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3 years ago

What is the solution to the equation x+14=63

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

The correct answer is x=49

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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

The product of two consecutive negative even integers is 24. Find the largest integer.

natali 33 [55]

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

so turn it to negative

-4 x -6 = 24

The largest is -4

3 0

3 years ago

∠5 and ∠6 are complementary angles.<br><br> m∠5=13°<br><br> What is the measure of ∠6 ?

loris [4]

Answer:

the measure of <6 is 77 degrees

x + 13 = 90

x = 77

Step-by-step explanation:

4 0

3 years ago

2/3 divided by 1/12 on number line

allsm [11]

Answer:

.05

Step-by-step explanation:

6 0

3 years ago

Help me please i only have a small amount of time

Sveta_85 [38]

Answer: 0.83

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers