A company sells two different safes. The safes have different dimensions, but the same volume. What is the height of Safe B?

Answers

Answer 1

Let Safe A have dimensions x, y, and z and Safe B have dimensions p, q, and r.

Since both the safes have the same volume; therefore,[tex]x * y * z = p * q *[/tex]rWe need to find the height of Safe B.Let's consider the height of Safe A to be h1 and the height of Safe B to be h2.According to the question, the volume of both safes is the same, thereforeh[tex]1 * y * z = h2 * q *[/tex] rDividing both sides by h2;h1 * y * z / h2 = q * r ...(1)Now, according to the question, both safes have different dimensions but the same volume; therefore,x * y * z = p * q * r => x / p = r / ySo, r = y * x / pSubstituting r in equation (1);[tex]h1 * y * z / h2 = q * (y * x / p) => h1 * y * z * p / (h2 * x) = q ... (h1 * y * z * a / h2 = q * x ... (* z * a = h2 * x[/tex]* bLet's assume that z = 1. Therefore, the height of Safe A is h1.Now, Safe A's dimensions are (x, y, 1) and Safe B's dimensions are (a, b, x * b / a).Both safes have the same volume. Therefore,[tex]x * y * 1 = a * b * (x * b / a) => y = b^2[/tex] / aTherefore, the height of Safe B is:[tex]q = h1 * z * a / (x * b) => h1 * a[/tex] / bAns: The height of Safe B is h1 * a / b.

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Related Questions

Please help me :(.......

Answers

Answer:

He makes £470 profit

Step-by-step explanation:

He pays $160 for 60 jumpers.

He sells 80% (48) for $12 each. Income of $576

He puts the remaining (12) on sale for one full one half off.

He sells 3 for half price ($6) and 3 for full price ($12) Income of $54

$576 + $54 = $630

$630 - $160 = $470

In pounds sorry about the USD

Allan and Robert are viewing a kite in the air. The kite
has an altitude of 205 feet. The angles of elevation
from the ground are shown in the picture below.
What is the total distance between Allan (Point A)
and Robert (Point R)?
A. 292.9
B.166.0
C. 458.9
D. 24.5

Answers

[tex]tan \: a = \frac{opp}{adj} = \frac{205}{adj} [/tex]

[tex]adj = \frac{205}{ \tan(35) } [/tex]

[tex]adj = 292.7703414[/tex]

[tex]tan \: r = \frac{opp}{adj} = \frac{205}{adj} [/tex]

[tex]adj = \frac{205}{ \tan(51) } [/tex]

[tex]adj = 166.0057268[/tex]

[tex]292.7703414 + 166.0057268[/tex]

[tex] = 458.7760682 \: ft.[/tex]

round as you wish.

2/16 2 + x = 12
what is the answer to this equation?

Answers

Answer:

nomelase pero será chida la imagen que tienes

Integer exponents

1. 2(9x - 2y) =

2. 2k3 (2k2 + 5k - 4) =

3. 7(6x2 + 9xy + 10y2) =

4. 8x (6x + 6) =

5. 8r2 (4r2 - 5r +7) =

Answers

all answers are in the photo

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

is this right if it's not can you help me please

Answers

Answer:

I think its right. It look good to me. But always make sure its right before submitting

A number cube is numbered 1 through 6. What is the theoretical probablity of rolling an even number?

Answers

A 3/6 of a chance because there’s 3 even numbers also 50% chance or 1/2 chance

It’s 1/2! Or you could say 3/6. This is because in 1-6 there are 3 even Numbers and that would be half of the 6 sides are even numbers! Hope this helps! :)

Select one or more expressions that together represent all solutions to the equation.
sin(x)=-0.7

Answers

Answer:

A. [tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]

B. [tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]

Step-by-step explanation:

The negative value of the sine function indicates that [tex]x[/tex] is located at third and fourth quadrants. Besides, this function has a period of 360º. There are two families of solutions:

[tex]x_{1} = \sin^{-1} (-0.7)[/tex]

[tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]

[tex]x_{2} = \sin^{-1} (-0.7)[/tex]

[tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]

Hence, right answers are A and B.

