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Daniel [21]
3 years ago
13

A packet contains 24 pens. Henry and Alice share them in the ratio 3:5. How many does Alice receive

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0
Alice receives 9 out of the 24 pens.
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In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot.
BabaBlast [244]

Answer: length of DE is about 3.3 ft

Step-by-step explanation:  A calculator is necessary!

DE is the unknown hypotenuse of the triangle

get the sine of 23° = 0.3907311285

Use the equation for sine

<em>sin = o/h</em> .

To find h,  Substitute values for sin and o.  O is EC, Opposite the 23° angle D

<em>0.3907311285 = 1.3/h</em> multiply both sides by h

h(0.3907311285) = 1.3 divide both sides by 0.3907311285

h = 1.3/0.3907311285

3.327096065 = h, the length of the hypotenuse, DE.

7 0
2 years ago
Explain how to use the combine place values strategy to find 223-119
Vikentia [17]
So, the subtraction looks like this:

   223
  -119
_______

The reason why combining place values here is necessary is that 3 is less than 9 (so I can't just substract in the one's place without going to negative numbers)

so we combine the ones and tens places and substract the whole: 23-19 is four!
   223
  -119
_______
     04

and then we continue
   223
  -119
_______
    204

and that's the result!

3 0
2 years ago
Read 2 more answers
What is the perimeter of the polygon?
mr_godi [17]
Welp. I sure hope you like the Pythagorean theorem...
Top line:
One point is (-2,-2) while the other is (3,-3)
Thus the distance in between is sqrt((3-(-2))^2+(-3-(-2))^2)=sqrt(5^2+(-1)^2)=sqrt(26)
Most right line:
One point is (4,-6) while the other is (3,-3)
Thus the distance in between is sqrt((3-4)^2+(-3-(-6))^2)=sqrt((-1)^2+3^2)=sqrt(10)
Most bottom line:
One point is (1,-6) while the other is (4,-6)
Thus the distance in between is sqrt(4-1)^2+(-6-(-6))^2)=sqrt(3^2+0^2)=sqrt(9)=3
Most bottom left line:
One point is (1,-6) while the other is (-2,-4)
Thus the distance in between is sqrt((1-(-2))^2+(-6-(-4))^2)=sqrt(3^2+(-2)^2)=sqrt(13)
Lastly the most left line:
One point is (-2,-2) while the other is (-2,-4)
Thus the distance in between is sqrt((-2-(-2))^2+(-2-(-4))^2)=sqrt(0^2+(2)^2)=sqrt(4)=2
Thus to find the perimeter, we add up all the sides to get
sqrt(26)+sqrt(10)+3+sqrt(13)+2=16.8668 or B




6 0
3 years ago
The graph shows the number of points, y, a player earns in a balloon game
Lilit [14]
Y = 25x
Slope is rise over run or (y2-y1)/(x2-x1)
(25-0)/(1-0)=25
No b value in y=mx+b because the origin is at 0.
8 0
2 years ago
The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A, what
n200080 [17]

Answer:

Step-by-step explanation:

6 0
2 years ago
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