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a right triangle has the legs length 3x meters and 4x meters and a hypotenuse of length 75 meters. find the lengths of the legs of the triangle

Answer: See explanation

Step-by-step explanation:

From the information given, we are told that on Saturday, the gymnast walked a distance of x miles while on Sunday, the gymnast walked half the distance that he walked on Saturday. ​

Therefore, the expression that represents the total number of miles the gymnast walked on Saturday and Sunday will be:

= x + (½ × x)

= x + ½x

= 1½x or 1.5x

Answer:

10

Step-by-step explanation:

tan30°=P/B

tan30°=P/10√3

1/√3=P/10√3

1/√3×10√3=P

.:P=10

j = 10

Step-by-step explanation:

use the definition of tangent of an angle:

tan 60 = opp/hyp = (10√3)/j

Solving for j,

j = (10√3)/tan 60

But tan 60 = √3 so we can write j as

j = (10√3)/√3

= 10

Answer:

-3x is the answer

Step-by-step explanation:

Answer:

-3x

Hopefully this helps lol

Answer:

12 (step by step is below)

Step-by-step explanation:

20% can be rerwitten as 1/5 or .20

since yous container holds 10 ounces you multiply by 1.20 (1 + amount of change) 10 x 1.2 = 12

- Gage Millar, Algebra 2 Tutor

Answer:

C:reflection accross the x axis

Step-by-step explanation:

Let the length of the map be L Cm.

Hence, L = 37.5 Cm

Now, Let the width of the map be B.( Breadth )

Now, we know that perimeter of a rectangle

= 2 ( L + B )

According to the question–

125 = 2 ( L + B )

{ Putting the value of L we get }

Or, 125 = 2 ( 37.5 + B )

Or, 125/2 = 37.5 + B

Or, 62.5 = 37.5 + B

Or, 37.5 + B = 62.5

Or, B = 62.5 – 37.5

Or, B = 25 Cm

Therefore, the Width of the rectangle is 25 Cm.

∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.

A series is the cumulative sum of a given sequence of terms.

The given expression is 13 + 9 + 5 + 1

The terms of this series are 13,9,5,1

It is an AP. Here, first term is 13 and common ratio is -4.

The nth term of an AP is

aₙ=a+(n-1)d

=13+(n-1)(-4)

=13-4n+4

=17-4n

The summation formula of an Arithmetic progression is

∑aₙ

The value of n is 4 because the number of term is 4. So, the summation formula is

∑(17-4n)

Hence ∑(17-4n) is the summation formula represents the series

13 + 9 + 5 + 1.

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Answer:

The ordered pair associated with a t-value of -1 is (-3, 1).

Step-by-step explanation:

Substitute the t-value, or -1, into both of the equations to find the pairs.

x = t - 2

x = (-1) - 2

x = -3

y = t^2

y = (-1)^2

y = 1

The ordered pair associated with a t-value of -1 is (-3, 1).

Answer:

16.64911

Step-by-step explanation:

Answer:

area of the regular pyramid is =T.S.A=12pl+B is the formula for this question

Answer:

D. The sum of twice number and six is no more than five.

Step-by-step explanation:

In the inequality,

[tex]2n+6\leq 5[/tex]

The number (n) is multiplied by (2), therefore options (A) and (B) can be ruled out since they have the statement, "twice the sum of a number and six". Moreover, one can see the inequality sign indicates that this value is less than or equal to (5). Thus, one of the possible solutions to this equation is (5), therefore, option (C) is incorrect. Therefore, the only remaining correction option is option (D).

Answer: 50.27 m

Step-by-step explanation:

[tex]A=\pi r^2\\A=\pi 4^2\\A=50.27[/tex]

Hope this helped! ;)

The circumferance of the given circle is C = 8π.

        x² + y² + 2gx + 2fy + c = 0.

        (x - x₁)² + (y - y₁)² = r²

        x² + y² + 2hx + 2ky + C = 0 where x = - h + rcosθ and y =  - k + rsinθ.

