Answer:
Since you do not explicitly give any formal restrictions on whether or not the dimensions must be integers, nor any relation with the width dimension. I found a solution with height equally to 20.768cm × width (19.768cm) × length (73.072 cm) Multiplying this together, we get 30,000 cubic cm
The length and breadth of a rectangle are (2x + 1) cm
and (x + 3) cm, respectively. If the area of the
rectangle is 88 cm^2 ,find:
a. the value of x
b. the perimeter of the rectangle.
Answer:
Step-by-step explanation:
Area = 88 sq.cm
length * width = 88
(2x + 1)(x + 3) = 88
2x*(x +3) + 1*(x + 3) = 88
2x*x + 2x*3 + x + 3= 88
2x² + 6x + x + 3 = 88
2x² + 7x + 3 - 88 = 0
2x² + 7x - 85 = 0
2x² - 10x + 17x - 85 = 0
2x(x - 5) + 17(x - 5) =0
(x - 5)(2x + 17 )= 0
x - 5 = 0 {Ignore 2x +17 = 0 as it gives a negative value}
x = 5
b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm
breadth = x+ 3 = 5 + 3 = 8 cm
Perimeter = 2*(length +breadth}
= 2* (11 + 8)
= 2 * 19
= 38 cm
GIVING BRAINLIEST
In the figure below, if AB=11√7 , what is CD?
CD is 11 square root of 14.
The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .
In right triangle ABE,
Measure of angle ABE = 90 degrees
Measure of angle AEB = 60 degrees
AB = 11√7
Using trigonometric ratio we have,
tan 60° = AB / BE
⇒ √3 = 11√7 / BE
⇒ BE = 11√7 / √3
⇒BE = 11√21 / 3
In right triangle BED,
Measure of angle BED = 90 degrees
Measure of angle EBD= 45°
⇒Measure of angle EDB= 45°
BE ≅ ED
BE = 11√21 / 3
⇒ED = 11√21 / 3
Using Pythagoras theorem,
BD² = BE² + ED²
⇒BD = √ 2 (11√21 / 3 )²
⇒BD = 11√21 / 3 × √2
⇒ BD = 11√42 / 3
In right triangle CDB,
Measure of ∠CDB = 90°
Measure of ∠DCB = 30°
tan 30° = BD / CD
⇒ ( 1/ √3) = 11√42 / 3 / CD
⇒ CD = [11√42 / 3 ] × √3
⇒ CD = 11√14
Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .
learn more about length here
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Find the missing value in the
equivalent ratio 12:18 = 16:
Choose
A.20
B.24
C.28
Answer:
B
Step-by-step explanation:
B because 12;18+16=B
Answer:
Find the missing value in the
equivalent ratio 12:18 = 16:
Choose
A.20
B.24
C.28
we have that
12:18 is the same that 12/18
simplify
12/18=6/9=2/3
Multiply by 8/8
(2/3)*(8/8)=16/24
therefore
the answer is the option B
Step-by-step explanation:
Joanie earns $12 per hour, plus a $20 bonus completing the training program. This week Joanie earned $240. Write an equation to represent this situation.
Answer:
(12+20)x=240
Step-by-step explanation:
x=number of hours
If she earns $12 per hour and a $20 bonus you divide that from 240 to get the number of hours she worked.
Hope this helps :)
¿Cuál es el recíproco de 3 3/7
Answer:
[tex]3 \frac{3}{7} \\ = \frac{24}{7} \\ [/tex]
[tex]The \: reciprocal \: of \: \frac{24}{7} = \frac{7}{21} .[/tex]
Which number is both a factor AND a multiple of 4? 1,2,4,8
Answer:
1,2,4,
Step-by-step explanation:
Choose yes or no to tell if the digit in the tens place is 1/10 of the value of the digit in the hundreds place 54,450
Answer:
No
Step-by-step explanation:
54,450
Digit in tens place = 5
value = 50
54,450
Digit in hundreds place = 4
value = 400
1/10 value = 40
No the digit in the tens place is more than 1/10 the value of the digit in the hundreds place
50 is greater than 40
Help? I can't get a hold of it.
|1 + 2x| + |5 − 3x| − |−5x − 8 | , is x < −10
Simplified expression is:
Answer:
steps below
Step-by-step explanation:
x < -10
|1+2x| < 0 ∴ |1+2x| = -(1+2x)
|5 − 3x| > 0 ∴ |5 − 3x| = 5-3x
|−5x − 8 | > 0 ∴ |−5x − 8 | = -5x-8
|1 + 2x| + |5 − 3x| − |−5x − 8 |
= -(1+2x) + (5-3x) - (-5x-8)
= (-2x - 3x + 5x) + (-1 + 5 + 8)
= 12
What are the x-intercepts of the graphed function?
Answer:
(-2,0) and (2,0)
Step-by-step explanation:
The x-intercepts are where the parabola touches the x-axis (aka when y is 0).
HELP ALSO CHECK OUT MY OTHER QUESTION THERE BOTH 20 POINTS!!!
jonathan needs 3 5/8 yards of blue material and 6 3/4 yards of red material. how many yard does he need in all.
