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NeX [460]
2 years ago
13

Find the missing side. round to the nearest tenth.

Mathematics
1 answer:
horrorfan [7]2 years ago
5 0

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

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A pound of beans costs $4.70. Mrs. Patel buys 6.5 pounds of beans. How much dose she pay for the beans ?
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3 0
3 years ago
Read 2 more answers
In AOPQ, m2O = (2x – 5)º, m P = (3x – 8)°, and mZQ = (10x – 17).<br> What is the value of x?
Misha Larkins [42]

9514 1404 393

Answer:

  x = 14

Step-by-step explanation:

The sum of angles in a triangle is 180°:

  ∠O +∠P +∠Q = 180°

  (2x -5)° +(3x -8)° +(10x -17)° = 180°

  15x -30 = 180 . . . . . divide by °, collect terms

  x -2 = 12 . . . . . . . . . divide by 15

  x = 14 . . . . . . . . . . . .add 2

3 0
3 years ago
Y is between points p and b. pt= 15 and tb = 10. what is pb
Kruka [31]
PT = 15, and TB = 10 

Take the 15 from PT, and add the 10 from TB. Which equals 25. 

PB = 25 

So, 25 is your answer. 

Hope this helps! ☺
4 0
3 years ago
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
anyanavicka [17]

Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60

Solve for <em>q</em> :

3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)

3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>

0.4<em>q</em> = 1.6

<em>q</em> = 4

4 0
2 years ago
HELP PLEASEE!!!!
ss7ja [257]

Answer:

See below ~

Step-by-step explanation:

\textsf {Each of the steps has been reasoned below :}

\implies \textsf {3x - 2 = 4 (Given)}

\implies \textsf {3x = 6 (Addition Property of Equality)}

\implies \textsf {x  = 2 (Division Property of Equality)}

\textsf {In the second step, the property has been applied}\\\textsf {by adding 2 to each side of the equation.}

\textsf {In the third step, the property has been applied by dividing 3 on each side.}

3 0
2 years ago
Read 2 more answers
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