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Kay [80]
2 years ago
11

To complete the music program, a student must present

Mathematics
1 answer:
Vladimir [108]2 years ago
8 0

To complete the music program, a student must present one vocal performance, one instrumental performance,  and compose one original work.

What Is A Complex Sentence?

One independent clause and at least one dependent clause connected by subordinating conjunction make up a complex sentence. One of the four fundamental forms of sentences in the English language is complex sentences.

Complex sentences need a minimum of three components:

Independent Clauses: In writing, independent sentences are made up of the whole concepts stated along with a noun and verb (a subject and predicate). Independent clauses are capable of standing alone as whole sentences.

Dependent Clauses: Dependent clauses, also known as the subordinate clause, include a noun and a verb but are unable to articulate a coherent idea.

Subordinating conjunctions: Subordinating conjunctions are used to connect dependent clauses to independent clauses in complex sentences. These are the connecting words between the two clauses.

To learn more about Complex sentences, Visit:

brainly.com/question/930861

#SPJ4

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In the figure, side AB is given by the expression 5x+5x+3, and side BC is 3x+92x−4. The simplified expression for the area of re
miss Akunina [59]
Area = side AB * side BC  =  (5x + 5x + 3)(3x + 92x - 4)

= (10x + 3)(95x - 4) =  950x^2 - 40x + 285x - 12

=  950x^2 + 245x - 12  Answer

This cannot be negative  so restriction on x  is  950x^2 + 245x > 12
That is x > 0.0421
5 0
3 years ago
Read 2 more answers
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

On comparing both sides, we get

\dfrac{4+a}{2}=\dfrac{-1}{2}

4+a=-1

a=-1-4

a=-5

And,

\dfrac{5+b}{2}=\dfrac{3}{2}

5+b=3

b=3-5

b=-2

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0
2 years ago
What should be added to 7 4/15 to get 8 2/5​
STALIN [3.7K]
Answer:
1 2/15
Explanation:
8 2/5 - 7 4/15 = ?
First convert the mixed numbers into improper fractions:
42/5 - 109/15 = ?

7 0
2 years ago
Highschool level trigonometry!!! Need help knowing step by step how to find answer!
Goshia [24]

Answer:

\theta \approx 82.34^\circ

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}

The adjacent side is 2 and the hypotenuse is 15. By substitution:

\displaystyle \cos(\theta)=\frac{2}{15}

Now, we will take the inverse cosine of both sides. So:

\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)

Use a calculator. Hence:

\theta \approx 82.34^\circ

The angle between the ground and the ladder is about 82.34°.

5 0
3 years ago
Please help! An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain
Gwar [14]

draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry. The vertex(h, k) will be located on the line half way between the focus and directrix. The distance from the focus to the vertex is called the focal length, call it a. The then equation is (x - h)^2 = 4a(y - k) the equation can be manipulated to y = 1/4a(x - h)^2 + k hope it helps

6 0
3 years ago
Read 2 more answers
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