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3 years ago

Pls help ASAP I’ll give brainliest

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

5 0

Answer: The answer is Corresponding angles. Hope it helps

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Use the interactive ruler to measure the distance from the

Zarrin [17]

Answer:

one-half

Step-by-step explanation:

Hope this helps!! :)

5 0

2 years ago

Car A travels 20 mph faster than Car B. In the same time that Car A travels 252 miles, Car B travels 196 miles. Find their speed

RoseWind [281]

<u>Answer:</u>

A = 70

B = 90

<u>Step-by-step explanation:</u>

We know that Car A travels 20 mph faster than Car B.

Assuming the speed of Car B to be x and the speed of Car A to be x+20, we can write:

$\frac{196}{x} =\frac{252}{x+20}$

Taking the reciprocal of both sides to make x the subject:

$196(x+20)=252x$

$196x+3920=252x$

$252x-196x=3920$

$56x=3920$

$x=70$ ---> speed of Car A

Finding the speed of Car B: $x+20 = 70+20=90$

Therefore, the speed of Car A = 70 and the speed of Car B = 90.

8 0

3 years ago

Calculate the surface area of a solid box in the shape of a cube with side length 6cm.

eduard

Answer:

216 cm^2

Step-by-step explanation:

A cube has 6 congruent, square faces.

Each face has side length of 6 cm.

The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is

SA = 6s^2

where s = side length

SA = 6 * (6 cm)^2

SA = 6 * 36 cm^2

SA = 216 cm^2

3 0

3 years ago

PLS Help Asap! i will award brainliest On her way to her grandmother's house, Jackie traveled three times as many miles by train

nirvana33 [79]

Answer:

24 miles.

Step-by-step explanation:

Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.

Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is $4\times3=12$ units.

Total number of units: $12units+4units+1unit=17units$

$17units=34$

Divide 17:

$1 unit=2$

The number of miles travelled by train is 12 units:

$12units=2\times 12=24$

She travelled 24 miles by train.

5 0

3 years ago

Find the volume of the solid.

dmitriy555 [2]

In Cartesian coordinates, the region (call it $R$ ) is the set

$R = \left\{(x,y,z) ~:~ x\ge0 \text{ and } y\ge0 \text{ and } 2 \le z \le 4-x^2-y^2\right\}$

In the plane $z=2$ , we have

$2 = 4 - x^2 - y^2 \implies x^2 + y^2 = 2 = \left(\sqrt2\right)^2$

which is a circle with radius $\sqrt2$ . Then we can better describe the solid by

$R = \left\{(x,y,z) ~:~ 0 \le x \le \sqrt2 \text{ and } 0 \le y \le \sqrt{2 - x^2} \text{ and } 2 \le z \le 4 - x^2 - y^2 \right\}$

so that the volume is

$\displaystyle \iiint_R dV = \int_0^{\sqrt2} \int_0^{\sqrt{2-x^2}} \int_2^{4-x^2-y^2} dz \, dy \, dx$

While doable, it's easier to compute the volume in cylindrical coordinates.

$\begin{cases} x = r \cos(\theta) \\ y = r\sin(\theta) \\ z = \zeta \end{cases} \implies \begin{cases}x^2 + y^2 = r^2 \\ dV = r\,dr\,d\theta\,d\zeta\end{cases}$

Then we can describe $R$ in cylindrical coordinates by

$R = \left\{(r,\theta,\zeta) ~:~ 0 \le r \le \sqrt2 \text{ and } 0 \le \theta \le\dfrac\pi2 \text{ and } 2 \le \zeta \le 4 - r^2\right\}$

so that the volume is

$\displaystyle \iiint_R dV = \int_0^{\pi/2} \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta \, dr \, d\theta \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta\,dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} r((4 - r^2) - 2) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} (2r-r^3) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \left(\left(\sqrt2\right)^2 - \frac{\left(\sqrt2\right)^4}4\right) = \boxed{\frac\pi2}$

3 0

2 years ago