The distance of Jamal's house to the park is 12 miles.
<h3>How to find the number in miles from Jamal's house to the park?</h3>
The distance from Loretta's house to a park is 43 miles.
Her friend Jamal lives along this same highway between Loretta's house and the park.
The distance from Loretta's house to Jamal's house is 31 miles.
The situations forms a straight line segment.
Therefore,
Loretta's house distance to the park = 43 miles
Lorretta's house distance to Jamal's house = 31 miles
Therefore,
distance of Jamal's' house to the park = 43 - 31
distance of Jamal's' house to the park = 12 miles
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260 can ride the ferris wheel in 2 hours.
130 people is the rate per hour.
Answer:
AB =24
Step-by-step explanation:
So, since all the sides are equal, you can just take two of the sides and set em equal to each other to find x and then, solve for AB
4x+8 =6x
8= 6x-4x
8=2x
8/2 =x
x= 4
Now, find AB, which is 4x+8
4(4) + 8
16+8 = 24
Hope this helps!
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Answer:
6 3/7
Step-by-step explanation:
Remember, the mean is the average of the number
Meaning that you have to add up all the numbers then divide them by the amount of numbers there are.
3, 5, 6, 7, 9, 6, 8
(3 + 5 + 6 + 7 + 9 + 6 + 8) / 7
44 / 7
6 3/7
<span>
6 Find an exact value. sin 75°
</span>sin(A+B)=sin(A)cos(B)+cos(A)sin<span>(B)
</span>sin(45)=cos(45)=(2^0.5)/2 sin(30)=0.5 cos(30)=(3^0.5)/2
sin(45+30)=sin(45)cos(30)+cos(45)sin(30)=(6^0.5+2^0.5)/4
the answer is the letter d) quantity square root of six plus square root of two divided by four.
<span>
7. Find an exact value. sine of negative eleven pi divided by twelve.
</span>sin(-11pi/12) = -sin(11pi/12) = -sin(pi - pi/12) = -sin(pi/12) = -sin( (pi/6) / 2)
= - sqrt( (1-cos(pi/6) ) / 2) = -sqrt( (1-√3/2) / 2 ) = -(√3-1) / 2√2=(√2-√6)/4
the answer is the letter c) quantity square root of two minus square root of six divided by four.
<span>
8. Write the expression as the sine, cosine, or tangent of an angle. sin 9x cos x - cos 9x sin x
</span>
sin(A−B)=sinAcosB−cosAsinB
sin(9x−x)= sin9xcosx−cos9xsinx= sin(8x)
the answer is the letter c) sin 8x
<span>
9. Write the expression as the sine, cosine, or tangent of an angle. cos 112° cos 45° + sin 112° sin 45°</span>
cos(A−B)=cosAcosB<span>+sinA</span>sinB
cos(112−45)=cos112cos45<span>+sin112</span>sin45=cos(67)
the answer is the letter d) cos 67°
10. Rewrite with only sin x and cos x.
sin 2x - cos 2x
sin2x =
2sinxcosx<span>
cos2x = (cosx)^2 - (sinx)^2 = 2(cosx)^2 -1 = 1- 2(sinx)^2</span>
sin2x- cos2x=2sinxcosx-(1- 2(sinx)^2=2sinxcosx-1+2(sinx)^2
sin2x- cos2x=2sinxcosx-1+2(sinx)^2
<span>
the answer is the letter <span>
b) 2 sin x cos2x - 1
+ 2 sin2x</span></span>
