Rectangles ABCD and QRST are similar I 42 cm B 21 cm D (a) Determine the scale factor applied to rectangle ABCD to create rectangle QRST Show your work! 1 (b) Reproduce rectangle ABCD at a scale of Show your work and label measurements for each side of your rectangle.
Answers
Answer:
(a) Scale factor: [tex]k = \frac{2}{3}[/tex]
(b) See attachment
Step-by-step explanation:
Given
See attachment for ABCD and QRST
Solving (a): The scale factor of ABCD to QRST
This is calculated as:
[tex]k * ABCD = QRST[/tex]
Considering corresponding sides AB and QR
[tex]AB = 42cm;\ QR = 28cm[/tex]
[tex]k * AB = QR[/tex]
[tex]k * 42 = 28[/tex]
Make k the subject
[tex]k = \frac{28}{42}[/tex]
[tex]k = \frac{2}{3}[/tex]
Solving (b): Reproduce ABCD at scale factor of [tex]\frac{1}{2}[/tex]
The new rectangle will have the following side lengths.
[tex]AB' = \frac{1}{2} * AB[/tex]
[tex]AB' = \frac{1}{2} * 42[/tex]
[tex]AB' = 21[/tex]
[tex]BC' = \frac{1}{2} * BC[/tex]
[tex]BC' = \frac{1}{2} * 21[/tex]
[tex]BC' = 10.5[/tex]
Related Questions
what is the value of x? Show your work
Answers
Answer:
180-44 = 136
136÷2= 68
x = 68°
Answer:
x = 68°
Step-by-step explanation:
Since the triangle has 2 congruent sides (23) then the triangle is isosceles and the base angles (x) are congruent, then
x = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
what it means for a two dimensional figure to be congruent to another two dimensional figure.
Answers
Answer:
When you have two congruent figures, that means that corresponding sides and corresponding angles are congruent.
Step-by-step explanation:
Answer:
When you have two congruent figures, that means that corresponding sides and corresponding angles are congruent.
Step-by-step explanation:
Solve and give answer in simplest form:
Answers
Answer:
n=48
Step-by-step explanation:
multiply both sides by 4/3.
n = 36(4/3)
divide 36 and 3 by three.
n = 12(4/1)
and you get this:
n = 48
What inequality describes the solutions of 2y < 87
Answers
lope harvested 163.5 kilos of pomelos while marcon harvested 362.75 kilos of pomelo from their farm who harvested more pomelos? by how much more
Answers
Answer:
Marcon and 199.25 kilos
Step-by-step explanation:
According to the given situation
As we can see that Marcon has more pomelos harvested as he contains 362.75 kilos while lope harvested 163.5 kilos of pomelos
Also the difference between them is
= 362.75 - 163.5
= 199.25 kilos
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
Answer:
251.33
Step-by-step explanation:
Answer:
251.2 cm square
Step-by-step explanation:
Diameter = 8 cm
Height = 5 cm
8 / 2 = 4
Radius = 4 cm
r^2 * Pi
4 * 4 = 16
16 * Pi = 50.2654824574
16 x 3.14 = 50.24
Base x Height
50.2654824574 x 5 = 251.327412287
50.24 x 5 = 251.2 cm square
WILL GIVE BRAINLIEST IF CORRECT
Answers
Answer:
16 (D)
Step-by-step explanation:
(-1/2) = -0.5
-0.5^-4 = 16
Answer:
Step-by-step explanation:
PLZ HELP IM DOING A TEST Which of the following is the correct definition of an integer?
A
All rational numbers on a number line.
B
All positive and negative whole numbers on a number line
C
All positive and negative whole numbers on a number line including zero.
D
All positive and negative numbers on a number line.
Answers
Answer:
D
Step-by-step explanation:
Answer:
C
All positive and negative whole numbers on a number line including zero.
Which glide reflection describes the mapping ABC→DEF?
