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3 years ago

Find the approximate value of b in the triangle shown.131285

Mathematics

2 answers:

Paul [167]3 years ago

8 0

Answer:

The side b is 5 units

Step-by-step explanation:

Given the two sides of triangle and one angle of triangle we have to find the remaining side of triangle.

a=12 units

c=10 units

∠B=24°

we have to find the side b of triangle ABC

By cosine law,

$\cos B=\frac{a^2+c^2-b^2}{2ac}$

$\cos 24^{\circ}=\frac{12^2+10^2-b^2}{2(12)(10)}=\frac{144+100-b^2}{240}$

$b^2=244-240\cos 24^{\circ}=24.7490901658$

$b=4.97\sim 5units$

givi [52]3 years ago

4 0

Answer:

The answer is D. 5

Step-by-step explanation:

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katrin [286]

Answer:

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3 years ago

To raise funds for uniforms and travel expenses, the soccer team is holding a car wash in a part of town with a lot of car and t

Harrizon [31]

Answer:

The need to wash 16 cars.

Step-by-step explanation:

If they charge $20 per truck and washed 15, it would be $300. So you subtract $460 from $300. That gives you $160. Then, you divide $160 from $10. That gives you 16.

4 0

3 years ago

1/4 X Plus x equals negative 3 plus 1/2 x

ElenaW [278]

1/4x+4/4x = -6/2x+1/2x
5/4x = -5/2x
x=0

5 0

3 years ago

Need help will mark Brainliest

Svetach [21]

Answer:

250 ft.

Step-by-step explanation:

It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:

$\frac{375}{300} = \frac{x}{200}$

Now that we have this equation, we can use the butterfly method to solve for x. We cross multiply:

$375*200=300x\\$

Now, all we have to do is isolate the variable to find x:

$75000=300x\\x=250$

Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.

I hope this helps! Please let me know if you have any further questions :)

5 0

2 years ago

Suzy has a collection of quarters and dimes. Together she has 34 coins worth $6.40. How many quarters and how many dimes does Su

vlada-n [284]

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

3 0

3 years ago

Find the approximate value of b in the triangle shown.131285​

Find the approximate value of b in the triangle shown.131285