OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is the scale factor of enlargement.
Answers
Answer:
(D) 2
Step-by-step explanation:
The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC
Therefore, we have;
[tex]The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}[/tex]
[tex]\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2[/tex]
[tex]\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2[/tex]
[tex]\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2[/tex]
Therefore, the scale factor = 2
Related Questions
There are 50 teenagers at a swim meet. The ratio of locals to out-of-town
participants is 2:3. How many teenagers travelled from out-of-town to the swim
meet?
Answers
Answer:
There are 30 out of towners
Step-by-step explanation:
locals: out of town: total
2 3 2+3 = 5
There are 50 total 50/5 =10 so multiply each term by 10
locals: out of town: total
2*10 3 *10 5*10
20 30 50
There are 30 out of towners
Total teenagers = 50
Ratio = 2:3
Let the ratio people out of town be x
2x + 3x = 50
5x = 50
x = 10
Therefore 3× 10, 30 people out of town travelled to swim meet
Must click thanks and mark brainliest
For a line that contains the point (3, 4) and has a slope of 4, please name another point on this line. Show the work you did to find this answer.
Answers
Answer:
y = 4x - 8
Step-by-step explanation:
y = 4x + b
4 = 4(3) + b
4 = 12 + b
-8 = b
Write the Roman numeral CLXXIX in standard form.
Answers
179 is the answer
hope it helps
Answer:
179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1
Step-by-step explanation:
Numbers close to CLXXIX
Below are the numbers CLXXVI through CLXXXII, which are close to CLXXIX. The right column shows how each roman numeral adds up to the total.
176 = CLXXVI = 100 + 50 + 10 + 10 + 5 + 1
177 = CLXXVII = 100 + 50 + 10 + 10 + 5 + 1 + 1
178 = CLXXVIII = 100 + 50 + 10 + 10 + 5 + 1 + 1 + 1
179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1
180 = CLXXX = 100 + 50 + 10 + 10 + 10
181 = CLXXXI = 100 + 50 + 10 + 10 + 10 + 1
182 = CLXXXII = 100 + 50 + 10 + 10 + 10 + 1 + 1
Symbol Value
I 1
V 5
X 10
L 50
C 100
D 500
M 1000
I hope this helps.
Factor the expression completely.
-20% -40
A. -20(x-2)
B. -10(2x - 10)
C.-20(x + 2)
D. -10(2x + 10)
Answers
Answer:
C.-20(X+2)
Step-by-step explanation:
I think you wrote -20% by mistake instead of -20x
HELP ASAP!!
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
A. 1/3
B. 3
c. 1/4
D. 4
Answers
Answer:
Step-by-step explanation:
I'm pretty sure its b
Can someone help me with this I don't understand find TAN
Answers
Answer:
Tan X = 14/48 = 7/24
Answered by GAUTHMATH
Answer:
7/24
Step-by-step explanation:
tan(x) is the ratio of the opposite leg to the adjacent leg. The opposite leg of x's measure is 14, and the adjacent leg to x has a measure of 48. (It's not 50 since 50 is opposite the right angle, meaning that it's the hypotenuse.)
14 / 48 = 7 / 24. Simplest form is 7/24.
insert 3 rational no. between 4/13 and 1/13
Answers
Answer:
2/13,3/13,4/13....
hope it helps
Answer:
Step-by-step explanation:
4/13=40/130
1/13=10/130
numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.
we can select any three out of these.
Enter the ratio as a fraction: 6ft to 10 inches
Answers
Answer:
6 feet to 10 inches
6 ft : 10 inches
There are 12 inches in a foot, so we have:
72 inches : 10 inches
36 inches : 5 inches
36:5
So the ratio is 36/5
Let me know if this helps!
c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution: of too numbers
Answers
Their LCM is
70
hope it helps you.
Answer:
Their L.C.M IS
70....
IT IS YOUR ANSWER
The diagram above shows a plan for a park. ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.
