Answer:
When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.
The proportional relationship may be stated in different forms, but should be equivalent to this equation:
radius of Ab/ radius of Ac= length of arc EF/ length of arc CD
Explanations will vary, but should be based on the similarity of EAF and CAD. The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.
Step-by-step explanation:
This is the exact answer so make sure you change it up a little.
Answer:
When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.
The proportional relationship may be stated in different forms, but should be equivalent to this equation:
the radius of AB /radius of AC= length of arc EF/length of arc CD
The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.
Step-by-step explanation:
highest common factor of 9 and 29
Answer:
1
Step-by-step explanation:
See pic for steps :)
PLEASE HELP!!! I dont understand
Answer:
x^4+x^2+5
Step-by-step explanation:
f(x) = x^2 -3x+7
g(x) = x^2+2
f(g(x) = Place g(x) in for x in the function f(x)
= (x^2+2)^2 -3(x^2+2) +7
FOIL and Distribute
= x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7
Combine like terms
= x^4+x^2+5
What is the value of x in the equation -5/4x=-160
[tex] \\ \sf \longmapsto \: - \frac{ 5}{4} x = - 160 \\ \\ \sf \longmapsto \: \frac{5}{4} x = 160 \\ \\ \sf \longmapsto \: x = 160 \times \frac{4}{5} \\ \\ \sf \longmapsto \: x = 32 \times 4 \\ \\ \sf \longmapsto \: x = 128[/tex]
Step-by-step explanation:
-5/4x=-160
5/4x=160
x=160×4/5
x=640/5
x=128
Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?
Answer:
4 coats
Step-by-step explanation:
Let the cost of a pair of shoe be x.
Thus, 6 pairs would cost; 6x
Thus,1 coat will cost 6x.
2 pairs of jeans cost as much as 3 pairs of shoes.
Thus, 2 pairs of jeans will cost 3x.
4 pairs of socks cost as much as one pair of jeans.
If 2 pairs of jeans cost 3x
Then 1 pair will cost 3x/2 = 1.5x
Thus, 4 pairs of socks will cost 1.5x.
Thus, 1 pair of socks will cost 1.5x/4
Then, 64 pairs of socks will cost;
64 × 1.5x/4 = 24x
Earlier, we saw that 1 coat costs 6x.
Thus means that;
Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats
Someone plz help me 20 points
Answer:
16
Step-by-step explanation:
Sub in the number of customers (12) into the equation for the line of best fit, and solve.
y = 5/4 (12) + 1
y = 15 + 1
y = 16
There will be 16 positive YELP reviews
Vail skied 2 km north, 2 km west, 1 km north, and 2 km west. How far was she from her starting point?
Answer:
5.0645km
Step-by-step explanation:
For the first part of the journey where Vail skied 2 km north, 2 km west
displacement = √2² + (-2)²
displacement = √4+4
displacement = √8
displacement = 2√2 km
d1 = 2√2 km
For the second part of the journey where he skeid 1 km north, and 2 km west. How far was she from her starting point?
displacement = √1² + (-2)²
displacement = √1+4
displacement = √5
d2 = √5 km
Total displacement = d1 + d2
Total displacement = 2√2 + √5
Total displacement = 2(1.4142) + 2.2361
Total displacement = 2.8284+ 2.2361
Total displacement = 5.0645km
Hence she was 5.0645km from her starting point
pls help its a optional math question
Find the length of a pendulum which describes an arc of 33cm when it turns through and angle 27º.
Answer:
70cm
Step-by-step explanation:
33=27/360*2*22/7*r
33*2520/1188=r
83160/1188=r
r=70cm
hope it's right
A piece of fabric 20m long sew 4/5 of that cloth, the rest of the fabric is sewn for each bag 2/3m, how many bags can be sewn in all?
Answer: 16 bags
Step-by-step explanation:
(20) (4/5) = 16
(16) (3) / 2 = 24
The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?
Write the equation to solve the problem.
Solve for x
Find the side of the triangle
Answer:
204.2 cm
Step-by-step explanation:
equilateral means all sides are of equal length.
the perimeter of such a triangle is simply 3 times one of these sides.
so,
612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54
6x = 558.6
x = 93.1
so, a single side is
0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm
to check
3×204.2 = 612.6 = the original perimeter.
so, correct.
james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Step-by-step explanation:
The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.
