Answer:
The area of triangle DEF is 9 square units.
Step-by-step explanation:
It is given that triangle ABC and DEF are similar and the ratio of the side lengths in triangle ABC to triangle DEF is 1:3.
Let the length of their sides be x and x respectively.
If two triangles are similar then the ratio of their areas is equal to the square of the ratio of their sides.
Since triangle ABC and DEF are similar, therefore
[tex]\frac{Area(ABC)}{Area(DE F)}=\frac{(x)^2}{(3x)^2}[/tex]
[tex]\frac{1}{Area(DE F)}=\frac{(x)^2}{9(x)^2}[/tex]
Cancel out the common factors.
[tex]\frac{1}{Area(DE F)}=\frac{1}{9}[/tex]
On cross multiplication, we get
[tex]1\times 9=1\times Area(DE F)}[/tex]
[tex]9=Area(DE F)}[/tex]
Therefore the area of triangle DEF is 9 square units.
Help me! :)
The edges of a polyhedron are the line segments bordering each face.
True or False?
The answer is True :3
Use the net to find the approximate surface area of the cylinder to the nearest square meter
Answer:
[tex]\text{Surface area of cylinder is }302\thinspace m^2[/tex]
Step-by-step explanation:
Given the cylinder with radius 3 m and height 13 m. we have to find the surface area of the cylinder to the nearest square meter.
Radius=3 m
Height=13 m
[tex]\text{Surface area of cylinder is }\\\\=2\pi r(r+h)\\\\=2\times\frac{22}{7}\times3(3+13)\\\\=\frac{132}{7}(16)=301,71\sim302\thinspace m^2[/tex]
[tex]Hence,\text{surface area of cylinder is }302\thinspace m^2[/tex]
Option 3 is correct.
Plz jphelp me answer this year 7 question and explain how u got the answer.
State whether a side of the aquarium is best modeled by a point, a line, a ray, or a plane.
A) RAY B) POINT C) LINE D )PLANE
A round of table has a diameter of 28 inches. What is the area of the tabletop? Use 22/7 for pi
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What does the phrase “at the eleventh hour” mean in this sentence
The members of the House of Representatives approved the budget “ at the eleventh hour”
A) at a particular time of day
B) with unanimous agreement
C) before they needed to
D) at the last minute
Answer:um
Step-by-step explanation:d
solve 2x-3y=5 x=4y+5 using the substitution method
Eva is jumping on a trampoline. Her height h at time t can be modeled by the equation h=-16t^2+20t+6. Would Eva reach a height of 14 feet?
A function assigns the value of each element of one set to the other specific element of another set. Eva can not reach a height of 14 feet.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the function of the height of the jump, Eva is given as h=-16t^2+20t+6. Now, in order to know if Eva will reach 14 feet height, we need to substitute the value of her height of Eva as 14 feet, therefore,
[tex]h=-16t^2+20t+6\\\\14=-16t^2+20t+6\\\\16t^2 - 20t+14-6=0\\\\16t^2 -20t + 8=0[/tex]
If we calculate the discriminant of the given quadratic equation, we will understand that the given quadratic equation has imaginary roots.
Therefore, Eva can not reach a height of 14 feet.
Learn more about Function:
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A flagpole casts a showdown 15 feet long the 6 foot tall man casts a shadow 4 feet long how tall is the flag pole
Find the area. The figure is not drawn to scale
Please Help Me with this problem.
what is the slope w(2,4) and x(-5,-5)
What is the measure of ∠PQR ?
Enter your answer in the box. °
A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502 customers day. About how many customers does the local shop serve in a day
Answer:
about 112 customers
Step-by-step explanation:
we know that
To find out how many customers does the local shop serve in a day, multiply the fraction 2/9 by the number of customers that the shop run serve in a day
Let
x ----> the number of customers that the shop run serve in a day
y ----> the number of customers that the local shop serve in a day
[tex]y=\frac{2}{9}x[/tex]
we have
x=502
substitute the value of x in the equation
[tex]y=\frac{2}{9}(502)[/tex]
[tex]y=111.6[/tex]
Round up
so
about 112 customers
The local shop serves about 112 customers in a day
Further explanationOrder of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem.
[tex]\texttt{ }[/tex]
This problem is about Percentage.
A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain.
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]
[tex]\texttt{ }[/tex]
The shop run by the chain serves 502 customers day.
