pls help geometry! Surface area

Answer:

( 2 + √3 ) / 2, ( 2 - √3 ) / 2

Step-by-step explanation:

2x^2 - 2x = 1

2x^2 - 2x - 1 = 0

Here,

a = 2

b = - 2

c = - 1

D = b^2 - 4ac

D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )

= 4 + 8

D = 12

x = - b ± √D / 2a

= - ( - 2 ) ± √12 / 2 ( 2 )

= 4 ± 2√3 / 4

= 2 ( 2 ± √3 ) / 4

= 2 ± √3 / 2

x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2

Answer:

7(y-4)

---------

6(y+4)

Step-by-step explanation:

5y-20        7y+35

------------ * ------------

3y+15           10y +40

Factor

5(y-4)     7(y+5)

--------  * -----------

3(y+5)     10(y+4)

Cancel like terms

(y-4)     7

--------  * -----------

3            2(y+4)

7(y-4)

---------

6(y+4)

Answer:

IT = 13.5

Step-by-step explanation:

Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.

This means that:

ST = ⅔(IT)

ST = 9 (given)

Substitute

9 = ⅔(IT)

Multiply both sides by 3

3*9 = 2(IT)

27 = 2(IT)

Divide both sides by 2

27/2 = IT

IT = 13.5

Answer:

Si

Step-by-step explanation:

100% - 90% = 10%

10% = 0.10 = 1/10

Respuesta: Si

Answer:

Step-by-step explanation:

Remark

The measurement of the arc is 3Pi

that represents 108 / 360 of the circle.

Equation

108/350 2 * pi * R = 3* pi

Solution                            

Pi is on both sides of the equation. They both cancel.

108/360 = 0.3

0.3 * 2 * R = 3

0.6 * R = 3

R = 3/0.6

R = 5

Answer:

wouldn’t it just be 21? because both are the same but mirrored

Answer:

The length of the kitchen is 2.23 meters.

Step-by-step explanation:

Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:

Width = 2 meters

Hypotenuse = 3 meters

2 ^ 2 + X ^ 2 = 3 ^ 3

4 + X ^ 2 = 9

X ^ 2 = 9 - 4

X = √ 5

X = 2.236

Therefore, the length of the kitchen is 2.23 meters.

Answer:

AS = 46

Step-by-step explanation:

The circumcentre is equally distant from the triangle' s 3 vertices , then

AS = BS = 46

Answer:

Step-by-step explanation:

Ok

Answer:

48

Step-by-step explanation:

To find how many 1/3 cm length cubes fill the prism, we first need to find the volume, which is equal to

length * width * height = 1 cm * (2 + 2/3) cm * (2/3) cm

= 1 cm * (6/3 + 2/3) cm * (2/3) cm

= 1 cm * (8/3) cm * (2/3) cm

= (8/3) cm ² * (2/3) cm

= (16/9) cm³

Therefore, the volume is 16/9 cm³.

Next, one cube with side lengths of 1/3 has a volume of ((1/3) cm)³ = (1/27)³

We thus need to find how many of 1/27 goes into 16/9

If we multiply 16/9 by 1=3/3 (as 9*3=27), we can equalize the bases, making 16/9 = 48/27

All that's left is to figure out how many times 1/27 goes into 48/27, which is equal to (48/27)/(1/27) = 48

Answer:

Time taken for the ball to hit the ground back = 3.08 s

Step-by-step explanation:

h(t)= -16t² + 48t + 4

when will rhe object come back to hit rhe ground?

When the ball is at the level.of the ground, h(t) = 0.

0 = -16t² + 48t + 4

-16t² + 48t + 4 = 0

Solving the quadratic equation

t = 3.08 s or t = -0.08 s

Since the time cannot be negative,

Time taken for the ball to hit the ground back = 3.08 s

Hope this Helps!!!

Step-by-step explanation:

Given:

The combination is:

[tex]^{34}C_{21}[/tex]

To find:

The [tex]^{34}C_{21}[/tex] as the sum of two terms from pascals triangle.

Solution:

According to the pascals triangle:

[tex]^{n+1}C_{r+1}=^nC_r+^nC_{r+1}[/tex]

We have,

[tex]^{34}C_{21}[/tex]

Using the pascals triangle formula, we get

[tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex]

Therefore, [tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex].

