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cupoosta [38]
3 years ago
13

Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS, as shown in t

he figure below. Which could be the measures of angle POS and angle POQ?
(A)m POS = 30°mZPOQ = 50°
(B)mZPOS - 30°,mZPOQ-65°
(C)m POS -25°,mZPOO-65° (D)mZPOS=25mZPOQ -50°​

Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

(A) it's just a guess but its the only answer that fits with the question

Step-by-step explanation:

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What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4?
lord [1]
The answer would be:
c) 2^2
5 0
3 years ago
Chase a has locker that is 2 ft. Wide, 2 ft. Deep, and 5 ft. High. How many boxes of fundraising candy can he fit into his locke
Ronch [10]

Answer:

the aswer is 20

Step-by-step explanation:

2x2=4x5=20

i hope this helps anyone and everyone

4 0
2 years ago
A boat cost $16,500 and decreases in value by 13% per year how much will the boat be worth after eight years?
sergeinik [125]

Answer:

$5,415.49

Step-by-step explanation:

Cost of the boat = $16,500

Decrease in value per year = 13%

Worth of the boat in 8 years = ?

Remaining value = 100% - 13%

= 87%

Worth of the boat in 8 years = cost of the boat × remaining value^8

= $16,500 × 87%^8

= $16,500 × 87/100^8

= $16,500 × 0.87^8

= $16,500 × 0.3282116715437121

= $5,415.49

The worth of the boat after 8 years = $5,415.49

5 0
3 years ago
Find the directional derivative of the function at the given point in the direction of the vector v. h(r, s, t) = ln(3r + 6s + 9
vodka [1.7K]

Answer:

D_\overrightarrow{\rm v} h(r,s,t)=(\frac{2}{7}\overrightarrow{\rm i})*(\frac{1}{r+2s+3t})+(\frac{6}{7}\overrightarrow{\rm j})*(\frac{2}{r+2s+3t})+(\frac{3}{7}\overrightarrow{\rm k})*(\frac{3}{r+2s+3t})

Step-by-step explanation:

First,  let’s check to see if the direction vector is a unit vector:

||v||=\sqrt{(14)^{2} +(42)^{2} +(21)^{2}   } =\sqrt{2401} =49

It’s not a unit vector. therefore let's divide the vector by its magnitude in order to convert it into a unit vector:

\overrightarrow{\rm v}=(\frac{14}{49}\overrightarrow{\rm i})+(\frac{42}{49}\overrightarrow{\rm j})+(\frac{21}{49}\overrightarrow{\rm k})= (\frac{2}{7}\overrightarrow{\rm i})+(\frac{6}{7}\overrightarrow{\rm j})+(\frac{3}{7}\overrightarrow{\rm k})

Now, the directional derivative is given by:

D_\overrightarrow{\rm v} h(r,s,t)=\frac{\partial h(r,s,t)}{\partial r}\overrightarrow{\rm i} + \frac{\partial h(r,s,t)}{\partial s}\overrightarrow{\rm j} + \frac{\partial h(r,s,t)}{\partial t}\overrightarrow{\rm k}

So let's calculate the partial derivates:

\frac{\partial }{\partial r} ln(3r+6s+9t)=\frac{3}{3r+6s+9t}=\frac{1}{r+2s+3t}

\frac{\partial }{\partial s} ln(3r+6s+9t)=\frac{6}{3r+6s+9t}=\frac{2}{r+2s+3t}

\frac{\partial }{\partial t} ln(3r+6s+9t)=\frac{9}{3r+6s+9t}=\frac{3}{r+2s+3t}

Therefore:

D_\overrightarrow{\rm v} h(r,s,t)=(\frac{2}{7}\overrightarrow{\rm i})*(\frac{1}{r+2s+3t})+(\frac{6}{7}\overrightarrow{\rm j})*(\frac{2}{r+2s+3t})+(\frac{3}{7}\overrightarrow{\rm k})*(\frac{3}{r+2s+3t})

3 0
4 years ago
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