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ludmilkaskok [199]
3 years ago
10

What is the distance between the points (−9,−2) and (50,54)?

Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0
This question can be found using the distance formula. This formula can be written as d=sqrt((x2-x1)2+(y2-y1)2). I’d advise looking up the formula, as mobile wont let me format the exponents. Plug in your values, and you should get d=sqrt(3481+3136). Simplify this, and you will get d=sqrt(6617).
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Which transformation will map an isosceles trapezoid onto itself? rotation by 180° about its center, reflection across a diagona
alukav5142 [94]

Answer:

The correct option is 4.

Step-by-step explanation:

The non parallel sides of an isosceles trapezoid are congruent.

The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if

1. Reflection across a line joining the midpoints of parallel sides.

2. Rotation by 360° about its center.

3. Rotation by 360° about origin.

If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.

If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.

If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.

After rotation by 360° about the center, we always get an onto figure.

Therefore option 4 is correct.

6 0
3 years ago
Read 2 more answers
I MARK THE BRAINLIEST! PLEASE TELL ME IF THIS IS RIGHT AND IF IT IS WRONG TO TELL ME THE ANSWER NO GUESSING I WILL REPORT YOU!!!
jok3333 [9.3K]

Answer: (2,6) is correct

3 0
3 years ago
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Plzzzzz help tomorrow is my maths test​
maria [59]

16 ) GO...

a) 5487 × ( 65 + 35 ) = 5487 × 100 = 548700

------------------------------------------------------

b) 647 × ( 112 - 12 ) = 647 × 100 = 64700

------------------------------------------------------

c) 502 × 1,008 = ( 500 + 2 ) ( 1,000 + 8 ) = 500,000 + 4,000 + 2,000 + 16 = 506,016

____________________________

17 ) Go...

a) 585 × 16 × 625 = 585 × 4 × 4 × 25 × 25 = 585 × 4 × 25 × 4 × 25 = 585 × 100 × 100 = 5,850,000

------------------------------------------------------

b) 147 × 50 × 2 = 147 × 100 = 14,700

____________________________

18) Go...

look : 1729 = ( 1400 + 329 ) = 7 × 200 + 7 × 47 = 7 ( 200 + 47 ) = 7 × 247 = 7 × 13 × 19

____________________________

19) Go...

look : 96 = 16 × 6 = 2⁴ × 2 × 3 = 2⁵ × 3

Thus ;

the factors are : ( 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 96 )

3 0
3 years ago
The diagram shows a vertical tower DC on a horizontal ground ABC.
sasho [114]
The measure of ABD=180°- 54°=26°
and then the measure of ADB= x
and x + 26° + 28°= 180°, sum of anlgle in a triagle property
 it means x= 180°- 26-28=126°
application of sinus law in the triangle

sin 28 / BD = sin 126/ AD = sin 26/ 25 so we can deduce that 

AD= 25sin126 / sin26= 46.12
let 's consider the triangle ADC, so for finding h, we have sin 28 = h / AD
and then h = AD x sin28=21.65

<span>Calculate the height of the tower is 21.65</span>

6 0
3 years ago
In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin
denpristay [2]

Answer:

a) Z = -0.8

b) Z = 2.4

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 210, \sigma = 25

a) Find the z-score of John who scored 190

Z = \frac{X - \mu}{\sigma}

Z = \frac{190 - 210}{25}

Z = -0.8

b) Find the z-score of Bill who scored 270

Z = \frac{X - \mu}{\sigma}

Z = \frac{270 - 210}{25}

Z = 2.4

c) If Mary had a score of 1.25, what was Mary’s score?

Z = \frac{X - \mu}{\sigma}

1.25 = \frac{X - 210}{25}

X - 210 = 25*1.25

X = 241.25

Mary's score was 241.25.

3 0
3 years ago
Read 2 more answers
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