Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).
So height is h = 2 + (10 ÷ 2) = 2 + 5
⇒ h = 7 inches.
We know the formula for area of parallelogram is given as follows :-
Area of parallelogram = base x height
Area of parallelogram = 10 inches x 7 inches
Area of parallelogram = 70 squared inches.
Hence, the final answer is 70 squared inches.
Final answer:
To get the area of the parallelogram, first determine the height, which is 5 inches plus 2 inches, totaling 7 inches. Using the formula (base × height), the area is calculated as 10 inches times 7 inches, resulting in 70 square inches.
Explanation:
To find the area of the parallelogram, we need to identify its base and height. The base is already given as 10 inches. Next, we calculate the height, which the problem states as '2 inches more than half the base.' First, we find half of the base: 10 inches / 2 = 5 inches. Then, add 2 inches to get the height: 5 inches + 2 inches = 7 inches. Now we have the height of the parallelogram.
Using the formula for the area of a parallelogram (base × height), we can now calculate the area.
Area = 10 inches × 7 inches = 70 square inches.
Thus, the area of the parallelogram is 70 square inches.
Number 5 and a. b. 6. a. b. is difficult who can help me?
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS
1 cubic foot of sand weighs 100 pounds. A square sandbox with 5-foot side has half of a foot of sand in it. How many pounds of sand is the sandbox holding?
Find the surface area plz
Choose the equation of the horizontal line that passes through the point (−5, 9).
y = −5
y = 9
x = −5
x = 9
Answer:
y = 9
Step-by-step explanation:
A horizontal line will stay at the same height across the entire domain. This means that while its x-coordinates change, its y-coordinate does not.
Since it passes through the point (-5, 9), this means the y-coordinate is 9. It will be y=9 throughout the entire graph; this means the equation is y=9.
The equation of the horizontal line that passes through the point (−5, 9) is y=9. The correct option is B.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
For a horizontal line, the value of the slope of the line is 0. Therefore, the value of m is 0. Given the point (-5,9) through which the equation passes, therefore, the value of the constant in the equation of the line can be found by substituting values in the equation.
Therefore, the equation can be written as,
y = mx + c
9 = 0(-5) + c
c = 9
Now, substitute the value of slope and constant in the equation of the line.
y = mx + c
y = 0(x)+ 9
y = 9
Hence, the equation of the horizontal line that passes through the point (−5, 9) is y=9.
Learn more about Equation of Line here:
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Name the like terms in the expression 5a + 8 – 3a + 11.
Please anyone help me simplify the answer
Jemma wants to teach her son to say thank you, jemma praises him and gives him a hug. Which reinforcement schedule is this?
This is a clear example of positive reinforcement. Positive reinforcement involves the addition of a positive stimulus that act as a reinforcement to a desired behavior in order to make the behavior more likely happen again in the future. When Jemma praises and hugs his baby, she is using positive reinforcement, so her baby associates the behavior of saying “thank you” with a reward making him more inclined to say thank you again in the future.
We can conclude that Jemma's reinforcement schedule is positive reinforcement.
Derrick lives 3 miles from the park. He rode his bicycle to the park at an average speed of 9 miles per hour. How many minutes did it take Derrick to ride his bicycle to the park?
Ten children in a kindergarten class own a dog. Fourteen children in the class do not own a dog. Find the ratio of the number of children who own a dog to the number of children in the class. Express the ratio as a simplified fraction.
The ratio of the number of children who own a dog to the total number of children in the class is [tex]\frac{ 5 }{ 12}[/tex], after simplifying the fraction [tex]\frac{ 10 }{ 24}[/tex] by dividing both the numerator and denominator by 2.
