Answers
Rectangular prism is also called cuboid.
Given :Length = 3 feetBreadth = 6 feetHeight = 2 feetTo calculate :Volume of the rectangular prism.Calculations :Formula :
[tex]\bigstar \: \boxed{\sf {Volume_{(Cuboid)} = \ell \times b \times h}} \\ [/tex]
[tex] \longmapsto [/tex] Volume = (3 × 6 × 2) feet[tex]\sf ^3 [/tex]
[tex] \longmapsto [/tex] Volume = (18 × 2) feet[tex]\sf ^3 [/tex]
[tex] \longmapsto [/tex] Volume = 36 feet[tex]\sf ^3 [/tex]
Therefore,
Volume of the rectangular prism is 36 feet[tex]\sf ^3 [/tex].Related Questions
Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5.
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To prove that EFGH is a parallelogram, the missing reasons are:
1. Alternate interior angles theorem
2. Reflexive property
3. SAS
4. CPCTC
5. Both pairs of quadrilateral EFGH are congruent, hence, EFGH is a parallelogram.
What is a Parallelogram?A parallelogram is a quadrilateral that has: two pairs of opposite sides that are parallel and congruent
To prove that EFGH is a parallelogram, we have the following proof which consists of the reasons that jsutifes each given statement:
1. ∠FGE and ∠HEG are alternate interior angles, therefore, ∠FGE ≅ ∠HEG based on the alternate interior angles theorem.
2. EG ≅ EG based on the reflexive property of congruence.
3. ΔFGE and ΔHEG have:
two pairs of corresponding congruent sides - EG ≅ EG, and FG ≅ EH
one pair of included congruent angles - ∠FGE ≅ ∠HEG
Therefore, ΔFGE ≅ ΔHEG by SAS.
4. Since ΔFGE ≅ ΔHEG, therefore, FE ≅ HG by CPCTC.
5. In conclusion, since both pairs of quadrilateral EFGH are congruent, then EFGH is a parallelogram.
Learn more about parallelogram on:
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3 3/4 + 4 5/8 =
with working?
Answers
Answer:
8 3/8
Step-by-step explanation:
what are the factors of -9 that have a sum of 0
Answers
Answer:
3 and -3
Step-by-step explanation:
+3 -3 =0
sum mean adding
Please help (links will lead to a report)
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Answer:
the shaded part is 60% of the thing
Step-by-step explanation:
3/5 = 60%
Angles T and V are complementary. Angle T has a measure of (2x + 10)°. Angle V has a measure of 48°. What is the value of x?
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PLZZZZZZZZZZ HELLLPPPPP ASAPPPL
Answers
Answer:
The equation to find [tex]x[/tex] is [tex](5\cdot x - 2)^{\circ} + (2\cdot x -2)^{\circ} + x^{\circ} = 180^{\circ}[/tex].
The degree measure of each angle is: [tex]m\angle J = 113^{\circ}[/tex], [tex]m\angle K = 44^{\circ}[/tex] and [tex]m\angle L = 23^{\circ}[/tex].
Step-by-step explanation:
From Euclidean Geometry we remember that the sum of internal angles in triangles equals 180°. If we know that [tex]m\angle J = (5\cdot x -2)^{\circ}[/tex], [tex]m \angle K = (2\cdot x - 2)^{\circ}[/tex] and [tex]m\angle L = x^{\circ}[/tex], then we construct the following equation of the triangle JKL in function of [tex]x[/tex]:
[tex]m\angle J + m\angle K + m\angle L = 180^{\circ}[/tex] (1)
[tex](5\cdot x - 2)^{\circ} + (2\cdot x -2)^{\circ} + x^{\circ} = 180^{\circ}[/tex]
[tex]8\cdot x -4 = 180^{\circ}[/tex]
[tex]8\cdot x = 184[/tex]
[tex]x = 23[/tex]
Finally, the measure of each angle is, respectively:
[tex]m\angle J = (5\cdot x -2)^{\circ}[/tex]
[tex]m\angle J = 113^{\circ}[/tex]
[tex]m \angle K = (2\cdot x - 2)^{\circ}[/tex]
[tex]m\angle K = 44^{\circ}[/tex]
[tex]m\angle L = x^{\circ}[/tex]
[tex]m\angle L = 23^{\circ}[/tex]
What is the area and circumference of the given circle
Answers
Answer:
Area=36π ft or 113.1 ft
Circumfrence= 12π ft or 37.7 ft
Step-by-step explanation:
A=πr^2
r=6
A=36π ft or 113.1 ft
C=2πr
C=12π ft or 37.7 ft
B
✓97
B
4
6°
A
9
С
Select all true statements:
A) sin (©) = Vo
| B) tan (8) = 3
| C) tan (8) =
D) cos(B) = to
E) 42 +92 = 97
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Answer:
I need help with the answer as well
Step-by-step explanation:
operations with functions & compositions
3 ( h(x) ) + j(x)
h(x)= x + 5
j(x) = 2x^2 - 3x + 4
Answers
Answer:
2x^2 + 3x + 16
Step-by-step explanation:
fill it in like this 3 (x + 5) + 2x²- 3x + 4
then solve
Help help help help help
Answers
Answer:
I'm pretty sure it's c but I'm not sure
40% of the fruits in a bag are mangoes and the remainder is orange. If there are 120 fruits in the bag and 10% of the mangoes are ripe, how many ripe mangoes are in the bag?
Answers
Answer:
15 mangoes are ripe understand ok
Find the area of the shaped region
Answers
Answer:
Assuming π is represented by 3.14, the correct answer is [tex]50.24m^2[/tex].
Step-by-step explanation:
Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle. Since the radius of the shaded circle is [tex]4m[/tex], you can infer that the area of the shaded region would be [tex]4^2 * 3.14[/tex] = [tex]16*3.14[/tex] = [tex]50.24m^2[/tex].
help asap please need answer
Answers
Answer:
is this on edulastic? if you have the option check answer put 12 and let me know if it was right please.
Answer:
about 21.9 ft²
Step-by-step explanation:
area of a half circle = [tex]\frac{\pi r ^{2} }{2}[/tex]
so [tex]\frac{\pi 3^{2} }{2} = 14.13716694[/tex] ft²
are of a square is [tex]bh\\[/tex]
so 6 x 6 = 36 ft²
so the area of the figure would equal the area of the square minus the area of the half-circle
36 ft² - 14.13716694 ft² = 21.86283306 ft² ≈ 21.9 ft²
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least and greatest weights of the potatoes in the data set?
Answers
The least and greatest weights of the potatoes in the data set are 1/8 and 3/4 respectively.
How to find the least and greatest weight?The weight of the potatoes are:
1/4 = 0.253/8 = 0.3755/8 = 0.6251/2 = 0.53/4 = 0.751/8 = 0.125Therefore, the least weight of the potatoes is 1/8 equivalent to 0.125
The greatest weight of the potatoes is 3/4 equivalent to 0.75
Learn more about fractions:
https://brainly.com/question/1622425
help please thank you sm!!!
Answers
Answer:i think it is 54 degree
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
An angle inscribed in a semi circle measures 90. So that means the third angle measures 36.
calculate it 3⁷×3²÷3³
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Answer:
3^6
Step-by-step explanation:
3^7 × 3^2= 3^9
3^9/ 3^3=3^6
2/3=of 5 whats the answer i nead help now
Answers
Answer:
3.3333333333333...
Step-by-step explanation:
5 (2/3) = 3.33333333333 (repeating decimal)
Also,
10 (2/3) = 6.66666666666666666 (repeating decimal)
6.66666666666666 / 2 = 3.33333333333333 (repeating decimal)
At the craft store, Gabby bought a bag of blue and red marbles. She received 63 blue marbles and 21 red marbles. What percentage of the marbles were blue?
Write your answer using a percent sign (%).
Answers
Answer:
75%
Step-by-step explanation:
63+21 = 84
That is the overall amount of marbles, this allows you to get a percentage
63/84 = .75 = 75%
How many times greater is the value of the 3 in 3,499 than in 6,399
Answers
Answer:
967 times
Step-by-step explanation:
3 / 3499 is 1166.33333
3 / 6399 is 2133
Can some also help me with these problems please.
Answers
Answer:
5. ∠1.
6. ∠3.
7. ∠1.
8. 180°.
note: wherever there is a ∠ symbol, it means "angle".
