Two rectangles have equal areas. If the base and altitude of one are 12mm and 8mm, and the base of the other is 16mm, what is the altitude of the second rectangle?​

Answers

Answer 1

Answer:

6mm

Explanation:

since the area of both rectangle is equal, therefore :

Arectangle 1= Arectangle 2

base 1*altitude 1 =base 2*altitude 2

12mm*8mm = 16mm* altitude 2

96mm²= 16mm* altitude 2

96mm²/16mm = altitude 2

6mm = altitude 2

Answer 2
6mm

Logic


R1a • R1b=R2a • R2b

R1a=12
R1b=8
R2a=16
R2b=x

12•8=96

96=16•x

96/16=x

x=6

R2b=6



Related Questions

if the length of rectangle changes from 148.5cm to 144 cm. Find the percentage
change in the length.

Answers

Answer:

Original height = 144 cm

Increase height = 148.5 cm

Change in height = 148.5 - 144 = 4.5 cm

Percentage change = change/original ×100

= (4.5 / 148.5) × 100

= 3.03%

The height increased by 3.03%.

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

148.5 - 144 = 4.5

[tex]\frac{Difference}{Initial Amount}[/tex] × 100

[tex]\frac{4.5}{148.5}[/tex] × 100 = 3.03 ≈ 3%

I would really appreciate it if you would please mark me brainliest!

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Combine the like terms to create an equivalent expression. 5x - x

Answers

Answer:

the answer is 4x

Step-by-step explanation:

you are subtracting 1x

1 x 10^12 = 9 x 10^8 (8/d^2) solve for d

Answers

Answer: Go here https://quickmath.com/webMathematica3/quickmath/equations/solve/basic.jsp

Step-by-step explanation:

It will show you how

Select all of the expressions that are not equivalent to ax+bx+ac+bc. A.) x(a+b)+c(a+b) B.) a(x+c)+b(x+c) C.) (b+a)(c+x) D.) ax+bc E.) (a+b)(x+c) F.) ab(x+c)

Answers

Answer:

C.) (b+a)(c+x) = True

E.) (a+b)(x+c)  = True

Step-by-step explanation:

all others are not equal.

If x + 4 is one factor of x3 + 64, what is the other factor?

Answers

Answer:

[tex]\Huge \boxed{(x^2 - 4x + 16)}[/tex]

Step-by-step explanation:

x³ + 64

64 is a perfect cube. Rewrite 64 as 4³.

x³ + 4³

Apply sum of cubes formula:

a³ + b³ = (a + b)(a² - ab + b²)

a = x

b = 4

(x + 4)(x² - (x)(4) + 4²)

(x + 4)(x² - 4x + 16)

(x² - 4x + 16) is the other factor.

What is the rule for this pattern? 8, 4, 2, 1 Divide by 2. Multiply by 2. Subtract 4. Add 4.

Answers

Answer:

divide by 2

Step-by-step explanation:

because if you subtract 4 -8 =you would get 4then 4-4=0 so eliminate subtract 4 and you can tell the number isnt going higher so you wouldnt add or multiply your welcome

is -0.23 rational number whole number or integers

Answers

Answer:

rational number

Step-by-step explanation:

A whole number does not have a decimal part so it cannot be a whole number

Integers are whole numbers that are positive and negative plus zero

-.23 can be written as the ratio of integers

-23/ 100 so it is a rational number

Answer:

Rational

Step-by-step explanation:

A whole number does not have a decimal part so it cannot be a whole number

Integers are whole numbers that are positive and negative plus zero

-.23 can be written as the ratio of integers

-23/ 100 so it is a rational number

yesterday,it's was negative 7 degrees Fahrenheit outside today, it is 14 degrees Fahrenheit warmer. Click on today's temperature

Answers

what does it mean by today’s temperature

Answer:

Step-by-step explanation:

-7+14=7

D.7

How to find solutions to Discriminat

Answers

Answer:

The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions

Step-by-step explanation:

hope it help

Answer:

D = b² - 4ac

Step-by-step explanation:

if,

ax² + bx + c = 0

Write down each of the following statement
using the symbol a and the constant of pro-
portionality, k.
(a) p is directly proportional to q.
(b) y varies directly as the square of x.
(c) y varies directly as the cube of x.
(d) T varies directly as the square root of l.
(e) y is directly proportional to the cube
root of x.​

Answers

Step-by-step explanation:

Option (e) is the right answer.

