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Ipatiy [6.2K]
3 years ago
5

If 1 inch represents 36 Miles on a map, how many miles does 4 1/4 inches represent?​

Mathematics
2 answers:
Tasya [4]3 years ago
6 0

Answer:

8.470588

Step-by-step explanation:

divide 36 miles into 4.25

strojnjashka [21]3 years ago
3 0

Answer:

153 miles

Step-by-step explanation:

36 * 4.25 = 153

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An oblique prism with a square base of edge length x United has a volume of 1/2 x3 cubic units. Which expression represents the
aleksklad [387]

Answer:

The answer is x units.

Step-by-step explanation:

We are tasked to solve for the expression that represents the height of the prism. We are given with the following values:

length = x² units

volume = x³ units

We will use the formula below:

V = length x height

x³ = x² * height

height = x³/x units

height = x units

The answer is x units.

7 0
2 years ago
Read 2 more answers
A charity gala is held in a hotel ballroom each year. The cost is $150 for the ballroom and an
Serga [27]

Answer: x=100$

Step-by-step explanation:

use the slope formula

y=mx+b

plug in what you have

y=2400, m=22.50x, b=150

solve for x

2400=22.50x+150

subtract 150 from both sides

2250=22.50x

divide 22.50 x from both sides

x=100 people

don't forget your units :)

5 0
2 years ago
The table contains four statements. For which function below are four statements true?
Elena L [17]

I pretty sure the best answer would be f(x)=cbrt(27-x)

cbrt means cube root by the way.

8 0
3 years ago
Read 2 more answers
write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent
pav-90 [236]

Answer with positive exponent = \left(\frac{1}{5}\right)^3 or  \frac{1}{5^3}

Answer with negative exponent = 5^{-3}

===========================================================

Explanation:

The rule we use is

a^b*a^c = a^{b+c}

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

This means

5^4*5^{-7} = 5^{4+(-7)} = 5^{-3}

To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.

So, 5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}

3 0
2 years ago
Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find
antiseptic1488 [7]

Answer:

D(1,4) - the fourth vertex, the area is equal to 12

Step-by-step explanation:

A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)

xo= (xA+xc)/2    x0= (-2+4)/2=1

y0=(yA+yC)/2    y0= (1+3)/2=2

0(1,2)

O is the midpoint of BD, so let's find the vertex D

X0= (xB+xD)/2     1= (1+xD)/2   xD=1

y0= (yB+yD)/2      2= (0+yD)/2    yD=4

D(1,4)

the vector DA is (-2-1, 1-4)= (-3,-3)

the vector DC is (4-1, 3-4)= (3,-1)

The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)

The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)

cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5

sinD= sqrt (1- 1/5)=2/ sqrt5

S=3sqrt2*sqrt10*2/sqrt5= 12

6 0
2 years ago
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