The diagram shows a cuboid.
6 cm
The height of the cuboid is 6 cm.
The volume of the cuboid is 90 cm.
What is the area of the shaded face?
Answers
Answer:
length x width x 6 = 90
area of shaded face = 15
The area of the shaded region is 15 square cm.
What is area?
The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of rectangle[tex]Area = lb[/tex]
Where,
l is the length of the rectangle.
b is the breadth of the rectangle.
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid.
Formula for volume of cuboidvolume = length × breadth × height
According to the given question.
We have,
Height of the cuboid = 6cm
Volume of the cuboid = 90 cubic cm.
⇒ length × breadth × height = 90
⇒ length × breadth × 6 = 90
⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]
⇒ length × breadth = 15 square cm....(i)
Since, the area of shaded region = length × breadth
From (i)
Length × breadth = 15 square cm .
Hence, the area of the shaded region is 15 square cm.
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Related Questions
if F(x)=2x^2-5 and g(x)=3x+3, find (f-g)(x)
A.2x^2-3x-8
B.-x^2-8
C.3x-2x^2-2
D.2x^2-3x-2
Answers
Answer:
work is pictured and shown
What is the domain of the function on the graph?
Answers
Answer:
D: [-3, ∞)
Step-by-step explanation:
The x values go from -3 to infinity
The domain is the set of valid x values. That's all real numbers -3 and up, last choice.
$320 is invested in an account earning 8.1% interest (APR), compounded quarterly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent
Answers
Answer:
Step-by-step explanation:
Given that:
The investment amount in account = $ 320
The rate of interest is = 8.1% compounded quarterly
Compunded quarterly means 8.1% / 4 = 0.02025
The time period = t years
The objective is to write a function showing the value of the account after t years.
From compound interest , compounded monthly.
[tex]Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}[/tex]
[tex]= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}[/tex]
[tex]= 320*(1+ 1.6875*10^{-5})^{12t}[/tex]
[tex]= 320 * ( 1.000016875)^{12t}[/tex]
Thus; the function after t years [tex]= $320 * ( 1.000016875)^{12t}[/tex]
The percentage of growth per year is :
= (1 + 0.02025)^4 - 1
= 1.083493758 - 1
= 0.083493758
= 8.4 % (APY) yearly
3. Sophia had 1/4 of her birthday cake leftover. She split that cake
between her and her best friend. How much of the cake did they each
get?
Answers
Answer:
1/8 of the original cake.
1/8 = 0.125
Step-by-step explanation:
The easiest way to do this is with decimals.
1/4 = 0.25
Each of the girls gets 0.25/2 = 0.125
Each girl gets 1/8 of the cake or 0.125 of the cake.
Find the difference quotient of f; that is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6
Answers
Answer:
-4
Step-by-step explanation:
Given the following function:
f(x) = -4x + 6
We have to find the difference quotient of f(x); that is,
[f(x + h) - f(x)]/h
So, we ned to compute f(x + h) as follows:
f(x+h) = -4(x+h) + 6 = -4x - 4h + 6
Replacing into the difference quotient, we get:
[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h
[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h
[f(x + h) - f(x)]/h = [- 4h)]/h
[f(x + h) - f(x)]/h = -4
Identify a 1 in this sequence 13,15,17,19
Answers
Answer:
13
Step-by-step explanation:
a₁ represents the first term in the sequence. Here the first term is 13, thus
a₁ = 13
HELP ASAP PLEASE
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Answers
Answer:
Step-by-step explanation:
The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5
yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
Answer:
yes
Step-by-step explanation:
i tried explaining it in a way that it wouldn't sound like I'm copying the answer above, but really, the answer above is correct and explains it well, refer to the answer above please
Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of an=5an-1 for which the first term is 23?
Answers
Answer:
D
Step-by-step explanation:
The explicit rule for a geometric sequence is
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 23 and from the recursive formula
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] , then r = 5 , thus explicit formula is
[tex]a_{n}[/tex] = 23 × [tex]5^{n-1}[/tex] → D
The correct option is D.
The calculation is as follows:The explicit rule for a geometric sequence is
[tex]an = ar^{n-1}[/tex]
Here
a represents the first term
r represents the common ratio
So,
[tex]a_n = 5a_{n-1}[/tex]
So,
[tex]a_n = 23\times 5^{n-1}[/tex]
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PLS HELP it is urgent and my homework due soon
Answers
Answer:
a) (1 , 4)
b) (-1 , 0) and (3 , 0)
Step-by-step explanation:
The turning point also call the vertex of the function is shown by in this case the maximum which is at the point (1 , 4). The roots, also known as zeros, are the values at which the graph crosses the x-axis. In this case it is at points: (-1 , 0) and (3 , 0)
Which number is a solution of the inequality −7x−3.5<−10.5
A. −3
B. −1
C. 1
D. 3
Answers
Answer: x > 1
Step-by-step explanation:
Is (0, 4) a solution to the equation y = x?
Answers
Answer:
No
Step-by-step explanation:
Plug x=0 and y=4 into y=x
4 doesn't equal 0
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00
Answers
Answer:
B 6.00
Step-by-step explanation:
M= 6$
C= 9$
M+C= 6+9= 15$ per hour
solve for k. 2.5(4k+2) =12k
Answers
Answer:
2.5
Step-by-step explanation:
2.5(4k+2) =12k
2.5*6k=12k
Answer: 2.5
Step-by-step explanation:
A skier slides down a 750 m slope in 12.5 s. What is the average
velocity for the trip?
Answers
Answer:
The average velocity for the skier is exactly 60 meters per second.
