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2 years ago

Is 36 yards and 2 feet greater than 114 feet and 2 inches

Mathematics

2 answers:

Tatiana [17]2 years ago

8 0

36 Yards and 2 feet equals 110 feet, so no.

kotegsom [21]2 years ago

6 0

THIS IS A KEY: 1 yd=3 ft 1 ft=12 in THIS IS NOT A KEY: 36 yds=1296in 2 ft=24 in so 1296+24=1320 in and...114 ft and 2 in=1370 So...114 ft and 2 ins is grater than 36 yds and 2 ft Hope this helps

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In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.

kipiarov [429]

Answer:

$BN=4\ \text{in}$

$AN=2\ \text{in}$

$AC=\sqrt{5}\ \text{in}$

Step-by-step explanation:

Let $BN=x$

$BC=c$

$NC=y=1\ \text{in}$

$AB=a=2\sqrt{5}\ \text{in}$

$AC=b$

We have the relation

$\dfrac{BC}{AB}=\dfrac{AB}{BN}\\\Rightarrow \dfrac{c}{a}=\dfrac{a}{x}\\\Rightarrow c=\dfrac{a^2}{x}\\\Rightarrow x+1=\dfrac{a^2}{x}\\\Rightarrow x^2+x=20\\\Rightarrow x^2+x-20=0\\\Rightarrow x=\frac{-1\pm \sqrt{1^2-4\times 1\times \left(-20\right)}}{2\times 1}\\\Rightarrow x=4,-5$

$\boldsymbol{BN=4\ \text{in}}$

$h=\sqrt{a^2-x^2}\\\Rightarrow h=\sqrt{(2\sqrt{5})^2-4^2}\\\Rightarrow h=2\ \text{in}$

$\boldsymbol{AN=2\ \text{in}}$

$b=\sqrt{h^2+y^2}\\\Rightarrow b=\sqrt{2^2+1^2}\\\Rightarrow b=\sqrt{5}\ \text{in}$

$\boldsymbol{AC=\sqrt{5}\ \text{in}}$

8 0

2 years ago

The 12 boys in the class make up 15% of the class. What is the total number of students in the class?

alina1380 [7]

Answer:

80 students

Step-by-step explanation:

12/80 is 0.15 or 15%

5 0

2 years ago

Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?

slamgirl [31]

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

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2 years ago

The ratio of red cars to blue cars in a parking lot was 5:3 . If there was 40 red cars , how many blue cars were there ?

Bas_tet [7]

The answer is x equals 24
you set up a proportion new over old
so for red cars 40 over 5
since we don’t know the new for blue cars we’ll use x
so x over 3
we then make them equal to each other
40 x
—- = —-
5 3
cross multiply, then we get
120=5x
isolate the x by dividing 5 from both sides to get 24

5 0

3 years ago

What's the value of given expression :<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B8%20%5Ctimes%202%7D%20" id="TexForm

Drupady [299]

Answer:

$\sqrt{8 \times 2} \\ = \sqrt{16} \\ = \sqrt{4 \times 4} = 4 \\ thank \: you$

8 0

2 years ago

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