Answer: [tex]77\ \text{sq. units}[/tex]
Step-by-step explanation:
Given
The radius of the semi-circle is [tex]r=7[/tex]
We know, area of the circle is [tex]\pi r^2[/tex]
So, the area of the semi-circle is half of it i.e. [tex]\frac{1}{2}\pi r^2[/tex]
Put the value
[tex]\Rightarrow \dfrac{1}{2}\times\pi \times 7^2=76.97\\\Rightarrow \approx 77\ \text{sq. units}[/tex]
The area of the semi-circle is [tex]77\ \text{sq. units}[/tex]
The population of Indiana showed an annual growth rate of 0.6% between 1998
and 1999. The population in 1999 was approximately 273,000,000. Based on this
model, find the population in 2007.
The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.
To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
For more similar questions on annual growth rate
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A: y = 1.5x
B: x = 1.5 + y
C: x = 1.75y
D: y = 1.75x
NO LINKS TY
Use the Distributive Property to expand 4(8x - 2y)-3=
Answer:
32x-8y-3
Step-by-step explanation:
4(8x-2y)-3
4 x 8x = 32x
4 x 2y = -8y
There are 32 students in a class.15 students play football only; 10 students play cricket only : 3 students do not play any games. How many students play both games?
Answer:
4 students
Step-by-step explanation:
32 - 3 = 29
10 + 15 = 25
29 - 25 = 4
There are 75 energy bars, 35 energy drinks, and 45 bottles of water. Each scout get the same amount of supplies with nine left over, what is the largest possible # of scouts in the troops (LCM)?
Answer:
See explanation
Step-by-step explanation:
A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same amount of supplies with NONE left over, what is the largest possible # of scouts in the troop
Energy bars = 75
Energy drinks = 35
Bottles of water = 45
75 = 1, 3, 5, 15, 25 and 75
45 = 1, 3, 5, 9, 15, and 45
35 = 1, 5, 7 and 35
The highest common factor of 75, 35 and 45 is 5
Therefore, each scout get
Energy bars = 75/5
= 15 each per scout
Energy drink = 35/5
= 5 each per scout
Bottle water = 45/5
= 9 each per scout
PLEASE NEED HELP ASAP WILL MARK BRAINLIEST
9. What is the equation of the line parallel to 3x + 2y = 8 and passes through the point (4, -3)
Answer:
C
Step-by-step explanation:
The equation of the line in the slope-intercept form is: [tex]y = 4 - \frac{3x}{2}[/tex].
The slope of the parallel line is the same: [tex]m = - \frac{3}{2}[/tex].
So, the equation of the parallel line is: [tex]m = - \frac{3x}{2} + a[/tex].
To find a, we use the fact that the line should pass through the given point: [tex]-3 = (-\frac{3}{2})*(4)+a[/tex].
Thus, [tex]a=3[/tex].
Therefore, the equation of the line is: [tex]y = 3 -\frac{3x}{2}[/tex].
LENGHT OF ORBIT AND DISTANCE FROM SUN
orbit =365.256days
distance=149.60km
The area of a circle is 81 ft 2 . What is the π circumference? Leave in terms of Pi.
Answer:
10.2π
Step-by-step explanation:
Given data
Area of circle= 81 ft^2
Also, the expression for the area of a circle is
A=πr^2
substitute
81=3.142*r^2
r^2= 81/3.142
r^2= 25.77
square both sides
r= √25.77
r= 5.1
Also, the expression for the circumference is
C= 2πr
substitute
C= 2*π*5.1
C= 10.2π
Hence the circumference is 10.2π
x−60=180 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
x=240
Step-by-step explanation:
x-60=180
add 60 to both sides
x=240
Answer:
x = 240
Step-by-step explanation:
180 + 60 = x
180 + 60 = 240
What is the area of the trapezoid?
12 ft 2
14 ft 2
13 ft 2
10 ft 2
Answer:
10 ft 2
Step-by-step explanation:
A=a+b2h=3+72·2=10
Solve the inequality for x.
x - 10 > 14
Simplify your answer as much as possible.
Answer:
＋10 on both sides so
X+10-(10)>14-(10)
x>4
Answer:
x > 24
Step-by-step explanation:
Alright so! Add 10 to both sides and you'lll get your answer!
Describe, in words, the process you would use to find w.
Answer:
w = 52°
Step-by-step explanation:
We know that the sum of the angle of a triangle is equal to 180 degrees
In this figure,
w+w+76 = 180
As w = w (Vertically opposite angles)
So,
2w = 180-76
2w = 104
w = 52
So, the value of w is equal to 52°.
Which statement is not used to prove that ΔFGH is similar to ΔFIJ?
A. Angle F is congruent to itself, due to the reflexive property.
B. Angles FJI and FHG are congruent, due to the corresponding angles postulate.
C. Points F, J, and H are collinear.
D. Segments JI and HG are parallel.
Answer:
C. Points F, J, and H are collinear.
Step-by-step explanation:
Given
See attachment for triangle
Required
Which statement is false
Options A, B and D are true while C is false.
