The perimeter = sum of all sides
= 120 + 80 + 50
= 250
So 250 - 3
247
Left space for gate
Now cost of fencing = Rs 20/per meter
= 247 × 20
= Rs 4,940
Now the area of the triangular park can be found using heron's formula
S = (a+b+c)/2
S = (120+80+50)/2
S = 250/2
S = 125
Now
Herons formula = √s(s-a)(s-b)(s-c)
√125(125-120)(125-80)(120-50)
√125(5)(45)(70)
√5×5×5×5×5×3×3×5×14
After Making pairs
5×5×5×3√14
375√14
Therefore 375√14m is the area of the triangular park
Must click thanks and mark brainliest
$\sf\underline\bold{Answer:}$
$\sf\small\underline{\underline{Area\: planted\: by\: the\: gardener : 1452.36m^2}}$$\sf\small\underline{\underline{The\:cost\:of\:fencing\:the\:park:Rs.4940}}$$\space$
$\sf\underline\bold{Step-by-Step:}$
$\space$
$\sf\bold{Given(In \:the\:Q):}$
Sides of the triangular park are 120m,80m and 50m.$\space$
$\sf\bold{To \: find:}$
How much area of the park does she need to plant?The cost of fencing the park ?$\space$
$\sf\small{☆Area\:to\:be\:planted=Area \: of \: ∆ABC}$
$\space$
$\sf\underline\bold{Calculating\:area\:of\:∆ABC:}$
$\space$
Use heron's formula to find the area of the triangle.
$\space$
$\mapsto$ $\sf\small{Heron's\:formula=}$
[tex]\sf\sqrt{s(s-a)(s-b)(s-c)}[/tex]
$\sf{Where\:s=semi\:perimeter}$$\sf{a,b,c\: = side\:of\:the\:∆}$$\sf\small{Here\:a=120,b=80 \:and\: c=50}$$\space$
$\sf\bold{Now,find\:semi\:parameter:-}$
$\sf\small{Perimeter\:of\:the\:∆=120+80+50=250}$
$\sf\small{Semi-Perimeter:}$ $\sf\dfrac{250}{2}$ $\sf\small{=125m}$
$\space$
$\sf\small{Substitute \: the\:values\:in\:heron's\:formula:}$
$\sf{Area\:of\:the\:∆:-}$
$\mapsto$ [tex]\sf\sqrt{125(125-120)(125-80)(125-50)}[/tex]
$\space$
$\mapsto$ $\sf\sqrt{125\times(5)\times(45)\times(75)}$
$\space$
$\mapsto$ $\sf\small\sqrt{2109375}$ $\sf\small{=375}$ $\sf\small\sqrt{15}$
$\space$
$\longmapsto$ $\sf\underline\bold\purple{1452.56m^2}$
______________________________
$\sf\underline\bold{Now,find\:the\:cost\:of\:fencing:}$
$\sf{Cost\:of\:fencing-}$
$\sf{Rate = Rs.20 per \:meter}$ $\sf{Left\:space=3m}$$\space$
$\sf\underline{Hence,the\:gardener\:has\:to\:fence:}$
$\sf{= 250-3=247m.}$$\space$
So,total cost of fencing at the rate of Rs.20 per m:-
$\sf\underline\bold\purple{=247\times20=4940}$___________________________________
how much does 25 feet equal in inches
Answer:
25 feet is equal to 300 inch
Answer:
300 inches
Step-by-step explanation:
12 inches equal a foot, so just multiply 12 by 25 and BOOM, you get 300 inches :)
solve for v.
v/4 = 6.4
Answer:
v = 25.6
Step-by-step explanation:
1. Multiply both sides of the equation by 4.
(6.4)(4) = 25.6
Could someone answer this for me pleasee
Answer:
4 and 6.2
Step-by-step explanation:
ABC=sqrt(2.4^2+3.2^2)=4
ABD=sqrt(2.4^2+3.2^2+4.8^2)=6.2
math help please help please my parents are going to hit me
Answer:
2.1
Step-by-step explanation:
Angle Q of the triangle, SRQ is 47. Let find Length of RQ of SRQ.
If we apply tangent ratio, we get
[tex]x = 5.9[/tex]
Now let find the measure of RP of Triangle SRP.
If we apply tangent ratio, we get
[tex]x = 3.8[/tex]
We can find PQ by Subtraction Poustulate.
[tex]5.9 - 3.8 = 2.1[/tex]
so
Pq=21
Answer:
PQ ≈ 2 cm
Step-by-step explanation:
We know that SRQ is 47.
Next we apply the tangent ratio. We get x = 5.9
Now we find the measure of RP of the triangle SRP.
