A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters.
Answer:65
Step-by-step explanation:
60 + 5 is 65
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. Length (cm) Width (cm) 6 9 36 48 15
jan typically earns $435 each week of which 78.30 withheld for taxes. what percent of jan's earnings are withheld each week solve
Please Help!!!!!!!! Only Circled Questions!!!!!!!!!!! Show all Steps
Karim sent a chain email to 10 of his friends. The number of people who got the email increases by a factor of 1.4 every week. Write an expression that best represents the
number of people who got the email after three weeks.
Final answer:
The number of people who got the email after three weeks can be calculated using the formula: F = 10 * (1.4)^t, where F represents the number of people, 10 represents the initial number of friends, 1.4 represents the factor of increase, and t represents the number of weeks. After substituting t = 3, we find that approximately 27 people will have received the email after three weeks.
Explanation:
To represent the number of people who got the email after three weeks, we can use the formula:
F = 10 * (1.4)^t
Where:
F represents the number of people who got the email10 represents the initial number of friends Karim sent the email to1.4 represents the factor by which the number of people increases each weekt represents the number of weeksSubstituting t = 3 into the formula, we can calculate the number of people who got the email after three weeks.
F = 10 * (1.4)^3 = 10 * 2.744 = 27.44
Therefore, after three weeks, approximately 27 people will have received the email.
The correct expression is:
(B) [tex]\(10 \cdot 1.4^6\)[/tex]
Sure, let's break it down step by step:
1. Initial number of people who received the email: Karim sent the email to 10 friends, so initially, [tex]\(10\)[/tex] people received it.
2. Factor by which the number of recipients increases each week: The number of recipients increases by a factor of [tex]\(1.4\)[/tex] each week.
3. Number of people who received the email after 1 week: To find this, we multiply the initial number of recipients by the factor for 1 week, which is [tex]\(10 \times 1.4 = 14\).[/tex]
4. Number of people who received the email after 2 weeks: Now, we take the number of recipients after 1 week (14) and multiply it by the factor for another week, [tex]\(1.4\)[/tex], giving us [tex]\(14 \times 1.4 = 19.6\)[/tex]. Since we can't have a fraction of a person, we round this up to the nearest whole number, which is [tex]\(20\).[/tex]
5. Repeating this process for 6 weeks: We continue this process for each additional week until we reach the 6th week.
6. General formula for the number of recipients after [tex]\(n\)[/tex] weeks: After [tex]\(n\)[/tex] weeks, the number of recipients can be calculated using the formula:
[tex]\[10 \times 1.4^n\][/tex]
So after 6 weeks, the expression becomes:
[tex]\[10 \times 1.4^6\][/tex]
7. Final Answer: The correct choice is (B) [tex]\(10 \times 1.4^6\).[/tex]
The correct question is:
Karim sent a chain email to 10 of his friends. The number of people who got the on: il increases by a factor of 1.4 every week.
Which expression gives the number of people who got the email after 6 weeks?
Choose 1 Anwer:
(A) [tex]$(10 \cdot 1.4)^6$[/tex]
(5) [tex]$10 \cdot 1.4^6$[/tex]
(c) [tex]$10+1.4 \cdot 6$[/tex]
(D) [tex]$(10+1.4) \cdot 6$[/tex]
anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of a window still that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65 degrees. Will the ladder be safe resting on the window still? Draw a diagram and show work to support your answer
to the nearest tenth of an inch how long is the foit of a person who wears a size 10 1/2
Using a standard shoe size chart, the foot length for a size 10 1/2 shoe is approximately 11.1 inches when rounded to the nearest tenth of an inch.
To determine the length of the foot for a person who wears a size 10 1/2 shoe to the nearest tenth of an inch, we reference a standard shoe size chart. Shoe sizes are an approximation of the foot length they are intended to fit, with different increments representing each half-size increase. For a size 10 shoe, the approximate length is given as around 10.9 to 11 inches. Considering half sizes add approximately 1/6 of an inch, a size 10 1/2 would be approximately 11.1 inches long when measured accurately. However, shoe size to foot length can vary slightly by manufacturer, so this is a general estimate.
