Answer:
25.5 inches.
Step-by-step explanation:
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a right triangle with legs of length 19 inches and 17 inches. The length of the hypotenuse is the square root of the sum of the squares of the other two sides. We can calculate this as follows:
hypotenuse = sqrt(19^2 + 17^2)
hypotenuse = sqrt(361 + 289)
hypotenuse = sqrt(650)
hypotenuse = 25.495097568 inches
Rounding to the nearest tenth, the length of the hypotenuse is 25.5 inches.
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Use partial quotients to solve 5,140 ÷ 9 = ___.
The correct answer is 571 quotient and 1 is remainder.We can solve easily by partial quotients.
What are partial quotients division?Partial quotients division is a deviation from the standard method. The divisor is multiplied with a number and the multiple obtained is deducted from the dividend. This multiple of the divisor is as close as possible to the dividend, that is less than or equal to the dividend.
Why do we use partial quotient division?Partial quotient division provides natural differentiation because we can have students solve at a level they are comfortable with and then we can challenge them to find a more efficient way. And this means using fewer steps and solve easily.
Now we solve
first 9 multiply with 500 so we get 4500. 5140-4500=640
then 9 multiply with 70 so we get 630. 640-630=10
then 9 multiply with 1 so we get 9. 10-9=1
Hence 500+70+1=571
And our remainder is 1.
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Use the distributive property to create an equivalent expression to 4x + 22.
4x + 22
2 (2x + 11)
2 (2x + 10)
4 (x + 5)
Answer:
2 ( 2x + 11)
Step-by-step explanation:
all you have to do is divide it all by 2
4x/2 = 2x
22/2 = 11
You should have gotten 2x + 11
Next, put parentheses around the expression
(2x + 11)
Do NOT forget to add the amount of what you have divided, and put it outside the parentheses
2(2x + 11)
Your answer: 2(2x + 11)
What is the volume of this figure?
Enter your answer in the box.
yd³
The volume of the composite figure is
4095 cubic ydHow to find the volume of the composite figureThe volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes
The simple shapes used here include
trapezoid andrectangleVolume of rectangle = length x width x depth
= 30 * 9 * 7
= 1890 cubic yd
Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth
= 1/2 (30 + 19) x 10 x 9
= 2205 cubic yd
Total volume
= 1890 cubic yd + 2205 cubic yd
= 4095 cubic yd
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What is the volume of a microwave oven that is 18 inches wide by 10 inches long with a depth of 11 1/2 inches?
Answer:
2070 inches
Step-by-step explanation:
V = W x L x D
= 18 x 10 x 11.5 = 2070 inches
A cube has a volume of 125 cubic inches. What us the length of each adge? Enter your answer in the box
5 inches
I just randomly guessed
Without multiplying, how can you tell which product will be greater, 3 x 4 or 6 x 2?
Answer:
we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
Step-by-step explanation:
We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
NEED MORE EXPLANATION?
The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.
write down the value of the 1 in 213,456
Step-by-step explanation:
The value of the digit 1 in the number 213,456 is 10,000.
What is the value of u?
Answer:
66-26 = 40
Step-by-step explanation:
u = 40 degrees
A metal piece has four ridges of equal size on the top. The width of the piece is 3cm. Find the volume. Show your work
Please help soon I give 30 brainly
In a case whereby the metal piece has four ridges of equal size on the top. The width of the piece is 3cm the volume of the work is \(450cm^3\)
How can the volume be found?Based on the provided fiqure, we will need to find te volume of the rectangle, then substract from th volume of the four triangular prism
The volume of the rectangle can be epresed as ;
2*3*10 = \(600cm^3\)
The volume of the four triangular prism can be expressed as
20/4 = 5cm 10-5= 5cm
\(1/2 * 5 * 5*3*4 = 150cm^3\)
\(600- 150 =450 cm^3\)
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If I get paid $12.50 an hour and I worked a total of 15 hours and 35 minutes how much did I make?
Answer: $194.79
Step-by-step explanation:
It is easiest to approach this question in two parts.
First part is simple - multiply the wage per hour times the number of whole number you have worked. ($12.50)(15) = $187.50
Next you need to find how much you make in 35 minutes at a wage rate of 12.50 an hour. You can set up a ratio to find this out -
($12.50) | (60 min) - (x dollars) | (35 min)
then cross multiply and divide - (12.5 * 35) / 60 = 7.291
This means you make $7.29 for 35 minutes of work.
$187.50 + $7.29 = $194.79 for 15 hours 35 minutes of work.
(this is based on a per minute/hour scale)
Select the correct answer.
Which expression is equivalent to the given expression?
2x² - 14x +24
A. (2x - 12)(x - 2)
B. 2(x - 3)(x - 4)
C. 2(x - 8)(x + 3)
D. 2(x - 5)(x - 2)
Answer: B. 2(x - 3)(x - 4)
Step-by-step explanation:
What 5/6 and 4 2/7 product.
