A parallelogram has adjacent sides 25 cm and 6 cm . if one diagonal is 29 cm then find area , height corresponding to the sides 25 cm and perimeter.
very important question.....
plz do fast.
Answers
Answer:
height = 4.8 cm
area = 120 cm²
perimeter = 62 cm
Step-by-step explanation:
**Please refer to the attached diagram when following the step-by-step**
First, find m∠C (green angle on diagram) by using the cosine rule:
[tex]c^2=a^2+b^2-2abcos(C)[/tex]
[tex]\implies 29^2=6^2+25^2-2(6)(25)cos(C)[/tex]
[tex]\implies cos(C)= \frac{29^2-6^2-25^2}{-2(6)(25)}[/tex]
[tex]\implies cos(C)= \frac{180}{-300}=-\frac{3}{5}[/tex]
[tex]\implies cos(C)=126.8698976... \textdegree[/tex]
Therefore, the interior angle of the right triangle at point C (blue angle on diagram) is:
[tex]180-cos^{-1}(-\frac{3}{5})=53.13010235... \textdegree[/tex]
Now use the Sine Rule (for finding sides) to determine height (h):
[tex]\frac{6}{sin(90)}=\frac{h}{sin(53.13..)}[/tex]
[tex]\implies \frac{6}{1}=\frac{h}{\frac{4}{5}}[/tex]
[tex]\implies 6 \times \frac{4}{5}=h[/tex]
[tex]\implies h=\frac{24}{5}=4.8[/tex]
So the height = 4.8 cm
Now we have determined the height, we can calculate the area by using the area of a parallelogram formula:
Area of a parallelogram = base x perpendicular height
⇒ area = 25 x 4.8 = 120 cm²
Parallelogram is a four-sided shape made up of two pairs of straight parallel lines that are equal in length.
Perimeter = sum of the sides
⇒ perimeter = 6 + 6 + 25 + 25 = 62 cm
Related Questions
Ahmad has $112 in his checking account and earns $75 per weeks
working part-time. Assume he has no expenses currently.
Calculate how much will Ahmad save in his account at the end of 4
weeks 2
Answers
Answer:
your is.... 2212
Step-by-step explanation:
7 days in a week, right?
7 * 4 = 28
75 x 28 + the additional 112
Are the following fractions equivalent? Explain.
15/60 = 3/4
Answers
Answer:
No
Step-by-step explanation:
is 15/60 = 3/4?
Find the lowest term of 15/60.
The LCD of 15 and 60 is 15 so......
15 ÷ 15
— —
60 ÷ 15
= 1/4 (the lowest term of 15/60)
Since 1/4 is not equal to 3/4
Then 15/60 is not equivalent to 3/4.
Hope it helps.
Do this problem 3 2/3x-4/5(x-3 3/4)
Answers
-4x^2+15x+10/ 5x
Answer if the X is next to the 2/3 (multiplying 2/3):
(43/15) x +3
Equations of the form cosθ=k where -1 ≤ k ≤ 1 has/have ______________ solution(s).
A. two
B. infinitely many
C. one
D. none
Answers
Homework Pls Help Me
Answers
Answer:
Just if you need help im a straight A student
Step-by-step explanation:
Find the circumference of the circle below:
15.7 cm
31.4 cm
100 cm
314 cm
help me
Answers
Answer:
31.4 cm
Step-by-step explanation:
[tex]C=2\pi r[/tex]
[tex]=2*\pi *5[/tex]
[tex]\neq 31.41593[/tex]
≈ 31.4
3. Over the next two days, Job.net Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?
Answers
Here is my answer. Good luck.
Area of a circle D=10
a.62.80
b.78.50
c.314
d.15.70
e.31.40
Answers
Area of circle= 5*5*3.14
Area of circle= 78.54
Order these expressions for least to greatest:
A.∛-8, B. 0, C. 8, D. 6, E. ∛8 , F. √10, G. ∛-27, H. ∛27
Answers
Answer:
^3sqrt(-27), ^3sqrt(-8), 0, ^3sqrt(8), ^3sqrt(27), sqrt(10), 6, 8
Step-by-step explanation:
You just need to convert these to decimals to figure it out.
In our case
^3sqrt(-27) = -3
^3sqrt(-8) = -2
^3sqrt(8) = 2
^3sqrt(27) = 3
sqrt(10) = 3.16
So...
-3, -2, 0, 2, 3, 3.16, 6, 8
I need help please someone help. I have to convert from base 10 to another base.
