The height of a trapezoid is 6 in. and its area is 72 inches squared. One base of the trapezoid is 6 inches longer than the other base. What are the LENGTHS of the bases?

Answer:

1. 73.12, 2. 94.25, 3. 96, 4. 54, 5. 62.28, 6. 90.48

this is kinda rushed so you might want to check my answers

Step-by-step explanation:

1. find the area of the rectangle and semi circle seperately then add

4*12 = 48, (8/2)^2 *pi /2 = 8pi = 25.12

48+25.12 = 73.12

2. find the area of the triangle and semicircle then add

11*10/2 = 55, (10/2)^2 * pi / 2 = 39.25

55+39.25 = 94.25

3. split the shape into a trangle and a square

12*(2+6+2)/2 = 60, 6*6 = 36

36+60 = 96

4. split into 2 rectangles

10*3 = 30, 6*4 = 24

30+24=54

5. find area of rectangle and subtract area of semicircle

4*14 = 56, (4/2)^2 * pi /2 = 6.28

56+6.28 = 62.28

6. area of circle minus area of rectangle

(16/2)^2 * pi /2 = 100.48, 2*5 = 10,

100.48-10= 90.48

Answer: 9cm

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]\frac{2}{3} +\frac{1}{6}= \frac{ }{6} \\[/tex]

Here LCM will be 6. (We made the denominator same)

so, now the equation will be :

[tex]\frac{2}{3}+\frac{1}{6} \\\\ =\frac{4}{6} + \frac{1}{6}[/tex]

= 5/6

So, the value in the red box is 5.

Hope it helps!

Answer: 48

Step-by-step explanation: sales rate =25%

75% $36

1% = 36/75

100% = 36/75 × 100/1

Answer:

$27.17

Step-by-step explanation:

Regular price of necklace = $44

If a discount of 35% is applied, then the new price of the necklace will be 65% of the regular price, as 100% - 35% = 65%

⇒ 65% of $44

= 0.65 × $44

= $28.60

If a second discount of 5% is then applied, the final price of the necklace will be 95% of the sale price, as 100% - 5% = 95%

⇒ 95% of $28.60

= 0.95 × $28.60

= $27.17

Therefore:

The sale price with a 35% discount is $28.60

The sale price with an additional 5% discount is $27.17

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

Given :-

The regular price of necklace = $44

Discount on necklace = 35%

Additional save from necklace = 5%

Solution :-

First we have to found the prize of necklace that Amantha had bought at 35% discount

To find this, there is a formula

[tex]new \: price = real \: price - (discount \: percentage \times real \: price) [/tex]

Now we will put our value in this formula

[tex] = 44 - ( \frac{35}{100} \times 44) \\ = 44 - ( \frac{7}{20} \times 44) \\ = 44 - ( \frac{7}{10} \times 22) \\ = 44 - \frac{154}{10} \\ = 44 - 15.4 \\ = 28.6 \:[/tex]

Now will deduct the additional discount from this price by using same formula

[tex] = 28.6 - ( \frac{5}{100} \times 28.6) \\ = 28.6 - ( \frac{1}{20} \times \frac{286}{10} ) \\ = 28.6 - ( \frac{1}{10} \times \frac{143}{10} ) \\ = 28.6 - 1.43 \\ = 27.17[/tex]

Result :-

She spend $27.17 on buying the necklace

Answer:

acdfe

Step-by-step explanation

right

multiples of 8 are all the numbers which are divisible by 8, for eg: 8,16,24,32,40,48...

P card has all multiples of 8

hope it helps...!!!

Answer:

The correct answer would be C) 30

Answer:

Probability of choosing a person studying both languages is 1/3

Step-by-step explanation:

Answer:

6

Hope This Helps! :)

Answer:

38/45

Step-by-step explanation:

Answer:

38/45

Step-by-step explanation:

Hope it helps

Answer:

The answer is B) 40 yards for $45.00

Step-by-step explanation:

Options:

A) 20 yards per $30.00

B) 40 yards per $45.00

C) 50 yards per $70.00

C) 65 yards per $85.00

Think if buying something at the lowest cost which gives more.

1 yard per $1.00, sounds like a good deal.

20 yards per $30.00 which mean $10.00 more.

40 yeards per $45.00 which mean $5.00 more.

50 yards per $70.00 which mean $20.00 more.

65 yeards per $85.00 which mean $25.00 more.

Answer:

D. -20

Step-by-step explanation:

[tex]\frac{u}{5} +6=2[/tex]

[tex]\frac{u}{5} =-4[/tex]

[tex]u=-4(5)[/tex]

[tex]u=-20[/tex]

Hope this helps!

Answer:

D.

Step-by-step explanation:

u / 5 + 6 = 2

-20 / 5 + 6 = 2

-4 + 6 = 2

2 = 2

Answer:

108.8yd²

Step-by-step explanation:

Area of a Side Angle Side triangle : Area = 1/2 ( a × b ) × sin(c)

where a and b = the side lengths and c = the angle

Here the given side lengths are 23yds and 9.5yds and the angle given has a measure of 85° so a = 23, b = 9.5 and c = 85

Area = = 1/2 ( a × b ) × sin(c)

a = 23 , b = 9.5 and c = 85

Area = 1/2 ( 23 × 9.5 ) × sin(85)

==> multiply 23 and 9.5

Area = 1/2 ( 218.5 ) × sin(85)

==> multiply 1/2 and 218.5

Area = 109.25 × sin(85)

==> multiply sin(85) and 109.25

Area = 108.8yd²

Note: When the triangle is not a right triangle ( when there is no 90° angle ) we have to use a special formula in order to find the area. Here this is given a side an angle and a side, when given a side an angle and another side you can solve using the formula Area = 1/2 ( a × b ) × sin(c)

Answer:

0.773 thousandths place

Answer:

0.772

Step-by-step explanation:

Thats what i got!

