Hi, need help with solving this logarithm.​

Answer:

The angle is approximately 81 degrees. Since the person's eyes are 4 feet above the ground level, and the top of the building is 190 feet tall, the vertical distance between the person's eyes and the top of the building is 190-4=186 feet. The horizontal distance is 30 feet, since the person is standing at the end of the shadow. Therefore tan(angle)=186/30, the angle is equal to arctan(186/30)=81, approximately.

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

If you look at the bottom of the triangle, then you will see that ∠B equals ∠B', and ∠C equals ∠C'. Between them, BC = BC'.

Hope that this helps!

Answer:

its 100°

Step-by-step explanation:

The sum of the angles in a pentagon equal 540 degrees.

so

the fifth angle is

= (540 - 50 - 110 - 120 -160)°

= 100°

hope it helps :)

Answer:

Width=85. Length=185. Area=15,725

Step-by-step explanation:

540/2=270, which is the sum of length+width.

270-15=255, so what's left is width+width+width.

255/3=85.

85*2=170

170+15=185

85*185=15,725

Answer:

[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]

(see explanation)

Step-by-step explanation:

This problem is asking about compound probability, what is the probability of this even happening three times in a row.

Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,

[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]

In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.

[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]

Simplify,

[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]

[tex]\frac{9}{78}[/tex]

Answer:

they all seem right to me g!

Step-by-step explanation:

Answer:

oh no

Step-by-step explanation:

sorry about that I guess

Answer:

Equation would be: y = [tex]\frac{4}{7} x + 4[/tex]

Hope this helps!

Answer:

The interest generated will be $ 51.20.

Step-by-step explanation:

To determine the compound interest on the account with 0.01% interest rate in 5 years compounded quarterly with an initial deposit of $ 1,000, the following calculation must be performed:

1,000 x (1 + 0.01 / 4) ^ 4x5 = X

1,000 x (1 + 0.0025) ^ 20 = X

1,000 x 1.0025 ^ 20 = X

1,000 x 1.05120 = X

1,051.20 = X

1,051.20 - 1,000 = 51.20

Therefore, the interest generated will be $ 51.20.

Answer:

C, 0.30

Step-by-step explanation:

First, simplify.

[tex]\frac{15}{50}[/tex] = [tex]\frac{3}{10}[/tex]

Next, divide

3 ÷ 10 = 0.30 or 0.3

Have a great day!

Answer:

Step-by-step explanation:

Given that:

To Find:

We know that:

Where,

Finding the probability that a car arriving at this intersection will not fully stop:

⟶ P(E) = 15/50

Multiply by 2 with both numerator and denominator.

⟶ P(E) = (15 × 2)/(50 × 2)

⟶ P(E) = 30/100

⟶ P(E) = 0.30

Hence,

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft  ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

Answer:

[tex] \frac{1}{40} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{625} }{1000} = \frac{ \sqrt{5 \times 5 \times 5 \times 5} }{1000} = \frac{5 \times 5}{1000} = \frac{25}{1000} [/tex]

Reducing the fraction will give -

[tex] \frac{25}{1000} = \frac{25}{25 \times 40} = \frac{1}{40} [/tex]

Answer:

r=5

Step-by-step explanation:

r³=125

=r⁵=125

=5x5x5

=125

Answer: R is 5

Step-by-step explanation:

5•5•5=125

Answer:

4f^2-11

Step-by-step explanation:

Answer:

Descends

Step-by-step explanation:

The word descends indicates that a negative integer should be used, because it indicates a downward motion.

Answer:

cos 24 =x/17

cross multiply

cos 24 × 17=x

0.913 × 17 =x

0.669=x

x = 0.669

Answer:

y=3/4

Step-by-step explanation:

4x/3 = x/y

or, 1/y= 4/3

or, y=3/4

Answer:

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

Step-by-step explanation:

Express the ratios in fractional form

[tex]\frac{x}{y}[/tex] = [tex]\frac{4x}{3}[/tex] ( cross- multiply )

4xy = 3x ( divide both sides by 4x )

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

Answer:

Its D

Step-by-step explanation:

All the other answers doesn't make sense and cells is what makes up your body

Your answer is going to be d

Answer:

