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coldgirl [10]
2 years ago
14

One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square u

nits. Find the length of the longer base.
Mathematics
1 answer:
Gelneren [198K]2 years ago
4 0

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

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An insurance company collected data from a class of high school sophomores on whether or not they have a cell phone and whether
NeX [460]

Answer:

C. Those who have a car tend to have a cell phone.

Step-by-step explanation:

The relative frequency for a data set n is calculated by dividing each frequency x_i by n.

We have a table that relates the use of cars and cell phones.

First, we take from the table the population that has a car.

n = 18

Then, of the students who have a car, 12 have a cell phone and 6 do not have a cell phone.

Then we calculate the relative frequencies f_{x_i} for those who have a cell phone and those who do not.

______________________________________________

Relative frequency   Students with car  n = 18.

-------------------------------------------------- --------------------------------------

C<em>ell phone     No cell phone      Total n</em>

 12/18                    6/18                     18

_______________________________________________

_______________________________________________

Relative frequency   Students with car  n = 18.

-------------------------------------------------- --------------------------------------

C<em>ell phone     No cell phone      Total n</em>

  0.666              0.333                   18

________________________________________________

Most students who have a car also have a cell phone.

Now we calculate the relative frequency for students who do not have a car.

_______________________________________________

Relative frequency  Students without a car  n = 7

-------------------------------------------------- --------------------------------------

<em>Cell phone       No cell phone             Total  n</em>

 2/7                     5/7                          7

_______________________________________________  

_______________________________________________

Relative frequency  Students without a car  n = 7

-------------------------------------------------- --------------------------------------

<em>Cell phone</em>      <em>  No</em> <em>cell phone           Total  n</em>

 0.286                 0.714                              7

_______________________________________________

Most students who do not have a car do not have a cell phone either.

<em>Then these data suggest that. Those who have a car tend to have a cell phone.</em>

Option C

6 0
3 years ago
Bryce grows a sunflower that contains 1,354 sunflower seeds. Six people share the harvested seeds. If they share the seeds equal
iragen [17]

Answer: 4 seeds will left over.

Step-by-step explanation:

Total sunflower seeds = 1354

Number of people shared sunflower  seeds equally = 6

By division operation,

Number of seeds each people will get = (Total sunflower  seeds) ÷ (Number of people shared seeds equally)

= (1354) \div (6)

=225\dfrac{4}{6}

Hence, each people will get 256 sunflower seeds and 4 seeds will left.

5 0
2 years ago
The product of g and 4
ikadub [295]

Answer:

4 grams............

Step-by-step explanation:

4 0
3 years ago
___ x 4 = 12<br> ___ x 5 = 20<br> ___ x 2 = 10
RideAnS [48]

Answer:

3 x 4 = 12

4 x 5 = 20

5 x 2 = 10

Step-by-step explanation:

3 + 3 + 3 + 3 = 12

3 four times equals 12

This is the same for the others

4 + 4 + 4 + 4 + 4 = 20

Four 5 times equals 20

4 0
3 years ago
X = y - 3
mojhsa [17]
Hello,
{x=y-3
{x+3y=13;

{x=y-3
{y-3+3y=13;


{x=y-3
{4y=13+3;

{x=y-3
{4y=16;

{x=y-3
{y=16:4=4;

{x=4-3=1
{y=4;

{x=1
{y=4

the solution to the system of equations is (1,4)

Bye :-)
8 0
3 years ago
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