Answer:
Step-by-step explanation:
Solution :-
we know that,
Area of a ∆ with sides a, b , c and semi- perimeter s is √[s * (s - a) * (s - b) * (s - c)] .
semi - perimeter = (a + b + c)/2 .
given sides of triangular field are 55m, 300m and 300m..
So,
→ s = (55 + 300 + 300) / 2 = 327.5m.
Than,
→ Area of triangular field = √[327.5 * (327.5 - 55) * (327.5 - 300) * (327.5 - 300)] = √[327.5 * 272.5 * 27.5 * 27.5] = 27.5√(327.5 * 272.5) = 27.5 * 298 = 8195 m².
Now given that,
→ Area of triangular field = (7/15)th area of circular park.
So,
→ 8195 = (7/15) * Area of circular park.
→ (8195 * 15)/7 = Area of circular park.
→ Area of circular park = 17560.7 m².
Therefore,
→ πr² = 17560.7
→ (22/7) * r² = 17560.7
→ r² = (17560.7 * 7) / 22
→ r = 74.74 m.
Hence,
→ Perimeter of the circular Park = 2πr = 2 * (22/7) * 74.74 = (3288.56)/7 = 469.8m. (Ans.)
Hope this answer helps you :)
Have a great day
Mark brainliest
what type of angle is this?
Answer:
obtuse angle
Step-by-step explanation:
Hi can someone help me with this pleaseee
Second choice.
Which is 1591.1 cm^2.
Tiana's birthday party costs $2 for every guest she invites. How many guests can there be,
at most, if Tiana can afford to spend a total of $8 on her birthday party?
guests
Answer:
ok so if it cost 2 dollars per guest here what that would look like
1 guest:2$
2 guest:4$
3 guest:6$
4 guest:8$
so she can invite 8 guest
Answer:
4 guest
Step-by-step explanation:
2 dollars for every guest and the budget is $8 so, $2 x 4 guest meets the budget of $8
Find the measure if the missing angle.
Answer: a=
Answer:
by straight line property
a+156=180
a= 180-156
a=24°
Answer:
a=24
expanation
360 divided by 2 is 180 and 180 minus 156 equals 24
The inequality |3-4| > 3 is equivalent to O (A) -3 7 O (D) x < -1 or 2 >7 O (E) r < 1 or r > 7
=========================================================
Explanation:
Rule: if |x| > k, then x < -k or x > k
Using that rule for the given inequality means we have these steps
|x-4| > 3
x-4 < -3 or x-4 > 3
x < -3+4 or x > 3+4
x < 1 or x > 7 ..... choice E
-------------
Here's a visual way to see why this is the case.
|x-4| represents the distance from x to 4 on the number line.
When we say |x-4| > 3, we want to know which points are more than 3 units away from 4 on the number line.
We can plot 4 on the number line, and then measure 3 units below it (to get to 1) and then 3 units above it (to get to 7). If we're in the region 1 < x < 7, then we're within 3 units of 4 on the number line. Otherwise, we're more than 3 units away from the target we're after.
(-0.3)2 ÷ (-0.2)+(-2.56)
Answer:
−0.2542372881
5. A rectangular parking lot has the length (x + 7) and width of (x + 10). If the total area of the parking lot is
180 m, what are the dimensions of the parking lot?
length
width =
Answer:
length = 12
width = 15
Step-by-step explanation:
if you foil (x+7)(x+10) you get:
x²+17x-110 = 0
the factors are:
(x+22)(x-5) = 0
x = -22 and 5
we can dismiss the negative as irrelevant for a measure; therefore, x = 5
length = 5+7, or 12
width = 5+10, or 15
Diane Renay movie she started the movie at 10:46 p.m. and it was 3 hours and 31 minutes long when did the movie End
Answer:
2:17 am
Step-by-step explanation:
3 hours after 10:46 would be 1:46
1:46 plus 31 minutes is 1:77 but there are only 60 minutes in an hour so 1:77 is 17 minutes after 2:00, or 2:17 am
As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____. a. binomial distribution b. Poisson distribution c. normal probability distribution d. hypergeometric distribution
Answer:
c. normal probability distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
By the Central Limit Theorem, it is a normal distribution, so option c.
what is the value of x?
The answer is √306
.
