find the height of the cliff.

Answer:

18.044

Step-by-step explanation:

hope it helps you good day if I'm wrong tell me right away I'll try it out again.

The measure of  ∠B   is 31.6 .

Trigonometric ratios are the ratios of the length of sides of a triangle.

These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

According to the question

In right angle triangle ACB

Base BC= 22.9

Perpendicular AC = 14.1

now , using trigonometric ratio

tan ∠B  = [tex]\frac{AC}{BC}[/tex]

tan ∠B  = [tex]\frac{14.1}{22.9}[/tex]

∠B  = [tex]tan^{-1} 0.615[/tex]

∠B  = 31.6

Hence, The measure of  ∠B   is 31.6 .

To know more about trigonometric ratio here:

https://brainly.com/question/25122825

#SPJ2

Answer:

5 trips

Step-by-step explanation:

The volume of bed of dump truck :

From the dimension given in the attached picture ;

Volume of bed = 4 ft * 8 ft * 6 ft = 192 ft³

This means dump truck can convey 192 ft³ of salt per trip

Number of trips required to convey 800 ft³ of salt :

800 ft³ / 192 ft³

= 4.166

= 5 trips

Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Step-by-step explanation:

Given

Quadratic Equation is  [tex]x^2-x-(2a+2)[/tex]

[tex]-4a[/tex] is the solution of the given equation

[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Answer:

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Step-by-step explanation:

A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:

[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]

[tex]x = \frac{\pi}{6}\,rad[/tex]

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Answer:

"A relative frequency distribution is a table that shows the relative frequency for all categories as shown below. Notice that the sum of the relative frequencies is always equal to 1. The percentage of a category is found by multiplying the relative frequency of that category by 100."

Credits To: statistics-made-easy.com › what-is-relative-frequency

Answer:

[tex]12 \leqslant x < 26[/tex]

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

[tex]x+y=100\\y=100-x[/tex]

Also, The bagel shop made $385.

[tex]7x+2y=385[/tex]

Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]

[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]

So,

Number of special bagel sandwiches = 37

Answer:

x=0,-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

see you have to add something that equalles 0 so any questions like this you put a negitive infront of the 7.

Answer:

a i think im sorry if wrong

Answer:

42

Step-by-step explanation:

6 x 7 = 42

Answer:

Danny does

Step-by-step explanation:

Compare the fraction of seconds, find their common denominator, then compare the nominators.

3/12, 4/12

Danny's fraction has the least nonimanator so Danny ate the fastest.

Answer:

Step-by-step explanation:

Mabye 7?

Answer:

2, 3, 5, 7

Step-by-step explanation:

They are all prime

Answer: 2,3,7,5

Step-by-step explanation:

2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself

Answer:

I think it's like this

Article -6

Description: coffee........ gunguli .

who is interested in statistics?

-karen riche at the French National institute of medical research ,whose work appears in journal neurology

who is the audience?

-7000 men's and women's in the three french cities.

what kind of decision one should make after reading this article?

reading the above article I came to acknowledge that women are only benefited as they don't metabolizes coffee in same way as men.so men should take more care and control over their coffee consumption than women.

Description: coffee........ gunguli

(in here write whole sentence I just did in short cut)

Respuesta: 3/2= 1 1/2

Answer:

1 1/2 or 1.5

Step-by-step explanation:

To divide a fraction, use the phrase, "keep, change, flip"

We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.

So 3/4 divided by 1/2 becomes:

3/4 x 2/1

= 6/4 = 1 1/2

Answer:

m= -9

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation:

hiiiiiiiii

Answer:

it is the number you are trying to solve for which would be 5

Step-by-step explanation:

Answer:

area of rectangle : 180 sq ft

area of triangle : 30 sq ft

area of entire composite figure : 210 sq. ft

Step-by-step explanation:

rectangle : 15*12= 180

triangle : 15*4=60 /2 = 30

entire : 180 + 30 = 210

Answer:

108

Step-by-step explanation:

To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism

Answer:

2.26

Step-by-step explanation:

To round our answer to nearest hundredth, we will round our answer to 2 digits after decimal. We can see that thousandth value is less than 5 that is 3, so will keep last digit 6 as: Therefore, the decimal value of our given fraction is approximately 2.26 to the nearest hundredth.

Answer: Annalise says that Philip will earn $320 more at First Bank than at GrandBank.

Step-by-step explanation:

Formula for Simple interest = Principal × Rate × Time

At GrandBank, the simple Interest will be:

= $2000 × 6% × 8

= $2000 × 0.06 × 8

= $960

At First Bank, the Simple interest will be:

= $2000 × 8% × 8

= $2000 × 0.08 × 8

= $1280

Based on the above, Philip will earn ($1280 - $960) = $320 more at First Bank.

Answer:

0..99

Step-by-step explanation: