Question 5(Multiple Choice Worth 1 points) (03.03 LC) If a figure has been dilated by a scale factor of 4, which statement explains how a translation can be used to prove the figures are similar using the AA similarity postulate? A translation can map one side onto another since dilations preserve side lengths of triangles. A translation can map one angle onto another since dilations preserve angle measures of triangles. A translation can map the center of a triangle onto another since dilations preserve the location of the center of triangles. A translation can map the vertices of one triangle onto another since dilations preserve the size of triangles.
Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
Answer:
A translation because it can map one angle onto another since dilations preserve angle measures of triangles.
Step-by-step explanation:
Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)
if u get this right i will mark brainliest
Let x and y be the unit rates at which one large pump and one small pump works, respectively.
Two large/one small operate at a unit rate of
(1 pool)/(4 hours) = 0.25 pool/hour
so that
2x + y = 0.25
One large/three small operate at the same rate,
(1 pool)/(4 hours) = 0.25 pool/hour
x + 3y = 0.25
Solve for x and y. We have
y = 0.25 - 2x ==> x + 3 (0.25 - 2x) = 0.25
==> x + 0.75 - 6x = 0.25
==> 5x = 0.5
==> x = 0.1
==> y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05
In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.
Now, if you have four each of the large and small pumps, they will work at a rate of
4x + 4y = 4 (0.1) + 4 (0.05) = 0.6
meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have
(3/5 pool/hour) (t hours) = 1 pool
==> t = (1 pool) / (3/5 pool/hour) = 5/3 hours
So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.
Find the measure of one interior angle for the following regular polygon
Answer:
120
Step-by-step explanation:
All the interior angles in a regular hexagon are 120 degrees.
make g the subject 4m+2g=p
Answer:
g = (p - 4m)/2Step-by-step explanation:
Make g the subject means solve for g:
4m + 2g = p2g = p - 4mg = (p - 4m)/2What is the degree of this polynomial?
5 + 2s
=====================================================
Explanation:
We can rewrite 5 as 5s^0, since s^0 = 1 where s is nonzero.
Think of 2s as 2s^1
With those ideas in mind, the original polynomial turns into 5s^0 + 2s^1
Sorting the terms so that the largest exponent is first gets us the standard form 2s^1 + 5s^0
The largest exponent is the degree, so the degree is 1.
Side note: This trick only works for single variable polynomials.
helpp me solve it and pls explain
tyyy
Answer:
2=124 124/2
4=248 248/4
5=310 310/5
8=496 496/8
Step-by-step explanation:
40 + 22 = 62
62 x 2 = 124
62 x 4 = 248
62 x 5 = 310
62 x 8 = 496
i think
Bond and DePaulo (2006) analyzed the results from 384 studies that tested the lie-detecting ability of more than 24,000 people and found that: Group of answer choices about 50% of people are especially clairvoyant and able to discern truths from lies. the accuracy rate of most people is barely above the 50% guessing level. most people can rather accurately guess whether they are told the truth or a lie. training people can substantially increase their lie-detecting ability.
Answer:
B: the accuracy rate of most people is barely above the 50% guessing level
Step-by-step explanation:
Bond and DePaul carried out a research and analysis on the accuracy of deception judgments in 2016.
This research involved synthesizing of results gotten from 206 research documents as well as a total of 24483 judges.
In this research and analysis, there were a couple of discoveries when people tried to discriminate lies from the truth and these discoveries include; average percentage of correct lie-truth judgments, percentage of those who correctly classified lies as deception and also percentage of those who classified truths as non-deceptive e.t.c. In conclusion, part of their discoveries was that the accuracy rate of most people is barely above the 50% guessing level.
This corresponds to option B.
Select all that apply to the following statement. There is a LOW correlation between cheating and final grades in Math256. Group of answer choices Correlation requires both variables to be either qualitative or quantitative. The correlation has no unit of measurement; it is just a number. The correlation must specify which is the explanatory variable and which is the response variable Correlation requires both variables to be quantitative
Answer:
The correlation has no unit of measurement; it is just a number.
Correlation requires both variables to be quantitative.
Step-by-step explanation:
Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.
757divide 100=to in hours and minutes
Answer:
Step-by-step explanation:
757 minutes = 12 hours 37 minutes
What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?
Answer:
The 19th term is 99.
Step-by-step explanation:
We can write a direct formula and use it to find the 19th term. Recall that the direct formula for an arithmetic sequence is given by:
[tex]x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
Since the first term is 9 and the common difference is 5:
[tex]\displaystyle x _ n = 9+5(n-1)[/tex]
To find the 19th term, let n = 19. Thus:
[tex]x_{19} = 9+5(19-1)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} x_{19} &= 9+5(18) \\ &= 9+90 \\ &= 99\end{aligned}[/tex]
The 19th term is 99.
There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row
Answer:
0.1294
Step-by-step explanation:
Number of chocolates in box = 38
Number of nuts = 8
Number of caramel = 16
Number of solid chocolate = 14
Since 2 are selected in a row and not replaced, then;
Probability of first being solid chocolate = 14/38
Probability of second being solid chocolate after first one = 13/37
Thus;
P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294
Find the area of the figure.
we observe that this figure could be divided into a triangle and a rectangle.
for the area of the triangle, bxh/2, we have 15 x 12/2 = 90
and for the rectangle, we have 5 x 12 = 60
so, 90 + 60 = 150
hope it helps :)
|Area of a square field is 617796cm² . Find length of its each side.
Answer:
length of its each side is 786 cm
Step-by-step explanation:
l² = 617796cm²
l = √617796
l = 786cm
Answer:
[tex]area \: of \: square = {l}^{2} [/tex]
[tex]617796 = {l}^{2} [/tex]
[tex] \sqrt{617796 } = l[/tex]
[tex]786 = l[/tex]
therefore ,l=786cm
PLEASE DO THIS ASAP!
NO LINKS!
Answer:
x =6
Step-by-step explanation:
5(x-2) = 14+x
Distribute
5x-10 = 14+x
Subtract x from each side
5x-x -10 = 14+x-x
4x-10 = 14
Add 10 to each side
4x-10+10 = 14+10
4x= 24
Divide by 4
4x/4 = 24/4
x =6
Answer:
5(×-2)=14+×
5x-10=14+x
5x-x=14+10
4x=24
x=6
A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final cost of the DVD player?
Answer: its going to be 3 dollars and 67 cents
Step-by-step explanation:
A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.
a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.
b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.
Answer:
a) Sinusoidal functions are y = a sin [b(x-h)] + k (or)
y = a cos [b(x-h)] + k
Where a is amplitude a= (max-min)/2=(16-2)/2=7
period p= 2π/b
b=2π/30
Horizontal transformation to 10 units right h=10
k= (max+min)/2=(16+2)/2=9
h = 7 cos [π/15(t-10)]+ 9
b) t=10min=600 sec
substitue in the above equation
h=5.5m
ONLY ANSWER IF YOU KNOW, SHOW WORK
Answer:
hello,
Step-by-step explanation:
[tex]cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}[/tex]
Could someone please help me?
Answer:
ab=9 and ac=12
Step-by-step explanation:
Help ME PLS IM FAILING PYTHAGOREAN THEOREM I NEED HELP NOW
Answer:
3.9
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
7^2 + h^2 = 8^2
49 + h^2 = 64
h^2 = 64-49
h^2 = 15
Taking the square root of each side
sqrt(h^2) = sqrt(15)
h = 3.87298
To the nearest tenth
h = 3.9
Inverse trigonometry functions I need help finding the answers everything I’ve tried says it’s wrong
Answer:
see below
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hypotenuse
cos x = 13/20
Taking the inverse cos of each side
arccos ( cos x ) = arccos( 13/20)
x = arccos ( 13/20)
x =49.45839
x = 49 to the nearest whole number
sin theta = opp/ hyp
sin y = 13/20
Taking the inverse sin of each side
arcsin ( sin y ) = arcsin( 13/20)
y = arcsin ( 13/20)
y=40.5416
y = 41 to the nearest whole number
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.
Answer:
base = 3x - 1
height = x
area of triangle = (1/2)bh
22 = (1/2)(3x-1)(x)
44 = (3x-1)(x)
44 = 3x^2-x
0 = 3x^2-x-44
0 = 3x^2-12x+11x-44
0 = (3x^2-12x)+(11x-44)
0 = 3x(x-4)+11(x-4)
0 = (x-4)(3x+11)
x = {-11/3, 4}
throw out the negative solution (extraneous) leaving
x = 4 m (height)
.
Base:
3x - 1 = 3(4) - 1 = 12 - 1 = 11
Step-by-step explanation:
I hope it will help you
Which of these triangle pairs can be mapped to each other using a single translation?
A trapezoid has two basses that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid? A) 95 cm2. B) 64 cm2. C) 47.5 cm2. D) 24 cm2
Answer:
C.47,5cm²
Step-by-step explanation:
(08.05, 08.06 MC)
Part A: The area of a square is (16x2 - 8x + 1) square units. Determine the length of each side of th
square by factoring the area expression completely. Show your work. (5 points)
A=16x²-8x+1
16x²-8x+1=l²
(16x²-4x)-(4x+1)=l²
4x(4x-1)-1(4x-1)=l²
x=1/4 or 1
Therefore
since x=1/4
l²=1/4=>l=>√(1/4)
l=1/2
since x=1
l²=1=>l=>√1
l=1
Therefore the length of each sides
1 or 1/2
Given right triangle ABC, what is the value of tan (A)
O 5/13
O 12/13
O 12/5
O 13/12
Answer:
12/5
Step-by-step explanation:
Recall that trig function tan = opposite / adjacent
Find tan A
Opposite side of angle A = 24
Adjacent of A = 10
Tan (A) = 24/10
24/10 can be simplified to 12/5
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Tan is equal to [tex]\frac{opposite}{adjacent}[/tex]. The side opposite to angle A is BC while the side adjacent to it is AC. This means tan(A) is [tex]\frac{BC}{AC}[/tex]. It is given that BC is 24 and AC is 10, so we can substitute those values in and simplify:
tan(A) = [tex]\frac{24}{10} = \frac{12}{5}[/tex]
please someone help me! asap!!
Answer:
Last option= 30 minutes
PLS HELP ME ASAP!!!!
Find the area of the shaded region.
Answer:
pi × 18cm^2
Or approximately,
56.52cm^2 (using 3.14 for pi)
or
56.5487cm^2 (using pi button on calculator)
Step-by-step explanation:
Area of a circle is pi times [radius squared].
All circles are 360°.
Problem can be solved by finding area of whole circle, and then using ratios.
Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2
80° / 360° = Area[shaded] / (pi × 81cm^2)
pi × 18cm^2 = Area[shaded]
((If you read my answer before the edit, I am sorry. I made a calculator error.))
The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is .
Answer:
6
Step-by-step explanation:
4n - 12 < 2n + 2 is for n=6
4×6 -12 < 2×6 +2
24 - 12 < 12 + 2
12 < 14 correct
for n=7
4×7 - 12 < 2×7 + 2
16 < 16 incorrect
for n=8
4×8 - 12 < 2×8 + 2
20 < 18 incorrect
for n=9
4×9 - 12 < 2×9 + 2
24 < 20 incorrect
so, only for n=6 is the expression true.
Answer:
6
Step-by-step explanation:
4n - 12 < 2n + 2 is for n=6
4×6 -12 < 2×6 +2
24 - 12 < 12 + 2
12 < 14 correct
for n=7
4×7 - 12 < 2×7 + 2
16 < 16 incorrect
for n=8
4×8 - 12 < 2×8 + 2
20 < 18 incorrect
for n=9
4×9 - 12 < 2×9 + 2
24 < 20 incorrect
so, only for n=6 is the expression true.Step-by-step explanation:
Determine whether the statement below is true or false diam is a rhombus
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
it has all the properties matching with a rhombus
answer from gauthmath