There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Which proportion can you use to find the number x of boys?
To find the number of boys, we can use the proportion 3/8 = x/160. Solving the equation, we find that the number of boys is 60.
Explanation:To find the number of boys, we can use the proportion:
3/8 = x/160
We know that the ratio of boys to girls is 3 to 5, which is equivalent to 3/8. Cross-multiplying the proportion, we get x = (3/8) * 160. Solving the equation, we find that the number of boys is 60.
Learn more about Finding the number of boys in a given grade here:https://brainly.com/question/34102719
#SPJ3
Which Value of t makes the following true -16+t<-32
a product cost 48.50 for 75 feet was is my cost per inch
Mr.holms used 4/5 of a carton of orange juice.he used equal amounts of leftover juice for two servings what fraction of the whole carton of juice did he use for each serving
A certain recipe calls for 2 1/3 cups of sugar, how much sugar is needed to make 1/3 of the recipe?
A total of 757 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 more student tickets sold than adult tickets. How many adult tickets were sold?
Final answer:
To find the number of adult tickets sold, a system of equations is created based on the total tickets sold (757) and the fact that there were 57 more student tickets sold. Solving for x gives us 350 adult tickets.
Explanation:
How to Determine the Number of Adult Tickets Sold
To determine how many adult tickets were sold for the school play when there is a known total of 757 tickets and that 57 more student tickets were sold than adult tickets, we can set up a system of equations to solve for the number of adult and student tickets. Let's let x represent the number of adult tickets, and x + 57 represent the number of student tickets since there were 57 more student tickets sold than adult tickets.
Based on the total number of tickets sold, the following equation represents this relationship:
x (adult tickets) + x + 57 (student tickets) = 757
Combining the like terms gives us:
2x + 57 = 757
Subtracting 57 from both sides gives us:
2x = 700
Dividing both sides by 2 gives us:
x = 350
So, the number of adult tickets sold is 350.
The median number of coloring contests won by 4 kids in a certain year is 5. The range of number of contests won by those kids that year is 6.
Determine if the following statement is true, is false, or does not contain enough information.
At least one of the kids won exactly 5 coloring contests.
The statement that at least one of the kids won exactly 5 coloring contests based on the given median and range is not necessarily true; the information provided doesn't specify individual winnings.
Explanation:The statement that at least one of the kids won exactly 5 coloring contests is false based on the given information. The median of a dataset is the middle value when the numbers are arranged in order. However, knowing the median is 5 does not necessarily mean any of the values in the dataset are 5. It only indicates that half of the kids won more than 5 contests, and half won fewer. The range of 6 tells us the difference between the highest and lowest values but does not provide specific information about any of the kids winning exactly 5 contests.
The given data does not contain enough information to accurately say whether a kid won exactly 5 contests or not, thus making the initial claim not necessarily true.
the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x+10y=110
1 find and interpret the y-intercept.
2find and interpret the x-intercept.
3how many grams of fiber does an orange contain?
4how many grams of fiber does an apple contain?
5is it possible for the package to contain 15 apples? explain.
(a) What’s the name of the 3D shape this net represents? (For example, square prism, rectangular prism, triangular prism, cube, rectangular pyramid, triangular pyramid, square pyramid…). Write your answer below.
(b) What’s the surface area of this tent? Show all work and write your answer below.
Answer:the answer is square pyramid
Step-by-step explanation:
6.The base of a triangle is 21 inches and the height is 12 inches. Which of these expressions correctly shows how to calculate the area of a triangle?
Which is a correct classification for the triangle?
A. Acute triangle
B. Obtuse triangle
C. Equiangular triangle
D. Right angle
A square with an area of 4 in² is dilated by a factor of 7. What is the area of the dilated square?
Angles 1 and 5 are____
A.) alternate exterior
B.) alternate interior
C.) supplementary
D.) right
Answer: Angles 1 and 5 are supplementary.
Step-by-step explanation:
id did this and ...
the equation of a quadratic function represented by the graph is y=a(x-3)^2-1. what is the value of a?
