The total surface area of the square pyramid is 28 m²
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
Given the square pyramid net:
Area of square base = 2 m * 2 m = 4 m²
Area of each triangle face = (1/2) * 2 m * 6 m = 6 m²
Area of the four triangle face = 4 * 6 m² = 24 m²
Total surface area = 24 m² + 4 m² = 28 m²
The total surface area is 28 m²
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given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds
Answer:107.2
Step-by-step explanation:
Answer:
107.2
Step-by-step explanation:
6 x 16 = 96
.7 x 16 = 11.2
add them to get 107.2
Jack can text 210 characters in 21 minutes. Write an expression for m minutes.
a. 10m
b. 210m
c. 21m
d. 12m
If it takes three robots 17 hours to mow vast lawn how many robots would be needed to mow it under three hours
Answer:1/4 of robot
Step-by-step explanation:
Need help with this!!
Answer:
below
Step-by-step explanation:
1) slope = rise / run
2 coordinates are (-4, 0), (0, 2).
2 - 0 = 2
0 -- 4 = 4
2 / 4 = 1/2 so the slope is 0.5 or ½
2) it crosses the y axis at the average of the origin and 4.
4 + 0 = 4 / 2 = 2 so y intercept is 2.
3) in y= mx + b form
f(x) = ½x + 2, or, f(x) = 0.5x + 2
The area of a square quilt is 35 ft 2. How will it look stretched across a queen sized bed measuring 60 inches wide and 80 inches long?
The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.
What is the relationship between the quilt and the bed?The first step is to determine the dimensions of the quilt.
Dimensions = √35 = 5.92 feet
Now convert the dimensions of the quilt to inches
1 feet = 12 inches
5.92 x 12 = 70.99 inches
Difference in the width of the bed and the quilt = 70.99 - 60 = 10.99
Difference in the length of the bed and the quilt = 80 - 70.99 = 9.01
Here are the options:
A. The quilt will cover half of the surface of the bed.
O B. The quilt will match up with the length of the bed, but 20 inches will hang over the length. °
C. The quit will be 14.6 inches wider and 15.4 inches shorter than the bed. O D. The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.
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a park is in the shape of a rectangle 8 miles long and 6 miles wide. how far is it diaginally across the park
Answer: 4800 square ft
What would the graph look like for ^
Answer: The correct option is the first one.
Step-by-step explanation:
Let's define how to interpret each symbol:
x < a (x is strictly smaller than a, we graph this with an open circle at a, and an arrow to the left of a)
x > a (x is strictly larger than a, we graph this with an open circle at a, and an arrow to the right of a)
x ≥ a (x is larger than or equal to a, we graph this with a closed circle at a, and an arrow to the right of a)
x ≤ a (x is smaller than or equal to a, we graph this with a closed circle at a, and an arrow to the left of a)
In this case, we have the inequality:
x ≤ 15
Then to graph this we need a closed circle at 15, and an arrow to the left. The correct option is the first one.
Arrange the following numbers in descending order: 50,101 501,100 51,150 500,101
Answer:
Step-by-step explanation:
Hope it helps,view the image:
Could y’all PLEASE HELP
Answer:
should be complementary angles
in this figure below triangle GHI is similar to Triangle MHL what is the distance between M and H 12 16 24 or 27
I'll mark anyone who answers this question brainliest please help I'm about to fail
The distance between M and H is given as follows:
x = 21.3.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.The proportional relationship between the side lengths is given as follows:
x/18 = 24/16
Applying cross multiplication, the distance between M and H is obtained as follows:
16x = 24(18)
x = 24 x 18/16
x = 27.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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PLEASE HELP WILL MARK BRAINLIEST
Answer:
b is a answer of this question
What is the area of the trapezoidal window below?
Answers:
A: 21m to the second power
B: 25.5m to the second power
C 22.5m at the second power
D: 18m at the second power
Answer:
B) 25.5 m²
Step-by-step explanation:
The formula to find the area of a trapezoid: 1/2 x (a + b) x h, where a and b are the parallel lines and h is the height.
1) Input the values into the formula, and solve it.
