Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $408.25 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?

Answer: 12.19 ft

Step-by-step explanation:

Given

Length of ladder is [tex]23 ft[/tex]

Angle of elevation is [tex]58^{\circ}[/tex]

Suppose the bottom of the ladder is x ft away from the bottom of the wall

from the figure, we can write

[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]

Thus, the distance is 12.19 ft

Answer:

320,000 is the answer

Step-by-step explanation:

have a good day!!

Answer:

B.x>-17

Step-by-step explanation:

1. Divide both sides by -4:

-4x/-4<68/-4

2.< will change to > since you are dividing by negative

3.your final answer will be x>-17

We know that : The Sum of the angles in a triangle should be equal to 180°

Given : The Triangle is a Right angled Triangle

It means : One of the Angle in the triangle is 90°

It means : The sum of the other two angles should be equal to 90°

Given : One acute angle is 8x + 5 and the other one is 4x + 9

⇒   8x + 5 + 4x + 9 = 90°

⇒   12x + 14 = 90°

⇒   12x = 76°

⇒   x = 6.333°

The larger angle among the acute angles is 8x + 5

⇒   8(6.333) + 5

⇒   50.67 + 5

⇒   55.67

[tex]\huge\bold{Given :}[/tex]

Angle 1 = ( 8x + 5 ) ...(i)

Angle 2 = ( 4x + 9 ) ...(ii)

Angle 3 = 90° ( ∵ it is a right-angled triangle )

[tex]\huge\bold{To\:find :}[/tex]

The value of the larger angle of the two acute angles.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\red{ A. \:55.67° .\:}}}}[/tex]. ✅

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 8x + 5 + 4x + 9 + 90° = 180°

➪ 12x + 104° = 180°

➪ 12x = 180° - 104°

➪ 12x = 76°

➪ x = [tex] \frac{76° }{12} [/tex]

➪ x = 6.333°

The value of x is 6.333°.

Now,

Substituting the value of x in eq. (i) & (ii), we have

Angle 1 = 8x + 5

= 8 x 6.333 + 5

= 50.666 + 5

= 55.67°

Angle 2 = 4x + 9

= 4 x 6.333 + 9

= 25.332 + 9

= 34.332°

Clearly, angle 1 is greater than angle 2.

Therefore, the value of the larger angle of the two acute angles is 55.67°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

The proper way to express the above inequality is 6x4(2x-1) is x2.

A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.

6x4(2x-1) is the given inequality.

So, 6x≥8x-4

6x off of both sides gives us

6x-6x≥8x-4-6x

0≥8x-6x-4

0≥2x-4

4 added on both sides give us

0+4≥2x-4+4

4≥2x

By dividing both sides by half, we obtain

(1/2)×4≥(1/2)×2x

2≥x

x≤2

Therefore, x≤2 is the correct representation.

Learn more about inequality here:

brainly.com/question/19498063

#SPJ7

Answer:

Y= -1x-1

Step-by-step explanation:

The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1

Respuesta:

31 minutos para llegar a la superficie del mar.

Explicación paso a paso:

Dado que :

Profundidad inicial = 48 m

8 metros = 1 minuto

Tiempo de parada por cada minuto de nado vertical = 5 minutos

Por lo tanto,

1 minuto = (48 - 8) = 40 metros

Tiempo de parada = 5 minutos

1 minuto = (40 - 8) = 32 metros

Tiempo de parada = 5 minutos

1 minuto = (32 - 8) = 24 m

Tiempo de parada = 5 minutos

1 minuto = (24 - 8) = 16 m

Tiempo de parada = 5 minutos

1 minuto = (16 - 8) = 8 m

Tiempo de parada = 5 minutos

1 minuto = 8 - 8 = 0 (superficie del mar)

(1 * 6) minuto + (5 * 5) minuto

6 + 25 = 31 minutos

31 minutos para llegar a la superficie.

Answer: 130 miles

Step-by-step explanation:

Given

Mai goes running Monday, Wedenesday and friday

For Monday it is 3.5 miles

For Wednesday it is 5.5 miles

For Friday it is 7.25 miles

Total distance traveled in a week

[tex]\Rightarrow 3.5+5.5+7.25\\\Rightarrow 16.25\ \text{miles}[/tex]

For 8 week it is

[tex]\Rightarrow 16.25\times 8\\\Rightarrow 130\ \text{miles}[/tex]

Answer and Step-by-step explanation:

The slope would be positive 1. (Third answer choice).

This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.

#teamtrees #PAW (Plant And Water)

Answer: Yes.

Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.

Answer:

GOD BLESS YOU

Step-by-step explanation:

Answer:

the sum of -4.82 and 4.35 = -0.47

so a is correct

the product of -4.82 and 4.35 = -20.967

so b is incorrect

the quotient of -4.82 and -4.35 is 1.10804597701

the quotient of 4.82 and 4.35 is 1.10804597701

so c is correct

if we subtract 4.35 from -4.82 we get -9.17

so d is incorrect

Hope This Helps!!!

