area-i need help with both
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Instructions: Type the correct answer in each box.
Use numerals instead of words. If necessary, use / for the fraction bar(s).
Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button.
The sample size for this compound event is _______ .
Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be _______ .
Answer:
The sample size for this compound event is 25Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be 36.
Step-by-step explanation:
If 3A and 3B, then which of the following statements is not true?
Each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 feet if there are four blades on the WinMail what is the total area of the blades
Given is the shape of a triangle with base = 7 feet and height = 4 feet.
We know the formula for area of triangle is given as follows :-
[tex] Area\; of\; Triangle=\frac{1}{2} *(Base)*(Height) \\\\
Area = \frac{1}{2} (7)(4) \\\\
Area = \frac{28}{2} \\\\
Area = 14 \;squared \;feet [/tex]
So, the area of a blade is 14 squared feet.
There are four blades on wind mill. Then area of all four blades would be 4 times 14.
Hence, total area of all four blades = 4 x 14 = 56 squared feet.
The total area of the four windmill blades, each with a base of 7 feet and a height of 4 feet, is 56 square feet.
The question involves calculating the total area of windmill blades, each shaped as a triangle. To find the area of a single blade, we use the formula for the area of a triangle, which is (base x height) / 2. For a blade with a base of 7 feet and a height of 4 feet, the area of one blade is:
Area = (7 ft x 4 ft) / 2 = 28 ft² / 2 = 14 ft²
Since there are four blades on the windmill, the total area of the blades can be calculated by multiplying the area of one blade by the number of blades:
Total area = 14 ft2 x 4 = 56 ft²
The type of transformation of geometric figure in the coordinate plan can be described as a slide, a flip, or a turn. What are the other names used to identify these transformation?
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At the carnival, the Carousel spins at a rate of 3 rpm. How long will it take for the Carousel to spin 25.5 times?
A. 85 minutes
B. 76.5 minutes
C. 8.5 minutes
D. 7.65 minutes
Answer:
25.5÷3=8.5
answer is 8.5....
Answer: C 8.5
Step-by-step explanation:
We can use the formula:
time = (number of revolutions) / (rate of revolution)
Substituting the given values, we get:
time = 25.5 / 3
time = 8.5
Therefore, the Carousel will take 8.5 minutes to spin 25.5 times.
The answer is option C.
Describe the relationship between the area of a parallelogram and the area of a triangle that have the same base and height.
If we have a parallelogram and a triangle with the same base and height, the area of the parallelogram will be exactly twice the area of the triangle. This can be expressed as:
[tex]\[ A_{\text{parallelogram}} = 2 \times A_{\text{triangle}} \][/tex]
The area of a parallelogram is twice the area of a triangle that has the same base and height.
To understand the relationship between the area of a parallelogram and the area of a triangle with the same base and height, we can start by recalling the formulas for the area of each shape.
The area [tex]\( A \)[/tex] of a triangle with base[tex]\( b \)[/tex] and height [tex]\( h \)[/tex] is given by the formula:
[tex]\[ A_{\text{triangle}} = \frac{1}{2} \times b \times h \][/tex]
The area [tex]\( A \)[/tex] of a parallelogram with the same base [tex]\( b \)[/tex] and height [tex]\( h \)[/tex] is given by the formula:
[tex]\[ A_{\text{parallelogram}} = b \times h \][/tex]
From these formulas, we can see that the area of a parallelogram is the full rectangle formed by the base and height, while the area of a triangle is half of that rectangle (since a triangle is essentially half of a parallelogram with the same base and height).
which of the following choices describe the bases of a cylinder
Answer:
Discs, Congruent, Parallel
Step-by-step explanation:
On APEX
Find the range of 88, 16, 34, 48 and 27
what is 3x-2y=-3 on a graph
Answer:
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Step-by-step explanation:
Consider the statement below. More than 20 students participated in a drawing competition. Which number line best represents the statement?
Answer:
The number line that best represents this statement is:
Option: A
Step-by-step explanation:
We are given a statement that:
More than 20 students participated in a drawing competition.
This means that when this statement is represented on the number line the region that is covered is:
(20,∞)
Since the more than 20 students means that 20 is not included and all the numbers greater than 20 are included.
Also, on the number line the shaded region lie to the right of 20 and there is a open circle at 20 as 20 is not included in the domain.
Hence, option: A is the correct answer.
A car travels 444 km in 7 hours (with a constant speed).How far can it travel in 5 hours (with the same speed)?
The car can travel 317.15 km in 5 hours given its speed remains constant at 63.43 km/h which is calculated based on the 444 km it travels in 7 hours.
Explanation:To solve this problem, we need to calculate the rate of speed of the car first. The speed of the car is found by dividing the total distance by the time.
So, the speed will be 444 km / 7 hours = 63.43 km/h.
With this constant speed, we can determine how far the car could travel in 5 hours by multiplying the speed by the time:
Thus, the distance it can travel in 5 hours is 63.43 km/h * 5 h = 317.15 km.
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What is the relative maximum and minimum of the function? f(x) = 2x2 + 28x - 8
Answer:
Minimum: y=-106. Maximum: infinite
Step-by-step explanation:
The function described is a parabola, written in the form:
[tex]f(x)=ax^2 +bx+c[/tex]
with:
[tex]a=2\\b=28\\c=-8[/tex]
First of all, we notice that the parabola is upward, because the sign of the coefficient of the second-order term (a) is positive (in fact, a=2). Therefore, it has a minimum value of y. The x corresponding to the vertex of the parabola is given by:
[tex]x_v=-\frac{b}{2a}=-\frac{28}{2\cdot 2}=-7[/tex]
And substituting into f(x), we find the minimum value of y:
[tex]f(-7)=2(-7)^2+28(-7)-8=98-196-8=-106[/tex]
While the parabola has no maximum value, since it goes to infinite as x becomes larger.
Can anyone help me please solving this maths problems not sure if. Thanks
what is the scale factor if point A(2,22) transforms into A(2,11)? what type of transformation is this?
What is the factored form of 8x2 + 12x?
4(4x2 + 8x)
4x(2x + 3)
8x(x + 4)
8x(x2 + 4)
Answer:
The required factorized form of the given quadratic equation is :
4x·(2x + 3)
Step-by-step explanation:
The quadratic equation is given to be :
8x² + 12x
Now, we need to find the factored for of the given quadratic equation.
⇒ 8x² + 12x
Taking 4 common from both the terms
⇒ 4(2x² +3x)
Now, Taking x common from both the terms which are inside the bracket
⇒ 4x·(2x + 3)
⇒ Now, This equation cannot be factorized further
Hence, The required factorized form of the given quadratic equation is :
4x·(2x + 3)
The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n.
smallest value is-
largest value is-
Answer:
11 > n > 4
Step-by-step explanation:
Given any two sides of a triangle, we now that the sum of such sides MUST be greater than the measure of the remaining side. This is, given the three sides a, b and c, it must be that:
a + b > c
a + c > b
b + c > a
For our case:
7 + 4 > n (1) ---> 11>n
7 + n > 4 (2)
4 + n > 7 (3)
The 1 inequality says that the n side MUST be less than 11.
Now, pick the (3) inequality and subtract 4 in both sides:
4 + n -4 > 7 - 4
n > 3
So, the n side must be grater than 3.
Thus, the solution is:
11 > n > 3
As we are working with integers we now that the grater integer larger than 3 is 4, and the greater integer less than 11 is 10. So, the side must be equal or greater to 4 and equal or less than 10:
10 >= n >= 4
An isosceles trapezoid has base angles of 45 degrees and bases of length 9 and 15. The area of the trapezoid is
to make the perfect pizza, there should be 4 pieces of pepperoni per 3 slices of mushrooms. if you put 24 pieces of pepperoni on the pizza how many mushroom slices should you use?
Notes: l want answer true.........;)
a company sells snack bags that contain a mixture of almonds and walnuts. there are 15 almonds per bag and 9 walnuts per bag. if x represents the number of snack bags the company sells, which of the following equations can be used to find the total number of nuts needed to fill the snack bags?
Answer:
y = 21x
Step-by-step explanation:
12x for the almonds
9x for the walnuts
12x + 9x is:
21x total
So, the formula should be:
y = 21x
Final answer:
The equation is Total nuts = 24 nuts per bag * x bags.
Explanation:
To find the total number of nuts needed to fill the snack bags the company sells, we need to calculate the sum of almonds and walnuts in each bag and then multiply that by the number of snack bags sold (represented by x).
Each snack bag contains:
15 almonds9 walnutsThe total number of nuts per bag is:
15 almonds + 9 walnuts = 24 nuts per bag
Thus, if x represents the number of snack bags sold, the equation to find the total number of nuts required is:
Total nuts = 24 nuts per bag * x bags
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided or the upload option to submit all of your calculations and final answer.
y+2=1(x=2) you have to use the formula y-y1=m(x-x1) hope this helps :)
The equation of a line passing through points (-2, -2) and (2, 2) is y = x.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, a line that passes through the points (-2, -2) and (2, 2).
So, the slope of the line is (y₂ - y₁)/(x₂ - x₁).
= (2 + 2)/(2 + 2).
= 4/4.
= 1.
Equation of a line in point-slope form is y - y₁ = m(x - x₁).
y + 2 = 1.(x + 2).
y + 2 = x + 2.
y = x.
learn more about slopes and lines here :
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17 students on math team want to raise $483.62 to buy books. They already have raised $218.25.If each student raised the same amount , how much more money must each student raise?
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.
A flagpole flying the Ohio state flag is 9/10 the height of a 30 foot-tall
The ability to roll your tongue is inherited genetically from parents if either parent has the dominant trait T. Children of two parents without the trait will not be able to roll their tongues. Part A: Show how the combinations can be modeled by the square of the sum. Part B: Predict the percent of children that will both have dominant genes, one dominant gene, and both recessive genes
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Students planted 4(2x+3y) amount of trees on saturday and then 3(5x+4) amount of trees on Sunday. What is the total amount of trees that the students planted?
find the circumference of a circle with diameter 8 meters
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The final game is altered:
Bag One has 5 red balls and 9 blue balls.
Bag Two has 6 red balls and 7 blue balls.
Complete the tree diagram:
Answer:
A. 7/13 B. 9 C. 13 D. 7/13 E. 5/14 F. 6/13 G. Red
Step-by-step explanation:
First we take a ball from bag one, there are 14 balls, 5 red, 9 blue, then, there is 5/14 for red and 9/14 for blue.
Then we take a ball from the second bag and we have 13 balls: 7blue and 6 red, so the posibilities are 7/13 for blue and 6/13 for red.
As it doesn't says anything about mixing balls of both bags, it does not matter the result of the first bag for the probabilities in the second one.