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3 years ago

The table shows the distance that two trains are from Center Station at various times of the day.

Mathematics

2 answers:

mash [69]3 years ago

8 0

Answer:

Train 2 is traveling 4 miles per hour faster than train 1.

Step-by-step explanation

:)))))

BARSIC [14]3 years ago

7 0

Answer: Train 2 is traveling 4 miles per hour faster than train 1.

Step-by-step explanation:

You might be interested in

Find the length of the missing side in the figure below. a = _______ cm.

WITCHER [35]

Answer:

$\frac{2 \sqrt{177} }{5}$

5.32cm correct to 2 decimal places

Step-by-step explanation:

This is a right angled triangle from what I know so we have to apply pythagoras theorem.

${7.1}^{2} = {a}^{2} + {4.7}^{2}$

we need to rearrange this to find a²

${a}^{2} = {7.1}^{2} - {4.7}^{2}$

$a = \sqrt{ \frac{708}{25} }$

This can either be written as a fraction or decimal.

$a = \frac{2 \sqrt{177} }{5}$

$a = 5.32$

correct to 2 decimal places

5 0

2 years ago

I need help asap pls and thank you ;)

olga55 [171]

Answer:

$\text{Length of AB is }\frac{ah}{a+h}$

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP (∵ corresponding angles)

∠NDC=∠NPM (∵ corresponding angles)

By AA similarity rule, ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

$\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\$

$KA(\frac{h}{x}-1)=AP$

$ND(\frac{h}{x}-1)=PD$

Adding above two, we get

$(KA+ND)(\frac{h}{x}-1)=(AP+PD)$

⇒ $(KN-AD)=\frac{x}{(\frac{h}{x}-1)}$

⇒ $a-x=\frac{x}{(\frac{h}{x}-1)}$

⇒ $a-x=\frac{x^2}{h-x}$

⇒ $x^2=ah-ax-xh+x^2$

⇒ $x(h+a)=ah$

⇒ $x=\frac{ah}{a+h}$

3 0

3 years ago

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

Radda [10]

Answer:

The correct answer is 47.5%, or 0.475.

Step-by-step explanation:

3 0

3 years ago

Eddie Hibbs earns a gross income of $42,300 a

Maslowich

Using proportions, it is found that his tax rate is of 28.84%.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

His tax rate is the proportion that the <u>deductions are of the total salary</u>, hence:

12,200/42,300 = 0.2884 = 28.84%.

Hence his tax rate is of 28.84%.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0

2 years ago

Divide 25.84 divide by 4

Nadusha1986 [10]

I believe it is 6.46

6 0

4 years ago

Read 2 more answers