Find the width of the rectangular prism which has Surface area of 10 CM2, length of 2cm and height of 1 cm

Answers

Answer 1

Answer:

width is 1 cm

Step-by-step explanation:

The SA of a rectangular prism is SA = 2(lw + wh + hl)

We are given the length, the height, and the SA, and we need to find the width. So we plug in the known values into this equation:

10 = 2(2w + w + 1*2)

10 = 2(3w+2)

10 = 6w+4

6=6w

w=1

We can check the answer by plugging in all the values into the equation:

10 = 2(2*1+1*1+1*2)

10 = 2(5)

10 = 10


Related Questions

Find the area of triangle.

Answers

Answer:

16cm2

Step-by-step explanation:

(1/2) × 8 ×4=16cm2

the answer is 16 cm squared

Answer:

The area is 16 cm^2

Why? Below I explain.

Step-by-step explanation:

In that triangle, there are 2 sides, so you need to use this formula:

B * H / 2

Using those values:

4 * 8 / 2 is equal to 16.

−6⋅20.1x=−100

Which of the following is the solution of the equation?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
x
=
2
(
50
)
2
(
3
)
x=
log
2

(3)
log
2

(50)

x, equals, start fraction, log, start base, 2, end base, left parenthesis, 50, right parenthesis, divided by, log, start base, 2, end base, left parenthesis, 3, right parenthesis, end fraction

(Choice B)
B
x
=
10
2
(
50
3
)
x=10log
2

(
3
50

)x, equals, 10, log, start base, 2, end base, left parenthesis, start fraction, 50, divided by, 3, end fraction, right parenthesis

(Choice C)
C
x
=
10
2
(
50
)
2
(
3
)
x=
log
2

(3)
10log
2

(50)

x, equals, start fraction, 10, log, start base, 2, end base, left parenthesis, 50, right parenthesis, divided by, log, start base, 2, end base, left parenthesis, 3, right parenthesis, end fraction

(Choice D)
D
x
=
2
(
50
3
)
x=log
2

(
3
50

)x, equals, log, start base, 2, end base, left parenthesis, start fraction, 50, divided by, 3, end fraction, right parenthesis

Answers

Answer:

The answer (D)

x=log2(50/3)

Thus, [tex]x=10log_{2}\frac{50}{3}[/tex] so option (B) is the correct answer.

What is a logarithm?

"A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Just as an exponential function has three parts, a logarithm has three parts as well: a base, an argument, and an answer (also called power)".

For the given situation,

The equation is

[tex]-6(2)^{0.1x} = -100[/tex]

The equation can be expressed in logarithm as

[tex]a^{x}=b\\[/tex]

⇒ [tex]x=log_{a}b[/tex]

So, [tex]-6(2)^{0.1x} = -100[/tex]

⇒ [tex]2^{0.1x}=\frac{-100}{-6} \\[/tex]

⇒ [tex]0.1x=log_{2}\frac{50}{3}[/tex]

⇒[tex]\frac{1}{10}x=log_{2} \frac{50}{3}[/tex]

⇒[tex]x=10log_{2}\frac{50}{3}[/tex]

Hence we can conclude that [tex]x=10log_{2}\frac{50}{3}[/tex]  option (B) is the correct answer.

Learn more about logarithm here

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At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017

Answers

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

= 12,000 × (0.7)³

= 12,000 × 0.343

= 4,116

Worth of the car at the start of 2017 would be $4,116

The points A, B, C and D lie on a circle centre O.
Angle AOB = 90° angle COD= 50° and angle BCD= 1239
The line DT is a tangent to the circle at D.
Find
(a) angle OCD

Answers

A I think is the answer

The measure of angle OCD from the given figure is 58°.

Given that, the points A, B, C and D lie on a circle Centre O.

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here, OC and OB are radius of a circle, then BOC is isosceles triangle

Now, ∠BOC+∠OBC+∠OCB=180°

50°+∠OBC+∠OBC=180°

⇒ 2∠OBC=130°

⇒ ∠OBC=65°

Here, ∠OCD=∠BCD-65°

⇒ x=123-65=58°

Hence, the measure of angle OCD from the given figure is 58°.

