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levacccp [35]
3 years ago
7

A=1/2h(B+b); A=42 B=6 b=1

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

7/2

Step-by-step explanation:

you add the 6+1 it equal to 7 and you now have 1/2•7

now you multiply 1•7 now you have 7/2

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Using arc length formula find s when r=24 and θ=π/2<br><br> 48π<br> 24π<br> 12π
bulgar [2K]

Answer:

12π

Step-by-step explanation:

The formula for arc length is given as:

s = \frac{\theta}{360\degree} \times 2\pi r

Plug r = 24 and θ=π/2 in the above formula, we fi d:

s = \frac{\frac{\pi}{2}}{360\degree} \times 2\pi \times 24\\\\s = \frac{\frac{\pi}{2}}{2 \pi} \times 48\pi\\\\s = \frac{\pi}{2\times 2 \pi} \times 48\pi \\\\s = \frac{\pi}{4\pi} \times 48\pi \\\\\huge \purple {\boxed{s = 12\pi}} \\

6 0
3 years ago
Read 2 more answers
Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a
Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force (\vec F), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

\vec F =  \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right) (1)

Vector (ordered pair - polar form)

\vec F = \left(\|\vec F\|, \theta\right)

Sum of vectorial components (linear combination)

\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j} (2)

Where:

\|\vec F\| - Norm of the vector force, in newtons.

\theta - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

\hat{i}, \hat{j} - Orthogonal axes, no unit.

If we know that \|\vec F\| = 30\,lbf and \theta = 25^{\circ}, then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

8 0
2 years ago
What is x in 5x +(3-1)=12
olga2289 [7]

Answer:

x=2

Step-by-step explanation:

5x +(3-1) =12

5x +2 =12

5x =12-2

5x =10

x =10÷5

x =2

5 0
2 years ago
7. Two people enter a whispering gallery t want to know where they should stand so they can hear other people whisper. The galle
Nezavi [6.7K]

Answer: Just get closer

Step-by-step explanation:

Walk next to someone to hear them left foot right foot towards them.

6 0
3 years ago
What is the quotient for -20/-2?
Allisa [31]
The quotient is 10 :)
5 0
3 years ago
Read 2 more answers
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