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3 years ago

An equilateral triangle has three congruent that measure 1 3/4 inches on each side. What is the

Mathematics

1 answer:

alexandr402 [8]3 years ago

7 0

Answer:

Here is the equation

Step-by-step explanation:

First add the wholes, 1 + 1 + 1. Then add the thirds, because the denominator is the same, this will be easy for you, ( 3/4 +3/4 +3/4)

1 3/4

+ 1 3/4

3 9/4 = 5 1/4

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in 1900, greenville had a population of 4000 people. Greenville's population increased by 100 people each year. Springfield had

jasenka [17]

Answer: year 1948

Step-by-step explanation:

1900 is our t = 0

The population of Greenville can be written as:

G = 4000 + 100*t

the equation for Springfield can be written as:

S = 1000*(1.04)^t

we want to find the value of t that makes S(t) = G(t)

4000 + 100*t = 1000*(1.04)^t

(4000 + 100*t) = 1.04^t

4 + 0.1*t = 1.04^t

now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:

4 = 1.04^t - 0.1*t

You will find that the correct value is t = 48

So we can assume that in year 1948 the populations will be about the same.

5 0

3 years ago

A family went out to eat. Below is the number of coen dogs tbat each of the four people ate. Find the mean absolute deviation (m

Alexxandr [17]

Answer:

1.25

Step-by-step explanation:

Give the data:

X : 1 1/2 ___ 0 _____ 4 ______ 2 1/2

Mean absolute deviation (MAD) :

Σ|x - xbar| ÷ n

xbar = Σx/ n

Σx = (1 1/2 + 0 + 4 + 2 1/2) = 8

xbar = 8/4 = 2

|x - xbar| :

|1 1/2 - 2|= 1/2

|0 - 2| = 2

|4 - 2| = 2

|2 1/2 - 2| = 1/2

Therefore,

MAD = (1/2 + 2 + 2 + 1/2) / n

MAD = 5/4

MAD = 1.25

4 0

3 years ago

To the nearest millimeter, a cell phone is 74 mm long and 44 mm wide. What is the ratio of the width to the length?

Vesna [10]

Answer:

compare the width to the length, or 42 mm/ 74mm

Step-by-step explanation:

7 0

3 years ago

How many different ways are there to make 30 cents with pennies nickels dimes or quarters?

never [62]

There is 1 way to make 30 cents using only pennies. (i.e. 30 pennies = 30 cents)

There is 1 way to make 30 cents using only nickels. (i.e. 6 nickels = 30 cents)

There is 1 way to make 30 cents using only dimes. (i.e. 3 dimes = 30 cents)

There are 5 ways to make 30 cents using only pennies and nickels. (i.e. 25 pennies + 1 nickel = 30 cents, 20 pennies + 2 nickels = 30 cents . . . )

There are 2 ways of making 30 cents using only pennies and dimes. (i.e. 20 pennies + 1 dime = 30 cents, 10 pennies + 2 dimes = 30 cents)

There is 1 way of making 30 cents using only pennies and quarters. (i.e. 5 pennies + 1 quarter = 30 cents)

There are 2 ways of making 30 cents using only nickels and dimes. (i.e. 4 nickels + 1 dime = 30 cents, 2 nickels + 2 dimes = 30 cents)

There is 1 way of making 30 cents using only nickels and quarters. (i.e. 1 nickel + 1 quarter = 30 cents)

There are 4 ways to make 30 cents using only pennies, nickels and dimes. (i.e. 15 pennies + 1 nickel + 1 dime = 30 cents, 10 pennies + 2 nickels + 1 dime = 30 cents . . . )

Adding all the possible combinations therefore, there are 18 different ways are there to make 30 cents with pennies nickels dimes or quarters.

4 0

4 years ago

What is the slope of the line?

melisa1 [442]

<h3>Answer:</h3>

Answer:

$\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ slope \ of \ line \ is \ 1.}}}$

<h3>Step-by-step explanation:</h3>

Here a graph of line is given and we need to find the slope. So here we can see that the line intersects y - axis at (0,2) and x - axis at (2,0 ). And we know that the slope of the line is tan∅.

$\green{\bf \implies Slope = tan\theta }\\\\\bf\implies Slope = \dfrac{perpendicular}{base} \\\\\bf \implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope = \dfrac{2-0}{2-0} \\\\\bf\implies Slope =\dfrac{2}{2}\\\\\bf\implies \boxed{\red{\bf Slope = 1 }}$

<h3>Hence the slope of the line is 1. </h3>

3 0

3 years ago