HOPE IT HELPS YOU
MARK ME BRAINLIEST
help please ASAP!!! Got a lot of math to do here comes an all nighter :(
Answer:
110
Step-by-step explanation:
2 ( wl+hl+hw ) = 2 (7·1+6·1+6·7 ) = 110
Here Enjoy :)
Pears cost 38p how much for 15 pears?
Answer:
if pears cost 38p
then 15=15×38
=570p
the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.
Answer:
Percentage profit = 11.3%
Step-by-step explanation:
Given the following data;
Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430To calculate the profit percentage on the article;
First of all, we would determine the value-added (vat) tax levy;
Vat levy = 0.13 * 10000
Vat levy = Rs. 1300
Profit = selling price - cost price
Profit = 12430 - 10000
Profit = 2430
Profit after vat;
Profit after vat = Profit - Vat levy
Profit after vat = 2430 - 1300
Profit after vat = 1130
Next, we would calculate the profit percentage on the article;
[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]
Substituting the values into the formula, we have;
[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]
[tex] Percentage \; profit = \frac {113000}{10000} [/tex]
Percentage profit = 11.3%
solve for x with step by step explanation
0.85x - 100 < 80
;-; i don't understand how to solve this help
0.85x-100<80
collect like terms
0.85x<80+100
0.85x<180
divide by 0.85
x<211.8
Find the length of PR from the given figure ( step by step ).
Answer:
PR = 39 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² + PQ² = QR² , that is
PR² + 80² = 89²
PR² + 6400 = 7921 ( subtract 6400 from both sides )
PR² = 1521 ( take the square root of both sides )
PR = [tex]\sqrt{1521}[/tex] = 39
Answer:
[tex]PR=39[/tex]
Step-by-step explanation:
The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex]a^2+b^2=c^2[/tex]
[tex]PQ^2+PR^2=QR^2[/tex]
[tex]80^2+PR^2=89^2\\[/tex]
Simplify,
[tex]80^2+PR^2=89^2\\[/tex]
[tex]6400+PR^2=7921[/tex]
Inverse operations,
[tex]6400+PR^2=7921[/tex]
[tex]PR^2=1521\\\\PR=39[/tex]
what number is smallest 2,-3,-10,-5,-2-1
Answer:
2,-3,-10,-5,-2-1The smallest number is -10
Answer:
it's -10
Step-by-step explanation:
Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.
hope this helps
Problema de Matematicas En una fábrica de papel se han elaborado, 238 942 rollos de papel higiénico, 763 924 rollos de papel toalla y 73 947 rollos de servilletas, del total de rollos se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son.
Answer:
Se faltan por vender 201,419 rollos.
Step-by-step explanation:
Total de rollos:
238 942 rollos de papel higiénico
763 924 rollos de papel toalla
73 947 rollos de servilletas
Entonces:
[tex]T = 238942+763924+73947 = 1076813[/tex]
Se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son?
Total subtraído por la cuantidad vendida. Entonces:
[tex]V = 1076813 - 875394 = 201419[/tex]
Se faltan por vender 201,419 rollos.
Cual es la respuesta 5%9(12-32)
Answer:
i need more detail
Step-by-step explanation:
Will Mark Brainlest helpppp plssss
Answer:
C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]
Step-by-step explanation:
A = B+ C then
C = A - B
C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )
= [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]
5a + 18 < −27 pre algibra
Answer:
X < -9
Step-by-step explanation:
5a +18 < -27
5a < -27 -18
5a < - 45
5a/5 < - 45/5
a < - 9
Answred by Gauthmath
Answer: -9
Step-by-step explanation:
5a+18 < -27
5a< -27-18
5a<-45
a< -45/5
a< -9
Please help explanation if possible
Answer:
y=-11
Step-by-step explanation:
A line can be represented by a linear equation of
[tex]y = mx + b[/tex]
where m is the slope and y is the y intercept.
