Answer:
Step-by-step explanation:
if the median of 127 numbers is 35, which of the following must be true? i) at least 64 of the numbers are greater than or equal to 35 ii) at least 64 of the numbers are smaller than 35 iii) at most 64 numbers are greater than or equal to 35
Answer:
Option i) At least 64 of the numbers are greater than or equal to 35 must be true
Since the median is 35, we know that there are 63 numbers greater than 35 and 63 numbers smaller than 35. However, since there is an odd number of total numbers (127), the median itself must be included in one of these groups. Therefore, there are at least 64 numbers that are greater than or equal to 35.
please help me I've been stumped on this problem
The Results:
a) The measure of ∠BDC = 67°
b) The measure of arc DAC = 46°
How to measure angles?a) The measure of ∠BDC
Since DC ⊥ AB, ∠DCB is a right angle, which means it measures 90°. Also, given that m∠DCB = 23, we can use the fact that the angles in a triangle sum to 180° to find ∠DBC.
∠DBC + ∠DCB + ∠B = 180 (angles in a triangle sum to 180)
∠DBC + 90 + 23 = 180 (substituting values)
∠DBC = 180 - 90 - 23 = 67°.
Thus, the measure of ∠BDC = 67°
b) The measure of arc DAC:
Since AB = AC, it implies that ∠ABC = ∠ACB (angles opposite to equal sides of an isosceles triangle are equal). Therefore, ∠ACB is also 23°.
Now, since ∠ACB is an inscribed angle that intercepts the arc DAC, the measure of the arc DAC is twice the measure of ∠ACB.
Arc DAC = 2 × ∠ACB = 2 × 23 = 46°.
Therefore, the measure of arc DAC is 46°.
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Describe his mistake
Answer:
In (-3)^2, Henry multiplied -3 by 2. That is not correct. (-3)^2 = (-3)(-3) = 9. Additionally, a^3 • a^4 = a^7, and so
[tex] {( - 5ab)}^{3} \times {( - 3 {a}^{2} {b}^{2} )}^{2} [/tex]
[tex] {( - 5)}^{3} {a}^{3} {b}^{3} \times ( { - 3)}^{2} {a}^{4} {b}^{4} [/tex]
[tex]( - 125 \times 9) {a}^{7} {b}^{7} = 1125 {a}^{7} {b}^{7} [/tex]
A survey was dispersed throughout the county in order to gather information comparing the amount of money spent on groceries and the percentage of that money spent on fruits and vegetables.
Which of the following methods could be used to represent the data?
Dot plot
Box plot
Line plot
Histogram
Line graph
Scatter plot
Stem-and-Leaf plot
A scatter plot or a line graph could be used to represent the relationship between the two variables.
What is scatter plot?A scatter plot is a graph in which each data point is represented by a dot on the graph. In this case, the data points would represent the amount of money spent on groceries and the percentage of that money spent on fruits and vegetables. Each data point would be plotted based on its corresponding values for the two variables, with the horizontal axis representing the amount of money spent on groceries and the vertical axis representing the percentage of that money spent on fruits and vegetables. The scatter plot would allow us to see if there is any relationship between the two variables, such as whether people who spend more on groceries tend to spend a higher percentage of that money on fruits and vegetables.
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4.27 L = mL, 0.35 L = mL, 0.06 L, 9.05 L mL? im sorry its for my important exam coming up and if i dont pass my homework i wont be able to do the exam and my teacher said i would fail my grade if it happens
volumes from liters (L) to milliliters (mL), you can use the conversion factor that 1 L is equal to 1000 mL.
How to convert the volumes from liters (L) to milliliters (mL)?Knowing the relationship between the two units will make converting between litres and millilitres simple. Both litres and millilitres are measurements of a liquid's volume.
The basic measure of liquid capacity is the litre. The liquid volume can also be measured in millilitres, centilitres, and kilolitres. All of these units have different values from one another.
Similar to millilitres, litres also denote volume, however one litre is equivalent to one thousand millilitres (1 L = 1000 mL).
