Answer:
120ft.
Step-by-step explanation:
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.
The perimeter of the rhombus is P = 120 feet
What is the perimeter of Rhombus?A Rhombus has four sides of the same length, its perimeter can be determined using the formula Perimeter = 4a, where "a" stands for the side's length.
When the two diagonals of a rhombus are known,
The perimeter = 2√p² + q²
where 'p' and 'q' are the diagonals.
Given data ,
Let the rhombus be represented as ABCD
Let the side length of the rhombus be AB = 30 feet
And , perimeter = 2√p² + q²
And , P = AB + BC + CD + AD
Due to the four triangles' similarity, we may conclude that AC is divided at O. So, we are aware that AO = 15 feet.
In ΔAOD,
(Perpendicular/hypotenuse) = sin 30°
or, 1/2 = 15/AD
otherwise, AD = 15 x 2 = 30 ft
So, AD equals 30 feet.
Given that all of a rhombus' sides are equal and all four of its triangles are the same, we have AB = BC = CD = AD = 30 feet.
On simplifying , we get
P = 4 ( 30 feet )
So , P = 120 feet
Hence , the perimeter is 120 feet
To learn more about perimeter of rhombus click :
https://brainly.com/question/4321700
#SPJ7
due in a few hours, i'll give brainliest to the correct answer!!!
Answer:
Angle a=45, Angle b=45
Step-by-step explanation:
The angles are complementary angles which means they both add up to 90 degrees. And if angles a and b are equal then its 90/2 which is 45.
I need help with this fast! Thanks!
What is the value of the expression? 9 3/4−2 1/5+1/2
_ -- > Ex: 9 1/7
I need this fast!
Answer: 8 1/20 or 8.05.
Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.
solve the system of equations
−4x+3y=−2
y=x−1
x =
y =
what is 12% of 75? =)))
Answer:
Hope this helps!
Step-by-step explanation:
12% of 75 would be 9
9
Step-by-step explanation:
12/ 100 × 75
3/ 25 × 75
75/ 25 = 3
3 × 3 = 9
hope it helps!
2x + 49 = -8 (-x-5)
Show your work please :D
Answer:
2x + 49 = -8 (-x-5)
x=-57/2
x=-28.5
because if you substitute x for 28.5, it makes it equal
Step-by-step explanation:
Hope I Helped!!!
cosa/(1+sina)+cosa/(1-sina)=2seca
prove this:)
Answer:
Please check explanations
Step-by-step explanation:
Using the difference of two squares, the lowest common multiple becomes;
1-sin^2 a
Thus, we have that;
cos a (1-sin a) + cos a (1 + sin a) /1 - sin^2 a
1 - sin^2 a = cos^2 a
That means;
{cos a - cos a sin a + cos a + cos a sin a}/ cos^2 a
= 2cos a / cos^2 a
= 2/cos a
but 1/cos a = sec a
Thus;
2/ cos a = 2 sec a
За + 2b – 8а + Ь
Please help
Answer:
-5a+3b
Step-by-step explanation:
-5a+3b Combine like terms
please help!!!!!!!!!!!! !!!
A6 ft tall man standing next to a tree casts a 8 ft shadow. If the tree is 15 ft tall then how long is its shadow?
Answer:
The tree's shadow is 20 ft long.
Step-by-step explanation:
If you take 6 and 15 and turn it into a fraction 6/15 and take 8 and the missing value (x) and turn that into a fraction 8/x, then you can move to the multiplication.
6/15 *8/x = 6x=120/6
120/6=20
Hope this helps :)
?• (-10) = 90
Please help I need it now
Answer:
x = -9
Step-by-step explanation:
x • -10 = 90
x = 90/-10
x = -9
Hope this helped! <3
Answer for brainliest
Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?
Answer:
Tyler practiced piano = 48 minutes
Step-by-step explanation:
Missing;
Hen practiced piano = 75 minutes
Given:
Tyler practiced piano = 64 % of Hen
Find:
How long Tyler practiced
Computation:
Tyler practiced piano = 64 % of Hen
Tyler practiced piano = 64 % x 75
Tyler practiced piano = 48 minutes
Mr. Alvarez makes a walkway out of 3 cement slabs. He uses 14 cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet. How many cubic feet of cement is the middle slab?
Need help Pls!!
Answer: [tex]6\ ft^3[/tex]
Step-by-step explanation:
Given
[tex]14\ ft^3[/tex] cement is used
The volume of each square cement slab is [tex]4\ ft^3[/tex]
So, Volume of two square slab=[tex]2\times 4=8\ ft^3[/tex]
The volume of middle slab= Total Volume -Volume of square slabs
=[tex]14-8=6\ ft^3[/tex]
Answer:
6
Step-by-step explanation:
simplify the expression 5^-3
Answer:
It is the 3rd answer, 1/5³. I checked. Happy to help. Brainliest would be thanking.
