Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10
Answer:
plz mark me as brainiest
If BH = 108, find DE.
Answer:
BH= 108 --> 1st until 6th space
so, 108/6 = 18 for each space
DE...?
DE only use 1 space so the answers is 18 unit
I hope this helps^_^
A class has 25 students in it. 4 students drop the class. What is a reasonable estimate for the percentage of students that dropped?
Answer:
16% drop
Step-by-step explanation:
4/25 drop
Multiply by 4/4
16/100
16% drop
Answer:
16%
Step-by-step explanation:
SInce 4 students left the class, and there are 25 students, let's make it a fraction.
4/25.
As it is asking for a percentage though we could simply convert our fraction to a percentage.
Simply divide the numerator (4) by the denominator (25).
This gives us 0.16.
Which is 16%.
What is the answer that = n?
Answer:
n = 5
Step-by-step explanation:
To start off, we know that whenever the bases are the same, their exponents are equal to each other. Therefore, since both of the numbers bases are the same (both are z), we know that they will be equal.
The n can be distributed to the [tex]z^2[/tex] so that it now reads to be:
[tex]z^2^n = z^{10}[/tex]
Exponents are equal, so:
2n=10
Divide the 2 on both sides:
n=5
Answer:
n =5
Step-by-step explanation:
z^2^n
We know that a^b^c = a^ (b*c)
z^(2n)
This is equal to z^10
Since the bases are the same, the exponents are the same
2n = 10
Divide by 2
2n/2 = 10/2
n = 5
A shop sells DVDs and CDs.
DVDs are sold at one price.
CDs are sold at a different price.
2 DVDs and 1 CD cost £35
2 DVDs and 2 CDs cost £45
Martin has £50 Does he have enough to buy 1 DVD and 3 CDs?
Answer:
Step-by-step explanation:
Lets Price of a DVD is fixed i.e. 15
and One CD price is 5 (Not fixed)
In First situation
2 DVDs and 1 CD cost = 35 as given
2 x 15 + 5 = 35
Lets one CD price is 7.5
In Second situation
2 x 15 + 2 x 7.5 = 45
Its mean CD price may be between 5 to 7.5
In asked scenario, Martin has 50
1 DVD and 3 CDs?
1 x 15 + 3 x 7.5 = 37.5
37.5 is lesser than 50
Hence Martin has enough to buy 1 DVD and 3 CDs.
Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles? ∠W ≅ ∠C ∠W ≅ ∠D ∠W ≅ ∠A
Answer:
The Answer would be ∠W ≅ ∠C
Step-by-step explanation:
Only one that is congruent
The measure of the angle ∠TWM is congruent to the measure of the angle ∠ADC. Therefore, the correct option is B.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
A triangle is a three-sided polygon with three edges and three vertices in geometry.
Given that the triangle ∆MTW is congruent to the triangle ∆CAD.
So, we have
∠MTW ≅ ∠CAD
∠WMT ≅ ∠DCA
∠TWM ≅ ∠ADC
If two triangles are equivalent, the ratio of matching sides will stay constant.
The proportion of the point ∠TWM is harmonious with the proportion of the point ∠ADC.
Therefore, at that point, the right choice is B.
Learn more about congruent triangles here:
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Find the missing probability. P(A)=1120,P(B|A)=1320,P(A∩B)=?
Explanation:
Assuming you meant to say
P(A) = 11/20
P(B|A) = 13/20
then,
P(A∩B) = P(A)*P(B|A)
P(A∩B) = (11/20)*(13/20)
P(A∩B) = (11*13)/(20*20)
P(A∩B) = 143/400
distance between points on a coordinate plane=(y2−y1)2+(x2−x1)2−−−−−−−−−−−−−−−−−−√ Find the distance when y2=8, y1=4, x2=6, and x1=7. A. 6.95 B. 3.87 C. 4.12 D. 5.66
Answer:
C, 4.123
Step-by-step explanation:
√(17) which equals 4.12
The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange?
Answer:
It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350.
Step-by-step explanation:
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Answer:
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Step-by-step explanation:
just copy/paste
Josh biked to the park at an average speed of 14 mph. He returned home at an average speed of 10 mph. If Josh spent a total of 2 1/2 hours for the roundtrip, how many total miles did he bike?
