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Vesna [10]
3 years ago
7

Given that ABC ~ EFG, if FG = 7.6 what is the length of ?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Answer:

5.7

Step-by-step explanation:

The following ratios are equal

\frac{DC}{HG} = \frac{BC}{FG}, substitute values

\frac{3}{4} = \frac{BC}{7.6} ( cross- multiply )

4BC = 3 × 7.6 = 22.8 ( divide both sides by 4 )

BC = 5.7

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How to ESTIMATE the QUOTIENT 74.3 ÷ 8
GaryK [48]
You divide and simplify and get9.2875
7 0
3 years ago
Solve the system of equations - X - Y = 3 and 6x + 2y = -30 by<br> combining the equations
Elanso [62]

Answer:

X= -6, Y= 3

Step-by-step explanation:

1)

- X - Y = 3

- X - 3= Y

Y= - X - 3

2)

6X + 2Y = -30

3X + Y = -15

Y = -15 - 3X

3) Combine

- X- 3 = - 15 - 3X

- X = -15 - 3X +3

-X + 3X = - 12

2X = - 12

X= - 6

4)

- X-Y=3

-(-6) - Y = 3

-Y= 3-6

-Y= - 3

Y = 3

Answer: X= -6, Y= 3

{

6x + 2y = -30, 6(-6)+2(3)= -30

}

7 0
3 years ago
Hi does anyone know who to answer q26, if do please show working out.<br> Thanks
cestrela7 [59]

Answer:

239

Step-by-step explanation:

The area the goat can graze is a circular segment (a circle cut by a chord), where the radius is 10 m and the distance from the center to the chord is 6 m.  Here's a graph: desmos.com/calculator/qmstllv4dx

To find the area, we can split this into two shapes: a sector and an isosceles triangle. desmos.com/calculator/hvsor3mqps

To find the areas, we first must find the vertex angle of the triangle.  We can do that using cosine:

cos(θ/2) = 6/10

θ/2 = 53.13°

θ = 106.26°

The area of the triangle can be found with the SAS formula:

A = ½ ab sin C

A = ½ (6) (6) (sin 106.26°)

A = 17.28

The area of the sector is:

A = πr² (θ / 360°)

A = π (10)² ((360° − 106.26°) / 360°)

A = 221.43

The total area is 17.28 + 221.43 = 238.71.  Rounded to the nearest square meter, the goat can graze an area of 239 m².

3 0
4 years ago
14. Mrs. Drew wants to build a square sandbox
Sidana [21]

Answer:

44 ft

Step-by-step explanation:

step 1

Find the length side of the square box

The area of the box is equal to

A=b^{2}

where

b is the length side of the square box

we have

A=121\ ft^2

substitute

121=b^{2}

solve for b

square root both sides

b=11\ ft

step 2

Find the perimeter of the square box

The perimeter of the square box is

P=4b

we have

b=11\ ft

substitute

P=4(11)=44\ ft

6 0
3 years ago
Write 3 1/8% as fraction in simplest form
PolarNik [594]

so change a value to a percentage format, we simply divide it by 100.

for example, 2% can be rewritten as 2/100 or 0.02 in decimal format.


now, let's first convert the mixed fraction to improper, and then do the percentage format and simplification.


\bf \stackrel{mixed}{3\frac{1}{8}}\implies \cfrac{3\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{25}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~\frac{25}{8}~~}{100}\implies \cfrac{~~\frac{25}{8}~~}{\frac{100}{1}}\implies \cfrac{25}{8}\cdot \cfrac{1}{100}\implies \cfrac{1}{8}\cdot \cfrac{25}{100}\implies \cfrac{1}{8}\cdot \cfrac{1}{4}\implies \cfrac{1}{32}

8 0
3 years ago
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