Answer:
Dimensions are 12 , 5
Step-by-step explanation:
Area of rectangular mural = length * width
length * width = 60 square feet
(x + 10)(x + 3) = 60
Use FOIL method
x*x + x*3 + 10*x + 10*3 = 60
x² + 3x + 10x + 30 = 60 {Combine like terms}
x² + 13x + 30 - 60 = 0
x² + 13x - 30 = 0
Sum = 13
Product = -30
Factors = 15 , -2 (15+ (-2) = 13 ; 15*(-2) = -30)
x² + 15x - 2x - 30 =0 {Rewrite middle terms}
x(x + 15) - 2(x + 15) = 0
(x + 15)(x - 2) =0
x - 2 = 0 {Ignore (x +15) as dimensions wont have a negative value}
x = 2
x + 10 = 2 + 10 = 12
x + 3 = 2 + 3 = 5
Dimensions are 12 , 5
Heyyy could someone please help me out?? Would appreciate it. Thanks in advance!!^^
Answer:
Below,...
Step-by-step explanation:
They are saying that if you add a odd number + a odd number than you'd get a even number,... odd + even = odd,... odd x even = even,... and so on,...
Hope it helps,... Chow!
please please help! I'm just bad at trig..
don't bother to scam, because you won't earn points anyway. You'll be rewarded if you help!
Answer:
P=61°
Step-by-step explanation:
P²=C²+ U²–2 C U cos P
189²= 215²+123²– 2×215×123×cos p
P= 61°
I hope I helped you^_^
“The probability that you are given a car for your birthday.”
is that a conditional probability?
Answer:
No
Step-by-step explanation:
Conditional probability is an event repeating itself.
ex.) you have 3 red marbles and 4 blue ones in a hat, since you already drew a red one, there is conditional probability you will draw red again. So unless you have already gotten a car for your birthday previously, you cannot classify your question as conditional probability.
oints out of
.00
Flag
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave
your answers as radicals in simplest form.
question
60°
х
y
93
BULLY
Answer:
x = 18
y = 9
y = 9√3/√3 = 9
x = 9×2 = 18
Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com
Answer:
x=0 x=8 x = -1/10
Step-by-step explanation:
- 2x(x − 8)(10x + 1) = 0
Using the zero product property
-2x =0 x-8 = 0 10x+1= 0
x= 0 x= 8 10x = -1
x=0 x=8 x = -1/10
5. If A, B and C are any three points on a line and B lies between A and C, then prove that AB + BC = AC.
Answer:
B IS THE MID POINT
Step-by-step explanation:
If b lies between AC iy means b is de half
therefore a+b+c=ABC which is the straight line
Can how to solve this area of Trapezium ?
And working out
Answer:
26 cm
Step-by-step explanation:
The area of a trapezium is
A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases
910 = 1/2 ( 21+49) h
910 = 1/2 (70)h
910 = 35h
Divide by 35
910/35 = 35h/35
26 = h
Round 2.12747677748 to the nearest ten-thousandth.
Answer:
2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.
Step-by-step explanation:
Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.
A) Write a number to represent 57 feet below sea
level.
Answer:
-57
Step-by-step explanation:
the answer is -57 because if it is below sea level it is a negative but if it is above sea level it will be a positive
Which expression is equal to "13 more than the quotient of n and 8"? *
A) 13n + 8
B) n - 8 + 13
C) n * 8 + 13
D) (n / 8) + 13
Answer:
D
Step-by-step explanation:
The quotient of n and 8 is [tex]\frac{n}{8}[/tex] and 13 more than this is
[tex]\frac{n}{8}[/tex] + 13 → D
Arrange in descending order 14/13,25/26,8/3
Arrange in ascending order: 12.4654, 784.7068, 295.6097, 267.0918, 156.6100
Step-by-step explanation:
arranging in ascending order is simply arranging from the smallest to the largest.
12.4654,156.6100,267.0918,295.6097,784.7068
I hope this helps
Which graph has a correlation coefficient, r, closest to 0.95
Answer:
A correlation coeff close to +1 would have a positive slope, and all dots representing the data set would be quite close to the regression line.
Correlation is a measure of association between two variables. IF there is a perfect linear association then correlation would be nearer to 1.
Correlation always lies between -1 and +1.
If between-1 and 0 we say there is a negative correlation.
If nearer to 1 than to 0 then we say strong correlation
Here given correlation is 0.95 i.e. positive and have almost perfect linear relation.
Hence we see that Graph C shows almost linear relationship with slope positive
So option C is answer
Factorise each expression 8 - 2v²
Answer:
hello thereee
8 - 2v^2 we are suppose to facotrize...
2 ( 4 - v^2 )
2 ( 2^2 - v^2 )
apply identity a^2 - b^2
2 ( 2 + v ) ( 2- v )
done dana done.....
if sinθ/secθ =1/2, find sinθ+secθ/sinθ-secθ
Answer:
[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta} = -3[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \frac{\sin \theta}{\sec \theta} = \frac{1}{2}[/tex]
And we want to find the value of:
[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta}[/tex]
From the second expression, we can divide both the numerator and denominator by sec(θ). Thus:
[tex]\displaystyle = \frac{ \dfrac{\sin \theta + \sec \theta}{\sec \theta} }{ \dfrac{\sin \theta - \sec\theta}{\sec \theta} }[/tex]
Simplify:
[tex]\displaystyle = \frac{\dfrac{\sin \theta}{\sec \theta} + 1}{\dfrac{\sin\theta}{\sec\theta} - 1}[/tex]
Since we know that sin(θ) / sec(θ) = 1 / 2:
[tex]\displaystyle = \frac{\left(\dfrac{1}{2}\right)+1}{\left(\dfrac{1}{2}\right)-1}[/tex]
Evaluate:
[tex]\displaystyle = \frac{\dfrac{3}{2}}{-\dfrac{1}{2}} = -3[/tex]
Therefore:
[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta} = -3[/tex]
Anyone here who can help me with this?