Answer:
Let the distance from home to the park be x
Going to the park
Distance=vt
x=14t¹ ——(1)
Going back home
x=10t² ——(2)
Total time=t¹+t²
2.5=t¹+t²
Solving equ. 1 and 2 simultaneously
10x=140t¹
14x=140t²
Adding
4x=140(t¹+t²)
24x=140(2.5)
x=14.58 miles
Total distance= 2x
= 29.16miles
Step-by-step explanation:
What are the answers to the following.
Answer:
Step-by-step explanation:
[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]
[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]
please what are plane shapes
Answer:
Circle
hope this helps.
Answer:
A closed, two-dimensional or flat figure is called a plane shape.
What is the best way to display data if there is a wide range and we want to see individual data?
a.frequency table with intervals
b.stem-and-leaf plot
c.line plot
d.frequency table
Answer:
The correct option is;
b. Stem and leaf plot
Step-by-step explanation:
A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.
Answer: b. stem-and-leaf plot
Step-by-step explanation:
hope this helps
Find the value of x. A. -7 B. does not exist C. 35 D. 26
Answer:
C. 35
Step-by-step explanation:
x^2 + 12^2 = (x + 2)^2
x^2 + 144 = x^2 + 4x + 4
144 = 4x + 4
4x = 140
x = 35
Answer:
C
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem (a² + b² = c², in this case a = x, b = 12 and c = x + 2) to solve for x.
x² + 12² = (x + 2)²
x² + 144 = x² + 4x + 4
144 = 4x + 4
140 = 4x
x = 35
Where is the answer to the expression 3 − 6 located on a horizontal number line?
Answer:
6 units to the left of 3
I did the test
In circle O, AC and BD are diameters. Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x. What is mArc A B?
Answer:
120
Step-by-step explanation:
Got it right on the assigment
Answer:
c. 120
Step-by-step explanation:
For what real numbers x is x 2 − 10 x + 25 negative?
Answer:
no real numbers
Step-by-step explanation:
x^2 − 10 x + 25
Factor
What 2 numbers multiply to 25 and add to -10
-5*-5 = 25
-5+-5 = -10
( x-5) (x-5)
This touches the graph at x =5
The parabola is positive so there are no values where the graph is negative
Answer:
No real solutions
Step-by-step explanation:
Part 1: Factoring the quadratic
The equation is in quadratic form - ax² + bx + c = 0.
Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].
[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]
Part 2: Using discriminant to determine roots
Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x without altering the final value that the equation is equal to.
Why do you think that when subtracting a negative
number, in reality you are adding it? (For example: 1-
(-1) = 1+1=2)
Answer:
See explanation
Step-by-step explanation:
When we have a positive number and a negative number, let's imagine it with a number line.
<-----------0----------->
If we have the positive number 1:
<-----------0--1-------->
And we want to subtract 1 from it, the number would move to the left
1 - 1 = 0
<-----------0----------->
However, if we were to subtract a negative number, they are opposites. It can't move to the left because that's what a positive number does. The only other way to go: right.
1 + -1 = 2
<-----------0--1--2----->
Hope this helped!
Given: ABCD is a parallelogram.Prove: m∠A + m∠B + m∠C + m∠D = 360˚By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . By the definition of supplementary, m∠A + m∠D = 180. Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.1) D2) Supplementary3) BC4) Addition
Answer:- D
- Supplementary
- BC
- Addition
Step-by-step explanation:
the tripled product of 12 and a number is 102. what is the number
Answer:
Step-by-step explanation:
Let
The known number = 12
The unknown number = x
Result = 102
Product of 12 and a number= 12*x
= 12x
Tripled product of 12x= 3(12x)
=36x
36x = 102
Divide both sides by 36
x = 102/36
= 2.833
x=2.833
choose the true statement.
-2 < -3
-2 > -3
-2 = -3
Answer:
-2> -3
Step-by-step explanation:
when in the minuses, the lower the number, the bigger it really is!
Answer:
-2> -3
Step-by-step explanation:
HOPE THIS HELPS HAVE A GREAT DAY :) :} :) :}On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4). Find the distance between points P and Q Round your answer to the nearest whole number.
Answer:
9
Step-by-step explanation:
When given two points (x₁, y₁) and (x₂, y₂) on a plane, the Formula for the distance between the points is calculated as:
D= √(x₂ - x₁)² +(y₂ - y₁)²
In the question, we are given Point P is located at (2,-3), and point Q is located at (-4,4).
