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KengaRu [80]
3 years ago
11

What percent of 208 is 197.6

Mathematics
1 answer:
ikadub [295]3 years ago
3 0
Your percent is going to be <span>-203.008</span>
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Prove that triangle with side lengths of x^2-1, 2x, x^2+1 is a right triangle.
Brrunno [24]
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.

Let's find a^2 and b^2 by squaring the first 2 side lengths.

(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2

Then add the two to find c^2
x^4+ 2x^2 +1= c^2

Root both sides
x^2+1=c

Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
7 0
2 years ago
What is the value of this -3 2/3 ÷ 1/3​
mihalych1998 [28]

Answer:

-11

Step-by-step explanation:

Convert -3 2/3 to -11/3

-11/3÷1/3

Dividing by 1/3 is the same as multipling by 3

so the equation becomes

(-11/3)(3)

=-11

8 0
3 years ago
Read 2 more answers
Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.
Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point P(x,y,z) such that its distance from either the point A(3,4,-5) or B(-2,1,4) is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}

similarly, we can find the distance BP

BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

since both distances are exactly the same we can equate them

AP = BP

\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0
2 years ago
If 2tanA=3tanB,then prove that tan(A-B)=sin2B/(5-cos2B) ...?
andreev551 [17]
Tan ( A - B ) = ( tan A - tan B ) / ( 1 + tan A tan B )
tan A = 3 tan B/2
tan ( A - B ) = ((3 tan B/ 2)-tan B) / ( 1 + 3 tan² B/2)=
= (tan B/2)  / ( 2 + 3 sin²B/cos²B )=
= (sin B / cos B) / (( 2cos² B+3sin²B)/cos²B)=
=( sin B cos B ) / ( 2 cos²B + 3 ( 1 - cos² B ) ) =
= (sin B cos B ) / ( 2 cos² B + 3 - 3 cos² B ) =
= ( sin 2 B ) / 2 ( 3 - cos² B ) =
= ( sin 2 B ) / ( 6 - cos² B )=
= ( sin 2 B ) / ( 5 + 1 - 2 cos² B )=
= ( sin 2 B ) / ( 5 + sin² B + cos ² B - 2 cos² B ) =
= ( sin 2 B ) / ( 5 - ( cos² B - sin² B ) ) =
= ( sin 2 B ) / ( 5 - cos 2 B )  - correct 
8 0
2 years ago
What is the volume of the pyramid shown?
Vilka [71]

Answer:

The answer to your question is 440 in³, this is my result I can not see the height in the picture I think the number is 40 in

Step-by-step explanation:

Data

length of a side = 6 in

height = 40 in           Is really 40?

Volume of a square pyramid = ?

Process

1.- Calculate the area of the base

Ab = 6 x 6

    = 36 in²

2.- Calculate the volume of the Pyramid

Volume of a square pyramid = 1/3 (36 x 40)

                                                = 1440 / 3

                                                = 480 in³

7 0
3 years ago
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