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3 years ago

Using the given statements, answer the question that follows.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

7 0

True hope it helps ................................................

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A catering service offers 12 appetizers, 8 main courses, and 4 desserts. A customer is to select 9 appetizers, 3 main courses, a

valentina_108 [34]

Answer:

73920

Step-by-step explanation:

Number of ways to choose 9 appetizers from 12: ₁₂C₉

Number of ways to choose 3 main courses from 8: ₈C₃

Number of ways to choose 2 desserts from 4: ₄C₂

The total number of ways is:

₁₂C₉ × ₈C₃ × ₄C₂

= 220 × 56 × 6

= 73920

5 0

3 years ago

14. A cable company charges a $30 base installation fee plus $10 for every hour it takes to install all the equipment in your ho

mylen [45]

Answer:a i think it is I’m positive

6 0

4 years ago

Read 2 more answers

ative section 3. a) The angle of elevation of the top of a tree observed from a point 60 m away from its foot is 45. Find the he

Zigmanuir [339]

Answer:

The height of the tree is is 60m

Step-by-step explanation:

Let's answer a, as it is the only complete question.

We know that the angle of elevation of the top of a tree observed from a point 60m away, is 45°.

We can model this with a triangle rectangle, a sketch of it can be seen below (assuming that you are looking it from the ground).

You can see that the adjacent cathetus to the 45° angle is equal to 60m

And the opposite cathetus is the measure we want to find.

Now you can remember the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

So to find the height of the tree we need to solve:

tan(45°) = H/60m

This is just:

tan(45°)*60m = H =60m

The height of the tree is is 60m

3 0

3 years ago

What is the point of intersection of the lines represented by these equations

Marizza181 [45]

<h2>Points of Intersection</h2>

To find the point of intersection of two lines, we can use substitution to find the <em>x</em> and <em>y</em> coordinates.

<h2>Solving the Question</h2>

We're given:

$y = -2x + 2$
$y = x - 4$

Use substitution to find <em>x</em>:

$-2x + 2=x-4\\-2x=x-6\\-3x=-6\\x=2$

Use substitution to find <em>y</em>:

$y=x-4\\y=2-4\\y=-2$

<h2>Answer</h2>

The point of intersection is (2,-2).

3 0

2 years ago

HELPPP!

Anika [276]

Answer:

c. x ≈ 1.71, y ≈ 6.29, z ≈ 60.71

Step-by-step explanation:

You are at a bit of a disadvantage with this problem, because both the hint and the answer choices are incorrect.

The matrix equation is ...

$AX=B\\\\\left[\begin{array}{ccc}-1&1&0\\4&3&0\\1&-7&1\end{array}\right]\left[\begin{array}{c}x&y&z\end{array}\right]=\left[\begin{array}{c}8&12&15\end{array}\right]$

Contrary to what the hint is telling you, the multiplication by the inverse must be on the left:

$A^{-1}AX=A^{-1}B\\\\X=A^{-1}B$

Using appropriate tools to compute the inverse, this becomes ...

$\left[\begin{array}{c}x&y&z\end{array}\right]=\dfrac{1}{7}\left[\begin{array}{ccc}-3&1&0\\4&1&0\\31&6&7\end{array}\right]\left[\begin{array}{c}8&12&15\end{array}\right]\\\\\left[\begin{array}{c}x&y&z\end{array}\right]=\dfrac{1}{7}\left[\begin{array}{c}-12&44&425\end{array}\right]\approx\left[\begin{array}{c}-1.714&6.286&60.714\end{array}\right]$

The closest match is choice C.

6 0

4 years ago