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rosijanka [135]
3 years ago
6

A slice is made perpendicular to the base of a right rectangular prism as shown.

Mathematics
2 answers:
Lilit [14]3 years ago
4 0
The length of the 2D cross-section = 22cm

Breadth of 2D cross-section = 12cm

Since it's inside a rectangular prism, it's area will be given by the formula of area of a rectangle.

→ Area of 2D cross-section = 22×12 = 264 cm²
mixer [17]3 years ago
3 0

Answer:

264 cm^2

Step-by-step explanation:


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Solve For The Missing Variable In Each Figure. Give Exact Values.
kap26 [50]

Answer:

Step-by-step explanation:

sin60=\frac{\sqrt{3}{2}}\\ \\ \frac{9}{x}\\ \\ x=\frac{18}{\sqrt{3}}\\ \\ x=\frac{18\sqrt{3}}{3}\\ \\ x=6\sqrt{3}

3 0
3 years ago
Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )
irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0
3 years ago
Which expression is equivalent to 4 square root 6 divided by 3 root 2?
saw5 [17]

Answer:

\sqrt[12]{55296}/2

Step-by-step explanation:

\sqrt[4]{6}/\sqrt[3]{2}=1.2422

\sqrt[12]{27}/2=0.66 <-- not matching with the top expression.

\sqrt[4]{24}/2=1.11<--not matching with the top expression.

\sqrt[12]{55296}/2=1.2422<-- matches!!

\sqrt[12]{177147}/3=0.91<-- not matching with the top expression.

5 0
3 years ago
Draw a rectangle. Find the area of the rectangle if the length is 30 cm and the width is 72 cm.
iren2701 [21]

Answer:

the area is 2160

Step-by-step explanation:

length times width equals the area of a rectangle

7 0
3 years ago
Read 2 more answers
Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. He places the base of the ladd
Dmitriy789 [7]
A. 10 feet.

Think of it like this:

The wall is upright, it's 90° and it's 8 feet high. The distance from the bottom of the ladder to the bottom of the wall (along the ground, which is perpendicular to the wall) is 6 feet. When Benton places the base of the ladder 6 feet away from the wall and the top is resting at the top of the wall, it looks like a triangle, right?

Using pythagoras (this rule about right-angled triangles and stuff), we can already see that the two sides when simplified are 3:4. Because the 'triangle' is a right-angled triangle, the other side HAS to be 5 to complete the ratio. We just multiply it by 2 to get the correct ratio and that's your answer!

7 0
3 years ago
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