[tex]\texttt{National Chain's customers} = 502[/tex]
[tex]\texttt{ }[/tex]
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times 502[/tex]
[tex]\texttt{Local Shop's customers} = 111\frac{5}{9}[/tex]
[tex]\texttt{Local Shop's customers} \approx 112[/tex]
[tex]\texttt{ }[/tex]
Conclusion:The local shop serves about 112 customers in a day
[tex]\texttt{ }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
how many square feet is 20 ft by 20 ft
The sum of 6 consecutive integers is 519. What is the third number in this sequence?
two softball players are comparing the throwing distance representing by HSN PF how many feet longer is HF then PF round your answer to the nearest whole number
watermelon seed is 4mm long. How far would a line of 120 watermelon seeds stretch? Write your answer in meters.
To find the total length of 120 watermelon seeds, each 4mm long, we just need to multiply the length of one seed by the total number of seeds. Then, to convert the total length from millimeters to meters, we divide by 1000. So, a line of 120 watermelon seeds would be 0.48 meters long.
Explanation:This problem involves simple multiplication to solve it. Since each watermelon seed is 4mm long, to find the length of 120 seeds lined up, we just need to multiply 120 by 4. So, 120 seeds * 4mm/seed = 480mm. To convert millimeters to meters, we divide by 1000 (as there are 1000mm in a meter). So, 480mm = 0.48 meters. Therefore, a line of 120 watermelon seeds would stretch 0.48 meters.
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-61/12=b-4/3 help me out please
State which of the following ordered pairs is a function.
Set A: (-1, 0), (-2, 1), (4, 3), (3, 4)
Set B: (1, 4), (2, 3), (3, 2), (4, 1)
Set C: (2, 1), (3, 2), (2, 3), (1, 4)
a. Set A
b. Set B
c. Both Set A and Set B
d. Set C
Answer:
c
Step-by-step explanation:
leah is placing books on a one meter long shelf. If each book is 2 cm wide, how many books will fit on the shelf?
(5 points)
Points A and B are two of the vertices of a right triangle. They are the endpoints of the hypotenuse AB¯¯¯¯¯ of the triangle. The third vertex of the triangle lies in the first quadrant.
Plot a point at the location of the third vertex.
If I have a 40 % and my teacher puts in 3 100% what’s my grade ?
A 6-foot tall person standing with her back to the sun casts an 8-foot long shadow. To the nearest degree, what angle does the sun make with the ground?
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
Let us suppose the sun has angle of elevation x
The triangle formed will be a right triangle, so
[tex]tan x= \frac{opposite}{adjacent}[/tex]
[tex]tanx = \frac{6}{8}[/tex]
taking tan inverse
[tex]x=tan^{-1}(\frac{6}{8} )[/tex]
[tex]x=36.87[/tex]
To the nearest degree, the angle will be 37 degrees. : Answer
Hope it will help :)
a zookeeper measured the length of 5 snakes at the zoo he recorded the results in a table. what is the main snake length?
____cm
it is an algebra 2 question I do not know if that is allowed. please if anyone can help anyway.
[tex]x \div x - 4 = 2[/tex]
Which of the following equations can be used to solve for acceleration
A) acceleration= distance * time
B) acceleration=(change in velocity)/time
C) acceleration = force* distance
D) acceleration = (change in displacement)/time
Hello!
The answer should be the second option B.
Acceleration is a rate of change in velocity. It involves a change in speed and direction. Change of velocity over a period of time.
Acceleration formula
↓↓↓↓↓↓↓
A=Δv/t
Hope this helps!
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-Charlie
The equation that can be used to solve for acceleration is acceleration = (change in velocity)/time (Option B).
Explanation:The equation that can be used to solve for acceleration is acceleration = (change in velocity)/time (Option B).
This equation calculates acceleration by dividing the change in velocity by the time taken.
For example, if an object's velocity changes from 10 m/s to 20 m/s in 5 seconds, the acceleration can be calculated using this equation as (20 m/s - 10 m/s) / 5 s = 2 m/s2.
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Suppose there is a relationship between independent and dependent variables represented by a scatterplot. Which statement is correct? The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right. The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right. The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right. Mark this and return
Answer:
B: The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.
Step-by-step explanation:
edg2021
dependent means it depends on something, such as the independent variable that will change it
The independent variable influences the dependent variable in a scatterplot regardless of whether the relationship is positive (upward slope) or negative (downward slope), which is shown by the direction in which the points trend.
The correct statement is: The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. This means that the independent variable can have either a positive relationship or a negative relationship with the dependent variable. If there is a positive relationship, as the independent variable increases, the dependent variable also increases and vice versa. Conversely, in a negative relationship, as the independent variable increases, the dependent variable decreases, and as the independent variable decreases, the dependent variable increases. A scatterplot is a tool that helps visualize these relationships, with the independent variable typically plotted on the horizontal axis and the dependent variable on the vertical axis. The slope of the points in a scatterplot indicates the direction of the relationship, which can be assessed by observing whether most points lie around a line that slopes upwards or downwards.
Please help me? Show your work please! I give brainiest! (Or whatever it’s called :) )