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pantera1 [17]
3 years ago
14

Carla passes fertilizer on Amistad's yard. She covers 150 square feet every 3 hours. How many square feet per hour does Carla co

ver? Explain your reasoning.
Mathematics
2 answers:
kkurt [141]3 years ago
8 0

Answer:

the answer is 50

Step-by-step explanation:

if she does 150 square feet every 3 hour

you need the 3 hours down to 1 so in order to do that

you need to divide 3 by 3

what you do to one side must be done to the other

150 by 3

so it will look like

3/3 = 150/3

1 = 50

Ghella [55]3 years ago
6 0

Answer:

50 square feet

Step-by-step explanation:

150/3= 50

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number 1,2,4

Step-by-step explanation:

these are all equal sides

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Which property justifies this statement?
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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
3 years ago
Solve this system using substitution:
Sholpan [36]

Answer:

16x- 20y=20

Step-by-step explanation:

20y-20y =0

so answer is 16x

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4 years ago
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15yd=45ft show the work to solve problem
disa [49]

Answer:

15 yd = 45 ft because :

Step-by-step explanation:

You have to multiply the length by 3.

1 yd = 3 ft.

15 x 3 = 45.

Hope this helps,

Davinia.

3 0
3 years ago
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