A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other base is 24 feet. The height is 12 feet. What is the area of this section of the deck?

Answer:

the correct function is linear

Step-by-step explanation:

Answer:

55.4 ft/s

Step-by-step explanation:

The easiest way to do this is to plug it into a calculator. The problem tells us that x is an object that has fallen a certain amount of feet. Then, the problem gives us that the object has fallen 48 feet. We can now plug 48 in for x and you get 55.4

Answer:

Option (a) is correct.

a = 15.68 and  b = 19.58

Step-by-step explanation:

Given: A triangle with some given measurements.

We have to find the values of a and b.

For a triangle ABC , with side opposite to angle A is a , side opposite to angle B is b and side opposite to angle C is c,

Using Sine rule , we have,

For the given Δ ABC,

∠A = 50° , ∠B = 107°

AB = c = 8 , AC = b and BC = a

Using angle sum property of triangle,

Sum of angles of a triangle is always 180°

So ,  ∠A + ∠B +∠C = 180°

Solving for ∠C , we get,

∠C = 180° - 107° - 50°

∠C = 23°

Substitute in Sine rule  , we have,

Consider first and last  ratios, we have,

Solving for a, we have,

We get , a = 15.68

Consider last two ratios, we have,

and now solving for b ,

We get , b = 19.58

Thus, option (a) is correct.

a = 15.68 and  b = 19.58

Answer:

The two lines are neither parallel nor perpendicular

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope of the line and b is the y intercept of the line

Now, we express the two given equations in this form

We have this as;

7y = x + 5

y = 1/7(x) + 5/7

For the second equation, we have;

y = 7x - 4; this is already expressed

the slope of the first line is 1/7

the slope of the second line is 7

when two lines are parallel, their slopes are equal

when two lines are perpendicular, the product of their slopes is -1

As we can see, both cases does not occur in this system of equations

So, we can conclude that both lines are neither parallel nor perpendicular

Answer:

9.8 * 10^-11

Step-by-step explanation:

The exponent will be negative as the number is less than 1.

After the decimal point there are 11 digits up to and including the 9.

Answer:

1 and 3 are the only ones that have one solution. basically, when dealing with system of equations there can be one of three answers- one solution, infinitely many solutions, or no solution. Using elimination or substitution to solve each system of equation will give you the answer.

Step-by-step explanation:

i hope this helps :)

Answer:

£160

Step-by-step explanation:

£262 x (100% - 39%) = £159.82 ≈ £160

Answer:

159.82

Step-by-step explanation:

262-%

262-(39%-262)

61/100*262

we take hundred at the place of%

61*262/100

15982/100

159.82

therefore£160

Answer:

Step-by-step explanation:

hello :

d. No solution

Answer:

6

Step-by-step explanation:

25 / 10 = 2.5

15 / 2.5 = 6

Answer:

Number of rolls to be purchased = 4

Step-by-step explanation:

Mr. Painter wants to install a carpet in the playroom having dimensions as 15 ft by 13 ft.

Area of the playroom's floor = Length × Width

                                               = 15 × 13

                                               = 195 square feet

∵  55 square feet of the floor is covered by number of rolls = 1

∴ 1 square feet area will require the number of rolls = [tex]\frac{1}{55}[/tex]

∴ 195 square feet will require the number of rolls = [tex]\frac{195}{55}[/tex]

                                                                                  = 3.55

Therefore, number of rolls to be purchased = 4                                                    

Answer:

7.02

Step-by-step explanation:

the answer is 7.02 because 0.78×9=7.02

Answer:

7.02

Step-by-step explanation:

cost of 1 bag = 0.78

cost of 9 bags = 9 × 0.78 = 7.02

Answer:

The probability of getting exactly two tails = 1/4

All the values greater than 1/4

or 3/4

Step-by-step explanation:

In a flip of a coin the probability of getting a tail is 1/2. If this is denoted by p =1/2 then q= 1-p= 1-1/2= 1/2

and if we have number of trials n=2

Then the binomial distribution can be applied.

(p+q)ⁿ =(p+q)² = 2c0p⁰q2 + 2c1p¹q¹ + 2c2p²q⁰

We wish to find probability of flipping exactly two coins  given by 2c2p²q⁰

= 2c2 (1/2)²(1/2)⁰

= 1/4

So the probability of getting exactly two tails = 1/4

The probability greater than 1/4 can be  all the values from 2/4, 3/4 ------1

or it can be found by

1- 1/4 = 3/4

as the total probability is always equal to 1

Answer:

x=4

Step-by-step explanation:

C+E=180

14x-8+132=180

14x=180-132+8

14x=56

x=4

Answer:

10°

Step-by-step explanation:

132° = (14x - 8)°

140° = 14x

× = 10°

Answer:

$18.35

Step-by-step explanati

Your Welcome

Answer:

15.9

Step-by-step explanation:

6^2 + x^2 = 17^2

36 + x2 = 289

x2 = 253

x= √ 253 = 15.9

Answer:

it would be 18 in 1 minute

Answer:

i think A tell me if it is wrong pls

Step-by-step explanation:

Answer:i dont remember

Step-by-step explanation:

Answer:

7 Gallons and 6 pints !

Step-by-step explanation:

62 ÷ 8 = 7.75 gal.

0.75 gallons is 6 pints.

So, Its 7 gallons and 6 pints

Answer:

7 gallons 4 pints

Step-by-step explanation:

2 pints = 1 quart and 4 quarts = 1 gallon, and so 8 pints = 1 gallon

Write and solve an equation of proportions to answer this question:

 8 pints         1 gal

--------------- = -----------

62 pints            x

Cross-multiplying, we get 8x = 62, or 7 1/2.

That's 7 gallons 4 pints.

Answer:

First option is correct answer that is arrow turning in right side.

You can follow me to get more answer.

Answer:

-15

Step-by-step explanation:

0)(2)+(2)(0)−15

=−15

Answer:

The answer is the letter D

Step-by-step explanation:

The sum of 2t and 2 could be written as:

[tex]a=2t+2[/tex]

Now, the twice of the cube of s will be:

[tex]b=2s^{3}[/tex]

Finally, the quotient between a and b will be:

[tex]\frac{a}{b}=\frac{2t+2}{2s^{3}}[/tex]

Therefore the answer is the letter D

I hope it helps you!

Answer:

f(x^3-8)=x^6-19x^3+90

Step-by-step explanation:

Answer:

10) min = 5

max = 225

IRQ = 60

That's all I got

sorry

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Solution is in the picture

Answer:

D. 2/3

If 2/6 equals 1/3, then 1/3 + 1/3 = 2/3.

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

Answer:

Picture #1

Triangles ΔJKL and ΔXYZ have:

∠X is corresponding to ∠J, since they are different (90° vs 38°), the triangles can't be similar

Picture #2

Perimeter is the sum of the sides each has same ratio.

The ratio of the perimeters will be same as the ratio of each corresponding pair.

Correct choice is C. 3:5

Picture #3

Use ratios of corresponding sides:

Correct choice is B

Answer:

-12 and 8

Step-by-step explanation:

Answer:

8 and -12

Step-by-step explanation:

xy = -96

x+y = -4

x = -y-4 which is the same as

substitution method:

y(-y-4) = -96

-y² - 4y + 96 = 0

-(y² + 4y - 96) = 0

(y + 12)(y - 8) = 0

y = -12

y = 8

Answer:

B. 40

Step-by-step explanation:

It looks like a 90-degree angle so...

90 - 30 = 60

60 - 20 = 40

40 would be your final answer.

Answer:

the volume of rectangular prism is 11 ft.

the volume of triangle prism is 7 ft.