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2 years ago

A man spends 8/5 of his salary rent. If his left with & 2940. Find his salary:

Mathematics

1 answer:

Ainat [17]2 years ago

4 0

Answer:

A man spends 8/5 of his salary rent. If his left with & 2940. Find his salary:

Step-by-step explanation:

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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°

Explanation

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 Cosine rule, 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

Find the product 4 2/3 x 3 3/4

storchak [24]

Answer:

45.6

Step-by-step explanation:

trust me bro(don't)

7 0

2 years ago

Read 2 more answers

Order the numbers from least to greatest. 8, 0, -8, -3, 5

Kitty [74]

Answer:

-8,-3,0,5,8

Step-by-step explanation:

Number the the negatives from greatest to least first and continue to number the positives from least to greatest.

7 0

3 years ago

A store sells a 33-pound bag of oranges for \$ 3.60$3.60 and a 55-pound bag of oranges for \$ 5.25$5.25. What is the difference

katrin [286]

Answer:

0.01364

Step-by-step explanation:

It is given that,

A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.

Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound

Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound

Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :

D = 0.10909 - 0.09545

D = 0.01364

Therefore, this is the required solution.

3 0

2 years ago

Compare values of 5 in 552,299

Artyom0805 [142]

Compare Values of 5's:

552, 299 ======> 5, 52,, 299

5 ===> Millions Place

5 ===> Hundred-Thousands

2 ===> Ten-Thousands Place

2 =====> Thousands Place

9 ===> Hundreds Place

9 ===> Tens Place

Hope that helps!!! : )

5 0

3 years ago