To learn more about the circle visit:

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The radius of the circle is 7 cm. What is the area of the shaded part? Use π = 227​

Answers

Answer:

227 * 7^2

Put into calculator

Step-by-step explanation:

Area of a circle is pi * r^2 (pi times radius squared)

Just put the numbers in

227 * 7^2

Put into calculator and there you go

Need help with this question

Answers

Answer:

B.

Step-by-step explanation:

you know that (a+b+c)/d is the same as a/d + b/d + c/d.

and (a×b)/(c×d) is the same as (a/c)×(b/d).

and the powers of variables subtract when the variables are divided, and the powers add when the variables are multiplied.

14a⁸y³ / 7a⁴y

14/7 = 2

a⁸/a⁴ = a⁴

y³/y = y²

=> 2a⁴y² is the first part. that eliminates already all other answer options. only B can be right.

but let's practice and look at the second part :

-7a⁴y⁵ / 7a⁴y

-7/7 = -1

a⁴/a⁴ = 1

y⁵/y = y⁴

=> -y⁴ is the second part. B is still confirmed.

the third part :

28a¹²y² / 7a⁴y

28/7 = 4

a¹²/a⁴ = a⁸

y²/y = y

=> + 4a⁸y is the third part. B confirmed.

Write this number in scientific rotation. 1,490,000.
Answer and explain.

Answers

Answer:

4.9 x 10^5

Step-by-step explanation:

the answer is 4.9 x 10^5

1.49 x 10^6

1 490 000 = 1.49 x 1 000 000 = 1.49 x 10^6

can someone help please

Answers

Answer:

3a. (i). Sequence [tex]V_{n}[/tex] is in Arithematic

(ii). Sequence [tex]W_{n}[/tex] is in Geometric

3b. 2520 Sum of First 20 Arithmetic Sequence

3c. 98292 Sum of First 13 Geometric Sequence

Step-by-step explanation:

According to the Question,

3a. (i) Arithmetic Sequence ([tex]V_{n}[/tex]) = 12 , 24 , 36 , 48 .....

it is a sequence of numbers such that the difference between the consecutive terms is same. example → 24+12=12 , 36-24=12 , 48-36=12 ∵Common Difference=12

(ii) Geometric Sequence ([tex]W_{n}[/tex]) = 12 , 24 , 48 , 96 .....

A geometric series is a series for which the ratio of each two consecutive terms is a constant function. example → 24/12= 2 , 48/24= 2 , 96/48= 2 ∵Common Ratio=2

3b. Sum of first 20 terms of Arithematic sequence, [tex]S_{n}=\frac{n}{2}[2a + (n-1) d][/tex]

(Where, a=first term of sequence , n= number of term & d=common difference)

[tex]S_{n}[/tex]=10[2×12 + 19×12]

[tex]S_{n}[/tex] =10×252  ⇔  2520

3c. Sum Of First 13 term of a geometric sequence, [tex]S_{n}= \frac{a(r^{n}-1) }{r-1}[/tex]

(Where, a=first term of sequence , n= number of term & r= common ratio)

[tex]S_{n}[/tex]=12([tex]2^{13}[/tex]-1) / 2-1

[tex]S_{n}[/tex]=12×8191  ⇔  98292

Aere are two squares. A and B.
A
B
The length of each side of square B is 4 cm greater than the length of each side of square A.
The area of square B is 70 cm² greater than the area of square A.
Find the area of square B.
Give your answer correct to 3 significant figures.
You must show all your working.

Answers

Answer:

116 cm²

Step-by-step explanation:

a = side length of A

b = side length of B

b = a + 4

b² = a² + 70

(a+4)² = a² + 70

a² + 8a + 16 = a² + 70

8a + 16 = 70

8a = 54

a = 54/8 = 27/4 = 6.75

b² = a² + 70 = 6.75² + 70 = 45.5625 + 70 =

= 115.5625 ≈ 116 cm²

our does your teacher mean 3 significant figures after the decimal point ? then it would be

115.563 cm²

Area of base=
A)8 square units
B)6 square units
C)12 square units

Answers

Answer:

its 8

Step-by-step explanation:

4 times 2 is 8 and you cant get 6 or 12

Answer:

A

Step-by-step explanation:

Area of base = length x width = 4 * 2 = 8 square units

7.80/hour=________ cents/minute?

