Answers
Step-by-step explanation:
the area of a rectangle is
length × width.
our job here is to find all integer values for length and width, so that their product is 90.
that means that length and width are both factors of 90.
the factors of 90 are
1 × 90
2 × 45
3 × 30
5 × 18
6 × 15
9 × 10
10 × 9
15 × 6
18 × 5
30 × 3
45 × 2
90 × 1
the prime number grouping
is
2 45 (can't be divided by 2 anymore, so,
next prime factor)
3 15
3 5 (can't be divided by 3 anymore, so
next prime factor)
5 1 (the end)
so, besides 1 and these prime factors, the only other factors are combinations of these prime factors :
2×3 = 6
2×5 = 10
3×3 = 9
3×5 = 15
2×3×3 = 18
2×5×3 = 30
3×5×3 = 45
Related Questions
Which type of local wind is shown below and what causes this type of wind?
Question 23 options:
At night, cooler air over land replaces rising warmer air over water causing a land breeze.
At night cooler air over water replaces rising warmer air over land causing a land breeze.
During the day, cooler air over land forces warmer air over water to rise causing a sea breeze.
Answers
Answer:
A
Step-by-step explanation:
because me smart
Analyze: What is the the number of periods of the following atoms
Answers
Answer:
2; 3; 4.
Step-by-step explanation:
Li - 2 (two circles); Na - 3 (three circles); K - 4 (four circles).
An angle measures 64° less than the measure of its supplementary angle what is the measure of each angle
Answers
Given :
An angle which measures less 64° the measure of its supplementary angle.⠀
To Find :
The measure of its supplementary angle.⠀
Solution :
Let's assume the one of the supplementary angle as x and the other angle as (x - 64)° .Now,
⠀
According to the Question :
[tex]\longrightarrow\qquad \sf{{x
+ (x - 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{x + x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{2x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} + 64 {}^{ \circ}}}[/tex]
[tex]\longrightarrow\qquad \sf{{2x = {244}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{x = \dfrac{{244}^{ \circ}}{2} }}[/tex]
[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {122}^{ \circ} }}}[/tex]
⠀
Therefore,
One angle = 122°Other angle = 122° – 64° = 58°⠀
⠀
Henceforth ,
The measure of the two angles are 122° and 58° .SOMEONE PLSS HELP WITH MY ZEARN ITS 5TH GRADE MATH BTW! can be decimal or mixed number!!
Answers
Answer:
[tex]64 \frac{1 3}{21} ft {}^{2} [/tex]
Step-by-step explanation:
Area of the garden:
[tex](8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)[/tex]
to find the area you multiply the length by the width.
so 8 3/7 * 7 2/3
you just multiply both. so you get 64 13/21 or 64.619
A cube has an edge length of 3 inches.
a) Find the surface area and volume of the cube.
b) The cube is dilated by a scale factor of 0.5.
Find the surface area and volume of the image.
PLEASE HELP THIS IS DUE TOMORROW!!!
Answers
Answer:
Question (a)
Surface area of a cube = [tex]6x^2[/tex] (where [tex]x[/tex] is an edge length)
⇒ surface area = 6 × 3²
= 6 × 3 × 3
= 6 × 9
= 54 in²
Volume of a cube = [tex]x^3[/tex] (where [tex]x[/tex] is an edge length)
⇒ volume = 3³
= 3 × 3 × 3
= 27 in³
Question (b)
To find the area of a dilated figure, simply multiply the original area by the scale factor squared:
Surface area = [tex]6x^2[/tex] × sf²
= 54 × 0.5²
= 13.5 in²
To find the volume of a dilated figure, simply multiply the original volume by the scale factor cubed:
Surface area = [tex]x^3[/tex] × sf³
= 27 × 0.5³
= 3.375 in³
HELPPPPP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER (see attachment)
Answers
Step-by-step explanation:
(b) since a negative number added to a positive one it will be positive
Answer:
2x² + 5x - 12
steps:
→ (x+4)(2x-3)
By distributive method:
→ (x)(2x) +4(2x) +x(-3) +4(-3)
simplifying:
→ 2x² + 8x - 3x - 12
final answer:
→ 2x² + 5x - 12
help me please! i need to turn in this assignment
Answers
Answer:
90
40
45%
Step-by-step explanation:
the way I go 40 was by looking around the blank space, and i see that the 2 totals are 110 and 88. 110-70=40 and 88-48=40 so that is the answer for that one
and for the frequency i took 90 and divided it by 200 gettin 0.45 and then i moved the decimal 2 places to the right giving me my percentage
5y(4-2y+y)-4y
Need help ASAP
Answers
Answer:
The answer above is correct, I got it wrong originally! Sorry for wasting this spot! ^w^
Step-by-step explanation:
HELPPPPPOOOPP PLEASEEE
Answers
Answer:
122
Step-by-step explanation:
Rectangle: 6*15=90
Inner Trapezoid: 6*4=24
Triangles: 4*2=8/2=4*2=8
What is the hydronium ion concentration in a solution of hcl that has a ph of 4.65? round to the nearest hundredth. × 10n m n = what is the hydroxide ion concentration in a solution of nh3 with a poh of 4.65? round to the nearest hundredth. × 10n m n =
Answers
The hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
What is pH value?The pH scale, which originally stood for "potential of hydrogen," is used to describe the acidity or basicity of aqueous solutions. The pH of acidic solutions is lower than that of basic or alkaline solutions.
Hydronium ions concentration of the solution with a pH value of 4.65.
[tex]pH = -\rm log[H_3O^+]\\\\4.65 = -log[H_3O^+]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[H_3O^+]\\[/tex]
[tex][H_3O^+] = 2.2387 \times 10^{-5} M[/tex]
Now, we know that the Hydroxide ions concentration of the solution with pOH value of 4.65. Therefore,
[tex]pOH = -\rm log[OH^-]\\\\4.65 = -log[OH^-]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[OH^-][/tex]
[tex][OH^-]=2.2387 \times 10^{-5}\ M[/tex]
Hence, the hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
Learn more about pH value:
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Answer:
first one is 2.24 then -5
2nd one is 2.24 then -5
i just did it
eric sells donuts for $7 per dozen. which equation can be used to determine the total cost, t, for x dozen of donuts?
Answers
Answer:
7 times x = t
Step-by-step explanation:
if your buying 3 dozen of donuts, the total cost would be by doing 7x3
Solution:
It should be noted:
Given sentence: Eric sells donuts for $7 per dozen.Let's reread the sentence carefully.
Eric sells donuts for $7 per dozen.
↥ ↥
$7 1 dozen
The equation created: $7 = 1 dozen
If x dozen doughnuts were sold, equation: $7x = t = x dozen
Thus, the equation that can determine the total cost, t, for x dozen of donuts is $7x = t.
What would be the answer to this question
Answers
Step-by-step explanation:
[tex] \sqrt{28 - 6x} = x - 6 \\ ({ \sqrt{28 - 6x}) }^{2} = {(x - 6)}^{2} \\ + - (28 - 6x) = {x}^{2} - 12x + 36 \\ 0 = {x}^{2} - 6x + 8 \\ 0 = (x - 2)(x - 4) \\ x - 2 = 0 \\ x - 4 = 0 \\ x = 2 \\ x = 4 \\ we \: must \: check \: the \: answer \: \\ \sqrt{28 - 6(2)} = 2 - 6 \\ \sqrt{16} = - 4 \\ 4 = - 4 \\ it \: is \: wrong. \: \\ \sqrt{28 - 6(4)} = 4 - 6 \\ \sqrt{4} = - 2 \\ 2 = - 2 \\ it \: is \: wrong \: too.[/tex]
-( 28 - 6x ) = x² - 12x + 36
x² - 18x + 64 = 0
√∆ = √( 324 -256)= √68 = 2√17
x = (18 ± 2√17)/2 = 9 ± √17 → 9+√17 ✓
9-√17 is not acceptable because the radical answer can not be negative.
pls help fast. i need it fast. pls
Answers
Answer: Part A C x G = X
Part B it represents the cost
Step-by-step explanation:
The height of a rocket t seconds after launch is modeled by the function: f(t)=-16t^2+72t.
What is the maximum height of the rocket in feet?
Answers
Step-by-step explanation:
the extreme values of a function happen at the zeros of the first derivation of that function.
f(t) = -16t² + 72t
f'(t) = -2×16t + 72 = -32t + 72
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
f(2.25) = -16(2.25)² + 72×2.25 = -16×5.0625 + 72×2.25 =
= -81 + 162 = 81 ft
so, the rocket reaches its maximum height of 81 ft after 2.25 seconds of flight.
The quadratic parent function f was transformed to create g(x)=4f(x)which description best represents g?
Answers
Answer: the second one because its a virdacal reflection
Step-by-step explanation: it’s sideways all you have to do is find the equation
What is the circumference of 7 in?
Answers
Answer:
If Its 7 in diameter than the answer is 21.98 if it is radius than it is 153.86
Step-by-step explanation:
Answer:
Solution:
Radius of a circle = 7 in
We know that
Circumference of a circle = 2πrSubstituting the values
= 2 × π × 7
= 14π
= 43.9823 ≈ 43.98 in
Therefore, the circumference of a circle is 43.98 in.
please help with this question find the outlier!!
Answers
Answer:
the outlier would be 36 oz
Step-by-step explanation:
the rest of the points on the box plot are clustered together while 36 is far away from the nearest point (39)
hope this helps :)
expand and simplify x(x-4)(x-1)
Answers
Answer:
Step-by-step explanation:
x(x-4)= x^2-4x
x^2-4x(x-1)
x^3-5x^2+4x
Determine the value of x that makes each equation true.