To convert the given volumes from liters (L) to milliliters (mL), you can use the conversion factor that 1 L is equal to 1000 mL. Here are the conversions:
4.27 L = 4.27 x 1000 mL = 4270 mL
0.35 L = 0.35 x 1000 mL = 350 mL
0.06 L = 0.06 x 1000 mL = 60 mL
9.05 L = 9.05 x 1000 mL = 9050 mL
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Can someone give me a trig function with the following criteria
The trig function that meets the given criteria is determined as f(x) = 4sin(π/4x) + 9.4.
What is the trig function for the given criteria?
We can use the formula for a sinusoidal function of the form:
f(x) = Asin(Bx - C) + D
where:
A is the amplitudeB determines the period as T = 2π/BC determines the horizontal shiftD determines the vertical shiftWe have A = 4 and K = 9.4, so we know that the midline of the function is at y = D = 9.4.
Since we don't have any information about the horizontal shift, we can assume that C = 0.
Then, the formula becomes:
f(x) = 4sin(Bx) + 9.4
Now, we need to find B so that the function has a period of 2π. Since the period is given by T = 2π/B, we have:
2π = TB = (13.4 - 5.4)B = 8B
Therefore, B = π/4. Finally, we can write the function as:
f(x) = 4sin(π/4x) + 9.4
This function has an amplitude of 4, a midline at y = 9.4, and a period of 2π.
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The rain gauge after a week showed that there were ten inches of rain. Every day the rain evaporated four inches but two more inches of rain was added. By what day was the rain gauge free of water?
A. day 11
B. day 10
C. day 8
D. day 7
Therefore, it takes four days for the rain gauge to be free of water. The answer is option D, day 7.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. An equation usually contains one or more variables, which are symbols that represent unknown or varying quantities. The values of the variables that satisfy the equation are called the solutions of the equation.
Here,
Let's start by finding out how much water is left in the gauge after one day of evaporation and addition. If the rain gauge had 10 inches of water at the start of the week, then after one day:
4 inches of water would have evaporated, leaving 10 - 4 = 6 inches of water.
2 more inches of rain would have fallen, bringing the total to 6 + 2 = 8 inches of water.
So after one day, the rain gauge has 8 inches of water.
Now we need to repeat this process until there is no water left in the gauge.
After the second day:
4 more inches of water would have evaporated, leaving 8 - 4 = 4 inches of water.
2 more inches of rain would have fallen, bringing the total to 4 + 2 = 6 inches of water.
After the third day:
4 more inches of water would have evaporated, leaving 6 - 4 = 2 inches of water.
2 more inches of rain would have fallen, bringing the total to 2 + 2 = 4 inches of water.
After the fourth day:
4 more inches of water would have evaporated, leaving 4 - 4 = 0 inches of water.
2 more inches of rain would have fallen, but it would not have filled the gauge since it was already empty.
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What is the term for the probability that a value falling outside the control limits is still due to normal variation
The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or the alpha error.
The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or alpha error.
It refers to the probability of rejecting a true null hypothesis (in this case, the process is in control) when it should not be rejected. In other words, it is the probability of concluding that there is a problem with the process when there is actually no problem, and the observed value is simply a result of random variation.
This means that the value appears to be abnormal, but it is actually just a result of the natural variation in the process. It is important to minimize the risk of Type I errors to ensure that only truly abnormal values are addressed and corrected.
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What is the procedure for quickly stopping a car with ABS
Answer:
Press down the brake firmly and smoothly. ...
Don't brake and swerve the car at the same time. ...
Avoid using your transmission for quick stops. ...
Focus on where you want to go, not what you want to avoid.
hey! can anybody help me with part a?
We can see here that the displays that can be used to display the data set of the water districts are:
Frequency table, Bar graphCircle graph.The data set of the water districts is:
categoricalbivariateWhat is data?Data refers to any information or facts that can be collected, stored, and analyzed. This can include a wide range of things, such as numbers, text, images, audio recordings, and more.
Data can be used to provide insights, make decisions, and drive actions in a variety of fields, including science, business, medicine, and more. In order to be useful, data needs to be organized, structured, and analyzed in a way that can provide meaningful insights and information.
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URGENT PLEASE ANSWER!!! I INCLUDED THE GRAPH!
Graph the line y = 4/3x + 1.
Use the line tool and select two points on the line.
Answer:
I put the equation on math-way and it gave me this:
Answer:
Starting at (0, 1), go up 4 units, then right 3 units. You will end at (3, 5). Plot that point, and then draw a line that goes through the two points.
