Final answer:
The surface area of a pyramid with a base side of 2.5 inches and a slant height of 3 inches is calculated by finding the area of the base and the four triangular faces separately and then adding them together, resulting in a total surface area of 21.25 square inches.
Explanation:
To find the surface area of a pyramid with a square base of 2.5 inches and a slant height of 3 inches, we need to calculate the area of the base and the area of the four triangular faces.
For the base, which is a square:
Area of base = side × side = 2.5 inches × 2.5 inches = 6.25 square inches
For each triangular face:
Area of one triangle = (base × slant height) / 2 = (2.5 inches × 3 inches) / 2 = 3.75 square inches
Since there are four such triangles, we multiply the area of one triangle by 4:
Total area of four triangles = 3.75 square inches × 4 = 15 square inches
Finally, add the area of the base and the total area of the triangular sides to get the total surface area:
Total surface area = area of base + total area of triangles = 6.25 square inches + 15 square inches = 21.25 square inches
The surface area of the pyramid is therefore 21.25 square inches.
What is the time the minutes are 10 more than 20 the hour is the same as4+4+4
Which of these is a symptom of nicotine?
A) Slowed heartbeat
B) Decreased blood pressure
C) Increase oxygen supply to the brain
D) Increase dizziness
A known symptom of nicotine is that it leads to a person having B. Decreased blood pressure
Nicotine is available in cigarettes and is responsible for the addiction that people feel to cigarettes. It has various health effects such as:
Causing loss of appetite Increasing one's risk of brain damage and heart attacks.As a result of it causing a loss of appetite, the person will lose weight and will be unable to produce much blood which would lead to reduced blood pressure.
In conclusion, nicotine can lead to decreased blood pressure.
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Blake bought a 16-ounce soda. He uses a scale and makes four measurements of the can's contents. Which measurement is the most accurate, assuming that the can contains exactly 16 ounces? A)16.02 ounces B)16.022 ounces C)16.0222 ounces D)16.1 ounces
What is the unit rate of x=y/7
Hye Sun has a modern coffee table whose top is a triangle with the following side legngths: 8 feet , 3 feet, and 5 feet. Is Hye Sun's coffee table top a tight triangle?
John walks 1 mile west. Then he turns north and walks another 2 miles before he stops to rest. How far is John from his starting point when he stops to rest? Round your answer to the nearest tenth.
math class has 6 girls and 2 boys in the seventh grade and 3 girls and five boys in the right grade. the teacher randomly selects a 7th and a 8th grader. What is the probability that the student she selects are both girls
To find the probability of selecting two girls, multiply the probability of selecting a girl from the 7th grade class by the probability of selecting a girl from the 8th grade class.
Explanation:To find the probability that the teacher selects two girls, we need to determine the probability of selecting a girl from the 7th grade class and the probability of selecting a girl from the 8th grade class, and then multiply those probabilities together.
Probability of selecting a girl from the 7th grade class = Number of girls in 7th grade class / Total number of students in 7th grade class = 6 / (6+2) = 6/8 = 3/4 = 0.75
Probability of selecting a girl from the 8th grade class = Number of girls in 8th grade class / Total number of students in 8th grade class = 3 / (3+5) = 3/8 = 0.375
Probability of selecting two girls = Probability of selecting a girl from 7th grade class * Probability of selecting a girl from 8th grade class = 0.75 * 0.375 = 0.28125
Final answer:
The probability of selecting two girls, one from each grade, is 9/32.
Explanation:
The probability of selecting a girl from the seventh-grade class is 6/8, since there are 6 girls out of 8 total students. Similarly, the probability of selecting a girl from the eighth-grade class is 3/8. Since the two events are independent of each other, we can multiply the probabilities to find the probability of selecting a girl from both grades.
So, the probability of selecting a girl from the seventh grade AND a girl from the eighth grade is (6/8) * (3/8) = 18/64 = 9/32.
Therefore, the probability that the teacher selects two girls is 9/32.
Please show work, if not it’s ok. I️ just need the answer.
At the beginning of the week, Paloma opened a new box of 250 coffee creamers. Forty-four coffee creamers were used during the week. Which equation could be used to find x, the number of coffee creamers left at the end of the week?
A. x - 44 = 250
B. 44 - 250 = x
C. 44x = 250
D. x + 44 = 250
what fractional part of a pound is an ounce
What is the first quartile of the data displayed in this box-and-whisker plot?
49
41
37
35
Answer:
C
Step-by-step explanation:
Aaron wants to divide the trail mix equally into 6 bags to give to his friends.How much trail mix will be in each bag?
The stem-and-leaf plot lists the number of times different families visit the local zoo each year.
How many families visit the zoo at least 25 times, but fewer than 44 times each year?
Enter your answer in the box.
Answer:
4
Step-by-step explanation:
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Which relationship describes angles 1 and 2? Select each correct answer.
A. adjacent angles
B. Vertical angles
C. Linear pair
D. Complementary angles
D complementary angles
and
B vertical angles
hope this helps!
Jessie saves $6 each week.In how many weeks will she have saved at least $50
2. A researcher collected data about the favorite car color of a particular population. He asked 250 people about their favorite vehicle color and the survey revealed the following: 32% of people said blue, 24% of people said white, 20% of people said red, 18% of people said black, and 4% of people said silver.
(a) How many people said their favorite vehicle color was red? Explain.
(b) How many more people said their favorite vehicle color was blue compared to those who said white? Explain.
(c) How many people said their favorite vehicle color was either black or silver? Explain.
