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3 years ago

A rectangular patio is 11 feet by 13 feet. What is the length of the diagonal of the patio?

Mathematics

1 answer:

Andrei [34K]3 years ago

6 0

Answer:

Step-by-step explanation:

use pythagoras

diagonal = $\sqrt{11^{2} + 13^{2} } \\$

= $\sqrt{290}$ feet or 17.03 feet

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24-4x=32<br><br><br> Show your work

Mandarinka [93]

Answer:

-2

Step-by-step explanation:

24 - 4x =32

-4x =32 - 24

-4x=8

x=-8 :4

x=-2

8 0

2 years ago

Read 2 more answers

Katen [24]

Answer:

The average speed is 24 km/h less than the top speed of the lorry.

Step-by-step explanation:

The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained

Given:.

Top speed of the lorry = 90 km/h

Average speed of the lorry = 66 km/h

Then,

The difference between the speed reached = top speed - average speed

= 90 - 66

= 24 km/h

Therefore, the average speed is 24 km/h less than the top speed of the lorry.

8 0

2 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

2 years ago

Please help me i need to reconcile but it is hard, thank you

Elina [12.6K]

Answer:

Step-by-step explanation:

Add the first two columns - third column. See if it equals last column.

Number one is correct, number 2 is off by $1.00,etc

let me know if you are still confused

5 0

2 years ago

Brandon and his children went into a bakery and where they sell donuts for $1.25 each and cookies for $0.25 each brandon has $5.

zvonat [6]

Answer

4 doughnuts

Step-by-step explanation:

.25 times 2 is .5

5.5-.5=5

5/1.25=4

5 0

2 years ago