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed
Question 7
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Question 8
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Question 9
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
The number of people that prefer mustard is 900 and the graphical representation of a datasets are box plots & circle graphs
Interpreting the histogramThe histogram is not given and the data represented on the histogram are not properly presented
This means that the histogram cannot be interpreted
Predicting the number of hotdogsHere, we have
Ketchup = 63
Mustard = 27
Chili = 60
So, we have
Mustard = 27/(63 + 27 + 60) * 5000
Evaluate
Mustard = 900
This means that 900 people prefer mustard
The graphical representation of a datasetGiven that
Data = Milligrams of Vitamin C from 100 different gummy vitamins sold
This data can be represented using a box plot because the five-summary data can be easily identified from the dataset
From the five-summary, the median can be derived
The graphical representation of a datasetIn this case, the graph to use is a circle graph
This is so because the circle graph would show the proportion of the student's preferences
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Use separation of variables to solve the initial value problem. Indicate the domain over which the solution is valid.
dy/dx=10x^9y and y=4 when x=0
The solution to the initial value problem is [tex]y = 4e^{(5x^{10})[/tex]. The domain of the function is all real numbers.
What is first-order ordinary differential equations?Ordinary differential equations of the first order only take into account the dependent variable y's first derivative with regard to the independent variable x. They could be written as follows:
f(x,y) = dy/dx
where the supplied function of both x and y is f(x,y). There are numerous methods for solving first-order ordinary differential equations, which are crucial in many branches of science and engineering. One such method is variable separation. Other methods include Bernoulli equations, integrating components, and precise equations.
The given differential function is:
[tex]dy/dx = 10x{^9}y[/tex]
Separating the variables we have:
dy/y = 10x^9 dx
Now, integrating on both sides:
[tex]]int dy/y = \int 10x^9 dx\\ln (y) = 5x^{10} + C[/tex]
Solving for y:
[tex]y = ke^{(5x^{10})[/tex]
Now, for the initial values y = 4 and x = 0 we have:
[tex]4 = ke^{(0)}[/tex]
k = 4
Hence, the solution to the initial value problem is [tex]y = 4e^{(5x^{10})}[/tex].
The domain of the function is all real numbers.
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Jesus necesita una tapa para un frasco.El perimetro del frasco es 21.98 cm ¿cuanto mide el radio de la tapa?
por favor ocupo ayuda
The radius of the lid would be 3. 5 cm.
How to find the radius ?To estimate the radius of the lid, we must first determine the circumference of the jar, which is equal to the jar's perimeter. The specified circumference is 21.98 cm.
The circumference is:
C = 2πr
We can solve for circumference as:
21. 98 = 2 πr
r = 21. 98 / ( 2 π )
r = 21. 98 / (2 x 3. 1416 )
r = 21. 98 / 6. 2832
r = 3. 5 cm
In conclusion, the radius of the lid is approximately 3.5 cm.
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How many teaspoons are there in 6 milliliters?
Hint: 1mL≈0.2tsp
Round your answer to the nearest tenth.
Answer:
1.2 tsp
Step-by-step explanation:
6x0.2=1.2
There are 6 mL,and if each mL is 0.2tsp, then you have to multiply.
write the number six hundred and seven thousand five hundred and thirty-two in figures
Answer:
607,532
The number "six hundred and seven thousand five hundred and thirty-two" can be written in figures as 607,532.
Alyssa received a leadership patch, as shown below, when she was elected Student Body President.
The patch is in the shape of a right triangle where the top section and the whole patch form similar triangles.
If x = 55 mm, z = 80 mm, and the tangent of the bottom angle, where the star is located, is equal to , what is the length of w?
A. 32 mm
B. 48 mm
C. 55 mm
D. 40 mm
The length of the side w is 55mm. Option C
How to determine the valueNote that the different trigonometric identities are;
sinetangentcosinesecantcosecantcotangentFrom the triangle shown, we have;
x = 45mm
z = 80mm
We also have tangent where the star is located is 1
Then,
tan θ = 1
find the tangent inverse of the values
θ = 45 degrees
As given in the diagram, the diagrams are similar
So both angles are 45 degrees
However, we can deduce that since the angles are equal, then, the sides are equal
x = w = 55mm
w = 55mmm
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the angle of elevation to an airplane viewed from the control tower at an airport is 7. the tower is 200 feet high and the pilot reports that the altitude is 5200 feet. how far away from the control tower on a straight line is an airplane?
