Answer:
is a dilation
Step-by-step explanation:
One of the triangles will be a dilation of the other if corresponding sides have the same ratio. When given a series of side lengths, there are a couple of ways you can determine if the ratios are the same.
compute the ratio of the side of one figure to the corresponding side of the other figureput corresponding side lengths in order around the figure, and remove any common factor from their values.Sometimes the latter approach is easier.
__
DEFG ratios are 16 : 32 : 28 : 12 = 4 : 8 : 7 : 3 . . . . . . remove a factor of 4
D'E'F'G' ratios are 44 : 88 : 77 : 33 = 4 : 8 : 7 : 3 . . . . remove a factor of 11
The figure D'E'F'G' is a dilation of the figure DEFG. The ratios of the lengths of the corresponding sides are equal.
I need help, if you could that would be awesome.
[tex]\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)[/tex]
[tex]\\ \rm\rightarrowtail -8x-4\leqslant 3x-15[/tex]
[tex]\\ \rm\rightarrowtail -11x\leqslant -11[/tex]
[tex]\\ \rm\rightarrowtail x\geqslant 1[/tex]
Answer:
x ≥ 1
Step-by-step explanation:
Given inequality :
-4(2x + 1) ≤ 3(x - 5)
Step 1 : Expand on both sides
-4(2x + 1) ≤ 3(x - 5)-8x - 4 ≤ 3x - 15Step 2 : Bring x terms to one side and numerical terms to the other
-8x - 4 ≤ 3x - 15-11x ≤ -11Step 3 : Divide by -11 on both sides
Remember when dividing by a negative number, the sign always changes to become the opposite-11x ≤ -11x ≥ 1
Solution
x ≥ 1
Find the modulus of 15+36i
Answer:
The modulus is 39
Step-by-step explanation:
Modulus of a complex number
The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:
[tex]\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}[/tex]
The given complex number is z = 15 + 36i
Calculating the modulus:
[tex]|z|=\sqrt {15^{2}+36^{2}}[/tex]
[tex]|z|=\sqrt {225+1296}[/tex]
[tex]\boxed{|z|=\sqrt {1521}}[/tex]
|z|=39
The modulus is 39
convert 0.83 repeating to a fraction. PLZ help me
Answer:
5/6
Step-by-step explanation:
Explanation:
We first let 0.83 (3 being repeated) be
x
.
Since
x
is recurring in 1 decimal places, we multiply it by 10.
10
x
=
8.33
Next, we subtract them.
10
x
−
x
=
8.33
−
0.83
9
x
=
7.5
Lastly, we divide both sides by 9 to get
x
as a fraction.
x
=
7.5
9
=
75
90
=
5
6
The solution is, 5/6, when convert 0.83 repeating to a fraction.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
Explanation:
We first let 0.83 (3 being repeated) be x.
Since,
x is recurring in 1 decimal places, we multiply it by 10.
10x=8.33
Next, we subtract them.
10x−x=8.33−0.83
9x=7.5
Lastly, we divide both sides by 9 to get x
as a fraction.
x=7.5/9
=75/90
=5/6
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What is the length of DE?
Answer:
The length of DE is 5 because they are similar triangle .
Explanation:
The triangles are similar. We can use the SAS similarity theorem to prove that claim.
Because the triangles are similar, the corresponding sides form a proportion like shown below
12/8 = 9/x
12x = 8*9 ... cross multiply
12x = 72
x = 72/12
x = 6 which is why the answer is choice B
A triangle can be constructed by taking its sides as
(1) 1.8 cm, 2.6 cm, 4.4 cm
(2) 2 cm, 3 cm, 4 cm
(3) 3.2 cm, 2.3 cm, 5.5 cm
(4) 2.4 cm, 2.4 cm, 6.4 cm
Answer:
can be constructed by taking the sides 2cm, 3cm,4cm
What is the volume of the oblique cone? Round to the nearest tenth. 142. 4 cubic units 142. 4 square units 196. 0 cubic units 196. 0 square units.
The volume of the oblique cone is 142.4 cubic units. Then the correct option is A.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The radius and height of the oblique cone are 4 and 8.5 unis.
