question:
How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?
Step-by-step explanation:
81 cubes are needed to fill the prism
Step-by-step explanation:
Volume of prism = 3 cubic units
Side lengths of cube = 1/3
Therefore the volume of the cube is,
V = a³ (a = side of the cube)
V = 1/3 × 1/3 × 1/3
= ( 1/3 )³
= 1/27 cubic units
To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.
Number of cubes to fill the prism= Volume of prism / Volume of cube
= 3÷1/27
=3×27/1
= 81
Therefore, 81 cubes are needed to fill the prism
7) Find the area of a triangle with a base of 20m and a height of 12m? * 1 point 120 m2 O 100 m2 O 240 im2 60 m2
Answer:
option A is correct
Step-by-step explanation:
Base=20m
Height=12h
We know that,
Area=1/2×Height×Base╭☞Area=1/2×20×12
╭☞1/2×240
╭☞240/2
╭☞120m^2
Write a quadratic equation in standard form that has the following solutions: x = 4/3 and x = - 2/5
Answer:
15x^2 - 14x - 8 = 0.
Step-by-step explanation:
(x - 4/3)(x + 2/5) = 0
Converted to integer values by multiplying the first bracket by 3 and the second by 5:
(3x - 4)(5x + 2) = 0
Expanding the brackets:
15x^2 + 6x - 20x - 8 = 0
15x^2 - 14x - 8 = 0.
Find the surface area
Answer:
SA= 113.3
Step-by-step explanation:
You would add all sides given to you to find the surface area.
Calculate the volume of this prism
20 cm
30 cm
10 cm
Answer:
[tex]6000(cm)^{3} [/tex]
Step-by-step explanation:
[tex]30 \times 10 \times 20[/tex]
[tex]300 \times 20[/tex]
[tex]6000(cm)^{3} [/tex]
Hope it is helpful...Plssssssssss help me
Answer:
B
Step-by-step explanation:
Draw a line from the top of the 3 m line to the 10 m line so that the new line meets the the 10 meter line at right angles. The part you are interested in should be 4 meters long.
Top rectangle.
Area = L * W
L = 7 (10 - 3 = 7)
W = 4
Area = 4* 7 = 28
Bottom rectangle
Area = L * W
L = 12
W = 3
Area = 12 * 3 36
Total Area 64
Cornelius is building a solar system model. He plans on making a circular ring around one of the planets out of wire. He wants to know how long he should make the wire to position around the planet. Select all the formulas that coulr be used to determine the length of the circular ring.
Answer:
[tex]C = 2\pi r[/tex]
[tex]C = \pi d[/tex]
Step-by-step explanation:
Given
A circular ring
Required
The length
Let
[tex]r \to[/tex] the radius of the ring
The length is calculated by calculating the circumference of the ring.
This is calculated using:
[tex]C = 2\pi r[/tex]
or
[tex]C = \pi d[/tex]
Where
[tex]d \to[/tex] diameter
and [tex]d = 2r[/tex]
Solve the following equation using the zero prouduct property (x+9)(4x-1)=0
Answer:-9
1
Distribute
x
(
4
x
−
1
)
+
9
(
4
x
−
1
)
=
0
x(4x−1)+9(4x−1)=0
2
Distribute
4
x
2
−
x
+
9
(
4
x
−
1
)
=
0
4x
2
−x+9(4x−1)=0
3
Distribute
4
x
2
−
x
+
36
x
−
9
=
0
4x
2
−x+36x−9=0
4
Combine like terms
4
x
2
+
35
x
−
9
=
0
4x
2
+35x−9=0
5
Use the quadratic formula
x
=
−
35
±
35
2
−
4
⋅
4
(
−
9
)
2
⋅
4
x=
2⋅4
−35±
35
2
−4⋅4(−9)
6
Simplify
x
=
−
35
±
37
8
x=
8
−35±37
7
Separate the equations
x
=
−
35
+
37
8
x
=
−
35
−
37
8
x=
8
−35+37
x=
8
−35−37
8
Solve
x
=
1
4
x
=
−
9
x=
4
1
x=−9
Which expression is equivalent to 2 (t -4) + 1
Answer:
2t-7
Step-by-step explanation:
2(t-4)+1
When you multiply out the two, you get:
2(t) - 2(4) +1
2t - 8 + 1
2t-7
Answer:
2t-7
Step-by-step explanation:
10) The Red bus company charges $100 plus
$50 per hour to rent a bus. The Blue bus
company charges $200 plus $25 per hour.
