How many fluid ounces are in 1 quart

QRST is a square. PQ = 2√ RU = 4<br> What is the length of SU? Round to the nearest tenth.

777dan777 [17]

Answer:

$SU=3.5\ units$

Step-by-step explanation:

step 1

In the isosceles right triangle PQT

PQ=PT ----> because is an isosceles triangle

Applying the Pythagoras Theorem

we have

$PQ=PT =\sqrt{2}\ units$

$QT^{2}=PQ^{2} +PT^{2}$

substitute the values

$QT^{2}=\sqrt{2}^{2} +\sqrt{2}^{2}$

$QT^{2}=4$

$QT=2\ units$

step 2

In the square QRST

$RS=QT=2\ units$

step 3

In the right triangle RSU

Applying the Pythagoras Theorem

$RU^{2}=RS^{2} +SU^{2}$

we have

$RU=4\ units$

$RS=2\ units$

substitute the values and solve for SU

$4^{2}=2^{2} +SU^{2}$

$SU^{2}=4^{2}-2^{2}$

$SU^{2}=12$

$SU=2\sqrt{3}\ units$

$SU=3.5\ units$

8 0

3 years ago

A=1/2 (2x + 4) (6x + 4) solve using FOIL

boyakko [2]

A = 1/2 (12x² + 8x + 24x + 16)
A = 1/2 (12x² + 32x + 16)
A = 6x² + 16x + 8

-----------------------------------------------------------
Answer: 6x² + 16x + 8
-----------------------------------------------------------

7 0

3 years ago

On a map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the houses? Use pen

dangina [55]

Answer:

The actual distance between the houses is 18.9 miles.

Step-by-step explanation:

The exact question is as follows :

Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.

To find - What is the actual distance between the houses?

Solution -

Given that,

1 inch = 5.4 miles

⇒3.5 inches = 3.5 × 5.4 miles

= 18.9 miles

∴ we get

The actual distance between the houses is 18.9 miles.

7 0

2 years ago

Identify the numerical coefficient of the term -13x^2y

nalin [4]

Answer:

2y

Step-by-step explanation:

5 0

3 years ago

Please help thank you

Allushta [10]

The average rate of change of credit card is $ 401.79 /year.

<h3>What is Average Rate?</h3>

A single rate that is a weighted average of the different rates that are applicable to property in various locations.
An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set (the arithmetic mean).

<u>Solution</u>

The difference of credit card debt between the year 2006 and 1992 = 8900 - 3275 = $5625

The difference of years between the year 2006 and 1992 = 2006 - 1992 = 14

average rate of change of credit card debt with respect to time = $\frac{difference of credit card debt}{difference of years}$

average rate = $\frac{5625}{14}$ = $ 401.79 / year

know more about average numerical brainly.com/question/18296887

#SPJ4

6 0

2 years ago