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AleksAgata [21]
3 years ago
9

In a coordinate plane, triangle ABC has vertices A(- 4, 5), B(- 4, - 4) , and C(3,-4), . Find the perimeter of triangle ABC to t

he nearest tenth.
Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer: perimeter of triangle ABC to the nearest tenth = 27.4

Step-by-step explanation: Given that

vertices are

A(- 4, 5), B(- 4, - 4) , and C(3,-4)

Length AB = root( [-4-5]^2 + [-4+4]^2)

Length AB = sqr(9^2) = 9

Length AC = root( [-4-5]^2 + [3+4]^2)

Length AC = sqr( 9^2 + 7^2)

Length AC = sqr(130) = 11.4

Length BC = root( [-4+4]^2 + [3+4]^2)

Length BC = sqr( 7^2) = 7

Perimeter = 9 + 11.4 + 7 = 27.4

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Answer:

Juan would need to fill up the 1/4 measuring cup 24 times.

Step-by-step explanation:

So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!

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Solve this equations 3x+4x-8=6(x-3)+x
Irina-Kira [14]

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Step-by-step explanation:

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2 years ago
In two or more complete sentences, explain how to use ordered pairs of points in x) = 2x + 5 and g(x)=
Naddika [18.5K]

Answer:

see the explanation

Step-by-step explanation:

we have

A(x)=2x+5

Find the inverse of A(x)

Let

y=A(x)

y=2x+5

Exchange the variables x for y and y for x

x=2y+5

Isolate the variable y

2y=x-5

y=\frac{x-5}{2}

Let

g(x)=y

g(x)=\frac{x-5}{2} ------> function inverse of A(x)

<em>Explanation</em>

For x=1

Find the value of A(x)

A(1)=2(1)+5=7

The point (1,7) is a solution for A(x)

That means-----> The point (7,1) is a solution for the function inverse g(x)

Verify

For x=7

g(7)=\frac{7-5}{2}=1

The point (7,1) is a solution for g(x)

therefore

A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)

8 0
3 years ago
A car mechanic rounds a car's weight to the nearest thousand. He says the weight is 4,000 pounds. What is the least and the grea
serg [7]

Answer:

Step-by-step explanation:

Given that a car mechanic rounds a car's weight to the nearest thousand

By rounding off to nearest 1000, we mean we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.

To simplify the above we can say the 100th digit if greater than or equal to 5, we round off the 1000th digit by 1 up otherwise leave it as it is

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Here the answer after rounding off is 4000

This is possible if the weight was atleast 3500 because in this case he would round off to 4000 or highest 4499.

If 3499 or 4500 the rounding off would not have been 4000

So least number is 3500 and greatest number is 4499.

5 0
3 years ago
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