<img src="https://tex.z-dn.net/?f=y%20%7B%3F%7D%5E%7B2%7D%20%20-%2018y%20%2B%2081" id="TexFormula1" title="y {?}^{2}

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igomit [66]

3 years ago

" alt="y {?}^{2} - 18y + 81" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

guajiro [1.7K]3 years ago

7 0

$\bf y^2-18y+81\implies \stackrel{FOIL}{(y-9)(y-9)}$

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3x + y = -21<br> x+y=-5<br> solving systems of equations by substitution

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First : x=-5-y and then put x in the phrase above

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3 years ago

A chord divides a circle into

Pani-rosa [81]

<span>A chord divides a circle into 2 segments.

A major segment and a minor segment.

If the chord passes through the center of the circle, then it divides the circle into equal segments.</span>

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3 years ago

Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(

GenaCL600 [577]

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17 $mm^2$

The surface area of the triangular prism is 55.5,127.5,135,or 150 $mm^2$

Answer:

(B)2 triangular faces

(A)Area of one Triangular Face $=7.5mm^2$

(C)Total Surface Area of the Triangular prism $=135mm^2$

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face $=\frac{1}{2}*6*2.5=7.5mm^2$

The dimensions of the lateral rectangles are:

2.5 mm by 8mm
6 mm by 8mm
6.5 mm by 8mm

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

$=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2$

Total Surface Area of the Triangular prism $=135mm^2$

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3 years ago

Find the area A of the sector of a circle of radius 90 in formed by central angle 1/6 radian.

miv72 [106K]

Answer:

2121 $in^{2}$ Rounded to the nearest inch.

Step-by-step explanation:

A = $\pi r^{2}$ Is the formula for a circle, but we only have a portion of a circle so we will have to adjust the formula for a part of the circle.

A = $\frac{\frac{\pi }{6} }{2\pi }$ $\pi r^{2}$ The $\frac{\pi }{6}$ is the part of the circle and the whole circle is 2 $\pi$

$\frac{\frac{\pi }{6} }{2\pi }$ is the same as $\frac{\pi }{6}$ ÷ $\frac{2\pi }{1}$ Which is the same as $\frac{\pi }{6}$ x $\frac{1}{2\pi }$ Which is the same a $\frac{1}{12}$

A = $\frac{1}{12}$ $\pi$ $90^{2}$

A = $\frac{1}{12}$ (3.14)(90)(90) = 2119.5. When you use the $\pi$ on your calculator you get a slightly different number. This is due to rounding.

A = 2120.575041

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1 year ago

There were 700 people in the auditorium. 60% of them were adults and the rest were children. how many adults were in the auditor

ollegr [7]

$.60 \times 700 = 420 \\ 700 - 420 = 280$
First I found the number of adults by multiplying .60 by 700. It was 420. From there all I had to do was subtract it from 700. Revealing the number of children to be 280.

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3 years ago