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Nataly [62]
3 years ago
9

Solve the formula for the area of a triangle A = (1/2) bh for height h

Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0
A = (1/2) bh for height h

2A = bh

first multiply both sides by 2 then divide both sides by b

Area of triangle = (1/2)bh

A = (1/2)bh

2A = bh

h = 2A/b

110 = 1/2(11)h

110 = 5.5h

110/5.5 = 20

The answer Is H = 20

Hope this helps (:
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Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ<2π0≤θ<2π (a)(9,0
DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

x=r  \cos \theta, y= r \sin \theta

r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )

a) converts (9, 0) to polar coordinates  ( r , θ)

r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9

\theta= \tan^-^1 (\frac{0}{9} )\\\\=0

b) Convert (18,\frac{18}{\sqrt{3} } ) to polar coordinates ( r, θ)

r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}

\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}

c)  converts (-5, 5) to polar coordinates  ( r , θ)

r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}

\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}

d)  converts (-1, √3) to polar coordinates  ( r , θ)

r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2

\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}

= \frac{2\pi}{\sqrt{3} }

6 0
3 years ago
Claire sat a Spanish test and a French test.
posledela

Answer:

french

Step-by-step explanation:

convert both to percentage:

1. spanish:

\frac{27}{32}  \times 100 = 84.375

2.French:

\frac{19}{21}  \times 100 = 90.476

therefore Claire did better in the French test

6 0
4 years ago
Need help plz <br> How do you do this?
gavmur [86]

Answer:

See description below.

Step-by-step explanation:

A distance -time graph of Maria's journey would look like a very steep line with slope 100 meters/1 minute until minute 4. At minute 4, Maria stopped to talk so it would like a horizontal flat line at that same distance for 3 minutes. This means at minute 7, Maria began walking again. From minute 7 on would be a positive line heading up with a slope of 75 meters/ 1 minute.

3 0
3 years ago
What happens to the center of a figure when it is dilated about the origin?
alina1380 [7]
There are 2 answers for this in my opinion
1. nothing happens because its still in the origin and that won't change
2. depending on which way you turn it the points will change based on that

so if you know how to use a graph you should be good
7 0
3 years ago
Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2
defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations 3x+2y=27  and 2x+y=16 is (5,6)

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

3x+2y=27 -----> equation A

2x+y=(27-11)

2x+y=16 ----> equation B

Solve the system of equations

Multiply the equation B by -2

-2(2x+y)=-2*16 ----->-4x-2y=-32 ------> equation C

Adds equation A and equation C

3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5

Substitute the value of x in the equation B

2(5)+y=16

10+y=16

y=6

The solution of the system of equations is the point (5,6)

so

The price of each burger is \$5

The price of each sandwich is \$6

6 0
3 years ago
Read 2 more answers
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