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Tamiku [17]
3 years ago
11

There are 16 boys and 18 girls in a grade 6 math class . write the ratio of girls to boys in words as simply as possible

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

8:9 = eight to nine

Step-by-step explanation:

16:18 - divide each by 2 in order to simplify

= 8:9

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1)
MrRissso [65]

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

7 0
4 years ago
In Algebra, we learn about functions of various types. These functions are often seen in a progression from least complicated (l
Colt1911 [192]

All the equations can be graphed and solved by graphing. They can also be solved using various other methods

8 0
3 years ago
Apple tarts sell for 3 for$5.00. How much will 8 tarts cost?
MAXImum [283]

Answer:

<h2>$13.30</h2>

Step-by-step explanation:

Step one:

given

We are told that 3 apples seels for $5

let us first find the selling price of 1 apple

an apple = 5/3

=$1.6

Required

Step two:

The selling price of 8 apples

if 1 apple sells for $1.6

then 8 apples will sell for

=8*1.6

=$13.30

8 0
3 years ago
The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The
trapecia [35]

Answer:

a) = 0.9739

b) = 0.969

c) option A is correct

Step-by-step explanation:

Given that:

sample size n = 30

SST = 1803

SSR = 1756

R^2 = \dfrac{SSR}{SST} \\ \\ R ^2 = \dfrac{1756}{1803} \\ \\  \mathbf{R^2 =0.9739}

The adjusted R_a^2 is computed as:

R_a^2 = 1 - (\dfrac{n-1}{n-p})(1-R^2)

where;

p = k+1 \\ p= 4+1 = 5

R_a^2 = 1 - (\dfrac{30-1}{30-5})(1-0.9739)

R_a^2 = 1 - (\dfrac{29}{25})(0.0261)

R_a^2 = 1 - (1.16)(0.0261)

R_a^2 = 1 -0.030276

\mathbf{R_a^2 \simeq 0.969}

7 0
3 years ago
The table below shows the different times it takes Paula to drive to work each day depending on the rate at which she drives.
Cerrena [4.2K]
From the values in the table, we can multiply the speed by the time to find out the amount of miles she travels a day. This is shown below:

30 mph * 2.5 hours = 75 miles
40 mph * 1.875 hours = 75 miles
50 mph * 1.5 hours = 75 miles
60 mph * 1.25 hours = 75 miles 

Therefore, she travels 75 miles to work. Given a speed of 24 mph, we divide 75 miles by 24 to find out how long it takes her to travel that far:

75 miles / 24 mph = 3.125 hours
7 0
4 years ago
Read 2 more answers
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