An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.
Answers
Answer:
Option given in the top right.
Step-by-step explanation:
If an acute triangle is rotated about a point,
- Angles of the transformed triangle remain unchanged.
If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],
- Measure of sides of the image will be dilated by a scale factor of 0.5.
Therefore, statement that compares ΔABC to ΔA'B'C' will be,
The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.
Option given in the top right is the answer.
Related Questions
2(-n -3) - 7(5+2n)
Simplify to create an equivalent expression
Answers
[tex]\text{Simplify:}\\\\2(-n -3) - 7(5+2n)\\\\\text{Use the distributive property}\\\\-2n-6-35-14n\\\\\text{Combine like terms}\\\\-2n-6-35-14n\\\\-16n-6-35\\\\\boxed{-16n-41}[/tex]
The volume of an oblique pyramid with a square base is V units3 and the height is h units.
An oblique pyramid with a square base has a volume of V units cubed and a height of h units.
Which expression represents the area of the base of the pyramid?
StartFraction 3 V Over h EndFraction units2
(3V – h) units2
(V – 3h) units2
StartFraction V Over 3 h EndFraction units2
Answers
Answer:
StartFraction 3 V Over h EndFraction units2Step-by-step explanation:
volume of an oblique square pyramid V = 1/3 * b * H where;
b is the base area of the pyramid
H is the height of the pyramid
To determine the expression that represents area of the base of the pyramid, we will make the variable 'b' the subject of the formula from
V = 1/3 bH
[tex]V=\frac{bH}{3}[/tex]
Cross multiplying we have;
[tex]3V = bH\\[/tex]
Dividing both sides by H we have;
[tex]\frac{3V}{H} = \frac{bH}{H} \\b = \frac{3V}{H}units^{2}[/tex]
This gives the correct expression for the base area of the pyramid
Answer:
A.
Step-by-step explanation:
Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?
0.2
0.1
0.8
0.9
Answers
Answer:
0.8
Step-by-step explanation:
what is 2+ 7 11/12 I need help on this one so please someone help me :)
Answers
Answer:
= 119/12
OR
= 9 11/12
Step-by-step explanation:
2 + 7 11/12
= 2 + 95/12
= 2 * 12 + 95/12
= 24 + 95/12
= 119/12 = 9 11/12
Brenda and Jasmine are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of double chocolate cookie dough. Brenda sold 6 packages of chocolate chip cookie dough and 4 packages of double chocolate cookie dough for a total of $86. Jasmine sold 3 packages of chocolate chip cookie dough and 5 packages of double chocolate cookie dough for a total of $85. What is the cost each of one package of chocolate chip cookie dough and one package of double chocolate cookie dough?
Answers
Answer:
one package = $5. / double package= $14
Step-by-step explanation:
Lets say x is a package and y a double package
6x + 4y = $86
2(3x + 5y = $85)
6x + 10y = $170
-6x -4y. -86
6y = $ 84
÷6. ÷6
y= $14
6x +4y = $86
6x + 4($14) = $86
6x + $56 = $86
-56. -56
6x = $30
÷6. ÷6
x = $5
Answer:
chocolate chip = 5
double chocolate chip=14
Step-by-step explanation:
c = chocolate chip
d = double chocolate chip
Brenda
6c+4d = 86
Jasmine
3c+ 5d = 85
Multiply the second equation by -2
-6c -10d = -170
Add this to the first equation
-6c -10d = -170
6c+4d = 86
--------------------
- 6d = -84
Divide by -6
-6d /-6 = -84/-6
d =14
Now we can find c
3c+ 5d = 85
3c+5*14 = 85
3c +70 = 85
Subtract 70
3c = 85-70
3c = 15
Divide by 3
3c/3 = 15/3
c = 5
which number is greater 5 or 1
Answers
Answer:
5
Step-by-step explanation:
5 is greater than 1 because it is further to the right from zero on the number line
Answer:
5 because 5 is a bigger number than 1.
Step-by-step explanation:
5 is bigger by for an example if you have 5 apples vs 1 apple.
5 apples is more right.
A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.