Answers

Answer: 0.13 cents per minute.

Step-by-step explanation:

7.80 divided by 60(min per hour.)= .13 cents.

1$ = 100 cents, 1 hour = 60 minutes

$7.80/hour = (7.8*100) cents / (1*60)minutes

= 780 cents/60 minutes

= 13 cents/minute

Manipulate the radius of the sphere, setting it to different values. In the table below, record each radius you chose and the exact volume of the sphere (in terms of π). Also calculate the decimal value of each volume, and verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)

Answers

Answer:

641654654

Step-by-step explanation:

Answer:

1) r=9 v=972

2) r=6 v=288

3) r=12 v=2,304

Step-by-step explanation:

Sample Answer on edmentum

The expression
3(x+6)-x
can be simplified to the form
2x + a)
What is the value of a?​

Answers

Answer:

a = 18

Step-by-step explanation:

3(x+6)-x = 2x + a

Distribute

3x +18 -x = 2x+a

2x +18 = 2x+a

Subtract 2x from each side

18 = a

Which steps can be done to both sides of the equation to determine the value of x ?

3.2.2 - 9.6 = 38.4
A. subtract 9.6, then multiply by 3.2.
B. Add 9.6, then multiply by 3.2.
C. Add 9.6, then divide by 3.2.
D. Subtract 9.6, then divide by 3.2.

Answers

Answer:

C. Add 9.6, then divide by 3.2.

Step-by-step explanation:

[tex]3.2x−9.6=38.4[/tex]

[tex]3.2x=38.4+9.6[/tex]

[tex]3.2x=48[/tex]

[tex]x = \frac{48}{3.2} [/tex]

[tex]x = 15[/tex]

Hope it is helpful...

Amber works as a waitress at a restaurant. She earns an hourly wage and also earns tips. One night, she worked 6 hours and earned a total of $69.20, which included tips of $15.50. Explain how the equation 6w + 15.5 = 69.2 represents this situation. Then, calculate Amber’s hourly wage.

Answers

Answer:

Hey there!

The given equation helps us understand the relationship between Amber's tips earned and the money she earned through her hourly wage. This information will add up to equal a grand total of $69.20.

We know that Amber earns $15.50 in tips during her 6 hour shift. Therefore, this is not considered part of her wage. This would be one of the constants of our equation.

We also know that Amber earns a fixed hourly wage, but we don't know what this wage is. We need to find w.

[tex]6w+15.5=\$69.20[/tex]

Subtract 15.5 from both sides of the equation (and get rid of the currency symbol).

[tex]6w=69.20-15.5\\6w=53.7[/tex]

Divide both sides of the equation by 6.

[tex]\displaystyle \frac{6w}{6}=\frac{53.7}{6}\\\\w=8.95[/tex]

Therefore, Amber's hourly wage is $8.95.

Sum one helpppp meeeee

Answers

Answer:

Step-by-step explanation:

total cost of the meal = $120

tip = 20%

tip amount = ?

total cost of the meal with tip = ?

tip amount = tip% 0f total cost of the meal

=20/100 * $120

=$2400/100

=$24

total cost of the meal with tip = total cost of the meal without tip + tip amount

=$120 + $24

=$144

Estimate the perimeter and area of the figure to the nearest whole number. Please help!!

Answers

Answer:

29 ; 37

Step-by-step explanation:

The figure is composed by a square, a rectangle, and a right triangle

The perimeter of the square is 6 units

The perimeter of the rectangle is 10 units

The triangle is composed by a side of 6 units and a side of 5 units

The third side can be find with the Pythagorean theorem

[tex]\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61}[/tex] = 7,81025

The total perimeter is

6 + 10 + 5 + 7,81025 = 28,81025 = 29

Area of the square = 2^2 = 4 square units

Area of the rectangle = 6 x 3 = 18 square units

Area of the triangle =  (5 x 6)/2 = 15 square units

Total area = 4 + 18 + 15 = 37 square units

Which row in the table is the closest to the actual solution? ​

Answers

Answer:

0.8

Step-by-step explanation:   6  22  6  06

I plotted both sides of the equation using DEMOS graphing calculator and located the intersection at (0.779, 2.135)  I found that easier than finding the delta difference of both sides of the equation for the table or solving for x.

