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Vsevolod [243]
3 years ago
15

Avery has 125 animal stickers. She gave 5 animal stickers to each of her 10 friends. HoW many animal stickers she have left? Wha

t number sentence did u use to solve
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
3 0

Answer:

75

Step-by-step explanation:

125-(5*10)        

125-(50)

75

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Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

Answer: \text{Length of AG=}\frac{2\sqrt{63}}{3}

Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

We are given length of CG=4  

Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

\therefore CM=\frac{1}{2}AB\Rightarrow AB=12

In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3} ft  

CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

Length of AG=2/3 AN

\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


5 0
3 years ago
The fare for an Uber is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the school center was $11.50.
Vinvika [58]

Answer:

13 miles

Step-by-step explanation:

The fare for the Uber

Cost= 5+ .5 m  

where m is the number of miles

We spent 11.50

11.50 = 5 + .5 m

Subtract 5 from each side

11.5 -5 = 5+.5m -5

6.50 = .5 m

Divide by .5 on each side

6.5/.5 = .5m/.5

13 = m

We went 13 miles

6 0
3 years ago
For a company picnic, Nick ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 36 co
Mekhanik [1.2K]

Answer: 9

Step-by-step explanation:

36 ÷ 4 = 9

4 0
2 years ago
Global mean temperature was changing the most rapidly in 2005. How quickly was the temperature changing in 2005
AysviL [449]

The temperature was changing at a rate of 2.925 degrees Celsius in 2005

<h3>How to determine the rate in 2005</h3>

From the graph (see attachment), we have the following ordered pair

(x,y) = (5,14.625)

The above means that, the temperature in 2005 is 14.625 degrees Celsius

So, the rate in 2005 is:

Rate = \frac{14.625}{5}

Rate = 2.925

Hence, the temperature was changing at a rate of 2.925 degrees Celsius in 2005

Read more about average rates at:

brainly.com/question/8728504

4 0
2 years ago
Jill cuts a piece of cardboard in the shape of a trapezoid.The area of the is 43.5sp cm. If bases are cm and 8.5cm long,what is
boyakko [2]

Answer:

7.25cm

Step-by-step explanation:

Let the complete question be;

<em>Jill cuts a piece of cardboard in the shape of a trapezoid. The area of the is 43.5sp cm. If bases are 3.5cm and 8.5cm long, what is the height.</em>

<em />

Area of a trapezoid = 1/2(a+b)*h

a and b are the parallel sides (bases)

h is the height

Given

a = 3.5cm

b = 8.5cm

A = 43.5 sq.cm

Required

Height h

Substitute the given values into the expression

Area of a trapezoid = 1/2(a+b)*h

43.5 = 1/2(3.5+8.5)*h

43.5 = 1/2 * 12h

43.5 = 6h

h = 43.5/6

h = 7.25cm

Hence the height is 7.25cm

8 0
3 years ago
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