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Allushta [10]
3 years ago
14

An equation that sets two fractions equal to each other is called a ____.

Mathematics
2 answers:
spin [16.1K]3 years ago
5 0
The answer is proportion
Shkiper50 [21]3 years ago
3 0
An equation that sets two fractions equal to each other is called a proportion. A proportion is a name we give to a statement that two ratios are equal. When two ratios are equal, then the cross products<span> of the ratios are equal. Hope this helps.</span>
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Joe bought g: gallons of gasoline for $2.85 per gallon and c: cans for oil for 3.15 dollars.
OlgaM077 [116]
A) 2.85g+3.15c
B)2.85(8.4)+3.15(6)=$42.84
8 0
2 years ago
joes family has compleated 60% of a road trip. if they have traveld 30 miles, how far is the full road trip?
Tems11 [23]

The full road trip is 50 miles.

Step-by-step explanation:

Given,

Distance traveled by Joe's family = 30 miles

This represents 60% of the total distance to be traveled.

Let,

x be the total distance.

60% of x = 30

\frac{60}{100}*x=30\\0.6x=30

Dividing both sides by 0.6

\frac{0.6x}{0.6}=\frac{30}{0.6}\\x=50\ miles

The full road trip is 50 miles.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

4 0
3 years ago
a 90% confidence interva is constructed for the population mean. If a 95% confidence interval had been constructed instead (ever
zhuklara [117]

Answer: increased

Step-by-step explanation:

  • An x% confidence interval indicates that a person can be x% confident that true population parameter lies in it.

More level of confidence more width of the interval.

As level of Confidence interval increases width of interval increases.

Width of interval \propto  level of Confidence interval

So, If a 95% confidence interval had been constructed instead of 90% the width of the interval would have been<u> increased.</u>

6 0
2 years ago
The Bar Chart shows the weights of 10 dogs entered in a local dog show,
hammer [34]
Is there any picture ?
7 0
2 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
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