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Irina-Kira [14]
3 years ago
15

Help pls 4=36÷____________

Mathematics
2 answers:
vova2212 [387]3 years ago
7 0

Answer:

9

Step-by-step explanation:

AlladinOne [14]3 years ago
4 0

Answer:

9

Step-by-step explanation:

36 ÷ 4 = 9

36 ÷ 9 = 4

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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
Read 2 more answers
Write 23.061 in words.
Tasya [4]

23.061 written in words is:

twenty-three and sixty-one thousandths.

Note the decimal point.

hope this helps

4 0
3 years ago
Question 3
Elan Coil [88]

Answer:

Domain:  -3\leq x\leq 1

Range:  -4\leq y\leq 0

Step-by-step explanation:

If you find the coordinate of the graph you can get the domain and range

(-3,0), (-2,-4), (-1,-2), (0,0), (1, -4)

Now that we have that find the domain and range

Domain -  x coordinate

Range - y coordinate

Domain: (-3, -2, -1, 0, 1)

Range: (-4, -2, 0)

Since the domain ranges from -3 to 1 you can use the inequality -3\leq x\leq 1 to represent the domain and -4\leq y\leq 0 for the range

7 0
3 years ago
19. Luggage on a certain airline is limited to 2 pieces per person.
Mama L [17]

Answer: The second piece can weigh 256 pounds at most.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The sum of the weight of each piece of Luggage must be less or equal to 581 pounds:

x + 325 ≤581

Where x is the second piece's weight.

Solving for x:

x ≤581 -325

x ≤ 256

The second piece can weigh 256 pounds at most.

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
Evaluate the expression when b=-3 and x = 2 .<br> 6x-b
Rudik [331]

Answer:

15

Step-by-step explanation:

You have to insert the values for b and x into the formula.

6(2) - (-3)

Then you simplify.

12+3

15

6 0
3 years ago
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