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2 years ago

Find the diagonal of a square whose sides are of the given measure. Given =

Mathematics

1 answer:

Contact [7]2 years ago

6 0

Answer:

7 $\sqrt{42}$

Step-by-step explanation:

The diagonal is the hypotenuse of the right triangle with legs 7 $\sqrt{3}$

Use Pythagoras' identity to solve for the diagonal d

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = (7 $\sqrt{3}$ )² + (7 $\sqrt{3}$ )²

= 147 + 147

= 294 ( take the square root of both sides )

d = $\sqrt{294}$ = 7 $\sqrt{42}$ ≈ 45.37 ( to 2 dec. places )

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What is 1+1=<br> I will give brainlist

lorasvet [3.4K]

Answer:

Step-by-step explanation:

4 0

2 years ago

Theo, Nancy, and Mary each drove separately to meet at Approximately how

Step2247 [10]

Mary's house is approximately 49.73 miles from her grandmother's house.

The distances the three drove were;

Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.

Explanation:

The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
Nancy drove √2,840 miles = 53.2916 miles.
So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.

8 0

3 years ago

Read 2 more answers

Miguel e nádia trabalham num escritório de contabilidade. A cada 45 minutos miguel vai á sala de café para relaxar um pouco, enq

Kazeer [188]

Responder:

3 horas

Explicação passo a passo:

Dado :

Miguel a cada 45 minutos

Nádia a cada 60 minutos

Número de horas que eles vão se ver no mesmo lugar:

Para fazer isso ;

Obtenha o menor múltiplo comum de 60 e 45

Múltiplos de:

45: 45, 90, 135, 180, 225.

60: 60, 120, 180, 240, 300.

O menor múltiplo comum de 45 e 60 é 180

° Assim, eles se verão no mesmo lugar após 180 minutos;

Número de horas = 180/60 = 3 horas

6 0

2 years ago

a fruit delivers its fruit in two types of boxes: large and small. a delivery of 3 large boxes and 5 small boxes has a total wei

Masteriza [31]

Answer:

The weight of a small box = 13.5 kg

The weight of 1 large box = 18.5 kg

Step-by-step explanation:

Let us assume the weight of a small box = m kg

And the weight of 1 large box = n kg

Now, the weight of 5 small box = 5 x (weight of 1 small box) = 5 m

Also, the weight of 3 large box = 3 x (weight of 1 large box) = 3 n

Here, 3 large boxes + 5 small boxes = of 123 kilograms

⇒ 5 m + 3 n = 123 .... (1)

Again, the weight of 2 small box = 2 x (weight of 1 small box) = 2 m

Also, the weight of 12 large box = 12 x (weight of 1 large box) = 12 n

Here, 12 large boxes + 2 small boxes = 249 kilograms

⇒ 2 m+ 12 n = 249 .... (2)

Now, solving both the given equations by ELIMINATION, we get:

5 m + 3 n = 123 x (2)

2 m+ 12 n = 249 x (-5)

we get the new set of equitation as:

10 m + 6 n = 246

- 10 m - 60 n = -1245

Adding both equation, we get

-54 n = 999

or, n = 18.5

Now, 5 m + 3 n = 123

So, 5 m = 123 -3 (18.5) = 123 - 55.5 = 67.5

⇒ m = 13.5

Hence, the weight of a small box = m kg = 13.5 kg

And the weight of 1 large box = n kg = 18.5 kg

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3 years ago

Which equation have the same value of × as 3/5(30×-15)=72 check all that apply

DanielleElmas [232]

Answer:

Step-by-step explanation:

x=4.5

4 0

3 years ago