowing how many times 4 goes into 16. We can do this by writing the equation 16 ÷ 4 = 4. We now know that 4 goes into 16 4 times. By doing this we can now multiply $39.96 by 4 to get the cost of 16 bags which is $159.84.

Hope this Helps!!! :) Please comment below with some feedback!