All categories

3 years ago

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Mathematics

1 answer:

spin [16.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

There is 75 gallons of water into the pool every hour if the pool can hold 6,750 gallons how long will it take to fill the pool?

Andreyy89

Answer:

90 hours

Step-by-step explanation:

The rate at which water enters the pool is

75 gallons

-------------------

1 hour

This is equivalent to

1 hour per 75 gallons, leading to:

1 hour

-------------------- * 6,750 gallons = 90 hours

75 gallons

3 0

3 years ago

What is the value of the expression 2.6x10^9 over 1.3x10^2?

riadik2000 [5.3K]

the value would be 2x10^7

3 0

2 years ago

Molly's town voted on a new speed limit. Out of 38 votes, 19 were in favor of the new speed limit. What percentage of the votes

RUDIKE [14]

Answer:

Percentage of votes in favour of new speed limit=50%

Step-by-step explanation:

There was a voting in Molly's town to set a new limit for the speed attained by a vehicle.

In Molly's town,

Number of votes recorded=38

Number of votes in favour of the new speed limit=19

We have to find the percentage of votes in favour of the new speed limit.

For that,the percentage of votes in favour= $\frac{votes in favour of new speed limit×100}{total votes}$

Percentage of votes in favour= $\frac{19*100}{38}$

Percentage of votes in favour=50%

3 0

3 years ago

The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0

3 years ago

Line segment AB has a length of 2 units. It is translated 6 units to the right on a coordinate plane to obtain line segment A'B'

Sphinxa [80]

2 units
it has just moved, not changed lengths

6 0

3 years ago