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muminat
2 years ago
5

Joni has a circular garden with a diameter of 14 1/2 feet if she uses 2 teaspoons of fertilizer for every 25 square feet of gard

en, how much fertilizer will Joni need for her entire garden?
Mathematics
1 answer:
alina1380 [7]2 years ago
6 0

Answer:

13.20 teaspoon of fertiliser needed for entire garden.

Step-by-step explanation:

Diameter of the garden = 14.50 ft

Radius of the garden = 7.25 ft

Area

[tex]A=\pi r^2[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]\pi=3.14[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]A=3.14 \times 7.25 \times 7.25[/text]

Hence

[tex]A=165.046[/text]

Area is 165.046 Sq Ft

For 25 sq ft of fields the fertiliser needed = 2 tea spoon

For 1 sq ft of fields the fertiliser needed =

[tex]\frac{2}{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed =

[tex]\frac{2 \times 165.046 }{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed = 13.20 tea spoon

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Is anybody able to help me get number ten? (Geometry)
Nikitich [7]

Answer:

Aha..our nemesis problem. :)

The area is 129.90 ft ^2.

Step-by-step explanation:

First, use a 30-60-90 triagle to find the apothem.

5\sqrt{3} =8.66\\8.66*5=43.30\\43.30/2=21.65\\

That is the area of 1 triangle. There are 6 of them in a hexagon, so multiply that number by 6:

21.65*6=129.90 ft ^2

Have a great day!

6 0
3 years ago
If x=-2 and y=6 is a solution of equation 3ax+2by=6, then find the value of b
lana66690 [7]

\text{Substitute the values of x and y to the equation}\\\\x=-2,\ y=6,\ 3ax+2by=6\\\\3a(-2)+2b(6)=6\\\\-6a+12b=6\qquad|\text{add 6a to both sides}\\\\12b=6a+6\qquad|\text{divide both sides by 12}\\\\b=\dfrac{6a}{12}+\dfrac{6}{12}\\\\\boxed{b=\dfrac{1}{2}a+\dfrac{1}{2}}

7 0
3 years ago
What exponent goes with the area of a triangle​
user100 [1]

Answer:

its just 1/2 times base times height

Step-by-step explanation:

7 0
3 years ago
triangle efg is similar to triangle tuv as shown below based on the measurements of the triangles what is the measurement of ang
Helen [10]

Incomplete Question the Complete Question with figure is below.

Answer:

The correct option is C . 48°

Therefore,

measure angle U is 48°.

Step-by-step explanation:

Given:

ΔEFG ~ ΔTUV

∠ F = 48°

To Find:

measure angle U = ?

Solution:

When the two Triangles are Similar then their Vertices are correspondence to each other. the correspondence of vertices are as

For, ΔEFG ~ ΔTUV  

E ↔ T

F ↔ U

G ↔ V

Also Corresponding angles of Similar Triangles are Congruent.

Therefore

∠F ≅ ∠U       Corresponding angles of Similar Triangles are Congruent.

But ∠ F = 48°     ......Given

∴ ∠U = 48°        ...........Transitive Property

Therefore,

measure angle U is 48°.

6 0
3 years ago
The following data represent the number of games played in each series of an annual tournament from 1929 to 2001. Complete parts
kherson [118]

Answer:

P(X = 4) = 0.2222

P(X = 5) = 0.25

P(X = 6) = 0.2639

P(X = 7) = 0.2639

Step-by-step explanation:

We have to find the relative frequency for each event.

The relative frequency of a event is the number of times the event event happened by the total number of events.

There are 16+18+19+19 = 72 events.

X can be 4,5,6 or 7.

We have that

P(X = 4) = \frac{16}{72} = 0.2222

P(X = 5) = \frac{18}{72} = 0.25

P(X = 6) = \frac{19}{72} = 0.2639

P(X = 7) = \frac{19}{72} = 0.2639

8 0
3 years ago
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