All categories

2 years ago

Find the volume of the prism

Mathematics

2 answers:

OLEGan [10]2 years ago

6 0

The volume is 80 cubic units. 8*2*5=80

anygoal [31]2 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Find the value of each variable. Answer in simplest radical form.

Vlada [557]

Answer:

x = 5√3; y = 5

Step-by-step explanation:

Finding y: The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:

sin 30° = 1/2 = y/10

Solve the equation of ratios

1 y

-- = ----- using cross-multiplication first: 2y = 10 → y = 5

2 10

We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:

x² + y² = 10² = 100 → x² = 100 - y² = 100 - 5² = 75

If x² = 75, then x = ±√75 = ± (√25)·(√3) → ±5√3

Since lengths are always positive, take x = 5√3 as the answer.

8 0

2 years ago

A particle is moving along the curve y= 4sqrt(5x+11) . As the particle passes through the point (5,24) , its -coordinate increas

kupik [55]

The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

<h3>What is the rate of change?</h3>

The instantaneous rate of change is the rate of change at a particular instant.

A particle is moving along the curve

$y= 4\sqrt{5x+11} .$

The rate of change of y is given as:

dy / dx = 2

by differentiating both sides,

$\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} } 5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\$

From the question, we have:

(x, y) = (5,24)

Substitute 5 for x and dy / dx = 2

$\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3$

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.

Read more about rates of change at:

brainly.com/question/13103052

#SPJ1

8 0

1 year ago

What is the perimeter?

tigry1 [53]

Answer:

Step-by-step explanation:

All sides of a rhombus are equal.

6 0

2 years ago

Read 2 more answers

Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more

eimsori [14]

Total height of lumber, H = 10 1/2 feet = 21/2 feet .

Height of side panel, h = 5 2/3 feet = 17/3 feet .

Now,

Extra lumber required, L = 2 × Height of side panel - Total height of lumber

$L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet$

Therefore, extra lumber required is $\dfrac{5}{6}$ feet.

Hence, this is the required solution.

4 0

3 years ago

Rewrite the following sentence as an equation.

SVEN [57.7K]

Answer:

3(2+x)=0

Step-by-step explanation:

<u>Here are some vocab words:</u>

Product: Multiplication

Sum: Addition

"A number": x

3(2+x)=0

6 0

2 years ago