Equation
Value
- 3x = 6.3
1/8 = -12
-1.2x = -30
12
= -0.3
Answers
Answer:
1. -2/1
2. -1.5
3. 25
4. -0.025
Step-by-step explanation:
divide by the coefficient on both sides of then equation.
A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of $12.00. alyssa thinks that her school is more fashion conscious and spent more than $195.00. she collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. which of the following is the correct z-statistic for this situation? 0.24 4.84 7.51 96.90
Answers
Z-score of given data comes to be 4.84.
It is given that:
Mean price of a prom dress μ= $195
Standard deviation σ= 12
Mean of price spent on prom dress out of 20 people X= $208
Sample size n= 20
What is a z-score?A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
Z-score = (X-μ)/(σ/√n)
Where, X = observed value
μ= mean
σ = standard deviation
n =sample size
Z-score of above data = (208-195)/(12/√20)
Z-score = 4.84
Therefore, the Z-score of the given data comes to be 4.84.
To get more about Z-score visit:
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Answer:
B
Step-by-step explanation:
on edge
Find the nth term of the sequence
below:
2,6,10,...
What is the 10th term in the
sequence? If 89 in the sequence?
Answers
In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game.
How many blue cards are in the game?
Answers
Answer:
63 yellow cards
Step-by-step explanation:
84 divided by 4 is 21, and 21 times 3 is 63.
What is the area of this composite figure?
Answers
Answer: B: 7.14 in²
Step-by-step explanation:
Area of the square: 2x2 = 4in²
Area of the circle: πr² = 3.14 x 1² = 3.14
add them both to get the composite area:
4 + 3.14 = 7.14 in²
Determine the first expression to evaluate 8+7-9+42÷6 ?
Answers
Answer:
The answer is 13!
Step-by-step explanation:
Have a great day!
How many more unit tiles need to be added to the expression x2 4x 3 in order to form a perfect square trinomial? 1 2 3 4.
Answers
The number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1
What number of tiles is needed to make the equation perfect square?Given equation is [tex]x^{2} +4x+3[/tex]
Now by adding 1 to the equation [tex]x^{2} +4x+3[/tex] we get
[tex]x^{2} +4x+3+1=x^{2} +4x+4[/tex]
[tex]x^{2} +2x+2x+4[/tex]
Now by splitting the equation
[tex]x(x+2)+2(x+2)[/tex]
[tex](x+2)(x+2)[/tex]
[tex](x+2)^{2}[/tex]
Thus the number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1
To know more about Trinomial follow
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A - 1
Correct answer. Since, well you just need one more tile to add, especially noticeable in the picture shown! Enjoy folks
A class of 24 students visited a science museum. Each student paid the
museum’s admission fee and $6 for lunch at the museum. The class spent
a total of $336. What was the admission fee that each student paid?
Answers
Answer:$14
$336/24
$14
Step-by-step explanation:
I need to do this it due tommorow
Answers
Answer:
14
Step-by-step explanation:
when you add all the numbers together you get 14, also where you put the line you can see that the line is a 3 and 5 minus 2 is 3. The next corner next to the 3 is 1 cm because if you look at the horizontal 2 it matches up with the horizontal 1 and 2 minus 1 is 1.
Select the correct solutions for the system of equations:
10x + y = -20
y = 2x^2 - 4x - 1
[] (-2, 0)
[] (-1, 0)
[] (0, -2)
[] (0, -1)
[] (-2, 10)
[] (-1, -10)
[] (10, -1)
[] (10, -2)
Answers
Answer:
The answer are
(-2,0)
(-1,-10)
(0,-1)
Step-by-step explanation:
I believe these are all the right answers
Hope this helps and mark brainliest please :)
Daina gives 2/3 of his money to Carol. Carol gives 6/7 of this money to Zak.
What fraction of Daina's money does Zak get?
Answers
Answer: I think he gets 1/2 of something
Step-by-step explanation:
Which of the following are among the basic postulates of Euclidean Geometry?
A) Any straight line segment can be extended indefinitely.
B) All right triangles are equal.
C) A straight line segment can be drawn between any two points.
D) All right angles are equal.
Answers
Any straight line segment can be extended indefinitely and straight line segment can be drawn between any two points can apply. Therefore, options A and D are the correct answers.
What is Euclidean geometry?"Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid"
As per the five basic postulates of Euclidean geometry
A straight line can be drawn from any point to another point.
A terminated line can be further produced indefinitely.
A circle can be drawn with any Centre and any radius.
All right angles are equal to one another.
If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles , then the two lines inevitably must intersect each other on that side if extended far enough.
Therefore, options A and D are the correct answers.
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