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3 years ago

Is this correct? formula is displayed on image:

Mathematics

2 answers:

Len [333]3 years ago

7 0

Answer:

no it should bee

$\tan( \alpha ) = \frac{15}{8}$

Damm [24]3 years ago

5 0

Answer:

x = 15

Step-by-step explanation:

The angle between a tangent and a radius at the point of contact F is 90°

Then Δ GFE is a right triangle

Using Pythagoras identity in the right triangle

x² + 8² = 17²

x² + 64 = 289 ( subtract 64 from both sides )

x² = 225 ( take the square root of both sides )

x = $\sqrt{225}$ = 15

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If f(x) = 5x2 − 2x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints. R6 =

Leona [35]

Answer:

46.375

Step-by-step explanation:

Given information:

$f(x)=5x^2-2x$

where, 0 ≤ x ≤ 3.

We need to divde the interval [0,3] in 6 equal parts.

The length of each sub interval is

$\dfrac{b-a}{n}=\dfrac{3-0}{6}=0.5$

Right end points are 0.5, 1, 1.5, 2, 2.5, 3.

The value function on each right end point are

$f(0.5)=5(0.5)^2-2(0.5)=0.25$

$f(1)=5(1)^2-2(1)=3$

$f(1.5)=5(1.5)^2-2(1.5)=8.25$

$f(2)=5(2)^2-2(2)=16$

$f(2.5)=5(2.5)^2-2(2.5)=26.25$

$f(3)=5(3)^2-2(3)=39$

Riemann sum:

$\sum_{n=1}^6 f(x_n)\Delta x_n$

$Sum=[f(0.5)+f(1)+f(1.5)+f(2)+f(2.5)+f(3)]\times 0.5$

$Sum=[0.25+3+8.25+16+26.25+39]\times 0.5$

$Sum=92.75\times 0.5$

$Sum=46.375$

Therefore, the Riemann sum with n = 6 is 46.375.

6 0

3 years ago

the markup on a restaurant meal is 250%. a meal cost $7.30 to produce. how much will the customer be charged before tax and tip?

Eduardwww [97]

The cost of the meal would be $18.25. You can find this answer by multiplying 7.30 by 2.5, since the decimal form of 250% is 2.5.

6 0

3 years ago

Rewrite the expression with rational exponents as a radical expression.

nexus9112 [7]

Answer:

If the expression is $4x^\frac{3}{7}$ , then the answer is the first option.

If the expression is $(4x)^\frac{3}{7}$ , then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form $\sqrt[n]{x}$ , you can rewrite as:

$=x^\frac{1}{n}$

Then:

- If the expression is $4x^\frac{3}{7}$ , then you can rewrite it in the following radical form:

$=4\sqrt[7]{x^3}$ (This form matches with the first option.)

- If the expression is $(4x)^\frac{3}{7}$ , then you can rewrite it in the following radical form:

$=\sqrt[7]{(4x)^3}$ (This form matches with the third option).

7 0

3 years ago

Read 2 more answers

Functions and Transformations

DaniilM [7]

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

6 0

2 years ago

Only two full boxes and a box that was 75% full. Create a written expression

Alona [7]

Answer:

2( 100%) +75%

Step-by-step explanation:

a full box will literally be 100%, so two full boxes will be 2 × a full ie 100%, 'and' a box ie 75% full is addition '+'

5 0

3 years ago