Answer:
D. 16 years old
Step-by-step explanation:
Step 1: Let T be Tien's age and J as Jordan's age (today),
[tex]T=\frac{1}{4}J[/tex]
Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),
[tex]T+2=\frac{1}{3} (J+2)[/tex]
[tex]T=\frac{1}{3}(J+2)-2[/tex]
Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,
[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]
Geometry, please answer question ASAP
How do we derive the sum rule in differentiation? (ie. (u+v)' = u' + v')
It follows from the definition of the derivative and basic properties of arithmetic. Let f(x) and g(x) be functions. Their derivatives, if the following limits exist, are
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h\text{ and }g'(x)\lim_{h\to0}\frac{g(x+h)-g(x)}h[/tex]
The derivative of f(x) + g(x) is then
[tex]\displaystyle \big(f(x)+g(x)\big)' = \lim_{h\to0}\big(f(x)+g(x)\big) \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{\big(f(x+h)+g(x+h)\big)-\big(f(x)+g(x)\big)}h \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{\big(f(x+h)-f(x)\big)+\big(g(x+h)-g(x)\big)}h \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{f(x+h)-f(x)}h+\lim_{h\to0}\frac{g(x+h)-g(x)}h \\\\ \big(f(x)+g(x)\big)' = f'(x) + g'(x)[/tex]
A and B are squares. The length of one side of square A is 4. The length of one side of square B is twice the length of a side of square A. What is the average (mean) area of the 2 squares?
Answer:
40
Step-by-step explanation:
So square A has a side of 4, therefore its area is 16 because you square the side length.
Square B has a side of 2 times Square A's side. So Square B has sidelength 8 as 4*2 = 8.
If Square B has side length 8, it has an area of 64.
The average is found by adding the two area and then dividing by 2. So,
64 + 16 = 80
80/2 = 40
Factor the expression completely.
-20% -40
A. -20(x-2)
B. -10(2x - 10)
C.-20(x + 2)
D. -10(2x + 10)
Answer:
C.-20(X+2)
Step-by-step explanation:
I think you wrote -20% by mistake instead of -20x
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
y = -2x + 5
[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2
Step-by-step explanation:
if A=(p,q,r) write all possiblesubsets of A
Answer:
Given, A={p,q,r}.
Now, possible subsets of A are ,{p},{q},(r) {p,q}.
(q,r) (p,r) (p,q,r)
The lengths of the triangle's sides are 5, 12 , 13. What is the measure of the angle opposite to side 13?
Answer:
90°
Step-by-step explanation:
i can help you in any time
Multiply. Write your answer in scientific notation
Answer:
3×3×10^5×10^2
9×10^5-2
9×10³
ESSENTIAL QUESTION How do graphs
and equations reveal information about a
relationship between two quantities?
Answer:
When you plot the graph, you may see a line or a curve. This presents the trend of the relationship of the two quantities when the independent variable changes.
Graphs visually depict patterns and trends, while equations provide precise mathematical descriptions, both revealing valuable information about the relationship between two quantities.
Graphs visually represent data and patterns, allowing us to identify the nature of the relationship between two quantities. The slope and intercepts of a graph provide information about the rate of change and the values when one quantity is zero.
Equations, on the other hand, offer precise mathematical descriptions of the relationship. The form of the equation reveals the nature of the relationship, while coefficients and constants provide specific information. Solving equations yields solutions that satisfy the relationship.
Both graphs and equations work together to provide a comprehensive understanding of the relationship between two quantities, with graphs offering visual insights and equations providing precise mathematical information.
Learn more about equations here;
https://brainly.com/question/4803354
#SPJ6
The measures of two sides of a triangle are 11 and 20. Between what two numbers must be the third side fall?
Answer:
Step-by-step explanation:
The largest number must be less than 31.
The smallest number must be greater than 9.
Find the value of this expression if x = 9.
x2 + 9
x+1
Enter the correct answer.
Step-by-step explanation:
x= 9
[tex] {x}^{2} + 9 \div x + 1[/tex]
[tex] {9 }^{2} + 9 \div 9 + 1[/tex]
[tex]81 + 9 \div 10[/tex]
[tex]90 \div 10[/tex]
[tex]9[/tex]
can some one help me on this one its confusing ill give brainly when right!!!
any 5
algebraic formulas
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b2
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
a4 – b4 = (a – b)(a + b)(a2 + b2)
a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b2
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
a4 – b4 = (a – b)(a + b)(a2 + b2)
a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
X/4- 2 =x/8+4
What value of x makes the equation in the reference image true ?
Answer:
The answer to your question is x=48
Step-by-step explanation: If you have any questions regarding my answer, tell me in the comments and I will answer them. Have a good day.
x/4−2=x/8+4
1/4x+−2=1/8x+4
1/4x−2=1/8x+4
1/4x−2−1/8x=1/8x+4−1/8x
1/8x−2=4
1/8x−2+2=4+2
1/8x=6
8*(1/8x)=(8)*(6)
x=48