452

Step-by-step explanation:

Have a Wonderful day

Answer:

The probability is 0.6796

Step-by-step explanation:

Given

Population Mean - 100

Population Standard Deviation - 25

As we know

z = x-μ/σ, where:

z is the standard score

x is the raw score  

μ is the population mean

σ is the population standard deviation

Z value for mean of sample = 95

z1 = -100+95/25 = -5/25 = -0.2

P value for Z = -0.2 is 0.2912

Z2 = 100-105/25 = 0.2

P(z > 0.2 = 1 - P(z ≤ 0.2) = 1 - 0.0294 = 0.9706

P(-0.2 < z < 0.2) = 0.9706 - 0.2912= 0.6796

The probability is 0.6796

Answer:

Solution given:

base of triangle [b]=10in

height of triangle [h]=12in

length of rectangle [l]=18in

Now

Volume =area of triangle *length=½(10*12)*18

=1080in³

Volume is 1080 cubic inch.

[tex]\huge{ \mathcal{  \underline{ Answer }\:  \:  ✓ }}[/tex]

In the given figure :

[tex] \boxed{ \mathrm{Volume = \dfrac{1}{2} \times 10 \times 12 \times 18}}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

please complete the question so we can help you out!! :)

Answer:3×x=15

x=15÷3.

X=5

answer is 5 because 15 divided by 3 is 5 3×5=15

Answer:

X is 5

Step-by-step explanation:

3×X=15

x=15÷3

x=5

Answer:

Hi rei its cam

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

Answer:

A. 2x6+4

Step-by-step explanation:

It is really the only one that works, there are two rows of 6 with 4 extra

Given:

[tex]\alpha, \beta, \gamma[/tex] are three interior angles of any triangle.

To prove:

[tex]\cos (\alpha+\beta+\gamma)=-1[/tex]

Solution:

According to the angle sum property of a triangle, the sum of all three interior angle of a triangle is always 180 degrees.

It is given that, [tex]\alpha, \beta, \gamma[/tex] are three interior angles of any triangle.

Using the angle sum property of triangles, we get

[tex]\alpha+\beta+\gamma =180^\circ[/tex]              ...(i)

We need to prove,

[tex]\cos (\alpha+\beta+\gamma)=-1[/tex]

Taking LHS, we get

[tex]LHS=\cos (\alpha+\beta+\gamma)[/tex]

[tex]LHS=\cos (180^\circ)[/tex]                [Using (i)]

[tex]LHS=-1[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

9514 1404 393

Answer:

  θC = π/4

Step-by-step explanation:

To find the desired angle, subtract multiplies of 2π until the angle is in the desired range.

  9π/4 -2π = (9-8)π/4 = π/4

The angle θC = π/4 is coterminal with θ = 9π/4.

Answer:

[tex]a =22[/tex]

[tex]b = 11[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find a and b

Using cosine formula, we have:

[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]

So, we have:

[tex]\cos (30) = \frac{11\sqrt 3}{a}[/tex]

Make a the subject

[tex]a = \frac{11\sqrt 3}{\cos (30)}[/tex]

[tex]\cos(30) = \frac{\sqrt 3}{2}[/tex]

So, we have:

[tex]a = \frac{11\sqrt 3}{\frac{\sqrt 3}{2}}[/tex]

Rewrite as:

[tex]a = 11\sqrt 3 \div \frac{\sqrt 3}{2}[/tex]

This gives:

[tex]a = 11\sqrt 3 * \frac{2}{\sqrt 3}[/tex]

[tex]a = 11 * 2[/tex]

[tex]a =22[/tex]

To solve for b, we use Pythagoras theorem

[tex]a^2 = b^2 + (11\sqrt 3)^2[/tex]

[tex]22^2 = b^2 + (11\sqrt 3)^2[/tex]

[tex]484 = b^2 + 363[/tex]

Collect like terms

[tex]b^2 = 484 - 363[/tex]

[tex]b^2 = 121[/tex]

Take positive square roots

[tex]b = \sqrt {121[/tex]

[tex]b = 11[/tex]

Answer:

Angle 1: 45

Angle 2: 90

Segment AC: 10

Segment AD: 7.1