Answer:
Reflection
Step-by-step explanation:
A rotation would be to rotate a figure around the origin
A reflection would be to reflect the figure around one of the axes.
A translation would be to move a figure a certain amount of units.
Since A and A' are 2 units away from the y-axis, and C, B, B', and C' are all one unit away from the y-axis, this could not be a translation because the position of A'B'C' is not the same position of ABC.
It could not be a rotation around the origin or any point because it would result the figure in either Quadrant 2 or 3, and in the one occasion it would be in Quadrant 1, the figure cannot be in that position.
This reveals only one option, that which is a reflection. A reflection about the x-axis would not make sense, since it would result in Quadrant 3, so a reflection around the y-axis would make the most sense.
The data we have above also accounts for a reflection, since all points are a certain distant away from the y-axis.
The circumference of a circle is 16πw⁴.
Derive an expression for the area in terms of pi and w
Answer:
A = Pi (8 w**4)**2
Step-by-step explanation:
C = 16 Pi w**4 (given)
C = 2 Pi R (stand forula)
So then find R in terms of w by settting C = C from above
2 Pi r = 16 Pi w**4
2R = 16 w**4
R = 8 w**4
SO
A = Pi R**2
A = Pi (8 w**4)**2
simplify : 5y-2y+4=10
Answer:
[tex]3y = 6,=> y=2[/tex]
Step-by-step explanai
on:
What is the value of x in the diagram below?
X + 2
8.
х
Answer:
15
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +8^2=(x+2)^2[/tex]
we can simplify 8 squared to 64, and we can use FOIL to expand x plus 2 squared.
[tex](x+2)(x+2)=x^2+4x+4[/tex]
We have
[tex]x^2+64=x^2+4x+4[/tex]
We can subtract x squared plus four from both sides to get
[tex]60=4x[/tex]
Dividing by 4, we get [tex]x=15[/tex]
Answer:x=15
Step-by-step explanation:
remember the Pythagorean Theraum(sorry about spelling)
a^2 +b^2=c^2
the shortest is a^2 , b^2 is the second shortest, and c^2 is the hypotenuse, or the longest.
currently the hypotenuse (c^2)is x+2, (b^2) is x, and a^2 is 8
8x8=64
64+x^2=(x+2)^2
try solving it now.
64+15^2=(15+2)^2
289=289
So, x=15
in triangel abc line segmemt cd is an altitude, such that ad=bc. find ac if ab=3cm and cd =sqrt2
Answer:
√7
Step-by-step explanation:
Let :
AC = x
BD = y ; AD = 3 - y
Since, AD = BC
Then BC = 3 - y
Taking △BDC a d applying Pythagoras
Hypotenus² = opposite² + adjacent²
BC² = CD² + BD²
(3 - y)² = (√3)² + y²
9 - 6y + y² = 3 + y²
-6y + y² - y² = 3 - 9
-6y = - 6
y = 1
AD = 3 - y ; AD = 3 - 1 = 2
Taking △ADC
AC² = CD² + AD²
AC² = (√3)² + 2²
AC² = 3 + 4
AC² = 7
AC = √7
Last one, So so sorry!
Which net diagram cannot be folded into a triangular pyramid?
A.
B
C
D
Answer:
all diagram can be folded into triangular pyramid.
The sum of two integers equals twelve, while their product equals thirty-five. Which two numbers are they?
Answer: 5 and 7
Step-by-step explanation:
Given
Sum of the integers is 12
Product of the integers is 35
Suppose the integers are [tex]x[/tex] and [tex]y[/tex]
[tex]\Rightarrow x+y=12\\\\\Rightarrow y=12-x\\\Rightarrow xy=35\\\text{Substitute y}\\\Rightarrow x(12-x)=35\\\Rightarrow 12x-x^2=35\\\Rightarrow x^2-12x+35=0\\\Rightarrow x^2-7x-5x+35=0\\\Rightarrow (x-7)(x-5)=0\\\Rightarrow x=5\ or\ 7[/tex]
[tex]\therefore \text{y can be }7\ or\ 5[/tex]
Hence, the numbers are 5 and 7.
In the morning, the temperature was 15 degree F. During the day, the temperature fell 37 degrees. Which expression shows how to find the temperature at the end of the day
Answer:
15-37 or -37+15
Step-by-step explanation:
Which equation shows the volume of the rectangular prism as a product of its edge lengths?
Answer:
Top right option
Step-by-step explanation:
multiplying the digits, you get the volume, which is 3/4
Answered by GAUTHMATH
use trigonometry to find the unknown side (round to 1 decimal)
Answer:
a = 7.5
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2a = 15 ( divide both sides by 2 )
a = 7.5
Write a function rule for the table. (Help please)
is it a,b,c or d
Are the triangles similar? If so, what postulate or theorem proves
their similarity?
O No, the triangles are not similar
Yes, by AA Similarity Postulate
O Yes, by SSS Similarity Theorem
O Yes, by SAS Similarity Theorem
Answer:
Yes, by SSS Similarity Theorem
Step-by-step explanation:
the triangles are similar because the sides are proportional, the common ratio is 1.5.
if you look at the corresponding sides of the triangle and multiply 1.5 to the smaller triangle measurements, you get the bigger triangle's corresponding measurements:
3 * 1.5 = 4
4 * 1.5 = 6
6 * 1.5 = 9
Yes the triangle are similar by SSS Similarity Theorem.
What is Similarity?Triangles' similarity can be characterized based on their attributes.
If two triangles are similar,
(I) their respective angles are equal, and
(ii) their corresponding sides have the same proportion (or proportion
We have two triangles.
From the triangle we can write
AB / ED = 4/ 6 = 2/3
and, AC / FD = 6 / 9 = 2/3
and, BC / EF = 3 / 4.5 = 30 /45 = 2/3
Thus, AB / ED = AC / FD = BC / EF = 2/3
By SSS Similarity Criteria triangles are similar.
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i need help plsssssssss
Answer:
are you look for finaincl loan
Step-by-step explanation:
Can anyone explain this step-by-step?
4(10x - 20) = 2,000
Answer: x = 52
Step-by-step explanation:
You'd first deal with the 4 outside the parentheses, multiplying 10x-20 by 4. This would result in 40x - 80 = 200.
You'd then further isolate x, adding 80 on both sides, resulting in 40x = 2080. Divide by 40 on both sides and You'd get your answer of x = 52.
Elproducto de dos numeros es 880 si el multiplicando aumenta en 20 elproducto lo hace en 260 de como respuetsa la suma de ambos numeros
Answer:
[tex]\text {La} \, \text { suma }\, \text {de} \ \text {ambos} \, \text { numeros} \, \text { es }\ 80\dfrac{9}{13}[/tex]
Step-by-step explanation:
Los parámetros dados son;
El producto de los dos números = 880
El producto del multiplicando aumentó por 20 y el otro número = 260 + el producto inicial, 880
Dejemos que x represente el multiplicando, y que y represente el otro número, tenemos;
x × y = 880
(x + 20) × y = 880 + 260
Tenemos;
(x + 20) × y = x × y + 20 × y = 880 + 260
∴ 20 × y = 260
y = 260/20 = 13
y = 13
x = 880 / y
∴ x = 880/13
La suma de ambos números = x + y = 13 + 880/13 = 1049/13 = [tex]80\dfrac{9}{13}[/tex]
In the diagram, what is the measure of angle 1 to the nearest degree?
33 degrees
55 degrees
75 degrees
105 degrees
Answer:
75 degrees
Step-by-step explanation:
From the first part of the diagram,
vertically opposite angles are equal,
hence we have
125° + (4x-5)° + 125° + (4x-5)° = 360°
(Angles about a point equals 360°)
4x – 5 + 4x – 5 + 125 + 125 = 360
8x + 250 – 10 = 360
8x = 360–250 + 10
8x = 120
x = 15°
Now we have (5x)° in the second part.
5x = 5 × 15 = 75°
1 is vertically opposite to angle 75°
hence it is equal to 75 degrees.
Answer:75
Step-by-step explanation:
18+17+16+15+14+13+12+11+10 what is the answer
Which of the following represents the set of possible rational routes for the polynomial shown below
2x^3+5x^2-8x-10=0
Answer:
The given polynomial is,
2x³+5x²-8x-10=0
all possible roots of a polynomial,
ax³+b²+c x +d=0 ← all possible factors of ration (d/a)
Therefore, eq (1), all possible factors are the factors of ratio (-10/2)
which are, B) { ± 1, 1/2, ± 2, ± 5/2, ±5, ± 10}
OAmalOHopeO
Which expression is the simplified form of -10 + 3x - x - 7x + 5x + 7 + 2x?
A. 4x-3
B. 2x - 3
C. -18x - 17
D. -X
Answer:
B
Step-by-step explanation:
-10 + 3x - x - 7x + 5x + 7 + 2x
combine like terms
-10 + 3x - x - 7x + 5x + 7 + 2x
-3 + 3x - x - 7x + 5x + 2x
the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x
= 2x - 3
I WILL BE CHOOSING THE BRAINLIEST! PLEASE HELP ME!
What are different types of tools to find sides or angles in triangles. List and explain the conditions in which they are best applied.
(For example, the Pythagorean Theorem is particularly useful when there is a right triangle and two known sides and the third side is unknown.)
Answer:
If the triangle is similar by any axiom then the ratio of their sides will be equal then you can easily find the side of the triangle
OR
You can also find it by congurency.
Hope this helps
What is 150% of 90?
please explain.
Answer: 135
Step-by-step explanation: Write 150% as 150/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 150/100 of 90= 150/100 X 90
Therefore, the answer is 135
If you are using a calculator, enter 150÷100×90 which will give you 135 as the answer.
