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ValentinkaMS [17]
2 years ago
14

Write an algebra expression to represent each scenario: “the sum of 6 and y”

Mathematics
1 answer:
Lina20 [59]2 years ago
5 0

Answer:

6+y

Step-by-step explanation:

simple:)

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Can you answer my question
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Yup........ I will try.......

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In a class of 100 students, there are 80 girls and 20 boys. twenty (20) are a students, and 12 of the a students are girls. if a
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Because 20 students are boy and they pick more boys because there are 20 boys students
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3 years ago
9 weeks and 5 days<br> - 1 week and 6 days<br> ------------------------------
Butoxors [25]

Answer:

55 days or about 7 weeks

Step-by-step explanation:

9(7)= 63              because there are 7 days in one week

63+5=<u><em>68</em></u>

1(7)=7

7+6=<u><em>13</em></u>

68-13=55

6 0
3 years ago
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In right △ABC, the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find the sides of △ABC if AD = 8 cm
tangare [24]

Answer:

AC=8\sqrt{3}\ cm\\ \\AB=16\sqrt{3}\ cm\\ \\BC=24\ cm

Step-by-step explanation:

Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.

By the Pythagorean theorem,

AD^2=AH^2+DH^2\\ \\8^2=AH^2+4^2\\ \\AH^2=64-16=48\\ \\AH=\sqrt{48}=4\sqrt{3}\ cm

AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:

\dfrac{CA}{CD}=\dfrac{AH}{HD}\\ \\\dfrac{CA}{CD}=\dfrac{4\sqrt{3}}{4}=\sqrt{3}\Rightarrow CA=\sqrt{3}CD

Consider right triangle CAH.By the Pythagorean theorem,

CA^2=CH^2+AH^2\\ \\(\sqrt{3}CD)^2=(CD+4)^2+(4\sqrt{3})^2\\ \\3CD^2=CD^2+8CD+16+48\\ \\2CD^2-8CD-64=0\\ \\CD^2-4CD-32=0\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144\\ \\CD_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm 12}{2}=-4,\ 8

The length cannot be negative, so CD=8 cm and

CA=\sqrt{3}CD=8\sqrt{3}\ cm

In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,

AB=2CA=16\sqrt{3}\ cm

By the Pythagorean theorem,

BC^2=AB^2-AC^2\\ \\BC^2=(16\sqrt{3})^2-(8\sqrt{3})^2=256\cdot 3-64\cdot 3=576\\ \\BC=24\ cm

3 0
2 years ago
A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from
gregori [183]

Answer:

55

Step-by-step explanation:

edge assignment

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3 years ago
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