Find k given that these three points are collinear.
A(0, -2), B(2, 0), and C(5, k)

Answer:

27 degrees

Step-by-step explanation:

So looking at this rhombus, we can make out 4 seperate traingles.

How many degrees are in a traingle? 180.

Looking at the traingle with z angle in it, we can see that it is a right traingle.

Now, lets subtract that 90 degrees from the 180.

This leaves us with the 63 degrees and x that make up the 90 degrees that are left.

Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.

90 minus 63 is 27, so the angle of z is:

27 degrees

I hope this helps!

Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.

Answer:

i. The company should use the cylindrical tubes.

ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Step-by-step explanation:

i, Which packaging should the company choose?

The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.

For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box  is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.

So, ,A = 2(lb + lh + bh)

,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)

A = 2(24cm + 56 cm + 21cm)

A = 2(101 cm²)

A = 202 cm²

For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.

Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.

So, A' = 2πr(r + h)

A' = 2π(3 cm)(3 cm + 6cm)

A' = (6π cm)(9 cm)

A' = 54π cm²

A' = 169.65 cm²

Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

The company should use the cylindrical tubes.

ii. Justify your choice.

This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Answer:

ec and  obtuse triangle

Answer:

40

Step-by-step explanation:

it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry

Answer:

How many volunteers worked a total of 4 hours

Step-by-step explanation:

Its right i got a one hundred my test

Answer:

How many volunteers worked at a total of 4 hours?

Step-by-step explanation:

Answer:62.5%

Step-by-step explanation:

Answer:

try clicking on another option?

Answer:

226 inches cube

Step-by-step explanation:

The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.

Answer:

151 in^3

Step-by-step explanation:

pi x 3^2 x 5.5 (the approximate water level)

= 155

151 is the closest answer

Answer:

oh no i dunno how to do this

Step-by-step explanation:

Answer:

36, 6, (1/)36

1/6 ^ -2 = 6^2 = 36

1/6 ^ -1 = 6^1 = 6

1/6 ^2 = 1/36

Answer: 6 for $4.99

Step-by-step explanation: You would be better off buying 6 for $4.99 because the unit rate of each bottle is cheaper. You can find the unit rate by dividing 4.99 by 6 which equals .83

If you were to buy 6 for .89 you would end up spending $5.34.

Hope this helps :)

Answer:

6 for 4.99

Step-by-step explanation:

.89 x 6= 5.34

AnswThe answer would be 5 and 86

Step-by-step explanation:

sulitions are 5 and 86

Answer:

x = 1/5 , -3/5 ??

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation:

in the question they want the shortest side length of the triangle and they gave you the perimeter.

what we want to find is the x value.

so,

perimeter= the sum of all sides.

substituting,

80= 5x + 32 + 2 (3x+2)

80= 5x +32+6x+4

80=11x+36

80-36=11x

44=11x

44/11=x

4=x

so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.

5*4=20

32

2 (3*4+2)=28

so the shortest length is 20.

we can also check our answer to see if it is correct.

20+33+28= 80.

Answer:

a) 12.5 in

b) 9.6 ft

Step-by-step explanation:

Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.

You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!

Hope this helps! :)

Answer:

v=-16

Step-by-step explanation:

-2=2+v/4

(we know that 2+-4=-2 so we can see if that works)

(4*-4=-16)

2+-16/4=-2

(-16/4=-4)

2+-4=-2

Answer:

Nosotros teníamos 120 dólares.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:

(i) Tu tienes la mitad de lo que tenías:

[tex]y = \frac{1}{2}\cdot x[/tex] (1)

(ii) Tendrás el triple lo que tienes:

[tex]z = 3\cdot y[/tex] (2)

(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:

[tex]x+y+z = z + 180[/tex]

[tex]x + y = 180[/tex] (3)

En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:

[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)

[tex]3\cdot y - z = 0[/tex] (2)

[tex]x + y = 180[/tex] (3)

La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].

