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olya-2409 [2.1K]

1 year ago

11

Mat played tennis 35 times in 7 weeks. sue played tennis 15 times in 21 days. are their rates equivalent?

1 answer:

morpeh [17]1 year ago

5 0

Yes they are because you convert 7 weeks to days. Then you divide 49 by 21 because you have to see if they go in with each other and do the same thing with 35 and 15.

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Find the rate of 250mm to 75cm

Kruka [31]

If you’re looking for the ratio:

75cm = 750mm

250:750
1:3

The answer is 1:3

6 0

2 years ago

If J is the centroid of cde, de=52, fc=15, he=14, find each missing measure

const2013 [10]

Answer:

$DG = 26$

$GE = 26$

$DF = 15$

$CH = 14$

$CE = 28$

Step-by-step explanation:

The figure has been attached, to complement the question.

$DE = 52$

$FC = 15$

$HE = 14$

Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:

$DF = FC$

$CH = HE$

$DG = GE$

Solving (a): DG

If $DG = GE$ , then

$DE = DG + GE$

$DE = DG + DG$

$DE = 2DG$

Make DG the subject

$DG = \frac{1}{2}DE$

Substitute 52 for DE

$DG = \frac{1}{2} * 52$

$DG = 26$

Solving (b): GE

If $DG = GE$ , then

$GE = DG$

$GE = 26$

Solving (c): DF

$DF = FC$

So:

$DF = 15$

Solving (d): CH

$CH = HE$

$CH = 14$

Solving (e): CE

If $CH = HE$ , then

$CE = CH + HE$

$CE = 14 + 14$

$CE = 28$

7 0

3 years ago

Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)

nalin [4]

Answer:

$0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi$

Step-by-step explanation:

Given the equation:

$sin(x)-2sin(x) tan(x)=0$

To find:

The solutions of given equation in the range [0, 2 $\pi$ ) i.e. 0 can be in the answer but $2\pi$ can not be there in the answer.

Solution:

Taking $tan(x)$ common, we get:

$tan(x) (1-2sin(x))=0$

The solutions can be given as:

$tan(x) = 0$ OR $1-2sin(x) = 0$

Let us solve both the equations one by one:

First equation:

$tan(x) = 0\\ \Rightarrow x=0, \pi$

Second equation:

$1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}$

Therefore, the answers as a comma separated list are:

$0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi$

7 0

2 years ago

2x-1/4(12x+4)=3<br><br><br><br> 2x-1/4 (12x+4)=3

eduard

<span>2x-1/4(12x+4)=3
</span>⇒ 2x -1/4*(12x) -1/4*4= 3 (distributive property)
⇒ 2x -3x -1= 3
⇒ -x= 3+1
⇒ -x= 4
⇒ x= -4
<span>
Final answer: x=-4~

</span>

3 0

2 years ago

Rewrite the following fraction as a decimal. 4/5

guapka [62]

4/5 = 8/10= 0. 80
make sense? any questions?

4 0

3 years ago

Read 2 more answers