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4 years ago

Please help me out please

Mathematics

2 answers:

My name is Ann [436]4 years ago

8 0

Answer:

110.9 sq ft

Step-by-step explanation:

split the equilateral triangle into two right triangles. use pythagorean theorem to discover that the height is about 13.86 ft. use the area formula, A= (1/2)bh

A=(1/2)(8)(13.86)= 110.9

dexar [7]4 years ago

8 0

Answer:

A = 64√2 ft² = approx. 90.5 ft²

Step-by-step explanation:

Because this is an equilateral triangle, the interior angles are also equal and are 60° each. We'll use the area-of-a-triangle formula, A = (1/2)(b)(h), to find the area of this particular triangle. We see from the diagram that the base is 16 ft.

Drawing an imaginary line representing the height of this triangle, and letting h represent this height, we get

sin 60° = opp / hyp = h / (16 ft) = 1/√2, so that

h 1

----- = -----

16 √2 16

and so √2*h = 16, and h = -------

√2

1 16 16

Then the area of this blue triangle is A = (1/2)(b)(h) = ---- * ----- * -------

2 1 √2

128 128√2

or A = ------- = ------------ = 64√2 ft² = approx. 90.5 ft²

√2 2

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A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s

Shalnov [3]

Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3
4.5 = x
x = 4.5
This is the length above the left hand.

2x must be then 4.5*2 = 9 foot
This is the length below the left hand.

Checking
4.5 + 9 + 1.5 = 15 foot

Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.

6 0

4 years ago

16. If f(x) = 2x - 1 and g(x) = x2 - 2, find [g • fj(x).

Rudiy27

Answer:

x^2 - 2x - 1.

Step-by-step explanation:

(g - f)(x)

= g(x) - f(x)

= x^2 - 2 - (2x - 1) (Note we put the 2x -1 in parentheses).

= x^2 - 2 - 2x + 1

= x^2 - 2x - 1.

5 0

3 years ago

A circle's radius that has an initial radius of 0 cm is increasing at a constant rate of 5 cm per second.

djyliett [7]

Answer:

a) $r(t)=5t$

b) $A=\pi\cdot r^2$

c) $A=\pi\cdot (5t)^2$

d) $A=25\pi t^2$

Step-by-step explanation:

We know that the circle is increasing its radio from an initial state of r=0 cm, at a rate of 5 cm/s.

This can be expressed as:

$r(0)=0\\\\dr/dt=5\\\\r(t)=r(0)+dr/dt\cdot t=0+5t\\\\r(t)=5t$

a) Radius of the circle, r (in cm), in terms of the number of seconds, t since the circle started growing:

$r(t)=5t$

b) Area of the circle, A (in square cm), in terms of the circle's radius, r (in cm):

$A=\pi\cdot r^2$

c) Circle's area, A (in square cm), in terms of the number of seconds, t, since the circle started growing:

$A=\pi\cdot r^2\\\\A=\pi\cdot (5t)^2$

d) Expanded form for the area A:

$A=\pi\cdot (5t)^2=25\pi\cdot t^2$

3 0

3 years ago

In the right triangle ABC with right angle at A , the inradius is 2cm. If the hypothenuse BC=10cm , determine the perimeter and

trasher [3.6K]

Answer: 24cm

Step-by-step explanation:

Inradius = r

c = the hypothenuse

a & b = the other 2 sides of the triangle

Inradius formula: r = 1/2 * (a+b-c)

Plug in what we know.

2 = 1/2 * (a+b-10)

Multiply both sides by 2.

2*2 = 1/2 * (a+b-10) * 2

4 = a+b-10

Add 10 to both sides.

4+10 = a+b-10+10

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Perimeter formula: P=a+b+c

Plug in what we know

(remember a+b=14).

P=14 + 10

P = 24

3 0

3 years ago

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Monica [59]

Answer:

She will need to use 377 inches of glitter tape.

Step-by-step explanation:

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3 years ago