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2 years ago

What is the area of this figure? 5 in 6 in 15 in 16 in 10 in 20 in

Mathematics

2 answers:

andrew-mc [135]2 years ago

6 0

Answer:

230 in.²

Step-by-step explanation:

20 · 10 = 200 in.²

5 · 6 = 30 in.²

200 in.² + 30 in.²

IrinaK [193]2 years ago

4 0

Answer:

230 sq in

Step-by-step explanation:

You can find entire area (20 x 16) and subtract out the area of the missing piece (15 x 6)

20 x 16 = 320

15 x 6 = 90

320 - 90 = 230

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Find the least common multiple of: 12x^3y^2 and 15x^2y^5

allochka39001 [22]

Answer: $60x^3y^5$

Step-by-step explanation:

Least Common Multiple :The least positive number that is a multiple of two or more numbers.

To find : The least common multiple of: $12x^3y^2$ and $15x^2y^5.$

Since, $12x^3y^2=2\times2\times3\times x^3y^2$

$15x^2y^5=3\times5\times x^2y^5$

The least common multiple of: $12x^3y^2$ and $15x^2y^5.$ = $2\times2\times3\times5\times x^3y^5=60x^3y^5$ [take highest power of x and y ]

Hence, the least common multiple of: $12x^3y^2$ and $15x^2y^5.$ = $60x^3y^5$

3 0

3 years ago

What is the surface area of each triangular prism?

SOVA2 [1]

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

8 0

2 years ago

"isotherms are drawn at regular intervals; on this map, the interval between successive isotherms is ______ fahrenheit degrees."

Marizza181 [45]

An isotherm on a geographic map is a type of equal temperature at a given date or time. And if we talk about thermodynamics, it is a curve on a Pressure – Volume diagram at a constant temperature.

Basing from the graph, we can actually see that the interval is:

10 Fahrenheit degrees

6 0

2 years ago

Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilom

bezimeni [28]

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

$Speed = \dfrac{Distance}{Time}$

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

$(u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)$

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

$(u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)$

Adding (1) and (2) to solve for u and v:

$2u = 2240\\\Rightarrow u = 1120\ km/h$

Putting u in (1):

$1120-u=940\\\Rightarrow u = 180\ km/h$

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

6 0

2 years ago

Let g(x)=-x^2+5x+4. Find g(p)

Alexandra [31]

g(p) = -p^2 + 5p + 4 (you just replace the dummy variable)

4 0

2 years ago

What is the area of this figure? 5 in 6 in 15 in 16 in 10 in 20 in​

What is the area of this figure? 5 in 6 in 15 in 16 in 10 in 20 in