Answers
Answer:
it is 2ca base 16
In the Trendline option window (curve fitting), the Set Intercept value is set to zero. What does this mean
Answers
Answer:
the data is modeled as a proportion
Step-by-step explanation:
When the trendline is chosen to be linear, the intercept value can be computed from the data, or it can be set to some value of your choosing. When it is set to zero, the data is approximated by a line that goes through the origin. That is, the model is of a proportional relationship.
Despite booming new car sales with their cha-ching
sounds, the average age of vehicles on roads is not
going down. The bar graph shows the average price of
new cars in Country A and the average age of cars o
roads for two selected years. In 2014, the average price
of a new car was $37,600. For the period shown, new-
car prices increased by approximately $1250 per year.
If this trend continues, how many years after 2014 will
the price of a new car average $47,600? In which year
will this occur?
How many Years after 2014 will the average price of new cars average $47,00?
I provided a Picture for the graph! Thanks a ton!
Answers
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, 8 years after 2014 (aka the the year 2022) is when the new car average price will be $47,600.
13.333...% as a fraction
Answers
Answer:
[tex]13 \frac{333}{1000}[/tex]
Step-by-step explanation:
The amount of numbers after the decimal point tell you the amount of zeros to put after the 1 in the denominator.
Just rewrite the whole number infront of the decimal point into the fraction
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
[tex]13.333...\%=\frac{13.333...}{100}=\frac{10+3.333...}{100}=\frac{10}{100}+\frac{3.333...}{100}[/tex]
[tex]=\frac{1}{10}+\frac{\frac{10}{3}}{100}=\frac{1}{10}+\frac{1}{30}=\frac{4}{30}=\frac{2}{15}[/tex]
Simplify the expression.
2.4 - 4.3n - 3n + 6
Answers
Answer:
-7.3n+8.4
Step-by-step explanation:
combine like terms
Hope this helps! Have a great day!!
Answer:
8.4 - 7.3n
Step-by-step explanation:
1. Rearrange
2.4 - 4.3n - 3n + 6 = 2.4 + 6 - 4.3n - 3n
2. Combine like terms
2.4 + 6 - 4.3n - 3n = 8.4 - 7.3n
The answer is 8.4 - 7.3n
Hope this helps :)
Have a great day!
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 3 or 5?
Answers
Answer:
3
Step-by-step explanation:
you should divide 52 by a number to get 3
(2x-3)(3x+4) expand and simplify?
Answers
Answer:
6x2-x-12
Step-by-step explanation:
The given expression:
(
2
x
−
3
)
(
3
x
+
4
)
Simplify by using the FOIL method:
(
2
x
−
3
)
(
3
x
+
4
)
=
2
x
⋅
3
x
+
2
x
⋅
4
−
3
⋅
3
x
−
3
⋅
4
=
6
x
2
−
x
−
12
Therefore, the simplest form of the given expression is
6
x
2
−
x
−
12
.
Quadrilateral KLMN is similar to quadrilateral OPQR. Find the measure of side QR.
Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
M
21
N
R
13
K
43
0
Answers
Answer: 12.6=13
Step-by-step explanation:
Rewrite the quadratic function below in standard form. y = 3(x+9)(x+1)
Answers
Answer:
y = 3x² + 30x + 27
Step-by-step explanation:
Formula: Ax + By = C
y = 3 (x + 9) (x + 1)
y = 3x + 27x + 3x + 7
y = 3x² + 30x + 27
Micah is buying items for a birthday
party. If he wants to have the same amount of each
item, what is the least number of packages of cups
he needs to buy?
Help thanks
Answers
6x4 is 24
and 8x3 is also 24
so 4 cups and 3 plates would give him 24 of each.
Answer:
Micah needs to buy 4 packs of cups and 3 packs of plates.
Step-by-step explanation: Micah wants to buy the same amount of both the supplies, so we have to find the LCM of 8 and 6, which would be 24. 6x4=24 and 8x3+24. Good Luck and Stay Brainly!
14 students have volunteered for a committee. Eight of them are seniors and six of them are juniors. (a) How many ways are there to select a committee of 5 students
Answers
======================================================
Explanation:
We have five slots to fill, which I'll label A through E.
There are,
14 choices for slot A13 choices for slot B12 choices for slot C11 choices for slot D10 choices for slot EEach time we fill up a slot, we count down by 1.
This gives 14*13*12*11*10 = 240,240 different permutations. If order mattered, then this would be the answer.
However, order doesn't matter on a committee without rankings. Each member has the same rank as any other.
Within any group of 5 people, there are 5! = 5*4*3*2*1 = 120 ways to arrange them. This means we divide that 240,240 figure by 120 to find the number of combinations.
There are (240,240)/(120) = 2002 different combinations.
---------------------------------------
Here's how we could have done the problem using the nCr combination formula.
Plug in n = 14 and r = 5.
n C r = (n!)/(r!(n-r)!)
14 C 5 = (14!)/(5!*(14-5)!)
14 C 5 = (14!)/(5!*9!)
14 C 5 = (14*13*12*11*10*9!)/(5!*9!)
14 C 5 = (14*13*12*11*10)/(5!)
14 C 5 = (14*13*12*11*10)/(5*4*3*2*1)
14 C 5 = (240240)/(120)
14 C 5 = 2002
The average size of a human cell is one-ten-thousandths (0.0001) of a meter. Write it in scientific notation. ( Follow this format without spaces: _.___x10^__ )
Answers
Answer:
The average size of a human cell is one-ten-thousandths (0.0001) of a meter. Write it in scientific notation. ( Follow this format without spaces: 1769 ma 20
A bag contains sixty marbles. Adam takes 18 of them. The rest are shared equally between Oscar, Priya and Daisy. How many marbles does Daisy get?
Answers
Answer:
14
Step-by-step explanation:
Take away the marbles that adam has
60-18 = 42
There are 42 marbles to divide between Oscar, Priya and Daisy.
Divide 42 by 3
42/3 = 14
Daisy gets 14 marbles
Daisy gets 14 marbles
How to determine the amount Daisy got?The number of marbles in the bag is:
Marbles = 60
When Adam took 18 marbles, the remaining number of marble is:
Marbles = 60 - 18
Marbles = 42
When the remaining marbles are shared by Oscar, Priya and Daisy.
The amount by Daisy is:
Daisy = 42/3
Daisy = 14
Hence, Daisy gets 14 marbles
Read more about quotients at:
https://brainly.com/question/7068223
y+2=-3(x-1)in slope intercept form
Answers
First you distribute the -3. So -3 times x which is -3x and -3 times -1 which is positive 3. Therefore you get y+2=-3x+3.
Then you subtract the 2 from both sides. 2-2=0, so you have just y. Now subtract 2 from the 3 on the right and you get 1. Therefore you get y=-3x+1.
Brainliest if correct
Answers
Answer:
y = 3
Step-by-step explanation:
Since x = 4
4 + y = 7
Subtract 4 from both sides of the equation
y + 4-4 = 7 -4
Simplify
y =3
[RevyBreeze]
Solve for X Please!!
Preferably All of them
Answers
Answer:
10) 54
11) 128
12) 12
13) 47
14) 21
15) 3
16) 163
17) 45
18) 11
help needed brainliest will be given for attempt
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Answers
Answer:
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Step-by-step explanation:
A new movie theater opens at the local mall. During the first month, the owner collected information
on how many customers they had throughout each day. The owner concluded that the number of
customers the theater has at any given moment can be represented by C(x) = -x2 + 11x where x
represents the number of hours that the movie theater has been open on a given day. The theater
opens at 12:00 PM.
At what time does the theater have no customers?
a.
11:00 PM
b. 5:30 PM
c. 2:00 PM
d. 8:30 PM
Answers
The time at which the theatre does not have any customers is; Choice A: 11:00 PM
Functions and variableFrom the task content;
The function which represents the number of customers the theater has at each point in time is;C(x) = -x² + 11xHence, when C(x) = 0, the theater has no customers.
0 = -x² +11xDivide through by x;
0 = -x +11x = 11.
Read more on functions and variables;
https://brainly.com/question/24253401
8. If most people score a 90 or higher on this exam (assume the mean is between 75-85), the
distribution will be:
a. Negatively skewed
b. Positively skewed
c. Not skewed (normally distributed)
d. Mesokurtic
Answers
Hike it is right?
a song has 540 beats. if the song is 3 minutes long, how many beats per minute does the song have? ( PLEASE AWNSER UNTIL 10 MINUTES AND I WILL DELETE)
Answers
Answer:
180
Step-by-step explanation:
Divide 540 by 3 to get 180 which is your answer!
Have a good day!
Please mark brainliest!
Solution:
Note that:
540 beats = 3 min.Simplify the equation to know how much beats in 1 minute.
540 beats = 3 min.=> 1 minute = 540/3 beats=> 1 minute = 180 beatsThe beats per minute in this song is 180 beats per minute.
please please please I'm begging I need help ....... Describe the difference between these two straight lines.
Answers
Answer:
From the graph, the answer should be crisscross and perpendicular.
Step-by-step explanation:
Both are straight lines. As they have same slopes. They are parallel to each other. They do not crisscross each other and is not perpendicular.