Solve the following equation for D. Be sure to take into account whether a letter is
capitalized or not.
Dm3 + n=r

Answers

Answer: capitalized

Step-by-step explanation:

Which inequality is graphed on the coordinate plane shown? image ab8c68c78ad542ac8b6ec0b7c3b7976f A y>2x−6 B y≥2x−6 C y<2x−6 D y≤2x−6

Answers

Answer:

D

Step-by-step explanation:

Less than 75% of workers got their job through internet resume sites. A researcher thinks it has increased.
Express the null and alternative hypotheses in symbolic form for this claim. For example, if you have 35%, enter it as 0.35.
H0: p H1: p
Use the following codes to enter the following symbols: ? enter >= ? enter <= ? enter ! =

Answers

Answer:

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

In this case H0 is not defined as p≤ 0.75 because the acceptance and rejection regions cannot be set up. Therefore we take the exact value of H0 : p= 0.75.

The claim is that the probability of the workers getting their job through the internet is greater than 75% or 0.75.

As H0 is supposed to be less than we choose H1 to be greater than equality.

Strawberries cost $21.25 for 4 pounds. Find the unit rate. Round to the nearest cent if necessary.

Answers

Answer:

$5.31/lb

Step-by-step explanation:

Since 4 pounds cost $21.25, 1 pound of strawberries will cost 21.25 / 4 ≈ 5.31, therefore, the unit rate is $5.31/lb.

Answer:

$5.31 per pound.

Step-by-step explanation:

$21.25 for so

%21.25/4= $5.31

The answer is $5.31 per pound.

help fast plez 10 points

Answers

Answer:

Parallel lines are coplanar lines

Perpendicular lines are two coplanar lines that intersect at a right angle (90º).

Distance around an unmarked circle can NEVER be measured

So:

True

True

Never True

Ernie walked 1 1/4 miles from his cabin to a park, then 1 1/2 miles around the park, and then back to his cabin. How many miles did he walk

Answers

Answer:

4 miles

Step-by-step explanation:

1 1/4 there + 1 1/2 around + 1 1/4 back= 4 miles

the location at which two lines, line segments, or rays intersect

Answers

Answer:

vertex

Step-by-step explanation:

took the assignment a bit ago

Solve for x x/5= 5 NEED TO KNOW FAST!!!! PLEASE

Answers

Answer:

x = 25

Step-by-step explanation:

Multiplying both sides by 5 (to get rid of the denominator) gives us:

x / 5 * 5 = 5 * 5

x = 25

sam is baking cakes at her parents bakery. she gets paid $20 a week in addition to $4 for every cake she bakes. she made $60 this week. write an equation to show how many cakes sam baked this week

Answers

Answer:

She made 10 additional cakes

Step-by-step explanation:

x = additional cake

20 = base salary

y = 4x + 20

60 = 4(x) + 20

40 = 4(x)

x = 10

Kevin mowed 12 lawns and earned a total of $60.
Which rate represents the amount of money earned per lawn?

Answers

Answer:

$5

Step-by-step explanation:

$60 earned for moving 12 lawns

Amount of money per lawn is:

$60/12= $5

Answer is amount per lawn is $5

Answer:

$5

or

$5 / 1 lawn

Step-by-step explanation:

The process is quite simple - especially since you already have half of the answer.  The question says money per lawn.  The creator of the problem gave away a lot of the answer.  They already tell us the rate.  Now all ou have to do is plug the numbers in:

Money per lawn

Money / lawns (The slash is used to represent per)

What is the money? $60. So plug that in:

$60 / lawns

How many lawns? 12.  Plug that in:

$60 / 12 lawns

Now, all you have to do is either simplify the fraction or divide the denominator by the numerator - whichever one you prefer.  In that case, the rate can be any of the following:

$5

$5 / 1 lawn

Hope this helps! Tell me if I am wrong!

State the trigonometric substitution you would use to find the indefinite integral. Do not integrate. (25 + x2)−6 dx x(θ) =

Answers

Answer:

x(θ) = 5 tan θ

Step-by-step explanation:

Given that:

[tex]\int (25+x^2)^{-6} \ dx[/tex]

we are to state the trigonometric substitution to be used to find the indefinite integral.

Suppose u is the variable and a is the constant

u = x

a = 5

So; (a² + x²)ⁿ

which is a trigonometric substitution for x = a tanθ

Then,

x(θ) = 5 tan θ

In this exercise we have to use the knowledge of trigonometric substitution to calculate the indefinite integral, so we have that this is:

[tex]x(\theta) = 5 tan \theta[/tex]

Knowing that the indefinite integral corresponds to:

[tex]\int\limits {(25+x^2)^{-6}} \, dx[/tex]

we are to state the trigonometric substitution to be used to find the indefinite integral. Suppose u is the variable and a is the constant:

[tex]u = x\\a = 5\\(a^2 + x^2)^n[/tex]

Which is a trigonometric substitution for:

[tex]x = a tan\theta\\x(\theta) = 5 tan \theta[/tex]

See more about trigonometric substitution at brainly.com/question/21368433

.There is a 1/8 chance of a spinner landing on pink. Which statement is true? A. it is certain that the spinner lands on pink. B. it is impossible for the spinner to land on pink. C. it is likely that the spinner lands on pink. D. it is unlikely that the spinner lands on pink. ​

Answers

Answer:

it is unlikely that the spinner lands on pink. ​

Step-by-step explanation:

[tex]1- \frac{1}{8}\\ = 7/8[/tex]

There is 7/8 chance it is not going to land on pink

Help me please!!! Weekly time card help. $11hr

Answers

$49.50 is the answer

Answer: 8hrs

Step-by-step explanation:

Solve for X.........

