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zhannawk [14.2K]
3 years ago
11

H e l p Me P l e a s e

Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0

Answer:

The experimental is 3/20,cause the red sector was picked 3 times in 20 trials.

Step-by-step explanation:

krok68 [10]3 years ago
5 0

The theorical probability is 1/4, because there are 4 possible outcome, and they are equally likely to be picked (the sectors have the same area)

The experimental probability is 3/20, becuase the red sector was picked 3 times in 20 trials.

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An airplane at 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equa
IrinaVladis [17]

Answer:

30100-2150x and it would take 14 minutes to reach the ground.

Step-by-step explanation:

30100 feet is out starting y coordinate, and since 2150 is always changing depending on the amount of time we multiple it by x (the amount of minutes) therefor we can create the equation 30100-2150x and when we plus in 14 the equation would equal 0

5 0
3 years ago
Find the measure of any angle between 0 degrees and 360 degrees coterminal with an angle 354 degrees in standard position.
stepan [7]

9514 1404 393

Answer:

  c. 354 degrees

Step-by-step explanation:

The only angle in the range 0 to 360° that will be coterminal with an angle in that range is one with the same measure:

  354°

7 0
3 years ago
The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime
Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

<u><em>The complete question is</em></u>

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

so

\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

so

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

z=\frac{2}{3}

so

\frac{2}{3}=\frac{CD}{GH}}

we have

GH=6\ cm

substitute

\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

so

AB=3DC

DC=CD=4\ cm

substitute

AB=3(4)=12\ cm

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

so

BC=AD

we have

AD=8\ cm

therefore

BC=8\ cm

step 4

Find the perimeter of trapezoid ABCD

P=AB+BC+CD+AD

substitute the values

P=12+8+4+8=32\ cm

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

so

z=\frac{x}{y}

we have

z=\frac{2}{3}

x=32\ cm

substitute

\frac{2}{3}=\frac{32}{y}

y=32(3)/2=48\ cm

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0
3 years ago
PLZZ help me asap!! 70points!!
weqwewe [10]

Answer:

1. Given.

2. Opposite Sides OF A Parallelogram Are Congruent.

3. Corresponding Angles Postulate.

4. Substitution

5. ASA Congruence Postulate

6. Definition Of A Parallelogram.

Step-by-step explanation:

7 0
3 years ago
Plz hurry!!!! thank you!!!!
RoseWind [281]

Answer:

m\angle KLM=53.13^o

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle KOM

In the triangle KOM

we have

KO=MO=r=5\ units

KM=8\ units

Applying the law of cosines

8^2=5^2+5^2-2(5)(5)cos(KOM)

64=50-50cos(KOM)

50cos(KOM)=50-64

50cos(KOM)=-14

cos(KOM)=-14/50

m\angle KOM=cos^{-1}(-14/50)

m\angle KOM=106.26^o

step 2

Find the measure of the arc KM

we know that

arc\ KM=m\angle KOM ----> by central angle

we have

m\angle KOM=106.26^o

so

arc\ KM=106.26^o

step 3

Find the measure of angle KLM

we know that

The inscribed angle is half that of the arc comprising  

m\angle KLM=\frac{1}{2}[arc\ KM]

we have

arc\ KM=106.26^o

substitute

m\angle KLM=\frac{1}{2}[106.26^o]

m\angle KLM=53.13^o

7 0
3 years ago
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