The area of a trapezoid is 48 square centimeters. The height is 6 centimeters and one base 3 times the length of the other base. What are the lengths of the bases?

Answer:

35cm²

Step-by-step explanation:

(7 x 10) ÷ 2 = 35

Area equation: (b x h) ÷ 2 = a

Answer: Answer:    2/5. Step-by-step explanation: The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19. A total of 8. ... = 2/5. Still stuck? Get 1-on-1 help

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

What is the probability of rolling a prime number of a standard 20-sided die? (1 is not a prime number.)

a.

7/20

b.

2/5

c.

9/20

d.

1/2

Answer:

1/36

Step-by-step explanation:

6 can be put over 1.

Our equation:

[tex]\frac{1}{6} \div\frac{6}{1}[/tex]

Find the reciprocal (opposite) of 6/1, then change to sign to multiplication:

[tex]\frac{1}{6} \times\frac{1}{6} =?[/tex]

Solve:

[tex]\frac{1}{6} \times\frac{1}{6} =\frac{1}{36}[/tex]

Your answer is 1/36.

Answer:

I think its a non linear graph

Answer:

24

Step-by-step explanation:

First find the volume of box A (12x2x2)

A=48

Next since box B is half the volume of box A divide 48 by 2

B=24

:)

Step-by-step explanation:

first you have to find the lcm of 42 and 33

=462

then you're going to take the lcm and subtract the price of the vase from the lcm

=>462-40

=422

then now you're going to take the answer and divide it by the cost of each rose

=>422 ÷ $2

=211 roses at Weston Florist

then you're going to do the same for Harper's flowers

=>462-30

=432

=>432÷3

=144 roses at Harper's Flowers

Answer:

C. 25%

Step-by-step explanation:

.25x13,500=3,375

13,500-3,375=10,125

Hope this helps. :)

Answer:

13.86

Step-by-step explanation:

Note m∠ADB = m∠ABC, and m∠A = m∠A, so

ΔABD ~ ΔABC

AD : x = x : AC

AD : x = x : (AD + DC)

12 : x = x : 16

x^2 = 12 * 16 = 192

[tex]x=\sqrt{192} = 13.86[/tex]

Answer:

$18,112.45 (nearest cent)

Step-by-step explanation:

Let y = value of the boat

Let x = the number of years

If the boat depreciates in value by 15% each year, then each year that goes by, it is worth 85% of the previous year's value (since 100 - 15 = 85)

85% = 85/100 = 0.85

Therefore, the equation is:  [tex]y = 92000 \times 0.85^x[/tex]

So, when x = 10:

[tex]\implies y = 92000 \times 0.85^{10}=18112.45[/tex]

Answer:

[tex]y=Ce^{2x}+\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]y'+2y=3\\\\\frac{dy}{dx}+2y=3\\ \\\frac{dy}{dx}=3-2y\\ \\dy=(3-2y)dx\\\\\frac{1}{3-2y}dy=dx\\ \\\int\limits {\frac{1}{3-2y}dy=\int dx}\\\\\frac{1}{2}ln(|3-2y|)=x+C\\\\ln(|3-2y|)=2x+C\\\\3-2y=e^{2x+C}\\\\3-2y=Ce^{2x}\\\\-2y=Ce^{2x}-3\\\\y=-\frac{Ce^{2x}}{2}+\frac{3}{2}\\ \\y=Ce^{2x}+\frac{3}{2}[/tex]

You can multiply

39 • 24 and it gives you = 936

Answer: A

Step-by-step explanation:

The quotient is x² + 4x +3. Then the correct option is A.

A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.

The quotient is calculated as:-

x - 5 ) x³ - x² - 17x -15 ( x² + 4x + 3

         -x³  + 5x²

      _________________

          4x² - 17x - 15

         -4x² + 20x

       _________________

                   3x -15

                 -3x + 15

       _________________

                         0

Hence, the quotient is  x² + 4x +3.

To know more about quotient follow

https://brainly.com/question/673545

#SPJ5

Answer:

2+5+30/2=18.5

or,

37/2=18.5

Answer:

5/18 of a semicircle

5π/18 radians

Step-by-step explanation:

50/180 = 5/18 of a semicircle

5π/18 radians

Answer:

A - $14.06

Step-by-step explanation:

1) Divide :

7 / 100 = 0.07

2) Multiply :

0.07 * 13.14 = $0.9198

3) Add :

0.9198 + 13.14 = $14.0598

4) Round to the nearest decimal :

So if you round you would get $14.06

Answer:

Option A

Step-by-step explanation:

Given the following question:

7% of $13.14

To find the answer we simply use the formula to calculate percentage.