A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold?
how do you solve u/6 > (with an underline underlining it) 3
plz help
its due tomorrow
A semi circle has a radius of 5cm. What is the area of the semi circle?
Use 3.14 for pi.
A.) 15.70
B.) 31.40
C.) 39.25
D.) 78.50
Determine whether the given triangles are similar. Justify your answer. If they are similar write a similarity statement. How do you do this?
Similar shapes may or may not have equal lengths
Triangles ABC and PRQ are similar by SSS
The corresponding sides on both triangles are:
AB = 8, and PQ = 6
AC = 12, and PR = 9
BC = 12, and QR = 9
Divide the corresponding sides, to determine the scale factor (k)
[tex]k = \frac{6}{8} = \frac{9}{12} = \frac{9}{12}[/tex]
Evaluate the quotients
[tex]k = 0.75 = 0.75 = 0.75[/tex]
Given that the scale factors are equal.
Hence, both triangles are similar by SSS
Read more about similar triangles at:
https://brainly.com/question/2644832
You are working as an apprentice for the bksb Newcastle Arena. When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage. How much money did the arena make from Phillip Cage’s concert?
Final answer:
The arena therefore made £6,000 from Phillip Cage's concert.
Explanation:
To find the amount of money the arena made from Phillip Cage's concert:
Calculate the total parts in the ratio: 2 + 5 = 7 parts.Divide the total money by the total parts: £21,000 / 7 = £3,000 per part.Finally, multiply the arena's share of parts (2 parts) by the value of each part: £3,000 x 2 = £6,000.while on vacation, Erika bought 6 postcards, which was twice as many postcards as Nathan bought. Samantha bought 4 times as many postcards as Nathan. how many postcards did Samantha buy?
The number of postcards Samantha bought is 12.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
Erika bought 6 postcards
Let the number of postcards Erika bought is given by x
Erika bought twice as many postcards as Nathan bought
Let the number of postcards Nathan bought is given by y
x = 2y
Samantha bought 4 times as many postcards as Nathan
Let the number of postcards Samantha bought is given by z
z = 4y
The value of x = 6, so
6 = 2y
y = 3
z = 4y
z = 12
Postcards bought by Samantha is 12.
To know more about Equation
https://brainly.com/question/10413253
#SPJ2
Which of these best describes an undefined term?
A. A term that is a building block for other definitions in geometry
B. A clause in a conditional statement that begins with "then"
C. A statement that has already been proven to be true
D. A statement that is the opposite of an original statement
Answer:
A. A term that is a building block for other definitions in geometry.Step-by-step explanation:
In Geometry, undefined terms refer to concepts like point, line and plane. Which are concepts that cannot be defined, they are too intuitive. Undefined terms are always true, they cannot be prove because those concepts are too primitive.
It's important to know that Geometry develops another complex defintions from these undefined terms, beacuse point, line and plane are the fundamentals of Geometry.
Therefore, the right answer is A.
Other choices are just wrong, because undefined terms aren't condition statments, they cannot be proven and they aren't oppsite of an original statement.
PLEASE HELP ME!!!!!!!!!!!!!ASAP!!!!!!!!!!!
The Charts Are in order for each Question
1.What is the median value of the data set shown on the line plot?
Enter your answer in the box.
2.A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment. What statement about the two plots’ distributions is true?
A.There is no overlap between the two distributions.
B.The degree of overlap between the two distributions is moderate.
C.The degree of overlap between the two distributions is low.
D.The degree of overlap between the two distributions is high.
The following circle graph represents how the Townsends spend their monthly income. What is the central angle measure of the section that represents "Savings"?
18°
36°
5°
9°
The circle graph represents how the Townsends spend their monthly income.
Total central angle of the circle is 360°
Townsend saves 5% of the monthly budget.
Therefore, the central angle measure of the section that represents "Savings" is 5% of the total central angle
= 5% of 360°
= 18°
The central angle measure of the section that represents "Savings" is 18°
Hope this helps ..!!
Thank you :)
Answer:
18˚
Step-by-step explanation:
The total amout is 360˚ and this small ooprtion is 18˚.