1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
3241004551 [841]
3 years ago
8

If the dimensions of a rectangle are A plus 3b and A minus 3b what is the area of the rectangle

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

area=legnth times width

we notice this is a special case

(a+b)(a-b)=a^2-b^2

area=(a+3b)(a-3b)=a^2-9b^2

area=a^2-9b^2

You might be interested in
In the figure below, the segment is parallel to one side of the triangle. The ratio of 12 to y is 1:2 1:3 1:4 2:3
Brrunno [24]

Answer:

Option B. 1 : 3

Step-by-step explanation:

There are two triangles shown in the picture attached ΔABC and ΔCD.

In these triangles sides AB and DE are parallel and BC is transverse line so ∠ABC = ∠EDC (corresponding angles)

Similarly AC is transverse to parallel lines AB and DE, so ∠BAC = ∠DEC (corresponding angles)

∠ACB is common in both the triangles.

Therefore ΔABC and ΔDEC are similar.

We know in similar triangles corresponding sides are in the same ratio.

\frac{AB}{ED}=\frac{AC}{EC}

\frac{y}{12}=\frac{30+15}{15}=\frac{45}{15}=3:1

Therefore ratio of y and 12 is equal to 3 : 1

Or ratio of 12 to y is 1 : 3

Option B is the answer.

7 0
3 years ago
Read 2 more answers
How to change a decimal into a hole number
marissa [1.9K]

Answer:

Step 1: Write down the decimal divided by 1, like this: decimal 1. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) Step 3: Simplify (or reduce) the fraction.

Step-by-step explanation:

8 0
3 years ago
A retail store did research and determined that, on average, each customer spends 40 minutes in their store per visit, with a st
Blababa [14]

Answer:

0.13% of customers spend more than 46 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 40, \sigma = 2

What percentage of customers spend more than 46 minutes?

This is 1 subtracted by the pvalue of Z when X = 46. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{46 - 40}{2}

Z = 3

Z = 3 has a pvalue of 0.9987

1 - 0.9987 = 0.0013

0.13% of customers spend more than 46 minutes

6 0
2 years ago
Find an expression equivalent to the one shown below.
TEA [102]

Answer:

  C)  1/6^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(b·c)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

_____

Using these rules, your expression simplifies to ...

  6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32

6 0
3 years ago
The circumference of a dime is 56.52 mm find the diameter
Snowcat [4.5K]
Circumference= pi × d
So
d= circumference/pi
So to find out the diameter, just do 56.52/pi= 17.99mm (2 d.p.)
3 0
3 years ago
Read 2 more answers
Other questions:
  • A particular manufacturing design requires a shaft with a diameter between 23.92 and 24.018 mm. The manufacturing process yields
    6·1 answer
  • Bill is doing a fundraiser for soccer. He needs to sell at least $100 worth of items. Candy bars cost $2 each and shirts cost $1
    12·1 answer
  • setsuko has a rectangular piece of farbric that is 5/6 yard wide. The area of the fabric is 5/16 square yard. How long is setsuk
    11·1 answer
  • One more than four times a number b is 17
    5·2 answers
  • 424×3 write a matching expression
    15·1 answer
  • A rhombus is enlarged and has a new perimeter of 40 feet. If the original perimeter was 10 feet, by what factor was the rhombus
    9·2 answers
  • Which function is shown in the<br> graph below?
    8·1 answer
  • Find the total cost to the nearest cent. $46 shoes; 2.9% tax
    7·2 answers
  • The circumference of a circle is 22π in. What is the area, in square inches? Express your answer in terms of \piπ.
    8·1 answer
  • For which function is it true ???<br> -
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!