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Kryger [21]
3 years ago
14

A ships triangular signal flag has a base of 8 inches and an area of 64 square inches. What is the height of the signal flag

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0
A = (1/2)bh
64 = (1/2)(8)h
16 = h
The height is 16 inches
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6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
vova2212 [387]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

4 0
3 years ago
For the rational expression 2x^2-7x-15/x^2-25, do both of the following,
Mrrafil [7]

Answer:

a. \frac{2x + 3}{x+5}

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

2x^2 - 7x - 15              

Two numbers that multiply to -30 and add to -7 = -3 and 10

[2x^2 - 10x] + [3x - 15]

(2x + 3)(x - 5)

Factor the denominator (Difference of Two Squares):

x^2 - 25 = (x +5)(x-5)

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}

Variable Restrictions:

Denominator ≠ 0

x + 5 = 0\\x = -5

Vertical asymptote at x = -5 ⇒ x ≠ -5

3 0
3 years ago
Decompose the number 419 in 10 models
Papessa [141]
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I think this is what you're asking.. If not.. I'm sorry.

5 0
3 years ago
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Eddi Din [679]
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This means           

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The domain of this function is all real numbers - {4}

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3 0
3 years ago
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When is buying a house better than renting?
Anastasy [175]
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