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erastovalidia [21]
3 years ago
10

What are the values of a and b?

Mathematics
2 answers:
Gemiola [76]3 years ago
6 0

I hope this helps you

olasank [31]3 years ago
5 0

Step-by-step explanation:

By using cosine rules:

6/sin45° = b/sin90°

b = 6× sin45°/sin90°

b = 9.124(3d.p)

Also,

using Pythagoras theorm of right-triangle

b² = 6² + a²

9.124² = 6² + a²

83.247376 = 36 + a²

83.247376-36 = a²

47.247376 = a²

√47.247376 = a

6.874 = a

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The temperature in Minneapolis at 9 a.m. was −8°F. By noon, the temperature had risen by 8°F.
Alona [7]

Answer: 0

Add the number 8 to -8, because 8 is how much the temperature rose.

-8 + 8 = 0.

The temperature in Minneapolis is now 0 Fahrenheit.

Hope this helps you!

6 0
3 years ago
How do you solve this triangle by using the law of sine where
mars1129 [50]
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915

Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412 </span> / 5.2915
</span> <span><span><span>sin(B) = 0.6546571451 </span> </span> </span> 
Angle B = 40.894 Degrees

sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees

angle C = 60 Degrees


7 0
4 years ago
You run around the perimeter of a baseball field at a rate of at least 10 feet per second. Which of the following are possible a
vovikov84 [41]
1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft
lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=
=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,


2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second
789,82 ft-----------------    x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s


answer: 79 seconds.
3 0
3 years ago
Read 2 more answers
What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to
andrew11 [14]

..... Here

This is the answer

3 0
3 years ago
How do you solve this... 8=x-5/7
Anarel [89]
Add 5/7 on both sides.

It'll cancel out the negative 5/7, and it will make the x variable only equal to one number (Well, a mixed number.)
5 0
3 years ago
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