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creativ13 [48]
3 years ago
10

A subway train makes six stops of equal length during its 21 km run. The train is actually moving for 20 minutes of the trip. At

most how long can the train remain at each station if the average speed for the trip, including stops, is to be at least 36 km/hr?
\frac{d}{t}  = r
​
Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0

Answer:

The subway train can stop for a maximum of 2.5 minutes on each stop.

Step-by-step explanation:

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Which equation could be used to find the length of the hypotenuse?
Rudiy27

Answer:

Step-by-step explanation:

leg1² + leg2²  = hypotenuse²

AC² + BC² = AB²

2² +  5² = c²

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The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr
malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

b = 6 + 2h

Substituting we have:

88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0

We divide between 2 on both sides:

h ^ 2 + 3h-88 = 0

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

(h + 11) (h-8) = 0

We have two roots:

h = -11\\h = 8

We choose the positive value.

Thus, the base of the triangle is:b = 6 + 2 (8) = 22

Answer:

The base of the triangle is 22 units.

5 0
3 years ago
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What value of R makes r/ -11 = (-3) true
marissa [1.9K]

Answer:

The value of r=33 which makes the equation true.

Step-by-step explanation:

Given the equation

\frac{r}{-11}=-3

We have to find the value of r for which the equation must be true.

solving the equation

\frac{r}{-11}=-3

Multiply both sides by -11

\frac{r\left(-11\right)}{-11}=\left(-3\right)\left(-11\right)

r=33

Therefore, the value of r=33 which makes the equation true.

<u>VERIFICATION:</u>

Putting r=33 in the equation

\frac{r}{-11}=-3

\frac{33}{-11}=-3

-3=-3              ∵ \frac{33}{-11}=-3

L.H.S = R.H.S

Therefore, the value of r=33 which makes the equation true.

7 0
3 years ago
What is 10000 more than 46952 and what is the missing<br> number
Morgarella [4.7K]
10000 more than 46952 is 56952
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Perfect Square Trinomials: 1. Give an example of a perfect square trinomial. 2. Explain why it is a perfect square trinomial. 3.
Ainat [17]

Answer:

1. x^{2} -12x+36 is a perfect square trinomial

Step-by-step explanation:

2. Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself.

3. I will upload a picture showing my work

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