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Rashid [163]
3 years ago
9

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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Calculus application
Ugo [173]

Answer:

49m/s

59.07 m/s

Step-by-step explanation:

Given that :

Distance (s) = 178 m

Acceleration due to gravity (a) = g(downward) = 9.8m/s²

Velocity (V) after 5 seconds ;

The initial velocity (u) = 0

Using the relation :

v = u + at

Where ; t = Time = 5 seconds ; a = 9.8m/s²

v = 0 + 9.8(5)

v = 0 + 49

V = 49 m/s

Hence, velocity after 5 seconds = 49m/s

b) How fast is the ball traveling when it hits the ground?

V² = u² + 2as

Where s = height = 178m

V² = 0 + 2(9.8)(178)

V² = 0 + 3488.8

V² = 3488.8

V = √3488.8

V = 59.07 m/s

8 0
3 years ago
Find the indicated side of the triangle.<br> Please Help!!!
Angelina_Jolie [31]

Answer:

Step-by-step explanation:

So you can use the special formula for 30-60-90 triangle or you can use the whole Soh Cah Toa thing.

I honestly prefer trig. so a is the opposite side of the 30 deg and 12 is the hyp. This should scream sine to you since sine  goes with opposite/hypotenuse.

sin(30 deg)=a/12

Multiply both sides by 12

giving a=12 sin(30)

Type into calculator unless you know your unit circle well.

a=6

6 0
3 years ago
Read 2 more answers
Malcolm bought 6 bowls for $13.20. whats the unit rate<br><br><br> need the work
Whitepunk [10]
Hello!

You have to find the cost of one bowl

To find this you take the cost of all the bowls and divide it by the amount of bowls

13.20 / 6 = 2.2

The answer is $2.20

Hope this helps!
8 0
3 years ago
Read 2 more answers
How many solutions does 4x+5=10
11Alexandr11 [23.1K]
Hello there!

Before we answer the question, we must solve the equation first.

4x + 5 = 10

4x = 10 - 5

4x = 5

x = 5/4

Therefore,

The equation has one solution!
5 0
3 years ago
Find the points of intersection of the following function graphs: y=10x−8 and y=−3x+5
Aleks04 [339]

Answer:

(x,y) = (1,2)

Step-by-step explanation:

I used a graphing calculator and put both equations in to find the intersection.

3 0
3 years ago
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