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3 years ago

Classify the triangle by its sides and angles

Mathematics

1 answer:

Montano1993 [528]3 years ago

4 0

This is an acute scalene triangle

The triangle is acute since all three angles (58, 57, 65) are less than 90 degrees

The triangle is scalene as the angles are all different. So this leads to the sides being different lengths. No two sides are the same length.

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How many flowers, spaced every 6 inches, are needed to surround a circular garden with a 10 foot radius?

Stolb23 [73]

To solve this problem you must apply the proccedure shown below:

1. You must calculate the perimeter of the circle:

The radius of the circle in inches is:

$radius=\frac{(10ft)(12in)}{1ft}=120in$

$P=2\pi(radius)\\ P=2\pi(120in)\\ P=753.98in$

2. Now, you must divide the perimeter by the space between each flower to find the number of flowers needed, which you can call $x$ :

$x=\frac{753.98in}{6in}=125.6=126$

The answer is: 126 flowers.

5 0

3 years ago

A square with side of k cm has perimeter of 36 cm. find the value of k.

Marrrta [24]

Answer: 9

Step-by-step explanation:

36/4 = 9

also if you want me to explain I can just ask…

but also I dunno if my answer is correct tho

5 0

2 years ago

a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di

Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

$\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}$

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

$\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}$

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

$\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}$

Thus, the total prototypes will cost around $60.75

7 0

1 year ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%2064%7D%20" id="TexFormula1" title=" \sqrt{ - 64} " alt=" \sqrt{ - 64} " ali

LenKa [72]

Answer:

Step-by-step explanation:

4 0

2 years ago

Which of the following absolute value equations has no solutions?Group of answer choices

Amiraneli [1.4K]

The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:

In other words:

• If d is positive and

$\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}$

• If d is negative and

$\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}$

Therefore, the equation that has no solutions is:

$\boldsymbol{|x|=-3}$

3 0

1 year ago