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3 years ago

Write each ratio in its simplest form 8: 10 show working

Mathematics

1 answer:

Sloan [31]3 years ago

8 0

Answer:

Simple solution for that!

4 : 5

Step-by-step explanation:

both 8 and 10 are divided by 2

8 ÷ 2 : 10 ÷2

4 : 5

further can't simplify so 4 : 5 is the answer

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The area of a circular pizza is 200 inches.

Goshia [24]

Answer:

r = 31.85 in or 100/π

Step-by-step explanation:

area = πd

200 = 3.14d

d = 63.69

r = 1/2d

r = 31.85 in

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3 years ago

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In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. Find the length of IJ to the nearest tenth of a foot.

Nitella [24]

We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(29^{\circ})=\frac{88}{IJ}$

$IJ=\frac{88}{\text{tan}(29^{\circ})}$

$IJ=\frac{88}{0.554309051453}$

$IJ=158.7562024638191237$

Upon rounding to nearest tenth, we will get:

$IJ\approx 158.8$

Therefore, the length of the side IJ is approximately 258.8 units.

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4 years ago

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6, ?, 4, 2 <br><br><br>find the missing term of the Fibonacci style sequence

gogolik [260]

Answer:

-2

Step-by-step explanation:

The Fibonacci Sequence is the series of numbers where the next number is found by adding up the two numbers before it.

Therefore, 6 + ? = 4

⇒ ? = 4 - 6

⇒ ? = -2

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3 years ago

A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

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3 years ago

The length of a garden is four more than twice its width, w. Which expressions represent the area of the garden? Select all that

fgiga [73]

Answer: the options that apply are

1) w(2w + 4)

5) 2w² + 4w

Step-by-step explanation:

The formula for determining the area of a rectangular garden ins expressed as

Area = length × width

The length of a garden is four more than twice its width, w. The expression for the length would be

Length = 2w + 4

Therefore, the expression that represents the area of the garden would be

w(2w + 4)

Expanding the brackets, it becomes

2w² + 4w

5 0

3 years ago

Write each ratio in its simplest form 8: 10 show working​

Write each ratio in its simplest form 8: 10 show working