Please help me !!!
What is the image of (-8,-1) after a reflection over the line y = -x?

Answers

Answer:

Step-by-step explanation:

Reflection of (-8 , -1) over y = -x is (-1 , 8)

Image of (x , y) over the line y = -x is (y, -x)

Answer:

reflection on the y axis (x,y)=(-x,y)

(-8,-1)=(8,-1)

Step-by-step explanation:

hope this is helpful

m∠RST =______because they are __________ (Fill in the blanks)

Answers

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .

Which of the equations below represents a line perpendicular to the yaxis?
A. y= -6
B. x= 6
C. y=6x
D. y=x

Answers

Answer:

A. y=-6

Step-by-step explanation:

Using the answer, it would make a horizontal line which would be perpendicular to the y axis.

A is the answer y=-6

Brian spends 3 5 of his wages on rent and 1 3 on food. If he makes £735 per week, how much money does he have left?

Answers

Answer :

Brian has $49 left.

Step by step explanation :

Step 1 : Find how much money Brian spends on rent and food.

First question we should be asking is what is 3/5 of 735?

Let's find that.

[tex]\frac{3}{5}[/tex] * [tex]\frac{735}{1}[/tex]

= [tex]\frac{(3)(735)}{(5)(1)}[/tex]

= [tex]\frac{2205}{5}[/tex]

= 441

We know Brian spends $441 on rent. Now we find how much he spends on food.

[tex]\frac{1}{3} * \frac{735}{1}[/tex]

= [tex]\frac{(1)(735)}{(3)(1)}[/tex]

= [tex]\frac{735}{3}[/tex]

= 245

Brian spends $245 on food.

Step 2 : Add what he spends on rent and food together.

$441 + $245 = $686

Step 3 : To find out how much money Brian has left, we subtract $686 from $735.

$735 - $686 = $49

Conclusion : Brian has $49 left.

Hope this helps, please mark brainliest if possible. Have a nice day.

Find the zeros of the function f(x) = (x + 2)(x - 3)(x + 12)

Answers

Step-by-step explanation:

f(x) = (x + 2)(x - 3)(x + 12) = 0

(x + 2)(x - 3)(x + 12) = 0

so, the zeros of the function :

=> x1 = -2

=> x2= 3

=> x3 = -12

part A: Which expression can be used to find the value of x in the triangle shown?
part B: write the value of x to the nearest tenth.

Answers

Answer:

D and x=11.55

Step-by-step explanation:

A line has the equation 3x–4y–12=0 what is the slope of this line

Answers

Answer:

The slope of this line is 3/4.

Step-by-step explanation:

Solving this equation 3x–4y–12=0 for y puts the equation into the form

                                            y = mx + b, where m is the slope of the line.

One way of solving for 4y here is to add 4y to both sides, obtaining:

                                           3x - 12 = 4y

Dividing all three terms by 4 yields

                                              y = (3/4)x - 3

The slope of this line is 3/4.

If a,b, and c are three different numbers, which of the following equations has no solutions?

A. ax= bx+c
B. ax+b=ax+c
C. ax+b=ax+b

Answers

Answer:

C

Step-by-step explanation:

if you divide both sides by ax+b you get 1=1 which is not a solution for x.

7.2 cm
6 cm
15 cm
8 cm

Answers

Answer:

i need to know the answer or the question plz

Which function has zeros at x = -2 and x = 5? ​

Answers

Answer:

f(x) = x² - 3x - 10

Step-by-step explanation:

Given zeros x = - 2 and x = 5, then the corresponding factors are

(x + 2) and (x - 5) , so

f(x) = (x + 2)(x - 5) ← expand using FOIL

     = X² - 3X - 10

Answer:

f(x) = x² - 3x - 10

(option D)

Step-by-step explanation:

If a +b+c=9 and a square +b square +square =1 then ab+bc+ca

Answers

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca

I really need help with this question as fast as possible​

Answers

Answer:

-1625

Step-by-step explanation:

→ (-125) × 5 + (-125) × 8

Taking (-125) as in common,

→ (-125) × (8 + 5)

→ (-125) × 13

-1625

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