Then the volume of the cone will be given as
[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h\\\\\\Volume = \dfrac{1}{3} \pi *4^2 * 8.5 \\\\\\Volume = \dfrac{1}{3} \pi * 16 * 8.5 \\\\\\Volume = 142.4 \ cubic \ units[/tex]
The volume of the oblique cone is 142.4 cubic units. Then the correct option is A.
More about the geometry link is given below.
https://brainly.com/question/7558603
what is the value of the expression?
4x3+(12divided by 2x2)
Answer:
the answer is 15.
Answer:
it is 15
Step-by-step explanation:
Distribute & Simplify 6 + 2 (7x +3y-1)
Answer:
56x+24y-8
Step-by-step explanation:
6 + 2 (7x +3y-1)
8(7x+3y-1)
56x+24y-8
Amy is catching a flight for London at 12:00 noon. Prior to leaving for the airport, she needs to allow 30 minutes for a shower and 30 minutes to finish packing last minute items. She also needs to give herself 1 hour to drive to the airport. If she needs to arrive for her international flight two hours before departure, then she needs to set her alarm to wake up by what time in order to be on schedule?
Answer:
8:00amStep-by-step explanation:
Given that the departure time is 12:00 noon
let us calculate the time she takes to prepare herself
preparation time
shower= 30minutes
last minutes item= 30minutes
drive to airport= 1 hour= 60minutes
total time for preparation = 2 hours
2 hours before departure time is 12-2= 10:00 am
with 2 hours of preparation she needs to set the alarm by=10-2= 8:00am
A rose garden in the city park is rectangular and is 9 m wide. If the area of the rectangle is 144 m², what is the length of the garden?
Answer:
Length = 16m
Step-by-step explanation:
Area of a rectangle = Length * Width
144m^2 = Length * 9m
Divide both sides by 9m
Length = 16m
The measure of the angles of a triangle are shown in the figure below . Solve for x
Answer:
56
Step-by-step explanation:
because the triangle is 180 degrees
Answer:
x = 56°
Step-by-step explanation:
Hello!
All angles in a triangle add up to 180°
84 + 40 = 124
180 - 124 = 56°
If you need further explanation, let me know!
- profparis
Kimberly's parents added a hot tub to the backyard this summer, so Kimberly is hosting a hot tub and movie night for her close friends. The hot tub is shaped like a rectangular prism. It is 7 feet long, 3
1
4
feet deep, and has a volume of 159
1
4
cubic feet.
The width of the hot tub given its volume, length and depth is 7 feet.
What is the width of the hot tub?A rectangular prism is a three-dimensional object with six faces. Opposite faces are identical.
Volume of a rectangular prism = length x width x height
Width = volume / ( depth x length)
159 1/4 ÷ (7 x 3 1/4)
637/4 ÷ (91/4)
637/4 x 4/91 = 7 feet
To learn more about rectangular prisms, please check: https://brainly.com/question/8890358
There are 3/4 as many boys as girls in class of fifth-grade. If there are 35 students in class, how many are girls?
Answer:
girls = 20
boys = 15
Step-by-step explanation:
boys = 3/4 x = .75x
girls = x
x + .75x = 35
1.75x = 35
x = 35/1.75
x = 20
girls = 20
boys = 3/4 * 20 = 15
boys = 15
what is 12 ÷ (4-2.3) in word form
Answer:
> twelve divided by open bracket four subtract by two multiple by three close bracket.
The required form of expression 12 ÷ (4 - 2.3) is a division of 12 by a difference of 4 and 2.3.
Given that,
To write the expression 12 ÷ (4-2.3) in word form.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Here,
In the expression, 12 ÷ (4-2.3)
12 is getting divided by the subtraction 2.3 from 4, this implies the division of 12 by a difference of 4 and 2.3.
Thus, the required form of expression 12 ÷ (4 - 2.3) is a division of 12 by a difference of 4 and 2.3.
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What is the slope-intercept form of m= -4
Answer:
y = - 4x
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b. In this case, m is - 4 and no b value is given.
5x2y and 4yx2 are like terms ?
Answer:
40 x^2 y^2
Step-by-step explanation:
5×2 y (4 y x^2)
Answer:
yes
Step-by-step explanation:
5x^2y
4yx^2
Rewriting the second term
4 x^2y
We have x^2 and y in each term so they are like terms
The code for puzzle one escape the rooms
Answer:
there Is no question to that cluld you explain. sorry I don't know how to comment.
