18.386 round to the nearest hundredth

an isosceles triangle is a right triangle with congruent legs. if the length of each leg is represented by x, what algebraic exp

disa [49]

By the Pythagorean theorem x^2 + x^2 =h^2. so 2x^2=h^2 or h = x✓2

7 0

3 years ago

Find AB for quadrilateral ABCD on the

lozanna [386]

Answer:

A) Distance Formula

Step-by-step explanation:

|AB| is the magnitude of segment AB.

AB is one side of rectangle ABCD.

To find the length of this segment, we use the distance formula;

The distance formula is given as:

$|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The correct answer is A

8 0

4 years ago

Which table shows a proportional relationship between X and Y?

Natasha_Volkova [10]

Answer:

Table 3

X. 1,3,4,5

Y. 50,150,200,250

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Verify each table

Find the value of k for each ordered pair

If the value of k is the same for all ordered pairs, then the table represents a proportional relationship.

If the k-value is different for any of the ordered pairs, then the table does not represent a proportional relationship

Table 1

For x=2, y=6 ---> $k=\frac{y}{x}$ ----> $k=\frac{6}{2}=3$

For x=4, y=12 ---> $k=\frac{y}{x}$ ----> $k=\frac{12}{4}=3$

For x=5, y=18 ---> $k=\frac{y}{x}$ ----> $k=\frac{18}{5}=3.6$

The values of k are different

therefore

The table 1 not represent a proportional relationship

Table 2

For x=3, y=1.5 ---> $k=\frac{y}{x}$ ----> $k=\frac{1.5}{3}=0.5$

For x=5, y=2.5 ---> $k=\frac{y}{x}$ ----> $k=\frac{2.5}{5}=0.5$

For x=7, y=3 ---> $k=\frac{y}{x}$ ----> $k=\frac{3}{7}=0.4$

The values of k are different

therefore

The table 2 not represent a proportional relationship

Table 3

For x=1, y=50 ---> $k=\frac{y}{x}$ ----> $k=\frac{50}{1}=50$

For x=3, y=150 ---> $k=\frac{y}{x}$ ----> $k=\frac{150}{3}=50$

For x=4, y=200 ---> $k=\frac{y}{x}$ ----> $k=\frac{200}{4}=50$

For x=5, y=250 ---> $k=\frac{y}{x}$ ----> $k=\frac{250}{5}=50$

The values of k are the same

therefore

The table 3 represent a proportional relationship

Table 4

For x=1, y=1.5 ---> $k=\frac{y}{x}$ ----> $k=\frac{1.5}{1}=1.5$

For x=2, y=3 ---> $k=\frac{y}{x}$ ----> $k=\frac{3}{2}=1.5$

For x=3, y=6 ---> $k=\frac{y}{x}$ ----> $k=\frac{6}{3}=2$

The values of k are different

therefore

The table 4 not represent a proportional relationship

6 0

3 years ago

Sam has already worked for 27.7 hours this week. He washes cars, and can wash a car in 2.5 hours. He wants to work over 60.2 hou

vivado [14]

The question is incomplete ; we could calculate the least number of cars he can still wash for the week expressed in inequality form.

Answer:

x > 13 ; 13

Step-by-step explanation:

Given that :

Anticipated work hour for entire week = 60.2 hours

Hours worked = 27.7 hours

Rate of car wash = 2.5 per hour

Hours left to work for the week :

60.2 - 27.7 = 32.5

Hours left / unit rate of car wash

32.5 / 2.5

= 13

Hours worked +( hours left * unit rate) > anticipated hours

27.7 + 2.5x < 60.2

2.5x > 60.2 - 27.7

2.5x > 32.5

x > 32.5 / 2.5

x > 13

Hence ; Sam could still wash over 13 cars this week

5 0

3 years ago

Hugh has $200 in his bank account. Hugh wrote six checks from his account in the following amounts: $20, $20, $12, $20, $12, and

andreev551 [17]

The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116.

<h3>How to determine the balance of a bank account</h3>

Here in this question we should understand the situation like a game with the following rules for the account balance:

A check from the account means a subtraction of money.
A deposit means an addition of money.
Service fee means also a subtraction of money.

After a careful reading, we apply the rules described above and have the following calculation:

x = $ 200 - $ 20 - $ 20 - $ 12 - $ 20 - $ 12 - $ 42 + $ 57 - $ 15

x = $ 116

The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116. $\blacksquare$

To learn more on bank accounts, we kindly invite to check this verifed question: brainly.com/question/16953228

8 0

2 years ago