Here, we are to find the length and the , breadth of the rectangle
The length of the rectangle = 7 units and Breadth of the rectangle = 3 units
Let
length = l units
Breadth = b units
Perimeter of the rectangle = 20 units
length is the distance measured along the longest dimension of an object
width is the wideness of an object
perimeter refers to the total measurements of an objects
The breadth of a rectangle is 4 units less than its length
If,
Length = l
Then,
b = l - 4
Perimeter of a rectangle = 2(length + breadth)
20 = 2{l + (l - 4)
20 = 2(l + l - 4)
20 = 2(2l - 4)
20 = 4l - 8
20 + 8 = 4l
28 = 4l
l = 28/4
l = 7
b = l - 4
b = 7 - 4
b = 3 units
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mzCTS= 105°, mZUTC = 2x + 24, and m/ UTS = x + 129. Find m/ UTS.
Answer:
< UTS = 129
Step-by-step explanation:
< UTS= <CTS+ < UTC
x + 129 = 105+ 2x + 24
Combine like terms
x+129=2x+129
Subtract x from each side
129 +x-x = 2x-x+129
129 = x+129
Subtract 129 from each side
129-129 = x+129-129
0 =x
< UTS = x + 129 = 0+129 =129
if X=2
y=-1
z=3
Find the value of
a. 2y3(cube) z2(square)
Step-by-step explanation:
2y³z²
2(-1)³(3)²
=2(-1)(9)
=-18
can a kind soul pleaseee help me???!!!!!!!!!!!!!!!
Consider the line y = 4x + 9. If a *second* line is perpendicular to this one, what is its slope?
please show how you got it so I can see if the answer makes sense!!!!
Answer:
m=-1/4
Step-by-step explanation:
a perpendicular slope such that the original is m is -1/m, the negative reciprocal
50. The probability of passing an examination is 0.77. What is the probability of failing the examination? A. 0.33 0.77 B. 0.23 D. 0.72
Answer:
0.23
Step-by-step explanation:
If the probability of passing the examination is 0.77
Then the probability of failing the examination is 1 - 0.77 = 0.23
(b) A shopkeeper gives 20% discount on the marked price of a television set. The VAT amount at the rate of 13% is Rs. 2,600. Find the marked price and the amount of discount.
Answer:
6.3
Step-by-step explanation:
i had the same question for school
Write in point-siope form, siope-intercept form, and standard form an equation that passes
through( - 1, 2) with slope 4.
Answer:
The forms are:
y - y1 = m(x - x1)y = mx + bax + by = cGiven:
m = 4Point (-1, 2)Use point slope form:
y - 2 = 4(x - (-1))y - 2 = 4(x + 1)Convert it to slope-intercept form:
y = 4x + 4 + 2y = 4x + 6Convert it to standard form:
4x - y = - 6HELP ME PLEASE ASAP!!!
Find the length of the arc.
A.125pi/6mi
B.5400pimi
C.15pi
D.135pi
Answer:
[tex]15\pi[/tex]
Step-by-step explanation:
[tex] \frac{ \theta}{360} \times 2\pi \: r \\ \frac{150}{360} \times 2 \times \pi \times 18 \\ \frac{5400\pi}{360} \\ = 15\pi[/tex]
For what values of the variable does the following expression make sense:
(squareroot) 1+3a/25
Answer:
a ≥ -1/3
Step-by-step explanation:
The square root must be greater than or equal to zero
sqrt(1+3a /25) ≥ 0
Square each side
(1+3a)/25≥ 0
Multiply each side by 25
1+3a≥0
Subtract 1
3a ≥ -1
Divide by 3
a ≥ -1/3
ABCD is a quadrilateral, P Q R and S divide AB, CB, CD and AD in ratio 1:3 respectively. Prove that a//m. (Please hurry up, I will mark you as Brainliest)
Two lines are parallel if they are equidistant from one another. The following proves [tex]a || m[/tex]
[tex]Ratio = 1:3[/tex] means that:
[tex]BP=3PA[/tex]
[tex]BQ=3QC[/tex]
To prove that [tex]a || m[/tex] is to prove that side length SR and side length PQ are parallel because:
[tex]SR = a\\ PQ = m[/tex] --------- See attachment for quadrilateral
Considering [tex]\triangle ABC[/tex], we have: [tex]BP=3PA[/tex]
Divide both sides by PA
[tex]\frac{BP}{PA} = \frac{3PA}{PA}[/tex]
[tex]\frac{BP}{PA} = 3[/tex]
Similarly: [tex]BQ=3QC[/tex]
Divide both sides by QC
[tex]\frac{BQ}{QC} = \frac{3BQ}{QC}[/tex]
[tex]\frac{BQ}{QC} = 3[/tex]
So, we have:
[tex]\frac{BP}{PA} = \frac{BQ}{QC} = 3[/tex]
Express as ratios
[tex]BP:PA = BQ:QC = 3[/tex]
[tex]BP:PA \to[/tex] means point P divided side length BA into 3:1
[tex]BQ:QC \to[/tex] means point Q divided side length BC into 3:1
Thales Theorem states that: A line that divides any two sides of a triangle in the same ratio is parallel to the third side.