Fifteen percent of the students in seventh grade at Western Middle School have perfect attendance. There are 220 students in seventh grade. How many have perfect attendance? Perfect Attendance 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 11 22 33 44
Answer: 33
Step-by-step explanation:
From the question, we are informed that Fifteen percent of the students in seventh grade at Western Middle School have perfect attendance and that there are 220 students in seventh grade.
To calculate the number of students who have perfect attendance, we multiply 15% by 220. This will be:
= 15% × 220
= 15/100 × 220
= 0.15 × 220
= 33
33 students have Perfect attendance
Answer:
33
Step-by-step explanation:
How much can a computer technician earn in two
years? Assume there are no raises in that time.
Answer:
$72,920
Step-by-step explanation:
hope this helps
−(−2−5x)+(−2)=18 I am confused on how to get the answer.
Answer:
3.6
Step-by-step explanation:
-(-2-5x)+(-2)=18
2+5x-2=18
5x=18
X=18/5
X=3.6
Answer:
Hello there!^^
Step-by-step explanation:
✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰
Add 2 to both sidesSimplify Divide both sides by -1SimplifyAdd 2 to both sidesSimplifyDivide both sides by -5Finally, you have to simplify again.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
→ 1. -(-2-5x)-2+2=18+2
→ 2. -(-2-5x)=20
→ 3. 20/-1
→ 4. -2-5x=-20
→ 5. -2-5x+2=-20+2
→ 6. -5x=-18
→ 7. -5x/-5 = -18/-5
→ 8. x = 18/5
Answer: x = 18/5Hence the answer would be 18/5
By you fellow brainly user: xCherryxUwU
#Thanks!
✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰
You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate. a. How many bowls could you glaze? How many plates could you glaze? You could glaze bowls. You could glaze plates. b. You want to glaze 5 bowls, and then use the rest for plates. How many plates can you glaze? How much glaze will be left over? You could glaze plates and will have pints of glaze left over. c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer. You could glaze bowls and plates. The bowls use pints of glaze and the plates use pints of glaze, for a total of 6 pints of glaze.
Answer:
a.
How many bowls could you glaze?
we can only glaze 6 bowls
How many plates could you 10 plates
b. You want to glaze 5 bowls, and then use the rest for plates.
How many plates can you glaze?
Hence we can only glaze 2 plates
How much glaze will be left over?
8/9
c. How many of each object could you glaze so that there is no glaze left over?
= 4 4/23 bowls and 4 4/23 plates
Step-by-step explanation:
You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.
a.
How many bowls could you glaze?
It takes 7/8 of a pint to glaze a bowl
We have 6 pint
7/8 pint = 1 bowl
6 pints =
6 pints/ 7/8
= 6 × 8/7
= 48/7
= 6.8571428571 bowls
We can't glaze decimal of a bowl, hence, we can only glaze 6 bowls
How many plates could you glaze?9/16 of a pint to glaze a plate.
9/16 pint = 1 bowl
6 pints =
6 pints/ 9/16
= 6 × 16/9
= 10.666666667 plates
We can't glaze decimal of a plate, hence, hence can only glaze 10 plates
b. You want to glaze 5 bowls, and then use the rest for plates.
1 bowl = 7/8 pints
5 bowls =
5 × 7/8pints
= 4 3/8 pints of glaze would be used for bowls
How many plates can you glaze?
The rest is for plates, hence:
6 pints - 4 3/8
1 5/8 pints of glaze would be left over to glaze plates.
Hence if
9/16 pints = 1 plate
1 5/8 pints =
= 2 8/9
Hence we can only glaze 2 plates
How much glaze will be left over?
8/9
You could glaze plates and will have pints of glaze left over.
c. How many of each object could you glaze so that there is no glaze left over?
We have 6 pints of glaze
7/8 x + 9/16 × x = 6 pints
= 4 4/23 bowls and 4 4/23 plates
Solve for 100 points
Answer:
3:59:253:53:527:1253:5Step-by-step explanation:
Here it is given that the scale factor of two cylinders is 3:5 . And we need to find out the ratios of circumference , surface area , height , diameter , volume and radii of the cylinders .