[tex]\frac{t\times i}{100}[/tex]
[tex]\frac{7\times13.14}{100} =91.98\div100=0.9198[/tex]
[tex]0.9198[/tex]
Round to the nearest cent:
[tex]0.9198[/tex]
[tex]9>5[/tex]
[tex]0.92[/tex]
Add the initial cost and the sales tax:
[tex]13.14+0.92=14.06[/tex]
[tex]14.06[/tex]

The items after a 7% sales tax costs "$14.06 dollars" or option A.

Hope this helps.

From the computation regarding the series, it can be deduced that the sum of the first two terms will be 18.

From the information given, it was stated that the transport charge starts with a minimum charge of R8, and thereafter it was increased by R2 for each kilometer.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Also, expressing T2 in terms of S, and S2 will be T2 = S + S2.

Learn more about arithmetic series on:

brainly.com/question/24295771

Answer:4/5

Step-by-step explanation:

=80 out of 80 - 16 out of 80

=64 out of 80

Answer:

4/5

Step-by-step explanation:

substract the number of questions he got correctly from the total number of the questions to yield 80-16=64

then set the fraction as number of incorrect questions as the numerator and the total number of questions as the denominator

64/60=4/5

gg

Step-by-step explanation:

Answer:

14.0362 degrees (round to 14.0 degrees)

Step-by-step explanation:

1. Assume that the math can be deduced by the sides of a triangle due to the "sightline" nature of the problem. This is a classic trig problem you will see.

2. The base of the triangle would be 12 feet and one of the legs of the triangle will be 3 feet.

3. Arctangent will provide the angle of elevation. The equation can be written as arctan(h/b), in this case h = height and b = base.

4. The calculation will be arctan(3/12) which translates to 14 degrees which is, fortunately, the angle of elevation.

I recommend trying this method out with another example such as the angle of elevation between you and the next plane you see in the sky. For example, the height difference between you and the plane is 7 miles and the plane is x miles away. Again we can create a simple triangle to discover many interesting details.

step by step explanation:

Jake brought a car = 1500rs

Jake sell the car = 1800

profit = sp-cp

so profit = 1800-1500 = 300

profit percent = gain/cp×100

profit percent = 300/1500×100

profit percent = 20% (double zero are cancel and 300 divided by 15)

Answer:

5 is the highest common factor of 40 and 25

[tex] \sqrt{45} + \sqrt{18} [/tex]

[tex] = \sqrt{3 \times 3 \times 5} + \sqrt{2 \times 3 \times 3} \\ = \sqrt{ {3}^{2} \times 5 } + \sqrt{ {3}^{2} \times 2 } [/tex]

[tex] = 3 \sqrt{5} + 3 \sqrt{2} [/tex]

[tex] = 3( \sqrt{5} + \sqrt{2} )[/tex]

Answer:

[tex]3( \sqrt{5} + \sqrt{2} )[/tex]

Hope you could understand.

If you have any query, feel free to ask.

Answer:

Billy has 7 toy cars.

Step-by-step explanation:

If Tommy has 12 toy cars, and Billy has 5 less cars than Tommy, then Billy has 7 toy cars.

12 - 5 = 7

Answer:

c hope this help

Step-by-step explanation:

Answer:

69/61+-34/61i

Step-by-step explanation:

i think this is correct, hope this helped!

Answer:

Part 2. Evaluate: C(-1).

Step-by-step explanation:

How do i solve for number 3.

Answer:

n ≤ 18

Step-by-step explanation:

The students can be 18 but they can't be greater than 18 so the inequality must be n ≤ 18.

Solution (Part-A)

Note that:

Let's reread the clue carefully.

{A class} must have {fewer} than {18 students}

     ↥                              ↥                        ↥

     n                             <                        18

The inequality formed: n < 18

This means that the solution of the inequality can be anything except 18 or above 18.

Solution (Part-B)

Note that:

Let's reread the clue carefully.

{The class} must have {at least} {15 students}

      n                                  ≥                15

The inequality formed: n ≥ 15

This means that the solution of the inequality can be 15 or less than 15.

Solution (Part-C)

The value of n that can be a solution of both inequalities can be 15, 16, and 17.

Hoped this helped!