Larry's small business has $60,000 dollars in its account and makes automatic
monthly payments that total $12,000.

Answers

Answer:

nice flex

Step-by-step explanation:

help asap look at ss

Answers

Answer:

they are 3

Step-by-step explanation:

can you help me please

Answers

This question is much easier than the last one. As we can see the yellow are is the same as the bottom area with the same shape. And the area of the 2 hemispheres adds together to a full circle area: 3^2*pi=9pi

Area of yellow region=(36-9pi)/2=18-9/2pi=3.862 and round this to the nearest tenth getting 3.9.

56 boys and 34 girls visit a zoo.
46 of these children have a voucher.
Three times as many boys as girls do not have a voucher.
Complete the frequency tree.

Answers

Answer:

the amount of boys that HAVE a voucher is 23

the amount of girls that HAVE a voucher is 23

Step-by-step explanation:

Answer: follow for more answers concerning maths, biology physics and chemistry

Step-by-step explanation:

simplify Cos(a+b) +Cos(a+b)

Answers

At the risk of piling on after correct answers have already been given, I’ll offer another way to address this problem. Recall that, if
θ
is real, cos()=Re()
cos
⁡
(
θ
)
=
R
e
(
e
i
θ
)
. So, with
A
and
B
real,

(+)+(−)=(+−)=2cos()
e
i
(
A
+
B
)
+
e
i
(
A
−
B
)
=
e
i
A
(
e
i
B
+
e
−
i
B
)
=
2
e
i
A
cos
⁡
(
B
)

Finally,

cos(+)+cos(−)=Re((+)+(−))=Re(2cos())
cos
⁡
(
A
+
B
)
+
cos
⁡
(
A
−
B
)
=
R
e
(
e
i
(
A
+
B
)
+
e
i
(
A
−
B
)
)
=
R
e
(
2
e
i
A
cos
⁡
(
B
)
)

=2cos()cos()

Write a Haiku about science please! Have a great day :)

Answers

Answer:

in Earth, space, the trees

science is all around us

answer life's questions

Step-by-step explanation:

Haikus must be written with 5 syllables in the first line, 7 in the second, and 5 again in the 3rd, so they are naturally limited and simplistic. Hope this helps, and brainliest is always appreciated! Enjoy your day bro!

I will mark you brainliests help me with this please

Answers

Answer:

[tex]G=cos(x) -1[/tex]

Inequality from graph
Choose the inequality that represents the following graph.
MY
Cou
-5
14
13
12
+
5
1
0
1
2
3
4
MY
Choose 1 answers
Pro
21
Pro
Теа
2011
2-1
2-1
Hi

Answers

Answer:

A. x < -1

Step-by-step explanation:

Because the direction of the vector is less than -1 and the dot on -1 isn't filled (not equal to)

Answer:

option a and b is the inequality that represents the following grap

hi hello! please help me.

Answers

Answer:

x= -4

Step-by-step explanation:

hope it's helpful to you

Answer:

A) x= -4

Step-by-step explanation:

To solve you must isolate the variable. Do this by using the properties of equality to subtract and divide numbers from both sides of the equation. First, subtract 8x to move all x terms to the right side.

-48=12x

Then, divide both sides by 12

-4=x

Which of the following sets of side
lengths would not form a triangle?
A 29, 39, 69
B 29, 38, 49
C 29, 41, 19
D 29, 37, 10

Answers

Answer:

Step-by-step explanation:

Because 29+39=68

68<69

therefore this would not make a triangle!

Answer:

Step-by-step explanation:

29 + 39 = 68 which is less than 69 so A is not a triangle.

the next term of the square 3 by 1

Answers

9514 1404 393

Answer:

(B) 1/27

Step-by-step explanation:

The terms of the sequence have a common ratio.

(1/8)/(3/16) = (2/16)/(3/16) = 2/3

(1/12)/(1/8) = (2/24)/(3/24) = 2/3

(1/18)/(1/12) = 12/18 = 2/3

The next term will be ...