Answer:
Answer:
(a) 55 (b) 80 and 60 (c) 45 and 10
Step-by-step explanation:
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What is the base 10 representation of the number 1100110
Answer:
102
Step-by-step explanation:
Find the area of a regular pentagon whose apothem is 25.1 mm and perimeter is 182 mm.
What is the equation of a line that is parallel to x=7/5x+6 and that passes through the point (2,-6)
MATH:a basketball team needs 5 players. The team can choose from a group of 7 players. Explain how to find the number of combinations of players that can be on the team.
What’s the height of the brace
a worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. THe tiles are square with side lengths 1 1/3 feet. How many tiles are needed to cover the entire floor?
Answer:
102 tiles needed to cover the entire floor.
Step-by-step explanation:
Given : A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths [tex]1\frac{1}{3}[/tex] feet.
To find : How many tiles are needed to cover the entire floor?
Solution :
A rectangular room that is 12 feet by 15 feet.
The area of the room is [tex]A=L\times B[/tex]
[tex]A_r=15\times 12[/tex]
[tex]A_r=180\ ft^2[/tex]
The tiles are square with side lengths [tex]1\frac{1}{3}=\frac{4}{3}[/tex] feet.
The area of the tile is [tex]A_t=s^2[/tex]
[tex]A_t=(\frac{4}{3})^2[/tex]
[tex]A_t=\frac{16}{9}\ ft^2[/tex]
Number of tiles needed to cover the entire floor is
[tex]n=\frac{A_r}{A_t}[/tex]
[tex]n=\frac{180}{\frac{16}{9}}[/tex]
[tex]n=\frac{180\times 9}{16}[/tex]
[tex]n=101.25[/tex]
Therefore, Approximately 102 tiles needed to cover the entire floor.
a circle has a diameter of 12 inches. What is the circumference in terms of pi?
Answer:
12πinches
Step-by-step explanation:
C=dπ=12π
Which statement best describes the value of 8
The question relates to the process of rounding numbers, a fundamental concept in mathematics where 8 usually causes an increase in the value of the digit before it.
Explanation:Based on the information provided in the question, it appears to be related to the concept of rounding numbers in mathematics. Rounding is a mathematical procedure used to shorten a number to a certain number of significant digits or a certain decimal place. When you round the number 8, it can impact the number it is associated with, such as rounding numbers up in the case of 5 or greater, or keeping them the same if the digits are less than 5. For example, if a 1 is followed by an 8, rounding replaces the 1 with a 2. If an integer, such as 2, is followed by an 8 and we're dropping decimal places, the 2 may be dropped. In the case of aesthetics or grades, the number 8 might have a different interpretation, such as the value given on an 8-point scale.
what is 16 - 5y = 1 - 4y
The solution to the equation 16 - 5y = 1 - 4y is y = 15.
Here, we have,
To solve the equation 16 - 5y = 1 - 4y, you can follow these steps:
Step 1: Combine like terms on both sides of the equation.
16 - 5y = 1 - 4y
Step 2: Simplify by subtracting 1 from both sides.
16 - 5y - 1 = 1 - 4y - 1
15 - 5y = -4y
Step 3: Simplify further by subtracting -4y from both sides.
15 - 5y + 4y = -4y + 4y
15 - y = 0
Step 4: Isolate the variable term by subtracting 15 from both sides.
15 - y - 15 = 0 - 15
-y = -15
Step 5: Multiply both sides by -1 to solve for y.
-y * -1 = -15 * -1
y = 15
Therefore, the solution to the equation 16 - 5y = 1 - 4y is y = 15.
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What is the volume of a shoe box with length 13 inches, width 7 inches, and height 5 inches? V = lwh in3
A shoe box is in the shape of cuboid.
The formula to find volume of cuboid is given by:
Volume of a cuboid = (length × breadth × height) cubic units.
We are given:
length = 13 inches
width = 7 inches and
height = 5 inches.
Plugging these values in the formula of volume,
Volume of cuboid = L * W * H = 13 *7 *5 = 455 cubic inches.
Answer : The volume of shoe box is 455 cubic inches.
A number cube is rolled and a random chip is pulled from a bag of 6 different color chips. The number cube is labeled 1 to 6. There is one blue chip in the bag. What is the probability of the number cube landing on an even number and a blue chip being drawn? Enter your answer as a fraction in simplest form in the box.
Answer:
The probability of an even number being drawn is 1/3 because the cube is numbered 1-6. The even numbers 1-6 are 2,4, and 6.
The probability of it landing on a blue is 1/6. Since there are six different colored chips and one is blue that means there is a 1/6 chance that a blue to be drawn.
Together, the probability of a number cube landing on an even number AND a blue chip being drawn is 1/12.
Step-by-step explanation:
Have a great rest of your day
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-2a-4>-8 please help
The graph shows the number of hours driving and the distance from home: A scatter plot is shown with the title Road Trip. The x-axis is labeled hours driving, and the y-axis is labeled distance from home. Data points are located at 1 and 50, 2 and 125, 3 and 165, 4 and 250, 5 and 300. A line is drawn connecting the coordinate point 1 and 50 to 4 and 250. Which statement best describes the relationship between the number of hours driving and the distance from home? As the hours driving increases, the distance from home decreases. As the hours driving increases, the distance from home increases. As the hours driving decreases, the distance from home increases. No relationship can be determined.
Answer:
B
Step-by-step explanation:
The association is positive linear so that means everything is increasing as the line goes up.
Answer:
As the hours increases the number of distance decreases
Step-by-step explanation:
COMMON KNOWLEDGE?
What is one thousand less than 89,257