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2 years ago

Geometry, Angles questions

Mathematics

1 answer:

vodka [1.7K]2 years ago

4 0

Answer:

X= 82⁰

z= 82⁰

Step-by-step explanation:

for X:

we can use co-interior angles sum up to make 180 so,

x+ 98= 180

x= 180-90= 82⁰

for z, we can use either angles on a straight line or corresponding angles

using angles on a straight line,

98 + z= 180

z= 180-98= 82⁰

using corresponding angles

corresponding angles are always equal and can be found in the F shape diagram when lines are parallel

therefore X and z are corresponding angles and since we found x= 82⁰ then z= 82⁰

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I want to take a survey of students currently enrolled in my statistics course. There are 250 of them, so I number them from 001

emmasim [6.3K]

Answer:

174, 095, 148, 064, 239

Step-by-step explanation:

This is a "simple random sample" problem in which we randomly select a sample from a larger population therefore everyone has same probability of being selected.

Total students: 250

Labeled as 001, 002, 003,.....250

The generated random number table is:

69041 65817 87174 09514 8174 06423 93758 23612 17894

Now we have to arrange/sort this random number table in groups of three numbers.

690, 416, 581, 787, 174, 095, 148, 174, 064, 239, 375, 823, 612, 178, 94

Now we have to select first 5 distinct numbers in the range of 001 to 250

The first four numbers (690, 416, 581, 787) are out of range so ignore them.

Next we find our first three numbers (174, 095, 148)

Next we have number (174) again that we have already selected so ignore it.

Next we find our fourth and fifth number (064, 239)

We are done with selecting 5 numbers and these are:

174, 095, 148, 064, 239

6 0

3 years ago

An inelastic collision occurs between a large truck and smaller sedan. Calculate the final velocity of the objects and explain t

k0ka [10]

The final velocity is 15.8 m/s in the forward direction

Step-by-step explanation:

An inelastic collision occurs when the two object after the collision stick together.

In any case, the total momentum of the system is conserved before and after the collision, in absence of external forces. Therefore, we can write:

$p_i = p_f\\m u + MU = (m+M)v$

where in this problem:

m = 1300 kg is the mass of the small sedan

u = 20 m/s is the initial velocity of the small sedan

M = 7100 kg is the mass of the truck

U = 15 m/s is the initial velocity of the truck

v is the final combined velocity of the small sedan + truck

Here we have taken both the velocity of the sedan and the truck in the positive (forward) direction

Solving the equation for v, we find the final velocity:

$v=\frac{mu+MU}{m+M}=\frac{(1300)(20)+(7100)(15)}{1300+7100}=15.8 m/s$

And since the sign is positive, this means that is direction is the same as the initial direction of the sedan and the truck, so forward.

Learn more about collisions:

brainly.com/question/13966693#

brainly.com/question/6439920

#LearnwithBrainly

7 0

4 years ago

A 50.0 gram sample decays to 25 grams in 14.4 seconds. What is its half-life?

PIT_PIT [208]

Answer:

The half life is 14.4 seconds because the half life is the time it takes for half of a sample to decay.

Hope this helps!

5 0

3 years ago

Please answer, I will mark "BRAINLY" if good

rjkz [21]

1.20 because you add

6 0

3 years ago

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The ratio of nickels to dimes that Wade had saved in his bank was 10/13. If total number of nickels and dimes saved was 391, how

photoshop1234 [79]

Answer:

idk if this is right but i think its just 91

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Geometry, Angles questions ​

Geometry, Angles questions