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3 years ago

Find the area of a trapezoid with bases 14 cm and 18 cm and height 10 cm.

Mathematics

1 answer:

4vir4ik [10]3 years ago

8 0

You should add the two bases and muliply them with the height and then divide with 2
(14+18)×10÷2=160

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The width and length of a rectangle are (x+2) and (2x+5). Find the expression that can be used to represent the perimeter and ar

Aliun [14]

To find the area of this rectangle you multiply the length by the width, like so (x+2) x (2x+5) .

To find the perimeter of this rectangle you add all the sides using this equation,
(x+2)+(x+2)+(2x+5)+(2x+5) .

3 0

2 years ago

In a bag are 5 oranges and 4 mangoes select one replaces it and select another . What is the probability that both selections we

Serggg [28]

Answer:

P(orange)x P(orange)= 5/9 x 5/9= 25/81

Step-by-step explanation:

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3 years ago

Describe the translation of f(x) = |x|.

Lady bird [3.3K]

Answer:

y=|x|

Here's a graph if needed.

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2 years ago

Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho

Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be= x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

Time taken by Samantha

$=\frac{80}{x}$

Time taken by Tamara

$=\frac{80}{4+x}$

Equation for difference in time

$=\frac{80}{x} -\frac{80}{4+x} =1$

Solve the equation for difference in time to get value of x which is samantha speed

$=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0$

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

$x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16$

Samantha speed is 16 mph

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2 years ago

What is the scale factor?

pashok25 [27]

Answer:

Step-by-step explanation:

Note that you have to multiply each side of the small triangle by 4 to get the same measurement of the large one.

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2 years ago