Answer:
the largest angle of the field is 149⁰
Step-by-step explanation:
Given;
perimeter of the triangular filed, P = 120 m
length of two known sides, a and b = 21 m and 40 m respectively
The length of the third side is calculated as follows;
a + b + c = P
21 m + 40 m + c = 120 m
61 m + c = 120 m
c = 120 m - 61 m
c = 59 m
B
↓ ↓
↓ ↓
↓ ↓
A → → → → → → → → → → → C
Consider ABC as the triangular field;
Angle A is calculated by applying cosine rule;
[tex]a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0[/tex]
Angle B is calculated as follows;
[tex]Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0[/tex]
Angle C is calculated as follows;
[tex]Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0[/tex]
Therefore, the largest angle of the field is 149⁰.
A rectangle has an area of 99 square yards. The width is 2
more than 1 times the length. Find the length and width, in
yards, of the triangle.
Answer:
Width = 11 yards
Length = 9 yards
Step-by-step explanation:
Area = length * width length = x width = w
Area = 99
width = x + 2
length = x
99 = (x) (x+2)
99 = x^2 + 2x
x = 9, or -11
Since we are talking about length we know x can't be -11, so we can rule that answer out.
We now know x = 9, so the length is 9 yards, now we only need to plug in 9 as x in the width equation.
w = 9 + 2
w = 11
The width is 11 yards and the length is 9 yards.
Please help! This is hurting my brain.
I don't know what the equal sign means, but it could be a plus or a minus symbol.
Answer:
6(2p-1)(p-4)
Step-by-step explanation:
Here, we want to factorize the given equation
we have to bring the right hand side values to the left
We have this as;
12p^2 - 10p = 44p - 24
12p^2 -10p -44p +24 = 0
12p^2 - 54p + 24 = 0
6(2p^2 -9p + 4) = 0
6(2p^2 -p-8p + 4) = 0
6(p(2p - 1) -4(2p - 1)) = 0
= 6(p-4)(2p-1) = 0
An office has an area of 120m² and it is 12m wide. Write an equation to represent the area.
Answer:
Step-by-step explanation:
12y =120 y : the lenght
The cafeteria serves pizza every 10 days and corn every 4 days. If they are serving pizza and corn today, in how many days will they serve them together again?
Answer:
Well it would be 100 days
Step-by-step explanation:
Because they had pizza every ten days and if you add 5 days a week that's 50 days they sell pizza. If your talking corn they sell it every 4 days times 5 days a week that's 20 days of corn. Then you do 50 x 20 and then you get 100 days of pizza and corn, so it would be 100 days before they sell pizza and corn together again!
ANSWER PLSSSSSSSSSSSSSSS
NO LINKS
Answer:
The mode would be 8, since it occurs the most
A line has a slope of 1 and passes through the point (-4,1). What is its equation in
slope-intercept form?
Answer:
y = 1x + 5
Step-by-step explanation:
y = 1x + b
1 = 1(-4) + b
1 = -4 + b
5 = b
y = 1x + 5
ILL GIVE BRAINIEST IF SOMEONE CAN HELP
The following is a list od the heights of students in Molt's class
in inches.
67, 68, 61, 69, 63, 71, 68, 71, 67, 74, 65, 73, 71, 72 and 65
What is the interquartile range of the heights
Answer:
6
Step-by-step explanation:
what fraction is equivalent to 3/10 and has a denominator of 100
Answer:
30/100
Step-by-step explanation:
This should be relatively easy since if the denominator is 100 then x/100 has to = 3/10
Since the denominator 10 has to be 100, you multiply by 10.
3 x 10 = 30
Answer:
30/100
Step-by-step explanation:
3/10 = x/100
now, what times 10 gives us 100. To find this out, divide 100 by 10, and we get 10. Now in fractions, whatever you do with the denominator has to be done with the numerator too. So, if 10 x 10 = 100, then 3 x 10 gives us 30.
Therefore, our answer is 30/100, and yes, when you break this down, or in other words, simplify, you will get 3/10.
Mr.Robin assign 3/4 hour of homework each day to his students for 4 days in a row. How many total hours of homework does Mr.Robin assign his students?
plss help i’ll give brainliest thank you!
Answer:
option a. 3
...........
Answer:
15
Step-by-step explanation:
the highest number that 3 can be multiplied by to get to 45 is 15.
It costs Jorri $6.25 to purchase a 1 week (5 day) lunch card at school. Last month there were only 18 school days. Which equation represents how much money Jorri spent on lunch last month, assuming she bought lunch every day there was school?
SOMEONE PLEASE HELP ME
Answer:
22.50
Step-by-step explanation:
So what i did is times 5 by 3 to get 15 right?
And then you have 3 days left over so to find out how much it costs per day i divided 6.26 by 5 days and got 1.25
so i times 1.25 by the extra 3 days
which you get 3.25
and with the other 15 days you just times 6.25 by 3 because we already know every 5 days is 6.25 if this makes sense to you
Brainliest plz if its right!
If the simple interest on $7,000 for 2 years is 980, then what is the interest rate?
Answer:
7%
Step-by-step explanation:
since the formula says si=ptr/100
so we have to separate r which gives us r =(i ×100)/(p×t)
now putting the values (980×100)/(7000×2)
=7
therefore the rate of interest is 7%
Mr. Mcdonald plants carrots in 5 rows of 6 six each, and he plants radishes in 8 rows of 12 each. How many vegetables did Mr. Mcdonald plant?