The distance between control room to airplane is 41027.5 feet.
What is trigonometric function?
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Here This distance (d) from tower will be the hypotenuse of a right triangle.
The altitude is the side opposite the angle at the tower
The tower is 200' high, therefore, the altitude above the tower.
=> 5200 - 200 = 5000 feet.
Now using sine ratio then,
=> Sin 7° = AC/BC
=> BC = AC/sin 7°
=> BC = 5000/sin 7°
=> BC = d = 41027.5 feet.
Hence the distance between control room to airplane is 41027.5 feet.
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Through (3,3) perpendicular to y=-3/4x+5
y = (-4/3)x + 1 this line will intersect point (3,-3) and be perpendicular to the line y = (3/4)x + 5.
What is the standard equation of a line?y = (3/4)x + 5
Compare with the standard form of equation y = mx +c
3/4 is the slope.
The negative reciprocal of the slope is used to obtain a perpendicular slope.
-4/3 is the perpendicular slope.
Let's rewrite the equation: y = (-4/3)x + b
Remember that b is the line's y-intercept base. If the line must pass straight through the point (3, -3), we must determine the location of the base.
To accomplish this, we just enter our point into the formula and solve for our base.
-3 = (-4/3)(3) + b
Now calculate b: b = (-4/3)(3) + 3
b = -4 + 3 b = 1
You now get the final equation: y = (-4/3)x + 1 now that you have the base.
This line will intersect point (3,-3) and be perpendicular to the line y = (3/4)x + 5.
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Complete question:
write an equation passing through the point that is perpendicular to(3,-3); y= 3/4 x+5
add. write your answer in simplest form 7 1/4 +4 5/12
Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.
What is expression?In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.
Here,
To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:
7 1/4 = 28/4 + 1/4
= 29/4
4 5/12 = 48/12 + 5/12
= 53/12
Now, we can add the fractions:
=29/4 + 53/12
To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:
29/4 × 3/3 = 87/12
53/12 × 1/1 = 53/12
Now we have the same denominator, so we can add the numerators:
87/12 + 53/12 = 140/12
We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:
140/12 ÷ 4/4 = 35/3
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regarded as likely, probable, or certain.
Probable and certain both speak about something that may (or may not) happen in the future, but probable and possible speak about future possibilities in different ways.
What is Probable?‘Probable’ is high up on the scale of probability. If something is probable, then there is a high chance that something will happen. We can imagine that ‘probable’ is around 80% and up on the scale of probability.
If something is possible, it doesn’t mean it’s probable. However, if something is probable then it’s possible too. And if this confuses you then you’re probably in the right place.
Probable and certain are both on a scale of probability. Probability is the level of possibility or chance that something will happen or will be true in the present or future.
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please help me i am confused
Suppose that Leni and Thom are lawyers and each has a taxable income of $230,000. They can't decide if they should be married in December or in January. If they marry in December, then they are considered married for the entire tax year and could file a joint return. If they get married in January of the next year, they would file a separate return each as a single taxpayer. Examine Schedules X and Y-1. Which filing status would yield the lower tax? If so, by how much? is there really a marriage penalty?
Answer:The term used for the $400 difference in Alex and Alecia's tax liability is known as the marriage penalty. Option C
The marriage penalty refers to the situation in which a married couple pays more taxes than they would if they were both single and filing separately. This penalty arises due to the progressive tax system in which the tax rate increases as the income increases. When two individuals with similar income levels get married and file jointly, their combined income puts them in a higher tax bracket, resulting in a higher tax liability.
In this case, Alex and Alecia's joint tax liability is $9,300, which is higher than the sum of their individual tax liabilities ($3,900 + $5,000 = $8,900). Therefore, they are paying an extra $400 due to the marriage penalty. This penalty can be significant for couples with similar incomes, as it can impact their financial planning and budgeting. However, there are also cases in which couples may benefit from the marriage tax advantage, such as when one spouse earns significantly less than the other.
