Answer:
Number 4
Step-by-step explanation:
Side-Angle-Side, it has to be between the two sides.
Describe fully the tranformation that takes shape P to shape Q
Answer:
Enlargement (aka: Dilation)
Step-by-step explanation:
As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.
Answer:
dilation by a scale factor by 3 about (1, 0)
Step-by-step explanation:
it is dilation by a scale factor of 3
see the below picture to find the center of dilation formula
(2, 1) (4, 3) points of transformation
center = (3*2 - 4 / 3 - 1, 3*1 - 3 / 3 - 1)
= ( 6 - 4 / 2, 0)
= (1, 0)
so single transformation is dilation by a scale factor by 3 about (1, 0)
if a- b= 2 and ab= 15 then a3-b3?
a) 30 b) 98 c) 20 d) 60
full explanation please
Answer:
The answer is 98
Step-by-step explanation:
A = 5
B = 3
a_b = 2
a × b = 5 × 3 = 15
A3 _ b3 =(5) bower 3 _ (3) power 3 = 98
Triangle A is a scaled version of triangle B. The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle B is 40.5 sq cm. What is the area of triangle A?
Step-by-step explanation:
the lengths of any line (side, height,...) in A is twice as long as in B.
now, the area of a triangle is
baseline × height / 2
so, two lines are multiplied. that means the factor 2 gets multiplied in 2 times. and that means the area increases by the factor 2×2 = 4
therefore, the area of A is
40.5 × 4 = 162 cm²
According to the concept of tragic hero, can we consider the happy prince and the swallow tragic heroes?
Answer:
Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.
Step-by-step explanation:
3. How many 1/8's are in 1 1/4?
Answer:
10
Step-by-step explanation:
There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.
name the following geometric figures in as many ways as you can.
•————•
X W
•————•
X W
This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.
______
RainbowSalt2222 ☔
54,392 rounded to the hundreds place
Answer:
54,400
Step-by-step explanation:
POSSIBLE POINTS: 33.33
homeowner collects data about the amount of oil A, in gallons, used to heat the house per month for 5 months and the
verage monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function
(t) = -1.4t + 96 best fits these data.
=============================================================
Explanation:
Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.
From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.
For example, if we plugged in t = 10, then,
A(t) = -1.4t+96
A(10) = -1.4(10)+96
A(10) = -14 + 96
A(10) = 82
Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.
The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.
Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.
If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.
Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.
For the graph attached statements A, C and E are true.
Function that fits the given data in the graph,
A(t) = -1.4t + 96Here, t = temperature in Fahrenheit
A(t) = Oil used in gallons
By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.
Option A
By substituting t = 10°F,
A(10) = -1.4(10) + 96
= 82 gallons
Therefore, statement is true.
Option B
For t = 15°F,
A(15) = -2.4(15) + 96
= 60 gallons
Statement is False.
Option C
For t = 68.5°F
A(5) = -1.4(68.5) + 96
= 0.1 gallons
≈ 0 gallons
Statement is True.
Option D
For t = 55°F,
A(55) = -1.4(55) + 96
= 19 gallons
Statement is False.
Option E
For t = 0°F
A(0) = -1.4(0) + 96
= 96 gallons
Statement is true.
Therefore, statements given in options A, C and E are True.
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at edgars bakery one customer buys 4 donuts and 10 muffins for $32. Another customer buys 12 donuts and 5 muffins and pays $21.
x=price of donut
y=price of muffin
1. Write an equation to represent the first customer
2.write an equation to represent the 2nd customer
3.solve system of equations
Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.
The equation to represent the first customer is 4x + 10y = 32
The equation to represent the 2nd customer is 12x + 5y = 21
Solving the equations will be:
4x + 10y = 32 ...... i
12x + 5y = 21 ......ii
Multiply equation i by 12
Multiply equation ii by 4
48x + 120y = 384
48x + 20y = 84
100y = 380
y = 380/100 = 3.8
Therefore, we'll find the value for x which will be:
4x + 10y = 32
4x + 10(3.8) = 32
4x = 32 - 38
4x = -6
x = -1.5
Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.
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solve for x
2/x -2 = 3/2x +3
Step-by-step explanation:
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Step-by-step explanation:
the numbers : x, y
x + y = 65
x = y + 5
we use the second equation in the first equation :
y + 5 + y = 65
2y + 5 = 65
2y = 60
y = 30
x = y + 5 = 30 + 5 = 35
The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=
Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
The value of each expression is given below,
B(6)=85
B(2.75)=52.5
B(1.482)=39.82
Value of x for each expression,
B(x)=93; x=6.8
B(x)=42.1; x=1.7
B(x)=116.25; x=9.125
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 expression is B(x)=10x+25.
The value of each expression will b calculated as,
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
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Graph the line with slope 7 and y-intercept -7
Given :-
To graph the line with slope 7 and y intercept -7.To Find :-
The graph of the line .Solution :-
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
[tex]\longrightarrow[/tex] y = mx + c
On putting the respective values ,
[tex]\longrightarrow[/tex] y = 7(x) + (-7)
[tex]\longrightarrow[/tex] y = 7x - 7
For the graph see attachment .
