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3 years ago

An isosceles triangular prism has a triangular end with a base

Mathematics

1 answer:

insens350 [35]3 years ago

5 0

Answer:

180

Step-by-step explanation:

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Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the

Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

<u>Solution:</u>

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

$\text{Distance}=\text{Speed}\times\text{Time}$

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

$\Rightarrow6x+18+6x = 162$

$\Rightarrow12x=162-18$

$\Rightarrow x=\frac{144}{12}\rightarrow x=12$

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be $x+3=12+3=15 \text{ mph}$

8 0

3 years ago

X + x + y x y please help me with this one

Ivenika [448]

Answer:

x + x = 2x

y * y = y^2

Step-by-step explanation:

Look on google

6 0

3 years ago

You measure 33 backpacks' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 12

saul85 [17]

Answer:

$E=3.4363$

Step-by-step explanation:

#Given a significance level of $\alpha=1-CI=1-0.90=0.1$ and

$\bar x=36, \ \sigma=12.1 \ n=41,$ the critical value is, $z_\alpha_/_2=z_\alpha_/_0_._0_5=1.645$

#the margin of error can then be calculated as:

$E=z_\alpha_/_2\times\frac{\sigma}{\sqrt n}=1.645\times \frac{12.1}{\sqrt 33}\\\approx 3.4363$

Hence the margin of error is 3.4363

8 0

3 years ago

Factorise: 6x^3y^2+9x^2y^3-3x^2y^2

Nezavi [6.7K]

Answer:

$\boxed{3x^2y^2 (2x+3y-1)}$

Step-by-step explanation:

$6x^3y^2+9x^2y^3-3x^2y^2$

For the three terms, the common factor is $3x^2y^2$ , so

$6x^3y^2+9x^2y^3-3x^2y^2 = \boxed{3x^2y^2 (2x+3y-1)}$

4 0

3 years ago

GIVING BRAINLY RANDOMLY!! First person to answer 2+2 GETS BRAINLY!!

sasho [114]

Step-by-step explanation:

5 0

3 years ago

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