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2 years ago

Find the area of the triangle

Mathematics

1 answer:

Soloha48 [4]2 years ago

6 0

Answer:

The area of the triangle WYX = $\frac{35}{2}$ = 17 $\frac{1}{2}$

Step-by-step explanation:

The area of the triangle WYX is $\frac{1}{2}$ *b*h

We need to find base (b) and height (h)

By counting from the drawing, the base which is horizontal is 7 and the height which is vertical is 5

The area of the triangle WYX is $\frac{1}{2}$ *b*h

The area of the triangle WYX = $\frac{1}{2}$ *7*5 = $\frac{35}{2}$ = 17 $\frac{1}{2}$

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18h=252 what is it???

Nadusha1986 [10]

Answer:

h=14

Step-by-step explanation:

18h=252

18h/18=252/18

h=14

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2 years ago

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s co

Tems11 [23]

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160

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2 years ago

Integrate x+1/sqrt(x). I know that the answer is 2/3 • sqrt(x) • (x+3) + C, but I don't know how it is simplified from 2/3 • x^3

Andreas93 [3]

$\displaystyle\int\frac{x+1}{\sqrt x}\,\mathrm dx=\int\frac x{x^{1/2}}+\frac1{x^{1/2}}\,\mathrm dx$

$=\displaystyle\int x^{1/2}+x^{-1/2}\,\mathrm dx$

By the power rule,

$=\dfrac{x^{3/2}}{\frac32}+\dfrac{x^{1/2}}{\frac12}+C$

(this seems to be the step you're not getting?)

$=\dfrac23x^{3/2}+2x^{1/2}+C$

The next step is to pull out a common factor of $x^{1/2}$ from the antiderivative:

$x^{3/2}=x^{1/2+1}=x^{1/2}\cdot x^1$

so that the final result is

$\dfrac23x^{3/2}+2x^{1/2}+C=\dfrac23x^{1/2}(x+3)+C$

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2 years ago

Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 36

Andrews [41]

Answer:

Step-by-step explanation:

Let the total production order be X. The combined rate is thus x/36 orders per hour.

Now, we know that the three machines are working at the same constant rate. This means that individual rate for each of the machines will be x/36 divided by 3 and that gives x/108 per machine.

Now, we are having another machine coming at the same constant rate. This means we are adding an x/108 rate to the preexisting x/36.

The new total rate thus becomes x/108 + x/36 = 4x/108

Now we know that the total new rate is 4x/108. Since the total work doesn’t change and it is still x, the time taken to complete a work of x orders at a rate of 4x/108 order per hour would be x divided by 4x/108 and this is x * 108/4x = 108/4 = 27 hours

7 0

2 years ago

Which statement explains the difference between a line and a segment?

ser-zykov [4K]

Answer:

Answer: A line does not have a formal definition, and a segment is described through undefined terms.

Step-by-step explanation:

5 0

3 years ago

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