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Nuetrik [128]
3 years ago
15

A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of

the rectangle?
w2 = 3(243)
3w2 = 243
4w2 = 243
3w2 = 3(243)
Mathematics
2 answers:
kykrilka [37]3 years ago
8 0

Answer:

the second option because it's three times the width so it would be time the W

Step-by-step explanation:

Sauron [17]3 years ago
3 0

Answer:

the guy above me is correct

Step-by-step explanation:

just did the test got a 100%

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What is the greatest common factor for both terms: 24x + 8
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3 years ago
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
The graph represents the number of cups of flour for the number of cups of sugar ina cake recipe. Which ratio is accurate based
Dmitry_Shevchenko [17]
7.5
I’m not sure
Sorry
7 0
3 years ago
Read 2 more answers
Math help ;x please help <br> asap skdsk <br> 10 points!
Svetradugi [14.3K]

Answer:

C.

Step-by-step explanation:

When you write the equation of a line in slope-intercept form,

y = mx + b,

m is the slope.

Parallel lines have equal slopes.

The given line is

y = (4/5)x - 1

and has slope 4/5.

The only equation in the choices with slope 4/5 is in choice C whose line is

y = (4/5)x + 2.

8 0
3 years ago
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