Given:
[tex]\Delta ABC\sim \Delta D E F[/tex]
[tex]AB=18,BC=21,AC=24,EF=7[/tex]
To find:
The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].
Solution:
We have,
[tex]\Delta ABC\sim \Delta D EF[/tex]
So, side BC is the corresponding side of EF.
Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is
[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]
[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]
[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]
Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].
2. Karen has 445 stickers in her collection. There are 221 animal stickers and 174 cartoon stickers. She also has some flower stickers. How many flower stickers does she have?
Answer:
c
Step-by-step explanation:
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
B
Step-by-step explanation:
We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:
[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]
The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]
Remember that the derivative of a constant is always 0. Therefore:
[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]
And by subtracting dy/dt from both sides, we acquire:
[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]
Hence, our answer is B.
Answer:
Let x and y be functions of time t such that the sum of x and y is constant.
(B) is the right answerMarking brainliest
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answer:
[tex]11.1\: \mathrm{g}[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.
Answer:
I need this answer ASAP
Step-by-step explanation:
Please solve thank you if so
Answer:
5(3) + i = 30
15 + i = 30
Step-by-step explanation:
Need as soon as possible
Answer: 136 square feet
=======================================================
Explanation:
The front face is a triangle with base 6 and height 4.
The area is 0.5*base*height = 0.5*6*4 = 12 square feet
The back face is also 12 square feet since the front and back faces are identical triangles.
So far we have 12+12 = 24 square feet of surface area.
--------------------
The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.
To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.
This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.
So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.
Answer:
c(h)=12h+6
because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis
HELP!!! WILL GIVE BRAINLIEST!!!
If a line passes through the points (3,5) and (1, 2), its slope is_______.If
necessary, use the slash (/) to indicate a fraction.
Answer:
answer: The formula is
(Y2-y1) /(x2-x1)
(3-1)/(5-2)
2/3
Step-by-step explanation:
Have a good day;-)
WILL MARK BRAINLIEST ANSWER ASAP
Which answer choice correctly represents an algebraic expression for 8 less than a number?
a. x-8
b. 8-x
c. x+8
d. 8x
Answer:
A
Step-by-step explanation:
1
1 " a number x" →x.
2
2 "less than a number x" means to subtract →x−
3
3 "8 less than a number x" means to subtract →x−8.
The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140
Can someone please help me
Answer:
12:15
3 goes into both of these numbers so then becomes
4:5
cannot be reduced any further
answer
4:5
Mille is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace, about how many pages will she have read after 5 days?
need help asap please
Answer:
[tex]\displaystyle yes[/tex]
Step-by-step explanation:
If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.
I am joyous to assist you at any time.
Mr. Marcus is splitting a huge new pack of colored pencils equally among 25 students after splitting the pencils he has 4 left if there were 429 colored pencils to begin with how many did each student receive
Answer:
hIm so sorry for that other person they did the same thing to my answer and a bunch of other people too iecked there account and reported him many times so sorry but can give you the answer :)
Its 17 if i id math correctly! sorry bout the other person have a great day
Step-by-step explanation:
A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?
Answer:
The measurement of the width is 10cm.
Please help me! I'm really stuck on this question!
i think the answerd is a
Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]
Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]
[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]
A dealership pays $580 for each electronic unit and sells it for $940. What is the percent markup in the price of each unit
Answer:
62.06%
Step-by-step explanation:
Given that,
CP of an electronic unit = $580
SP of an electronic unit = $940
We need to find the percent markup in the price of each unit. It can be done as follows :
[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]
So, the required answer is 62.06%.
Rewrite the following equation as a function of x
1/16x + 1/320y - 29 = 0
A. F(x) = -9280 + 1/16x
B. F(x) = 9280 - 20x
C. F(x) = -9280 + 20x
D. F(x) = 9280 - 1/16x
Answer:
the awnser is b hope this helps
Step-by-step explanation:
The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.
The given function is x/16 + y/320 - 29 = 0.
What is a function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
Now, the LCM of denominators 16 and 320 is 320.
So, 20x/320 + y/320 - 9,280/320 = 0
⇒20x+y-9280=0
⇒y=9280-20x
The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/9046022.
#SPJ2
7(5a − 4) = 14 − 8a + 1
Answer:
a = 1
Step-by-step explanation:
7(5a − 4) = 14 − 8a + 1
Distributive property ( multiply what is inside the parenthesis by 7)
7 * 5a - 7 * 4 = 14 - 8a + 1
35a - 28 = 14 - 8a + 1
Combine like terms
35a - 28 = 15 - 8a
Add 8a on both sides
35a + 8a - 28 = 15 - 8a + 8a
43a - 28 = 15
Add 28 on both sides
43a - 28 + 28 = 15 + 28
43a = 43
Divide by 43 on both sides to isolate the variable
43a/43 = 43/43
a = 1
Check
7(5a − 4) = 14 − 8a + 1
Just substitute the "a" with "1"
7(5 * 1 − 4) = 14 − 8 * 1 + 1
35 - 28 = 14 - 8 + 1
7 = 7 CORRECT
Hope this helped!
have a supercalifragilisticexpialidocious day!
Graph the image of the figure after a dilation with a scale factor of 2 centered at (-7, - 2).
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answer:
Sorry this is late!
Step-by-step explanation:
Which of the following will result in a rational answer?
O multiplying by a fraction
O adding the square root of a non perfect square to a whole number
O adding the square root of a perfect square tox
O multiplying a fraction by a repeating decimal.
I think it is going to be number 4
Identify whether the given value is a statistic or parameter:
In a random sample of U.S. households, it was found that 72% have high-speed Internet.
Answer:
The value is a statistic, since it is from a sample.
Step-by-step explanation:
If the value is from a population, it is a parameter.
Otherwise, if the value is from a sample, it is a statistic.
In this question:
In a random sample of U.S. households, it was found that 72% have high-speed Internet.
The value is from a sample, so it is a statistic.
(Worth 50 points. Don't post your answer unless you have good ideas) Solve the following problem:
Which triangles are similar ?
Answer: ΔABC ≅ ΔADB
Step-by-step explanation:
In order to be similar, they must have the same angles.
ΔABC ΔADB ΔDBC
∠A = 180 - (2a + b) ∠A = 180 - (2a + b) ∠D = 180 - (a + b)
∠B = a + b ∠D = a + b ∠B = b
∠C = a ∠B = a ∠C = a
ΔABC and ΔADB have the same angles so they are similar.
When you plugged in your phone you had 36% left on your battery. It took 25 minutes to rwach 100% charge. What is the constant rate of change of % charge per minute?
Answer:
0.390%
Step-by-step explanation:
100-36=64
25÷64=0.390625
Answer:
2.6
explanation:
100-36=64
64/25= 2.6
Find 3.5% of 950 g.
Answer:
33.25 g
Step-by-step explanation:
Answer:
33.25 g
plz refer to the picture
Good afternoon guys! Can anyone help me with this?
Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question
Step-by-step explanation:
If y=1.8x, then k is equal to...
Is there no solution?
Answer:
There no solution, because there have no k in this equation.
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
What is the sum of -2 and -7?
Board sum: 0
Reset
Answer:
-9
Step-by-step explanation:
The sum of -2 and -7 is given as follows;
-2 + (-7)
In mathematical operations, + * - is -.
So we have;
-2 - 7
This gives us: -9
Answer:
10
Step-by-step explanation:
im on enginuity leson multiplying with intager tiles qestion 4
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 181618161816 students at Franklin High School.
Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?
Answer:
46701813038
Step-by-step explanation:
A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%
B.
8%
C.
15%
D.
18%