Find the legs of a 30° -60°-90° triangle whose hypotenuse is:
10 in.
PLEASE ANSWER ASAP IM really STRUGGLING!!

Answer:

X+X

Step-by-step explanation:

did it on edg

Answer:

x° + x°

Step-by-step explanation:

Edge 2020

Answer:

Ok, i will suppose the situation that:

The rocket has a constant speed S (So the acceleration of the rocket is equal in magnitude, but opposite in direction, to the gravitational acceleration)

Here we can remember that:

Velocity = distance/time.

Then if the distance is the height of the rocket, we can write this as:

H = velocity*time

h = S*t

This is a linear model that represents the height of the rocket as a function of time.

Case 2:

The rocket is fired with an initial velocity v0, but no acceleration:

In this case the only acceleration acting on the rocket is the gravitatonal acceleration pulling the rocket down, so the acceleration is:

a = -g

To get the velocity as a function of time, we should integrate:

a = -g*t + v0

To get the height as a function of time, we integrate again:

h(t) = (-g/2)*t^2 + v0*t + p0

Where p0 is the initial position of te rocket, but the rocket starts at the ground, so p0 = 0m.

The height as a function of time is:

h(t) = (-g/2)*t^2 + v0*t

This is a quadratic equation.

Answer:

B 2.5 Gal

Step-by-step explanation:

Answer:

I think the correct answer may be B.

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

=> [tex]729x^6+y^6[/tex]

=> [tex](9x^2)^3+(y^2)^3[/tex]

Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]

=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]

=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]

So, these are the two factors of the expression!

Answer: Option D

Step-by-step explanation:

Answer:

✔ D.

Step-by-step explanation:

E2021

Answer:

standard deviation

Step-by-step explanation:

A standard deviation  summary description of a fixed characteristic or measure of the target population. It denotes the true value that would be obtained if a census rather than a sample was undertaken.

Answer:

(x + 3)(x + 8)

Step-by-step explanation:

We're looking for two numbers that have a sum of 11 and product of 24; these numbers are 3 and 8 so the factored form is (x + 3)(x + 8).

Answer:

(x + 8)(x + 3)

Step-by-step explanation:

Hey there!

Well in the polynomial,

x^2+11x+24

we need to find out what*what = 24

8*3 = 24

8x + 3x = 11x

x*x = x^2

Factored (x + 8)(x + 3)

Hope this helps :)

Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction

or

[tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]

Step-by-step explanation:

Vertex form of equation : [tex]f (x) = a(x - h)^2 + k,[/tex]where (h, k) is the vertex of the parabola.

[tex]y=3(x-2)^2-(x-5)^2\\\\=3(x^2+4-4x)-(x^2+25-10x)\\\\=3x^2+12-12x-x^2-25+10x\\\\=2x^2-2x-13\\\\=2(x^2-x-\dfrac{13}{2})\\\\=2(x^2-x+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{13}{2})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{1+26}{4})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{27}{4})=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]

Hence, the vertex form of the equation is [tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]

Answer:

i got y=2(x-1/2)^2- 27/2 so the last one is right

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

[tex]Using\: A \: as\: a\: refernce\: angle ;\\Hypotenuse = 29\\Opposite =21\\Adjacent = 20\\\\Using \: SOHCAHTOA\\Sin A = \frac{Opposite}{Hypotenuse} \\\\Sin A = \frac{21}{29}[/tex]

Answer:

0.475 kg

Step-by-step explanation:

1/2 kg = 0.5 kg

125g = 0.125kg

475g = 0.475kg

grams are lighter than kg and 0.5kg,0.125g, and 0.6kg are all lighter than 0.475kg

hope this helps!

Answer:

0.6 kg

Step-by-step explanation:

The easy way to find out the answer is to bring all into same unit:

Comparing all four we see the greatest number is 600, so the answer is :

Answer:

in one month : 13676.57/12=1139.71

the interest on 100000 is: 205148.48-100000=105148.48

Step-by-step explanation:

A=P(1+r)^t   (p is the mortgage, t is the time and r is the rate)

p=100000,t=15*12 month,r=4.8%( or 0.048)

A=100000(1+0.048/12)^(12*15)

A=205148.48 (the number rounded to the nearest hundredth)

205128.48 is the amount she has to pay it after 15 years

in one year : 205128.48/15=13676.57 ( rounded to nearest hundredth)

in one month : 13676.57/12=1139.71

the interest on 100000 is: 205148.48-100000=105148.48

Answer:

4 batches

Step-by-step explanation:

1/3=2/6, 2/3=4/6

Answer:

$1.00

Step-by-step explanation:

The tax rate in Nebraska = 5.5%

Cost of the shirt before tax = $18.20

Therefore:

Tax to be paid = 5.5% of $18.20

[tex]=0.055 \times \$18.20\\=\$1.00 $(correct to the nearest cent)[/tex]

The amount you need to pay as tax is $1.00.

Answer:

x= -19

Step-by-step explanation:

3-(x-3)=25

Distributive property to cancel out the paranthesis

3-x+3=25

Add the number

6-x=25

Subtract 6 on both sides

-x=19

Divide by -1 on both sides so the x to eliminate the negative sign

x=-19

Answer:

Step-by-step explanation:

It depends on how it is written. By definition

[tex]\csc(x) = (\sin(x))^{-1} = \frac{1}{\sin(x)}[/tex]

[tex]\sec(x) = (\cos(x))^{-1} = \frac{1}{\cos(x)}[/tex]

[tex]\cot(x) = (\tan(x))^{-1} = \frac{1}{\tan(x)}[/tex]

however the functions

[tex]\sin^{-1}(x), \cos^{-1}(x), \tan^{-1}(x)[/tex] are the inverse functions of sine, cosine and tangent respectively. So, they are not equivalent functions

Answer:

1/10

Step-by-step explanation:

there are 10 cards, numbered 1 through 10, there is one "5" card. so that's 1 card out of 10 cards, therefore a 1/10the chance or a 10% chance you'll get a 5 (or any specific number)

Answer:

Hey there!

Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], because the slope (rise over run) is 2 and we see that the y intercept is 3.5.

Equation to a Line Perpendicular to FG: [tex]y=-2x-3\\[/tex], because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.

Let me know if this helps :)

Answer:

C)

Step-by-step explanation:

f(-5,1) & G(9,8)

Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                    = [tex]\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\[/tex]

                     [tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]

Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2

Equation of line in slope intercept form : y = mx + b

m = - 2

So, option c will be the equation of the line perpendicular to FG

Answer:

tan(x) is 23/28 x= the unknown angle

then multiply each side by the inverse of tan giving you x=tan^-1(23/28) which I got as 39°

Answer:

its 55

Step-by-step explanation:

45-100=55( trust me its right.)

Answer:

9/21

Step-by-step explanation:

total there are 105 candies, 60+45

45 are red so 45/105

simplified 9/21

Answer:

∠ I ≈ 60.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan I = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HG}{GI}[/tex] = [tex]\frac{7}{4}[/tex] , thus

∠ I = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60.3° ( to the nearest tenth )

the answer is 10 by root 65 so the answer is 10

Answer:

  a = 104

Step-by-step explanation:

The sum of angles around a point is 360°.

  a° +126° +a° +26° = 360°

  2a +152 = 360 . . . . collect terms, divide by °

  2a = 208 . . . . . . . .  subtract 152

  a = 104 . . . . . . . . . . divide by 2

Answer:

choose the last option .

you could check my answer using desmos graph (search on Google)

Answer:

BHF

Step-by-step explanation:

Definition of inscribed

Answer:

here you go :)

Step-by-step explanation:

You would take 20% of $22.50 (22.5 multiplied by .2). You would get $4.50 off of the book with the discount. So you would subtract 4.5 from 22.5 and get $18. Then you would take 10% of $18 for the sales tax. (18 multiplied by .1). You would get $1.80 towards sales tax. you would then add $1.80 to $18 and get $19.80.

Answer:

[tex]2^5 > 5^2[/tex]

Step-by-step explanation:

Given the expression [tex]2^5 \ 5^2[/tex], we are to complete the inequality by inserting the correct inequality signs in between the values.

Before we do that, we must know the value of each indicinal expressions.

[tex]2^5 = 2*2*2*2*2\\\\2^5 = 4*4*2\\\\2^5 = 16*2\\\\2^5 = 32[/tex]

Also,

[tex]5^{2} = 5*5\\\\5^2 = 25[/tex]

From the values gotten, we can clearly see that 32 is greater than 25. This means that 2⁵ is greater than 5². Hence the inequality sign that will complete the expression is a greater than sign (>).

The inequality will be [tex]2^5 > 5^2[/tex]

Answer:

its this

over here...

Answer:

(x + 2)^2-9

How to find answer:

Use the formula (b/2)^2 in order to complete the square.

Hope this helps :)

1.if tip included in fare, total amount paid by Angela =(55$/x) +8$

if tip is not included in fare than total amount paid by angela = (63$/x)+8$

Explanation :-

According to qus

Total friends included Angela = x

Total fare paid by them =63$

If tip included in total fare, than total fare without tip=63-8

= 55$

Sothat,

amont paid by individual =total fare /total friends. 55$/x

If tip not include in total fare than total amount paid by individual =63$/x

Answer:

10

Step-by-step explanation:

let n represent the number

sum means to add

product means multiply

n + 9 < n • 4

if you fill in 10 for your variable n you will get:

19 < 40

10 plus 9 is 19

10 by 4 is 40

and

because 19 is less than 40 that statement is true

Answer: [tex]4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}[/tex] .

Step-by-step explanation:

The given expression: [tex]\sqrt{\dfrac{16n}{m^3}}[/tex]

'

since [tex]16=4^2[/tex]

[tex]m^3=m^{2+1}= m^2\times m[/tex]   [[tex]a^{n+m}=a^n\times a^m[/tex]]

Now, the given expression becomes,

[tex]\sqrt{\dfrac{4^2n}{m^2\timesn}}=\dfrac{4\sqrt{n}}{m\sqrt{m}}[/tex]

Since there is root in denominator , so we need to rationalize

[tex]\dfrac{4\sqrt{n}}{m\sqrt{m}}\times\dfrac{\sqrt{m}}{\sqrt{m}}=\dfrac{4\sqrt{mn}}{m\times\sqrt{m}\times\sqrt{m} }\\\\=\dfrac{4\sqrt{mn}}{m\times m}\\\\=\dfrac{4\sqrt{mn}}{m^2}[/tex]

Hence, the correct option is [tex]4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}[/tex] .

Answer:

See diagram

Step-by-step explanation:

A quadrilateral becomes a parallelogram when the diagonals bisects each other at a point E and hence proves the quadrilateral is a parallelogram. It shows both pairs of opposite sides being parallel to each other.

Following the theorem that states that, if two sides of a quadrilateral are opposite and congruent, then it is a parallelogram. Ditto for the theorem that states that,  that when diagonals cuts each other at a point in a quadrilateral, then its a parallelogram.