A. 55.26 ft2
B. 50.24 ft2
C. 29.7 ft2
D. 33.6 ft2
Answers
Answer:
B. 50.24ft
Step-by-step explanation:
A=(pie)r^2
A=3.14(4)^2
A=3.14 * 16
A=50.27
Closest to 50.24
if 2x+15= 30
then what is x?
Answers
Answer:
x = 15/2
Step-by-step explanation:
2x + 15 = 30
2x = 15
x = 15/2 or 7.5
Answer:
7.5
Step-by-step explanation:
2x+15=30
2x=30-15
2x=15
x=7.5
In the diagram below, line MN is a diameter of the circle. Find angle XYZ, in degrees.
[asy]
unitsize(2 cm);
pair A, B, C, E, F, O;
O = (0,0);
E = dir(180);
F = dir(0);
A = dir(140);
C = dir(60);
B = extension(A,F,C,E);
draw(Circle((0,0),1));
draw(E--C--O--A--F--cycle);
label("$X$", A, NW);
dot("$Y$", B, N);
label("$Z$", C, NE);
label("$M$", E, W);
label("$N$", F, dir(0));
dot("$O$", O, S);
label("$80^\circ$", dir(30), NE);
label("$35^\circ$", dir(160), W);
[/asy]
Answers
By chasing the angles, angle XYZ works out to 133.5 degrees.
Graph f(x) =
x and g(x) = -1/3x+2
on the same coordinate plane.
Answers
I hope that helps.
The cost of 6 tennis balls in a sports store is $4.60. Wyatt bought 9 tennis balls from the store. What is the cost of 9 tennis balls?
Answers
Answer:
$6.90 is the cost of 9 tennis balls
Mai's younger brother tells her that 10/7 equal to 2‾√ 2 2‾√ 2 . Mai knows this can't be right, because 10/7 is rational and 2‾√ 2 2‾√ 2 is irrational. Write an explanation that Mai could use to convince her brother that 10/7 cannot be the square root of 2.
Answers
Answer:
The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.
On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.
So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).
At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.
I'm a surgery 9 out of 15 students named math as their favorite subject. Express this rate as a decimal
WILL LIST BRANLIEST
Answers
Answer:
0.6
Step-by-step explanation:
9÷15=0.6
12 more than m machines
Answers
Answer:
m+12
Step-by-step explanation:
m+12
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answers
Answer:
Step-by-step explanation:
im confuesd here
If (1)=3 and f(n)=f(n-1)-1 then find the value of f(6)
Answers
Answer:
f(1) = 3
f(n) = f(n-1) - 1
Otherwise,
f(n) = f(1) - (n-1)
=> f(6) = 3 - 5 = -2
Hope this helps!
:)
The price of a shirt was marked up from $24 to $30What is the percent of increase?
Answers
Answer:
25% increase
Step-by-step explanation:
First take the new price and subtract the original price
30-24 = 6
Divide by the original price
6/24 = 1/4 = .25
Change to percent form
25%
The price went up so it is an increase
25% increase
Answ believe 25%er:
Step-by-step explanation:
correct answer gets brainliest
Answers
Answer:
V = 120 cm^3
Step-by-step explanation:
The volume is
V = BH where B is the base and h is the height
The base is the triangle
B = 1/2 (bh)
B = 1/2 6*4
B = 12
V = 12* 10
V = 120 cm^3
What is this answer?
Answers
Answer:
(4,-1)
Step-by-step explanation:
There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.
Answers
Answer:
Step-by-step explanation:
The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5
The four probability is basic probability, compound event, independent and dependent event and the probability line.
I hope it'll help you much
Thank you for asking
A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats.
Answers
Answer:y=2.5 x
Step-by-step explanation:
Given
Cow give 5 gallon of milk if it eats 2 pound of grass
i.e. it gives 2.5 gallon of milk if it eats 1 pound of grass
So we can say cow given 2.5 times of milk in gallon for each pound it eats
If cow eats x pounds of grass then it must yield 2.5 times of milk
Suppose milk is denoted by y
therefore we can write
y=2.5 x
Therefore y=2.5 x represent the relation between grass and milk produced
What is the surface area of the square pyramid?