Answer:
4 5/32
Step-by-step explanation:
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What is the absolute value of -8.35
Answer:
8.35
Step-by-step explanation:
To get absolute value, just make it the opposite
Answer: |-8.35| = 8.35
Step-by-step explanation: |-8.35| = 8.35
A person places $48800 in an investment account earning an annual rate of 3.1%,
compounded continuously. Using the formula V = Pert, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 13 years.
When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.
What is compounding?Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.
We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:
Using the formula V = \(Pe^rt\)
Principal (P) = $48,800.00
Annual Rate (R) = 3.1%
Compound (n) = Compounding Continuously
Time (t in years) = 13 years
Result:
V = $73,019.78
V = P + I where
P (principal) = $48,800.00
I (interest) = $24,219.78
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.1/100
r = 0.031 rate per year,
Solving the equation for V:
V = \(Pe^rt\)
V = \(48,800.00(2.71828)^(0.031)(13)\)
V = $73,019.78
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8. Given AABC~AEDC
What is the value of x?
C. 30
D. 20
A. 15
B. 12
A
E
60
X
C
D
10
40
B
Answer:
790
Step-by-step explanation:
7098uuilu4645
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with each of
the following amounts?
1 lb
3/4 lb
1/4 lb
Answer:
1 lb=2 batches 3/4 lb=1 1/2 batches 1/4 lb= 1/2 a batche
Step-by-step explanation:
1x2=2 b
3/4x2=1 1/2 b
1/4x2=1/2 b
b=batches
Find K such that the number 23K10 is
divisible by 2, 3, and 5
2021
The values of K that will make 23K10 to be divisible by 2, 3 and 5 are; 0, 3, 6 and 9
How to use divisibility rules?We want to find the number K in 23K10 that will make it divisible by 2, 3 and 5.
Now, for the number to be divisible by 2, 3 and 5, then it means it must be divisible by the LCM which is; 2 * 3 * 5 = 30
Now, the divisibility rule for 30 is that it must be divisible by 3 and 10.
If 23K10 is divisible by 3, sum of digits will be multiple of 3.
Thus;
2 + 3 + K + 1 + 0 = K + 6 must be equal to 0, 3, 6, 9, 12, 15, 18....
Thus, K could either be 0, 3, 6 or 9
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Which expression represents 81 decreased by an unknown number?
81÷a
81a
81−a
81 + a
Answer:
81 - a
Step-by-step explanation:
Decreased
means to subtract
81 –
by an unknown number
means a variable such as a or x
therefor
81 – a
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 1 < x<1?
The average rate of change of the function is: 0
What is average rate of change?You should know that average rate of change is also referred to as the slope of the function
At point where x = -8, the value of f(-8) = -10 and
At x = -1, the value of f(-1) = -10
We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
When x₁ = -8, f(x₁) = f(-8) = -10 also
when x₂ = -1, f(x₂) = f(-1) = -10
This implies that
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(-1) - f(-8) ] / [-1-(-8)]
= [-10 - (-10)] / [-1+8]
= [-10 + 10] / 7
= 0 / 7
= 0
In conclusion, 0 is the average rate of change which is also the slope of the function
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what is 15/27 in a decimal?
Answer:
0.55555
Step-by-step explanation:
the 5 keeps repeating
graph the linear function w(x) =3/5x+2
Answer:
Use Desmos.com. It is a site that can graph basically anything you want.
Step-by-step explanation:
A college class had 22 men and 14 women. Which other class has the same ratio of men to women?
Answer:
C-A class with 32 and 24 woman
Step-by-step explanation:
A college class had 22 men and 14 women. Which other class has the same ratio of men to women?
Original-22-14=8 (8)
A-40-18=22 (22)22 does not equal 8.
B-33-21=12 (12)12 does not equal 8.
C-32-24=8 (8)8 does equal 8.
D-11-6=5 (5)5 does not equal 8.
C has the same ratio because as you see men-woman=8 is the answer for both. Hence C is your answer.
A boat can carry 22 people 940 people went on the boat how many trips did the boat do
A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28
games?
Answer:14
Step-by-step explanation:
8 divided by 2 = 4 hits
So
28 divided by 2 = 14
Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
Please help I’ll mark brainliest
Answer:
B
Step-by-step explanation:
Which is the graph of the function f(x) = x³ + x² + 4?
hope this helps :)
............
Solve 2^x-2=8^4 but not solving for x
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the area of the circle in meters?
The measurement closest to the area of the circle in meters is 379.94 sq. meters.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.
Given that,
diameter = 22m
radius = 22/2 = 11m
The area of the circle is:
A = πr²
Substituting the value of π = 3.14 and r = 11 we have:
A = (3.14)(11)²
A = 379.94
Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.
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