P(2, -3) , Q(-4, 4)
D = √(-4 - 2)² +(4 -(-3))²
D = √(-6)² + (7)²
D =√36 + 49
D = √85
D = 9.2195444573
Approximately to the nearest whole number, the distance between points P and Q is 9
If two polygons are similar, must they also be congruent?
Answer:
I think No
Explanation:
We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent.
[tex]hope \: this \: helps[/tex]No, if two polygons are similar, it does not necessarily mean that they are congruent.
We have,
Similar polygons have the same shape but can have different sizes. This means that their corresponding angles are equal, and the ratios of their corresponding side lengths are equal.
However, the lengths of the sides themselves may be different.
On the other hand, congruent polygons have both the same shape and the same size.
This means that all corresponding angles and side lengths are equal.
So, while all congruent polygons are similar, not all similar polygons are congruent.
Similar polygons can be scaled versions of each other, but they can have different sizes.
Thus,
No, if two polygons are similar, it does not necessarily mean that they are congruent.
Learn mroe about polygons here:
https://brainly.com/question/17756657
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solve for x 7(x+2) =6(x+5)
Answer:
16
Step-by-step explanation:
Distribute 7 into x and 2, which gets you 7x+14. Then distribute 6 into x and 5, which is 6x+30. 7x-6x= x, 30-14=16 so there’s your answer.
Answer:
Step-by-step explanation:
7x + 14 = 6x + 30
x + 14 = 30
x = 16
How would you write The difference of 9 and the square of a number
Answer:
9 - n^2
Step-by-step explanation:
Answer: 9-x^2
Step-by-step explanation:
no work needed
Determine if the event described is independent or dependent. Two people are standing in line at a movie theater trying to decide on which movies to see. a independent b dependent c neither d both
Answer:
c as in neither.
Step-by-step explanation:
the question does not give enough info because there are not two variables to be dependant on
Someone please help me!! Tyy
Answer:
x² = 900
Step-by-step explanation:
ΔABC is an equilateral triangle because its sides are equal lengths
this means their angles are also equal.
180 / 3 = 60
∠BCA and ∠DCA are supplementary angles - add up to 180º
if ∠BCA = 60º, then ∠DCA = 120º
ΔACD is an isosceles triangle because two sides are equal lengths. this means their angles are equal.
∠CAD ≅ ∠CDA
180 - ∠DCA = 2(∠CAD)
180 - 120 = 60
60 / 2 = 30º
x = 30º
x² = 900
-K2 – (4k - 6n) + 9n; k = - 1 and n= - 4
For k= - 1 and n= -4, -K2 - (4k - 6n) + 9n =
(Simplify your answer.)
Answer:
The simplified answer of the given equation is -57.
Step-by-step explanation:
For this problem, we are given values for our variables.
k = -1
n = -4
So, let's plug these numbers into our expression so we can easily solve it.
-(-1)² - (4(-1) - 6(-4)) + 9(-4)
Simplify your parentheses.
-(-1)² - (-4 + 24) - 36
-(-1)² - 20 - 36
Now, simplify your exponents.
-1 - 20 - 36
Combine -1 and -20.
-21 - 36
Now, subtract -21 from 36.
-57
Answer:
-18
)())()()()()()()( ;)
can u explain and answer this question for me thanks
Answer:
f(x)= x-6
g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x
g(x) × f(x)
=(x√x + 3√x) (x-6)
= x²√x -6x√x + 3x√x - 18√x
= x²√x -3x√x - 18 √x
= x^5/2 - 3x^3/2 - 18^1/2
= √x^5 - 3√x^3 - √18 (B)
Note:
√x = x^1/2
x √x = x^1 × √x= x^1+1/2= x^3/2
x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2
I hope this helps
if u have question let me know in comments ^_^
Express the following in scientific notation: 0.0000079
Answer:
7.9 * 10 ^-6
Step-by-step explanation:
Move the decimal 6 places to the left so there is one number before the decimal
0.0000079
7.9
The exponent is -6 ( negative because we moved it to the left)
7.9 * 10 ^-6
Answer:
Hey there!
7.9 × 10-6 is your answer.
Hope this helps :)
15=3y+7.y= please help me with my assignment i havelike 57 more questions to answer and 10% im trying by myself to solve the rest are kinda difficult
Answer:
8/3 or 2.67 to nearest hundredth.
Step-by-step explanation:
15 = 3y + 7
15 - 7 = 3y
3y = 8
y = 8/3