= 1/2 x (5 + 12) x 3
= 1/2 x 17 x 3
= 1/2 x 51
= 25.5
Answer:
B
Step-by-step explanation:
A = (1/2)(3)(5 + 12)
= (1/2)(3)(17)
= (1/2)(51)
= 25.5 m^2
Need help with 5 and 6 first one to answer gets brainliest
Answer:
5) 1
6) 131
Step-by-step explanation:
5)
f(1) = -1 - 8 = -9
-9 + 10 = 1
6)
g(-9) = \(9^{2}\) + 8(9) - 15 = 138
138 - 7 = 131
Answer:
Step-by-step explanation:
5.
f(x) = -x -8
substitute x with 1 in the equation of f(x)
f(1) +10 = -1 -8 +10 = -9 +10 = 1
6.
g(x)= x²+8x -15
g(-9) -7 = (-9)²+8(-9) -15 -7 = 81 -72 -22 = 81 - 94 = -13
Jake and Joshua have new jobs selling gift cards at a local convenience store at the cash register, but their pay is different. Jake earns a foundational wage of $15 per hour, as well as $3 for each gift card sold. Joshua gets $4 for each gift card sold and earns a foundational wage of $10 per hour. If they each sell a certain number of gift cards in one hour, they will end up earning the same amount of pay. How many gift cards would that make up to?
Statement Problem: Jake and Joshua have new jobs selling gift cards at a local convenience store at the cash register, but their pay is different. Jake earns a foundational wage of $15 per hour, as well as $3 for each gift card sold. Joshua gets $4 for each gift card sold and earns a foundational wage of $10 per hour. If they each sell a certain number of gift cards in one hour, they will end up earning the same amount of pay. How many gift cards would that make up to?
Solution:
Let the certain number of gift cards they each sell in one hour be g;
Thus, for that hour, Jake earns;
\(\text{ \$(15+3g)}\)and Joshua earns;
\(\text{ \$(10+4g)}\)If they end up earning the same amount of pay for that hour, then;
\(\begin{gathered} 15+3g=10+4g \\ \text{Collect like terms;} \\ 15-10=4g-3g \\ g=5 \end{gathered}\)Thus, they each sell five giftcards.
Abe has a different spinner. He also wants to develop a probability model. How will his probability model be the same as, and how will it differ from, Jenna’s model?
Abe's model is similar to Jenna's model in the number of possible outcomes in the sample space, and in that the P(white) = 1/2.
How to find the probability?Given - Abe has the following spinner:
(the image below)
Jenna's spinner had 3 white sections, 1 yellow section, 1 blue section, and 1 red section.
To find - How his probability model will differ from Jenna's model?
This question can be answered by observing differences and similarities between Jenna's and Abe's spinners in terms of the sample space and probabilities of each color.
The models differ in that, the probability of the two events is the same in Abe's model, but the probability of all four events in Jenna's model is not the same.
Step 1
In Abe's spinner, the Sample space, S is three white sections and three blue sections adjacent to each other.
The list of events and their probabilities is:
P(white) = 1/2
P(blue) = 1/2
Thus, Abe's model is similar to Jenna's model in the number of possible outcomes in the sample space, and in that the P(white) = 1/2.
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A particle in the ocean moves with a wave. The motion of the particle can be modeled by the cosine function. If a 14 in. wave occurs every 10 s, write a function that models the height of the particle in inches y as it moves in seconds x. What is the period of the function?
The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.
How to find the cosine function of this problem?he cosine function can be used to model periodic motion, and its general form is:
y = A cos (Bx + C) + D
where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.
Therefore, the frequency is:
\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)
We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.
Now we can write the function that models the height of the particle in inches y as it moves in seconds x:
y = 7 cos (2π * 0.1 * x)
Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.
Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.
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Find an equation of the line described below. Write the equation in slope intercept form( solved for y) when possible through (8,5) and (5,8)
\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)
Which graph shows the solution to the following system of inequalities? {x+y>4 x+y<3
The graph of the two inequalities {x+y>4} and {x+y<3} is attached with the answer below.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequalities are:-
{ x + y > 4 }
{ x + y < 3 }
We can see that inequality shows the open curve above the line x + y =4 and shows the open curve below the line x+y=3. So the two inequalities do not have any relation.
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Answer:A
Step-by-step explanation:
Evaluate 5 + 8x when x = 2
The length of a rectangle is 25 cm.
What width will make the perimeter of the rectangle greater than 90 cm?
A. width <20 cm
B. width> 20 cm
OC. width ≥ 20 cm
OD. width 20 cm
E. width = 20 cm
Answer:
The correct answer is B, also may be Brain??
Step-by-step explanation:
The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.
Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.
So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.
Answer:
i'm guessing this but not 100% sure
Step-by-step explanation:
Let w = the width
P = 2l + 2w
2w + 2(25) > 90
2w + 50 > 90
2w > 40
w > 20 cm
Analyzing a Solution
Mark used a number line to model dividing by 3. He
3
divided the number line from 0 to 1 in 3 equal sections,
and then divided each of those sections into 2 equal
1
parts. Mark says+3 is 3.
Is his answer correct? Explain why or why not.
No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.
Mark's answer is not correct.
