A truck can be rented from Company A for ​$110 a day plus ​$0.20 per mile. Company B charges ​$80 a day plus ​$0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

The measurement  of ∠ ABC in  [tex]\triangle ABC[/tex], When AB =√2,  AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].

The measures of angle ∠ ABC can be calculated as:

The Law of Cosines, states that:

[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]

Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.

The sides of ∆ ABC will be :

AB = [tex]\sqrt{2}[/tex] (given)

BC = 2 (given)

[tex]AC = 1 + \sqrt{MC}[/tex]

∆ ABC is a triangle and according to the triangle inequality theorem,  the  The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So:

BC+AB > AC

[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]

[tex]\sqrt 2 +1 > \overline{MC}[/tex]

The law of cosines for [tex]\angle ABC[/tex] can be calculated as:

[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]

The values can be obtained by the substitution.

[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]

[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

This can be simplified as:

[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

The value of [tex]\overline{MC}[/tex] can be calculated as:

[tex]\sqrt 2+1 > \overline{MC}[/tex]

Substitute the value in the equation,

[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]

[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]

[tex]0 = 10 - 2.cos (\angle ABC)[/tex]

Thus, the value of cos [tex](\angle ABC)[/tex]  is calculated as:

[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]

[tex]cos(\angle ABC) = 5[/tex]

Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].

Learn more about angles here:

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Answer:

its b

Step-by-step explanation:

Answer:

The answer would be $67.2.

Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2

Answer:

C)12

Step-by-step explanation:

[tex] {y}^{2} = {37}^{2} - {35}^{2} [/tex]

[tex] {y}^{2} = 1369 - 1225[/tex]

[tex] {y}^{2} = 144[/tex]

[tex]y = 12[/tex]

the answer is a the same line

Answer:

A - The same line

Step-by-step explanation:

First, let's simplify 6x - 15y = 15:

Add 15y to both sides to get 15 + 15y = 6x, and then subtract 15 on both sides to get 15y = 6x - 15. We can then divide by 15 on both sides to get y = 6x/15 - 1, which can be simplified to (since 6/15 = 2/5):

y = 2x/5 - 1

y = 2x/5 - 1 is the same as the second bullet point, and since the equations of the lines are the same, this means that the lines are the same. Therefore, the answer is A - The same line.

Answer:

16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.

Step-by-step explanation:

Answer:

1 dime, 1 nickel, 1 penny

Step-by-step explanation:

1 dime= 10 cents

1 nickel= 5 cents

1 penny= 1 cent

Answer:

R3. alternate interior angles

( alternate interior angles are always congruent )

S4. AC = CA

R5. ASA triangle congruence property

( you have 2 angles and the included side, so you know they're congruent )

lmk if you want an actual explanation

Step-by-step explanation:

1 Use the Quadratic Formula.

x=\frac{2+2\sqrt{14}\imath }{30},\frac{2-2\sqrt{14}\imath }{30}

x=

30

2+2

14



,

30

2−2

14



2 Simplify solutions.

x=\frac{1+\sqrt{14}\imath }{15},\frac{1-\sqrt{14}\imath }{15}

x=

15

1+

14



,

15

1−

14



Done

Answer:

No

Step-by-step explanation:

A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x

Answer:

the loop is going by 4

Step-by-step explanation:

[tex] \: \: \: \: [/tex]

[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

Step-by-step explanation:

[tex]6.2 + 0.4x = 8.05[/tex]

[tex]0.4x = 8.05 - 6.2[/tex]

[tex]0.4x = 1.85[/tex]

[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

[tex] \huge\bf Question:—[/tex]

[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]

[tex] \bf \huge \: Solution:—[/tex]

[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]

[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]

[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]

[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]

[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]

[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]

[tex]\sf \longmapsto0.4x=1.85[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]

[tex] \boxed{\bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]

[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]

[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]

[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]

[tex]\sf \longmapsto0.0256x=0.1184[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]

[tex]\sf \longmapsto \: x = 4.625[/tex]

[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]

[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]

[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]

[tex]\boxed{\bf \dfrac{37}{8}} [/tex]

[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]

[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]

Answer: Adelita

Step-by-step explanation:

because if its going in order of the names by jobs then its adelita

Answer:

90 kg m/s

Step-by-step explanation:

The equation for momentum is

p= mass x velocity

so our velocity is 3 thats is given

the mass must be calculated by adding 25  and 5

this adds to 30

30 x 3 = 90

Answer:

x=2

Step-by-step explanation:

hope this helps! :D

to everyone reading this: have a miraculous day!! <3

Answer:

x=2

Step-by-step explanation:

..............

✌️❤️✌️

Answer:

the answer in 12 x 8÷2 =48

Answer:

length = 18 ft

Step-by-step explanation:

A(rect) = 9l

A(trap) = 1/2(9)(24+12)  →  4.5(36)  → 162

9l = 162

l = 162/9

l = 18

=====================================================

How to get the answer:

We first need to compute the area of the trapezoid

area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 9*(12+24)/2

A = 9*(36/2)

A = 9*18

A = 162

The trapezoid has an area of 162 square feet.

---------

The rectangle also has an area of 162 sq ft.

area of rectangle = length*width

A = L*W

A/W = L

L = A/W

L = 162/9

L = 18

The length of the rectangle is 18 feet.

---------

Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.

Answer:

3/16

Step-by-step explanation:

So Derrick is sharing pizza with 3 friend, so in total, there are 4 people.

There is 6/8 pizza in current total pizza.

[tex]\frac{\frac{6}{8}}{4} =6/32=3/16[/tex]

Answer:

2/8

Step-by-step explanation:

each person would get 2/8

Answer:

282.6 cm^2

Step-by-step explanation:

typed it into a surface area calculator and I got the answer right

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation: just get good at math

Answers:

-32

-8

-2

4

Step-by-step explanation:

[tex]y = 6x - 2[/tex]

[tex]y_1 = 6(-5) - 2 = -30 -2 = -32[/tex]

[tex]y_2 = 6(-1) - 2 = -6 -2 =-8[/tex]

[tex]y_3 = 6(0) - 2 = 0 -2 = -2[/tex]

[tex]y_4 = 6(1) - 2 = 6 -2 = 4[/tex]

Step-by-step explanation:

Ok so the function rule is: y=6x-2

We have 4 sets of numbers under the value "x." That means we have to input the given values into the function.

First is x=-5. We input -5 into the function so we get y=6(-5)-2. We multiply 6 and -5 and we get -30, then we subtract 2 from -30. Then for the answer for the first column, we get -32 for the y value.

Now we have x=-1. We input the number for x in the function and we get y=6(-1)-2. We multiply 6 and -1 and we get -6, then we subtract -2 from -6 and we get -8. So out y value for the second row is -8.

Try the next two on your own to see if you understand. If you still don't understand please comment under this answer. I'll try to respond as quickly as I can.

Answer:

x-3=-x+3

2x=6

x=3 y=0

the solution is the intersection of those two lines!

Answer:

r = 1/11

Step-by-step explanation:

16r-2r = -3r+6r+1

14r = 3r+1 (combine like terms)

11r = 1

r = 1/11

Answer:[tex]6\pi[/tex]

Step-by-step explanation:

240/360 can be simplified to 2/3. r^2 can be substituted for 9, and 2/3*9 is 6.

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

Answer:

-39 2/3

Step-by-step explanation:

t - 122= 2t - 3

subtract 't' from each side to get:

-122 = 3t - 3

add 3 to each side to get:

-119 = 3t

divide each side by 3 to get:

t = -39 2/3

Answer: Please upload the image or PDF.