After how many hours do the bus
companies charge the same amount?
Answer:
After 4 hours of renting the bus both companies would charge 300 dollars.
Answer:
4 hours
Step-by-step explanation:
$100 (base price) + 200 (4 hrs at a $50 rate) = $300
$200 (base price) + $100 (4 hours at a $25 rate) = $300
Centerville has a population of 18,000. People under the
age of 18 make up 23% of the town's population. How
many people under the age of 18 live in Centerville??
Answer:4140
Step-by-step explanation: I’m just to beast
Maria is serving shrimp cocktail at a party. She estimates that she will need 5 shrimp for each guest. A 12-ounce bag of shrimp contains approximately 26 shrimp. How many bags of shrimp should she buy to serve 50 guests?
pls help
(a) Fill in the tavle below to complete the proability distrubution of X
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
(b) compute the mean of random variable x
Answer:
2.6
Step-by-step explanation:
Given :
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
Σp(x) = 1
Hence, 0.3 + 0.2 +? + 0.4 = 1
0.9 +? = 1
? = 1 - 0.9
? = 0.1
For the mean :
E(X) = ΣX*P(X)
(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)
0.3 + 0.4 + 0.3 + 1.6 = 2.6
Hence, the mean = 2.6
Given a cone with height of 10 cm and a base radius of 9 cm, what is the volume of the cone? Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
848 is the answer
The volume of the cone is approximately 282.74 cubic centimeters.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The formula for the volume of a cone is V = (1/3)πr²h,
where r is the radius of the base and h is the height of the cone.
Substituting the given values.V = (1/3)π(9 cm)²(10 cm)
V = (1/3)π(81 cm²)(10 cm)
V = (1/3)π(810 cm³)
V = (270/3)π cm³
V = 90π cm³
V ≈ 282.74 cm³ (rounded to the nearest tenth)
Therefore,
The volume of the cone is approximately 282.74 cubic centimeters.
Learn more about cones here:
https://brainly.com/question/13798146
#SPJ3
Find the area of the shaded region
Answer:
249.9
Step-by-step explanation:
Area of the shaded region is 223.72 square units.
Step-by-step explanation:
Area of the shaded region = Area of parallelogram - Area of triangle
Area of the parallelogram = base x height
= 23.8 x 15
= 357 square feet
Area of triangle = \frac{1}{2}
2
1
x base x height
Let the height of the triangle be represented by h, applying the Pythagoras theorem;
23.8^{2}23.8
2
= 21^{2}21
2
+ h^{2}h
2
566.44 = 441 + h^{2}h2
h^{2}h
2= 125.44
h = \sqrt{125.44}
125.44
= 11.2
h = 11.2
Area of the triangle = \frac{1}{2}
21 x 23.8 x 11.2 = 133.28
Area of shaded region = 357 - 133.28
= 223.72
Area of the shaded region is 223.72 square units.
Ms Adams shares out 28 pencils between Niamh and Jack in the ratio 2:5 How many pencils does each child get?
Answer:
Niamh gets 8 and Jack gets 20
Step-by-step explanation:
Answer:
Niamh gets 8 and Jack gets 20!
A truck driver is hauling furniture for a moving job. He travels an average
of 40 miles per hour. It takes a total of 17 hours to reach his destination.
How many miles is it to his destination?
Answer:
680 miles
Step-by-step explanation:
Multiply the mph by the total hours to get your answer
40 × 17 = 680
Have a great day! :)
Answer:
680 Miles
Step-by-step explanation: Miles per hour times Hours
40 times 17
4(c-3)-8 what is the value of c
Answer:
Did you mean 4c-12=8? If so, the value of c is 5.
Step-by-step explanation:
Answer:
4c-12=8 the value of c is 5.
