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BabaBlast [244]
2 years ago
9

Hey guys can I get a little help on this problem please, thank you.​

Mathematics
1 answer:
DedPeter [7]2 years ago
5 0
Point g because it’s in the middle.

midpoint= the middle.
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Triangle DEF is similar to triangle GHK. What is the value of DF if GK is 3.4 inches, EF is 2.25 inches, and HK is 9 inches?
kap26 [50]
DF=3.4 because it's congruent to GK
4 0
3 years ago
A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro
Advocard [28]

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

3 0
3 years ago
What’s the answer I need help asap
mixas84 [53]

Answer:

The equation is y = x-2

5 0
2 years ago
PLEASE HELP DUE IN 40 MINS!! Using the Law of Sines, find the exact answer for x.
Savatey [412]

Answer:

Step-by-step explanation:

Sin(30) / X  = Sin(45) / 12

use algebra to isolate X

1 / X = [ Sin(45) / 12  ]   /  Sin(30)

flip both sides

X =  Sin(30) / [Sin(45) /12 ]

invert the denominator on the right side

X = Sin(30) *  12/ Sin(45)

Do you know what Sin(30) is off the top of your head?

and also Sin(45) ?

these are worth remembering... and you can b/c they are just

sin(0) = 0/2

sin(30) = 1 / 2

sin(45) = \sqrt{2}/2

sin(60)= \sqrt{3} / 2

sin(90) = \sqrt{4} / 2    (aka 1)

note the numerators just counts up  0, 1, 2, 3, 4  :)  

Cos works the same way but counts from 90° back to 0 but exactly like sin other wise, hence why Cos and Sin both = \sqrt{2}/2 at 45 °

anyway

X =  1 / 2 * 12/ \sqrt{2}/2

X = 3\sqrt{2}

A=3

B= 2

:)  nice , huh

8 0
2 years ago
A right prism with rhombus bases is shown. the side length of each rhombus is 5 units. the height of the prism is 16 units. the
Molodets [167]
To determine the volume of the rhombus, we use the equation,
                           V = Bh
where B is the area of the base and h is the height. 
For rhombus, the area is calculated through the equation,
                         B = D₁D₂/2
Substituting,
                          B = (6)(8) / 2 = 24 units squared

Volume calculation:
                             V = (24)(16) = 384 units cubed
6 0
2 years ago
Read 2 more answers
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