Given is a circle that has a diameter of 8 meters.

We can write the circumferance of the circle as -

C = 2πr

C = 2π (d/2)

C = 2π (8/2)

C = 8π

Therefore, the circumferance of the given circle is C = 8π.

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Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

Answer:

- 5 (x = 1)

Step-by-step explanation:

When x equals 1, it fits in the piece where x < 3. The equation for that interval is -x - 4. We can substitute 1 into that equation to get:

- 1 - 4

- 5

Answer:

31

Step-by-step explanation:

x+y = 57

x = y+5

=>

y + 5 + y = 57

=> 2×y + 5 = 57

=> 2×y = 52

=> y = 26

=> x = 26 + 5 = 31

Answer:

3

Step-by-step explanation:

Answer:

square root -91/3

Step-by-step explanation:

just took the test

The right option is missing. The correct answer is tan(0) = -(√91)/3.

The trigonometric expression tan(0) has a value of -(√91)/3 when cos(0) = -3/10.

The values of all trigonometric functions dependent on the value of the ratio of sides of a right-angled triangle are known as trigonometric ratios. The trigonometric ratios of a right-angled triangle's sides about any of its acute angles are known as that angle's trigonometric ratios.

The three sides of the right-angled triangle are:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

The trigonometry ratios for a specific angle ‘θ’ is given below:

Trigonometric Ratios:

Sin θ =  Perpendicular/Hypotenuse

Cos θ = Base/Hypotenuse

Tan θ = Perpendicular/Base or Sin θ/Cos θ

Cot θ = Base/Perpendicular or 1/tan θ

Sec θ = Hypotenuse/Base or 1/cos θ

Cosec θ = Hypotenuse/Perpendicular or 1/sin θ

According to the Pythagoras theorem, we can say that in a right-angled triangle:

Hypotenuese² = Base² + Perpendicular²

We are given cos(0) = -3/10, 0 being an obtuse angle (90° < 0 < 180°, since 0 is an angle in quadrant II)

We need to remember that in quadrant II, sine is always positive, cosine is negative, and tangent is also negative.

We are asked to find the value of tan(0).

We know cos(0) = Base/Hypotenuse.

So we let the hypotenuse be 10k, and let the base be 3k. Let the perpendicular be p.

By Pythagoras' Theorem,

Hypotenuese² = Base² + Perpendicular²

or, (10k)² = (3k)² + p²

or, 100k² = p² + 9k²

or, p² = 100k² - 9k² = 91k² = (k√91)²

or, p = k√91

Now, we can find the value of tan(0):

tan(0) = Perpendicular/Base = -(k√91)/3k = -(√91)/3

(Negative value taken as tan is negative in quadrant II)

∴ The trigonometric expression tan(0) has a value of -(√91)/3 when cos(0) = -3/10.

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Answer:

You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together.

Its pretty simple once you understand it

dont be afraid to ask me if you need some help.

Have a wonderfull day

Answer:

The correct answer to the problem is 9

Step-by-step explanation:

3 x- 1 = 26

3 x = 27

x = 9

Answer:2/5

Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5

Answer:

0.009......sushhd

Step-by-step explanation:

14.991.....djdjsj

Answer:

Its D!

Step-by-step explanation:

all you have to do for the triangles  to  be simialr is  they have to add up to the same  number.

In triangle abc ma=70  and mb=35  add those  gives you 105

and  in  triangle mnp and M<N =70   which  also gives you 105

since u get the same answer    their similar!

Hope this helps!

Answer:

The discriminant is 0

There is 1 real solution

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.

Plug in these values into the formula:

D = b² - 4ac

D = (-4)² - 4(1)(4)

D = 16 - 4(4)

D = 16 - 16

D = 0

So, the discriminant is 0.

With a discriminant of zero, there is one real solution.

So, the number of real solutions is 1.

Answer:

Did you find It because I need it so can you reply please

Step-by-step explanation: