use the ratio of a 30-60-90 triangle to solve for the variables.​

Answer:

Please check explanations

Step-by-step explanation:

Given the factored form, all we have to do is to equate each of the factor to zero, then solve for x

The particular value of x represents the solution that shows the value of the x-intercept

for example

In a case of a quadratic equation where we have

(x-a)(x-b) = 0

Then we can have

(x-a) = 0 or ((x-b) = 0

Then we have x = a or x = b

a and b are the x intercepts in this case

Answer:

There is a percentage increase of 77.1% in savings

Step-by-step explanation:

The answer can be determined by assigning a value to the income of Mr Brown.

Let Mr. Brown's initial income = 100

Percentage spent = 65%

Amount spent = 100 x 0.65 = 65

Percentage he saves = 100 - 65% = 35%

Amount he saves = 100 x 0.35 = 35

Salary after increase = 1.40 x 100 = 140

Increase in expenses = 1.2 x 65 = 78

Amount saved after increase in income = 140 - 78 = 62

Percentage increase = (new amount saved / previous amount saved) - 1

Percentage increase = (62 / 35) - 1 = 0.771 = 77.1%

Given:

Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces.

To find:

The expressions that can you use to find the length of each piece.

Solution:

It is given that Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces. It means [tex]\dfrac{2}{3}[/tex] is divided in 3 equal parts.

[tex]\dfrac{2}{3}\div 3[/tex]

It can be written as:

[tex]\dfrac{2}{3}\div 3=\dfrac{2}{3}\times \dfrac{1}{3}[/tex]

[tex]\dfrac{2}{3}\div 3=\dfrac{2}{9}[/tex]

Therefore, the required expression is [tex]\dfrac{2}{3}\div 3[/tex] and the length of each piece is [tex]\dfrac{2}{9}[/tex] yards.

Answer:

a and c

Step-by-step explanation:

Answer:

c not all complex are imaginary

but all imaginary are complex

please brainlist

Answer:

C is False

Step-by-step explanation:

A complex number is represented by

[tex]z = a + bi[/tex]

A imaginary number is represented by

[tex]z = bi[/tex]

A complex number could include a real number so it cant be a pure imaginary number so C is False.

Answer:

read explanation

Step-by-step explanation:

since y=2/5x-3 we substitute x=10 in making it y=2/5*10-3

following PAMDAS we do multiplication first so 2/5*10=4.

so y=4-3 and then we subtract and get y=1. Hope this helps:> if you need more explanation message me. If not give this a heart for helping. Good luck.

Answer:

"The range of the function is all real numbers less than or equal to 9."

Step-by-step explanation:

For this question the domain is (-∞,∞)

The range is all numbers less than 9 (the y-coordinate of the vertex)

The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)

Therefore the answer is "The range of the function is all real numbers less than or equal to 9."

Answer:

From the figure, we´ll use the ratio of sin74

sin74=x/16

x=16/sin74

x=16.64

OAmalOHopeO

Answer:

52.8988%

Step-by-step explanation:

Add the bach degrees together and divide it by the total number of degrees

Answer:

a) x is less than or equal to −2/3

b) x=1

 Step-by-step explanation:

Answer:

WRS and VRT are vertical angles

Step-by-step explanation:

Vertical angles are formed by the same lines and share a vertex

WRS and VRT are vertical angles

Answer:

(3,6)

Step-by-step explanation:

-2x+3y=12

Let x = 3

-2(3) +3y = 12

-6+3y = 12

Add 6 to each side

-6+6 +3y = 12+6

3y = 18

Divide each side by 3

3y/3 = 18/3

y = 6

Answer:

is this in the euler student problem question?

Step-by-step explanation

Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

Answer:b /13

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the mean is 98, then 104 is only standard deviation away. If we are looking for the values less than this, we have the areas under the normal curve of 34%, 34%, 13.5%, 2.35%, .15% which add to 84%, or as a decimal, .84, choice C.

The z-score of the normal distribution P ( x ≤ 104 ) = 0.84

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the z-score of the distribution be z

And , the mean be μ = 98

And , the standard deviation be σ = 6

where z = (x - μ)/σ

So , P ( x ≤ 104 ) = [ P ( x - 98/6 ) ≤ 104 - 98 / 6 ) ]

On further simplification , we get

P ( x ≤ 104 ) = P ( x ≤ 1 )

Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than 1 is approximately 0.8413. Therefore, the probability of x being less than 104 is approximately:

P(x < 104) = P(z < 1) ≈ 0.8413

So there is approximately an 84.13% chance that a value selected at random from this normal distribution will be less than 104

Hence , the probability is 0.84

To learn more about z-score click :

https://brainly.com/question/25638875

#SPJ7

Answer:

x=12

Step-by-step explanation:

im not 100% but i think you would get the answer by setting the equations equal to one another.

