1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
den301095 [7]
3 years ago
11

Sierra is getting her car fixed at a mechanics. The total cost after tax is represented by 0.065(30h) + 30h, where h represents

the number of hours it takes to repair the car. What part of the expression represents the amount of money she will have to pay in tax? Explain.
Mathematics
1 answer:
grandymaker [24]3 years ago
4 0

Given :

Sierra is getting her car fixed at a mechanics. The total cost after tax is represented by 0.065(30h) + 30h, where h represents the number of hours it takes to repair the car.

To Find :

What part of the expression represents the amount of money she will have to pay in tax.

Solution :

Total cost , T = 30h( 1 + 0.065)

T = 30h + 30h(0.065)

T = (30h) + (30h )× 6.5 %

Here, 30h is the cost of repairing the car.

Other part shows the tax she have to pay which is 6.5% of the total amount.

Hence, this is the required solution.

You might be interested in
650^4×650^5= 650 to the what power​
GalinKa [24]

Answer:

650^9

power gets added when base is same

6 0
3 years ago
Read 2 more answers
Can someone please help me answer these 2 questions with a full explanation so I can do the rest on my own? will give brainliest
Anton [14]

Answer:

a)  ∠ABC = 54°

a)  ∠ABC = 43°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

<u>Part (a)</u>

Use the cos trig ratio to find an expression for the measure of BD:

\implies \sf \cos (38^{\circ})=\dfrac{BD}{24.3}

\implies \sf BD=24.3\cos (38^{\circ})

Use the cos trig ratio and the found length of BD to find angle ABD:

\sf \implies \cos(ABD)=\dfrac{BD}{19.9}

\sf \implies \angle ABD=\cos^{-1}\left(\dfrac{24.3\cos (38^{\circ})}{19.9}\right)

\sf \implies \angle ABD=15.79446612...^{\circ}

Therefore:

\sf \implies \angle ABC=\angle ADB + 38^{\circ}

\sf \implies \angle ABC=15.79446612...^{\circ}+ 38^{\circ}

\sf \implies \angle ABC=54^{\circ}\:\:(nearest\:degree)

<u>Part (b)</u>

Use the tan trig ratio to find angle CAD:

\implies \sf \tan(CAD)=\dfrac{4.9}{7.4}

\implies \sf \angle CAD=\tan^{-1} \left(\dfrac{4.9}{7.4}\right)

\implies \sf \angle CAD=33.5110188...^{\circ}

Therefore:

\sf \implies \angle BAD=13^{\circ}+33.5110188...^{\circ}

\sf \implies \angle BAD=46.5110188...^{\circ}

∠ABC = ∠ABD

Interior angles of a triangle sum to 180°

\sf \implies \angle ABD + \angle BAD + \angle BDA=180^{\circ}

\sf \implies \angle ABC + 46.5110188...^{\circ} + 90^{\circ}=180^{\circ}

\sf \implies \angle ABC=43^{\circ}\:\:(nearest\:degree)

4 0
3 years ago
Tina ordered a replacement part for her desk. It was shipped in a box that measures 4inches By 4inches by 14 inches. What is the
Sergeeva-Olga [200]

Answer:

  15 inches

Step-by-step explanation:

The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...

  l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches

The greatest length the part could have been is 15 inches.

7 0
3 years ago
Hi I really need help with this question. Relationship B has a lesser rate than Relationship A. This graph represents Relationsh
ANTONII [103]
The rate would be the gradient which is dy/dx 
so the answers are
 4x and 5x
5 0
3 years ago
Read 2 more answers
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius?
DedPeter [7]

Answer:

1885 flowers

Step-by-step explanation:

Given that:

Radius, r of circle = 100 feets

The Circumference of the circke is thus ; 2πr

C = 2 * π * 100

C = 628.31853 feets

Converting feets to inches

1 foot = 12 inches

628.31853 feets = 628.31853 * 12 = 7539.8223 inches

If flowers are spaced at 4 inches :

Number of flowers that can be planted :

Circumference of circle / spacing

7539.8223 / 4

= 1884.9555 flowers

= 1885 flowers

7 0
3 years ago
Other questions:
  • Grammage is the mass per unit area of paper. Suppose an office printer paper has a grammage of 80 grams per square meter.
    12·1 answer
  • What is the equation of the line? (Answer choices &amp; graph attached.)
    11·1 answer
  • 1 5/8 • 4 2/3 equals what as a fraction
    10·1 answer
  • Express the fraction in standard form -4/2=
    7·1 answer
  • Question 2
    10·1 answer
  • I just need question 2, please help
    7·2 answers
  • 4x + 5y = 102<br> 7y + 5y = 126
    5·1 answer
  • For the equations given below, which statement is true? A. The equations do not have the same solution because the second equati
    15·1 answer
  • Solve the following system by ELIMINATION.<br><br> 6x + 10y= 16<br> 2x + 20y= -28
    10·2 answers
  • Write an equation of the line that passes through(-1,<br> 3) and is parallel to the line y = 2x + 2.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!