Answer: 31
Step-by-step explanation:
Question: Find the perimeter and area of the rhombus.
answer:
perimeter- 12
area- 4.5
step-by-step explanation:
perimeter-
p=4a
=4*3
=12
area-
a=pg/2
=3*3/2
=4.5
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
what is 3+3+3+3x7x9+4+2+7+6+3-5+5-5
Answer:215
Step-by-step explanation:
Answer:
Your answer is 215
Explanation:
Simplify 3\times 73×7 to 2121.
3+3+3+21\times 9+4+2+7+6+3-5+5-5
3+3+3+21×9+4+2+7+6+3−5+5−5
implify 21\times 921×9 to 189189.
3+3+3+189+4+2+7+6+3-5+5-5
3+3+3+189+4+2+7+6+3−5+5−5
Simplify 3+33+3 to 66.
6+3+189+4+2+7+6+3-5+5-5
6+3+189+4+2+7+6+3−5+5−5
4 Simplify 6+36+3 to 99.
9+189+4+2+7+6+3-5+5-5
9+189+4+2+7+6+3−5+5−5
5 Simplify 9+1899+189 to 198198.
198+4+2+7+6+3-5+5-5
198+4+2+7+6+3−5+5−5
6 Simplify 198+4198+4 to 202202.
202+2+7+6+3-5+5-5
202+2+7+6+3−5+5−5
7 Simplify 202+2202+2 to 204204.
204+7+6+3-5+5-5
204+7+6+3−5+5−5
8 Simplify 204+7204+7 to 211211.
211+6+3-5+5-5
211+6+3−5+5−5
9 Simplify 211+6211+6 to 217217.
217+3-5+5-5
217+3−5+5−5
10 Simplify 217+3217+3 to 220220.
220-5+5-5
220−5+5−5
11 Simplify 220-5220−5 to 215215.
215+5-5
215+5−5
12 Simplify 215+5215+5 to 220220.
220-5
220−5
13 Simplify.
215
Question 3 Multiple Choice Worth 1 points)
(06.02 MC)
A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is
filled with water. How much water is in the cylinder? Give your answer in terms of pi.
O 1.162 in
O 1.179TT in
O 1.21517 in
01.251 in
Answer:
Step-by-step explanation:
radius r of cylinder = 18/2 = 9 inches
height h = 15 inches
volume = πr²h = 1215π inches³
Radius of sphere = 3 inches
Volume of sphere = 4π3³/3 = 36π inches³
Volume of water = 1215π - 36π = 1179π ≈ 3704 inches³
What is the volume of this rectangular prism?
4/3
cm
4/3
cm
4/3
cm
Answer:
volume of square =side³
volume of square =(4/3cm)³
volume of square=64/27cm³
The total cost of an $85.73 meal with a 20% tip
Answer:
$102.9
Step-by-step explanation:
20% of 85.73 is 17.15
to finish, you’ll just need to add 85.73 with 17.15 to get you answer,
the total cost of the meal is $102.9
brainliest? ..if you don’t mind
Answer:
$102.876 or $102.88
Step-by-step explanation:
20%/100=0.20
85.73*0.20=17.146
85.73+17.146=102.876
What is the distance between two points with coordinates at
(2, 3) and (6, 5)?
Answer:
4.472135955
Step-by-step explanation:
distance between two points formula: d=[tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
plug in points
At Penny's Pie Shop, it costs $4 for
1
4
of a pie. What is the cost of a whole pie?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
$16
Step-by-step explanation:
$4 for 1/4 of a pie, means that it isn't an entire pie. Luckily for us, this is simple multiplication. You would multiply like so:
4 x 4 = 16
And you'd get your answer, since 4/4 equals 1 whole.
I hope I helped you, and a "Brainliest" is always appreciated! ☺
3.26d+9.75d-2.65 please help
Answer:
okay so what you do is you start by addinf 3.26d to 9.75d which gets you 13.01d
Step-by-step explanation:
the answer would be 13.01d-2.65
Huixian's grandparents own a farm with m goats and
n chickens. She counted that the animals have a
total of 52 heads and 140 legs. How many goats and
how many chickens are there on the farm?
Hint: A goat has 4 legs and a chicken has 2 legs.
help to answer
Answer:
i hope youll be success in your lifee soon
What are the next 3 numbers in the sequence? 2, 4, 9, 18, 23, 46, 51
Answer:
102, 107, 214Step-by-step explanation:
2
4 = 2×2
9 = 4 + 5
18 = 9×2
23 = 18 + 5
46 = 23×2
51 = 46 + 5
51×2 = 102
102 + 5 = 107
107×2 = 214
What are the ages? I really need help ;-;
I WILL GIVE BRAINLIEST!!!
Answer:
g(x) = (f-x)
Step-by-step explanation:
It's relection across the y axis
==> g(x) = (f-x)
Help me plz! : ))) thnx whoever does
determine the speed in metres per second if it takes 10 minutes to walk 1,2 kilometre
Step-by-step explanation:
[tex]speed = \frac{distance}{time} \\ = \frac{(1.2 \times 1000)m}{(10 \times 60)s} \\ = \frac{1200m}{600s} \\ = 2 \frac{m}{s} [/tex]
The gym class has 27 students and 3 soccer balls. What is the ratio of students to soccer balls? O A. 27: 1 O B. 24: 1 O C. 30 : 3 O D. 9:1 E. 24 : 3
1
Find all the real and imaginary solutions to the polynomial below.
4
(x2 – 20) (-3.x2 + 4x – 8)
im not sure if im suppose to simplify the expression or? but if i am the answer is - 3 x^4 + 4 x^3 + 52 x 2 - 80x + 160
I spend time editing and getting answers so can I have a brainliest and/or a thank you please <33 :)