Answers
Answer:
Perimeter of the park = 70 cm
Step-by-step explanation:
Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)
Perimeter = 2πr + 2(BC)
✔️Perimeter of the 2 semicircles = 2πr
Where,
radius (r) = ½(AB) = ½(7)
r = 3.5 cm
Perimeter = 2*π*3.5 = 7*π
Perimeter of the two semicircles = 21.9911486 ≈ 22 cm
✔️Find BC using Pythagorean theorem:
Thus,
BC = √(AC² - AB²)
AC = 25
AB = 7
BC = √(25² - 7²) = √576
BC = 24
✔️Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)
Perimeter of the park = 22 + 2(24)
= 22 + 48
= 70 cm
NEED HELP ASAP
Given the parent functions f(x) = 3x + 2 and g(x) = 5x – 10, what is g(x) – f(x)?
Answers
Answer:
2x - 12
Step-by-step explanation:
that is the procedure above
using trig to solve for missing angle
Answers
15cos(30)=x
Cos= adjacent/ hypotenuse
Find the length of y. Assume the triangles are similar.\
A. 3.6
B. 3.2
C. 3.9
D. 3.4
Answers
6,3:y=4,2:2,4
y=3,6
Chọn a
answer
answer
asap
pls
Answers
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
An integer can be written as a fraction by giving it a denominator of one
39 3,822 Whats the answer
Answers
Answer:
The answer is 98
Step-by-step explanation:
Can I get branly plz and hope this help
Graph
y = 3x^2.
Please thanks
Answers
Answer:
The image of the graph is below.
Step-by-step explanation:
PLEASE I REALLY CAN'T THINK OF ANYTHING ELSE
list 2 differences between y = sin x and y = cos x
Answers
Answer:
- sin(x) is the ratio of the opposite leg to the hypotenuse in a right triangle, while cos(x) is the ratio of the adjacent leg to the hypotenuse in a right triangle.
-The graph of y = sin(x) at x = 0 starts at the origin, and then increases, while the graph of y = cos(x) starts at a max, and then decreases.
Here's a 3rd: sin(x) is the cofunction of cos(x), which means that sin(x) = cos(90-x). This also shows that they are different.
factorise (x+1)^2 + 4(x+1)
Answers
Answer:
(x + 1)(x + 5)
Step-by-step explanation:
Given
(x + 1)² + 4(x + 1) ← factor out (x + 1) from each term
= (x + 1)(x + 1 + 4)
= (x + 1)x + 5)
shopkeeper gains rs540by selling some fruit but loses rs 612 by selling some vegetables. find the profit or loss
Answers
Answer:
sorry i dont know.......
Answer:
Loss = R.s. 72
Step-by-step explanation:
You can see in picture
Request : Please mark it brainliest answer
32% of 300 is what number?
Answers
Answer: 96
Step-by-step explanation:
This equation helps
X / 100 = is / of
32/100 = X / 300 (cross multiplication)
32 times 300, divided by 100
= 96
Answer:
96
Step-by-step explanation:
every percent is out of hundred so (32 * 300)/100 = 96
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown
f. If a pencil is picked at random, what is the probability that the pencil will be red or green or orange?
g. If a pencil is picked at random, what is the probability that the pencil will
NOT be orange?
'h. If a pencil is picked at random, what is the probability that the pencil will
NOT be blue or red?
Answers
Answer:
Step-by-step explanation:
F. 5/7 chance
G. 9/14 chance
H. You did not mention a blue color in the question.
Answer:
g) a) 11/14
f) 9/14
h) 12/14
Step-by-step explanation:
Probability is just the amount of the specified object over the total amount of objects.
Amount of Red : 2
Amount of Orange: 5
Amount of Green: 3
Amount of Brown: 4
Total: 14
*Formula: (Specified Object)/(Total)*
F) Chances of Red or Orange or Green
=(2+5+4)/14
=11/14
G) NOT be orange
*Formula: (Total)-(Specified)/(Total)*
=(14-5)/14
=9/14
H) NOT blue or red
*Formula: (Total)-(Specified)/(Total)*
=14-(2+0) (*There is a 0 there because the question asked to solve for blue pencils as well, and there are 0 blue pencils*)
= 12/14
Please help with this on the picture
Answers
a) 81
b) 16,807
c) 100
d) 78125
Step-by-step explanation:
a)
3^2 x 3^2
Step 1. Simplify the exponents
3^2 = 3 x 3 = 9
Step 2. Multiply
9 x 9 = 81
••••••••••••••••••••••••••••••••
b)
7 x 7^4
Step 1. Simplify the exponent
7^4 = 7 x 7 x 7 x 7 = 2401
Step 2. Multiply
7 x 2401 = 16,807
••••••••••••••••••••••••••••••••
c)
10^9 divided by 10^7
Step 1. Simplify the exponents
10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000
10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
Step 2. Divide
1000000000 divided by 10000000 = 100
••••••••••••••••••••••••••••••••
d)
5^8 divided by 5
Step 1. Simplify the exponent
5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625
Step 2. Divide
390625 divided by 5 = 78125
Help Fast! I will rate
Answers
Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.
Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.
Find the missing value.
Hint: Use the number line to find the missing value.
-(-7)=5
{ #
-15
→
15
-10
-5
0
5
10
Answers
Answer:
= -2
Step-by-step explanation:
-2 -(-7)
= 5
I hope this Helps!HELP PLSSS. Combine these radicals. - 12sqrt(12) - 2sqrt(3) O - 50sqrt(3); - 22sqrt(3); - 26sqrt(3); - 10sqrt(12)
Answers
The combined radical is: [tex]- 26\sqrt{3}[/tex]
The radical is given as:
[tex]- 12\sqrt{12} - 2\sqrt{3}[/tex]
We start by expressing 12 as 4 * 3
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}[/tex]
Split the radical
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}[/tex]
Take square root of 4
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}[/tex]
Combine like terms
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}[/tex]
Hence, the combined radical is: [tex]- 26\sqrt{3}[/tex]
Read more about surd radicals at:
https://brainly.com/question/14923091
simplify (b^4)^3 because the nun of the answers answer my question
Answers
Answer:
b^12
Step-by-step explanation:
(b^4)^3
We know that x^y^z = x^(y*z)
b^4^3 = b^*4*3) = b^12
evaluate the following 3^2 divided by (2+1)
Answers
Answer:
God bless you
i don't have nice handwriting
Is it ok if you help me solve this?
Answers
Answer:
For it to be parallel the answer is B (3)
Answer:
B) 3
Explanation:
If two lines are parallel that means that their equations have the same value of slope.
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]
Answers
Answer:
y = 4x - 3
Step-by-step explanation:
A parallel line will have the same slope so the slope will remain 4. To fine the new y-intercept, we can substitite the point we are given.
1 = 4(1) + b
1 = 4 + b
-3 = b
Now, we can create the new equation with the information we found.
y = 4x - 3
Best of Luck!
Answer: y = 4x - 3
Step-by-step explanation:
y-y=m(x-x)
y-1=4(x-1)
y-1=4x-4
y=4x-3
square root of 3x^4 times square root of 5x^2 times square root of 10.
Multiply and remove all perfect squares from inside the square roots. Assume x is positive.
Answers
Answer:
[tex]5x^3\sqrt{6}[/tex]
Step-by-step explanation:
We need to simplify
[tex]\sqrt{3x^4}\times\sqrt{5x^2}\times\sqrt{10}[/tex]
Right away we can take out the perfect squares. Remember a perfect square is the result of multiplying any value by itself.
[tex]= x^2\sqrt{3}\times x\sqrt{5}\times\sqrt{10} \\= x^3\sqrt{3\times 5 \times 10}\\= x^3\sqrt{3 \times 5 \times 5 \times 2 }\\= 5x^3\sqrt{6}[/tex]
The square root of 3x⁴ times square root of 5x² times square root of 10, the product of all the term is, 5x³ [tex]\sqrt{6}[/tex]
What is square root?In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.
if 'a' is square root of 'b' then it will represent as, a = √b.
Given that,
three terms,
[tex]\sqrt3{x^{4} }[/tex]
[tex]\sqrt{5x^{2} }[/tex]
[tex]\sqrt{10}[/tex]
by multiplying all the three terms,
⇒ [tex]\sqrt3{x^{4} }[/tex] × [tex]\sqrt{5x^{2} }[/tex] × [tex]\sqrt10} }[/tex]
⇒ √(3x⁴×5x²10)
⇒ √ 150x⁶
⇒ 5x³ [tex]\sqrt{6}[/tex]
Hence, the product is 5x³ [tex]\sqrt{6}[/tex]
To know more about square root check:
https://brainly.com/question/29286039
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