What is the formula for the surface area of a triangular pyramid
Answer:
4(base*height)/2
To the nearest hundredth, what is the length of line segment AB ? Drag your answer into the box. The length of line segment AB is approximately units
9.54
10.44
13.00
13.15
Answer:
B. 10.44 units.
Step-by-step explanation:
We are asked to find the length of line segment AB.
To find the length of line segment AB we will use distance formula.
[tex]\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Upon substituting the coordinates of point A and B in distance formula we will get,
[tex]\text{Distance between point A and point B}=\sqrt{(1--9)^2+(-1--4)^2}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{(1+9)^2+(-1+4)^2}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{(10)^2+(3)^2}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{100+9}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{109}[/tex]
[tex]\text{Distance between point A and point B}=10.4403065089105502\approx 10.44[/tex]
Therefore, the length of line segment AB is 10.44 units and option B is the correct choice.
Answer:
I'm a nooby so 10.44.
Step-by-step explanation:
Which phrase describes the variable expression m + 5?
cade road 1 3/5th miles on Saturday and 1 3/4th on Sunday. how far did he ride on the two days?
11. The polygons are similar, but not necessarily drawn to scale. Find the value of a and b.
it takes 2 goats and 3 cows 6 days to eat 2 acres of grass. it takes 6 goats and 5 cows 10 days to eat 8 acres of grass. how many days does it take 8 goats and 8 cows to eat 17 acres of grass/10929719/ff5df148?utm_source=registration
The 15 days it takes for 8 goats and 8 cows to eat 17 acres of grass if it takes 2 goats and 3 cows 6 days to eat 2 acres of grass. it takes 6 goats and 5 cows 10 days to eat 8 acres of grass.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
it takes 2 goats and 3 cows 6 days to eat 2 acres of grass. it takes 6 goats and 5 cows 10 days to eat 8 acres of grass.
Number of days to eat 2 acres for 2 goats and 3 cows = 2/6
Number of days to eat 8 acres for 6 goats and 5 cows = 8/10
Now adding the fraction number of 2/6 and 8/10
[tex]\rm = \frac{2}{6}+ \frac{8}{10}[/tex]
= 68/60
= 15/17
Now the number of days is 15 days for the 17 acres.
Thus, the 15 days it takes for 8 goats and 8 cows to eat 17 acres of grass if it takes 2 goats and 3 cows 6 days to eat 2 acres of grass. it takes 6 goats and 5 cows 10 days to eat 8 acres of grass.
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Is the line through points P(0, 5) and Q(–1, 8) parallel to the line through points R(3, 3) and S(5, –1)? Explain.
a. No, the lines have unequal slopes.
b. Yes, the lines are both vertical.
c. Yes, the lines have equal slopes.
d. No, one line has slope, while the other has no slope.
it takes Joanna 15 minutes to complete 4 puzzles. At that rate, how many puzzles can she complete in 1 hour 45 minutes
Two circles have the same radius. Complete the description for whether the combined area of the two circles is the same as the area of a circle with twice the radius. The combined area of two circles with the same radius is ___πr2. The area of a circle with twice the radius is ___πr2. The combined area of two circles is as the area of a circle with twice the radius.
Does the point (2 3 , 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Why?
Answer:
No, because it doesn't satisfy the equation of the circumference
Step-by-step explanation:
A circle is the locus of points on the plane that are equidistant from a fixed point called the center. For a circle whose center is the point
[tex]C=(a,b)[/tex]
and its radius is [tex]r[/tex], the ordinary equation of this circle is given by:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
Since the circle is centered at the origin:
[tex]C=(a,b)=(0,0)\\\\Hence\\\\(x-0)^2+(y-0)^2=r^2\\\\x^2+y^2=r^2[/tex]
Now, let's find [tex]r[/tex] using the data provided. Evaluating the point (0,-4) into the equation:
[tex](0)^2+(-4)^2=r^2\\\\16=r^2\\\\r=\pm 4[/tex]
Thus the equation for the circle given by the problem is:
[tex]x^2+y^2=16[/tex]
In order to corroborate if the the point (2 3, 2) lie on the circle, we need to evaluate it into the equation and check if it satisfy the equation:
Note: I don't know what you mean with 2 3, so I will assume 3 cases:
[tex]2\hspace{3} 3=23\\2\hspace{3} 3=2*3=6\\2\hspace{3} 3=\frac{2}{3}[/tex]
First case:
[tex](23)^2+(2)^2=16\\\\533\neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Second case:
[tex](6)^2+(2)^2=16\\\\40\neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Third case:
[tex](\frac{2}{3} )^2+(2)^2=16\\\\\frac{40}{9} \neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Final answer:
The point (3, 2) does not lie on the circle centered at the origin with a radius of 4 units because when its coordinates are plugged into the circle's equation x² + y² = 16, the result is not equal to the radius squared.
