The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. In case of non-integer answer(s), round your answer(s) to the nearest hundredth.

Answer:

this is good looking nice photo but li can't give you answer of that sorry.

Step-by-step e this https://www.commonlit.org/en/students/student_lesson_activities

Answer:

6

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

From the given information:

Null and alternative hypothesis is:

[tex]H_o : \mu _{france} = \mu_{switzerland} \\ \\ H_a : \mu _{france}\neq \mu_{switzerland}[/tex]

Given:

Number of babies   France    Switzerland

Sample size (n)         100                100

Mean                         1.85               1.65

SD                              1.3                 1.2

The test statistics can be computed as:

[tex]Z = \dfrac{\bar x_{france} - \bar x_{switzerland}}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}}[/tex]

[tex]Z = \dfrac{1.85- 1.65}{\sqrt{\dfrac{1.3^2}{100}+\dfrac{1.2^2}{100}}}[/tex]

[tex]Z = \dfrac{0.2}{\sqrt{0.0313}}[/tex]

[tex]Z = 1.130[/tex]

degree of freedom = [tex]n_1 + n_2 -2[/tex]

= 100 + 100 -2

= 200 -2

=198

At 0.05, using the [tex]t_{dist}[/tex] table;

P-value = [tex]t_{dist} (1.130,198,2)[/tex]

P-value = 0.258

Since P-value is greater than ∝ = 0.05, We fail to reject [tex]H_o[/tex]

We conclude that there is No statistical difference at the 0.05 level. Hence [tex]\mu_{france} \neq \mu_{switzerland}[/tex]

The significance level shows that there is no sufficient evidence to conclude that there is a difference in the average number of babies as B. Test statistics z= 1.13 and p-value is 0.258

It should be noted that a significance level simply means the probability that an event could have taken place by chance.

In this case, the test statistic will be:

= (1.85 - 1.65)/(✓1.3²/100 + 1.2²/100)

= 1.13

This is a two tailed test. Therefore, the p value will be:

= 2(1 - 0.87076)

= 0.258

Therefore, the p value is more than 0.05 and there's no sufficient evidence to reject the null hypothesis.

Learn more about significance level on:

https://brainly.com/question/4599596

Answer:

EC = 28'

Step-by-step explanation:

Since ∆KAR ~ ∆ENC, therefore, their corresponding side lengths will be proportional to each other.

By implication, we have:

EN/KA = EC/KR

EN = 96'

KA = 24'

EC = ?

KR = 7'

Thus:

96/24 = EC/7

Cross multiply

EC*24 = 7*96

EC*24 = 672

Divide both sides by 24

EC = 672/24

EC = 28'

m > 10.33 hope this helps

Answer:

SA = 484 cm²

Step-by-step explanation:

Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)

✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)

L = 7 cm

W = 7 cm

H = 12 cm

S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²

✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)

L = 7 cm

W = 2 cm

H = 2 cm

S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²

✔️Base area of the smaller rectangular prism = L*W

L = 7 cm

W = 2 cm

Area = 7*2 = 14 cm²

✅Surface area of the composite figure = 434 + (64 - 14)

= 434 + 50

= 484 cm²

Answer:

thanx for the reminder

Step-by-step explanation:

have a wonderful day :)

Answer:

A. A triangle can be equilateral and obtuse at the same time

Step-by-step explanation:

All angles in an equilateral triangle are 60° therefore they cannot be above 90° and less than 180°

Answer:

Hello! answer: 585

Step-by-step explanation:

This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...

15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!

Answer:

B

Step-by-step explanation:

they rest The two by five and separate the square

[tex]\sqrt{x^{10}} = x^5[/tex]

=====================================================

Explanation:

We simply take half of the exponent 10 to get 5. This applies to square roots only.

So the rule is [tex]\sqrt{a^b} = a^{b/2}[/tex]

A more general rule is

[tex]\sqrt[n]{a^b} = a^{b/n}[/tex]

If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.

Answer:

E

[tex] \sqrt{ {x}^{10} } \\ = \sqrt{ ({x}^{5} ) {}^{2} } \\ = {x}^{5} [/tex]

Answer:

$126

Step-by-step explanation:

Answer:

A. y=-1/3x+10

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so

m=-1/3  then use the point (6,8) to find the equation of the line

y=mx+b

8=(-1/3)(6)+b

8=-2+b

b=10

y=-1/3x+10

Answer:

Answer:

341.6

Step-by-step explanation:

This problem asks one to subtract (58.4) from (400).

400 - 58.4 = 341.6

Less than is subtraction.