Harper was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 16%. What number should she multiply the cost of the meal by to find the total plus tip in one step?
Answer:
Harper would take the Total Bill after tax and mutiply it by 0.16.
The formula for this would be
Total Bill = x
Tip = 16% -> 16/100 = 0.16
So
0.16x
Two polygons are similar. The corresponding angles of the polygons are- A congruent B proportional C regular D similar
9514 1404 393
Answer:
A congruent
Step-by-step explanation:
In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.
What is the slope of the function?
O-6
O 4
O 4
O 6
Answer:
12/2 = 6
Step-by-step explanation:
2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1
answer:
Step-by-step explanation:
I hope she is correct answer
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What is the product of
(5m2) (2m -3)
7
7m6
10
10m6
Answer:
10m^3-15m^2
Step-by-step explanation:
(PHOTO) Please help need this done by tomorrow thank you.
Solve for x. k 2x + 4 4x - 88 x = [?]
Answer:
2x + 4 = 4x - 88
x = 46
Answer:
x = 46
Step-by-step explanation:
These angles are known as corresponding angles. This means they are equal to one another.
[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]
Someone help me on PART B:
Step-by-step explanation:
given expression,
4(3x - 1) - 2(6 + 2x)
given,
x = 12.5
so q/q
→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]
→ 4(37.5 - 1) - 2(6 + 25)
→ 4 × 36.5 - 2 × 31
→ 146 - 62
→ 84
therefore, 84 articles store received last Thursday.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
Answer:
84
Step-by-step explanation:
Bạn dự định đi học thêm vào mùa hè này. Nếu đi học bạn sẽ không thể đi làm với thu nhập là 5 triệu đồng và không thể ở nhà nghỉ ngơi. Học phí là 2 triệu, tiền mua giáo trình 300 ngàn, sinh hoạt phí là 1.5 triệu. Hãy xác định chi phí cơ hội của việc đi học thêm vào mùa hè này.
Answer:
4 better inbox
Step-by-step explanation:
A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work office. Warren comes along and decides to eat two in a row. What is the probability that Warren will eat a chocolate donut and then a custard filled donut
Probabilities are used to determine the chances of selecting a kind of donut from the box.
The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068
The given parameters are:
[tex]\mathbf{Bars = 6}[/tex]
[tex]\mathbf{Chocolate = 3}[/tex]
[tex]\mathbf{Custard= 3}[/tex]
The total number of donuts in the box is:
[tex]\mathbf{Total= 6 + 3 + 3}[/tex]
[tex]\mathbf{Total= 12}[/tex]
The probability of eating a chocolate donut, and then a custard filled donut is calculated using:
[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]
So, we have:
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]
Simplify
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]
Multiply
[tex]\mathbf{Pr = \frac{9}{132}}[/tex]
Divide
[tex]\mathbf{Pr = 0.068}[/tex]
Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068
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Work out the area of this semicircle.
Take a to be 3. 142 and write down all of the digits given by your calculator.
11 cm
Answer:
Step-by-step explanation:
A = πr²/2 = 3.142(11²)/2 = 190.091 cm²
Evaluate. (2a−1/3)÷b/15 when a=−4/5 and b=−2.25 Enter your answer as a simplified mixed number in the box.
Round 0.13171 to the thousandths place (three decimal places).
An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
On a recent vacation to the Philippines, Sama bought milk from two different stores. What is the difference in price between the two-unit rates for each carton of milk?
and
Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.
Please solve this correctly. I will give Brainliest.
Answer:
yes because that are true
geomtry plz help me 15 pointz
Answer:
m∠R=76°
Step-by-step explanation:
∠STR=∠RST=(2x+2)° (base angles of isos triangle)
2(2x+2)+(3x+1)=180 (angle sum of triangle)
4x+4+3x+1=180
7x+5=180
7x=180-5
=175
x=175÷7
=25
Hence, m∠R = (3x+1)°
= [3(25)+1]°
= (75+1)°
= 76°
Answer:
m∠R=76º
Step-by-step explanation:
All angles in a triangle add up to 180º.
The triangle given is an isosceles triangle.
(2x+2)+(3x+1)+(2x+2)=180
Remove parentheses.
2x+2+3x+1+2x+2=180
Collect like terms.
7x+2+1+2=180
Add.
7x+5=180
Subtract 5 from both sides of the equation.
7x=175
Divide 7 from both sides of the equation.
x=25
m∠R=(3x+1)º
3x25+1=76º
m∠R=76º
Hope this helps :)
In the coordinate plane, the points A(-8, -6), B(-9, 11), and C(3. - 7) are reflected over the y-axis to the points A, B, and C', respectively. What are the coordinates of A' B', and C'?
Answer:
A' = (8,-6)
B' = (9,11)
C' = (-3,-7)
Step-by-step explanation:
When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.
Determine the intercepts of the line.
Do not round your answers.
y +5 = 2(x + 1)
y-intercept:
r-intercept:
Answer:
x intercept: (3/2, 0), y intercept: (0, -3)
Step-by-step explanation:
Andrew invests $9000
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