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oksian1 [2.3K]
3 years ago
8

To the nearest degree, what i’d the measure of angle Z? A. 30 B. 32 C. 47 D. 49

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Using the cosine rule

cosZ = \frac{7^2+8^2-6^2}{2(7)(8)} = \frac{49+64-36}{112} = \frac{77}{112} , thus

Z = cos^{-1} (\frac{77}{112} ) ≈ 47° ( to the nearest degree ) → C

         

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Given A = {x | x < 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items. 1. A B Ø 2. A C {x | x ≥ 5} 3. B C {x
ivann1987 [24]

Answer:

The matching is shown below.

Step-by-step explanation:

The given sets are defined as

A = {x | x < 1}

It means all the values of x which are less than 1.

B = {x | x ≥ 5}

It means all the values of x which are greater than or equal to 5.

C = {x | x = 5}

It means all the value of x is 5.

Union of two sets contains all the elements of both sets.

Intersection of two sets contains only common elements of both sets.

The matching is shown below.

        Sets                              Correct value

1.     A ∪ B                         {x | x < 1 or x ≥ 5}

2. A ∪ C                         {x | x < 1 or x = 5}

3. B ∪ C                         {x | x ≥ 5}

4. A ∩ B                         Ø

5. B ∩ C                         {x | x = 5}

6 0
3 years ago
Please help me with this question. i would really appreciate it!
NemiM [27]

Answer:

it should be c or d

Step-by-step explanation:

5 0
3 years ago
NEED HELP ASAP PLEASE AND THHANK YOU!
ad-work [718]

he formula to find area of a triangle is (base × height) ÷ 2


The area of the first triangle = (6 × 2) ÷ 2 = 6

The area of the second triangle = (7 × 3) = 10.5


Total area of the logo is 6+10.5 = 16.5 cm²




4 0
4 years ago
16 of 3
Nataliya [291]

107 m

Step-by-step explanation:

Step 1:

Here the microscope magnifies by 10 times.

The initial length is 10.7 m

Step 2:

Let the object be magnified by 10 times . Then, 10 × 10.7 = 107

5 0
3 years ago
A school district has a student population of $6,734 students. If the maximum class size is 25 students. How many more teacher m
emmasim [6.3K]

Answer:

53 teachers

Step-by-step explanation:

Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:

6,734 / 25 = 269.36

Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).

If we take 269 teachers and 25 students per class, we get:

269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.

That means that the number of teachers needed is 270.

It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.

8 0
3 years ago
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