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shtirl [24]
2 years ago
15

Help me plz will mark brainliest

Mathematics
1 answer:
Ksju [112]2 years ago
7 0

Step-by-step explanation:

Given,

the bigger triangle (∆GFH), <HGF = 90° and <GFH = 60° and GF = 4

In the 30-60-90 triangle, FH = 4×2 = 8

or you can find it like this,

cos60 = 4/FH

FH = 4/cos60 = 8

Now, I is the midpoint of FH, so, FI = 8/2 = 4

now for ∆FGI,

<GFI = 60°, GF = 4, FI = 4, it's a equilateral triangle, so we can say GI = 4

Now we need to find the height of ∆FGI, for that,

area of ∆FGI = (√3/4)×4² = 4√3 = 6.92820323..

So height (GJ) = 2×area/side = 2×4√3/4 = 2√3 = 3.46410162.. [height of ∆GFI (Because altitude is perpendicular distance from a point) = GJ, given]

now, in ∆GJI, GJ = 2√3, GI = 4 and <GJI = 90° (since itsy altitude, the angle will be a right angle, i.e. 90°)

So, JI = √{4²-(2√3)²} = 2

Area = 2×2√3/2 = 2√3 = 3.46410162.. = 3.46 (rounded to the nearest hundredth)

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3 years ago
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Two slits are illuminated by a 348 nm light. The angle between the zeroth-order bright band at the center of the screen and the
Andre45 [30]

Answer:0.369 m

Step-by-step explanation:

Given

Distance between slit and screen is D=154 cm

Wavelength \lambda =348 nm

Angle between zeroth order bright fringe and Fourth-order bright fringe is \theta =13.5^{\circ}

let distance between the slits be d

Distance of n th bright fringe From central Fringe is given by

y_n=\frac{nD\lambda }{d}

Also \tan \theta =\frac{y_4}{D}

y_4=\tan (13.5)\cdot 1.54

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5 0
3 years ago
If Trent has 11 quarters and dimes in his pocket, and they have a combined value of 200 cents, how many of each coin does he hav
allsm [11]

Answer:

Trent has 6 quarters and 5 dimes.

Step-by-step explanation:

Consider the provided information.

Let q =  Number of quarters

d = Number of dimes.

Trent has 11 quarters and dimes.

q+d=11

q=11-d

The worth of a quarter is 25 cents.

The worth of a dimes is 10 cents

25q+10d=200

Substitute the value of q in above equation.

25(11-d)+10d=200

275-25d+10d=200

15d=75  

d=5  

Substitute the value of d in q=11-d

q=11-5

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Hence, Trent has 6 quarters and 5 dimes.

4 0
3 years ago
???? Help plz ?…. It’s a grade
Aleks [24]

Answer:

Yes it does show a dilation

4 0
2 years ago
Can u guys help me on this?
Nadusha1986 [10]

Answer:

r = 6 m

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

Substitute in what we know

37.68 = 2 * 3.14 * r

37.68 = 6.28 r

Divide each side by 6.28

37.68/6.28 = 6.28 r/6.28

6 = r

7 0
3 years ago
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