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3 years ago

Round 5.638 to the nearrest tenth

Mathematics

2 answers:

adelina 88 [10]3 years ago

7 0

Answer:

5.6

Step-by-step explanation:

Yuri [45]3 years ago

6 0

Answer:

5.6

Step-by-step explanation:

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A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is

IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

${w}^{2} + {42}^{2} = {62}^{2}$

${w}^{2} = {62}^{2} - {42}^{2}$

${w}^{2} = 2080$

${w} = \sqrt{2080}$

$w = 4 \sqrt{130}$

The width of the painting is 45.6cm to the nearest tenth.

4 0

3 years ago

Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle

mario62 [17]

Step-by-step explanation:

The distance formula between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points.

$A(4,\ 0),\ B(2,\ 1),\ C(-1,\ -5)\\\\AB=\sqrt{(2-4)^2+(1-0)^2}=\sqrt{(-2)^2+1^2}=\sqrt{4+1}=\sqrt5\\\\AC=\sqrt{(-1-4)^2+(-5-0)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=\sqrt{50}\\\\BC=\sqrt{(-1-2)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}=\sqrt{9+36}=\sqrt{45}$

If a ≤ b < c are the sides of the right triangle, then

a² + b² = c²

$\sqrt5$

used $(\sqrt{a})^2=a$ for a ≥ 0.

$AB^2+BC^2=AC^2$ therefore ΔABC is a right triangle.

6 0

2 years ago

A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14

Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = $\frac{Perpendicular}{Base}$

tan 18 = $\frac{65 -y}{x}$

∴ x = $\frac{65 -y}{tan 18}$ ................ (1)

In ΔOBC

tan 14 = $\frac{Perpendicular}{Base}$

tan 14 = $\frac{y}{x}$

y = x × tan 14 ..............(2)

equating (2) in (1), we get;

x = $\frac{65}{tan 18 + tan 14}$

x = $\frac{65}{0.574}$

∵ tan 18 + tan 14 = 0.574

<em>i.e. The her distance from the pole is 113.2 ft.</em>

3 0

2 years ago

The balance, B, in dollars, after T years of an investment that earns interest compounded annually is given by the function B(t)

faust18 [17]

Answer: I’m pretty sure it’s 4.50%

Step-by-step explanation:

Well when you divide the number (1.045) by 100 you get 4.5 and so 4.5 of 1500 would give you the balance.

5 0

2 years ago

Kelly’s Experimental Outcomes

maria [59]

Answer:

60% or 3/5

Step-by-step explanation:

Tails was the result 3 times.

There were 5 trials.

The probability is 3/5.

5 0

2 years ago