If we apply tangent ratio, we get x = 3.8
We can find PQ with this:
5.9 - 3.8 = 2.1 ≈ 2 cm
The value of -9(square root) is not-3 because
O A. (3)2 = -9
O B. (-9)2 = -3
O c. 329
D. 92 + -3
Answer:
A) [tex](-3)^{2} \neq -9[/tex]
Step-by-step explanation:
Answer:
A) is correct
Step-by-step explanation:
(-3)**2 = 9, not equal -9
The issue is negative numbers can only be imaginary numbers. The sq root of -9 would be 3i, where i is defined as the sq root of -1.
Find the length of U and V. Show work. Giving out brainliest answer.
Answer:
u =√6
v =√5
Step-by-step explanation:
u = √(1²+2²+1²) =√(1+4+1) = √6
v = √(1²+2²) =√(1+4) = √5
PLS HELP MY PARENTS R GOING TO HIT ME
Answer:
There are 104 nickels and 33 quarters
Step-by-step explanation:
Start of with the equation N = 3Q + 5. q is the amt of quarters n is the nickels. Then substitute Q with 33 since that is the amount of quarters and solve the equation for the amount of nickels that there are.
A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.
Answer:
1/4
Step-by-step explanation:
Count all of the vowels (this will be your numerator):
A and E
2
Count all of the letters (this will be your denominator):
A, B, C, D, E, F, G, and H
8
Write this as a fraction:
2/8
Simplify:
2/8 = 1/4
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
90°
Step-by-step explanation:
Angle C = arccos((84²+13²-85²)/(2×84×13))
= arccos(0/2184)
= arccos(0)
= 90°
Answered by GAUTHMATH
please help asap!!! this is almost due!!!
Answer:
i'm pretty sure the answer is option C. (x^2 + 9x) = 6^2
Step-by-step explanation:
i'm not 100% sure, but i hope this helps.
mary stated that 2.01 x 10⁶ is less than 4.8 x 10⁴ because 2.01 is less than 4.8. what was mary's mistake ?
I'm horrible at scientific notation so some help would be nice. =]
Answer:
Step-by-step explanation:
Scientific notation is always written as a number between 1 and 9.9999999 repeating. There follows a power of 10. I'm not sure which answer would help you see it clearer but
4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.
2.01 * 10^6 means that you shift the decimal 6 places to the right.
2010000
So 2 million is larger than 48 thousand.
The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.
Help anyone can help me do this question,I will mark brainlest.
Circumference of a circle = 2πr
So,
[tex]circumference = 2\pi \: r \\ = > circumference = 2 \times \frac{22}{7} \times \frac{63 \: cm}{2} \\ = > circumference = 2 \times \frac{11}{7} \times 63 \: cm \\ = > circumference = 2 \times 11 \times 9 \: cm \\ = > circumference = 198 \: cm[/tex]
Answer: Therefore, the circumference of circle is 198 cm.
Step-by-step explanation:
diameter = 63 cm
radius = 63/2 = 31.5 cm
circumference = ?
circumference or perimeter of circle = 2*pi*r
= 2*(22/7)*31.5
= (44/7)*31.5
= 198 cm
Grandfather Giovanni's hens lay 180 eggs per day, which are placed in containers of 6 each. How many containers will you need per day?
Answer:
6
Step-by-step explanation:
help xx ndjskcksicksksmnsjzjsjdjsjcjn
B. 4562
Hope this helps(:
!!!!!!!
Answer:
4.562...
Step-by-step explanation:
A rational number can be written in the form a/b where a and b are integer
-54 is an integer ( -54/1)
5/9 is in the form a/b where a is 5 and b is 9
2.13 is in the form a/b where a is 213 and b is 100
4.562... is a non repeating and non terminating decimal, which is irrational
Help please !!!!!!!!!!
Answer:
D
Step-by-step explanation:
A function means that each input value (in this case, x) has only one output value (y). The vertical line test states that if a vertical line intersects with the relation more than once, it is not a function. Therefore, as a vertical line at x=0 intersects with the graph twice, the graph fails the vertical line test
a. $30
b. $60
c. $40
d. $50
Answer:
it should be $30 so letter a
If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
x^2-y^2+z^2-2xz+2y-1
Answer: [tex]\Large \boldsymbol{} (x-y-z+1)(x+y-z-1)[/tex]
Step-by-step explanation:
[tex]\Large \boldsymbol{} 1) \ {(a-b)^2=a^2+2ab+b^2 } \\\\2) \ {a^2-b^2=(a-b)(a+b)} \\\\\\ x^2-y^2+z^2-2xz+2y-1= \\\\\underbrace{x^2-2xz+z^2}_{(x-z)^2} -\underbrace{(y^2-2y+1)}_{(y-1)^2}= \\\\\\ (x-z)^2-(y-1)^2 =(x-y-z+1)(x+y-z-1)[/tex]
NEEDED ASAP will MARK THE CORRECT ONE
Answer:
→ m∠ABE + m∠EBC =180°
→ m∠ABF + m∠FED + ∠DBC =180°
→ ∠ABF ≅ ∠EBC
→ ∠ABE ≅ FBC
~OAmalOHopeO
Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0,2)
Answer:
The answer is (A)
Step-by-step explanation:
help me fast plzzzzzz
Answer:
has been saving is the correct answer I believe
Answer:
"has been saving" is the right answer.