WILL MARK BRAINLEST!!!!!!
What should be the first step in adding these equations to eliminate y?
8x + 3y = 2
+ 4x - 6y= -7
O A. Multiply the top equation by 4.
O B. Multiply the bottom equation by 8.
C. Multiply the bottom equation by 2.
D. Multiply the top equation by 2.
D. Multiply the top equation by 2.
Answer:
D
Step-by-step explanation:
Given the 2 equations
8x + 3y = 2 → (1)
4x - 6y = - 7 → (2)
Multiplying the top equation (1) by 2 and adding to (2) will eliminate y
16x + 6y = 4 → (3)
Add (2) and (3) term by term to eliminate y
20x + 0 = - 3
20x = - 3 ( y has been eliminated )
a. Write an equation that represents the sum of the angle measures of the triangle. The equation is $=180$=180 .
Answer:
$=19$=19
Step-by-step explanation:
2(2x + 3)^2– 7(2x + 3) - 4
Answer:
Solution in photo
Step-by-step explanation:
Cheryl is thinking of 3 consecutive numbers whose average is less than or equal to half of the smallest number. Write an inequality that she could use to identify the smallest of the three numbers.
Answer:
(10)>(5)
Step-by-step explanation:
A 6-pack of envelopes costs $0.84. What is the unit price?
Answer:
$.14 is the answer :)
Step-by-step explanation:
.84/6=.14
Answer:
$0.14
Step-by-step explanation:
0.84÷6=0.14
Need help asap please
Answer:
Step-by-step explanation:
6.3 in
Please help me........
Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?
X= -1/3
X= -3
X= 2
X= 3
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Given
Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)
Required
Which value of x prove the conjecture otherwise
To do this , we simply substitute the values of x in the options
[tex]1.\ x = -\frac{1}{3}[/tex]
This is negative;
So, there is no need to check
[tex]2.\ x = -3[/tex]
This is also negative;
So, there is no need to check
[tex]3.\ x = 2[/tex]
[tex]x + 3 < x^2[/tex]
[tex]2 + 3 < 2^2[/tex]
[tex]5 < 4[/tex]
This value of x is false because 5 is not less than 4
[tex]4.\ x = 3[/tex]
[tex]x + 3 < x^2[/tex]
[tex]3 + 3 < 3^2[/tex]
[tex]6 < 9[/tex]
I NEED HELP PLEASE !!!!
Answer: de
Step-by-step explanation:
What is the slope of D and E??
Answer:
-4 and 0
Step-by-step explanation:
Rise over Run would give us the slope.
In the first graph, It goes down 4 while it goes 1 to the right.
This means that -4/1 = -4.
The second graph does not go up or down, meaning 0, while it goes 1 to the right.
This means that 0/1 = 0.
Y’all know what to do!
Answer:
The answer is B.
Step-by-step explanation:
Learn it yourself kid.
Answer and Step-by-step explanation:
First, look at the inequality. We see the there is a greater than or equal to sign.
That means the graphs can NOT be C or D, since those graphs only apply to inequalities with the greater than or less than sign.
That leaves us with graphs A and B.
We see the y is greater than the value, so anything above the line is filled in.
That means that graph A is the answer. Which means,
Answer choice B, graph A.
#teamtrees #WAP (Water And Plant)
A coat that usually cost $120.00 is marked 1/3 off. What is the sale price of the coat?
Answer:
The sale price would be $80.00
Step-by-step explanation:
1/3 (33%) of $120 is $40.
$120 - $40 = $80
18. The half-life of a radioactive isotope is 7 years.
Initially, there are 100 grams of the isotope.
Which expression shows the amount of the isotope
remaining after x years?
Answer:
100(0.5)^X/7
Step-by-step explanation:
That is how you would put it ;)
An oblique prism with a square base of edge length x United has a volume of 1/2 x3 cubic units. Which expression represents the heights of the prism
Answer:
The answer is x units.
Step-by-step explanation:
We are tasked to solve for the expression that represents the height of the prism. We are given with the following values:
length = x² units
volume = x³ units
We will use the formula below:
V = length x height
x³ = x² * height
height = x³/x units
height = x units
The answer is x units.
Step-by-step explanation:
Write 43.75 as a reduced fraction.
Answer: 43 3/4
Step-by-step explanation:
Reduce means simplify
43.75= 43 75/100
you can dive each side of 75 and 100 by 5
it will get you to 43 15/20
again it is not reduced dived by five once more
it will get you to 43 3/4
what is the value of (f – 9)(144)?