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vovangra [49]
3 years ago
13

Identify the percent, amount, and base in this problem. 75% of what number is 30?

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0
I hope i answered it right but..

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What is the answer for x? <br><br> X+3=5​
svlad2 [7]

Answer: X = 2

Step-by-step explanation: To find the value of "X" in this equation, we first need to subtract 3 from both sides.

Image provided.

3 0
3 years ago
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What is the slope of (2,-1) and (8,4)
qaws [65]

Answer:

5/6

Step-by-step explanation:

slope = 4-(-1)/8-2 = 5/6

5 0
1 year ago
One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up
Anit [1.1K]

Let

A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)

using a graph tool

see the attached figure

The figure is a triangle

we know that

<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

Area=\sqrt{p*(p-a)*(p-b)*(p-c)}

where

p is  is half the perimeter of the triangle

 a,b,c are the lengths of the sides of a triangle

so

Step 1

<u>Find the length sides of the triangle</u>

a) <u>Find the distance AB</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}

d =3.5\ mi}

b) <u>Find the distance AC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}

d =6.15\ mi}

c) <u>Find the distance BC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}

d =2.75\ mi}

Step 2

<u>Find the perimeter of the triangle</u>

Perimeter= 3.5+6.15+2.75 =12.4\ mi

<u>Find the half of the perimeter </u>

p=\frac{12.4}{2} = 6.2\ mi

Step 3

<u>Find the area of the triangle</u>

Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}

Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}

Area= 1.69\ mi^{2}

therefore

<u>the answer is the option </u>

a) 1.65 mi^2.

4 0
3 years ago
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Estimate 4704 - 1193 by first rounding each number to the nearest hundred.
kondor19780726 [428]

Answer:

4700 minus 1200 = 3500

Step-by-step explanation:

round 4704 down to 4700 and 1193 up to 1200

8 0
2 years ago
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X^{2} - 8x + 7 = 0<br> Solve by completing the square. Also can you include steps?
iren [92.7K]

Answer:

{1, 7}

Step-by-step explanation:

Start with x^2 - 8x + 7 = 0.

We want to modify the first two terms to resemble x^2 - ax + b - b, where a is the coefficient (here -8) of the x term and b is the square of half of a.

Here, a = -8.  Half of that is -4.  The square of -4 is 16, and this is the value of b.

Write out x^2 - 8x     as    x^2 - 8x + 16 - 16.  This is the perfect square of -4, added to x^2 - 8x and then subtracted from the result

Then the original equation, x^2 - 8x + 7 = 0, can be rewritten as:

x^2 - 8x + 16 - 16 + 7 = 0, and then as (x - 4)^2 - 9, or (x - 4)^2 = 9.

We want to solve this result for x.  To do this, take the square root of both sides:

x - 4 = ±√9, or x - 4 = ±3.

Adding 4 to both sides, we get:

x = 4 ± 3.  Thus, the solutions are x = 4 + 3 = 7 and x = 4 - 3 = 1.

6 0
3 years ago
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