A) (x, y) → (X, Y - 6) and reflected across x = 0
B) (x, y) → (X, Y - 6) and reflected across y = 0 C) (x, y) → (X, Y - 6) and reflected across x= -1 D) (x,y) → (X - 2, Y) and reflected across x= -1
Answers
Answer:
Step-by-step explanation:
The answer is (A).
y-axis is x = 0
(┛◉Д◉)┛彡┻━┻
I need help again.....
please someone help me
Answers
Answer:
8: 79
9: 42 (I was doing it in my head it probably no correct)
10: 183
11: 750
12: 92
13: i don't know sorry
Step-by-step explanation:
I can't promise that all are going to be correct, but hopefully it's helpful because I am in 6th grade but am in high school math.
help!!!! please & thank you! look at my most recent question too if you can! :)
Answers
Answer:
m<Q = 35
m<R = 19
m<S = 126
This is an OBTUSE triangle because there's one obtuse angle
Step-by-step explanation:
4x - 17 + x + 6 + 10x - 4 = 180
15x - 15 = 180
15x = 195
x = 13
<Q:
4x - 17
4(13) - 17
35
<R:
x + 6
13 + 6
19
<S:
10x - 4
10(13) - 4
126
could someone please help me with part b ?
Answers
Answer:
The answer is c, C=1.5w + 5
Step-by-step explanation:
Let's write a general equation first,
C = mw + b, where C represents the shipping cost, w is the weight, m and b are non-zero constants.
By using the set of data in the table, what we can do is to substitute the corresponding values into our general equation. [Use any 2 set of numbers]
11 = 4w + b --(1)
17 = 8w + b --(2)
Here we got 2 equations, 2 unknown, thus we can get
w = 3/2, b = 5
The answer is c, C=1.5w + 5
[Noted that if you already got the slope(the yellow words), you can simply substitute one set of numbers into C=1.5w + b to find the value of b]
Which value for S makes the equation true?
Answers
what is the function rule
Answers
Answer:
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.
Step-by-step explanation:
Answer: The Function Rule is Y= 5x-3
Hopes that helps
can someone answer and explain this to me??? thanks!!!!!!!!!!!
Answers
9514 1404 393
Answer:
(f◦g)(x) = x
Step-by-step explanation:
The composition (f◦g)(x) means f(g(x)). As with any function evaluation, put the argument where the variable is, and simplify.
[tex](f\circ g)(x)=f(g(x))=f\left(\dfrac{3x}{x-1}\right)=\dfrac{\left(\dfrac{3x}{x-1}\right)}{\left(\dfrac{3x}{x-1}\right)-3}\\\\=\dfrac{\left(\dfrac{3x}{x-1}\right)}{\left(\dfrac{3x-3(x-1)}{x-1}\right)}=\dfrac{3x}{3x-3x+3}=\dfrac{3x}{3}\\\\\boxed{(f\circ g)(x)=x}[/tex]
Wireless Phone Company A charges $20 fee plus $0.12 per minute. Wireless Phone Company B charges $50 fee plus $0.06 per
minute. For how many minutes of calling time will the monthly bills be the same?
O 250 minutes
80 minutes
100 minutes
500 minutes
Answers
la velocidad máxima a la que se puede circular en una carretera es el 40 Mi/h ¿cual sería el límite de velocidad en km/h ?
Answers
Answer:
El limite de velocidad es [tex]64.37\frac{km}{h}[/tex]
Step-by-step explanation:
Para determinar el limite de velocidad en unidades de km/h es necesario hacer una conversión, esto se puede lograr al aplicar una sencilla regla de tres:
[tex]40\frac{Mi}{h} . \frac{1.6093km}{1Mi}[/tex] ⇒ [tex]64.37\frac{Mi.km}{h.Mi}[/tex] ⇒ [tex]64.37\frac{km}{h}[/tex]
Nota que para poder hacer la conversión es necesario saber a cuanto equivale 1 milla en kilometros (1Mi = 1.6093 km).
Por lo tanto, el limite de velocidad es de [tex]64.37\frac{km}{h}[/tex]
60°
16
Find the value of x and y.
Answers
Answer:
your answer will be option B
Step-by-step explanation:
have a nice day
( – 10+8)( – 10+10) what is the answer i need help
Answers
Answer:
its -40 your welcome.....
