Answer:
382 cm²
Step-by-step explanation:
The shape can be decomposed into two rectangular prism or cuboids
✔️Dimension of prism 1 (smaller prism):
L = 10 cm
W = 3 cm
H = 7 - 4 = 3 cm
Surface area of prism 1 = 2(LW + LH + WH)
= 2(10*3 + 10*3 + 3*3)
= 2(69)
Surface area of prism 1 = 138 cm²
✔️Dimension of prism 2 (larger prism):
L = 10 cm
W = 8 cm
H = 4 cm
Surface area of prism = 2(LW + LH + WH)
= 2(10*8 + 10*4 + 8*4)
= 2(152)
Surface area of prism 2 = 304 cm²
✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)
= (138 + 304) - (2 × L × W)
= 442 - (2 × 10 × 3)
= 442 - 60
= 382 cm²
What is the measure of
A.70
B.20
C.110
D.140
Answer:
complementary angles sum to 90° 90° - 70° = 20° complementary of 70° is 20°
What is the surface are of the box in square meters that Elizabeth decorates
Answer:
Step-by-step explanation:
Lesley will use more than 1/2 cup but less than 1 whole cup of flour for a recipe
Answer:
3/4
Step-by-step explanation:
3/4 is greater than 1/2 and still less than 1 whole.
What is the area of the top AND bottom faces?
Answer:
Top : 24cm²
Bottom : 24cm²
Step-by-step explanation:
Surface area : Base × Height
Top :
3 × 8 = 24
Bottom :
3 × 8 = 24
a tank holds 49 litres of oil. if 7 litres leaked what percentage of oul has leaked
The percentage of oil that has leaked from the tank is 14.29%.
Given the following data:
Tank capacity = 49 litres.Oil leakage = 7 litres.To determine the percentage of oil that has leaked from the tank:
How to calculate percentage.Mathematically, the percentage for the amount of oil leakage in this tank is given by this formula:
[tex]Percentage = \frac{Oil\;leakage}{Tank\;capacity} \times 100\\\\[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{7}{49} \times 100\\\\Percentage = 0.1429 \times 100[/tex]
Percentage = 14.29%.
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Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the total distance she ran and walked, d, as a function of t, the time she runs,in hours?
Answer:
d = 3.5t + 1
Step-by-step explanation:
The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.
d = 3.5t + 1
What are the factors of 12z
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answer:
C
Step-by-step explanation:
Factor the following: 18X - 6
6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW
Answer:
Answer is 6(3x-1)
Step-by-step explanation:
I hope it's helpful!
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
Area= 1/2bh
= 1/2 ( 16)(6)
=48 square yard.
triangles are ? sided and ? angles figures
What is an equation of the line that passes through the points (7,4) and (-5,4)
Answer:
y=4
Step-by-step explanation:
Consider the number line.
+
+
-1
0
1
What is the value of x on the number line?
А
-1.5
B
-0.5
с
0.5
D
1.5
a
-1.5
A fish is swimming at a constant rate toward the ocean floor. The equation
y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of this fish, given this equation? (DOK 3)
A
From a starting position of 3 meters below sea level, the fish is going down( descending) 7 meters per second
B
From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second
C
From a starting position of 7 meters below sea level, the fish is descending 3 meters per second
D
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second
Answer:
A
Step-by-step explanation: the -7x represents the 7 meters the fish is going down every second and the -3 would be the fish starting at 3 meter below sea level
The hypotenuse of a triangle measures 20.75 in., and one of the legs measures 17 in, what is the approximate length of the other leg of the triangle?
Graph the equations to solve the system y=2x+4 y=3x+3
Answer:
(1, 6)
General Formulas and Concepts:
Algebra I
Functions
Graphing
Reading a Cartesian Plane
Coordinates (x, y)Solving systems of equations by graphing
Step-by-step explanation:
Where the 2 equations intersect is the solutions to the systems of equations.
ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3
Answer:
B
Step-by-step explanation:
Decide if the expression is positive or negative. Explain in words how you know, please.
11/-3 and -11/-3
Answer:
The expression is negative
Step-by-step explanation:
11/-3 is negative
-11/-3 is positive
negative + positive or positive + negative = negative
what is the difference in length between the longest meteor and the shortest meteor
Answer:
Please show the full problem
Step-by-step explanation:
Answer:
If this is the same question the answer is 3 1/3
Step-by-step explanation:
A coin is flipped and a die is rolled find the probability of getting a head on the coin and a 4 on the die
Answer:
So for the head and tails one it is 1/1 chance of getting a head and for the dice on it is 1/21 that's the porbability hopes this helps :)
Step-by-step explanation:
Probability of getting a head on the coin and a 4 on the die is 0.083.
What is probability?Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Probability(Event) = Favorable Outcomes/Total Outcomes
According to the question
A coin is flipped and a die is rolled
Probability of getting a head on the coin and a 4 on the die:
Total Number of favorable outcomes(coin is flipped) = {H, T} = 2
Number of favorable outcomes (head) = 1
Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6} = 6
Number of favorable outcomes (4 on the die) = 1
P(head) = [tex]\frac{1}{2}[/tex]
P(4) = [tex]\frac{1}{6}[/tex]
P(head and 4) = [tex]\frac{1}{2}[/tex]. [tex]\frac{1}{6}[/tex]
= [tex]\frac{1}{12}[/tex]
= 0.083
Hence, Probability of getting a head on the coin and a 4 on the die is 0.083.
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Use the GCF to factor:
25 + 40
How many 1/5 are in 20? Enter your answer in the bo
Answer:
4
Step-by-step explanation:
20 devided by 1/5 is 4
Need help please. What is the area of the shaded region. Thank you so much.
Answer:
[tex]Area = 8\ unit^2[/tex]
Step-by-step explanation:
Given
The 7 * 3 grid
Required
Determine the area of the shaded
From the grid, 4 cells on 2 rows were shaded.
Since 1 grid cell = 1 unit.
The area is:
[tex]Area = 4\ unit * 2\ unit[/tex]
[tex]Area = 8\ unit^2[/tex]
SA = 2tr2 + 2trh (Use 3.14 for .) How much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches? square inches Do NOT round your answer.
Answer:
[tex]SA=61.26\ \text{inches}^2[/tex]
Step-by-step explanation:
The surface area of a cylinder is given by :
[tex]SA=2\pi r^2+2\pi rh[/tex]
Where
r is radius and h is height of the cylinder
We have, h = 5 inches and r = 3/2 = 1.5 inches
Put all the respected values.
[tex]SA=2\pi \times (1.5)^2+2\pi \times 1.5\times 5\\\\SA=61.26\ \text{inches}^2[/tex]
So, the surface area of the cylinder is equal to [tex]61.26\ \text{inches}^2[/tex].
Answer:
Answer: 61.23 / {I'm right trust me Acellus 2022}
Step-by-step explanation:
how much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches
Am I doing this right?
Answer:
Yes you are
You very much are doing the right thing
What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)
Answer:
y=2x+1
Step-by-step explanation:
y=mx+b
m=(13-5)/(6-2)
m=8/4
m=2
b=y-mx
b=5-2*2
b=5-4
b=1
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-5)/(6-2)
m=8/4
m=2
y-y1=m(x-x1)
y-5=2(x-2)
y-5=2x-4
y=2x-4+5
y=2x+1
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the original number
Answer:
4.99
Step-by-step explanation:
i cant remember how i got 4.99 but can show u how to check
= 55 + 4.99 = 59.99
59.99 divide 3 = 19.99666667
= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)
= 4.99 (was rounded)
WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!
Answer:
Step-by-step explanation:
x + (180-140) + (180-132) = 180
x = 92°
Which expresses shows another way to write 36+16?
4(9 + 4), because :
4 * 9 + 4 * 4 = 36 + 16