Nosotros teníamos 120 dólares.

Answer:

c

Step-by-step explanation:

it passes vertical line test and is linear

Answer:

C

Step-by-step explanation:

The answer is C. Hoped it helped.

Answer: A: find the product of D and $2.25 and the product of t and $0.75. Then find the sum of the two products.

The total fare for the bus can be found by first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

The total fare for the bus can be calculated using the expression

d × 2.25 + t × 0.75

Here d is the total days that Kelly worked in a month.

On each of these days, she pays a fare of $2.25.

Total fare now = d × 2.25

Find this product.

There is also an additional fare of $0.75 to transfer onto another bus on t of these days.

Additional fare = t × 0.75

Find this product.

Add the resultant both products.

Hence the statement which explains how to find Kelly's total bus fare for the month is first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

Learn more about Expressions here :

https://brainly.com/question/28172855

#SPJ2

Answer:

The answer is D

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

3

2) 27

---- = 3

9

for the sequence

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

n

7

= 3 × 3

= 3 × 2187 = 6561

Answer:

X= y/2-2

Step-by-step explanation:

Well to isoalte x just do the same thing you would do for y,

Isolate the numbers without a variable buy subtravting 4 on each side.

y-4=2x

Now isolate 2 and x by divide 2 on both sides

y/2-2=x

This can be determined by the simple mathematical concepts.  Therefore the value of x is,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]   the subject of he formula y=2x+4.

Given that the subject of the formula y=2x+4.

We have to find x.

According to the question,

To obtained the value of x by the  given formula

i.e.  y = 2x+4                   .....(1)

Now the value of x is from the above equation (1)...

[tex]\bold{x=\dfrac{y-4}{2} }[/tex]

Hence, the value of x ,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]    makes x the subject of the formula y=2x+4.        

For further details,please refer this link:

https://brainly.com/question/20632687

P = 312.50

t = 9

r = ?

P(t) = P(9) = 1250

P(t) = Pe^(rt)

P(t) = Pe^(rt)

1250 = (312.50)e^(9r)

1250/312.5 = e^(9r)

4 = e^(9r)

ln(4) = ln(e^(9r))

ln(4) = (9r)ln(e)

[cancel out the e with ln on right side]

ln(4) = (9r)

ln(4) /9 = r

0.15 = r

The compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.

A savings account is a type of account where an individual can save money for future purposes.

Here we havethe following information;

Principal = $312.50

Time = 9 years

Amount =  $1250.

rate = ?

Using the formula;

A = P(1 + r/n)^nt

Where n =1

1250 = 312.50( 1 + r)^9

1250/312.50 = ( 1 + r)^9

4 = ( 1 + r)^9

1.16 = 1 + r

r = 1.16 -1

r = 0.16 or 16%

Learn more about compound interest: https://brainly.com/question/9904853?

Answer:

1/12

Step-by-step explanation:

[tex]\frac{1}{4} - \frac{1}{6}[/tex]

[tex]\frac{6 - 4}{24}[/tex]

[tex]\frac{2}{24}[/tex]

Converting to its simplest form, divide numerator and denominator by 2 = 1/12

Answer:

Step-by-step explanation:

q = 51

Writing these statements symbolically, we get p = k/q.  This is inverse variation.

Solving for k, we get k = pq.  Thus the governing equation is k = pq, or k = (17)(15) = 255.

We then have a specific equation:  p = 255/q, or q = 255/p.

If p is 5, q is   q = 255/5 = 51

Answer:

6.8cm

Step-by-step explanation:

I dont have an explanation

Answer:

Bottom right equation

Answer:

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Step-by-step explanation:

A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:

[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]

[tex]x = \frac{\pi}{6}\,rad[/tex]

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Answer:

91.61

Step-by-step explanation:

A=πr2=π·5.42≈91.60884

hope this helps give me crown