The question asks to find the ratio of the number of children who own a dog to the total number of children in the class. Ten children own a dog and fourteen do not, making the total number of children in the class twenty-four. To find this ratio, we divide the number of children who own a dog by the total number of children:
Ratio = number of children who own a dog ÷ total number of children in the class
Ratio = [tex]\frac{ 10 }{ (10 + 14)}[/tex]
Ratio = [tex]\frac{ 10 }{ 24}[/tex]
The simplified form of this ratio is found by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
Simplified Ratio = [tex]\frac{ 5 }{ 12}[/tex]
Does 4.5, 6, 7.5 form a right triangle
Final answer:
The numbers 4.5, 6, and 7.5 can form the sides of a right triangle as their squared lengths satisfy the Pythagorean theorem where 4.5² + 6² equals 7.5².
Explanation:
To determine whether the numbers 4.5, 6, 7.5 can form the sides of a right triangle, we can apply the Pythagorean theorem.
This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
According to the given numbers, if we assume that 7.5 is the length of the hypotenuse, then:
4.5² + 6² should equal 7.5²
Calculating each term gives us:
4.5² = 20.256² = 367.5² = 56.25Adding the squares of the possible legs:
20.25 + 36 = 56.25, which is indeed the square of the hypotenuse. This confirms that 4.5, 6, and 7.5 can indeed form a right triangle.
graph the linear equation find three points that solve the equation then plot on the graph -3y=2x-7
How can you tell Without dividing that the first digit of the quotient 2874÷3 is in the hundreds place
which measurement is closest to the volume of the cone in cubic inches . the height is 7.5 & the radius is 5.62 . show work please ?
Final answer:
The volume of the cone with a height of 7.5 inches and a radius of 5.62 inches is calculated using the formula V = (1/3)πr²h and is approximately 589.05 cubic inches.
Explanation:
To find the volume of a cone with a height of 7.5 inches and a radius of 5.62 inches, you use the formula for the volume of a cone, which is V = (1/3)πr²h. Here, r represents the radius and h represents the height of the cone.
First, calculate the area of the base (A) which is π times the radius squared:
A = π × (5.62 in)²
This gives us the area of the base. Then, multiply by the height (7.5 inches) and divide by 3 to find the volume:
V = (1/3) × A × h = (1/3) × π × (5.62 in)² × 7.5 in
Now, plug in the value for π (approximately 3.14159) and calculate:
V ≈ (1/3) × 3.14159 × (5.62²) × 7.5
V ≈ 589.05 cubic inches (rounded to two decimal places).
Therefore, the volume of the cone is approximately 589.05 cubic inches.
The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Find the width and length.
Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.
Peter walked for 2/5 mile to Fred's house in then a half a mile to the park how can he write 2/5 and 1/2 as a pair of fractions with a common denominator. Plz show steps
resolva a seguinte equaçao -8x-13 = 3 por favor preciso da conta
Which is the best estimate for the length of a park bench?
Tell how you know when you need to use renaming when subtracting mixed numbers
1.At a video arcade , Jenny buys 25 tokens.She uses two tokens for each game She plays.
a ) Write an expression for the number of tokens Jenny left after playing g games.
b) Find the number of tokens Jenny has left after playing 1,4,6,10 and 12 games.
Answer:
The required expression is [tex]25-2g[/tex]
She left with 23 tokens after playing 1 game.
She left with 17 tokens after playing 4 game.
She left with 13 tokens after playing 6 game.
She left with 5 tokens after playing 10 game.
She left with 1 tokens after playing 12 game.
Step-by-step explanation:
Consider the provide information.
Part (A)
At a video arcade, Jenny buys 25 tokens. She uses two tokens for each game She plays.
Let the number of games she plays represented by g.
For each game she need to use 2 tokens.
Thus for g games she will use 2g tokens.
Thus, the required expression is: [tex]25-2g[/tex]
Part (B) Find the number of tokens Jenny has left after playing 1,4,6,10 and 12 games.
The number of tokens Jenny has left after playing 1, is:
[tex]25-2(1)[/tex]
[tex]25-2[/tex]
[tex]23[/tex]
Hence, she left with 23 tokens after playing 1 game.