Explanation:
To determine if the point (3, 2) lies on the circle centered at the origin that contains the point (0, -4), we need to see if it satisfies the equation of the circle.
We know the radius of the circle is the distance from the center to the point (0, -4), which is 4 units since all points on a circle are equidistant from the center.
The general equation for a circle centered at the origin (0,0) is x² + y² = r², where r is the radius.
Our circle's equation is x² + y² = 16.
We plug in the coordinates of the point (3, 2) to see if it lies on the circle: 3² + 2² = 9 + 4 = 13, which is not equal to 16. Therefore, the point (3, 2) does not lie on the given circle.
Evaluate the expression. 12 + 3 • 8
To solve the expression 12 + 3 • 8, first perform the multiplication to get 24, then add this to 12 to get a final result of 36.
Explanation:To evaluate the expression 12 + 3 • 8, you must follow the order of operations, often remembered by the acronym PEMDAS which stands for Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, from left to right. As per PEMDAS, multiplication should be carried out before addition.
First, perform the multiplication: 3 times 8 is 24. Then, add the result to 12.
So, 12 + 24 equals 36. Therefore, the value of the expression 12 + 3 • 8 is 36.
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The percents of different drinks sold at a snack shop are shown in the circle graph. What percent of the drinks sold were colas?
PLEASE HELP!!!! How can you tell if a triangle can be drawn more than one way?
please explain in detail and be specific.
what is 6 ×2/3 in simplest form
A four-sided polygon has sides that measure (2x + 1), (4x – 10), (x + 1)and (12x + 25). What is the perimeter of the polygon, in terms of x?
Final answer:
The perimeter of the polygon, given the sides (2x + 1), (4x – 10), (x + 1), and (12x + 25), is calculated by summing these expressions to get 19x + 17.
Explanation:
To find the perimeter of a four-sided polygon, we add together the lengths of all the sides. Given the sides (2x + 1), (4x – 10), (x + 1), and (12x + 25), the perimeter P in terms of x is calculated by summing these expressions:
P = (2x + 1) + (4x – 10) + (x + 1) + (12x + 25)
Now, we combine like terms:
P = 2x + 4x + x + 12x + 1 – 10 + 1 + 25
P = (2x + 4x + x + 12x) + (1 – 10 + 1 + 25)
P = 19x + 17
Therefore, the perimeter of the polygon in terms of x is 19x + 17.
NEED answer fast, please hurry. If events A and B are independent, and the probability that event A occurs is 83%, what must be true?
The probability that event B occurs is 17%.
The probability that event B occurs is 83%.
The probability that event A occurs, given that event B occurs, is 83%.
The probability that event B occurs, given that event A occurs, is 83%.
Answer:
the answer is C.
Step-by-step explanation:
83%
The true statement about the given conditional Probability is; The probability that event A occurs, given that event B occurs, is 83%.
How to Solve Conditional Probability?
We are told that If events A and B are independent, and the probability that event A occurs is 83%.
Now, Conditional probability like p(A|B) is the probability of event A occurring, given that event B occurs. Thus, applying that to our question means we can denote that;
The probability that event A occurs, given that event B occurs, is 83%.
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The table below shows the average temperature, in degrees Celsius, in Jacob's city over a period of five months:
Month 1 2 3 4 5
Temperature 5 7.2 9.4 11.6 13.8
Did the temperature in Jacob's city increase linearly or exponentially?
Linearly, because the table shows a constant percentage increase in temperature each month
Exponentially, because the table shows a constant percentage increase in temperature each month
Linearly, because the table shows that temperature increased by the same amount each month
Exponentially, because the table shows that temperature increased by the same amount each month
Answer:
C. Linearly, because the table shows that temperature increased by the same amount each month
Step-by-step explanation:
A circle has an area of 75 square centimeters. Which answer is closest to the measure of its radius?
