Plot G(8,−6) , H(2,−6) , J(7,4) , and K(7,10) in a coordinate plane. Are GH and JK congruent?

A dresser with the mirror attached is 6.28 feet tall. The difference between their heights is 1.28 feet. What are the heights of

Kobotan [32]

Answer:

Step-by-step explanation:

y = dresser height

x = mirror height

x+y=6.28

x-y = 1.28

x = 1.28+y

x+y=6.28

(1.28+y)+y=6.28

2y = 5

y = 2.5

Dresser = 2.5 ft

Dresser + Mirror = 2.5 + 1.28 = 6.28 ft

Mirror = 1.28 ft

3 0

2 years ago

What is te average number of tomatoes on the 10 plants that were randomly selected ?

Nat2105 [25]

What were the options

4 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

Peter drove 432 Mi over a period of 6 hours while his best friend Eric drove 360 miles over 5 hours who had the faster unit righ

Darina [25.2K]

Answer:

Both Peter and Eric had the same unit rate of 72mph.

Step-by-step explanation:

Peter:

432/6 = 72

72 miles per hour

Eric:

360/5 = 72

72 miles per hour

4 0

3 years ago

A coffee shop covers it coffee cups for holiday seasons. Their cups are cylindrical, have a 2 inch radius, and a height of 6 inc

slega [8]

Answer:

Surface area of square box cover is 4x12=48 $in^{2}$

Step-by-step explanation:

Given cylindrical cup have 2 in of radius and height of 6 in.

It is said that we need to cover the cup leaving top and bottom of cup.

To find how much material to cover:

After covering the cup, square box will be formed around the cup.

As shown in figure, Top view of square cup and box.

One face of box has length of diameter of cup = 2 in and height of box as height of cup = 6 in

Therefore, Area of one face of square box is length x height = 2 x 6 =12 $in^{2}$

Since, Box having 4 faces

Surface area of square box cover = 4 x area of one face of box

= 4x12=48 $in^{2}$

8 0

3 years ago