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3 years ago

Round to the nearest hundredth 5.0927

Mathematics

2 answers:

vitfil [10]3 years ago

8 0

Answer:

5.09

Step-by-step explanation:

Lyrx [107]3 years ago

8 0

Answer:

5.09

Step-by-step explanation:

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What are the x and the y in this function

Marianna [84]

Answer:

X = 3

Y = all real numbers

Step-by-step explanation:

x is the input

y is the output

The equation would be x = 3

7 0

2 years ago

A children's slide has a length of 5.8m. The vertical ladder is 2.6m above the groubd. Find the angle the slide makes with the g

Elodia [21]

Answer

26.6°

Explanation

You are required to use the trigonometric ratio, sine, to find that angle.

SinФ = opposite/hypotenuse

sin Θ = 2.6/5.8

= 0.4483

The angle Θ = Anti-sine(0.4483)

= 26.633°

The angle the slide makes with the ground, correct to one decimal place is 26.6°

8 0

3 years ago

Read 2 more answers

What is 8 3/4 ÷ 2 7/8 (show ur work)

xxMikexx [17]

Answer:

see below:-

Step-by-step explanation:

$\displaystyle{8 \frac{3}{4} \div 2 \frac{7}{8} }$

Convert the mixed fractions into improper fractions.

$\displaystyle{ \frac{8 \times 4 + 3}{4} \div \frac{8 \times 2 + 7}{8} }$

$\displaystyle{ \frac{32 + 3}{4} \div \frac{16 + 7}{8} }$

$\displaystyle{ \frac{35}{4} \div \frac{23}{8} }$

$\displaystyle{ \frac{35}{4} \times \frac{8}{23} }$

$\displaystyle{ \frac{35}{ \cancel4} \times \frac{ \cancel8 {}^{2} }{23} }$

$\displaystyle{ \frac{35 \times 2}{23} }$

$\displaystyle{ \frac{70}{23} }$

$\displaystyle{3 \frac{1}{23} }$

6 0

2 years ago

Read 2 more answers

(5x - 4) - (10x - 3)

nikdorinn [45]

Answer:

the correct answer is -5x - 1

7 0

3 years ago

A right triangle has legs of 18 inches and 24 inches whose sides are

pav-90 [236]

Given:

A right triangle has legs of 18 inches and 24 inches.

The short leg is increasing by 4 in/sec and the long leg is shrinking at 9 in/sec.

To find:

The rate of change of the hypotenuse.

Solution:

Let x be the shorter leg (Base), y be the larger leg (Perpendicular) and z be the hypotenuse.

We have,

$\dfrac{dx}{dt}=4\text{ in/sec}$

$\dfrac{dy}{dt}=-9\text{ in/sec}$

$x=18$

$y=24$

According to the Pythagoras theorem,

$Hypotenuse^2=Base^2+Perpendicular^2$

$z^2=x^2+y^2$ ...(i)

$z^2=(18)^2+(24)^2$

$z^2=324+576$

$z^2=900$

Taking square root on both sides.

$z=\pm \sqrt{900}$

Side cannot be negative. So,

$z=30$

Differentiating (i) with respect to time t, we get

$\dfrac{d}{dt}z^2=\dfrac{d}{dt}(x^2+y^2)$

$2z\dfrac{dz}{dt}=2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}$

$2(30)\dfrac{dz}{dt}=2(18)(4)+2(24)(-9)$

$60\dfrac{dz}{dt}=144-432$

$60\dfrac{dz}{dt}=-288$

Divide both sides by 60.

$\dfrac{dz}{dt}=\dfrac{-288}{60}$

$\dfrac{dz}{dt}=-4.8$

Here, negative sign means hypotenuse is decreasing.

Therefore, the hypotenuse is shrinking at 4.8 in/sec.

7 0

3 years ago