9514 1404 393
Answer:
about 19.92 meters
Step-by-step explanation:
The circumference is ...
C = πd
72 m = πd . . . . . for outer diameter d
d = (72 m)/π
The inner diameter is 3 meters shorter, so is ...
inner diameter = (72/π) m - 3 m ≈ 19.92 m
Riley invested $8,500 in an account paying an interest rate of 3.8% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest year, for the value of the account to reach $18,040?
Answer:20
Step-by-step explanation:
Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12
Answer:
B. L and N
Step-by-step explanation:
Let's solve each system
✔️System L:
3x + y = 8 => Eqn. 1
x - 4y = -6 => Eqn. 2
x = -6 + 4y
Substitute x = (-6 + 4y) in eqn. 1
3(-6 + 4y) + y = 8
-18 + 12y + y = 8
-18 + 13y = 8
13y = 8 + 18
13y = 26
y = 26/13
y = 2
Substitute y = 2 into Eqn. 2
x - 4y = -6
x - 4(2) = -6
x - 8 = -6
x = -6 + 8
x = 2
Solution to system L = (2, 2)
✔️System M:
4x - 3y = 2 => Eqn. 1
5x - 4y = -30 => Eqn. 2
Multiply eqn 1 by 5, and eqn. 2 by 4
20x - 15y = 10
20x - 16y = -120
Subtract
y = 130
Substitute y = 130 into eqn. 1
4x - 3(130) = 2
4x - 390 = 2
4x = 2 + 390
4x = 392
x = 392/4 = 98
Solution to system M = (98, 130)
✔️System N:
4x - 3y = 2 =>Eqn. 1
2x - 8y = -12 => Eqn. 2
Multiply Eqn. 1 by 2, and eqn. 2 by 4
8x - 6y = 4
8x - 32y = -48
Subtract
26y = 52
y = 52/26
y = 2
Substitute y = 2 into eqn. 1
4x - 3(2) = 2
4x - 6 = 2
4x = 2 + 6
4x = 8
x = 8/4
x = 2
Solution to system N = (2, 2)
Which is the product of 5/18 and 6?
Need help with these math problems
Answer:
1. 34 sq.m.
2. 21 sq.m
3. A square pyramid has 1 square base and 4 triangular faces.
a. 36 square centimeters
b. 48 square centimeters
c. 84 square centimeters
4. a. 248 square centimeters
b. 1240 square centimeters
5. 140.8 square centimeters
A floor is 7 m long and 5 m wide. A square carpet of side 4 m is laid on the floor. Find
the area of the floor that is not carpeted?
Answer:
the area of the floor that is not carpeted 19 m squared
Step-by-step explanation:
7x5 =35 m squared = area of the floor
4x4 = 16 squared =(area of the carpeted floor)
35-16 = 19
a school has 2 computer labs each lab has 30 computer
Answer:
the answer is 60 because 2 times 30 is 60
Step-by-step explanation:
Is an example of money
Answer:
Gold coins are an example of commodity money. ... Dollar bills are an example of fiat money because their value as slips of printed paper is less than their value as money. Bank money consists of the book credit that banks extend to their depositors.
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.
Answer:
[tex]\huge\boxed{\sf Area = 12.8 cm\²}[/tex]
Step-by-step explanation:
Let,
The length of rectangle = x
The width of rectangle = y
The length of square = x - 4
The width of square = y + 5
Area of rectangle = xy
Area of square = xy + 40
Condition No. 1:
Area of Square = Length of square * Width of square
xy + 40 = (x - 4)(y - 5)
xy + 40 = xy - 5x - 4y + 20
- 5x - 4y = 40 - 20
- 5x - 4y = 20
5x + 4y = -20 ------------------(1)
Condition No. 2:
We know that:
Length of square = Width of square
x - 4 = y + 5
Add 4 to both sides
x = y + 5 + 4
x = y + 9 ---------------------------(2)
Solution:
Put Eq. (2) in (1)
5 (y + 9) + 4y = -20
5y + 45 + 4y = -20
9y + 45 = -20
9y = -20-45
y = -65 / 9
Now, Put the value of y in Eq. (2)
x = (-65 / 9) + 9
x = (-65 + 81) / 9
x = 16 / 9 cm
Now,
Area of rectangle = xy
Area = ( -65 / 9 ) * ( 16 / 9 )
Area = (-65*16) / (9*9)
Area = -1040/81
Area = 12.8 cm² (Neglecting -ve sign)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
360
Step-by-step explanation:
360m^2
Find x.
2x + 40
3x
4x
X + 50
x = [?]
y
Answer:
x=27
Step-by-step explanation:
Hey there!
the exterior angles of a quadrilateral add up to equal 360
so 360=2x+40+4x+3x+x+50
step 1 combine like terms
2x+4x+3x+x=10x
50+40=90
now we have
360=10x+90
step 2 subtract each side by 90
360-90=270
90-90 cancels out
now we have 270=10x
step 3 divide each side by 10
270/10=27
we're left with
x=27
Ms. Wolf goes shopping at Target and spends $38.75. Sales tax is 8%.
Enter the answer for question B: How much does she pay in total?
Answer:
you have to do the sales tax, times the price $3.10
then you add the $3.10 to the original price which is $41.85
Step-by-step explanation:
jessica has 900 feet of fencing and a very large
Answer:
wot
Step-by-step explanation:
this is not a full question I don't know what to tell ya bud
Help me I really need this rn
Answer:
the answer is 9 please I hope i get it right
factor the trinomial below. 6x^2-9x-6
A. 3(2x+6)(x-1)
B. 3(2x+1)(x-2)
C. 3(2x+2)(x-1)
D. 3(2x+2)(x-6)
all my points are yours for your answer
Answer:
B. 3(2x+1)(x-2)
Step-by-step explanation:
For this case we have the following trinomial:-
6x^2-9x-6
Rewriting we have:-
3(2x^2-3x-2)
Factoring we have:-
3(2x+1)(x-2)
So this is ur answer.. mark me as brainliest if answer is comfortable
1) The diameter of a circle is 7.5. Find the circumference to the nearest
tenth. Show all work *
Your answer
Answer:
Step-by-step explanation:circumference = pi x diameter.
Using 3.14 for pi
Circumference = 3.14 x 7.5 = 23.55
Rounded to the nearest tenth = 23.6
The circumference of the circle with a diameter of 7.5 is, C = 23.6
Used the concept of the circumference of the circle that states,
The circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. The formula used to calculate the circumference of the circle with radius 'r' is,
C = 2πr
Given that,
The diameter of a circle is 7.5.
Hence, The radius of a circle is,
7.5/2 = 3.75
So, The circumference of the circle with a radius of 3.75 is,
C = 2 × 3.14 × 3.75
C = 23.55
Rounded to the nearest tenth,
C = 23.6
To learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ6
8. Which of these would best measure the WEIGHT of a ship?
A. Ounces
B. Pounds
C. Tons
D. Kilograms
Answer: Tons
Step-by-step explanation: A ship is SUPER heavy.
omar paid $5 for his lunch and left $3 tip. what percent did omar tip his server
Answer:
60% of the payment of food
Step-by-step explanation:
he paid $5 for his food
and $3 for the tip
3/5 = 6/10 = 60%
60% of the original payment
What is surface area of this? Click image
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
I was wondering if anyone knew how to use a ti 84 to solve these. I just got one and it’s all very confusing to me.
Luna mixes 3/4 of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cups of juice to mags. How much is left in Lunas glass?
Step-by-step explanation:
3/4+3/8
1.125-5/8
= 1/2 of juice
Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a
Solve the following system of equations with the substitution method
The number of minutes, m, of exercise, and the number of calories, c, burned during exercise. What is the independent variable?
Answer:
number of minutes
Step-by-step explanation:
Jerry and Olivia were running a relay race. The race was 25.78 kilometers total. If Jerry ran 15.18 kilometers how far did Olivia run?
Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.
Answer:
65 percent chance right
Step-by-step explanation:
so she opens it 13 out of 20 times, so divide 13 by 20 and you get it
PLEASE HELP ME!?!
(2 questions)
What is the slope between the points (2,5) and (6,13)
Let me = slope
m = (13 - 5)/(6 - 2)
m = 8/4
m = 2
The slope is 2.
If 1/4 of a pound costs $3,
how much is 1 pound?
Answer:
$12
Step-by-step explanation:
Answer: $12
Step-by-step explanation: 3x4=12
please hurry!!
write the equation that represents the line
Answer:
y = 4/5x+3.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/(x2-x1), we have points (-3,-6) and (2,-2) so
m=(-2-(-6))/(2-(-3))
m=4/5 or 0.8 so our line is now
y=0.8x+b, using point (2,-2) we can solve for b
-2=0.8(2)+b
-2=1.6+b
b=-3.6 so the line is
y=0.8x-3.6 which can also be expressed as
y=4x/5-18/5
what is the square root of 16
Answer:
hello
Ur answer is
4.000
Step-by-step explanation:
thanks
PLEASE HELP ASAP
trigonometry
Answer:
5). x = 11.9°
6). x = 27.2°
Step-by-step explanation:
5). By applying cosine rule in the given triangle,
cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(32)° = [tex]\frac{x}{14}[/tex]
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(54°) = [tex]\frac{22}{x}[/tex]
x = [tex]\frac{22}{\text{sin(54)}}[/tex]
x = 27.19°
x ≈ 27.2°