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3 years ago

What the lateral and surface area of this figure

Mathematics

1 answer:

tamaranim1 [39]3 years ago

3 0

Answer:

Lateral Surface Area = 314^2 inch = 314.86 square inch

To find Lateral Area

First we square two of the sides of the top to find the hypotenuse which is also the height of the side triangles.

Here we take 5^2 6^2 = 25 +36 = 61

as a decimal √61 ≈ 7.8102

7.8102 x 5 = 39.051 is the Surface area of the top of the shape we will call this p.

Therefore Surface area =, b x h + p x l = 30 x 3 =90 + (40.81 x 6)

=224.86 +90 = 314.86^2 inch = Lateral SA

p= b+h+c = 5 x 6 =30 + 3 + 7.81 = 40.81sq2

Step-by-step explanation:

6 x 5 =35 x 2 = 70

3 x 5 =15 x 2 = 30

6 x 3 = 18 x 2 = 36

Area only if base and top was the same = +136cm^2

This area is invalid. So it is really important to learn hypotenuse.

Volume is much easier and can guide you for reverse workings more for same sides. The shape above has not got the same sides. There is no surface area only lateral area at top.

V= 45^3inch = 45 cube inch

Just like a rectangle box but half its size as all opposite sides are the same. and the top and base can create a square by using the sides.

To do ths we half the end area.

6 x 3 x 5 = 18 x 5 = 90 sq3

half of this is 45 cube inch volume.

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What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,

emmainna [20.7K]

9514 1404 393

Answer:

C. (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

(9, 15)

Then the translation up by 3 will give you the image coordinates ...

(x, y) ⇒ (x, y+3)

(9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

8 0

3 years ago

Suppose it is known that for a given differentiable function y=f(x), its tangent line (local linearization) at the point where a

AleksandrR [38]

Answer:

y(-4) = 5

y'(-4) = -7

Step-by-step explanation:

Hi!

Since the tangent line T and the curve y must coincide at x=-4

y(-4) = T(-4) = 5

On the other hand, the derivative of the curve evaluated at -4 y'(x=-4) must be the slope of the tangent line. Which inspecting the tangent line T(x) is -7

That is:

y'(-4) = -7

6 0

3 years ago

With a beginning balance of $2500 and no additional charges, there is no grace-period, you will just pay the minimum payment eac

valkas [14]

Answer:

a = $31.23 per month

b = $20.83 per month

c = 249.98 = $249.98 interest charges

= $624-249.98 = 374.02 profit part decrease 8% inc.

d = 35.35%

e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.

Step-by-step explanation:

2500 x 1.2499 = interest only for start month 13 =3124.75

3124.75/ 100 x 1.08 = 8% of this = 249.98 each year.

We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.

3124.75 - 249.98 = 2874.77 = Total after charges each year.

249.98/12 = 20.83 = monthly charges.

3124.75- 2500 = 624.75 payments each year

624.75/12 = 52.06 month 1 payment before charge

52.06-20.83 =31.23 total minimum payment

2500 + 249.98

Percentage = 200:600 = 1/3 33% + (comparing to ratio 10:25 closer to 40%)

We find ratio 200:600= 33.33 + 49.995/24.75 = 2.02

33+2.02 = 35.35%

7 0

3 years ago

HELPPPP PLEASEEE IM BEGGING SOMEONE PLEASE PLEASE HELP

pychu [463]

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

$m\angle RPS=90^\circ$ [Right angle]

$(5x+15)^\circ=90^\circ$

$(5x+15)=90$

$5x=90-15$

$5x=75$

Divide both sides by 5.

$x=\dfrac{75}{5}$

$x=15$

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

$m\angle RQP=(2x+3)^\circ$

Putting $x=15$ , we get

$m\angle RQP=(2(15)+3)^\circ$

$m\angle RQP=(30+3)^\circ$

$m\angle RQP=33^\circ$

Therefore, the measure of angle RQP is 33 degrees.

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3 years ago

The diagonals of a kite separate the quadrilateral into four congruent triangles

statuscvo [17]

<span>If the sum of two of the sides congruent to each other are greater than that of the sides opposite them, then no. If however the kite forms a rombus ot square, the diagnoles will form four congruent triangles with the base of both being the line of symmetry.
hope this helps :)</span>

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3 years ago