How do i make them into fractions decimals and percentages

Mathematics

1 answer:

Ksivusya [100]4 years ago

4 0

If one of them is wrong it is because it is blury! sorry!

13) 72/100

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Maritza is buying a multipack of 3 pairs of socks for $25.98. She will save $6.24 by buying the multipack instead of buying 3 in

vodka [1.7K]

Each pair of the sock will cost $6.58

25.98-6.24=19.74
19.74/3=6.58

3 0

3 years ago

Explain why 1/2 ab sin(theta) gives the area of a triangle with sides a and ???? and included angle theta.

Jet001 [13]

Answer:

Please find the attachment.

Step-by-step explanation:

We are asked to explain why $\frac{1}{2}ab\cdot \text{sin}(\theta)$ gives the area of a triangle with sides a and b and included angle theta.

We know that area of a triangle is equal to half the product of base and height of the triangle.

$\text{Area of triangle}=\frac{1}{2}\cdot bh$

Upon looking at our given triangle, we can see that the base of the triangle is equal to 'a'.

The height of the triangle can be determined using sin(theta) as sine relates opposite side of right triangle with its hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(\theta)=\frac{h}{b}$

$h=b\cdot \text{sin}(\theta)$

Upon substituting our given values in area formula, we will get:

$\text{Area of triangle}=ab\cdot \text{sin}(\theta)$

Hence, proved.

8 0

4 years ago

A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

kari74 [83]

9514 1404 393

Answer:

160 ft (out from the river)
320 ft (parallel to the river)

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...

A = x(640-x)/2

This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.

The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.