150 percentage of 90 is 135 which we obtained by multiplying 1.5 with 90.
"Percent" means "per hundred," so when we say "150%," it means 150 per hundred or 150 out of 100.
To find 150% of 90, we can use the following formula:
150% of 90 = (150/100) × 90
Convert 150% to a decimal.
To do this, divide 150 by 100:
150/100 = 1.5
Multiply the decimal value by 90:
1.5 × 90
= 135
So, 150% of 90 is 135 which means that 135 is 150% of 90, which is equivalent to saying that 135 is 1.5 times larger than 90.
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Find derivative of 3x^2+4 using limits
The derivative of a function f(x) is defined as
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]
For f(x) = 3x ² + 4, we have
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x+h)^2+4) - (3x^2+4)}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x^2+2xh+h^2) - 3x^2}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{6xh+3h^2}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}(6x+3h) = \boxed{6x}[/tex]
Jennifer invested $379 in a simple interest account. The account now has $554 in it. The money has been invested for 5 years. What interest rate (as a percentage) did this account have?
9514 1404 393
Answer:
9.23%
Step-by-step explanation:
The account balance for simple interest is given by ...
A = P(1 +rt) . . . . . principal P invested for t years at rate r
554 = 379(1 +r·5)
554 = 379 + 1895r . . . . eliminate parentheses
175 = 1895r . . . . . . . . . subtract 379
r = 175/1895 ≈ 0.092348 ≈ 9.23%
Jennifer's account had an interest rate of about 9.23%.
hlpppppppppppppppppppppppppppppppp
Answer:
c
Step-by-step explanation:
-7.5 is less than 6.5
order the following radicals from the least to greatest without using a calculator. show your reasoning
[tex]2 \sqrt{6} [/tex]
[tex]5 \sqrt{10} [/tex]
[tex]4 \sqrt{2} [/tex]
[tex]3 \sqrt{3} [/tex]
Answer:
2*sqrt6 = 2*apprx2 = 4
5*sqrt10 = 5*3.1 = 15.5
4*sqrt2 = 4*1.4 = 6.4
3*sqrt3 = 3*1.7 = 5.1
4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10
Pls help me with this question ASAP
Answer:
8
Step-by-step explanation:
(3+5)^2/8=(8)^2/8=64/8=8
Answer: 8
Step-by-step explanation:
(3+5)^2/8=
(8)^2/8=
64/8=
8
Antonia and Aleena both bought a book that cost £3.50 each. How much change did they get from £10.00?
£6.50
£2.00
£3.00
Answer:
They got 3.00 back
Step-by-step explanation:
Since they both bought a book it means you have to double the price of one book.
3.50+3.50=7.00
Then since you are looking for the difference of 10.00 you would subtract it.
10.00-7.00=3.00
Can anyone plz solve this question step by step ASAP!
Answer:
40√3 cm²Step-by-step explanation:
Step 1
Find the height:
h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3Step 2
Find the area:
A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²
If you roll a number cube 96 times, how many times would you expect to roll a prime number?
We can expect to roll a prime number 48 times.
Theoretically, when you roll a number cube all the possible numbers have the same probability, 1/6.
We know that the numbers in a number cube are {1, 2, 3, 4, 5, 6}
Of these, the primes are: 2, 3, and 5.
So half of the outcomes of a number cube are primes.
This means that, in every single roll, the probability of getting a prime number is 1/2. (1/6 + 1/6 + 1/6 = 3/6 = 1/2)
Then for 96 rolls, we should expect to see in half of these a prime number as an outcome.
This means that we should expect to roll a prime number 96/2 = 48 times.
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You should expect to roll a prime number 64 times.
To determine, if you roll a number cube 96 times, how many times would you expect to roll a prime number, the following calculation must be performed, knowing that the prime numbers are those that can only be divided by 1 or by themselves:
A cube has 6 sides. Therefore, the numbers in the cube will be 1, 2, 3, 4, 5 and 6. Of these numbers, only 4 and 6 are not prime, since 4 is divisible by 2 and 6 is divisible by 2 and 3.
Therefore, 4/6 numbers are prime, that is, 66.66% of the numbers in the cube.
Therefore, if you roll a number cube 96 times, since 96 x 4/6 equals 64, you should expect to roll a prime number 64 times.
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whats the figures and how do I find the area?
Answer:
This is trapezium.
Area of this figure =1/2h(d1-d2)
1/2×5(14-8)
=30/2
=15cm^2
Hay 31 estudiantes en una clase. Ocho (8) estudiantes miden más de 6 pies de altura. Diecisiete (17) estudiantes miden 5-6 "a 6'-0" de altura. Seis (6) estudiantes miden menos de 5-2". ¿Cuál es la razón entre el número de estudiantes de menos de 5'-2" y el número de estudiantes de más de 6 'de altura?
Answer:
4/3
Step-by-step explanation: