Answers
===================================================
Explanation:
Focusing on triangle ACD, we see that AC = 20 is the hypotenuse and AD = 20/2 = 10 is the short leg. The short leg is half that of the hypotenuse when working with 30-60-90 triangles.
Also, for these types of triangles, the long leg is sqrt(3) times that of the short leg. That makes CD = AD*sqrt(3) = 10*sqrt(3)
The opposite sides are the same length, meaning BC = AD and AB = CD.
-----------
The perimeter of rectangle ABCD is
P = AB+BC+CD+AD
P = 10*sqrt(3) + 10 + 10*sqrt(3) + 10
P = 20 + 20*sqrt(3)
P = 54.6410161513776
P = 54.6 cm is the approximate perimeter
Answer:
54.64 cm
Step-by-step explanation:
The perimeter of a rectangle is the total length of all the sides of the rectangle. Hence, we can find the perimeter by adding all four sides of a rectangle. Perimeter of the given rectangle is a + b + a + b.
Length of CD = 17.32 cm from :
[tex] \sin(60) = \frac{cd}{20} \\ then \: x = 17.32 \: cm[/tex]
now CD = BA
Now we must determine length of AD :
[tex] \sin(30) = \frac{ad}{20} \: then \: ad \: = 10 \: cm[/tex]
Now :
perimeter = 17.32 + 17.32 +10+10 = 54.64 cm
Related Questions
what is the distributive property of 6(14+7)
Answers
Answer:
126
Step-by-step explanation:
6 (14 + 7)
6 (21)
126
Which one of the following compound inequalities has no solution?
Answers
From the following compound inequalities, all the compound inequalities have a solution.
What is compound inequality?A compound inequality is a type of inequality that comprises two basic inequalities.
From the given information, we have:
2x + 3 < 3x - 4 and 3x + 7 > 5x - 92(x -6) < 3(x+6) and 6(x+3) > 9(x-1)8x + 15 ≤ 4x - 5 and -7x + 2 < -6x + 3-5x - 1 ≥ -7x + 9 and -4x - 7 < 5x + 11To determine the compound inequality with no solution, we need to solve each of the inequalities.
1.
2x + 3 < 3x - 4 and 3x + 7 > 5x - 9
Collect like terms
= 2x - 3x < - 4 - 3 and 3x - 5x > - 9 - 7
= -x < -7 and -2x > -16
= x < 7 and x > 8 (has a solution)
2.
2(x -6) < 3(x+6) and 6(x+3) > 9(x-1)
Open brackets
= 2x - 12 < 3x + 18 and 6x + 18 > 9x - 9
Collect like terms
= 2x - 3x < 18 + 12 and 6x - 9x > - 9 - 18
= - x < 30 and - 3x > - 27
= x > -30 and x > 9 (has a solution)
3.
8x + 15 ≤ 4x - 5 and -7x + 2 < -6x + 3
Collect like terms
= 8x - 4x ≤ - 5 - 15 and -7x - 6x < 3 - 2
= 4x ≤ - 20 and -13x < 1
= x ≤ -5 and x < - 1/13 ( has a solution)
4.
-5x - 1 ≥ -7x + 9 and -4x - 7 < 5x + 11
= -5x + 7x ≥ 9 + 1 and -4x -5x < 11 + 7
= 2x ≥ 10 and -9x < 18
= x ≥ 5 and x < -2 ( has a solution)
Learn more about compound inequality here:
https://brainly.com/question/7070563
#SPJ1
Ivanna has bought 30 pounds of dog food. She feeds her dog 3/5 pounds for each meal. For how many meals will the food last?
Answers
Answer:50
Step-by-step explanation:
3/5 = 3 ÷ 5 = 0.6
30 ÷ 0.6 = 50
otra explicacion:
30/1 ÷ 3/5= 30/1 x 5/3 = 150/3 = 50
Integer x is evenly divisible by 3. Which expression below is also evenly divisible by 3?
A. 2x+ 1
B. 3x-5
C. 4x-1
D. 4x+6
Answers
Figure ABCD is a parallelogram
What is the value of x?