I also need to show calculations for each side length plz help
Answer:
WO [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]
OR [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]
RM [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]
MW [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]
Step-by-step explanation:
One has to find the slope, and the distance between the successive points on the plane. Use the slope and distance formula to achieve this.
Slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Distance formula:
[tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Remember, the general format for the coordinates of a point on a Cartesian coordinate plane is the following:
[tex](x,y)[/tex]
1. WO
Coordinates of point (W): (3, -5)
Coordinates of point (O): (6, -3)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{(-5)-(-3)}{(3)-(6)}=\frac{-5+3}{3-6}=\frac{-2}{-3}=\frac{2}{3}[/tex]
Find the distance:
[tex]\sqrt{((-5)-(-3))^2+((3)-(6))^2}[/tex]
[tex]\sqrt{(-2)^2+(-3)^2}\\=\sqrt{4+9}\\=\sqrt{13}\\[/tex]
2. OR
Coordinates of point (O): (6, -3)
Coordinates of point (R): (4, 0)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-3)}{(4)-(6)}=\frac{3}{-2}=-\frac{3}{2}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{((0)-(-3))^2+((4)-(6))^2}=\sqrt{(3)^2+(2)^2}=\sqrt{9+4}=\sqrt{13}[/tex]
3. RM
Coordinates of point (R): (4, 0)
Coordinates of point (M): (1, -2)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-2)}{(4)-(1)}=\frac{2}{3}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{((-2)-(0))^2+((1)-(4))^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
4. MW
Coordinates of point (M): (1, -2)
Coordinates of point (W): (3, -5)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{(-5)-(-2)}{(3)-(1)}=\frac{-3}{2}=-\frac{3}{2}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]=\sqrt{((3)-(1))^2+((-5)-(-2))^2}=\sqrt{(2)^2+(3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
Find cos A and cot B exactly if a = 15 and b = 11.
Answer:
D. 15/√346
Hope this helps! Have a nice day :)!
(5.9)(1.102)
What’s does that mean
Answer:
brackets stand for multiplication therefore this means multiply 5.9 by 1.102..
I hope this helps and sorry if it's wrong
HELP ASAP!!
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
A. 1/3
B. 3
c. 1/4
D. 4
Answer:
Step-by-step explanation:
I'm pretty sure its b
Can someone please explain how to do this?(Picture above) I'll give brainliest!
Answer:
f(1)=4
f(-3)=4
f(5)=-2
f(0)=2
f(-1)=0
f(3)=2
Step-by-step explanation:
Pose f(x) as your x value. Now apply to the graph
Find the value of x.
PLEASE HELP ASAP!!!!!!
Answer:
does it want the degree????
Four thousand runners began the marathon. Eighty-nine percent of them completed the run. What percentage of the runner finished the marathon?
Answer:
3560 people.
Step-by-step explanation:
You have to do 89% × 4000.
Or 0.89×4000=3560.
So 3560 is the answer.
Look at the figure. How can you prove ∆ABD and ∆ACD are congruent?
A.It is not possible to determine if the triangles are congruent.
B. ∆ABD ≅ ∆ACD by the SSS Postulate.
C. ∆ABD ≅ ∆ACD by the SAS Postulate.
Answer:
Options (C)
Step-by-step explanation:
For the congruence of the triangles ΔADB and ΔADC,
Statements Reasons
1). AB ≅ AC 1). Given
2). AD ≅ AD 2). Reflexive property
3). ∠BAD ≅ ∠CAD 3). Given
4). ΔABD ≅ ΔCAD 4). SAS postulate
Therefore, Options (C) will be the correct option.
If the base linear function is F(x) =-3x and 5 is added to the equation, then what best describes what happened to the base equation? 
A.nothing happened stayed the same
B. The base equation shifts up five units
C. The base equation shifts to the left five units
D. The base equation shifts down five units
E. The base equation shifts to the right to five units
Answer:
E the base equation shifts to the right to five unit from the midpoint
