3 years ago

If the monthy cost for 23 HCF is $48.31 , what is the monthly cost for 18 HCF?

Mathematics

1 answer:

Stella [2.4K]3 years ago

6 0

The monthly cost for 18 HCF WILL BE $37.84

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Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

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3 years ago

A deli made $320,000 in revenue last year. Due to increased popularity of the deli, the owner predicts that revenue will increas

DedPeter [7]

Answer: $736.000

Step-by-step explanation:

if u take out the 4 0s in 320.000 u will get 32 if u take out the percent of 23% u get 23 now mutiply 32 and 23 now u get 736 now add 3 0s then you have your answer

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3 years ago

The sum of the angle measures of a quadrilateral is 360° Write and<br> 85<br> 115<br> 60

Misha Larkins [42]

The third angle would be 100 degrees
Explanation: 360-85-115-60= 100

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3 years ago

Prove that the decimal 8.72 is rational by finding its fractional form.

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Noce

Step by step solution

Dd
D
D
Dd
D
F

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3 years ago

10,000 kilometers = how many miles

GREYUIT [131]

Answer:

10,000 Kilometers =

6,213.7119 Miles

(

Step-by-step explanation:

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3 years ago

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