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3 years ago

15

Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to

find the other side of the garden.

1 answer:

ira [324]3 years ago

6 0

Answer:

22m

Step-by-step explanation:

The computation is shown below:

Since it is a right-triangular garden so we use the pythagoreus theorem

As we know that

The C^2 refers to the longest side of the right-triangular garden

So,

a^2 + b^2 = c^2

a^2 + 14^2 = 26^2

a^2 + 196 = 676

a^2 = 480

So a = 22m

Hence, the other side of the garden is 22m

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Julia makes friendship bracelets. She was recently given nine bracelets from different people. At Christmas, she plans to give a

sergey [27]

Answer:

The number of bracelets with she start are 48.

Step-by-step explanation:

Given:

Julia was recently given 9 bracelets. She plans to give 1/3 of her bracelets. She will be left with 23.

Now, we need to find with how many did she start.

Let the bracelets with she start be $x$ .

She plans to give $\frac{1}{3}ofx$ = $\frac{x}{3}$ .

According to question:

$x-9-\frac{x}{3}=23$

On solving the equation:

$\frac{3x-27-x}{3} =23$

<em>Multiplying both sides by 3 we get:</em>

$3x-27-x=69$

$2x-27=69$

<em>Adding both sides by 27 and then dividing by 2 we get:</em>

$x=48$

Therefore, the number of bracelets with she start are 48.

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2 years ago

Convert (10111)2 into decimal number system

Eva8 [605]

Answer:

$(10111)_2 = (23)_{10}$

Step-by-step explanation:

$(10111)_2 = (1 \times 2^4) + (0 \times 2 ^3) + (1 \times 2^2) + (1 \times 2) + (1 \times 2^0)$

$= 16 + 0 + 4 + 2 + 1\\=23$

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2 years ago

Solve the inequality.

Vika [28.1K]

Answer:

Option C is correct

Step-by-step explanation:

5c – 20 ≤ 15c + 10

<=> 5c - 15c ≤ 20 + 10

<=>-10c ≤ 30

<=> c ≥ -3

Hope this helps!

6 0

3 years ago

Read 2 more answers

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

7 0

3 years ago

Equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?

Lunna [17]

I like pumpkins and you should too. The valiue of a is 2

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3 years ago

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