Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 per job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.

30 + 15 x greater-than-or-equal-to 90

Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.

Answer:

The length of the entire race is 9,5km

Step-by-step explanation:

Required

Determine the length of the race.

To aid my explanation, I have added an attachment which shows the triangular course.

From the attachment, we have:

A as the starting point and the following measurement;

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]

[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]

[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]

[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]

[tex]\angle A = 77^{\circ}[/tex]

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 92^{\circ[/tex]

[tex]c = 4.4km[/tex]

Apply sine rule

[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Split to solve for a and b

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Make a the subject

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]a = 4.403 * sin(77^{\circ})[/tex]

[tex]a = 4.403 * 0.9744[/tex]

[tex]a = 4.3km[/tex]

Make b the subject

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

[tex]b = 4.403 * sin(11^{\circ})[/tex]

[tex]b = 4.403 * 0.1908[/tex]

[tex]b = 0.8km[/tex]

The length of the race is:

[tex]Length = a + b + c[/tex]

[tex]Length = 4.3km + 0.8km + 4.4km[/tex]

[tex]Length = 9.5km[/tex]

Step-by-step explanation:

cosine of B = adjacent/hypot

to find hypotenuse use a^2+b^2 = c^2

which is 5 (it's a 3,4,5 triangle so it's easy)

Cosine B= 4/5

Answer:yes

Step-by-step explanation:they are equal

Answer:

2009cm^2

Step-by-step explanation:

Given data

let the length be L

and the width be w

so

w= x

L=x+8

P= 180cm

P= 2L+2W

180= 2(x+8)+2(x)

180= 2x+16+2x

collect like terms

180= 4x+16

180-16= 4x

164= 4x

x= 164/4

x=41

W= 41cm

L= 41+8

L= 49cm

A= L*W

A=49*41

A=2009cm^2

Hence the area is 2009cm^2

Answer:

38.25

Step-by-step explanation:

A = 1/2(8.5)(9)

Answer:

[tex]38.25 mm^{2}[/tex]

Step-by-step explanation:

Area of a triangle = 1/2bh

b = 8.5

h = 9

1/2(8.5)(9) = 38.25

Answer:

14 miles

Step-by-step explanation:

3 + 4 + 3 + 4 = 14

Answer:

No the statement isnt reasonable

Step-by-step explanation:

Answer:

34%

Step-by-step explanation:

35 - 23 = 12, so the guess is off by 12/35.

To find the percentage, divide 12 by 35, which is approximately 34%.

Answer:

Step-by-step explanation:

80x/100 = 40

80x = 4000

x= 50 problems

Answer:

50 problems

Step-by-step explanation:

40÷2 =20 = 40% 20÷2 =10 = 20%

if 10 =20% then 10 × 5 = 50 or 80%

(overthinking)

Answer:

7) x = 5

8) x = 10

Step-by-step explanation:

7) 2x-3=x+2

x=5

8) 4x=2x+20

2x=20

x=10

Answer:

B)

Step-by-step explanation:

Hope that helps!

The equation in option (b), 2/5 + 1/4 = 13/20, uses the commutative property of addition to rewriting 1/4 +2/5.

The sum of two or more integers remains the same regardless of how they are grouped, according to the commutative property of addition.

The given expression is 1/4 + 2/5.

Simplify the expression as follows:
1/4 + 2/5

= (5 + 8)/20

= 13/20

Hence, it follows 1/4 + 2/5 = 13/20.

Now, using the commutative property of addition, the equation can be written as:

2/5 + 1/4 = 13/20

Hence, the equation in option (b), 2/5 + 1/4 = 13/20, uses the commutative property of addition to rewriting 1/4 +2/5.

Learn more about the commutative property of addition:

https://brainly.com/question/778086

#SPJ5

Answer:

HI

Step-by-step explanation:

U got this (:

Answer:

1/4

Step-by-step explanation:

rise=y        it takes him 4 minutes to run 1 km   so rise over run would be  1//4

run=x

and him running 1 minute is half a meter

or do you need slope fomula

this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest

Answer:  

Inductive

Step-by-step explanation:

Because our conclusion is based on facts, the conclusions reached by deductive reasoning are correct and valid.

Answer:

-150x

Step-by-step explanation:

Answer:

6.16 is the answer

Step-by-step explanation:

3 + (.4^2 + 3)

3 + 3.16

6.16

1. n = 37

isolate n by dividing both sides by 5

2. y = 83

isolate y by dividing both sides by 3

3. w = -118

isolate w by dividing both sides by -6

Answer:

Move the dot at the axis one to the left and one down move the other dot to (7,0)

Step-by-step explanation:

Find the dot at the origin (0,0)

Move it to (-1,-1) which is one unit to the left and one unit down.

Select other dot and place it at (7,0)

Click submit

Answer:

B. z+7.5 is the answer I chose

Step-by-step explanation:

(x+4)-x=-4+3

X+4-x = -1

x-x = - 1-4

-x = - 5

Answer:

The answer for this question is 2,437.5 or rounded 2,438.

Step-by-step explanation:

5 goes into 19.5, 3.9 times to get that take 19.5÷5 to get 3.9. Then take 625×3.9 to get the total of 2,437.5 miles for your answer.

Answer:

Step-by-step explanation:

jhghgjhjgjjhgghghghgbhbjhbhvgjhgygyguygygyugglygygluyglygyggylgyugyygygygygygugyggyghjghgkygkhghgjkghhgghgghgggghghhghghghghghhgghghghghghghghgghghghghjhgjggjghghjgggghhhghggjkgkjghjjghkghjkggkghjggkhghgkhghkjghjghghjkgjhkgjhhjghgkhghgkjghjgjkhhjhhghgkjgghjj.

9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -2)/(-1 -4) = -10/-5 = 2

__

  y -y1 = m(x -x1) . .  point-slope form of equation for a line

  y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)

  y = 2x +5 . . . . . . . rearrange to slope-intercept form

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

Answer:

If these are answer choices, i believe the correct answer is B, time.

Step-by-step explanation:

Answer:

It's Time

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

72+51=123

123 - 72 = 51

Answer:

72+51=123

123 - 72 = 51

Step-by-step explanation:

Answer:

diego. 80+(5x3)= 95

it isn't priya because 30+(5x3)=45