Hope this helps! :)

Answer:

27°

Step-by-step explanation:

Answer:

∠OAC = 27°

Step-by-step explanation:

The radius of the circle is perpendicular to the tangent line.

Therefore, ∠ACO = 90°

The interior angles of a triangle sum to 180°

⇒ ∠OAC + ∠ACO ∠ COA = 180°

⇒ ∠OAC + 90° + 63° = 180°

⇒ ∠OAC + 153° = 180°

⇒ ∠OAC = 180° - 153°

⇒ ∠OAC = 27°

Answer:

The correct order is:

1. identify the variable

2. identify the operation

3. write an equation

4. solve the equation

5. check the solution

Step-by-step explanation:

Answer:

a) growth

b) 3%

c) 6 years (since the beginning of the decade)

Step-by-step explanation:

Given:

The population P (in thousands) of Austin, Texas during a recent decade can be approximated by [tex]y=494.29(1.03)^t[/tex] when t is the number of years since the beginning of the decade.

General form of an exponential function: [tex]y=ab^x[/tex]

where:

If [tex]b > 1[/tex] then it is an increasing function

If [tex]0 < b < 1[/tex] then it is a decreasing function

a) The model represents exponential growth as 1.03 > 1

b) The annual percent increase of the population is 3%

1.03 - 1 = 0.03

0.03 x 100 = 3%

c) To estimate when was population about 590,000 set y = 590 and solve for t:

[tex]\implies 590=494.29(1.03)^t[/tex]

[tex]\implies \dfrac{590}{494.29}=(1.03)^t[/tex]

Take natural logs of both sides:

[tex]\implies \ln\left(\dfrac{590}{494.29}\right)=\ln (1.03)^t[/tex]

[tex]\implies \ln\left(\dfrac{590}{494.29}\right)=t\ln (1.03)[/tex]

[tex]\implies t=\dfrac{\ln\left(\dfrac{590}{494.29}\right)}{\ln (1.03)}[/tex]

[tex]\implies t=5.988069001...[/tex]

Therefore the population was about 590,000 6 years since the beginning of the decade.

Answer:

(0, - 3 )

Step-by-step explanation:

the solution to the system is at the point of intersection of the graphs.

the graphs intersect at (0, - 3 )

then solution is (0, - 3 )

Answer:

(0, -3)

Step-by-step explanation:

The solution is where the two lines intersect. The two lines intersect at the point (0, -3).

I hope it helped you!

[tex]~~~~(3x-4)^2 = 22\\\\\implies 3x-4 = \pm\sqrt{22}\\\\\implies 3x = 4 \pm\sqrt{22}\\\\\implies x = \dfrac{4\pm \sqrt{22}}3 \\\\\text{Hence,}~~ x = \dfrac{4+ \sqrt{22}}3~~ \text{and}~~ x = \dfrac{4-\sqrt{22}}3[/tex]

Answer:

$30

Step-by-step explanation:

50÷5=10x3=30

Answer:

30

Step-by-step explanation:

500 g = 1/2 kg => 2 weeks he loses 1 kg

105 - 90 = 15 kg

So he needs to take 30 weeks in total. ( 15 * 2)

Let weeks be x

So

Answer:

The answer should be: -2, 0, -8, -18

Answer: A= 42 degrees

Step-by-step explanation:

A= 180-90-48=42 (degrees)

Answer:

A= 42 degrees

a = 27

c= 40.4

Step-by-step explanation:

48 - 90 = 42 (we know the remaining angle area is 90 because its a right triangle and a traingle is 180 degrees)

to find the answer of a we need to use tan(48) and when you convert that to radians you get 1.1106 ish tan is opposite over adjacent and we know the opposite is 30 but we dont know a so we put [tex]\frac{30}{a}[/tex] = 1.1106 and put a on both sides so you divide 30 by 1.1106 and dget 27.0124 and round to the nearest tenth to get 27

to find c you need to find the hypotanuse which is [tex]a^{2}[/tex]+[tex]b^{2} =c^{2}[/tex]

30 squared is 900 add that to 27 squared which is 729 and you get 1629

find the square root of 1629 to get 40.3608 and then round that to the nearest tentth to get 40.4

Answer:

240m2 (square metre)

Step-by-step explanation:

Just too smart.

Answer:

$323.65

Hope this helps :D

It will charge $323.63 in prepaid interest on a $500,000 loan.

Prepaid interest charges are charges due at closing for any daily interest that accrues on your loan between the date you close on your mortgage loan and the period covered by your first monthly mortgage payment.

Given that, a $500,000 loan with an APR of 4.725% we need to calculate the prepaid interest on it,

The prepaid interest is calculated by :-

First, you will take your annual interest rate of 4.725% and divide it by 365 to calculate your daily rate = 4.725% / 365

After you have your daily rate, multiply it by your loan amount to calculate your daily loan interest amount = 0.013% × $500,000 = $64.72

Next, you will need to multiply the number of days between your closing and first payment by your daily interest charge = $64.72 × 5 = 323.63

Hence, it will charge $323.63 in prepaid interest on a $500,000 loan.

Learn more about prepaid interest, click;

https://brainly.com/question/2587709

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Answer:

A. 3

Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient

Answer:butt no ayes

Step-by-step explanation:10 is a yes is no