Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
627 x 26
how do you solve this problem using standard algorithm
627 x 26 equals 16,302 when solved using the standard algorithm.
The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:
627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.
Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.
1254 -- a 6 x 7 partial product
1254 -- a half 6 x 2 product
Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.
1254 x 627
For more questions on standard algorithm
https://brainly.com/question/31093963
#SPJ8
A house on the market was valued at 432,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?
Answer:
$393,120
Step-by-step explanation:
To find the decrease in the house's value in dollars, we need to calculate 9% of the initial value:
Decrease in value = (Initial value) * (Percentage decrease) = $432,000 * 9%
Converting the percentage to a decimal:
Decrease in value = $432,000 * 0.09 = $38,880
The house's value decreased by $38,880.
Now, to find the current value of the house, we need to subtract the decrease in value from the initial value:
Current value = Initial value - Decrease in value = $432,000 - $38,880 = $393,120
The current value of the house is $393,120.
Hope this helps!
Need help with top problem. Maybe bottom too
1) The area of a circle circumscribed about a square is 307.7 cm².
2.a.) The angle ACB is 39 degrees.°.
2b.) The value of x is 5.42.
How to determine the area of a circle?We shall find the radius to determine the area of a circle.
First, find the side length of the square:
Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.
Next, find the diagonal of the square, using the Pythagorean theorem:
Diagonal = the diameter of the circumscribed circle.
Diagonal² = side length² + side length²
= 14 cm² + 14 cm²
= 196 cm² + 196 cm²
= 392 cm²
Take the square root of both sides:
Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)
Then, the radius of the circle which is half the diagonal:
Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)
Finally, compute the area of the circle using the formula:
Area = π * Radius²
Area = 3.14 * (9.90 cm)²
Area ≈ 307.7 cm² (rounded to two decimal places)
Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².
2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.
Given that arc AB has a measure of 78°, we can find angle ACB as follows:
Angle ACB = 1/2 * arc AB
= 1/2 * 78°
= 39°
Therefore, the angle ACB is 39 degrees.
2b.) To solve for the value of x, we use the information that the angle ADB = (3x - 12)⁴.
Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:
(3x - 12)⁴ = 78
Solve the equation for x, by taking the fourth root of both sides:
∛∛((3x - 12)⁴) = ∛∛78
Simplify,
3x - 12 = ∛(78)
Isolate x by adding 12 to both sides:
3x - 12 + 12 = ∛(78) + 12
3x = ∛(78) + 12
Finally, divide both sides by 3:
x = (∛(78) + 12) / 3
x = (4.27 +12) / 3
x = 5.42
So, x is 5.42
Therefore,
1) The area of the circle is 154 cm².
2a.) Angle ACB is equal to 102°.
2b.) The value of x is 5.42
Learn more about the area of a circle at brainly.com/question/12374325
#SPJ1
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for [tex]S_{n}[/tex] , that is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a₁ + [tex]a_{n}[/tex] )
with a₁ = 5 and [tex]a_{n}[/tex] = a₂₇ = 83 , then
S₂₇ = [tex]\frac{27}{2}[/tex] (5 + 83) = 13.5 × 88 = 1188
the sum of two numbers is 59. the didference between the two numbers is 11 which is the smaller of the two numbers
The larger number is 35.Let's assume the two numbers are represented by the variables "x" and "y," where "x" is the smaller number.
Equation 1: x + y = 59 (The sum of the two numbers is 59)
Equation 2: x - y = 11 (The difference between the two numbers is 11, with the smaller number being y)
According to the given information, the sum of the two numbers is 59, which can be expressed as:
x + y = 59
The difference between the two numbers is 11, with "x" being the smaller number. This can be expressed as:
y - x = 11
We can now solve these two equations simultaneously to find the values of "x" and "y."
Rearranging the first equation to solve for "y" gives us:
y = 59 - x
Substituting this value of "y" into the second equation:
(59 - x) - x = 11
Simplifying the equation:
59 - 2x = 11
Subtracting 59 from both sides:
-2x = 11 - 59
-2x = -48
Dividing both sides by -2:
x = -48 / -2
x = 24
Therefore, the smaller number is 24. To find the larger number, we substitute the value of "x" into the first equation:
24 + y = 59
y = 59 - 24
y = 35.
For more such questions on Variables:
https://brainly.com/question/2804470
#SPJ8