Step-by-step explanation:
Divide the distance which is 750 meters and 12.5 seconds and you get 60 meters per second. Velocity formula --> 750 meters / 12.5 seconds = 60 m/seconds.
Plz mark brainliest if u r cool
HELP ASAP :(
How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answers
Answer:
1. 4
2. -4
3. -4
Step-by-step explanation:
Let's look carefully at each problem and explain it.
1. (-2)^2
This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then
(-2)^2 means the product (-2) * (-2),
and since the product of two negative numbers is positive, then
(-2)^2 = (-2) * (-2) = 4
Answer is 4.
2. -2^2
Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as
-(2^2)
-2^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4.
3. -(2)^2
This is the same as problem 2 above. You square the 2 first, then take its negative.
-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4
Determine the value of k. answers: A) 18° B) 180° C) 108° D) 97°
Answers
Answer:
C) 108°
Step-by-step explanation:
72°+k°=180° (straight line)
Subtract 72° from both sides
k°=108°
Our answer is C)108°.
Value of k = 108°
The correct option is C.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In a triangle,
Interior angles are
A = 72°,
B = 83° and
C = 25°
exterior angle A = k°
Exterior angle A = Interior angle B + Interior angle C
k = 83° + 25°
k = 108°
Hence, 108° is the value of k.
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PLZZ HELPP Why is it important to simplify rational expressions before multiplying or dividing? How do you determine that a rational expression is in simplest form? Compare the process to addition and subtraction.
Answers
Answer:
"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.
To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."
Step-by-step explanation:
the diagram shows a dilation of line AB about the origin O. Determine the scale factor of the dilation by following these steps.
Answers
Answer:
The scale factor is 1.5
Step-by-step explanation:
In the picture attached, the line AB is shown.
The first 3 steps are to measure some lengths
OA = 2 units OA’ = 3 units OB = 3 units OB’ = 4.5 unitsAB = 2.2 A’B’= 3.3The last 3 steps are to compute these ratios
OA'/OA = 3/2 = 1.5 OB'/OB = 4.5/3 = 1.5 A'B'/AB = 3.3/2.2 = 1.5Answer:
see explanation
Step-by-step explanation:
1. Measure these lengths:
OA - 2.0 units
OA' - 3.0 units
2. Measure these lengths:
OB - 3.0
OB' - 4.5
3. Measure these length's:
AB - 2.2
AB' - 3.3
4. Calculate the ration: OA' / OA = 1.5
5. Calculate this ratio: OB' / OB = 1.5
6. Calculate this ratio: A'B' / AB = 1.5
find the sum -1/3+(-5/9)
Answers
Answer:
-8/9
Step-by-step explanation:
First of all you have to make -1/3 into a fraction that you can add with (-5/9).
-1/3 turns into -3/9.
-3/9 + (-5/9) is -8/9
Answer:
[tex] - \frac{8}{9} [/tex]
Step-by-step explanation:
We know that,
[tex]( + ) \times ( - ) = ( - )[/tex]
lets solve
[tex] - \frac{1}{3} + ( - \frac{5}{9} ) \\ - \frac{1}{3} - \frac{5}{9} \\ = \frac{ - 1 \times 3 - 5}{9} \\ = \frac{ - 8}{9} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Could anyone plz help me with this question ?
Answers
Answer:
45
Step-by-step explanation:
b and c are part of an 180 degrees angle.
You already have a 90 degrees angle
180-90=90
And since there are 2 angles
90/2=45
And b and c are vertical angles
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6
Answers
Answer:
D. g(x) = (x + 4)2 + 6
Step-by-step explanation:
I just took the test and this was the correct answer
Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular?
A. You can use a relative frequency table to examine how data sets are related by comparing percentages.
B. Row and column relative frequency tables tell you the same information as total relative frequency tables.
C. A column relative frequency table helps compare data in two different rows.
D. In a column two-way relative frequency table, each column totals 100%.
Answers
Step-by-step explanation:
D. In a column two-way relative frequency table, each column totals 100%.
A) work out (8 x 10^-3) x (2 x 10^-4). Give your answer in standard form.
B) work out (6 x 10^2) ÷ (3 x 10^-5). Give your answer in standard form.
Answers
Step-by-step explanation:
[tex]A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]
How many degrees does the protractor show for the given angle
A. 35
B. 175
C. 175
D. 15
Please help with this I need help with it
Answers
Answer: 15 degrees
Step-by-step explanation:
180 degrees - 165 degrees = 15 degrees
Which is the best estimate for the sum 2/9 +10/11 ?
A. 0 + 0 = 0
B. 12+12=1
C. 1 + 1 = 2
D. 0 + 1 = 1
Answers
Answer:
D
Step-by-step explanation:
If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16
Answers
Answer: C 12
Step-by-step explanation:
ALL possible outcomes
1 tails
2 tails
3 tails
4 tails
5 tails
6 tails
1 Heads
2 Heads
3 Heads
4 Heads
5 Heads
6 Heads
so its 12 total outcomes
Answer:
12
Step-by-step explanation:
go ask edge
Consider the function represented by the graph.
What is the domain of this function?
(A).{x|x>_0}
(B).{x|x<_8}
(C).{x|0<_x<_8}
(D).{x|x<_0x>_8}
Answers
Answer: C
Step-by-step explanation:
Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.
GA ∩ TN = I
∆GIT ≅ ∆________
By rule _________
Answers
Answer:
GIT is congruent to AIN
By rule SAS
Step-by-step explanation:
welp hope this helps
Which graph has a slope of -3?
Answers
Answer:
fourth picture
Step-by-step explanation:
What company should he rent from
