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Studentka2010 [4]
2 years ago
6

A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure. The r

atio of to is equal to tan B.
Mathematics
2 answers:
puteri [66]2 years ago
5 0
Your answer is sin b and cos b 

SCORPION-xisa [38]2 years ago
3 0

In the given question, it is given that

ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.

And we have to find the value of tan B.

And tangent of any angle is equal to the ratio of vertical by horizontal. That is

tan B = \frac{8}{15}

And that's the required missing ratio for tan B .


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What is the value of h in the figure below? In this diagram BAD~CBD
liberstina [14]

Answer:

The correct option is E. 8

The value of h is 8 unit.

Step-by-step explanation:

Given:

Δ BAD ~ Δ CBD

AC = 20

DC = 4

∴ AD = AC - DC=20-4=16

To Find:

h = ?

Solution:

Δ BAD ~ Δ CBD      ................Given

If two triangles are similar then their sides are in proportion.

\frac{BD}{CD} =\frac{AD}{BD} =\frac{BA}{CB}\ \textrm{corresponding sides of similar triangles are in proportion}\\  

On substituting the given values we get

\dfrac{BD}{CD} =\dfrac{AD}{BD}

\dfrac{h}{4} =\dfrac{16}{h}\\\therefore h^{2}=64\\\therefore h=8\ unit

The value of h is 8 unit.

8 0
2 years ago
Read 2 more answers
What is the constant of the polynomial 2x3 - 8x2 + 3x - 7
Firlakuza [10]

Answer:

-7

Step-by-step explanation:

A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.

8 0
2 years ago
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18pi meters. Wh
ella [17]

Answer

Circumference(C) of a circle is given by:

C = 2\pi r

where r is the radius and value of \pi = 3.14

As per the given statement:

A building engineer analyzes a concrete column with a circular cross section.

The circumference of the column is 18 \pi meters.

then;

18 \pi= 2\pi r

Divide both sides by 2 \pi we have;

9 = r

or

r = 9 meters

We have to find the area of the cross section of the column

Area of a circle is given by:

A = \pi r^2

then;

A = \pi \cdot 9^2 = 81 \pi meter square.

therefore, the area A of the cross section of the column is 81 \pi meter square.

3 0
2 years ago
Read 2 more answers
to eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? first equat
Mazyrski [523]

Answer: The first equation should be multiplied by 9 and the second equation by −4, to eliminate the y-terms and solve for x in the fewest steps.


Step-by-step explanation:

Given : Equation (1) 5x − 4y = 28

Equation (2) 3x - 9y = 30

to eliminate the y-terms and solve for x in the fewest steps, we should multiply  equation (1) by 9 and equation (2) by -4 such that

9(5x − 4y) =9 (28)⇒45x-36y=252

-4(3x - 9y) = -4(30)⇒ -12x+36y= -120

Now adding both equations, y-term eliminated and we get, 45x-12x=132

⇒33x=132⇒x=4.

8 0
2 years ago
Read 2 more answers
Mikela claims that the sum of any two numbers is greater than the larger of the two numbers. Jim claims that the sum of any two
qaws [65]

<u>ANSWER:  </u>

The statement of Jim is correct

<u>SOLUTION:  </u>

Given statements are  

Mikela claims that sum of any two numbers is greater than the larger of the two numbers.  

Jim claims that the sum of any two natural numbers is greater than the larger of the two numbers.

Let a,b be the two numbers and a is the greatest of a and b

According to the mikela statement = a + b > a

b > a – a

b > 0

Here, we got an condition that b > 0, but it may not be true always.  

Above condition fails when b is either 0 or negative number.  

Jim - sum of any two natural numbers is greater than the larger of the two numbers.

Let a,b be the two natural numbers. And a is the greatest of a and b

According to the jim statement  =  a + b > a

b > a – a

b > 0

Here, we got an condition that b > 0,

And this statement will always be true because b is an natural number, so it will be greater than 0.

Hence jim’s statement is true.  

8 0
2 years ago
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