6
7
8
9
Answers
Step-by-step explanation:
Can u upload image so that i can help u
I need help thank you
Answers
Answer:
9 is the answer
Step-by-step explanation:
You will multiply 3x3 and 9x1 it will have the least common denominator
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answers
Answer:
isn't that the same as before? :D
100 points and brianllest for whoever answer first
Answers
Answer:
5/12 hour or 25 minutes
Step-by-step explanation:
The formula is
distance = rate * time
changing minutes to hours (50 * 1 /60 ) = 5/6 hours
distance = 20 mph * 5/6 hours
distance = 50/3 miles
We need to go the same distance at 40 mph
50/3 = 40 mph * time
Multiply each side by 1/40
50 /3 * 1/40 = 40 * 1/40 *t
50/3 *1/40 =t
5/12 of an hour
Changing back to minutes
5/12 * 60 =25
Tres amigos obtienen un premio de $1000.00 en la lotería, ¿cómo deben repartirlo si uno de ellos aportó $12.00, el otro $8.00 y el tercero $15.00?
Ayudeeen es para hoyyyy
Answers
Answer:
hii
Step-by-step explanation:
follow me please gugs
I can't remember how to do this. I need help with this.
How many roots do the functions have in common?
f(x)=x^2-9
Answers
one root common that's -3
Step-by-step explanation:
use desmos
The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.
Write and solve an equation to find the number n of pages in the geometry book.
Answers
Answer: An equation is *629 = n - 99. The geometry book has 728 pages*
Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.
Hope this helps! :)
A shop keeper buys a pair of shoes for birr 180 and sells it for birr 225 what is the percentage profit
Answers
Answer:
Percentage profit = 20%
Step-by-step explanation:
Given the following data;
Cost price = birr 180
Selling price = birr 225
To find the percentage profit;
First of all, we would determine the profit;
Profit = selling price - cost price
Profit = 225 - 180
Profit = birr 45
Next, we would determine the percentage profit;
[tex] Percentage \; profit = \frac{profit}{selling \; price} * 100[/tex]
[tex] Percentage \; profit = \frac{45}{225} * 100[/tex]
[tex] Percentage \; profit = 0.2 * 100[/tex]
Percentage profit = 20%
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 34.
SOMEONE HELP ME WITH THIS RIGHT NOW. please
Answers
Answer:
23
Step-by-step explanation:
Using an online calculator and plugging the values in, we get our equation of y=mx + b to become y = 1.2x - 17.8 .
Plugging 34 in for x, we get 1.2(34) - 17.8 = 23 for their projected test grade
Cual es el cociente y el resto de la siguiente división? 64:5= *
a) El cociente es 4 y el resto 5
b) El cociente es 12 y el resto 0
c) El cociente es 4 y el resto 12
d) El cociente es 12 y el resto
Answers
Answer:
D
Step-by-step explanation:
el cociente es 12 y el resto es 4, porque 12 por 5 es 60. 60 es el cociente. y 64-60 = 4 por lo tanto 4 es el resto
Which of the following graphs represents the equation below?:y=−9x−2
Answers
Answer:
C
Step-by-step explanation:
y intercept of the graph is -2
-9x is a very steep gradient
1. What is the equation of the vertical line that passes through the point (3, 4)?
2. What is the equation of the horizontal line that passes through the point (3,4)?
Answers
Answer:
1. the Equation of vertical line=> x=3
2. the Equation of horizontal line
=> y = 4
Answer:
y=4
Step-by-step explanation:
GIVE BRAINLOEST!!! see picture
Answers
Answer:
c. 60
Step-by-step explanation:
If we know that d is 90 degrees. We can make a conclusion that we have a 30, 60, 90 triangle. D is 90 and a triangle is 180 degrees. So we can automatically knock off 90 from the 180 giving us another 90. Now we know that we have a 30 and 60 to work with. F is an angle that is larger than E. So E is 30 and F is 60.
PLEASE HELP Which composition of similarity transformations
maps ALMN to A L'M'N'?
a dilation with a scale factor less than 1 and then a
reflection
a dilation with a scale factor less than 1 and then a
translation
a dilation with a scale factor greater than 1 and then
a reflection
a dilation with a scale factor greater than 1 and then
a translation
Answers
Answer:
a dilation with a scale factor greater than 1 and then a translation (the last option)
The composition of transformation is a dilation with a scale factor greater than 1 and then a translation.
What is Translation?A translation only moves a shape up, down, or from side to side; it has no effect on how it appears.
We have a transformations maps LMN to L'M'N'.
As the size of Triangle L'M'N' is larger as compared to LMN.
The compression is represented by a scale factor with an absolute value between 0 and 1, while the enlargement is represented by a scale factor with an absolute value greater than 1.
