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Readme [11.4K]
3 years ago
15

A rectangular door measures 2.5m by 1m. How long is the diagonal of the door

Mathematics
1 answer:
ra1l [238]3 years ago
7 0
Just do the multiplication
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LA and B are vertical angles. If m_A = (5x + 5) and m_B = (4x + 29), then find the measure of_A.​
OverLord2011 [107]

Answer:

If A and B are vertical angles, then they are congruent, so their measures are equal.

This means

(5x + 5)º = (4x + 29)º

5x + 5 = 4x + 29

x = 24

Then angle A has measure (5*24 + 5)º = 125º.

Step-by-step explanation:

5 0
3 years ago
Mayra bought $$ grams of rice. Anika bought $$ more than Mayra bought. Select ALL of the equations that represent the relationsh
Sonja [21]

Answer:

22

Step-by-step explanation:2

2

4 0
3 years ago
The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

7 0
3 years ago
A jar holds no more than 500 buttons. If 5 people bring 330 buttons each, how many jars are necessary to hold all of the buttons
Strike441 [17]

Answer:

We know

1 jar = 500 buttons

5 people bring 330 buttons EACH

We can find/solve by...

people x buttons = total buttons

total buttons / 500 = number of jars needed

So..

5 x 330 = 1650

1650 / 500 = 3.3

Your answer:

4 jars

Explanation

It's impossible to have 3.3 jars, so you must round up.

Step-by-step explanation:

8 0
3 years ago
If the value of a real number x satisfies -2x + 5= -1, then what is the value of 5x
Nitella [24]

-2x + 5 = -1

subtract 5 from both sides: -2x = -6

divide each side by -2: x = 3

plug in 3: 5(3)

multiply: 15

the value of 5x is 15.

8 0
3 years ago
Read 2 more answers
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