Step-by-step explanation:
4x and -4x
Like or
Unlike
Answer:
unlike
Step-by-step explanation:
Describe the event as impossible, unlikely, equally likely, likely, or certain.
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
first to answer gets brainlyest
Answer:
likely
Step-by-step explanation:
100% is certain, likely is around 75%, equally is around 50%, and unlikely is around 25%
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
[tex]\sf{\dfrac{75}{100} }[/tex] [tex]\sf{\dfrac{3}{4} }[/tex]The probability of rain is 3/4
help pls I have school in and hours
Answer:
2/5 = 40% 16/25 = 64% 9/25 = 36% 21/50 = 42%
Step-by-step explanation:
2 divided by 5 is .40. to make it a percentage move the decimal to the right two times. the same with the rest of the questions. numerator diveded by denominator, then move the decimal to the right 2 times. good luck hope i helped!
Please help me if anyone can
Answer:
V is proportional
Step-by-step explanation:proportion rule for b is x:4y
12) If there was a tax of 7%, what is the final deconstructed percent? *
7 points
107%
1.07%
7%
93%
Elisa y su sombra forman un ángulo recto . La sombra anide 1,2 m y el ángulo con el que se ve la parte superior de su cabeza desde el extremo de la sombra mide 54° 50° . Calcular la altura de Elisa
Answer:
h = 1.65 m
Step-by-step explanation:
Me parece que el problema está mal formulado por lo siguiente:
El angulo al que se refiere el problema es 54° o es 50° o es 54°,50´
Como resolver el problema en cualquier caso.
Si Elisa y su sombra forman un angulo recto, entonces Elisa, su sombra y la distancia entre la cabeza de Eliza y el final de su sombra forman un triangulo rectangulo. Para el cual entonces solo es necesario buscar la tangente del angulo ( cateto opuesto sobre cateto adyacente) como conocemos el cateto adyacente ( la sombra de Elisa ) calculamos la altura de Elisa (h).
Asumamos que el angulo es de 54° entonces
tang 54° = 1.3763
tang 54° = 1.3763 = h/1.2
h = 1,3763*1,2 m
h = 1.65 m
De igual manera se procedería si el angulo es de 50° ( en este caso la tang 50° = 1.1917
Find the expected value of the winnings
from a game that has the following
AWARDING BRAINLEST ANSWER!! PLZ I NEED HELP!!
payout probability distribution:
Payout ($)
0
5
8
10
15
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Answer:
The answer is 3.95
Step-by-step explanation:
0×.5 + 5×.2 + 8×.15 + 10×.1 + 15×.05 = ?
0 + 1 + 1.2 + 1 + .75 = 3.95
What is the measure in degrees of GR?
Answer:
80 degrees
Step-by-step explanation:
180 - 20 = 160. 160 / 2 = 80. They're both the same lines so they should have the same angles.
You just brought a tank for your fishes. You have a height of 6ft. The length is 5times the width w. The volume of the tank is 600 ft^3. What is the width of the tank to the nearest tenth of a foot? The formula is V = (l)(w)(h)
Answer:
w = 20 feet
Step-by-step explanation:
V = lwh
600 = 5(6)w
600 = 30w
w = 20
* will mark brainliest *
Find the Volume of the Cone. Use 3.14 for pi. Round your answer to the nearest whole number.
Answer: 23349 in^3
Step-by-step explanation:
what is
78x98=
34x65=
45x78=
23x65
11x98=
1,029x75,674=
Answer:
78x98 7644
34x65 2210
45x65 2925
23x65 1495
11x98 1078
1029x75674 77868546
what is 30.84 round to the nearest hundredth
Answer:
30.8
Step-by-step explanation: round bozo
here's a pic pls helpp
Answer: your answer is B 3/4
Step-by-step explanation:
Hope this helps you! Have a great day! ^v^
Answer:
[tex]x = \frac{3}{4} [/tex]Step-by-step explanation:
[tex] \frac{x}{3} = \frac{1}{4} [/tex][tex]3 \times \frac{x}{3} = 3 \times \frac{1}{4} [/tex][tex]x = 3 \times \frac{1}{4} [/tex][tex]x = \frac{3}{4} [/tex]Hope it is helpful....