4x+6=2x+30

2x=24

x=12

Answer:

y<3

x+y≥1

This is the system of inequalities which will give you the result shown in the graph

Answered by GAUTHMATH

Answer:

2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{12}[/tex]

= [tex]\sqrt{4(3)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]

= 2[tex]\sqrt{3}[/tex]

Answer:

502.4 m³.

Step-by-step explanation:

Formula: πr²h

4² = 16 x 10 = 160

160 x 3.14 (about π) ≈ 502.4 m³.

Hope this helps.

If there is something wrong, please let me know.

Answer:

160[tex]\pi[/tex] or

500[tex]m^{3}[/tex]

Step-by-step explanation:

[tex]\pi[/tex] x [tex]4^{2}[/tex] x 10 = 160[tex]\pi[/tex] or 500[tex]m^{3}[/tex]

Answer:x=35.6

Step-by-step explanation:

look at the left triangle. I hope you're familiar with SOH, CAH and TOA.

sin 60°=O/(11√7)

so O= (11√7)sin 60°

now look at the triangle on the right.

cos 45=adjacent/x

cos 45=[(11√7)sin60°]/x

therefore, using ur calculator, you'll get x= [(11√7)sin60°]/cos 45

x=35.64407384

Answer:

$196.

Step-by-step explanation:

Multiply the hours (h) by amount per hour (a) (h*a), 28*7 and you will get her total earnings, $196.

Answer:

$196

Step-by-step explanation:

28 hours and $7 per hour so you do 28x7 which equals 196.

Answer:

Use photo math

Step-by-step explanation:

its easier

Answer:

The answer is 8.

Step-by-step explanation:

Hope it will help you

Answer:

-22x + 88

Step-by-step explanation:

Simplify it into (-11/2x+3) + (11/4x-5)

Multiply by LCM (2x+3)(4x-5)

You will get -11(4x-5) + 11(2x+3)

Simplify it to -44x+55 + 22x + 33

Simplify it to -22x + 88

Answer:

10 meters

Step-by-step explanation:

The given function [tex]h(t)=-2t^2+8t+10[/tex] represents the height, [tex]h[/tex], in meters, [tex]t[/tex] seconds after the ball is thrown.

Since the ball is thrown off the roof, then ball's height will be equal to the roof's height before being thrown (0 seconds). Therefore, substitute [tex]t=0[/tex] into the given function [tex]h(t)=-2t^2+8t+10[/tex]:

[tex]h(0)=-2(0^2)+8(0)+10,\\h(0)=0+0+10,\\h(0)=\boxed{10\text{ meters}}[/tex]

Therefore, the building is 10 meters tall.

Answer:

A (First One)

Step-by-step explanation:

Side AC Is Congruent By Side DF

Side CB Is Congruent By Side FE

Side AB Is Congruent By Side DE

(There's no angles shown so it can't be the second option.)

The diagram has lines on the sides, if it we're SAS then the triangle would have an angle.

Answer:

ΔABC≅ΔDEF by SSS Postulate

Step-by-step explanation:

Hi there!

We are given 2 triangles

And we want to prove them congruent

You may notice that AC and FD have the same tick markings, AB and ED have the same tick markings, and CB and FE have the same tick markings

This means that those sides are congruent

In other words,

AC≅FD

AB≅DE

CB≅FE

If we have 3 pairs of congruent sides, that is enough for one concurrency postulate called side-side-side (SSS), which states that if 3 sides of a triangle are congruent to 3 sides in another triangle, then those triangles are congruent

So the triangles are congruent, but we need to put their vertices in the correct order

So if we make the name of the first triangle ABC, then we need to find the corresponding vertices in the second triangle

So let's find those vertices

D is corresponding to A, as they are both in between line segments that have 1 and 2 tick markings on them

E is corresponding to B, as they are both between line segments that have 2 and 3 tick markings on them

And finally, F is corresponding to C, as they are both between line segments that have 1 and 3 tick markings on them

So the name of the second triangle is DEF

ΔABC≅ΔDEF by SSS Posulate

Hope this helps!

Answer:

The sinusoidal function that represent the height of the water level, is presented as follows;

[tex]g(t) = 4 \cdot sin \left(\dfrac{\pi}{6} \cdot t \right)[/tex]

Where;

t = The number of hours since the water height was the average sea level height

The graph of g(t) showing the points where g(t) = The average see level, created with MS Excel is attached

Step-by-step explanation:

Answer:

put a dot on points

(0,0)

(0,6)

(0,12)

Step-by-step explanation:

Answer:

x = 17.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 25 = x /41

41 sin 25 = x

17.32734=x

Rounding to the tenths place

x = 17.3

We have to find,

The required value of x.

Now we can,

Use the trigonometric functions.

→ Sin(θ) = opp/hyp

Let's find the required value of x,

→ Sin (θ) = opp/hyp

→ Sin (25) = x/41

→ x = 41 × Sin (25)

→ x = 41 × 0.42262

→ x = 17.32734

→ [x = 17.3]

Hence, option (c) is the solution.