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3 years ago

$#4 Find the value of x. Round answer to nearest tenth.

Mathematics

1 answer:

shusha [124]3 years ago

5 0

Answer:

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is x

With m∠54 as the reference angle,

The unknown is the adjacent side of the right angle triangle.

The opposite side of the right angle triangle is 19

To determine x, we would apply the Sine trigonometric ratio.

Sine θ = opposite side/hypotenuse. Therefore,

Sin 54 = 19/x

x = 19/Sin54 = 19/0.809

x = 23.5 to the nearest tenth.

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If f(x) is an exponential function where f(-1.5) 26 and

mariarad [96]

Answer:

$f(10) = 1147.25$

Step-by-step explanation:

Given

$f(-1.5) = 26$

$f(5.5) = 7$

Required

f(10)

An exponential function is represented as:

$f(x) = ab^x$

$f(-1.5) = 26$ impleies that:

$26 = ab^{-1.5}$ --- (1)

$f(5.5) = 7$ implies that

$7 = ab^{5.5}$ --- (2)

Divide (2) by (1)

$26/7 = ab^{-1.5}/ab^{5.5}$

$3.71429 = b^{-1.5+5.5}$

$3.71429 = b^{4}$

Take 4th root

$b = 1.39$

Substitute $b = 1.39$ in $26 = ab^{-1.5}$

$26 = a * 1.39^{-1.5}$

$26 = a * 0.6102$

Solve for (a)

$a = 26/0.6102$

$a = 42.61$

f(10) is calculated as:

$f(10) = ab^{10}$

$f(10) = 42.61 * 1.39^{10}$

$f(10) = 1147.25$

3 0

2 years ago

Elsa's magic wand can cast 53 spells. Her wand can cast 17fewer spells than her sister Anna's wand, which is a little bigger and

Mademuasel [1]

Answer:

Anna's wand can cast 70 spells

Step-by-step explanation:

Elsa's wand can cast 53 spells

her wand casts 17 fewer cells than her sister Anna's

Amount of spells cast by Anna's wand = ?

We write the question down in the form of an equation

$x - 17 = 53$

where $x$ is the amount of spells Anna's wand can cast.

we then proceed to solve by collecting like terms to different sides of the equation. We'll have

$x = 53 + 17$

which leaves us with

$x = 70$

This means that Anna's wand can cast 70 spells.

4 0

3 years ago

In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to

brilliants [131]

If he got 5 points in the first round and he needed at least thirty he would score 9 points in the next three rounds

8 0

2 years ago

Cameron needs to order some new supplies for the restaurant where he works. The

zvonat [6]

Answer:

598=194+8x

Step-by-step explanation:

To solve you would subtract 194 from its self and 598

598=194+8x

-194 -194

404=8x

then you would divide 8 from it's self and 404

which would make it 50.5

(but you cant buy half a package of spoons so realistically it'd be 50 or 51.

hope this helped :)

6 0

2 years ago

Read 2 more answers

F(x)=4x-3 g(x)=x^3+2x find (f-g)(4)

Roman55 [17]

((f-g)(4) means f(4) - g(4).)im pretty sure the answer -59

5 0

2 years ago