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patriot [66]
2 years ago
13

5. Heathcliff found a road map showing the driving route to a resort that he knows Gertrude enjoys. The map shows a roadway, sta

rting from Heathcliff's position, that goes 8 miles north, 5 miles east, 7 miles north and finally 3 miles east. How many miles will be saved if Heathcliff and Gertrude fly directly to the resort?
Mathematics
2 answers:
tigry1 [53]2 years ago
8 0
\sqrt{ (8+7)^{2} +(5+3)^{2} } =17.
the answer is 17 miles
Kipish [7]2 years ago
4 0

Answer: 6 miles will be saved.

Step-by-step explanation:

The total distance that he traveled is: 8 miles + 7 miles =15 miles to north.

And 5 miles + 3 miles = 8 miles to east.

Then the total distance is 15 miles + 8miles = 23 miles

If they did the direct path, the hipotenuse of a triangle with sides of 15miles and 8 miles, the distance would be:

D = √(15^2 + 8^2) = 17 miles

And the difference is equal to 23 miles - 17 miles  = 6 miles

So they will save 6 miles if they use a direct path.

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Write a real world problem that can be represented by the equation 3/4c=21
Black_prince [1.1K]

Answer: Real world problem is "A student have c toffee he distribute \frac{3}{4}th part of those toffees to his friends. He gave total 21 toffees to his friend".

Explanation:

Let a student have c number of toffees in his bag.

It is given that he distribute \frac{3}{4}th part of those toffees to his friends.

The \frac{3}{4}th part of c toffees is,

\frac{3c}{4}

The total number of distributed toffees is 21.

\frac{3c}{4}=21

It is the same as given equation.

If we change the equation in words it means the \frac{3}{4}th part of a number c is 21.

4 0
2 years ago
Read 2 more answers
Alex is 1.6 m tall and Noah is 1.5 times as tall as Alex. How much taller is Noah in centimeters?​
nika2105 [10]

Answer:

80 centimeters taller

Step-by-step explanation:

First, convert Alex's height from meters to centimeters by multiplying by 100 because there are 100 centimeters in one meter to get 160 centimeters. Now multiply 160 centimeters by 1.5 to get Noah's height, 240 centimeters. Finally, since we need to find their difference in height, subtract Alex's height of 160 centimeters from Noah's height of 240 to get 80 centimeters.

8 0
2 years ago
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –
elena55 [62]

Answer:


Step-by-step explanation:

Given is an algebraic polynomial of degree 5.

g(x) = 3x^5-2x^4+9x^3-x^2+12\\

Here leading term is p=3 and constant term is q =12

Factors of p are ±1,±2,±3

Factors of q are \frac{±1,±2,±3,±4,±6,±12} \\

Possible forms of p/q will be the same for any other polynomial of degree 5 with leading term =3 and constant term = 12

Hence any other polynomial

g(x) = 3x^5+ax^4+bx^3+cx^2+12

will have same possible zeroes of p/q, when a,b,c are rational.

Hence any polynomial of this type would have the same possible rational roots.

7 0
2 years ago
Label the place value for 987,164.302
alexdok [17]
9 hundred thousands
8 ten thousands
7 thousands
1 hundreds
6 tens
4 ones
.3 tenths
.00 hundredths
.002 thousandths
7 0
2 years ago
Read 2 more answers
Leo is testing different types of greenhouse material to determine which type is most effective for growing strawberry bushes. H
alexandr1967 [171]

Answer:

Hey there!

This is not a valid experiment because the sunshine each section received were not equal.

Let me know if this helps :)

7 0
2 years ago
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