Answer:
Area = 40 sq units
Step-by-step explanation:
Area of a triangle:
A = 1/2•b•h
= 1/2•8•10
= 40 sq units
The difference of twice a number and 2 is at most 20. Use the variable w for the unknown number.
Answer:
2w - 2 ≤ 20
Step-by-step explanation:
2w - 2 ≤ 20
Answer:
'w' are all values less than or equal to 11
Step-by-step explanation:
2w - 2 ≤ 20
2w ≤ 22
w ≤ 11
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer.
Answer:
147
Step-by-step explanation
Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change =
Find the least common denominator. Then express each fraction using the least common denominator.
5/12 and 4/18
Answer:
5/12 = 15/364/18 = 8/36Step-by-step explanation:
The least common denominator can be found as the product of the denominators, divided by their greatest common factor:
LCD = (12)(18)/6 = 36
This is 3 times 12, so
5/12 = (5/12)(3/3) = 15/36
and it is 2 times 18, so
4/18 = (4/18)(2/2) = 8/36
The two fractions are ...
5/12 = 15/364/18 = 8/36The area of an 14-cm-wide rectangle is 322 cm2. What is its length?
The length is
cm.
Answer:
The length of rectangle is 23 cm.
Step-by-step explanation:
DIAGRAM :
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Here's the required formula to find the length of rectangle :
[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]
A = Area l = length b = breadthSubstituting all the given values in the formula to find the length of rectangle :
[tex]\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}[/tex]
Hence, the length of rectangle is 23 cm.
[tex]\begin{gathered}\end{gathered}[/tex]
LEARN MORE :
[tex]\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}[/tex]
[tex]\rule{300}{2.5}[/tex]
Answer:
Area=322cm²Breadth=14cmLength=?We know that,
[tex] \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)[/tex]
[tex]\implies\displaystyle{3 {22}^{} } = l \times 14[/tex]
[tex]\implies\displaystyle{ \frac{322}{14} = l }[/tex]
[tex] \implies \displaystyle{23=l}[/tex]
Thus,the value of length=23 cm.
plot the following points on a graph sheet. Verify if they lie on a line. A (1,3), B (3,5), C (4,6), D (6,8)
Graph is attached
Hope this helps!
Help please due today.
Which expression shows the length, BC, of the base of the stand?
A. 7 over tan 55 degrees
B. 7(cos 55 degrees)
C. 7 over sin 55 degrees
D. 7(tan 55 degrees)
Answer:
A) [tex]\frac{7}{tan55^\circ}[/tex]
Step-by-step explanation:
[tex]tan\theta=\frac{opposite}{adjacent}\\ \\tan55^\circ=\frac{7}{BC}\\ \\BC*tan55^\circ=7\\\\BC=\frac{7}{tan55^\circ}[/tex]
What is the value of the expression (5)^3
Given :-
5³To Find :-
A equivalent expression .Solution :-
The given expression is ,
→ 5³ .
As we know that if there is aⁿ , where n is the power then we have to multiply the number at the base n times . Hence here ,
→ 5³ can be rewritten as
→ 5 * 5 *5
Simplify ,
→ 125
Hence the required answer is 125 .
I hope this helps.
Let us evaluate 5³
Explanation:
[tex]5³ = 5 × 5 × 5 = 125[/tex]
5³ can also be understood as 5 cubed.
Whenever a number (x) is multiplied by itself three times, then the resultant answer is known as the cube of that number.
Thus, 5 to the 3rd power is equal to 125
For a certain triangle ABC, if a line intersects AC at D, intersects AB at E, and is parallel to CB, would the proportion AE | AD = EB | DC be accurate? Explain your answer.
The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate
Understanding Basic proportionality theorem(Thale's Theorem)This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.
Thus, In ΔABC, DE || BC
By Thales theorem, we can say that;
AD/DB = AE/EC
Rearranging we can arrive at;
AE/AD = EC/DB
When we simplify further by adding 1 to both sides, we will get;
AD/AB = AE/AC
Thus, the given proportion is not accurate
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Consider the diagram below.
5.66
x
у
5.66
Z
Which of the following represent the values of x, y, and z to the nearest hundredth?
Answer:
Step-by-step explanation:
y² = 5.66 × 5.66 ⇒ y = 5.66
x = z = 5.66√2 ≈ 8.00
The values of x, y and z in the given triangle are 8, 5.66 and 8.
What are triangles?Triangles are a type of a polygon having three sides and angles.
Given is a triangle, having some unknown variables, we need to find their values,
So,
According to the figure we can say that the triangle is an isosceles triangle because the median is perpendicular to the base and dividing it into equal parts.
Therefore,
y² = 5.66 × 5.66 ⇒ y = 5.66
x = z = 5.66√2 ≈ 8.00
Hence, the values of x, y and z in the given triangle are 8, 5.66 and 8.
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PLEASE HELP WILL MARK BRAINLIEST
Step-by-step explanation:
[tex]{ \tt{9 {x}^{2} + 11x + 5}} \\ = { \tt{(18x + 11i)(18x + 11i)}}[/tex]
If f(x) = 2x − 5, then what is the value of f(4x − 1)?
Step-by-step explanation:
well, you put the input term into the place of the original variable (as with any actual constant value) :
f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7
we could call this now g(x) (= f(4x - 1)).
Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab
We have to find the sum of 3a² + 4b² , 4a² - 3b² + 2ab and - 4a² + 2b² - 6ab
Just add all these expressions and you will get your answer as ;
[tex]{:\implies \quad \sf (3a^{2}+4b^{2})+(4a^{2}-3b^{2}+2ab)+(-4a^{2}+2b^{2}-6ab)}[/tex]
[tex]{:\implies \quad \sf 3a^{2}+4b^{2}+4a^{2}-3b^{2}+2ab-4a^{2}+2b^{2}-6ab}[/tex]
Collect like terms ;
[tex]{:\implies \quad \sf (3a^{2}+4a^{2}-4a^{2})+(4b^{2}-3b^{2}+2b^{2})+(2ab-6ab)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Required\: \: Sum=3a^{2}+3b^{2}-4ab}}}[/tex]
If Rob can eat 8 munchkins in 20 minutes, how long would it take him to eat 20 munchkins.
Find the vertex and focus of the parabola x^2+14x-8y+65=0
Answer:
heres the graph i don't rly understand this all but mabe it will help
Hope This Helps!!!
What is the horizontal and vertical shift for the absolute value function below? f(x)=3|x+9|+6
Horizontal shift left 9 units and vertical shift up of 6 units
volume of a sphere when radius is 50
Answer:
Step-by-step explanation:
Givens
r = 50
Formula
V = 4/3 pi r^3
Solution
V = 4/3 * 3.14 * 50^3
V = 4.19 * 50^3
V = 4.19 * 125000
V = 523750
What is the equation of a line with a slope of -1 and a y-intercept of -5?
Answer:
equation: y = -x - 5
Step-by-step explanation:
using the formula: y = mx + b ..........where m is the slope and b is y-intercept
so the equation in slope intercept form will be: y = -1x -5
A box in a shape of a cube with an edge length of 9 inches. Find the surface area of the box
Answer:
A=486in²
Step-by-step explanation:
Hope that helps!
Will there ever be an
age, other than 14 and
7, where Pedro is twice
as old as his brother?
Explain.
Answer:
No
Step-by-step explanation:
They are 7 years apart. Therefore, the only age where Pedro will be twice as old is his brother is the age 14 because 7 is half of 14.
Hi!
Your answer is No.
This is because they are seven years apart in age. The only way for Pedro to be twice as old as his brother would be for
a + 7 = 2a
('a' is Pedro's brother's age)
Now, if we subtract a from both sides in the top equation, we get:
7 = a
There is only one solution to this equation.
Find all real zeros of the function Y = -5x-7. a. -5. C. 7 5 7 b. -5, -7 d. 5 Please select the best answer from the choices provided СА B o 0 D
The zeros of the function y = -5x - 7 is at x = -7/5
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given the equation:
y = -5x - 7
The zeros of the function is at y = 0, hence:
0 = -5x - 7
-5x = 7
Dividing through by -5 gives:
x = -7/5
The zeros of the function y = -5x - 7 is at x = -7/5
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What is the value of x?
D
(2x)
E R
(4x + 10)
V
700
Step-by-step explanation:
180° = 2x + 70 + 4x + 10
180° = 2x + 4x + 70 + 10
180° = 6x+ 80
180 - 80 = 6x
100 = 6x
6x = 100
x = 16.66
x ≈ 17°
Find the surface area
Find the volume of the irregular
figure.
1 cm
4 cm
3 cm 1 cm
9 cm
?] cm
5 cm
Answer:
23 times 3 or just 23
ox
Step-by-step explanation:
=
Given:
N = Natural number
| = Integer
Q = Rational number
Q' = Irrational number
R = Real number
The number
7/22
is in which of the sets N, I, Q, Q', R?
Answer:
Q, R
Step-by-step explanation:
All of the listed sets of numbers are Real numbers. The fraction is not an integer, so is not in sets I or N. Because it is a fraction, it is in set Q, and because R includes Q, ...
the number is in sets Q and R
Maggie has $16 to spend on lunch for the week she has already spent four dollars which inequality statement shows how much more money Maggie has left to spend for the week
Answer:
x ≤ $12
Step-by-step explanation:
Since Maggie has $16 to spend for the week, she can spend less than $16 or exactly $16. Thus, the inequality used would be ≤, which can be read as 'less than or equal to'.
Let the amount of money she has left to spend for the week be x.
Total spending for the week ≤ $16
$4 +spending for the rest of the week ≤ $16
$4 +x ≤ $16
Subtract both sides by $4:
x ≤ $16 -$4
x ≤ $12
Someone helppppp me on this math problem
Answer:
whats the problem? ill do my best to help
Step-by-step explanation:
Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.
what is the smallest possible average of five distinct positive even integers
Answer:
2+4+6+8+10/5
10 is average of this
The smallest possible average of five distinct positive even integers is 6.
To find the smallest possible average of five distinct positive even integers, to minimize the values of those integers.
The smallest distinct positive even integers start from 2, 4, 6, 8, 10, and so on.
To minimize the average, to choose the five smallest even integers. So, the five distinct positive even integers are:
2, 4, 6, 8, 10
To calculate the average, sum up these five integers and divide by 5:
Average = (2 + 4 + 6 + 8 + 10) / 5
Average = 30 / 5
Average = 6
So, the smallest possible average of five distinct positive even integers is 6.
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what is the slope?
(2, -3)
(3, 3)
Answer:
6
Step-by-step explanation:
Lia scored 120 out of 250 in her exam , and Ash scored 170 out of 350 , who scored better ?
Answer: Ash
Step-by-step explanation:
Convert both into a percentage so it is clearer
Lia- 48%
Ash- 48.57%
During a biology lab, students selected a flower to grow in a greenhouse. For the experiment, 4 students selected violets, 11
students selected lilies, and 3 students selected roses. If a single flower is picked at random, what is the probability that the
flower is a lily or a rose?
• Provide the final answer as a fraction.
Answer:
For the experiment, 4 students se students selected lies, and 3 students ... During a biology lab, students selected a flower to grow in a greenhouse.
Step-by-step explanation: