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anygoal [31]
3 years ago
5

A segment has endpoints at (−9,5) and (34,5). How many units long is the segment?

Mathematics
1 answer:
adoni [48]3 years ago
4 0
We have that
<span>points (−9,5) and (34,5)

step 1
find the distance between two points
d=</span>√[(y2-y1)²+(x2-x1)²]-----> d=√[(5-5)²+(34+9)²]-----> d=√43²----> d=43 units

the answer is
43 units
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7. A clothing salesman wants to earn $6,000 in May. He receives a base salary of $4,000 per month as well as 10%
olya-2409 [2.1K]

Answer:

No of clothes to be sold to gain $6000=20,000

Given:

Base salary = $4000

Rate of Commission = 10%

Amount salesman wants to earn in May = $6000

To find:

How much clothing units needed to be sold in order gain $6000 in may

<u>Step by Step Explanation: </u>

Solution;

According to the formula;

\text { Amount earned through commission }=\text { Total amount earned - Base salary }

=6000 - 4000 = 2000

Also we know,  

\text { Amount earned through commission }=\text { Rate of Commission } \times \text { clothing to be sold }

Let the commission amount be x

10 \% \times x=2000

10 / 100 \times x=2000

0.1 \times x=2000

x=20,000 \div 0.1

x=20,000

Result:

Hence, the clothing to be sold in order to earn $6000 is 20,000 units.

4 0
3 years ago
Jade solved the following equation:
sergey [27]

step 1 has incorrect justification

4 0
3 years ago
Researchers are concerned about the impact of students working while they are enrolled in classes, and they’d like to know if st
antoniya [11.8K]

Answer:

The 95% confidence interval based on this sample is =

[6.41, 7.79]

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × standard deviation/√n

Sample mean = 7.1 hours

Standard deviation = 5 hours

n = 200 students

z = 95% confidence interval z score

= 1.96

C.I = 7.1 ± 1.96 × 5/√200

C.I = 7.1 ± 0.693

Hence, Confidence Interval

= 7.1 - 0.693

= 6.407

Approximately = 6.41

= 7.1 + 0.693

= 7.793

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Therefore, the 95% confidence interval based on this sample is

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6 0
2 years ago
(5,12) with a slope m=10 the equation of the line is
motikmotik

Answer:

y= 10x-38

Step-by-step explanation:

Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

Given that m=10,

y= 10x +c

Now substitute the coordinates into the equation.

When y=12, x=5,

12= 10(5) +c

12= 50 +c

c= 12 -50

c= -38

Thus the equation of the line is y= 10x -38

8 0
3 years ago
Find the volume of a right circular cone that has a height of 2.7 ft and a base with a diameter of 14.4 ft. Round your answer to
irina1246 [14]

Answer:

V≈146.57ft^3

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V=πr^2·h/3  since d is 14.4, we would divide it by 2 to find the radius which is 7.2

so V= π(7.2)^2· (2.7)/3

V≈146.57ft^3

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