Step-by-step explanation:
5. An exterior angle of the triangle is ∠1.
6. The remote interior angles of the triangle to the exterior angle 1 are ∠2 and ∠3.
7. The sum of the measure of angles 2 and 3 is equal to the measure of ∠1.
8. The sum of the measure of angles 1 and 4 is 180°.
note: wherever there is a ∠ symbol, it means "angle".
Kaylee drove 50 miles an
hour for 3 hours. How
far did she drive?
Answers
Answer:
150 miles
Step-by-step explanation:
(50 mph)(3 hrs) = 150 miles
help me
1. Circle each relation that is a function.
{(1, 3), (1, 5), (2, 7), (3, 9), (4, 11)}
{(0, 0), ( 21, 21), ( 22, 22), ( 23, 23)}
{(5, 5), (5, 4), (5, 3), (5, 2)}
{(2, 5), (3, 5), (4, 5), (5, 5)}
Answers
Answer:
2 and 4
Step-by-step explanation:
A relation describe a function when for every x is associated one and only one y
1) is not a function because when x = 1 there are two y associated (3 and 5)
2) yes, for the definition of function
3) is not a function because when x = 5 there are four y associated ( 5, 4, 3, 2)
4) yes, because for every x there is only one y associated (is not important if is the same)
Graph the inequality.
-5x + 2y<2
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Mariah is painting the surface of a sculpture in the shape of a square pyramid. The base has side lengths of 32 centimeters. The slant height is 25 centimeters. What is the surface area of the sculpture?
Answers
Answer:
2,624 cm²
Step-by-step explanation:
*what shape is the cross section
(giving brainliest if correct !)
Answers
Answer:
Pentagon
Step-by-step explanation:
Hope this helps!! :D
a little help would be nice pls
Answers
Answer:
17). x² - 16x + 63 18). 6x² + 16x + 8
Step-by-step explanation:
17). (x - 9)(x - 7)
= x² - 7x -9x + 63
= x² - 16x + 63
18). (3x + 2)(2x + 4)
= 6x² + 12x + 4x + 8
= 6x² + 16x + 8
Find the solutions of 5x^2 -20x +20= 0
Answers
Answer:
x = 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
5(2)²-20(2)+20=0
20-40+20=0
0=0
Brookside Grocery sponsored a team in the local charity run. The ages of the runners are shown below. 35, 23, 45, 21, 18, 19, 54, 46, 37, 25, 29, 18, 33 A histogram is made using the runners' ages. Which quantity best represents the bar on a histogram that shows the age range 25-34?
Answers
Answer:
4
Step-by-step explanation:
y = 100(1.25)
A. Does this function represent exponential
growth or exponential decay?
B. What is your initial value?
C. What is the rate of growth or rate of decay?
help me pls
Answers
Initial is 100
Rate of growth is 1.25
Find the area of the shaded region. Round your answer to the nearest hundredth.
Two concentric circles such that the inner circle divides the radius of outer circle into two segments of equal lengths labeled 8 centimeters. The region formed between two circles and one diameter of outer circle is shaded. The diameter makes an arc that measures 180 degrees.
The area is about ??? square centimeters. (if you have another answer you can add me on discord ^LoneLai^#0320)
Answers
Answer:
FIRSTLY GET THE AREA OF THE WHOLE CIRCLE BY USING FORMULA [tex]pi \times r ^2[/tex]THEN AFTER THAT DIVIDE THE AREA BY 2AFTER THAT UR ANSWER WILL COMEPLEASE MARK ME AS BRAINLIEST
Thus the area of shaded region is 301.5 cm^2.
What is circle?"The collection of all points equidistant from a fixed point in a plane is called a circle".
For the given situation,
The radius of the inner circle be r = 8 cm and
the radius of the outer circle be R = 16 cm
The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]
Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]
⇒[tex]200.96[/tex]
≈[tex]201[/tex]
Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]
⇒[tex]803.84[/tex]
≈[tex]804[/tex]
The shaded region replicates the semicircle. So,
Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]
⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]
⇒[tex]402-100.5[/tex]
⇒[tex]301.5 cm^{2}[/tex]
Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]
Learn more about circles here
https://brainly.com/question/1297097
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