Answers

Answer:

Hey there!

There is this equation, which states that the angle created by an inscribed angle is half the measure of the arc.

Thus, we can write: 60=5x-5

65=5x

x=13

Let me know if this helps :)

Answer:

x= 13

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

30= 1/2 (5x-5)

Multiply each side by 2

60 = 5x-5

Add 5 to each side

65  = 5x

Divide by 5

13 =x

flying against the wind, a jet travels 4600 miles in 5 hours. flying with the wind, the same jet travels 4200 miles in 3 hours. what is the rate of the jet in still air and what is the rate of the wind?

Answers

Answer:

The rate of the jet in still wind is 1160 MPH and the rate of the wind is 240 MPH.

Step-by-step explanation:

Distance equals rate times time (d = rt)

Against the wind, the rate is:

4600 = r * 5

r = 4600/5 = 920 MPH

With the wind, the rate is:

4200 = r * 3

r = 4200/3 = 1400 MPH

Let W be the rate of the wind in MPH. We know that:

(rate of the jet against the wind) + (rate of the wind) = (rate of the jet with the wind ) - (rate of the wind), so:

920 + W = 1400 - W

2W = 480

W = 240 MPH

And the speed of the jet in still air would be:

1400 - 240 = 1160 MPH

Solve the system by graphing
- 3x-y=2
solution (-2,0)
solution (0-2)
solution (2,0)
solution (02)

Answers

Answer:

(0,-2)

Step-by-step explanation:

Plug in each value for the equation

-3(0) - (-2) = 2

0 - (-2) = 2

2=2

The value 191.5638 rounded to the nearest hundredth is
191.564
191.5600
191.56
200

Answers

Answer:

191.56

Step-by-step explanation:

Given

191.5638

Required

Approximate

Approximating to the nearest hundredth implies that, only to digits after the decimal point is needed

This is:

191._ _

The third digit after the decimal point will approximated using the approximation rule;

Since, the third digit after the decimal point (3) is not up to 5, it'll be approximated to 0 and added to the second digit (6)

So, we have:

191.5 _

The next digit is calculated as 6 + 0 = 6

Hence, the full approximated number is 191.56

Neal opened a savings account 11 years ago with a deposit of $2,335.69. The account has an interest rate of 4.3% compounded daily. How much interest has Neal earned? (3 points)

$1,412.52

$2,436.12

$1,375.75

$3,748.21

Answers

Answer: $1,412.52

Step-by-step explanation:

Formula to calculate the accumulated amount if P principal invested for t years at a rate of interest r that compounded daily is given by:-

[tex]A=P(1+\dfrac{r}{365})^{365t}[/tex]

Given: P= $2,335.69

r= 4.3%= 0.043

t= 11 years

Then,

[tex]A=2335.69(1+\dfrac{0.043}{365})^{365\times11}\\\\=2335.69(1+0.000117808219178)^{4015}\\\\=2335.69(1.000117808219178)^{4015}\\\\= 2335.69(1.6047566747)\\\\=3748.09044309\approx3748.21\\\\\Rightarrow\ A=\$3748.21[/tex]

Interest earned = A-P

= $3748.21- 2335.69.

= $1412.52

Hence, Neal earned $1,412.52 as interest.

Use the figure to the right to find the value of PT. T is the midpoint of PQ PT=7x+9 and TQ=9x-5

Answers

Answer:

58

Step-by-step explanation:

Since, T is the mid point of PQ,

[tex] \therefore PT = TQ \\

7x + 9 = 9x - 5\\

9 + 5 = 9x - 7x\\

14 = 2x \\

\frac{14}{2} = x\\

7 = x \\

x = 7\\

PT = 7x + 9 = 7\times 7 + 9= 49 + 9 \\

PT= 58

[/tex]

the temperature was -3° c last night. it is now -4° c. what was the change in temperature

Answers

Answer:

The temperature changed by -1 degrees C.

Step-by-step explanation:

-3 + -1 = -4

Answer:

The change was by 1°c

solu.

-3+-1=-4°c.

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