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2 years ago

9

the volume of an isosceles right angled triangular prism is 1000 cm3 . If the length of the prism is 20 cm ,find (i) its lateral

surface area and total surface area

1 answer:

Musya8 [376]2 years ago

3 0

Answer:

It's 682.8cm^2

tell me if I'm right

Hope this helps

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List all the possible rational roots of 4x^3+8x^2-x+5=0

RideAnS [48]

The only rational root is -2.336071261738453
The other roots are complex (imaginary).

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3 years ago

Q 1 PLEASE HELP ME FIGURE THIS OUT 2

dimulka [17.4K]

Answer: $\frac{\pi }{3}$

<u>Step-by-step explanation:</u>

cot is $\frac{cos}{sin}$ on the Unit Circle. When is cos = $\frac{1}{2}$ and sin = $\frac{\sqrt{3}} {2}$ ? In other words, where is the coordinate $(\frac{1}{2},\frac{\sqrt{3}} {2})$ on the Unit Circle?

It occurs at 60° = $\frac{\pi }{3}$ radians

**************************************************************************************

Answer: cot θ

<u>Step-by-step explanation:</u>

sec (90 - θ) * cos θ

= $\frac{1}{cos (90 -\theta)}$ * cos θ

= $\frac{cos\theta}{cos(90 - \theta)}$

= $\frac{cos\theta}{cos90*cos\theta+sin90*sin\theta}$

= $\frac{cos\theta}{0*cos\theta+1*sin\theta}$

= $\frac{cos\theta}{sin\theta}$

= cot θ

**************************************************************************************

Answer: BC = √5, AC = 2√5

<u>Step-by-step explanation:</u>

$\frac{\pi} {3}$ = 60°, which means ΔABC is a 30°-60°-90° triangle so we can use the side length formulas: x - x√3 - 2x.

∠C is the 60°. It matches to side AB so: AB = x√3 = √15 ⇒ x = √5

∠A is the 30°. It matches to side BC so: BC = x = √5

∠B is the 90°. It matches to side AC so: AC = 2x = 2(√5) = 2√5

**************************************************************************************

Answer: k = 4, RS = 12, QS = 28

<u>Step-by-step explanation:</u>

$\frac{QR}{MN} = \frac{RS}{NO}= \frac{QS}{MO}$

$\frac{24}{6} = \frac{RS}{3}= \frac{QS}{7}$

proportionality constant k can be found with $\frac{QR}{MN}$ = $\frac{24}{6}$ = 4

$\frac{QR}{MN} = \frac{RS}{NO}$

→ 4 = $\frac{RS}{3}$

→ 4(3) = RS

→ 12 = RS

$\frac{QR}{MN} = \frac{QS}{MO}$

→ 4 = $\frac{QS}{7}$

→ 4(7) = QS

→ 28 = QS

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3 years ago

A fund-raising company is putting together a student kit of candy bars for a school to use in its annual support campaign. To ma

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Answer:

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f

Step-by-step explanation:

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2 years ago

Skate station charges a flat rate of $5.00 per day for skate rental plus $2.00 per hour of skating. If the number of hours is re

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Hello Missycat6, the answer would be 5 + 2h because 5 represents 5 dollars a day and 2h represents the 2 dollars per 'h' hour.

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3 years ago

The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385.

zloy xaker [14]

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let $x,y$ denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

$x+y=100\\y=100-x$

Also, The bagel shop made $385.

$7x+2y=385$

Put $y=100-x$ in $7x+2y=385$

$7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37$

So,

Number of special bagel sandwiches = 37

5 0

2 years ago