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

Answer:

$100

Step-by-step explanation:

The amount Lucia gave Brenda = Half the amount in the store counter

The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings

The amount Brenda had saved = Half of the amount Lucia earned in the store that day

The number of food and treat packets Brenda bought = 5

The cost of each packet = $15

Let x represent the amount Lucia earned and let y represent the amount Brenda saved

We have;

x/2 = y

x/2 + y/2 = 15 × 5 = 75

Therefore, we get;

y + y/2 = 75

(3/2)·y = 75

y = 75 × 2/3 = 50

y = 50

From x/2 = y, we have;

x/2 = 50

x = 2 × 50 = 100

The amount Lucia earned in her store that day, x = $100

Answer:

january = 10/20 = 1/2

februry = 7/14 = 1/2

so, we conclude that the auto dealership didn't have a lower ratio, since the ratio is equal in both months.

hope it helps :)

Answer:

5

Step-by-step explanation:

this is probability

probability of 5 occuring once is = 5/42=0.119

therefore, probability of 5 occuring in 42 times is;

42 x 0.119=4.998

approximately 5

Answer:

Open the image. (Hope you don't mind about bad writing)

Answer:

Step-by-step explanation:

First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.

To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!

To complete the square, set the quadratic equal to 0 and then move over the constant, like this:

[tex]-5t^2+10t=-35[/tex]  The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:

[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.

The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.

[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.

The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:

[tex]-5(t-1)^2=-40[/tex]

Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:

[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.

To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:

[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get

[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:

t - 1 = ±√8. Now add 1 to both sides to isolate the t:

t = 1 ± √8. In decimal form:

t = 1 + √8 is 3.828 seconds and

t = 1 - √8 is -1.828 seconds.

Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.

Answer:

Step-by-step explanation:

252 = 2 * 126

        = 2 * 2 * 63

         = 2 * 2 * 3 * 21

         = 2 * 2 * 3 * 3 * 7

         = 2² * 3² * 7

Answer:

2^2 x 3^2 x 7

Step-by-step explanation:

2----252

2---- 126

3----- 63

3------ 21

7------ 7

         1

2x2x3x3x7

In expotential form = 2^2 x 3^2 x 7

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

Answer:

Arianna bought 7 pink flowering plants.

Step-by-step explanation:

Variable x = number of pink plants

Variable y = number of purple plants

Set up a system of equations:

x + y = 15

8x + 5y = 96

Isolate variable y (I will solve using substitution):

x + y = 15

y = 15 - x

Substitute the value of y in the second equation:

8x + 5(15 - x) = 96

Use distributive property:

8x + 75 - 5x = 96

Combine like terms:

3x + 75 = 96

Isolate variable x:

3x = 21

x = 7

Answer:

10x-20

Step-by-step explanation:

(5×2x)-(5×4)

10x-20

Answer:

8 miles

Step-by-step explanation:

9.6-8=1.6

1.6 times 5 equals 8 miles

It should be noted that after 5 hours, the distance between the two runners will be 8 miles.

Distance = Speed × Time

For the first runner:

Distance covered by the first runner = Speed of the first runner × Time

= 8 mph × 5 hours

= 40 miles

For the second runner:

Distance covered by the second runner = Speed of the second runner × Time

= 9.6 mph × 5 hours

= 48 miles

Since both runners are running in the same direction, we subtract the distance covered by the first runner from the distance covered by the second runner to find the distance between them:

Distance between the runners after 5 hours = Distance covered by the second runner - Distance covered by the first runner

= 48 miles - 40 miles

= 8 miles

Learn more about distance

https://brainly.com/question/26550516

#SPJ2

Answer:

4 ÷ 5 + 1 ÷ 10 + 5 ÷ 6 = 1.733

Step-by-step explanation:

Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

Answer:

$1.15

Step-by-step explanation:

Answer:

1.15

Step-by-step explanation:

One quarter equals .25

One nickle equals .05

Add

0.25+0.25+0.25+0.25+0.05+0.05+0.05

^           ^         ^       ^

              1.00 + 0.05+0.05+0.05

                           ^          ^       ^

                                    0.15

1.00 + 0.15 =

1.15

Hope this helped.

Answer:

3 employees

Step-by-step explanation:

The best way to obtain a solution is to note the coordinate if each point on the scatter plot :

Where, the x - axis represents the number of cars sold and y - axis represents the number of trucks sold.

So, the number of employees that sold more cars than trucks exists where the x - axis value is greater than its corresponding y-axis value.

The scatter plot points : (2,4) (4,3) (3,7) (3,9) (4,8) (5,6) (5,7) (6,6) (9,0) and (10,1)

Points where x-axis > y-axis with each coordinate representing an employee :

(4,3) ; (9,0) and (10,1) = 3 employees.

Answer:

-16

Step-by-step explanation:

Follow . PEMDAS

plug the numbers in

4*2 =8 and -4*6=24

add both...

-16.

Step-by-step explanation:

4(2)+(-4)(6)

8-24

-16

hope it helps..