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Sauron [17]
3 years ago
15

Violeta wants to install new tiling in her kitchen. She places two triangular tiles together as shown in the following figure. I

n order to plan her installation, she needs to find the length of BC

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Answer:

25

Step-by-step explanation:

To obtain the length of BC, we shall apply the pythagoras theory as show below:

From the diagram above, the pythagoras theory states as follow:

|BD|² = |CD|² + |BC|²

|BD| = 65

|CD| = 60

|BC| = m

|BD|² = |CD|² + |BC|²

65² = 60² + m²

4225 = 3600 + m²

Collect like terms

m² = 4225 – 3600

m² = 625

Take the square root of both side

m = √625

m = 25

|BC| = m = 25

Therefore, the length of BC is 25

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Craig and Alissa are building a sandcastle on the beach. They each have a bucket. Craig's bucket holds 1/2 pound of sand and Ali
Nitella [24]
<h3>Amount of sand craig and Alissa collect together at one time is 1.4 pounds</h3>

<em><u>Solution:</u></em>

Given that,

Craig and Alissa are building a sandcastle on the beach. They each have a bucket

Craig's bucket holds 1/2 pound of sand and Alissa's bucket holds 9/10 pound of sand

Therefore,

Craig\ bucket = \frac{1}{2}\ pound\\\\Alissa\ bucket = \frac{9}{10}\ pound

<em><u>How much sand can craig Alissa collect together at one time</u></em>

Add both, we get

Collect\ together = \frac{1}{2} + \frac{9}{10}\\\\Collect\ together = \frac{1 \times 5}{2 \times 5} + \frac{9}{10}\\\\Collect\ together = \frac{5}{10} + \frac{9}{10}\\\\Collect\ together = \frac{9+5}{10}\\\\Collect\ together = \frac{14}{10} = \frac{7}{5} = 1.4\\\\In\ mixed\ fractions,\\\\Collect\ together = 1\frac{2}{5}

Thus, amount of sand craig and Alissa collect together at one time is 1.4 pounds

4 0
3 years ago
You have to pay 15p to park for every 8 minutes. How much would I pay to park for 90 minutes?
Ahat [919]

Answer:

I am not exactly sure but it is around 170p

Step-by-step explanation:

3 0
3 years ago
Tell whether the given number is a solution of each question. ( Must show work for credit)
guajiro [1.7K]

Answer/Step-by-step explanation:

1. 9 = 2a + 3 ; 3

Let's solve for a.

9 - 3 = 2a (subtraction property of equality)

6 = 2a

\frac{6}{2} = a (division property of equality)

3 = a

a = 3

Therefore, 3 is a solution to 9 = 2a + 3

2. 5n - (-30) = 5 ; 7

5n + 30 = 5 (- × - = +)

5n = 5 - 30 (Subtraction property of equality)

5n = -25

\frac{5n}{5} = \frac{-25}{5} (division property of equality)

n = -5

Therefore, 7 is not a solution of 5n - (-30) = 5

3. 4.4r - 2.8 = 1.6 ; 1

4.4r = 1.6 + 2.8

4.4r = 4.4

\frac{4.4r}{4.4} = \frac{4.4}{4.4}

r = 1

Therefore, 1 is a solution of 4.4r - 2.8 = 1.6.

5 0
3 years ago
How could you use subtraction to find the area of a figure
wel

Answer:

brainly.com/question/7699717

Step-by-step explanation:

8 0
2 years ago
Consider the first 2 terms of the sequence -6, 18,...
____ [38]

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

5 0
2 years ago
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