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kirill [66]
3 years ago
5

Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0

Answer:

≈23.66

Step-by-step explanation:

Height ---> x

base ---> 5x

<em>Formula for area of triangle: (base*height)/2</em>

((5x)(x))/2 = 1400

5x^{2}/2 = 1400

5x^{2} = 1400 · 2 = 2800

x^2 = 2800/5 = 560

x= √560 ≈ 23.66

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Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
bearhunter [10]

Answer:

Maggie is 5 years old

Step-by-step explanation:

3M-4+M=16

add 4 to both sides

4M=20

Divide both sides by 4

20/4 = 5

M/Maggie is 5

7 0
3 years ago
Paper plates cost $8 per package and plastic utensils cost $5 per package. Your supplier delivers 15 packages for a total cost o
Fittoniya [83]
To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.

To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5

Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.

So, you have delivered 5 paper plate packages and 10 utensil packages.
8 0
3 years ago
Shahida is 21 years old and Nasreen is 15 years old to Shahida after how many years will Shahida be twice as old as nasreen​
guapka [62]

Answer:

27 years

Step-by-step explanation:

21 × 2 = 42

42 - 15 = 27

5 0
3 years ago
Find the missing dimension of the prism
Andrews [41]

<em>X = 2 cm</em>

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X = 80/20 = 4

6 0
3 years ago
F(x)=-x^2 -4x -2, for this equation find the solutions, the coordinates of the vertex, and the axis of the symmetry.
Zina [86]

Answer:

Step-by-step explanation:

hello :

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the vertex is : (2 , -6)

now calculate the solutions : (x-2)²-6 =0

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x = 2+√6   or x =  2-√6

4 0
3 years ago
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