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Alex17521 [72]
2 years ago
15

What is a surface area of the cuboid with 4,5 and 9

Mathematics
1 answer:
Anettt [7]2 years ago
8 0

Answer:

SA = 202

Step-by-step explanation:

Surface area = Sum of all 6 areas of each side of the cuboid

SA = 2 (4·5 + 5·9 +9·4), because there are 2 of each kind of sides

SA = 2 (20+ 45 + 36)

SA = 2·101

SA = 202

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Identify characteristics of the quadratic function and its graph ​
Assoli18 [71]

Answer:

Step-by-step explanation:

Vertex (1,-1)

Axis of symmetry: x = 1

Domain is the set of real numbers.

Range in interval notation: [-1,+∞)

When x< 1, y increases as x increases.

When x>1, y decreases as x increases.

3 0
2 years ago
Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5.
Elena-2011 [213]
Let's notice, the focus is at (5,0) and the directrix at x = -5.

keep in mind that there's a distance "p" from the vertex to either of those fellows, therefore, if the focus is at 5,0 and the directrix x = -5, the vertex is half-way between them, check the picture below.

notice the distance "p" there, now, is a horizontal parabola, opening to the right, meaning the value for "p" is positive, or just 5, thus

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})}&#10;\\\\&#10;(x-{{ h}})^2=4{{ p}}(y-{{ k}})&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=0\\&#10;k=0\\&#10;p=5&#10;\end{cases}\implies (y-0)^2=4(5)(x-0)\implies y^2=20x&#10;\\\\\\&#10;\cfrac{y^2}{20}=x\implies \cfrac{1}{20}y^2=x

8 0
3 years ago
Can some explain how to do this?
zepelin [54]

Answer:

  • Exact Area = 210.25pi - 210
  • Approximate Area = 450.185

The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

=============================================================

Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

  • a = 20
  • b = 21
  • c = unknown

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441 = c^2

c^2 = 841

c = sqrt(841)

c = 29

The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

4 0
3 years ago
Marcella ate one cup of air popped popcorn. which equation can Marcelo use to find how many carbohydrates she consumed?
Dahasolnce [82]
She ate 6.2 carbohydrates

8 0
3 years ago
Read 2 more answers
How many solutions does
eimsori [14]

Answer:

The above equation has two solution

x = 0 and x = 1

Step-by-step explanation:

[ refer to the attachment ]

7 0
3 years ago
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