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zheka24 [161]
3 years ago
15

A model of a 39 foot tall building was made by using the scale 1 in : 4.5 feet. What is the height of the model? Round your answ

er to the nearest tenth
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0
1 / 4.5 = x / 39....1 inch to 4.5 ft = x inches to 39 ft
cross multiply
(4.5)(x) = (1)(39)
4.5x = 39
x = 39 / 4.5
x = 8.7 inches <==

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What is the exact value of tan (StartFraction 5 pi Over 8 EndFraction)
melisa1 [442]

9514 1404 393

Answer:

  (d)  -√((2+√2)/(2-√2))

Step-by-step explanation:

5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...

  \displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}

_____

<em>Additional comment</em>

This simplifies to -(1+√2). Your calculator can verify the choice for you.

4 0
3 years ago
Read 2 more answers
Help please<br><br> Factorise<br><br> x²-x-56<br><br> its due in 4 minutes
Iteru [2.4K]

Answer:

(x-8)(x+7)

Step-by-step explanation:

using quadratic formula we have

x=  \frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

we have:

x^2-x-56=0

a= 1 b=-1 c=-56

so we have:

x=(-(-1)+-sqrt(1^1-4*(1)*(-56)))/(2*1)

x=1+-sqrt(1-4*(-56))/(2)

x=(1+-sqrt(225))/2

x=(1+-15)/2

so we have the roots:

x1=(1+15)/2 =8

x2=(1-15)/2=-7

so the answer is (x-8)(x+7)

7 0
3 years ago
Read 2 more answers
A 10 foot ladder is leaning up against a building. If the ladder makes a 46° angle
Gnesinka [82]

Answer:

7.193 ft

Step-by-step explanation:

    |\

    |   \

    |      \

    |         \

h  |            \      10 ft

    |               \

    |                  \

    |            46°   \

    ---------------------

For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.

sin A = opp/hyp

sin 46° = h/10

h = 10 sin 46°

h = 7.193

Answer: 7.193 ft

4 0
2 years ago
The approximate distance between J and K is units. The approximate distance between K and L is units. The approximate distance b
Dima020 [189]
Count the distance d, which gives you 7.

Use Pythogarean theorem to find c:
{a}^{2}  +  {b}^{2}   =   {c}^{2}
Plug in the numbers:
{4}^{2}  +  {3}^{2}  =  {c}^{2}   \\  \\ = 16 + 9  \\  \\ = 25 \\  \\ c =  \sqrt{25}  = 5
c is 5.

Same thing with g:
{e}^{2}  +  {f}^{2}  =  {g}^{2}  \\  \\    {g}^{2} = {4}^{2}  +  {4}^{2}  \\  \\  = 16 + 16 \\  \\  = 32 \\  \\ g =  \sqrt{32} = 4 \sqrt{2}  = 5.66
g equals 5.66.

7 0
3 years ago
Determine if triangle XYZ with coordinates x (1, 1), y (5,6) and z (6,2) is a right triangle
Soloha48 [4]

Answer:

No(im not totally sure though because its slanted.)

Step-by-step explanation:

desmos.

8 0
3 years ago
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