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motikmotik
3 years ago
11

Help me please help ​

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Step-by-step explanation:

n + 34 = 34 + n

commutative means you can change the sequence of the parts without changing the overall result.

g × h = h × g

s + 0 = s

b × 1 = b

the identity property points are to show that adding 0 or multiplying by 1 does not change anything.

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Three years ago, Claire borrowed money from her father to pay for a class trip. She agreed to pay 6% simple annual interest on t
Nadya [2.5K]

Answer:

Claire borrowed $500 from her father.

Step-by-step explanation:

Interest = $90

p = ?

r = 6% or 0.06

t = 3

Simple interest formula is :

I=p\times r\times t

Putting values in formula we get;

90=p\times0.06\times3

90=0.18p

p = $500

Hence, Claire borrowed $500 from her father.

3 0
3 years ago
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The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). On a coordinate plane, line A B has points (4, 1) and (n
GarryVolchara [31]

Answer:

(-1,1),(4,-2)

Step-by-step explanation:

Given: The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).

To find: coordinates of vertex of the right angle

Solution:

Let C be point (x,y)

Distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AC=\sqrt{(x-4)^2+(y-1)^2}\\BC=\sqrt{(x+1)^2+(y+2)^2}\\AB=\sqrt{(4+1)^2+(1+2)^2}=\sqrt{25+9}=\sqrt{34}

ΔABC is a right angled triangle, suing Pythagoras theorem (square of hypotenuse is equal to sum of squares of base and perpendicular)

34=\left [ (x-4)^2+(y-1)^2 \right ]+\left [ (x+1)^2+(y+2)^2 \right ]

Put (x,y)=(-1,1)

34=\left [ (-1-4)^2+(1-1)^2 \right ]+\left [ (-1+1)^2+(1+2)^2 \right ]\\34=25+9\\34=34

which is true. So, (-1,1) can be a vertex

Put (x,y)=(4,-2)

34=\left [ (4-4)^2+(-2-1)^2 \right ]+\left [ (4+1)^2+(-2+2)^2 \right ]\\34=9+25\\34=34

which is true. So, (4,-2) can be a vertex

Put (x,y)=(1,1)

34=\left [ (1-4)^2+(1-1)^2 \right ]+\left [ (1+1)^2+(1+2)^2 \right ]\\34=9+4+9\\34=22

which is not true. So, (1,1) cannot be a vertex

Put (x,y)=(2,-2)

34=\left [ (2-4)^2+(-2-1)^2 \right ]+\left [ (2+1)^2+(-2+2)^2 \right ]\\34=4+9+9\\34=22

which is not true. So, (2,-2) cannot be a vertex

Put (x,y)=(4,-1)

34=\left [ (4-4)^2+(-1-1)^2 \right ]+\left [ (4+1)^2+(-1+2)^2 \right ]\\34=4+25+1\\34=30

which is not true. So, (4,-1) cannot be a vertex

Put (x,y)=(-1,4)

34=\left [ (-1-4)^2+(4-1)^2 \right ]+\left [ (-1+1)^2+(4+2)^2 \right ]\\34=25+9+36\\34=70

which is not true. So, (-1,4) cannot be a vertex

So, possible points for the vertex are (-1,1),(4,-2)

7 0
3 years ago
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dsp73

Answer: <u>105m²</u>

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = \frac{bh}{2\\}

so, A = \frac{6(8)}{2} (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

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Select the expression that makes the equation true (−3⋅10 3 )⋅(4⋅10 6 )<br>select 2 answers
scZoUnD [109]
The answer is letter c , because if you multiply the number 4 that is outside with the third power you will get 12 and with the second power you will get 8 and base number stays the same. As an answer you’ll get the same numbers as the expression
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A triangular prism has a base area of 15 cm² and has a volume of 600 What is the 2 cm height of the prism?
Oxana [17]

Answer:

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Step-by-step explanation:

The volume of a prism is the base area * height.  We know the base area is 15 and the volume is 600, so the height must be 600/15 = 40.

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