(1/18)(2/3) = 2/54 = 1/27 . . . . matches choice B

Simplify the expression. -6 1/3-1/2(1/2+x)

Answers

Answer:

-79/12 - x/2

Step-by-step explanation:

Simplify ⏬

Need help ASAP
Thankss + BRAINLIST only for correct answer

Answers

Answer:

y = 4

Step-by-step explanation:

x + 2y = 10 ⇒ 2y - 10 = -x

-x + 4y = 14

2y - 10 + 4y = 14

6y = 24

y = 4

Type the correct answer in the box. Round your answer to the nearest tenth.
B
R=?
F = 38 N
501
F = 40 N
Two forces. 5 and 5 are acting on a body, as shown in the figure. The resultant force, RIS
newtons
Please answer

Answers

35 N
Hope this works!

Reasoning. A salesperson's commission rate is 6%. What is the commission from the sale of $35,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations.

Answers

Answer:2,100

Step-by-step explanation:

a train travels 16 miles in 20 minutes . at this rate how many minutes will it take to tavel 12 miles

Answers

Answer:

15 minutes

Step-by-step explanation:

distance = rate · time

16 = 20r

r = 16/20 or 4/5 miles per minute

12 = 4/5·t

4t = 12·5

t = 60/4 or 15 minutes

I got it wrong and I don't have time to fix it, I don't know how to delete my response do just report this I guess ;-;

NEEDED ASAP WILL MARK AS BRAINLIEST
Here are two right-angled triangles.
Given that tan a = tan b
find the value of x.
You must show all your working.

Answers

Explanation:

This might not be how you are supposed to do it but,

We can see the two triangles are similar because AA similarity.

We know that the sides are proportional so we can make:

[tex]\frac{x+2}{x}=\frac{4}{3x-1}[/tex]

We get,

[tex]3x^2+5x-2=4x\\3x^2+x-2\\(3x-2)(x+1)=0\\x=2/3, x=-1[/tex]

Because sides can't be negative, x = 2/3

Answer:

x=2/3 = 0.7

Step-by-step explanation:

X+2/x = 4/3x-1

=(X+2)(3x-1)=4x

(x+2)(3x-1)-4x=0

3x²-x+6x-2-4x=0

3x²+x-2=0

3x²+3x-2x-2=0

3x(x+1)-2(x+1)

(x+1)(3x-2)=0

x+1=0

3x-2=0

x=-1 or 2/3

x=2/3 = 0.7

find x=, if x+4=10 please hurry!!!

Answers

The answer is x= 6

6 + 4 is = 10.

Answer:

x=6

Step-by-step explanation:

+4=10

+4-4=10−4

x=6

sole this question ?
30÷5+(9×5)-3²=

Answers

Answer:

30÷5+(45)-96+45-942I do exams and quizzes if ur interested

Answer:

Step-by-step explanation:

30/5 + ( 9)(5)−32

= 6 + ( 9)(5)−32

= 6 + 45−32

= 51 − 32

= 51 − 9

= 42

hope I helped!!

is y = -x a proportional relationship

Answers

Answer:

For any proportional relationship, k=yx (such as a line that passes through the origin). Find the equation of the line by solving for y in the constant of proportionality equation. This equation y=kx is another representation of a proportional relationship.

Step-by-step explanation:

Answer:

Yes kdsjsbahajajsjsbsbsbsnsn

Write the equation for this line in slope-intercept form.
y=-2x+?

A. -4
B. 2
C. -2
D. -1/2

Please explain as simply as you can I'm really struggling. Also will give brainly

Answers

Answer:

The answer is A. -4.

Step-by-step explanation:

The missing value you are looking for is the y-intercept or where the line crosses the y axis.

Your answer would be A. -4 because that’s where your line intercepts the y-axis

1) Find the linear equation from the
graph:

Answers

Answer:

y = -1/2 x - 3

Step-by-step explanation:

Use the coordinates from the graph:

(-6, 0) and (0, -3)

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

m = -3/6

m = -1/2

The y-intercept is -3 (point where the line meet the y intercept)

Substitute unto the expression y = mx+c

y = -1/2 x - 3

Hence the required equation is y = -1/2 x - 3

G(x)=-x-3, find g(1)

Answers

Answer:

G(1) = -2

Step-by-step explanation:

for G(1) replace x with 1

G(1)=1-3

subtract

1-3 = -2

so G(1) = -2

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