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3 years ago

Can someone help me please

Mathematics

2 answers:

kramer3 years ago

8 0

Answer:

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Step-by-step explanation:

Ludmilka [50]3 years ago

4 0

Answer:

IJ = 15

Step-by-step explanation:

Since ∠ I ≅ ∠ H , then Δ HIJ is isosceles with sides JH and IJ congruent.

Thus IJ = JH = 15

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A pitcher of fruit punch holds 2 gallons. If nine people share the entire pitcher equally, how much punch does each person get?

Lesechka [4]

2 gallons divided between 9 people would equal 0.222222222 gallons per person

6 0

3 years ago

Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago

90 points

yan [13]

Answer:

Pythagorean Theorum is defined in Mathematics by a^2 + b^2 = c^2.

One leg (a) is 5. The other leg (b) is 13.

Let's use Pythagorean Theorum.

5^2 + 13^2 = c^2

5 • 5 = 25

13 • 13 = 169

25 + 169 = 194.

Step-by-step explanation:

Hope this helps

5 0

3 years ago

Read 2 more answers

Which equation is represented by the intersection of the graphs below?<br><br> Image is above.

zaharov [31]

Option B:

sin x = 1 is the equation represented by the intersection of the graph.

Solution:

The graph lies between -1 and 1 in y-axis.

x-axis of the graph is all real numbers.

The graph oscillates between -1 and 1 and a shape that repeats itself every 2π units.

That is the domain of the graph is all real numbers.

The range of the graph is [-1, 1].

It clearly shows that, it is the graph of sinx = 1.

Hence sin x = 1 is the equation represented by the intersection of the graph.

Option B is the correct answer.

3 0

3 years ago

20 points!!!! Freya is collecting 50p and £1 coins. When she has 18 coins the value of them is £13.

storchak [24]

Answer:IT IS B srry caps lol it is b bc 50/18

Step-by-step explanation:

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3 years ago