2 years ago

7 of 12

Mathematics

1 answer:

astra-53 [7]2 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

Since the parallelograms are similar then the ratios of corresponding sides are equal , that is

= ( cross- multiply )

6x = 60 ( divide both sides by 6 )

x = 10

Step-by-step explanation:

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The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m

Mnenie [13.5K]

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, $A= \frac{1}{2}bh$

When $A=190 cm^2, h=10cm$

$190= \frac{1}{2}*b*10\\b=38cm$

$\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,$

$2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min$

The base is reducing at a rate of 3.4cm per min.

8 0

3 years ago

How do you verify the identity?

rodikova [14]

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5 0

3 years ago

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Mrac [35]

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2 years ago

Sylvia, John, and Peter invested their savings in a bank. The ratio of the investment of Sylvia's to John's is 1: 3 and that of

Nastasia [14]

Answer:

4 : 12 : 15

Step-by-step explanation:

S : J = 1 : 3

J : P= 4 : 5

Using John's ratio to find a common ratio for all

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J : P

(4 : 5)3 = 12 : 15

Therefore our ratio is

S : J : P

4 : 12 : 15

3 0

3 years ago

If 9:x = x:4, then x is 6. <br><br> true or false

Sophie [7]

We subsituete

9:6=6:4
treat as fraction
9/6=6/4

9/6=3/3 times 3/2
6/4=2/2 times 3/2

3/2=3/2
this is TRUE

7 0

3 years ago

Read 2 more answers