[tex]\huge\bold{Given :}[/tex]
Length of the rectangular plot = 100 m
Width of the rectangular plot = 70 m
[tex]\huge\bold{To\:find :}[/tex]
✿ Perimeter of the rectangular plot.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:perimeter \:of\:the\:rectangular \:plot \:is\:340\:m .}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
❥ We know that,
[tex]Perimeter \: of \: a \: rectangular \: plot \: = 2 \: ( \: length + breadth \: ) \\ = 2 \: ( \: 100 \: m \: + 70\: m \: ) \\ = 2 \: ( \: 170 \: m \: ) \\ = 2 \times 170 \: m \\ = 340\: m[/tex]
[tex]\sf\purple{Therefore,\:the\:perimeter\:of\:the\:rectangular \:plot\:is\:340\:m.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Sofia works at Cowboy Corner. She receives 10% commission on all of the cowboy hats she sells in a month. If Sofia sells $545 in total sales, what is her commission? (include steps or explanation in ur answer)
Answer:
$54.50
Step-by-step explanation:
10% = 10/100
=545 × 10/100
=5450/100
=54.5
plz help asap. i beg
The answer is -15.
Because others are rational numbers but not integers.
-15 is the only rational number and integer.
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
how do i solve this ?? please explain it to me
Answer:
the first thing that you need to know you need to know you invoice and then you will know how to calculate your equation
What is the Tenth term of 3n+2
Is this statement true or false?
It is a good idea to check the car history using an online site.
O true
O false
The stemplot below displays the arm spans, in centimeters, for 20 students.
A stemplot titled arm span (centimeters) has values 153, 155, 156, 160, 162, 162, 162, 163, 163, 165, 166, 167, 170, 173, 180, 181, 182, 189, 192, 202.
Identify the outliers, if they exist.
Answer:
189 and 202
Step-by-step explanation:
An outlier is a value that will have an effect on the mean of a set of values. It has an obvious difference compared to other values. They can be easily determined in a set of given data by mere observation.
From the given data in the question, it would be observed that the chronological difference among set of the data is either 1, 2, 3 or 4. But the two numbers that could be referred to as outliers are 189 and 202. This is because the have a wider range than others.
Answer:
Here are the answer choices you forgot:
There are no outliers.
153
202
192, 202
-----------
C & D are incorrect.
I think it is A : no outliers.
John has 8 cards that spell the word H O M E W O R K. She shuffles them and then places them face down. Assume she returns the card on each occasion.
b) What is the probability she will choose a consonant?
Answer:
The probability that I will choose a consonant is 62.50%.
Step-by-step explanation:
Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:
Vowels: 3
Consonants: 5
5/8 = X
0.625 = X
0.625 x 100 = 62.50
Therefore, the probability that I will choose a consonant is 62.50%.
Find the degree of the polynomial function y=(x-5)(x+5)
Answer:
Step-by-step explanation:
y = (x + 5)(x - 5)
= x² - 5²
= x² - 25
Degree of this polynomial is 2.
Highest power of the variable x will be the degree of the polynomial.
What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Ravi bought 3 pens and 4 notebooks for $28. Lola bought 4 pens and 8
notebooks at the same store for $52. How much does one notebook cost?
Answer:
5.50 Each
Step-by-step explanation:
Answer:
Step-by-step explanation:
3P + 4N = 28
6P+ 8N = 56
4P +8N 52
2P = 4
P = 4/2 = 2 = $2
3(2)+4N = 28
4N = 28-6=22
N = 22/4 = 5.5= $5.50= cost of one notebook
Please answer with work shown (only if possible)
Answer:
103.2 km
Step-by-step explanation:
Hi there!
1) Draw a diagram
Please see the picture below.
2) Solve for the length of the diagonal
Because Jacob's path creates a right triangle, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where c is the side opposite the right angle and a and b are the other sides
Plug in the known information
[tex]64^2+81^2=c^2\\64^2+81^2=c^2\\10657=c^2[/tex]
Take the square root of both sides to isolate c
[tex]10657=c^2\\103.2=c[/tex]
I hope this helps!
the diameter of a circle is 12 centimeters. What is the circumference?
Answer:
the circumference is 37.7 cm
Answer:
circumference = 37.7
Step-by-step explanation:
in the photo I explained the formula of how to find the circumference
Which sign makes the statement true?
9
No
12
12
<
=
Answer:
12=12Step-by-step explanation:
#hopeithelpsstay safe and keep wellmark me as brain liest plsWILL MARK BRAINLEIST!!
Answer:
x = 12.26
Step-by-step explanation:
sin = opp/hyp
sin 50 = x/16
multiply both sides by 16
16 * sin50 = x
Use calculator
x = 12.256711089903649
Rounded
x = 12.26
The answer is:
12.26
you multiply both sides
Find the value of x.
Answer:
100
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
5+x +75 = 180
Combine like terms
x+80 = 180
Subtract 80 from each side
x +80-80=180-80
x = 100
Answer:
x=100°
Step-by-step explanation:
(5+x)°+75°=180°(being a straight line)
x=100°
A line has equation y= −2/3 x-4.Write down the y-intercept of the line.
What is the value of xin this triangle?
Enter your answer as a decimal. Round only your final answer to the
nearest hundredth.
32 58
Answer:
33.48
Step-by-step explanation:
Find the diagram attached
Opposite = 32
Hypotnuse = 58
Sin theta = opposite/hypotenuse
Sin theta = 32/58
Sin theta = 0.5517
theta = arcsin(0.5517)
theta = 33.48
Hence the value of x to the nearest tenth is 33.48
Lena rolled two number cubes and recorded the results. What is the experimental probability that the sum of the next two numbers rolled is greater than 5? Please help
Given:
Lena rolled two number cubes and recorded the results.
To find:
The experimental probability that the sum of the next two numbers rolled is greater than 5.
Solution:
If two number cubes rolled, then the total possible outcomes are:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (21,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Total number of possible outcomes = 36
The possible cases in which the sum is less than or equal to 5 are (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1).
In 10 cases the sum is less than or equal to 5. So, the number of cases in which the sum is greater than 5 is:
[tex]36-10=26[/tex]
So, the number of favorable outcomes = 26.
Now, the experimental probability that the sum of the next two numbers rolled is greater than 5 is:
[tex]P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P=\dfrac{26}{36}[/tex]
[tex]P=\dfrac{13}{18}[/tex]
Therefore, the required probability is [tex]\dfrac{13}{18}[/tex].
13. Find the vertex of f(x)=x2 -6x +8 .
a
(3,-1)
b
(-3, 1)
c
(-3,-1)
d
(3, 1)
9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (2, 0). What are the slope and y-intercept of the linear function graphed to the left?
Answer:
0,1
Hope it helps!
if your talking about edge
slope: -½
y-intercept: 1
Step-by-step explanation:
B
If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to school
Answer:
1,138 steps
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Steps counted to school = 1,138
So, we can calculate the steps he take walking to school by using following formula,
Steps take walking to school = Steps he counted to school
So, Steps take walking to school = 1,138 steps
Hence, Esteban take 1,138 steps while walking to school.
{WILL GIVE BRAINLIEST} pls solve show work or just do on paper and send me a picture
Answer:
you torched a kid today
Step-by-step explanation:
i hope you are happy:(
**PLEASE HELP**
I really need someone to show work on how this equation is solved. I'll give you brainliest if you do!
The blank is the number that should go there
100, 103,__118, 130, 145...
You get a gift of $1,000. You decide that you want to invest all of the money in a savings account. However, your bank has two different savings plans. Determine the final amount in the account for each plan in 5 years. Round your answers to two decimal places if needed.
Plan A: The bank gives you 4% interest rate and it is compounded every two months.
Plan B: The bank gives you a 10% interest rate and compounds the interest every 6 months.
Final Account balance for Plan A: $
Final Account balance for Plan B: $
Step-by-step explanation:
write what you know
P = 1,000
n = 5 years
Plan 1
i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%
write and solve
future value = p(1+i)^n = 1000(1+0.24)^5
plan 2
i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%
write and solve
future value = p(1+i)^n = 1000(1+0.20)^5
Which is odd one out? Explain how you know?
15,000 ones 1,500 tens 15 thousands 15,000 15 ten thousands
Given:
15,000 ones, 1,500 tens ,15 thousands, 15,000, 15 ten thousands.
To find:
The odd one out.
Solution:
First, we need to convert all the values in the standard form of a number.
[tex]15000\text{ ones}=15000\times 1[/tex]
[tex]15000\text{ ones}=15000[/tex]
Similarly,
[tex]1500\text{ tens}=1500\times 10[/tex]
[tex]=15000[/tex]
[tex]15\text{ thousands}=15\times 1000[/tex]
[tex]=15000[/tex]
[tex]15\text{ ten thousands}=15\times 10000[/tex]
[tex]=150000[/tex]
The standard form of all numbers is 15,000 except 15 ten thousands.
Therefore, the odd one out is 15 ten thousands.
List the first three terms of this sequence: an = 3 • 5n – 1
Answer:
1st term = 14
2nd term = 29
3rd term = 44
Step-by-step explanation:
1st term = 3 x (5 x 1) - 1
= 3 x 5 - 1
= 15 - 1 = 14
2nd term = 3 x (5 x 2) - 1
= 3 x 10 - 1
=30 - 1 = 29
3rd term = 3 x (5 x 3) -1
= 3 x 15 - 1
= 45 - 1 = 44
1. What is the value of x?
A. 21
B. 41
C. 22
D. 20
Answer:
I think the answer is 20!!!!!
