Solve (1/5)^x+3 = 125^2x-36 for x without using logarithms.

We need to simpify the given expression. The given expression to us is ,

Given Expression :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]

Using Identity :-

[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]

So that :-

[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]

We have :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]

Hence the required answer is -1/4.

Answer:

157

Step-by-step explanation:

I actually forgot the rules as to why it is, but you can clearly see that they are identical to each other!

Answer:

1 and -3

Step-by-step explanation:

To solve for the roots (x-1)(x+3) set x-1 to = 0 and solve for x. Same thing for x+3.

Answer:

1, and -3

Step-by-step explanation:

So when looking for roots, we take our quadratic equation that is in factored form, and set each partheasese to 0:

x-1=0 and x+3=0

Now just subtract and add the -1 and +3 to both sides:

x=1 and x=-3

These are your 2 answers for the quadratic.

Hope this helps!

Answer:

A. 50, 48, 14.

Step-by-step explanation:

The measurements of a right triangle have to satisfy the Pythagorean Theorem, or a² + b² = c².

a² + b² = c²

14² + 48² = 50²

196 + 2304 = 2500

2500 = 2500

So the first answer, 50, 48, 14, could be the measurements of a right triangle.

Answer:

The temperature in degrees Celsius is 165

Step-by-step explanation:

As given

The conversion formula of Fahrenheit to Celsius is

(°F − 32) × 5/9 = °C

Where

F = temperature in Fahrenheit

Substituting the given values, we get -

[tex](329 -32)*\frac{5}{9} \\297 * \frac{5}{9}\\33*5\\165[/tex]

The temperature in degrees Celsius is 165

Answer:

3 to the power of 3. Answer : 27.

this is the equation right: (4-1) ^ 5-2

Step-by-step explanation:

Answer:

The two hypotenuses.

Step-by-step explanation:

HL or Hypotenuse-Leg Theorem: two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Since we already know the bottom leg of each triangle is congruent, we only need to know the two hypotenuses.

Answer:

AB=ED

Step-by-step explanation:

Answer:

distributive

Step-by-step explanation:

you are distributing 5(d+1) into 5d +5

Answer:

50.27

Step-by-step explanation:

remember that the circumference of a circle is 2πr

so 3.15x8 and then multiply by two

Answer:

200.96 ft²

Step-by-step explanation:

Step 1: Define/formula

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]a=\pi r^2(3.14*radius*radius)[/tex]

Step 2: Solve

According to the word problem, the radius is 8.

From here, we plug the numbers into the formula.

[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]

Step 3: Conclude

Therefore, the area of this circle is 200.96 ft.²

Answer:

Step-by-step explanation:

length of Legs of the right angle triangle = 22 (unit) and 26 (unit)

To find the length of hypotenuse of the right angle triangle, we have to use Pythagoras property

Lets keep hypotenuse as "h" and one leg as  "a" and another as "b"

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]h^{2}[/tex]

[tex]22^{2}[/tex] + [tex]26^{2}[/tex] = [tex]h^{2}[/tex]

484 + 676 = [tex]h^{2}[/tex]

[tex]h^{2}[/tex] = 1,160

h = [tex]\sqrt{1,160}[/tex]

h = 34.05 (unit)

Answer:

X=2 and y=5

Step-by-step explanation:

2 represent x-value and 5 represent y- value

Answer:

C. 15.7 feet

Step-by-step explanation:

9/cos(55 deg)=

15.691.

round it up, and the length of the beam is 15.7 feet.

The length of the beam is 15.7 foot.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

A beam rests against a wall, forming a angle with the floor = 55 degree

The function is y = 9 secθ

The length of the beam is

⇒ [tex]y = 9 sec\theta[/tex]

⇒ [tex]y = 9 sec55[/tex]

we know that secθ = 1/cosθ

⇒ [tex]y = 9 (\frac{1}{cos55})[/tex]    

⇒ [tex]y=15.69[/tex]

⇒ [tex]y=15.7[/tex]

Hence we can conclude that the length of the beam is 15.7 foot.

Learn more about trigonometry here

https://brainly.com/question/16965914

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Answer:

well it stopped on the 8 intercept means stop or cut off so

Step-by-step explanation:

i's say 8

Answer:

5.8 cups of flours

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

15^2 = 9^2 + x^2

x^2 = 15^2 -9^2

x^2 = 225-81

x^2 = 144

x = 12

Answer:

Square

Step-by-step explanation:

Area of triangle = 1/2 * b * h

= 1/2 * 15 * 25

= 187.5 ft²

Area of square = side * side

= 14 * 14

= 196 ft²

Comparing both areas, it is clear that square have a larger area.

Answer:

1.  49 students

2. 31 students

3. 40 students

4. 18/49 (37%)

5. 37/49 (75%)

6. 5/49 (10%) (unless its ONLY skiing and ice skating)

Step-by-step explanation:

Can i have the situations?

Someone interviewing the art club at a school to see how many students are going to the art festival.

The art club students are already interested in art, and there is a great chance they will all go, or will all be interested. In order to have an unbiased sample, they could ask every third student that walks through the front doors.

Hope this helped!

Answer:

= 22 units

Step-by-step explanation:

Well, QS and RT are equal, so...

5x-3=3x+7

-3x -3x

2x-3=7

+3 +3

2x=10

÷2 ÷2

x=5

...and to find a side length...

3x+7=15+7=22

= 22 units

Answer:

I need this tooo, did u find it??

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think it is 72

Answer:

[tex]\overline {DE} \parallel \overline{AB}[/tex] because [tex]\frac{EC}{DC} = \frac{AC}{BC}[/tex].

Step-by-step explanation:

According to the Theorem of Thales and definition of proportionality, [tex]\overline {DE} \parallel \overline{AB}[/tex] if and only if [tex]\frac{EC}{DC} = \frac{AC}{BC}[/tex]. If we know that [tex]EC = 15\,cm[/tex], [tex]DC = 20\,cm[/tex], [tex]BC = 36\,cm[/tex] and [tex]AC = 27\,cm[/tex], then we have the following result:

[tex]\frac{15\,cm}{20\,cm} = \frac{27\,cm}{36\,cm}[/tex]

[tex]\frac{3}{4} = \frac{3}{4}[/tex]

Hence, [tex]\overline {DE} \parallel \overline{AB}[/tex].

Answer:

I think you forgot to include the dot plot

Step-by-step explanation:

I will attempt to help but I need the dot plot

Answer:

fish

Step-by-step explanation:

fish

Answer:

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

hope it helps

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