All categories

1 year ago

Paulo is flying a kite as shownin the right. Find the length of the kite string.

Mathematics

1 answer:

mixas84 [53]1 year ago

8 0

The length of the kite string is 50 ft

<h3>How to determine the length of the kite string?</h3>

The string and the kite form a right triangle.

So, the length can be calculated using Pythagoras theorem as follows:

c^2 = 30^2 + 40^2

This gives

c^2 = 2500

Take the square roots

c = 50

Hence, the length of the kite string is 50 ft

You might be interested in

The total cost of attending a state university is $19,700 for the first year. • A student's grandparents will pay half of this c

Temka [501]

Answer:

The student will have to save $404.2 minimum monthly

Step-by-step explanation:

Given that the total cost for the first year= $19,700

The grandparents paid half the amount = 1/2(19700)= $9850

The remaining balance to be paid is

19,700 - 9850=$9850

If an athlete paid $5000

The the remaining balance to be paid = 9850-5000=$4850

For the student to clear this amount in 12 months he must save

monthly 4850/12= $404.166

Hence the minimum amount to be saved per month is $404.2

4 0

3 years ago

Read 2 more answers

Find the mean of the number set.<br>93, 81, 94, 78, 89, 92, 94, 99<br>Your answer divided by 7

dimaraw [331]

Answer:

mean= 90

Step-by-step explanation:

The mean is the terms added together, then divided by the number of terms (in this case, 8):

$93+81+94+78+89+92+94+99=720\\\\\frac{720}{8} =90$

Done.

7 0

3 years ago

Read 2 more answers

Find the leg of each isosceles right triangle when the hypotenuse is 5 square root 6

kozerog [31]

Hypotenuse = 5√6

Let the length of each leg be x, since it is Isosceles .

x² + x² = (5√6)²

2x² = (5 * 5 * √6 * √6)

2x² = 150

x² = 150/2

x² = 75

x = √75

x = √(25 * 3)

x = √25 * √3

x = 5√3

5 0

3 years ago

A person owns two shops. this year the telephone bill for the first job was $640 less than four times a telephone bill for the s

KIM [24]

Answer: F=bill for first shop=4S-$630; S=bill for second shop

F+S=$3265 Substitute for F

4S-$630+S=$3265

5S=$3895

S=$779 ANSWER 1: The bill for the second shop was $779

F=4S-$630

F=4($779)-$630

F=$3116-$630=$2486 ANSWER 2: The bill for the first shop was $2486.

CHECK:

F+S=$3265

$2486+$779=$3265

$3265=$3265

explanation:

5 0

3 years ago

Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours

Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10 \right )}{\mathrm{d} t} = 0$

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0$

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

$Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}$

$\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}$

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0

3 years ago