A) 2.75 centimeters
B) 4.9 centimeters
C) 9.8 centimeters
D) 23.9 centimeters
Answer:
4.9
Step-by-step explanation:
Find the equation of the sphere for which the line segment pq connecting p(4,2,1) and q(5,-1,3) is the diameter
how many liters of a 60% acid solution must be mixed with a 75% acid solution to obtain 20L of a 72% solution
There is a two-digit number whose units digit is six less than the tens digit. Four times the tens digit plus five times the units digit equal 51. Find the digits.
Answer:
The tens digit number is 9 and the ones digit number is 3.
Write an equation (any form) for the quadratic graphed below
Which fraction is between 0 and 1/2?
A. 2/3
B. 7/10
C. 3/5
D. 3/8
Use completing the square to solve for x in the equation (x - 12)(x + 4) = 9.
A. x = -1 or 15
B. x = 1 or 7
C. x (plus sign over minus sign) square root of 41.
D. x (plus sign over minus sign) square root of 73.
Please help! This is timed!
Answer:
It is D.x=4+√73
Step-by-step explanation:
Got it right on edg.2022 :))
Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours, and then she babysat again on Saturday. She earned a total of $72. How many hours did Leticia babysit on Saturday? Choose two answers: one for the equation that models this situation and one for the correct answer.
First, we have to look at the equation that models this situation. We learn that the price per hour of babysitting is $8. On Friday, Leticia babysat for 4 hours, and on Saturday, she babysat an unknown amount of time. In total, she earned $72. Therefore:
8 ( 4 + x ) = 72
( 4 + x ) = 72 / 8
4 + x = 9
x = 9 - 4
x = 5
Leticia babysat 5 hours on Saturday.
A cube with a volume of 75cm^3 is dilated by a scale factor of 5. What is the volume of the dilated cube?
Which system of equations below has infinitely many solutions?
y = –3x + 4 and y = –3x – 4
y = –3x + 4 and 3y = –9x + 12
y = –3x + 4 and y = -1/3x + 4
y = –3x + 4 and y = –6x + 8
Answer:
y = –3x + 4 and y = –3x – 4 no solution exists
y = –3x + 4 and 3y = –9x + 12 y=4-3x
y = –3x + 4 and y = -1/3x + 4 x=0, y=4
y = –3x + 4 and y = –6x + 8 x=4/3, y=0
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Step-by-step explanation:
wo groups of students were asked how many pets they had. The table below shows the numbers for each group: Group A 1 2 1 1 3 5 4 2 3 Group B 3 2 3 2 2 2 1 1 2 Based on the table, which of the following is true?
the interquartile range formula is the first quartile subtracted from the third quartile:
The question about how many pets two groups of students have cannot be answered without the correct data. Typically, such a question would involve computing descriptive statistics or organizing the data into a graph or table for easier comparison and interpretation.
Explanation:Based on the information given in the prompt, which seems to contain a mistake as it does not directly correlate to the question about the two groups of students and their number of pets, we can not effectively conclude which of the following is true regarding the data about Group A and Group B without the appropriate data or statements to compare. Therefore, we need the correct data to proceed with the analysis. Generally, in math problems like this, we would compute the mean, median, mode, or range of the data to compare the two sets, or we could use more advanced statistics if required.
In a correct scenario, you could group the data differently by organizing it into a frequency table or creating a graph to visualize the distribution. Depending on the data shape, you might group it by intervals or categories. Grouping data helps to understand and interpret the data more easily. For instance, it is often easier to see trends and patterns in a histogram or bar chart than in a raw list of numbers.
For which of the inequalities below is v = 4 a solution?
A v + 5 < 8
B v + 5 > 9
C v + 5 ≥ 9
D v + 5 ≤ 8
Which expression is equivalent to a(^8)^4? a a2 b a4 c a12 d a32
We have been given the expression [tex] (a^8)^4 [/tex].
To solve this problem we will use one of the rules of the exponents called the Power Rule.
The power rule states that:
[tex] (x^m)^n=x^{m\times n}=x^{mn} [/tex]
In our case, x=a and the powers involved are m=8 and n=4.
Therefore, applying the power rule to the case given in our question we get:
[tex] (a^8)^4=a^{8\times 4}=a^{32} [/tex].
Therefore, Option D which says [tex] \boldsymbol{a^{32}} [/tex] is the correct option.