A. 9 2/3
B. 9 3/8
C. 10 2/3
D. 10 3/8
Answer:
D. 10 3/8
Step-by-step explanation:
First make them into a improper fraction
[tex]\frac{29}{8} +\frac{27}{4}[/tex]
Find the lowest common denominator:
[tex]\frac{29}{8} +\frac{27*2}{4*2}[/tex]
Multiply the denominators:
[tex]\frac{29}{8} +\frac{27*2}{8}[/tex]
Multiply the numerators:
[tex]\frac{29}{8} +\frac{54}{8}[/tex]
Combine the fractions:
[tex]\frac{(29+54)}{8}[/tex]
Combine the numerators:
[tex]\frac{83}{8}[/tex]
=
[tex]10\frac{3}{8}[/tex]
Hence, D. 10 3/8 is the Correct answer.
just started algebra
Answer:
thats really great! its simple!
Great! How about your question?
how to turn 40/3 into mixed fraction please give correct abs for brainliest..
The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?
Answer:
1152 diapers are needed
Step-by-step explanation:
2 dozen babies is equall to 24 babies
-(1 dozen is 12 babies)
If 24 babies need a package of diapers which includes 48 diapers, we need to multiply 24x48 which equals 1152 diapers
Answer:1152
Step-by-step explanation:1 DOZEN MEANS 12 SO 2 DOZEN IS 12*2WHICH IS 24
NUMBER OF DIPER A BABY WOULD NEED IS 48
NUMBER OF BABIES IS 12*2 =24
THEREFORE IF 24 BABIES EACH WOULD REQUIRE A CONTAINER WITH 48 DIPERS TOTAL NUMBER OF DIPERS NEEDED IS 24*48 WHICH IS 1152
each ball has a diameter of 60mm
which has the smallest surface area?
What is the greatest perfect square that is a factor of 4725
Answer:
225 is a greatest perfect square that is a factor of 4725 .54 views
If complex number z = 3 Left-bracket cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) right-bracket, then complete the statements for z4.
The modulus of z4 would be
The coefficient in front of the argument (or angle) of z4 would be
ANSWER: 81
ANSWER: 4
Answer:
b
Step-by-step explanation:
Answer:a81
b4
Step-by-step explanation:
HELPPPPPPPP PLSSSSS ASAPPPP
Answer:
C
Step-by-step explanation:
AB and GH
What is -2(3x+12y-5-17x-16y+4) simplified?
A) -40x+8y+2
B) 28x+8y+2
C) 28x+6y+2
D) -28x-8y+2
Answer: B
Step-by-step explanation:
Multiply everything in the bracket by -2 and combine like terms
Answer:
It's B
Step-by-step explanation:
how many three-digit positive integers have exactly two digits that are the same?
there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:
Step-by-step explanation:
can anyone tell me if this is right
Answer:
yes it is correct
Step-by-step explanation:
Which are perfect square trinomials? Select two options.
x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36
Step-by-step explanation:
An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)
Answer:
x2 − 4x + 4
x2 + 10x + 25
Step-by-step explanation:
What value would you need to multiply the top equation by in order to eliminate the y variable in the following system of equations?
Answer:
-3
Step-by-step explanation:
-3 would eliminate the y so you would solve for x.
Leave a comment if this doesn't make sense ;)
Find the slope of the line through each pair of points.
(19,-4), (-3,9)
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
x changes by -22 (from 19 to -3)
y changes by +13 (from -4 to 9)
the slope is +13/-22 = -13/22
Please help im in a hurry
Answer:
I can't explain this discrepancy other than to suggest that they are talking about 2 different groups. The boss has included his salary in the average, but the employee is only concerned about the wage of the average worker.
Step-by-step explanation:
can i have help on this q plz
Answer:
No, they will need an additional £34 to stay the planned 10 nights.
Step-by-step explanation:
Attached screenshot of a spreadsheet.
The cost for 10 nights for the 2 people is £100.
The tent site rental (over 10m^2) for 10 nights is £150.
Savings for the two over the 9 weeks is £216.
They will need an additional £34 to camp as planned.
I suggest fibbing about the extra 0.5m^2 needed for the tent site. That will reduce the bill by £30, so they are only £4 short. Time to make a couple of friends.
15.6 degrees Fahrenheit in 13 minutes
Answer:
1.2 degree Fahrenheit per minute.
per minute.
Step-by-step explanation:
We are supposed to find the unit rate for 15.6°F in 13 minutes.
To find the unit rate for our given scenario, we will divide 15.6 by 13 as:
Therefore, our required unit rate would be 1.2 degree Fahrenheit per minute.
y= -3x + 5 input (x) = -2 find y output
Answer:
11
Step-by-step explanation:
Plug in - 2 for X and solve
Y= -3(-2) + 5
Answer:
11
Step-by-step explanation:
-3 (-2) + 5=
6 + 5= 11
You gotta exchange the (x) for -2
Using the remainder theorem, find F(2) for the polynomial function
F(x) = 3x3 - 5x2 + 13x - 19.
5/12 divided by 3 in fractions
Answer:
5/36
Step-by-step explanation:
First you need to find the "reciprocal" (the opposite, so the numbers switched around) of the second number, which is 3. In turn, the 3 would become 1/3. Then just multiply the two fractions which is 5/12 x 1/3 = 5/36.
Answer:
5/12 ÷3
Reciprocate
5/12× 1/3
=5/36
easy one - giving brainly if correct - show work.
Answer:
47. 1 5/8
48. 1 1/12
Step-by-step explanation:
47.
First, convert the denominators to be the same.
8 1/2 minutes, Ruby's mile time, can be converted to 8 4/8.
Then subtract.
8 4/8 - 6 7/8 = 1 5/8
48.
Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.
1 1/4 can be multiplied by 3 to get 1 3/12. And 1 1/3 can be multiplied by 4 to get 2 4/12.
Then subtract.
2 4/12 - 1 1/3 = 1 1/12