Answer:
Step-by-step explanation:
working with the rectangle-triangle in the image (see atached image)[tex]x^2=15^2+9^2=81+225=306~=>x=\sqrt{306}[/tex]
The choices are agree or disagree
Answer:
agree
Step-by-step explanation:
Answer:
Agree
Step-by-step explanation:
If you multiply 0.2 by 3, you get 0.6
If you multiply 0.6 by 3, you get 1.8
If you multiply 1.8 by 3, you get 5.4
If you multiply 5.4 by 3, you get 16.2
If you multiply 16.2 by 3, you get 48.6
48.6 is close to being half of the island.
Given the Cos(x) = -2/3, then the Sec(x) = ?
What is the answer
Answer:
[tex]sec x = - \frac{3}{2}[/tex]
Step-by-step explanation:
[tex]cos x = \frac{-2}{3}\\\\sec x = \frac{1}{cosx}\\\\Therefore, sec x = \frac{3}{-2} = \frac{-3}{2}[/tex]
Answer:
sec x = -3/2
Step-by-step explanation:
sec = 1/cos
sec x = 1 / (-2/3)
sec x = -3/2
What is the slope of the line that contains the points (-2, 2) and (3, 4)?
O A.
-
5
2
B.
UIN
O c.
O D.
Answer:
2/5
Step-by-step explanation:
(-2 , 2) = (x1 , x2)
(3 , 4) = (x2 , y2)
slope = y2 - y1/x2 - x1
=4 - 2/3 - (-2)
=2/3+2
=2/5
What is the slope of the line?
Pls help! I’ll mark the brainliest
Answer:
m = -3
Step-by-step explanation:
Two poin on this line are (-2, 3) and (0, -3). Both points are formed where grid lines meet precisely.
The change in x as we go from (-2, 3) to (0, -3) is +2 and the change in y is -6. Thus, the slope of the line shown is m = rise/run = -6/2, or m = -3.
Can someone please help me?
Answer:
C
625
Step-by-step explanation:
We must first find the length of the side
So remember that the area of a square is side squared
So to find the length of the side we square root A
Since the perimeter of a square is 4 times the side we end up with 4square root(A)
And the whole thing must equal less than 100
So its C
Practice adding and subtracting decimals. Assignment Which of the equations below have the decimals aligned correctly? Check all that apply 6.71 3.012 + 4.21 12.315 - 0.129 32.002 12.32 + 1.40
Answer:
Step-by-step explanation:
A type of cat food contains chicken bones and chicken pieces in the ratio 20:7. What
weight of chicken pieces is needed to make 2 kg of cat food?
Answer:
0.5185 kg are needed to make 2 kg of cat food
Step-by-step explanation:
Chicken bones and chicken pieces in the ratio 20:7
This means that [tex]\frac{20}{20 + 7} = \frac{20}{27}[/tex] of the total weight is of bones and [tex]\frac{7}{27}[/tex] is of pieces.
What weight of chicken pieces is needed to make 2 kg of cat food?
7/27 of 2kg. So
(7/27)*2 = 14/27 = 0.5185 kg
0.5185 kg are needed to make 2 kg of cat food
uh hi i need help on this
Answer:
Angle 2 = 124 degrees
Step-by-step explanation:
Angles 1 and 2 are corresponding angles since the two lines are parallel.
We can put both numbers into an equation.
3x + 25 = 2x + 58
Subtract both sides by 2x which will give:
x + 25 = 58
Now, we can solve for x, which is:
x = 58-25 = 33
Put back x = 33 into angle 2.
Hence, angle 2 is 2*33 + 58 = 124
Answer:
m∠2 = 124 degrees
Step-by-step explanation:
By the definition of "Same Side Corresponding Angles" the 2 angles given are congruent to each other, therefore we can say;
3x + 25 = 2x + 58
x + 25 = 58
x = 58 - 25
x = 33
Now that we have x = 33, we can substitute 33 in for x, in equation given for angle 2 to find it's measure;
∠2 = 2(33) + 58
∠2 = 66 + 58
∠2 = 124
Therefore m∠2 = 124 degrees.
Hope this helps!
Find out what t means please
Answer:
19330
Step-by-step explanation:
t-1096=18234
+1096 +1096
t = 19330
Hope that helps! Have a wonderful day :)
If m<4 = 108 , what is the measure of <6
Answer:
also 108°
2, 4, 6 and 8 are the angles
an the other group of same angles is 1, 3, 5 and 5
What is the next number in the sequence?
3,12, 21, 30,?
A. 39
B. 33
C. 51
D. 42
Solve for A if Ab = ut
Solve for c if Kc = 9 a
Solve for D if Bd = Ca
Answer:
Below in bold.
Step-by-step explanation:
Ab = ut
Divide both sides by b
A = ut/b.
