The Crunchy Cereal Company has a certain size box with the following
dimensions.
Length = x+3
Width = x-4
Height = 2x+3.
What is the expression for the volume of the box?

Answer:

AB=BC

4X-1=1+2x so x=1 and both sides are 3

Step-by-step explanation:

since bd is a perpendicular bisector the two triangles formed are congruent so AB=BC

4X-1=1+2x so x=1 and both sides are 3

Answer:

1/32

Step-by-step explanation:

Because each denominator is multiplied by 2

Answer:

Answer is D hope this helps

Step-by-step explanation:

Answer:

v=Bh

12*8= 96. <---B

2 <----h

v=192

Step-by-step explanation:

I hope that helps

Answer:

21.13 m

Step-by-step explanation:

Height of the string, (Hyoptenuse) = 50 m

The kite makes an angle of elevation with the ground of 25°.

We need to find how high is the kite above the ground. Let it is h. We can find it using trigonometry as follows :

[tex]\sin\theta=\dfrac{P}{H}\\\\h=H\sin\theta\\\\h=50\times \sin(25)\\\\H=21.13\ m[/tex]

So, the required height is 21.13 m.

Answer:

7x=5x/67

Step-by-step explanation:

Answer:

904.32

Step-by-step explanation:

find the volume of the cylinder using V=πr^2h

V = (3.14)(6)^2(8)

V = 904.32

Answer:

f(x) = 10x2 – 17x + 3

f(x) = 10x2 – 15x -2x + 3

f(x) = 5x(2x – 3) -1(2x - 3)

f(x) = (2x – 3)(5x -1)

Step-by-step explanation:

Answer:

hello!!

your answer is 22

Step-by-step explanation:

Answer:

5 x 5^2=125

Step-by-step explanation:

Answer:q=3

Step-by-step explanation:

14 multiplied by 3 equals 42

Answer: q = 3

Step-by-step explanation:

14q/14 = 1q

42/14 = 3

1q = 3

q = 3

Answer: I am not sure but you can do research on what you are looking for like I always do and get it right

Step-by-step explanation:

The equation of the line of best fit of the scatter plot is y = 1/2x + 3

The scatter plot passes through the points

(0,3) and (6,6)

The slope is calculated using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (6 - 3)/(6 - 0)

Evaluate

m = 1/2

The graph cross the y-axis at y = 3

So, the equation of the line of best fit is:

y = 1/2x + 3

This means that:

x = 2 1/3

So, we have:

y = 1/2 * 2 1/3 + 3

Evaluate

y = 1 1/6 + 3

Add the expressions

y = 4 1/6

Hence, the temperature if the thickness is 2 1/3 inches is 4 1/6°F

This means that:

y = 12

So, we have:

12 = 1/2 * x + 3

Subtract 3  from both sides

9 = 1/2 x

Multiply through by 2

x = 18

Hence, the thickness if the temperature is 12°F is 18 inches

Read more about scatter plots at:

https://brainly.com/question/6592115

Answer:

BE=15

Step-by-step explanation:

Since E is the center, BE=2x+1

And AC is 6x-12 with E being a midpoint.

Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that

you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE

6x-12=4x+2

BD=AC

6x-4x-12=2

2x=2+12

2x=14

x=7

BE= 2x+1

2(7)=14+1=15

Answer:

the first one

Step-by-step explanation:

-.8x + 4.8y + 16

hope this helps

Answer:

6.50m=c

m/c=6.50

6.50/c=m

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the law of Cosines so that you can solve a SSS triangle

Cos(C) = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex]  / 2ab

c is the side of 24 for our triangle and angle C is the top one in the picture.

C = arcCos ( [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex]  / 2ab )

C = arcCos ( -32 / 480 )

C = 93.82255373 °

the angles at the top are each half of that or 46.91127 °

let's solve another angle for the big triangle now let's go for the one on the left and call it A

Cos(A) = [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex]  / 2bc   where a = 20

A = arcCos( [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex]  / 2bc)

A = arcCos( [tex]24^{2}[/tex] + [tex]12^{2}[/tex] - [tex]20^{2}[/tex] / 2*12*24

A = arcCos(320 / 576)

A = 56.2510 °

then angle B is  180 =93.823 + 56.251 + B

29.926 ° = B

so now we know all 3 angles.. seems like a lot of work , huh  :D

for the triangle with the question mark we now know two angles and the Hyp, so let's use Law of Sines to find that last side  :)

Sin(A)/a = Sin(B) /b  where A can be the angle at the top and B can be the angle at the base. which we have to find still  :/  

it's 180 = 46.9112 + 29.926 + B

103.162 = B

Sin(46.91127 ) / a = Sin(103.162) /20

Sin(46.91127 ) * 20 / Sin(103.162) = a

14.99998 = a    I feel confident this is supposed to be 15 and I have a tiny bit of rounding error..

? = 15   there you go  

your answer is 15

Step-by-step explanation:

√(20+5²)=√{20+25}=√45=3√5

Answer:

c. 5.5

Step-by-step explanation:

Answer:

([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Step-by-step explanation:

Using the factorising method, difference of 2 squares

a² - b² = (a - b)(a + b) , then

5n² - 16

= ([tex]\sqrt{5}[/tex] n )² - 4²

= ([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Answer:

A number

Step-by-step explanation:

maths

jenny has 56 books

Step-by-step explanation:

So she has six more or 12% more

Answer:

60%

Step-by-step explanation:

57/95 = 0.6 = 60%

Hope that helps!

-Sabrina

Answer:

39.6

Step-by-step explanation:

if

10=22

18=x

18x22=396/10= 39.6

Answer:

9.4km

Step-by-step explanation:

6.2^2 +7.1^2 = x^2

so 38.44+ 50.41= 88.85

x^2= 88.85 so x = 9.4

Sorry if it's really confusing lol, if you need help i could explain it further but your answer is 9.4

Answer:

∠A=26º

∠B=137º

∠C=17º

Step-by-step explanation:

We can use the Law of Cosines because we have all 3 side lengths.

cosA = [tex]b^2+c^2-a^2/2bc[/tex]

cosA=28^2+12^2-18^2 / 2(28)(12)

cosA=604/672

cos-1(604/672

angle A ≈ 26º

cosB =  [tex]c^2+a^2-b^2/2ca[/tex]

cosB=-316/432

cos-1(-316/432

angle B ≈ 137º

26+137=163

180-163=17

angle C ≈ 17º

Answer:

1 inch

Step-by-step explanation:

IT ONE INCH NOW HURRY!!!

Answer:

a = 54

b = 18

Step-by-step explanation:

ABCD is a square. It's diagonals AC and BD intersects at G.

Since, diagonals of a square bisects at right angles.

[tex] \therefore m\angle AGD = 90\degree [/tex]

[tex] \implies a + 2b = 90\degree [/tex]

[tex] \therefore a = 90\degree - 2b.....(1)[/tex]

Since, measure of each angle of a square is right angle.

[tex] \therefore m\angle ABC = 90\degree [/tex]

[tex] \implies 2a-b = 90\degree.......(2) [/tex]

From equations (1) & (2)

2(90° - 2b) - b = 90°

180° - 4b - b = 90°

-5b = 90° - 180°

-5b = - 90°

b = - 90°/(-5)

b = 18

Plug b = 18 in equation (1)

a = 90° - 2*18

a = 90° - 36°

a = 54

Answer:

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Because 10 less than 20 mean 20 is not greater so B. ) is correct