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2 years ago

The two ends of this triangular right prism are equilateral triangles. The

Mathematics

1 answer:

maria [59]2 years ago

7 0

If the two ends of this triangular right prism are equilateral triangles. The surface area of the prism is 74cm.

<h3>Surface area</h3>

Using this formula

A=bh+L(S1+S2+S3)

Where:

L=5cm

b=4cm

h=3.5cm

S1=4cm

S2=4cm

S3=4cm

Let plug in the formula

A=4(3.5)+5(4+4+4)

A=14+5(12)

A=14+60

A=74 cm

Therefore the surface area of the prism is 74cm.

Learn more about surface area here:brainly.com/question/16519513

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Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, &lt

Ann [662]

Answer:

5x +3y>-15

5(0)+3(0)

0+0= 0 > -15

Step by step explanation

We have to create a scenario that leads to an inequality of the form ax + b > c.

Word problem: A family went to an park. Entry fee of the park for a family is $20 and the cost of a ride is $10 per person. The family spent more than $100 on that ride.

The required inequality is

Subtract 20 from both sides.

Divide both sides by 10.

It means the number of rides must be greater than 8.

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3 years ago

Read 2 more answers

Need help on this one

ivolga24 [154]

If a triangle has side lengths 5, 5, and 8, then the triangle should be classified as isosceles.

This is because an isosceles triangle has two sides of the same length and one side of a different length. This isn’t an equilateral triangle (where all sides are of equal length) or a scalene triangle (where all sides are of different lengths).

Hope this helps!

8 0

3 years ago

If a line with a slope of -2 crosses the y-axis at (0,3). What is the equation of the line?

baherus [9]

It technically would be y=3x-3 in the y=mx+b formula, but it could also be rewritten 3x-y=3. Hope this helps!

3 0

3 years ago

Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

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3 years ago

How to simplify this equation

Ainat [17]

6square root of 3 (numerator) over÷ square root of 3 and square root of 3. Then you get 6 square root of 3 over ÷ 3=2 square root of 3.
Take time mate) Good day.

6 0

3 years ago