Answer:

The answer is below

Step-by-step explanation:

The equation for a linear function is given as:

y = mx + b

where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.

a) Since A represent the total amount saved and x represents the number of months. The relationship between A and x is given by:

A = -100x + 1850

The price reduces by $100 each month, while the initial price is currently $1,850.

B) Since C represent the cost of computer and x represents the number of months. The relationship between C and x is given by:

C = 125x + 275

The price increases by $125 each month, while the initial price is currently $275.

C) To determine the amount time needed before he can buy the computer, we  use:

A = C

-100x + 1850 = 125x + 275

125x + 100x = 1850 - 275

225x = 1575

x = 7

Therefore it would take 7 months before he can buy a computer

Answer:

k

Step-by-step explanation:

Answer:

He was caught texting 36 minors.

Answer:

Step-by-step explanation:

b is correct Step-by-step explanation: i took the test

Answer:

There are 6 significant figures in the numbers 1.00421

Step-by-step explanation:

Since 1.00421 starts with 1, we count from 1 to all the numbers to the right.

Hope this help

Pls mark me brainliest.

Answer:

It should be A.

Step-by-step explanation:

Answer:

36.87

Step-by-step explanation:

Using tan inverse of 9 over 12

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )

Which equation can be used to solve a - 5 = 30

answer= a=30+5

HOPE THIS HELPS YOU......

Answer:

3pm is the answer in the 12 hour clock.

Given:

Consider the below figure attached with this equation.

Quadrilateral QRST is a parallelogram.

To find:

The value of x.

Solution:

We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.

In parallelogram QRST,

[tex]m\angle Q+m\angle T=180^\circ[/tex]

[tex](3x+5)^\circ+(9x-17)^\circ=180^\circ[/tex]

[tex](12x-12)^\circ=180^\circ[/tex]

On comparing both sides, we get

[tex]12x-12=180[/tex]

[tex]12x=180+12[/tex]

[tex]12x=192[/tex]

Divide both sides by 12.

[tex]x=\dfrac{192}{12}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.

nooooooooooooooooooooooooo

Welp… Umh okay :D

It needed more characters…

Answer:

120 minutes

Step-by-step explanation:

1/4=0.25

96x 0.25= 24

96+24=120 minutes

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Two Hours

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]96*\frac{1}{4}= 24[/tex]

⸻⸻⸻⸻

The previews should be 24 minutes.

⸻⸻⸻⸻

[tex]24 + 96 = 120[/tex]

⸻⸻⸻⸻

Jordan should stay for 120 minutes, or two hours.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

1 / 5^11

Step-by-step explanation:

5^ -6  * 5 ^ -5

We know that a^ b * a^ c = a^( b+c)

5^ ( -5+-5)

5^ -11

We also know that

a^-b = 1/ a^b

1 / 5^11

Answer:

1/5^11

Step-by-step explanation:

5^-6 * 5^-5

5^-6+(-5)

5^-6-5

5^-11

1/5^11

Note : In multiplication if the bases are same then u can add their exponent and when the base have ngative exponent just do it's reciprocal.Then u the base will have positive exponent.

Answer:

-1

Step-by-step explanation:

when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.

p.s tysm

[tex]x=2+½*\sqrt{10} [/tex]

or

[tex]x=2-½*\sqrt{10} [/tex]

Answer:

Solution given:

y=2x²-5x+6.....[1]

y=3x+3.........….[2]

solving equation 1&2

2x²-5x+6=3x+3

2x²-5x-3x+6-3=0

2x²-8x+3=0

comparing above equation with ax²+bx+c=0 we get

a=2

b=-8

c=3

by using quadratic equation

[tex]x=\frac{+8±\sqrt{(-8)²-4*2*3}}{2*2}[/tex]

[tex]x=\frac{+8±2\sqrt{10}}{4}[/tex]

taking positive

[tex]x=\frac{+8+2\sqrt{10}}{4}[/tex]

[tex]x=2+½*\sqrt{10} [/tex]

taking negative

[tex]x=2-½*\sqrt{10} [/tex]

Equate

Solve for x

Answer:

-0.66

Step-by-step explanation:

use the calculator

Answer:

B.) 33°

Step-by-step explanation:

The size of x in degrees is 33°.

If you bisect P from center O, you can create a right triangle and use the triangle sum rule to find ½ the measure of x°.

Answer:

x=23/50

Step-by-step explanation:

Answer:

0.46

Step-by-step explanation:

Divide 5400 by 54 to get rid of it from the right side.

You will get 100=100x+54

Then subtract 54 from 100.

46=100x

Lastly, divide your number by 100 to get x.