The third side of [tex]\triangle ABC[/tex] is [tex]AC[/tex].
This means that: [tex]PQ[/tex] is parallel to [tex]AC[/tex]
Since [tex]AC[/tex] is parallel to [tex]SR[/tex], then [tex]PQ[/tex] is parallel to [tex]SR[/tex]
i.e. [tex]SR || PQ[/tex]
Recall that:
[tex]SR = a\\ PQ = m[/tex]
Hence:
[tex]a || m[/tex] has been proved.
Read more about proof of parallel sides at:
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{3x - 2y = 10
{2x + 3y = 11
Hi there!
»»————- ★ ————-««
I believe your answer is:
(4, 1)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
~Solve by Graphing~
I graphed the given equations in a program.The point of intersection, if the lines pass, would be the solution.The point of intersection in the given system of equations is (4,1). This means that (4,1) is the solution.See the graph attached.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The answer is {x,y} = {-52/5,-53/5}
1. Solve the equation: - 2x + 8 = 3x + 14
-2x + 8 = 3x + 14
-2x - 3x = 14 - 8
-5x = 6 / : (-5)
x = -1,2
Answer: x = -6/5
Step-by-step explanation:
Given equation
-2x + 8 = 3x + 14
Subtract 3x on both sides
-2x + 8 - 3x = 3x + 14 - 3x
-5x + 8 = 14
Subtract 8 on both sides
-5x + 8 - 8 = 14 - 8
-5x = 6
Divide -5 on both sides
-5x / -5 = 6 / -5
[tex]\boxed{x = -\frac{6}{5} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
6 = 2(1+2) =
Somebody help me answer this please
Answer:
Step-by-step explanation:
6 = 2(1+2)
Use distributive property (Multiply 2 and 1. Then multiply 2 and 2)
6 = 2+4
Now add
6=6
This means the statement is true
Answer:
6 = 6 This statement is true.
Step-by-step explanation:
First you want to distribute the 2 into the 1 and 2.
6 = 2 + 4
Add.
6 = 6
This is true.
A family drives an average speed of 60 miles per hour on a trip from Pensacola to Orlando.
Part A
Write an inequality to show how many hours, h, the family must drive to travel the 438 miles to Orlando.
Part B
For how many hours must the family drive to travel the 438 miles?
What is 7 1 in expanded form
Step-by-step explanation:
70+1
Steps:
write tens and then ones
Identify a transformation of the function f(x) = x by observing the equation of
the function g(x) = VX+3.
Answer:
1st option
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Here g(x) = [tex]\sqrt{x+3}[/tex]
The base graph f(x) has been shifted left 3 units
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
An alphabetical list is generated of each member of the student body at a local middle school. The first name on the list is in the sample, along with every 5th name on the list after that. This is an example of a __________________.
A. systematic sample
B. stratified random sample
C. convenience sample
D. random sample
Answer:
Option A, systematic sample
х
у
1
-4 -7
7
13
- 10
19
-13
3
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
Yes and the equation is 2y=-x-7
Step-by-step explanation:
Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7
I have gymnastics practice very 3 days and tennis practice every 8 days. How many days will it take for me to have BOTH gymnastics and tennis practice on the same day?
Answer:
24 days
Step-by-step explanation:
Find LCM, or least common multiple
List out all the multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...
Now 8:
8, 16, 24, 32, 40, 48, 56, 63, 72, 80, 88...
LCM is 24, because they both hit 24 first.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Explanation:
This is because 24 is the LCM (lowest common multiple) of 8 and 3.
We multiply the given values to get 8*3 = 24. This trick only works if the original two numbers have no common factors other than 1.
We can verify that 24 is indeed the LCM by listing out the multiples
multiples of 8 are: 8, 16, 24, 32, 40, ...multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...We see that 24 is found in both lists and it's the smallest such item. The next common item would be 48, which is a multiple of 24. In other words, every 24 days, your two practices will line up on the same day.
write two properties of right angled triangle
Answer:
The properties of right angle triangle are as follows
the hypotenuse is the longest sideone angle is 90 degree then other angle will be also 90 degree.Which expression is equivalent to the expression 10.5 - 7.5 + 12?
�� 10.5 + 7.5 + 12
�� 7.5 - 10.5 + 12
�� 10.5 + (-7.5) + 12
�� 10.5 + (-12) + 7.5
Answer:
The 3rd one, 10.5+(-7.5)+12
Step-by-step explanation:
If something is +(-), the answer is minus.
So therefore 10.5-7.5+12 would be our answer
Which is equivalent to the original expression
Hope this helps!
(t + 1)(t2 + 2t + 4)
find the product.
Answer:
5+5t
Step-by-step explanation:
The answer you are looking for is t^3+3t^2+6t+4.
Solution:
(t+1)(t^2+2t+4)
t^3+2t^2+4t+t^2+2t+4
t^3+3t^2+6t+4
If a graph is a line, it will always have a domain of all real numbers.
True or False
Answer:
i think its true.
Step-by-step explanation:
Hope it helps!
The population of a large U.S. city is 2,707,210. Which of the following best expresses this population?
A 2.7 × 106 C 2.707 × 106
B 2.7 × 107 D 27.07 × 106
Answer:
2.707 * 10^6
i think it is the best expression
Marquice and Tim was selling tickets for the upcoming basketball game Marquice sol 25% more than 10 if they sold 45 tickets total how many tickets did each of them sell
Answer:
Marquice sold 20 tickets and Tim sold 25 tickets
Step-by-step explanation:
Let us assume that Tim sold x number of tickets, Marquice sold 25% more x or 1.25x. ATQ, x+1.25x=45. x=20. So Marquice sold 20 tickets and Tim sold 25 tickets
Cassie has 28 days to complete a packet. The packet has 150 questions in it.
How many questions a day would she need to answer to get it completed in the time frame?
Answer:
6 questions
Step-by-step explanation:
Take the total number of questions and divide by the number of days
150/28
5.357142858
You would need to round up to make sure that the packet is completed in time
6 questions
The figure below shows two parallel lines intersected by a third line. What is the value of x?
Answer:
X=13
Step-by-step explanation:
1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters
Answer:
All registered voters in Cleveland and the maximum percentage increase in taxes
Please help. I don't understand anything.
Answer:
A
Step-by-step explanation:
The area of figure=Area of rectangle+Area of triangle
Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)
Area of figure=x^2-x-6+0.5*x^2+x
Area of figure=(3/2)x^2-6
Answer:
A, M(x)=3/2 (x^2-6)
Step-by-step explanation:
Let's calculate the area of the figure 1st,
Area of figure=Area of triangle+Area of rectangle
=1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)
=(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2
=3x^2-12/2=3/2(x^2-6)
In the options,
M(x)=3/2 (x^2-6) is given, so it best represents the area.
If the functions f(x) and g(x) are
increasing on an interval, is the
interval? how about f(x) – g(x)?
Answer:
The difference will be increasing too
Step-by-step explanation:
If f(x) and g(x) is increasing in nature then
f(b) < f(a) and g(b) < g(a) for any a and b in the interval.
Subtracting these 2 equations, we get
f(b) - g(b) < f(a) - g(a) for any a and b in the interval.
Which means f-g is increasing in the interval (a, b) but as a and b were random real numbers we took, f(x) - g(x) will be increasing for an interval
Which expression is equivalent to 18 – 20?
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{18 - 20}}\\\huge\boxed{=\mathsf{18 + (-20)}}\\\huge\boxed{\mathsf{= -2}}\\\huge\boxed{\textsf{Answer: 18 + (-20)}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