Overall, it is essential for couples to understand their tax liability and to explore different filing options to determine the most advantageous one for their particular situation. Therefore option C is correct.
Step-by-step explanation:
Answer:
neither
$0
No
Step-by-step explanation:
solve the equation in the interval [0, 2π) 3csc^2x=4
The equation in the interval [0, 2π) 3csc^2x=4 are: x = π/3 and x = 2π/3.
What is the solutions in the interval?We can start solving the equation by isolating the csc^2(x) term, using the fact that csc^2(x) = 1/sin^2(x):
3csc^2(x) = 4
csc^2(x) = 4/3
1/sin^2(x) = 4/3
sin^2(x) = 3/4
Taking the square root of both sides, we get:
sin(x) = ±√(3/4) = ±(√3)/2
Since we are looking for solutions in the interval [0, 2π), we need to determine the angles in this interval whose sine is equal to ±(√3)/2. These angles are π/3 and 2π/3, since sin(π/3) = √3/2 and sin(2π/3) = √3/2.
Therefore, the solutions in the interval [0, 2π) are:
x = π/3 and x = 2π/3.
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Find the area of the red-shaded region (arc ED). Round your answer to the nearest
hundredths.
Answer:
Step-by-step explanation:
It should be 177.88
f(x)= lx+3l-7
What will the function be if it has been:
1. Reflected across the x-axis
2. Translated left 4 units
3. Translated down 3 units
Please type answer with no spaces. The absolute value key should be located directly above the "Enter/Return" key on your keyboard.
The function after each transformation is given as follows:
1. Reflected across the x-axis: f(x) = -|x + 3| + 7.
2. Translated left 4 units: f(x) = |x + 7| - 7.
3. Translated down 3 units: f(x) = |x + 3| - 10
How to define the functions?The function for this problem is defined as follows:
f(x) = |x + 3| - 7.
When the function is reflected across the x-axis, we have that the entire function is multiplied by -1, hence:
f(x) = -(|x + 3| - 7)
f(x) = -|x + 3| + 7.
When the function is translated left 4 units, we have that x -> x + 4, hence:
f(x) = |x + 4 + 3| - 7
f(x) = |x + 7| - 7.
When the function is translated down 3 units, we have that f(x) -> f(x) - 3, hence:
f(x) = |x + 3| - 7 - 3
f(x) = |x + 3| - 10
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a coach is interested in knowing if there is a difference in 40 yard dash times between collegiate soccer, football, and cross-country players. the independent variable in a study examining this difference is
The independent variable in the study examining the difference in 40 yard dash times between collegiate soccer, football, and cross-country players is the type of sport played by the athletes.
The coach is interested in comparing the 40 yard dash times of athletes from three different sports: soccer, football, and cross-country.
In this study, the independent variable is manipulated by selecting participants from each of the three sports. The athletes' 40 yard dash times will be the dependent variable, which is expected to vary based on the independent variable (i.e., the type of sport played by the athletes).
By comparing the 40 yard dash times of athletes from different sports, the coach can gain insights into how different types of athletic training and conditioning may affect speed and agility.
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In an instant lottery, your chances of winning are 0.1. If you play the lottery twice and outcomes are independent, the probability that you lose both times is
The probability that you lose both times in the instant lottery is 0.81.
In order to find the probability of losing both times in the instant lottery, we can use the following steps:
Determine the probability of losing once:
Since the probability of winning is 0.1, the probability of losing is 1 - 0.1 = 0.9.
Calculate the probability of losing twice:
Since the outcomes are independent, we can multiply the probabilities of losing each time.
So, the probability of losing both times is 0.9 * 0.9.
Calculate the final result: 0.9 * 0.9 = 0.81.
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URGENT - Will also give brainliest to simple answer
Answer:
6/6=1
Step-by-step explanation:
10 yd
T
12 yd
5 yd
Name of figure: ___\\
Volume:
Answer:
name of figure : pyramid
volume : 200yds.
Step-by-step explanation:
The formula for volume of a pyramid is 1/3(lwh), in this case, it would be 1/3(12x5x10). 12x5x10 is 600, and 1/3 of 600 is 200. Therefore, the volume is 200yds.
IM VERY SORRY IF THIS DIDN'T MAKE SENSE!