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Shtirlitz [24]
3 years ago
6

What is the length of the unknown leg in the right triangle? A triangle with side 21 centimeters, hypotenuse 29 centimeters, and

side a.
Mathematics
2 answers:
Rom4ik [11]3 years ago
6 0

Answer:

20 cm

Step-by-step explanation:

So to start off we know the hypotenuse is 29 and one leg is 21.

And we the the hypotenuse in an equation is c and the one leg can be b or a but in this situation it is b.

So when putting it into the equation which looks like this.

a^2+ 21^2 = 29^2

We then square 21 and 29 which gets us 441 and 841.

Then to solve an equation we subtract 441 into 841 which gets us 400.

So our equation looks like this now.

a^2 = 400

Now to get rid of the square we find the square root of both sides.

For a squared it cancels the square out and makes it just a and the square root of 400 is 20.

Hence, a the missing led is 20cm.

tensa zangetsu [6.8K]3 years ago
3 0

Answer:

20

Step-by-step explanation:

IDK how to explain it, but I hope having the answer helps..?

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Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to
aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

\frac{7}{10} x-3

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\

\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0
3 years ago
What is the equation in vertex form of a parabola with vertex (-2, -2) that opens downward and is stretched by a factor of 5?
Galina-37 [17]

Answer:

D).  -5(x + 2)^2 - 2.

Step-by-step explanation:

Parabola which Opens down and vertex (-2, -2) is :

f(x) = a(x + 2)^2 - 2 where a is negative

Stretch by factor 5 gives:

-5(x + 2)^2 - 2.

5 0
2 years ago
Jane is trying to estimate the average electric bill amount of people who live in Las Cruces in summer time. She randomly select
Lina20 [59]

Answer:

The estimated average electric cost amount of all residents in Las Cruces = 182.9

Step-by-step explanation:

The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be

135 265 215 103 156 203 125 156 230 241

Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.

This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.

Sample mean ≈ Population mean

μₓ = μ

Mean = = (Σx)/N

The mean is the sum of variables divided by the number of variables

x = each variable

N = Sample size = 10

Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829

Sample mean = (1,829/10) = 182.9

Population mean ≈ sample mean

Population mean ≈ 182.9

Hope this Helps!!!

8 0
3 years ago
At the movies, Jill and Carly each buy a
grin007 [14]

Answer:

where is the graph?

Step-by-step explanation:

I can't see the graph so I can't answer!

4 0
2 years ago
Suppose it takes you 14 hour to drive to the movie theater at a rate of 40 mph. Your friend lives closer to the movie theater th
dezoksy [38]

Answer: (d)

Step-by-step explanation:

Given

It takes 14 hours with 40 mph to reach the theatre

so, the distance traveled is given by

\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}

It is given that d is the distance from theatre to friend's house

So, d must be less than d_1 i.e.

d

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.

7 0
2 years ago
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