The number of tokens Jenny has left after playing 4, is:
[tex]25-2(4)[/tex]
[tex]25-8[/tex]
[tex]17[/tex]
Hence, she left with 17 tokens after playing 4 game.
The number of tokens Jenny has left after playing 6, is:
[tex]25-2(6)[/tex]
[tex]25-12[/tex]
[tex]13[/tex]
Hence, she left with 13 tokens after playing 6 game.
The number of tokens Jenny has left after playing 10, is:
[tex]25-2(10)[/tex]
[tex]25-20[/tex]
[tex]5[/tex]
Hence, she left with 5 tokens after playing 10 game.
The number of tokens Jenny has left after playing 12, is:
[tex]25-2(12)[/tex]
[tex]25-24[/tex]
[tex]1[/tex]
Hence, she left with 1 tokens after playing 12 game.
julis needs 2 pounds of beef to make 20 servings of his famouse chili if 5 more people decide to attent the party how many pounds of beef will julius need to make enough chili
Madison is building a toy box that measures 2‘ft by 5‘ft by 3.5 ft. What is the volume of the toy box?
A=1/2 (b+B)h. Find the area of a trapezoid whose height is 6m, small base is 12 m, and large base us 18 m
There are (53)2 ⋅ 50 hens in a bird enclosure. What is the total number of hens in the enclosure?
a) 0
b) 55
c) 56
d) 530
Answer:
c) [tex]5^{6}[/tex]
Step-by-step explanation:
We have been given that there are [tex](5^3)^2\cdot 5^0[/tex] hens in a bird enclosure. We are asked to find the total number of hens in the enclosure.
Using exponent property [tex]a^0=1[/tex], we will get:
[tex](5^3)^2\cdot 1[/tex]
[tex](5^3)^2[/tex]
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we will get:
[tex]5^{3\cdot 2}[/tex]
[tex]5^{6}[/tex]
Therefore, there are total number of hens in the enclosure would be [tex]5^{6}[/tex].
Which equation does the graph represent?
A) y = 2x
B) y = 1/2x
C) y = 1/2 + x
D) y = 2 + x
How do you do 11 I really need help
The yearbook staff enlarges a picture with a length of 5 inches and a width of 7
inches by a scale factor of 3. The staff decides the enlarged picture is too large and reduces it by a scale factor of 0.5. Will the final image of the picture fit in an area of 80 square inches?
No, the area of the picture is 315 square inches.
Yes, the area of the picture is 35 square inches.
No, the area of the picture is 157.5 square inches.
Yes, the area of the picture is 78.75 square inches.
present dimensions = 5*7
dimensions after scaling with factor 3 = 15*21
dimensions after reducing by scale factor 0.5 = 7.5*10.5
area of rectangle = length * breadth
so area of yearbook = 7.5*10.5 = 78.75
because, 78.75<80
so, the yearbook will fit in area of 80 inches^2
What does this mean I don’t quite get it.
This system of equations represents Reese’s pocket change. Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket. n + d = 11 5n + 10d = 70 How many dimes are in Reese’s pocket?
Answer: 3 dimes
Step-by-step explanation:
Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket.
Given system : [tex]n+d=11........(1)\\5n+10d=70............................(2)[/tex]
Divide equation (2) by 3 on both sides, we get
[tex]n+2d=14................................(3)[/tex]
Subtract equation (1) from (3), we get
[tex]d=3[/tex]
Hence, there are 3 dimes in Reese's pocket.
Answer:
3 dimes are in Reese's pocket.
Step-by-step explanation:
Here, n represent the number of nickels and d represent the number of dimes.
Given the system of equations:
[tex]n+d = 11[/tex] .....[1]
[tex]5n+10d = 70[/tex] .....[2]
Multiply both sides by 5 in [1] we have;
[tex]5n+5d=55[/tex] .....[3]
Subtract equation [3] from [2] we have;
[tex]5d = 15[/tex]
Divide both sides by 5 we have;
d = 3
Therefore, 3 dimes are in Reese's pocket.
Please help show work