When dividing a number line into equal sections, the value of each section represents a fraction of the whole.
In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.
Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.
So far, this is correct.
However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.
So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.
Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.
Mark made an error by mistakenly assuming that each smaller division represents the number 3.
In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.
The correct representation for dividing the number line as described is 1/6.
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he square root of 125 is closest to what whole number? *
Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
Find the total year costs for 5
years, 10
years, and 15
years for purchasing and renting a house. Then compare your answers to those in the following table.
Length of Time Purchase Home Rent Home
5
years $78,559.20
$54,900.00
10
years $127,118.40
$115,200.00
15
years $175,677.60
$180,900.00
Purchase Home
Total 5-
year cost: $30,000.00+5×12×$809.32=$78,559.20
Total 10-
year cost: $30,000.00+10×12×$809.32=$127,118.40
Total 15-
year cost: $30,000.00+15×12×$809.32=$175,677.60
Rent Home
Total 5-
year cost: (4×12×$900)+(1×12×$975)=$54,900
Total 10-
year cost: (4×12×$900)+(4×12×$975)+(2×12×$1050)=$115,200
Total 15-
year cost: (4×12×$900)+(4×12×$975)+(4×12×$1050)+(3×12×$1125)=$180,1900
Recall the pros and cons of buying a house and which conditions make it better to to purchase a home. Also, think about the pros and cons of renting a house and which conditions make it better to rent. Use this information along with the total costs you found to answer the following prompts. Make sure to write your answer in complete sentences.
Does renting or purchasing makes the most sense for the Bainters if they live in the house 1
year? 5
years? 10
years? 15
years?
For each interval, explain why you think the Bainters should rent or purchase a home. Use mathematical evidence to support your conclusions.
The table makes it abundantly evident that buying costs less than renting does. Buying a house is therefore better over the course of 15 years. By buying a home instead of renting one, you can save $5,222.4.
How are lengths determined?Every object's length can be determined using measuring tools like a ruler, measuring tape, etc. For example, a ruler may be utilized to measure the length in inches of a pencil. A foot scale can be used in a classroom to gauge the heights of the students.
Step 1
Buying a home is more advantageous if someone is looking for somewhere to live for an extended period of time. Second, if a person buys the home, it can be sold at a higher price in the future since rental prices after a specified term and after a few years, say 10 or 15, cumulative rental charges become greater than the initial purchase price.
However, according to the above table, renting a property is preferable if the need for the home is for a shorter duration, like fewer then 5 or 10 years, in order to save money.
Step 2
1 year
The cost for Purchasing a house = 30,000 + 1 × 12 × 809.32 = $39,711.84
The cost of renting a house = 1 × 12× 900 = $10,800
So, it is evident that there's a difference between buying and renting a home of $28,911.84. So, renting a home is preferable.
Step 3
5 year
The cost of purchasing the home for five years is listed as $78559.20, whereas the cost of renting the home for five years was $54,900.
Again, renting is more affordable than buying. By renting a home, one could save $23,659.2 (78559.20-54900).
10 years
The cost of purchasing the home over 10 years is shown as $127,118.40, while the cost of renting the home for 10 years was $115,200.
Renting is less expensive than buying. Yet, buying a house is advantageous if it can be bought or rented out; otherwise, leasing one is advantageous.
Step 4
15 years
The table clearly shows that purchasing is less expensive than renting. Over the period of fifteen years, purchasing a home is therefore preferable. You can save $5,222.4 by buying a house instead of renting one.
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When twice a number is subtracted from 34, the result is 16. Find the number.
O A. 8
OB. 16
C. 12
OD. 9
Answer:
9
Step-by-step explanation:
34 - 16 = 18
18 ÷ 2 = 9
you're welcome! I'm a 6th grader btw!
Answer:
9
Step-by-step explanation:
34-2x=16
-2x=16-34
-2x=-18
2x=18
X=18/2
X=9
So the answer is 9.
Can someone help me with this please?
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
where is the incenter of any given triangle
The incenter of any given triangle s the point of congurrency of the angle bisectors of the triangle
we know that
The incenter is the point where the angle bisectors intersect. The incenter is also the center of the triangle's incircle.
therefore
Is the point of concurrency of the angle bisectors of the triangle
Part 2)
we know that
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side
therefore
Is a segment drawn from a vertex to the midpoint of the opposite side
Therefore, the incenter of any given triangle s the point of congurrency of the angle bisectors of the triangle
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Slope 0; through (-5, -1)
Answer:
y = -1
Step-by-step explanation:
is 15.19 less than 15.162?
Answer:
No it is more
Step-by-step explanation:
Answer:
no 15.19 is greater than 15.162