The slope is 0 so this function will be
[tex]y = b[/tex]
Which is also called a constant function. The y intercept is -11. So the answer is
[tex]y = - 11[/tex]
x^3+(y+z)^3 factorise it broefly.
Answer:
x^3 + y^3 + z^3
Step-by-step explanation:
x^3+(y+z)^3
Remove brackets
x^3 + y^3 + z^3
the difference of 8 and 3 is multiplied by one quarter of the sum of 7 and 5
Answer:
15
Step-by-step explanation:
the difference of 8 and 3 : 8-3 = 5
sum of 7 and 5 : 7+5 = 12
a quarter of that sum : 12/4 = 3
the difference from before is now multiplied by that quarter : 5 × 3 = 15
I know, you are a beginner, but you don't know basic arithmetic calculation of +, -, × , / ? really ?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The statement can be solved as shown below,
1. The difference between 8 and 3,
8 - 3 = 5
2. The difference between 8 and 3 is multiplied by one-quarter of the sum of 7 and 5,
[tex](8-3) \times \dfrac{(7+5)}{4}\\\\= 5 \times \dfrac{12}{4}\\\\= 15[/tex]
Hence, the solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.
Learn more about Multiplication:
https://brainly.com/question/14059007
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HELP ME PLS ITS URGENT
Answer: -3 (option D) is the answer.
(-8)-(-5)= -8+5 = -3
If onee moderator was typing why this website is bad every 20 minutes and the other was trying to update this site every 30 minutes by what time will the one updating the site find out about the insults
Answer: 60 minutes or 1 hour.
Step-by-step explanation:
Since one moderator was typing every 20 minutes while the other moderator was typing every 30 minutes, then the time the other one will find about the insult simply means that we should find the lowest common multiple of 20 and 30. This will be:
20 = 20, 40, 60, 80, 100, ..
30 = 30, 60, 90, 120 .....
Here, we can see that the lowest common multiple is 60. Therefore, the other one will find about the insults in 60 minutes.
Please help explanation if possible
Answer: y = -1x + 1
Step-by-step explanation:
(choose two points on the line to find the slope)
(0,1) and (2,-1)
(slope = m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-1}{2-0}=\frac{-2}{2} =-1[/tex]
y = mx + b, (0,1), (2,-1), m=-1
(both points work and yield the same equation)
[tex]y=mx+b\\1=-1(0)+b\\b=1\\y=-1x+1[/tex]
Solve for a. a+|-23+6|=-32
Plz help
Answer:
a = -49
Step-by-step explanation:
a+|-23+6|=-32
Simplify the absolute value term
a+|-17|=-32
a+17=-32
Subtract 17 from each side
a +17-17 = -32-17
a = -49
Answer:
a = −49
Step-by-step explanation:
a + ∣ − 17∣ = −32
a + 17 = −32
a = −32 − 17
Simplify.
-32 - 17 to -49.
Identify the vertex of this absolute value function: f(x) = -2|x + 1| + 2. Type the correct answer in each box. Use numerals instead of words.
Answer:
Step-by-step explanation:
x+1=0
then f(x)=2
x=-1
vertex is (-1,2)
Answer:
-1,2
Step-by-step explanation:
Plato
Anybody help please ! Step by step
Your answer is -6.
Hope my answer is helpful to you. Stay blessed .
[tex]\\ \large\sf\longmapsto {27}^{x} = {9}^{x - 3} \\ \\ \large\sf\longmapsto ( {3}^{3} ) {}^{x} = ({3}^{2} ) {}^{x - 3} \\ \\ \large\sf\longmapsto 3 {}^{3x} = 3 {}^{2(x - 3)} \\ \\ \large\sf\longmapsto {3}^{3x} = 3 {}^{2x - 6} \\ \\ \large\sf\longmapsto 3x = 2x - 6 \\ \\ \large\sf\longmapsto 3x - 2x = - 6 \\ \\ \large\sf\longmapsto x = - 6[/tex]
Given Isosceles Trapezoid TRAP, if mP=98, find mT
Answer:
∠ T = 82°
Step-by-step explanation:
In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so
∠ T + ∠ P = 180°
∠ T + 98° = 180° ( subtract 98° from both sides )
∠ T = 82°