Subtract 58.4 from 400

400 - 58.4 = 341.6

The answer is 341.6

Answer:

Max (-7/2, 97/4)

Domain: all real numbers

Range: (negative infinity, 97/4)

Step-by-step explanation:

Im assuming this is a quadratic equation y = -x^2-7x+12

The max/min are the vertex (-b/2a)

Answer:

41.8°

Step-by-step explanation:

Opposite angles are equal.

Answer:

41.8 degrees

Step-by-step explanation:

They are vertical angles, meaning they are the same, just opposite one another.

-> 4x= 66-10

-> 4x= 56

-> x= 56/4

-> x= 14

mark me brainliestttt plsss :)))

Answer:

x = 14.

Step-by-step explanation:

4x + 10 = 66

4x + 10 - 10 = 66 - 10

4x = 56

x = 56/4 = 14.

Answer:

I diminished the amount that

Step-by-step explanation:

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Answer:

339.4cm³

Step-by-step explanation:

V

=

π

r

2

h

3

22/7×6²×9/3= 339.42

Answer:

Step-by-step explanation:

(2u+3u)(u+v)-2u+3v

=2u(u+v)+3u(u+v)-2u+3v

=2u^2+2uv+3u^2+3uv-2u+3v

=5u^2+5uv-2u+3v

Answer:

The answer is "0.00842".

Step-by-step explanation:

Due to these cards, a conventional 52-card set is dealt one at a time.

While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.

Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].

The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex]  probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]

Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex]  then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]

The chances of five cards being drawn (three spades and two spades),

[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]

Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]

[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]

all of the above which is e

Answer and Step-by-step explanation:

To find the value of x, set the sides BC and AD equal to each other (we can do this because we are told that the figure is a parallelogram, and those sides are congruent as stated in the properties of a parallelogram).

16x - 15 = 30 + 11x

Subtract 11x from both sides of the equation.

5x - 15 = 30

Add 15 to both sides of the equation.

5x = 45

Divide both sides of the equation by 5.

x = 9

So, the answer is 9, which is equal to x.

#teamtrees #PAW (Plant And Water)

Answer:

x = 1.67

Step-by-step explanation:

We know that in a parallel, opposite sides are parallel and congruent, therefore we can solve for x, by:

(BC) = (AD)

16x - 15 = 30 - 11x

(+11x) + 16x - 15 = 30

27x - 15 = 30

27x = 45

x = 45/27

x = 1.67

Therefore, x = 1.67

Hope this helps!

Answer:

57.5

Step-by-step explanation:

The expected frequency of West Campus and Failed :

Let :

Failed = F

East Campus = C

West Campus = W

Passed = P

Frequency of FnW :

[(FnE) + (FnW) * (PnW) + (FnW)] / total samples

[(52 + 63) * (63 + 37)] / 200

[(115 * 100)] / 200

11500 / 200

= 57.5

n(Failed n East campus)

Answer:

57.5

Step-by-step explanation:

Got it right on the test.

Answer:

[tex]0.4138[/tex]

Step-by-step explanation:

Given

[tex]x \to storm[/tex]

[tex]\mu_x = 1.0[/tex]

[tex]y \to fire[/tex]

[tex]\mu_y = 1.5[/tex]

[tex]z \to theft[/tex]

[tex]\mu_z = 2.4[/tex]

Let the event that the above three factors is greater than 3 be represented as:

[tex]P(A > 3)[/tex]

Using complement rule, we have:

[tex]P(A > 3) = 1 - P(A \le 3)[/tex]

This gives:

[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]

-----------------------------------------------------------------------------------------------------------

The exponential distribution formula of each is:

[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]

So, we have:

[tex]k = 3; \mu_x = 1[/tex]

[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]

[tex]k=3; \mu_y = 1.5[/tex]

[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]

[tex]k = 3; \mu_z = 2.4[/tex]

[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]

-----------------------------------------------------------------------------------------------------------

[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]

[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]

[tex]P(A > 3) = 1 - 0.5862[/tex]

[tex]P(A > 3) = 0.4138[/tex]

Answer:

Decompose the figure into two rectangles and add the areas.

Find the area of the entire rectangle and of the removed corner and subtract the areas.

Decompose the figure into three rectangles and add the areas.

Step-by-step explanation:

With all of these you can actually calculate the area of the composite figure, some of them are more easy and efficient than the other, for example dividing the composite area into three rectangles is not very efficient but will do the job, and the one where you decompose the area into two rectangles would be the best one, as well as the one where you find the area of the larger rectangle and the subtract from that the rectangle that is taken off in the right corner.