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raketka [301]
3 years ago
7

Given right triangle ABC with altitude BD drawn to hypotenuse

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

x=9

Step-by-step explanation:

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pentagon [3]

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4x= 40

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5 0
3 years ago
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Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What
RSB [31]

Answer: 8.76%

Step-by-step explanation:

The formula to find the simple interest is given by :-

I=Prt, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).   (1)

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 ,  t= 5 years

He has just withdrawn $2,876. i.e. Future value = $2,876

Interest (I)=$2,876-$2,000=$876  [Subtract Principal value from Future value]

Substitute all the above values of P , t , and I in the formula (1) , we get

876 =(2000)r(5)\\\\\Rightarrow\ r=\dfrac{876 }{2000\times5}\\\\\Rightarrow r=\dfrac{876}{10000}=0.0876

In percent , r=0.0876\times100=8.76\%

Hence, the rate of interest = 8.76%

6 0
3 years ago
Find the height of a triangle that has an area of 54 cm2 with the width 3 cm less than its height.
iren2701 [21]

The height of a triangle is 9 cm

<h3>What is Triangle?</h3>
  • A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
  • In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
  • In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
  • All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
  • Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

given that

let the height of the triangle be x

then the width is x-3

Area = \frac{height \times length}{2}

54 = x(x -3)

54 = x^2 -3x

x = 9

height = 9 cm

width = 6cm

Therefore, the height of a triangle is 9 cm.

To learn more about the triangle with the given link brainly.com/question/11897796

#SPJ4

8 0
1 year ago
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Kazeer [188]

3y+7=31

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24 divided by 3 is 8

Y=8

5 0
3 years ago
What does 10 1/4- 4 3/8 equal
Troyanec [42]

Answer:

5.875

Step-by-step explanation:

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