Two points are said to collinear if a straight line can pass through them.
From the attached triangle, we can see that a straight line cannot pass through F, J and H.
Hence, they are not collinear.
Since the statement is false, then it cannot be used as part of the proof.
Help pleas brainliest is insured if correct
Answer:
9 units
Step-by-step explanation:
because if the y-axis is 5 and the x-axis is 9, the line is 9 units.
write the equations in slope y-intercept form
Answer:
y =MX + c is the formula of slope intercept form
Barry is saving up to put new tires on truck the tires will cost 860 he has 180 plans to save 68dollars a week how many weeks will it take to save his money
Answer:
167.36 weeks
Step-by-step explanation:
Given: Currently has $180, the cost is $860, and he plans to save $68 a week
To find: How many weeks will it take to save his money
Solution: If Barry currently has $180 and needs $860 for his tires also saves $68 a week, divide the amount he wants to save by the amount he saves a week, to find how many weeks will it take to save his money
860 ÷ 68 = 12.64
Subtract 180 because he already has $180 saved currently
180 - 12.64 = 167.36
Hence, it will take approximately 167 weeks to save his money up to $860
Help!!! Will mark Brainliest!
Answer:
(x-5)² + y² = 4
Step-by-step explanation:
formula of circle: (x-h)² + (y-k)² = r² where (h,k) is coordinate of center and r is radius
center: (5 , 0) r = 2
Equation: (x-5)² + y² = 4
Please help (;´༎ຶٹ༎ຶ`)
25% of 1375???????????????????????
Step-by-step explanation:
hope it is helpful to you
Answer: 343.75
Step-by-step explanation:
There are multiple ways to do this
1) Use decimals
25% is equal to 0.25
To find 25% of 1375, multiply 0.25x1375.
0.25x1375
=343.75
Or you can use fractions!
25%=0.25
0.25=1/4
Divide 1375 by 4
=343.75
25% of 1375 is equal to 343.75
Line a is parallel to line b if the measure of <7 is 114, what is the measure of <4
Answer: 66
Step-by-step explanation:
just do this, 180-114= 66 it's not even that hard.
hope this helps.
Need help with thisssss
Answer:
4^8
Step-by-step explanation:
Marianne can say hello in more than 7
languages. Which number line could
represent this situation?
Answer:
Number line A.
Step-by-step explanation:
The first number line A, represents x > 7, which the unshaded circle starting from 7 and moving to the right.
Number line B represents x < 7 with the direction being to the left (opposite of A).
Number line C is synonymous with A, however the starting point is shaded which represents x ≥ 7
Number line D also follows up from B with D representing x ≤ 7
I NEED HELP!!!Please
Answer:
15.9
Step-by-step explanation:
O/A
Tan47=17/x
x=17/tan 47
Joanie's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Joanie's curtain company wants to make 56 curtains, how many feet of fabric will she need?
1 inch =1/12 foot
Answer: 224 feet
Step-by-step explanation:
Each curtain is 48 inches long, and she wants to make 56 curtains.
However, the fabric store sells by the foot.
There are two ways to do this:
1) You can convert beforehand.
48 inches= 4 feet because 1 inch=1/2 foot.
Multiply 48 by 1/12 to find how many feet are in 48 inches.
= 48/12
=4
So 48 inches= 4 feet
Now, each curtain is 4 feet. There are 56 curtains to be made.
Now multiply by 4 to find how many feet are in 56 curtains.
56x4=224 feet.
Answer= 224 ft
Or: You can convert afterwards
48x56= how many inches in 56 curtains
= 2,688 inches
Then, convert to feet!
1 inch= 1/12 foot
2688 multiplied by 1/12:
=2688/12
=224 feet
Answer= 224 feet
Either way, you both get 224 feet.
A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate how many miles can
the car travel using 1 gallon of gas?
Answer:
16 miles
Step-by-step explanation:
1/64g = 1/4m
*64 *64
1g= 16 miles
please help.
a = 5 ft, b = 12 ft
&
b = 5 in, c = 15 in.
Pythagorean theorem
a^2+b^2=c^2
a=c^2-b^2
Step-by-step explanation:
c=a^2+b^2
5^2+12^2=13
a=c^2-b^2
15^2-5^2= 14.1
Helppppp plz :))))))))))
Answer:
third side = 10
I hope it's helps you
If a cylindrical vessel is 15 cm long and its surface area is 650 cm?, set up an
equation to find its radius.
Answer:
2π r(15 + r ) = 650
Step-by-step explanation:
The formula for TSA of cylinder is 2πr (r +h)
so
The correct equation is
2π r(15 + r ) = 650
hope it helps :)
17. What is the measure of 2ABC?
(3x+33)
B
47+ B)
O 25°
O 75°
O 108°
O 150°
O 100°
the answer is 100 degrees I got tht answer right
20mm 10mm 10mm surface area