Omarie picked x amount of apples, took a break, and then picked v more. Write the expression that models the total number of apples Omarie picked.
Answers
Answer:
x+v
Step-by-step explanation:
i hope this halps =3
brainliest?
3. The length of a rectangular picture frame is 16 inches, and the width of the picture frame is
12 inches. What is the length of a diagonal of this picture frame in inches?
+/-
Answers
Answer:
20inches
Step-by-step explanation:
The length of the diagonal is gotten by using the pythagoras theorem as shown;
l^2 = h^2 + w^2
l is the length of diagonal
h is the height
w is the width
l^2 - 16^2 + 12^2
l^2 = 256 + 144
l^2 = 400
l = √400
l = 20in
Hence the length of a diagonal of this picture frame in inches is 20inches
Plzzz helppp!!
Which equation is equivalent to 3/5 = 17 2/5 divided by h
Answers
The correct expression will be ( 3 + 9) = ( 87 ÷ h ) + 9. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3 / 5 = 17²/₅ ÷ h. The expression will be solved as below,
3 / 5 = 17²/₅ ÷ h
3/5 = 87 / 5 ÷ h
h = 87 / 3
h = 29
Check option C for the value of h = 29.
3 + 9 = ( 87 / h ) = 9
3 = 87 / h
h = 87 / 3 = 29
Hence. the correct option is C.
To know more about an expression follow
https://brainly.com/question/25968875
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Im timed please help me
Answers
Answer:
192 cubic inches
Step-by-step explanation:
4(9x^2)/4x^2 simplified
Answers
Answer:
[tex]9[/tex]
Step-by-step explanation:
1) Cancle x².
[tex]4 \times \frac{9}{4} [/tex]
2) Cancle 4.
[tex]9[/tex]
Therefor, the answer is 9.
Answer:
Step-by-step explanation:
[tex]\frac{4(9x^2)}{4x^2}\\ \\ \frac{36x^2}{4x^2}\\ \\ \text{Divide the numerator and denominator by }4x^2\\ \\ 9[/tex]
The volume of a square pyramid is 6 cubic inches, and its height is one more than two times the length of its base. What is the length of the pyramid's base? A) 2 feet B) 4 feet C)6 feet D)8 feet
Answers
Answer:jjjjjj
Step-by-step explanation:
Write an equation in point-slope form for the line that has the given slope m and that passes through the given point. m = −2; (0, 1)
Answers
Answer:
[tex]y - 1 = -2x[/tex]
Step-by-step explanation:
The Point slope formula is [tex]y - y_{1} = m(x-x_{1})[/tex]
To solve, just plug in the values:
[tex]y-1 = -2(x-0)\\y - 1 = -2x[/tex]
Answer:
y - 1 = -2x
Step-by-step explanation:
point-slope form is: y - y1 = m(x - x1) so with what is given:
y - 1 = -2(x)
A student makes conical candles using a mold with a radius of 4 inches and a height of
6 inches. How many complete molds will the student fill if there are 450 cubic inches of liquid wax? (Use 3.14 as an approximation of pi.)
Answers
Answer:
4 candles
Step-by-step explanation:
One candle shaped lime a cone has a volume of 100.53
Solve the equation for the value of the variable. 24 = 6m
Answers
Answer:
4
Step-by-step explanation:
24 = 6m
24 / 6 = 6 / 6 m
4 = m
The required solution to the given equation is m = 4 for the variable m.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows:
24 = 6m
We have to solve the equation for the value of the variable.
As per the question, we have
⇒ 24 = 6m
Divided by 6 into both sides of the above equation, and solve for the value of the variable m,
⇒ 24 / 6 = 6m / 6
⇒ 4 = m
⇒ m = 4
Thus, the required solution to the given equation is m = 4.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ6
PLEASE HELP!! Find the value of x.
Answers
Answer:
choice 1) x = 4
Step-by-step explanation:
∠2 = ∠6
4x+44 = 6x+36
reduce:
2x = 8
x = 4
someone help :))))!!