A tomato plant grew an average of 0.06 m per day. how many days did it take for the plant to grow a total of 0.96 m?

A wire 31ft long is stretched from the top of a flagpole to the ground at a point of a flagpole to the ground at a point 15ft fr

Nat2105 [25]

Answer:the height of the flagpole is 27.12 ft

Step-by-step explanation:

The wire makes an angle with the ground and forms a right angle triangle with the flag pole. The length of the wire represents the hypotenuse of the right angle triangle. The height of the flag pole and the ground distance from the wire represents the adjacent and opposite sides respectively.

To determine the height of the flagpole, x we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

31² = x² + 15²

x² = 961 - 225 = 736

x = √736. = 27.12 ft

8 0

3 years ago

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t

Ksju [112]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The equation representing the given statement is ~

$50x + 330 \geqslant 820$

The least number of lawns that he can cut and buy the computer is 10 lawns ~

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

50x

total savings is equal to ~

330 + 50x

hence,

$50x + 330 \geqslant 820$

by solving for " x (number of lawns cut) " we get ~

$50x \geqslant 820 - 330$

$50x \geqslant 490$

$x \geqslant 490 \div 50$

$x \geqslant 9.8$

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

$10$

6 0

2 years ago

the difference between two numbers is 9. three times the smaller is equal to twice the larger. what are the numbers?

Sergio039 [100]

Answer: 27 and 18

Step-by-step explanation:

x - y = 9 → x = 9 + y

3y = 2x

3y = 2(9 + y)

3y = 18 + 2y

3y - 2y = 18

y = 18

2x = 3(18)

2x = 54

x = 27

x - y = 9

27 - 18 = 9

9 = 9

4 0

3 years ago

For a Chinese New Year celebration, James and Zhou are making a dragon costume similar to the one shown above.

Lilit [14]

Answer:

C. 24 meters

Step-by-step explanation:

Given:

Total length of fabric required for the costume = 56.6 m

Length of fabric Zhou already has = 15 m

Length of fabric James just purchased = 17.6 m

To find how much more length of fabric is required to make the complete costume.

Solution:

Let the length of fabric in meters still required be = $x$

The total length can be given as :

⇒ $(15+17.6+x)\ m$

⇒ $(32.6+x)\ m$

The total fabric required = 56.6 m

So, the equation to find $x$ will be:

$32.6+x=56.6$

Subtracting both sides by 32.6

$32.6+x-32.6=56.6-32.6$

∴ $x=24$

Thus, 24 meters of fabric is still required to make the costume.

5 0

3 years ago

In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.

Dafna11 [192]

Answer: D

Step-by-step explanation:

The given functions are

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

Option D) is the right answer

5 0

3 years ago