A counter top is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the counter top is 1,244 square inches. Write and solve an equation to find the height

Answer:

120%

Step-by-step explanation:

It just is

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

Answer:

[tex]15,000\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by [tex]V=s^2\cdot h[/tex], where [tex]s[/tex] is the base length and [tex]h[/tex] is the height. Substituting given values, we have: [tex]V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}[/tex]

The volume of a trapezoidal prism is given by [tex]V=\frac{b_1+b_2}{2}\cdot l\cdot h[/tex], where [tex]b_1[/tex] and [tex]b_2[/tex] are bases of the trapezoid, [tex]l[/tex] is the length of the height of the trapezoid and [tex]h[/tex] is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ([tex]\frac{b_1+b_2}{2}[/tex]) multiplied by the trapezoid's height ([tex]l[/tex]).

Substituting given values, we get:

[tex]V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}[/tex]

Therefore, the total volume of the composite figure is [tex]5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}[/tex] (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

[tex]V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark[/tex]

Answer:

Step-by-step explanation:

let chloe revise maths for x minutes

3/2=x/30

do cross multiplication

2x=30*3

x=90/2

x=45

therefore chloe takes 45 minute to revise maths.

Answer:

7x + 20

Step-by-step explanation:

I dont have a explanation, but this could be right. :)

Answer:

?????????????????????

Answer:

1/6

Step-by-step explanation:

Hope it helps plz give brainliest! :D

[tex]3\frac{1}{3}[/tex]   divided by 20 in simplest form we get 3/2.

Here we have to divide,

[tex]3\frac{1}{3}[/tex]  by 20

Now the given mixed fraction,

[tex]3\frac{1}{3}[/tex] = 10/3

Now we have to evaluate,

10/3 ÷ 20

Since we know that,

To divide two fractions,

Follow the procedures below when splitting two mixed fractions. Transform the mixed fraction into the incorrect fraction. Now multiply the first and second fractions by the reciprocal of the second fraction (i.e., divisor).

Therefore,

10/3 x 1/20 = 3/2

Hence,

[tex]3\frac{1}{3}[/tex]  by 20 = 3/2

To learn more about division visit:

https://brainly.com/question/2273245

#SPJ6

Answer:

[tex]13194.7\ mm^2[/tex]

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]

Answer:

Step-by-step explanation:

Basically you turn 1/2 into fourths,  1/2 = 2/4

After that you would multiply 4 2/4 x 2 1/4

Then you get 10.125 turned into a fraction is 81/8

Answer:

Just two corrections!  See attached image.

Step-by-step explanation:

The product of 8 and b taken from 10 means begin with 10 and subtract 8b from it.

8 times the difference of 10 and b means find 10 - b first, then multiply by 8.

Answer:

A. [tex]-\frac{15}{2} < x< 0[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:

area of the circle,

radius=10m

diameter=20m

πr²

3.14×100

314m²

area of the triangle=1/2×20×10

=100

area of the shaded area=314-100=214 m²

the answer is option H

Answer:

c > 8

where c = cats

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

a = 3√3

a = 3 × 1.732

a = 5.196

a = 5.2 inches

Answer:

you will still pass

Step-by-step explanation:

your grades might drop a little

Answer:

Liz scored more because she would score 94%, while Austin only scored 92%

Answer:

0.5, 0.9, 1.3, 1.7, 2.1, 2.5, 2.9, 3.3, 3.7, 4.1

Now you can add them all

which is equal to 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the total Cost = y

Let the monthly payment number = x

Let the y intercept = 64

y = 26x + 64

610 = 26x + 64                  Subtract 64 from each side

-64             - 64

546  = 26x

26x = 546                         Divide by 26

x = 546/26

x = 21 months

Answer:

7 ft3

Step-by-step explanation:

Answer:

0-5

Step-by-step explanation:

Answer:

2x-2+2x-2+x+x=50

6x-4=50

6x=54

x=9

hope this helps

have a good day :)

Step-by-step explanation:

Answer:2,2

Step-by-step explanation:

Rotate and flip

Plz give me a branliest

Answer:

the first truck

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

Answer:

175 ways

Step-by-step explanation:

5 balls are red, and 7 balls  are blue making a total of 12 balls.

4 balls are drawn from the box,

1 ball is red and 3  balls are blue out of the 4 drawn from the box.

We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.

Since the order is not essential we use combinations to find out

5C1 * 7C3= 5*35 = 175 ways

Answer: Hello some part of your question is missing below is the missing part

Missing question:  Find the probability that the Smith family had at least 6 girls?

answer : 0.1406

Step-by-step explanation:

Number of children = 8

probability of a child being a girl ( success ) = 0.5  (

P( boy ) ( q ) = 1 - 0.5 = 0.5

P( at least 6 girls ) = p(k = 6 ) + p(k = 7 )

                              = 0.109375 + 0.03125 ≈ 0.1406

( using Binomial probability Calculator )