PLEASE HELP!!!! Kelly earns 20% more than Scott, and together they earn $1210.00 per week. How much does Kelly earn per week?

What is the length of stack A G with bar on top in the rectangular prism? Round your answer to the nearest tenth.

Leviafan [203]

I saw the image that should accompany this problem.
It is a rectangular prism and the base has a right triangle with a measure of the following: long leg = 18cm ; short leg = 16cm

We need to look for the hypotenuse because it serves as the long leg of the right triangle where AG is the hypotenuse.

base triangle
a² + b² = c²
(16cm)² + (18cm)² = c²
256cm² + 324cm² = c²
580 cm² = c²
√580cm² = √c²
24 cm = c

2nd triangle: long leg = 24cm ; short leg = 16cm
(24cm)² + (16cm)² = c²
576 cm² + 256 cm² = c²
832 cm² = c²
√832 cm² = √c²
28.8 cm = c

the length of stack AG is 28.8 cm.

3 0

3 years ago

PLZ HURRY IT'S URGENT!!

yanalaym [24]

Answer:

4x + 3x = 42

Step-by-step explanation:

5 0

3 years ago

G(r)=−(r+11)(r+14)

Oduvanchick [21]

Answer:

The zeros are

Larger $r=-11$

Smaller $r=-14$

2)The vertex is (-12.5,-2.25)

Step-by-step explanation:

The given function is:

$g(r)=(r+11)(r+14)$

This function is already in the factored form therefore it is easy to find the zeros,

$(r+11)(r+14)=0$

Either $(r+11)=0$ or $(r+14)=0$

The zeros are $r=-14$ or $r=-11$

b) The expanded form of the given function is:

$g(r)=r^2+25r+154$

We obtain the vertex form by completing the square:

$g(r)=r^2+25r+(\frac{25}{2})^2+154-(\frac{25}{2})^2$

The vertex form is:

$g(r)=(r+\frac{25}{2})^2-(\frac{9}{4}$

Therefore the vertex is (-12.5,-2.25)

8 0

3 years ago

Y+1=2/5(x+3) in standard form?

Rzqust [24]

For this case we have that by definition, the equation of a line in the standard form is given by:

$ax + by = c$

According to the statement we have the following equation of the line:

$y + 1 = \frac {2} {5} (x + 3)$

We manipulate algebraically to write in the standard form. To do this we follow the steps below:

We apply distributive property on the right side of the equation: $y + 1 = \frac {2} {5} x + \frac {6} {5}$

We subtract $\frac {6} {5}$ on both sides of the equation:

$y + 1- \frac {6} {5} = \frac {2} {5} x\\y- \frac {1} {5} = \frac {2} {5} x$

We multiply by 5 on both sides of the equation:

$5y-1 = 2x$

We subtract 5y on both sides of the equation:

$2x-5y = -1$

Finally, the equation in its standard form is:

$2x-5y = -1$

Answer:

$2x-5y = -1$

6 0

3 years ago

In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who tak

andrew-mc [135]

Answer:

58 students

Step-by-step explanation:

Given

$Total = 85$

$French = 27$

$Geometry = 51$

$History = 38$

$None = 5$

$All = 2$

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

$x + 7 -2+10-2+2=27$

$x + 15=27$

Collect like terms

$x =- 15+27$

$x =12$

For Geometry only (y), we have:

$y+10-2+15-2+2=51$

$y+23=51$

Collect like terms

$y=-23+51$

$y=28$

For History only (z), we have:

$z +15-2+7-2+2=38$

$z +20=38$

Collect like terms

$z =-20+38$

$z =18$

Students with one subject is then calculated as:

$1\ subject = x+y+z$

$1\ subject = 12 + 28 + 18$

$1\ subject = 58$

5 0

3 years ago