So let us assume that ,
Radius of first cylinder be 3x and that of second be 5x .Height of first cylinder be 3y and that of second be 5y .Formulas to be used :-
Circumference :- The base of cylinder is circle . So ,
[tex]\longrightarrow C = 2\pi r [/tex]
Surface Area :- The curved surface area is ,
[tex]\longrightarrow S.A. = 2\pi rh [/tex]
Diameter :-
[tex]\longrightarrow d = 2r [/tex]
Volume :-
[tex]\longrightarrow Volume = \pi r^2h [/tex]
Now refer to the attachment for answer .
Answer:
1. 3:5
2. 9:25
3. 3:5
4. 3:5
5. 27:125
6. 3:5
Step-by-step explanation:
just look above me ;)
If LMN = XYZ, which congruences are true by CPCTC? check all that apply.
Answer:
ML congruent YX
Step-by-step explanation:
You have chosen the correct answers
but , also [ ML congruent YX ]
Answer: Z= N
ML= YX
X=L
Step-by-step explanation:
John weights 65.7 kg. If he reduces his weight in the ratio 5 : 4, find his reduced weight.
Let the previous weight be 5x.
[tex]\small\bold\pink{ →}\small\bold{5x = 65.7 }[/tex]
[tex]\small\bold\pink{ →}\small\bold{x =\frac{65.7}{5}}[/tex]
[tex]\small\bold\pink{ →}\small\bold{x = 13.14}[/tex]
Therefore, the reduce weight = 4 × 13.14
= 52.56 kg
Answer :- 52.56 kg
Given the measurement 3.60 what is the precision
Answer:
0.01 because depend on uncertainty
the triangle below, what is the length of the side opposite the 60° angle? 60 3 30 3sqrt(3) B. 6 2sqrt(3); sqrt(3)
Answer:
A.
Step-by-step explanation:
I know I am late. Hope this helps you understand at least.
For a 30 60 90 triangle the side opposite to the 60 is always x√3.
The hypotenuse is always 2x
And the site opposite to the 30 is always x.
Since x is 3 you would replace the x in x√3, with 3.
Describe the pattern. Find the next three numbers.
7. 0.7, 2.1, 6.3, 18.9,...
8. 0.13, 0.65, 3.25, 16.25,...
9. 2, 0.04, 0.0008, 0.000016, ...
10. 6, 1.8, 0.54, 0.162, ...
9514 1404 393
Answer:
7. a[n] = 3·a[n-1]; 56.7, 170.1, 510.3
8. a[n] = 5·a[n-1]; 81.25, 406.25, 2031.25
9. a[n] = 0.02·a[n-1]; 0.00000032, 0.0000000064, 0.000000000128
10. a[n] = 0.3·a[n-1]; 0.0486, 0.01458, 0.004374
Step-by-step explanation:
These sequences are all geometric sequences, so terms have a common ratio. That ratio can be found by dividing the second term by the first. The next term is found by multiplying the last term by the common ratio.
__
7. ratio is 2.1/0.7 = 3. Each term is 3 times the last. The next three terms are ...
18.9×3 = 56.7, then 170.1 and 510.3
__
8. ratio is .65/.13 = 5. Each term is 5 times the last. The next three terms are ...
16.25×5 = 81.25, then 406.25 and 2031.25
__
9. ratio is .04/2 = .02. Each term is 0.02 times the last. The next three are ...
0.000016×0.02 = 0.00000032 = 3.2×10^-7, then 6.4×10^-9 and 1.28×10^-10
__
10. ratio is 1.8/6 = 0.3. Each term is 0.3 times the last. The next three are ...
0.162×0.3 = 0.0486, then 0.01458 and 0.004374
convert 3\ 11 to a decimal using long divison
Answer:
0.27272727272
Step-by-step explanation:
Answer:
3/11 = .272
Step-by-step explanation:
TwT can someone help me
Convert 0.4 to a fraction
Convert 0.35 to a fraction
Answer:
0.4=2/5
0.35=7/20
Step-by-step explanation:
A friend ate 2/3 of a small muffin and his friend ate 2/3 of a large muffin, did they eat the same amount?
Answer:
no, because both muffins are different sizes, meaning that if a friend ate 2/3 of a small muffin than that would be different