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leva [86]
3 years ago
13

Bob works at a construction company. He has an equally likely chance to be assigned to work diffrent crews every day. He can be

assigned to work on crews building apartments, condominiums, or houses. If he works 18 days a month, about how many times should he expect to be assigned to the house crew?
Mathematics
1 answer:
Sergio [31]3 years ago
7 0
The answer is 6 times
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How do I find each measure? Please I need answers ASAP it's due at 1:50
Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

\begin{gathered} 136+z+z=180_{}\text{    (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}

So measure of angle ABC is 22 degrees.

3 0
1 year ago
3. A fast food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions,
Hunter-Best [27]

Answer:

35

Step-by-step explanation:

Given that a fast food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions,  pickles, lettuce, and tomato.

A customer can choose from these 7 options 4 different options in 7C4 ways

This is because order does not matter here

So we use combinations here

Total no of ways a customer choose four different toppings from these

options=7C4

=35

Answer is 35

7 0
3 years ago
If you put 3 cookies is the answer? of 1/2
lapo4ka [179]
What ? Don't make since bro
5 0
3 years ago
Y varies directly with the square x. If y= 27 when x = 3, find y when x = -4
Lana71 [14]

Answer:

y~x²

y/x²= k

27/3²=3

therefore k= 3

y/ -4 = k

y / -4= 3

3y = -4

y = -4

6 0
3 years ago
ASK YOUR TEACHER Two streets meet at an 84° angle. At the corner, a park is being built in the shape of a triangle. Find the are
Alla [95]

Answer:

22,203 ft^2

Step-by-step explanation:

The area of a triangle with angle ∅ and two sides a and b is;

Area A = 1/2 × absin∅ ......1

The park is in the shape of a triangle, with two sides and an angle given;

Given;

a = 190 ft

b = 235 ft

∅ = 84°

Substituting the values into equation 1;

Area of the park;

A = 1/2 × 190 × 235 × sin84°

A = 22,202.70131409 ft^2

A = 22,203 ft^2 (to the nearest whole number)

Area of the park is 22,203 ft^2

3 0
3 years ago
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