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algol [13]
3 years ago
11

Add this problem 0645 + 0745

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0

Answer:1,390

Step-by-step explanation: add the top and bottom

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AB lies on a number line. The coordinate of point A is -6. Given that AB=20, what are two possible coordinates for point B?
Dafna1 [17]

Answer:

<em>-26 or 14</em>

Step-by-step explanation:

Given that

Coordinate of point A is -6.

Length of AB = 20

To find:

Coordinates for the point B = ?

Solution:

We are given that:

AB = 20

In other words, we can use modulus function to define the distance between A and B:

|Coordinates of B - Coordinates of A| = 20

Let the coordinates of B = x

Kindly refer to the attached image for the given situation.

Point B might be either on the left or on the right side of A.

That means:

|x-(-6)| = 20\\\Rightarrow |x+6|=20

Now, let us have a look at the modulus function:

|y|=\left \{ {-{y}\ if\ y0} \right.

So,

|x+6|=\left \{ {-{(x+6)}\ if\ (x+6)0} \right.

(x+6 ) =20\\\Rightarrow x =14

-(x+6 ) =20\\\Rightarrow x =-26

Therefore, the answer is:

<em>-26 or 14</em>

4 0
3 years ago
You and your friend are buying throw blankets with your names embroidered on them.The cost of the throw blanket is x dollars and
-BARSIC- [3]
The cost of the blanket is $20
The cost of each letter is $1.50
5 0
3 years ago
Read 2 more answers
Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that
timama [110]

Answer:

Step-by-step explanation:

Given that evolution theory hypothesizes that people should spontaneously follow a​ 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.

Sample size n = 8

df = 8- 1=7

Since population std deviation is not known, and sample size is small we can use only t test

H-0: x bar = 24\\H_a: x bar \neq 24

(two tailed test at 5% level of significance)

24

28

24

22

25

26

26

25

 

mean 25

 

sd 3.142857143

 

se 1.111167799

Test statistic = Mean diff/se = 1.595

p = 0.1546

since p >0.05, accept null hypothesis.

There is no evidence to prove that the steady cycle is different from 24 hours.

4 0
3 years ago
Find the area of the shaded portion in the equilateral triangle with sides 6.
LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
7 0
3 years ago
Abigail made a quilt that has an area of 4800 square inches. The length of the quilt is 1 1/3 times the width of the quilt. What
mafiozo [28]

Answer:

L=132.66

36.18=W

Step-by-step explanation:

length=L

width=W

Area=A

A=L×W

L=11/3W

4800=11/3W×W

4800=11/3W²

3/11·4800=11/3W²·3/11

√1309.1=√W²

36.18=W

L=11/3×36.18

L=132.66

All answers are approximated.




6 0
3 years ago
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