Side B 7 cm
A 2.42
B 3.61
C 4
D 4.5
Answer:
$52.36
Step-by-step explanation:
We know
The price of a dress is reduced by 6.5% in a sale.
The original price of the dress was $56.
What is the sale price of the dress?
6.5% = 0.065
We take
56 - (56 · 0.065) = $52.36
So, the sale price of the dress is $52.36
Answer: 56
Step-by-step explanation:
Given the center, focus, and vertex of a hyperbola, the equation of the hyperbola can be determined using the standard formula for a hyperbola and calculations for the values of a and b. For the hyperbola with center (4, -1), focus (11, -1), and vertex (0, -1), the equation is (x - 4)²/16 - (y + 1)²/33 = 1.
The subject of the question is to write the equation of the hyperbola given the center, focus, and vertex. In general, the equation of a horizontal hyperbola is (x - h)²/a² - (y - k)²/b² = 1 where the (h, k) is the center, a is the distance from the center to a vertex, and b is the distance from the center to a co-vertex. In this case, the center is (4, -1), the focus is (11, -1), the and vertex is (0, -1).
To determine a, calculate the distance from the center to a vertex. With the center at (4, -1) and vertex at (0, -1), a = 4. To determine b, apply the hyperbola's relationship of c² = a² + b², where c is the distance from the center to a focus. Given that the distance to the focus (from (4, -1) to (11, -1)) is 7 (so, c = 7) and a = 4, solve for b to get b = sqrt(c² - a²) = sqrt(49-16)= sqrt(33). Therefore, the equation of the hyperbola is (x - 4)²/16 - (y + 1)²/33 = 1.
Learn more about Hyperbola here:
#SPJ11
t^3 - r + 20 divided by r
Answer:
The value of the expression is, 9
Step-by-step explanation:
Given: The expression
Substitute the value of r=4 and t=2 in above expression to find its value;
Cube: the cube of a number t is its third power, the result of the number multiplied by itself twice. i.e,
Now, solve further we have;
Further, divide the number 20 by 4 we get the result 5 ;
⇒ 8-4+5 = 4+5 =9
Therefore, the value of the expression is, 9.
2928 : 653 = ?
Answer:
4.484.
Step-by-step explanation:
1. Start by dividing the first digit of the dividend (2) by the divisor (6). Since 2 is smaller than 6, we move to the next digit, resulting in a quotient of 0.
2. Bring down the next digit of the dividend (9) and divide it by the divisor (6). 9 divided by 6 is 1 with a remainder of 3. Therefore, the quotient becomes 1.
3. Next, bring down the next digit of the dividend (2) and combine it with the remainder from the previous step (3) to get 32. Divide 32 by the divisor (6), resulting in a quotient of 5 with a remainder of 2.
4. Bring down the last digit of the dividend (8) and combine it with the remainder from the previous step (2) to get 28. Divide 28 by the divisor (6), resulting in a quotient of 4 with a remainder of 4.
5. Since there are no more digits to bring down, the division process is complete.
Therefore, the solution to the equation 2928 : 653 is approximately 4.484