The other 2 are solved in a similar way:
Kc = 9a
c = 9a/K
Bd = Ca
d = Ca/B.
A department store offered a 10% discount on all humidifiers. They also stated that the first 50 customers would receive an additional 5% discount off the sale price. If you purchase a humidifier that sells for $169 and you are among the first 50 customers, what will your total discount be (a) in dollar amount and (b) in percent?
Answer:
The discount was A) $ 24.51 and B) 14.5% of the value.
Step-by-step explanation:
Since a department store offered a 10% discount on all humidifiers, and they also stated that the first 50 customers would receive an additional 5% discount off the sale price, if I purchase a humidifier that sells for $ 169 and I are among the first 50 customers, to determine what will my total discount be (a) in dollar amount and (b) in percent, the following calculation must be performed:
100 - 10 = 90
100 - 5 = 95
(169 x 0.9) x 0.95 = X
152.1 x 0.95 = X
144.49 = X
169 = 100
144.49 = X
144.49 x 100/169 = X
85.5 = X
Therefore, the discount was A) $ 24.51 and B) 14.5% of the value.
HELP ME MATCH THESE PLEASEEEEE I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILES PLEASE
Answer:
-4 + 8 = 4
5 - 8 = -3
8 + (-5) = 3
-7 + 5 = -2
-5 + 4 = -1
El valor de x en la ecuación 1+4x-3=6x+8
Answer:
1 + 4x - 3 = 6x + 8
4x - 6x = 8 - 1 + 3
-2x = 10|:(-2)
x = -5
solve equations using inverse operations HELP NOW!!
Algebra
The inverse of -9n is dividing by -9.
[tex]n = - 5[/tex]
Answer:
n=−5
Step-by-step explanation:
what we have −9n=45
we divide -9 on both sides:
−9n/-9 =45/-9
n=−5
Hope this is right!
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +
Answer:
Step-by-step explanation:
A line that is parallel to the line that goes through (-3, -3) and (-1, 5) will have the same slope as the one we will find when we plug those numbers into the slope formula. Let's do that first:
[tex]m=\frac{5-(-3)}{-1-(-3)}=\frac{5+3}{-1+3}=\frac{8}{2}=4[/tex] so the line we need to write has a slope of 4. Moving on...
If the x-intercept we need is 4, that means that we need to understand what an x-intercept is. The x-intercept exists where y = 0; so what we need to do is to write the equation of the line that has a slope of 4 and passes through the point (4, 0). Doing that:
y - 0 = 4(x - 4) and
y = 4x - 16
Answer:
Answer above is correct!
First Box: 4
Second Box: -16
Step-by-step explanation:
Hope this helps :D
Maria is planting a row of flowers in a bed 28 feet long. The instructions say to space the plants 1 foot apart, allowing room for 28 flowers. The flowers come in flats containing 6 plants per flat.
How many flats will she need?
How many plants will she have left over?
Answer:
She will need 5 flats.
She will have 2 plants left over.
Step-by-step explanation:
Since she needs 28 flowers and there are 6 flowers in each plant.
To find the number of flats she needs simply divide 28 by 6
=28/6
=4.67
=Rounding off we get 5
Now we know that she need 5 flats so 5 flats will contain 5*6= 30 flowers total.
Since she has space for 28 flowers only the remainder will be;
30-28=2
Therefore she will have 2 plants leftover.
pls help me solve this questionnnnn
9514 1404 393
Answer:
arc BC = 60°m∠ADC = 60°m∠AEB = 105°m∠ADP = 45°m∠P = 60°Step-by-step explanation:
The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...
CB : BA : AD : DC = 2 : 2 : 3 : 5
The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...
arc BC = arc BA = 60° . . . . 2 ratio units each
arc AD = 90° . . . . . . . . . . . . 3 ratio units
arc DC = 150° . . . . . . . . . . . .5 ratio units
The inscribed angles are half the measure of the intercepted arcs:
∠ADC = (1/2) arc AC = 1/2(120°) = 60°
∠ADP = 1/2 arc AD = 1/2(90°) = 45°
The angles at E are half the sum of the measures of the intercepted arcs.
∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°
Angle P is half the difference of the intercepted arcs.
∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°
__
In summary, ...
arc BC = 60°
m∠ADC = 60°
m∠AEB = 105°
m∠ADP = 45°
m∠P = 60°
Write an algebraic expression for the situation. 25 divided by a number b An algebraic expression for the situation is
Answer:
it is 25÷b for this question.