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Vikentia [17]
3 years ago
5

What’s the base of a triangle if the area is 180cm but the height is 20

Mathematics
2 answers:
vredina [299]3 years ago
8 0
Yeah that is the correct answer
Lena [83]3 years ago
6 0

Answer:

the base is 18cm

Step-by-step explanation:

A=1/2*bh

180=1/2*(20)b

180=10b

b=18

You're welcome :)

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Y=–3x + 6y=9 What is the solution to the system of equations? (–21, 9) (9, –21) (–1, 9) (9, –1)
weqwewe [10]

ANSWER


The solution is (-1,9)

EXPLANATION

We want to solve the simultaneous equations


y=-3x+6---(1)


and


y=9--(2).


We substitute equation (2) in to equation (1), to obtain


9=-3x+6


This has now become a linear equation in a single variable x.


We solve for x  by grouping like terms.


9-6=-3x


3=-3x


We divide through by negative 3 to get;


-1=x.


Hence, the solution is (-1,9)





7 0
3 years ago
Read 2 more answers
A circle is growing so that the radius is increasing at the rate of 3 cm/min. How fast is the area of the circle changing at the
Naya [18.7K]

Answer:

The area is growing at a rate of \frac{dA}{dt} =226.2 \,\frac{cm^2}{min}

Step-by-step explanation:

<em>Notice that this problem requires the use of implicit differentiation in related rates (some some calculus concepts to be understood), and not all middle school students cover such.</em>

We identify that the info given on the increasing rate of the circle's radius is 3 \frac{cm}{min} and we identify such as the following differential rate:

\frac{dr}{dt} = 3\,\frac{cm}{min}

Our unknown is the rate at which the area (A) of the circle is growing under these circumstances,that is, we need to find  \frac{dA}{dt}.

So we look into a formula for the area (A) of a circle in terms of its radius (r), so as to have a way of connecting both quantities (A and r):

A=\pi\,r^2

We now apply the derivative operator with respect to time (\frac{d}{dt}) to this equation, and use chain rule as we find the quadratic form of the radius:

\frac{d}{dt} [A=\pi\,r^2]\\\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}

Now we replace the known values of the rate at which the radius is growing ( \frac{dr}{dt} = 3\,\frac{cm}{min}), and also the value of the radius (r = 12 cm) at which we need to find he specific rate of change for the area :

\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}\\\frac{dA}{dt} =\pi\,*2*(12\,cm)*(3\,\frac{cm}{min}) \\\frac{dA}{dt} =226.19467 \,\frac{cm^2}{min}\\

which we can round to one decimal place as:

\frac{dA}{dt} =226.2 \,\frac{cm^2}{min}

4 0
3 years ago
1. A magazine advertise its $12 annual subscription price 70% off the newsstand price. What is the number of dollars per year a
ollegr [7]
1.  $17.14

  12   represents    70%
   x    represents    100%

rule of three

Price                 Percentage 
+12                         70-
  -x                          100+

x= \frac{12*100}{70} &#10; \\  \\&#10;x= \frac{12*10}{7} &#10; \\  \\ x=17.14




3 0
3 years ago
Compare 900 cm 9000 mm
dmitriy555 [2]
9000mm is equivalent to 900cm
3 0
3 years ago
The measure of the largest angle of a triangle is 3 less than 5 times the measure of the smallest . the measure of the remaining
lakkis [162]
Suppose the smallest angle is x
the largest is 5x-3
the remaining angle is 2x-1
the three angles make a sum of 180: x+5x-3+2x-1=180
8x-4=180
8x=184
x=23
the smallest angle is 23 degree.
3 0
3 years ago
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