A net has a square base with side lengths of 2, and 4 triangles with heights of 3.
square units:
Answers
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
The area of the square base is ...
A = s²
A = 2² = 4
The area of each triangle is ...
A = (1/2)bh
A = (1/2)(2)(3) = 3
So, the area of the base and 4 triangles is ...
total area = 4 + 4(3) = 16 . . . square units
Answer:
its 16
Step-by-step explanation:
If 0.75A = 36, what would you do to solve
for A?
Answers
Answer:
you divide 36 by 0.75
Step-by-step explanation:
Answer:
Divide 36/.75
Step-by-step explanation:
You need to isolate A in order to solve the equation.
In the right shown m
Answers
Answer:
Please clarify your question
Step-by-step explanation:
Need help with this question anybody there
Answers
Answer:
Read below
Step-by-step explanation:
I don't know your teacher's name but I know the answer to the other question.
Each additional mile will take a longer time of 2 minutes. Because the miles increase, the time would increase. If you think about it and you work as a pizza deliverer, the time should increase if the number of miles also increases. It's not magic.
Robert works at a car dealership. Each month, he receives a base salary of $1,854.00, plus a commission of $478.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)
Answers
Answer:
y = 478x + 1,854
Step-by-step explanation:
Find the solution set.
x2 + 16x + 64 = 0
Answers
Answer:
(x+8)(x+8)
Step-by-step explanation:
Assuming x2 is x^2
(x+8)(x+8) = x^2 + 16x + 64
Continuation
The Zeros Would Be
x = -8
Rag the operation signs to make the equation true. An operation may be used once. More than once, or not at all × returned to choices list. +−×÷ 12 ( 7 − 4 ) + 5 3 = 19
Answers
Answer:
12/(7-4) + 5 * 3 = 19
Step-by-step explanation:
Given
Untrue Expression: 12 ( 7 − 4 ) + 5 3 = 19
Signs: +−×÷
Required
Use the given signs to make the equation true.
To solve this, the trial and error method will be adopted.
The trial and error method involves trying series of sign combinations in the given expression; whichever works is the right answer.
So, after few attempts the following makes the equation true
12/(7-4) + 5 * 3 = 19
To check if it's true or not; we simply expand the expression on the left hand side. This gives
12/3 + 5 * 3 = 19
4 + 5 * 3 = 19
4 + 15 = 19
19 = 19.
Hence, the sign combinations used in 12/(7-4) + 5 * 3 = 19 is correct.
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?
y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219
Answers
Answer:
A.Step-by-step explanation:
The given table is
Days Bees
0 10,000
10 7,500
20 5,600
30 4,200
40 3,200
50 2,400
Where [tex]x[/tex] represents days and [tex]y[/tex] represents bees.
The exponential function that models this problem must be like
[tex]y=a(1-r)^{x}[/tex], which represenst an exponential decary, because in this case, the number of bees decays.
We nned to use one points, to find the rate of decay. We know that [tex]a=10,000[/tex], because it starts with 10,000 bees.
Let's use the points (10, 7500)
[tex]y=a(1-r)^{x}\\7500=10000(1-r)^{10}[/tex]
Solving for [tex]r[/tex], we have
[tex]\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75[/tex]
Using logarithms, we have
[tex]ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97[/tex]
Replacing all values in the model, we have
[tex]y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}[/tex]
Therefore, the right answer is the first choice, that's the best approximation to this situation.
Answer:
A. y = 9,958(0.972)x
Step-by-step explanation:
Terry is buying water. He needs 22 liters. A half-liter of water costs $2.11. A 200 -milliliter container of water costs $1.01. What should Terry buy so he gets 22 liters at the lowest price?
Answers
Answer: Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
Step-by-step explanation:
Terry is buying water and needs 22 liters. A half-liter of water costs $2.11. Using this information, 22 litres will cost:
= 22 ÷ 1/2 × 2.11
= 22 × 2 × 2.11
= $92.84
Also, A 200 -milliliter container of water costs $1.01. Using this information, 22 litres will cost:
= 22 × 1.01 ÷ 200/1000
= 22 × 1.01 × 1000/200
= 22 × 1.01 × 5
= $111.1
Based on this information, Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