Thus, dilation with a scale factor greater than 1 and then a translation.
Learn more about Translation here:
brainly.com/question/3455238
#SPJ5
1. State whether the following sets of lines
are parallel, perpendicular, or neither.
A y=5 and y = -2
B y=8 and x = 8
C y = 4x + 8 and y = -4x - 2
D y=-X+6 and y = x + 1
E y = 6x + 2 and y = 6x
Answers
B: perpendicular
C: neither
D: perpendicular
E: parallel
Explanation: Parallel lines have the same slope. Perpendicular lines have inverted and converted slopes. Neither has neither.
Two companies allow you to pay monthly for your food truck permits. Company A charges a one time fee of $150 and $45 per month. Company B charges a one time fee of $125 and $50 per month. At how many months will the cost be the same for both companies?
Answers
Answer:
5 months
Step-by-step explanation:
150 + 45x = 195 240 285 330 375 420
125 + 50x = 175 225 275 325 375 425
What’s the Missing Side?
PLEASEEE HELPP
Answers
Answer:
11 km
Step-by-step explanation:
34.1 = 3.1x
solve for x
x=11 km
34.1 km^2 /3.1 km =11
Which equation could generate the curve in the graph below?
Answers
Answer:
Your answer is DDDDDDDDD
Step-by-step explanation:
where is the sand dollar
Answers
Answer:
maybe the palm tree is at 5 the rock at -2 and the sand dollar at 0?
or, somthing like that
Step-by-step explanation:
The sand dollar is at zero which is 2 units away from rock and five units away from palm tree
What is Number system?A number system is defined as a system of writing to express numbers.
A sand dollar is 2 units away from rock and five units away from palm tree, We have to find the location of the sand dollar
Let the rock is at -2 on number line
The palm tree is at 5 on number line
So the sand dollar is at 0, as zero is two units away from rock and tree is five units away
Hence, the sand dollar is at zero which is 2 units away from rock and five units away from palm tree
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Each week, Morgan walks a total of 5 miles to and from school, and Whitney walks a total of 6 miles to and from school. Part A Enter a number in each box to complete the ordered pairs showing the total number of miles that Morgan and Whitney will have walked after each week. The first term of each ordered pair is the number of miles Morgan will have walked. The second term is the number of miles Whitney will have walked.
Answers
Answer: (5,10) (6,12) (15,18) (20,24) (25,30)
Step-by-step explanation:
All you have to do is read the question carefully, and if you don’t understand than, keep doubling each number. Example: 5, 10 then you do whitneys part, which is 6,12 than you keep adding 5 and 6
Liam spent $4.76 on a salad bowl, and $3.81 on a cup of coffee. He paid using TWO ten dollar bills. What was Liam's change?
Answers
Answer:
11.43
Step-by-step explanation:
You can start this by adding the total cost of the salad and the coffee.
4.76 + 3.81 = 8.57
Then you have the paid amount of 20 bucks because there was two tens.
20 - 8.57 = 11.43.
How do I find the area of a triangle
Answers
Answer:
you find the area of triangle by the formula
1/2×base×height
Answer:
Area of triangle = ½ × base × height
Step-by-step explanation:
(A = ½ × b × h)
This formula is mainly used to find the area of the triangle.
Someone help me with this one
Answers
Answer:
p' (4,-2)
Step-by-step explanation:
P is at ( -1,5)
We are moving it 5 units to the right so add 5 to the x
We are moving it 7 units down so subtract 7 from the y
p'( -1+5, 5-7)
p' (4,-2)
number 1 and 2 pls help me
Answers
Explanation: 180-105=75
2) A.110
Explanation: 38+32+x=180, x=110
2. A. 110
hope this helps
Use the Distributive Property to find 1/3×6 1/2.
ILL MARK YOU SOMETHING LIKE BRAINY GENIUS
Answers
Answer:
2 1/6 or 13/6
Step-by-step explanation:
Equation: [tex]\frac{1}{3}[/tex] × 6[tex]\frac{1}{2}[/tex]
Distribute: (1/3) ( 6 + 1/2)
(1/3)(6) + (1/3)(1/2)
2 + 1/6
2 1/6 or 13/6
Find the volume. Whoever answers I will reward the brainliest please help
Answers
Answer:
A. 900 un³
Step-by-step explanation:
Volume = Area triangle x height
Area triangle = 1/2 (15 x 8) = 1/2(120) = 60
60 x 15 = 600 + 300 = 900 un³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K