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aliina [53]
1 year ago
6

Find the total surface area of this cuboid

Mathematics
2 answers:
lesya692 [45]1 year ago
3 0

Answer:

SA = 76 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

  • l = 4 cm
  • w = 2 cm
  • h = 5 cm

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(4)(2) + 2(2)(5) + 2(5)(4)

SA = 2(8) + 2(10) + 2(20)

SA = 16 + 20 + 40

SA = 76 cm²

Final answer: 76 cm²

Hope this helps!

Triss [41]1 year ago
3 0

Answer:

formula for cuboid is length×breadht×height= 4×2×5 =100cm

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In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the d
nikdorinn [45]

Answer:

R = 7,34 km

Ф = 63,43° north of east

Step-by-step explanation:

Let´s analyze each movement and find its perpendicular components. Then, we are going to add the components along the x and y axes to get the resultant and finally to calculate its magnitude and direction.

To determine the perpendicular components, we will use right triangles trigonometrics ratios.

Please see images for each displacement in attached file.

  • <u>Displacement A: 2.50 km and 45° north of west</u>

Ax= AcosФ = 2.50cos45° = 1.77 km (neg. direction)

Ay= AsenФ = 2.50sen45° = 1.77 km (pos. direction)

  • <u>Displacement B: 4.70 km and 60° south of east</u>

Bx= BcosФ = 4.70cos60° = 2,35 km (pos. direction)

By= BsenФ = 4.70sen60° = 4,07 km (neg. direction)

  • <u>Displacement C: 1.30 km and 25° south of west </u>

Cx= CcosФ = 1.30cos25° = 1,18 km (neg. direction)

Cy= CsenФ = 1.30sen25° = 0.55 km (neg. direction)

  • <u>Displacement D: 5.10 km due east (0°)</u>

Dx= DcosФ = 5.10 km (pos. direction)

Dy= DsenФ = 0 km

  • <u>Displacement E: 1.70 km and 5° east of north</u>

Ex= EsenФ = 1.70sen5° = 0,15 km (pos. direction)

Ey= EcosФ = 1.70cos5° = 1.69 km (pos. direction)

  • <u>Displacement F: 7.20 km and 55° south of west</u>

Fx= FcosФ = 7.20cos55° = 4.13 km (neg. direction)

Fy= FsenФ = 7.20sen55° = 5.90 km (neg. direction)

  • Displacement G: 2.80 km and 10° north of east

Gx= GcosФ = 2.80cos10° = 2.76 km (pos. direction)

Gy= GsenФ = 2.80sen10° = 0.49 km (pos. direction)

Now, we add the components along the x- and y- axis to find the components of the resultant (R):

Rx = Ax + Bx + Cx + Dx + Ex + Fx + Gx

Ry = Ay + By + Cy + Dy + Ey + Fy + Gy

Therefore,

Rx= (-1.77)+(2.35)+(-1.18)+(5.10)+(0.15)+(-4.13)+(2.76)

Ry= (1.77)+(-4.07)+(-0.55)+(0)+(1.69)+(-5.90)+(0.49)

<em>Note: minus (-) symbol to negative directions</em>

Rx = 3.28 km

Ry = - 6.57 km

Let´s use the Theorem of Pythagoras to find the magnitud ot the resultant:

R = \sqrt{Rx^{2} +Ry^{2} }

R =\sqrt{(3.28)^{2}+(-6.57)^{2} }

R = 7,34 km

To find the direction of the resultant:

tanФ = \frac{Ry}{Rx}

tanФ = \frac{6.57}{3.28}

tanФ = 2.00

Ф = tan-1 (2.00)

Ф = 63,43° north of east

Download pdf
3 0
3 years ago
8. Find the area and the perimeter of
shtirl [24]

Answer:

the answer is DBC=90°

because the midpoint of the perimeter of quadrilateral is B

4 0
2 years ago
Please help, this will just take a minute of your time ❤︎ (literally)<br>(Discriminant Worksheet)
igomit [66]

Answer:

\large\boxed{x=-\dfrac{7-\sqrt{97}}{4}\ \vee\ x=-\dfrac{7+\sqrt{97}}{4}}

Step-by-step explanation:

ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{We have:}\\\\-2x^2-7x+10=4\qquad\text{subtract 4 from both sides}\\\\-2x^2-7x+6=0

a=-2,\ b=-7,\ c=6\\\\\Delta=(-7)^2-4(-2)(6)=49+48=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x=\dfrac{-(-7)\pm\sqrt{97}}{2(-2)}=\dfrac{7\pm\sqrt{97}}{-4}=-\dfrac{7\pm\sqrt{97}}{4}

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3 years ago
On the number line below, length <br> AB= {?}
SVEN [57.7K]

Answer:

29 units

Step-by-step explanation:

The length of a segment of a number line is the difference of the coordinates of the end points:

45 -16 = 29

3 0
3 years ago
What is the average of four tenths and five thousandths?
Rama09 [41]
Four tenths is expressed as .4 
five thousandths is expressed as .005
the sum of these is .405 and divided by 2 (there are two numbers we added), we get .2025, that is the average
5 0
3 years ago
Read 2 more answers
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