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11Alexandr11 [23.1K]
3 years ago
5

Help on 3,4,5 please!

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

  3.  DF = 15

  4.  (x +y +2)(x +y +3)

  5. Tuesday

Step-by-step explanation:

3. The angle congruence tells you the triangles are similar. Corresponding sides have a ratio of 5/4:

  DE/AB = 10/8 = 5/4

  EF/BC = 12.5/10 = 5/4

  DF/AC = ?/12 = 5/4

Multiplying by 12, we find ...

  DF = 12(5/4) = 15

__

4. The first three terms look like (x+y)². The next two look like 5(x+y). So we can group terms to make the expression look like ...

  (x+y)² + 5(x+y) +6

We recognize factors of 6 that sum to give 5 as being 2 and 3, so we can factor this as ...

  (x+y +2)(x+y +3)

__

5. Jan 1 falls on a day of the week that is the first of 3 days of which there are 5 in the month.

There are 3 days between Monday and Friday, but only 2 days between Friday and Monday. Hence the 1st of January must fall on Tuesday that year.

There will be 4 of Fri, Sat, Sun, Mon, and 5 of Tue, Wed, Thu in the month.

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A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing
yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

  • Speed = 12 Km/h
  • Time = t
  • Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

  • Time (t) = 3.5 hours
  • Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

#SPJ1

6 0
2 years ago
2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and
Rashid [163]

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

4 0
3 years ago
What is the best approximation for the circumference of a circle with a diameter of 300 feet
garri49 [273]

Answer:

The answer is C=942.48

Step-by-step explanation:

You would figure this out by using the formula C=2πr.

So let's break this down.

Circumference (C) equals (=)  pi (π) times 2 times the radius of the circle.

Since the problem gave you the diameter which is the length from one side of the circle to the other, you have to divide the diameter in half. Which would give you a radius of 150.

Taking the 150 you would multiply 10*2*π.

Which would give you....(drumrollllll)

C=942.48

I hope this helps!!

p.s. have any more questions? Post them and comment the link!♥, Sadie

3 0
3 years ago
Read 2 more answers
What is the slope of this line
ohaa [14]
Slope-intercept form is given by y = mx + b. m represents the slope of the equation, and b represents the y-intercept.

m = 10.322

The slope is 10.322.
6 0
3 years ago
Six times a number decreased by eight is less than five times the number
Svetlanka [38]

6n-8<5n  decreased means subtract

n-8<0

n<8

8 0
3 years ago
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