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4 years ago

1)

Mathematics

1 answer:

MrRissso [65]4 years ago

7 0

Answer:

Step-by-step explanation:

The diagram of the triangles are shown in the attached photo.

1) Looking at ∆AOL, to determine AL, we would apply the sine rule

a/SinA = b/SinB = c/SinC

21/Sin25 = AL/Sin 105

21Sin105 = ALSin25

21 × 0.9659 = 0.4226AL

AL = 20.2839/0.4226

AL = 50

Looking at ∆KAL,

AL/Sin55 = KL/Sin100

50/0.8192 = KL/0.9848

50 × 0.9848 = KL × 0.8192

KL = 49.24/0.8192

KL = 60

AK/Sin25 = AL/Sin 55

AKSin55 = ALSin25

AK × 0.8192 = 0.4226 × 50

AK = 21.13/0.8192

AK = 25.8

2) looking at ∆AOC,

Sin 18 = AD/AC = 18/AC

AC = 18/Sin18 = 18/0.3090

AC = 58.25

Sin 85 = AD/AB = 18/AB

AB = 18/Sin85 = 18/0.9962

AB = 18.1

To determine BC, we would apply Sine rule.

BC/Sin77 = 58.25/Sin85

BCSin85 = 58.25Sin77

BC = 58.25Sin77/Sin85

BC = 58.25 × 0.9744/0.9962

BC = 56.98

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The distance between two towns is 7km on a map, the distance between the towns is 28cm. Find as a ratio, the scale of the map?

kirill115 [55]

Answer:

1:4

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

28/4 = 4

1:4

4 0

3 years ago

Maximize x and y. P=3x +2y

Natalka [10]

P = 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)

Point A is found in x = 8 ; y = 0 or (8,0)

Point B is found in x = 6 ; y = 5 or (6,5)

Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.

Point A = 3(8) + 2(0) = 24 + 0 = 24

Point B = 3(6) + 2(5) = 18 + 10 = 28

Point C = 3(0) + 2(8) = 0 + 16 = 16

The maximum value of the function P = 3x+2y is 28 and its minimum value is 16.

6 0

1 year ago

Can any kind soul help me ASAP!

CaHeK987 [17]

Answer:

Hope it helps u

Step-by-step explanation:

As we know that ,

Mean = sum of the terms/ numbers of terms

But here grouped data is given so , we use the formula

Mean=∑[f. m]/ ∑f

where f is frequency and m is mid point of each height ,

Now first we have to find the mid point of each interval, where

midpoint of each interval = (lower boundary + upper boundary)/2

m1=(150+154)/2 = 152

m2=(155+159)/2= 157,now found other by same formula, for each interval

m3= 162

m4= 167

m5=172 Now we find the midpoint of each interval ,so now

∑[f. m]=f1*m1+f2*m2+f3*m3+f4*m4+f5*m5

now putting the values of each frequency for given interval and midpoint of each interval we will get,

∑[f. m]=456+942+1296+167*x+344 = 167*x+3038

Now find,

∑f=f1+f2+f3+f4+f5

∑f=19+x

Now we have,

∑[f. m]=167*x+3038

∑f=19+x

also given mean height=161.6 cm

putt these values in above equation we get,

161.6= $\frac{167*x+3038}{19+x}$

now solve this ,

161.6(19+x)=167*x+3038

3070.4+161.6*x=167*x+3038

3070.4-3038=167*x-161.6*x

32.4=5.4*x

x=32.4/5.4

3 0

3 years ago

Digital plus manufactures cameras. Last year, the company was able to produce 25,000 cameras each month. After introducing a new

Brilliant_brown [7]

Answer:

25,000+32,000

Step-by-step explanation:

5 0

3 years ago

Need help ASAP!! Tyyy

morpeh [17]

Answer:

its 6

Step-by-step explanation:

4 0

3 years ago