Given:
The volume of a cuboid = 275 cm³
The base area of the cuboid = 25 cm²
To find:
The height of the cuboid.
Solution:
We know that, the volume of a cuboid is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth and h is the height.
It is also written as:
[tex]V=B\times h[/tex] ...(i)
Where, B is the base area and h is the height of the cuboid.
Putting [tex]V=275, B=25[/tex] in (i), we get
[tex]275=25\times h[/tex]
[tex]275=25h[/tex]
[tex]\dfrac{275}{25}=h[/tex]
[tex]11=h[/tex]
Therefore, the height of the cuboid is 11.
Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income
Answer:
3750$
Step-by-step explanation:
Let x be the amount in dollars of sales:
125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)
0.02x = 75
x = 3750
Question 9 The spinner pictured is spun 100 times and lands in sector A 40 times. What is the experimental probability of the spinner landing on the sector labeled A? NEED ANSWER ASAP FOR A TEST
A question on my test:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answer:
180degrees
Step-by-step explanation:
Given the expression cos^2x - cos x - 2 = 0
Let P = cos x
P^2 - P - 2 = 0
Factorize
P^2 - 2P + P - 2 =0
P(P-2)+1(P-2) = 0
P-2 = 0 and P + 1 = 0
P = 2 and P = -1
Since P = cos x
cos x = -1
x = arccos(-1)
x = 180degrees
Hence the require angle is 180degrees
Find the area of the figure F2 cm
2 cm
5 cm
5 cm
Answer:
the answer would be 20cm^2 i took a quiz.
Step-by-step explanation:
Can a triangle have two 30° angles? two 60° angles? two 90° angles? Explain.
Answer:
Step-by-step explanation:
Two 30 - yes, 180 - 30 - 30 = 120. It is possible for 2 angles to be 30, the remaining angle would also be 120
Two 60 - yes, 180 - 60 - 60 = 60. It is possible for 2 angles to be 60, the remaining angle would also be 60
Two 90 - Not possible. The entire angles of a triangle have to equal 180, this would mean only 2 angles.
Anyone know this?I need help
Answer:
One of the legs is missing; the leg missing is 16 inches long
Step-by-step explanation:
Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).
20² - 12² = x²
400 - 144 = x
400 - 144 = 256
√256 = 16
What is the measure of o?
4 cm
e
12 cm
O A. 4 radians
O B. 3s radians
O c. 3 radians
O D. 4radians
plss helppp
==============================================
Work Shown:
L = arc length = 12 cmtheta = angle in radians = unknownr = radius = 4 cmL = theta*r
12 = theta*4
12/4 = theta
3 = theta
theta = 3 radians, choice C is the answer.
--------
Side note: The formula L = theta*r only works if theta is in radians.
If theta is in degrees, then use L = (theta/360)*2pi*r. So you can see that radian mode is much easier in this case.
Suppose that the width of a rectangular garden is (6 − 2√3) ft. And the length of the garden is (3 + √3) ft. (a) Find the area of the garden in simplest radical form. (2 points)
Answer:
A = 12 feet²
Step-by-step explanation:
Given that,
The width of a rectangular garden is (6 − 2√3) ft.
The length of the garden is (3 + √3) ft.
We need to find the area of the garden. The area of a rectangle is given by :
A = lb
Put all the values,
A = (6 − 2√3)(3 + √3)
A = 12 feet²
So, the area of the garden is equal to 12 feet².
Which property of polynomial addition says that the sum of two polynomials is always a polynomial
Josh lit a 14 in candle. She noticed that it wad getting an inch shorter every 30 minutes. Write an equation in y=mx+b form to medel this situation. Let x be the number of hours and y be the total height of the candle
Answer:
y = -1/30x + 14
Step-by-step explanation:
Height (changing by -1) is the dependent variable, therefore is represented by y
Time (changing by +30) is the independent variable, therefore is represented by x
14 = where we started from
Slope = Change in y / Change in x
Slope = -1/30x
Equation = -1/30x + 14
Hope this helps!
four friends contributed the sum of money to a charitable organization in the ratio 1:3:5:7. if the largest amount contrebuted is birr 35. calculate the total amount contributed by the four people
9514 1404 393
Answer:
birr 80
Step-by-step explanation:
The total number of ratio units is 1+3+5+7 = 16. The largest amount is represented by 7 ratio units, so is 7/16 of the total. The total contributed is ...
16/7 × (birr 35) = birr 80
Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How did you find your answer? b. If 39 is 10% of a number, what is that number? How did you find your answer? c. If 39 is 5% of a number, what is that number? How did you find your answer? d. If 39 is 15% of a number, what is that number? How did you find your answer?
Answer:
Step-by-step explanation:
Given: 39 = 0.01n
Move the decimal point on each side two places to the right: 3900 = n
What is the value of the expression 2 + 32 ⋅ (5 − 1)? 31 32 37 38
Answer:
38
Step-by-step explanation:
Pemdas
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
Quick plz help this is from Khan ( 40,90,X)
Answer:
Hello! answer: 45 degrees
Step-by-step explanation:
90 - 45 = 45 therefore x = 45 hope that helps!
Answer:
90 minus 45 equals 45 so x is 45 :)
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
Answer:
Step-by-step explanation:
principal=rs 9450
time=5 years
rate=6%
Interest=PTR/100
=9450*5*6/100
=283500/100
=rs 2835
Total amount=Interest+principal
=rs 2835+rs 9450
=rs12285
Ginny paid $4.16 for a sandwich. She paid $0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.01 moneyyyyyy lollll
Answer:
$5.11
Step-by-step explanation:
Alexey wrote '1*2*3*... 9 = 21' on the board, inserting a plus or minus signs in place of each little star. Sasha changed some of these signs to their opposites so that the result he got was 20. Prove that one of the boys made a mistake.
1.
40cm
40cm
85cm
Can a one metre rod fit inside of the box?
Explain your answer
Answer:
donknow
Step-by-step explanation:
NO FILES OR LINKS PLEASE
8
Veronica is trying to prove 4ABC = ADEF.
B
E
A A
F
с
A А
D
Which statement would not help to prove the two
triangles congruent?
O A. ZC = ZF
O B. BC = EF
C. ZA ZD
. E
OD. DE = AB
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC = \triangle DE F[/tex]
Required
Which would not prove the similarity
[tex]\triangle ABC = \triangle DE F[/tex] implies that:
The following angles are congruent
[tex]\angle A = \angle D[/tex]
[tex]\angle B =\angle E[/tex]
[tex]\angle C =\angle F[/tex]
And the following lengths are congruent
[tex]AB = DE[/tex]
[tex]BC =EF[/tex]
[tex]CA = FD[/tex]
The options are not clear; so, it's a bit difficult to select the correct option.
Any of the options that is different from the above list of 6 congruent pairs is the answer to your question.
Simplify the following expression completely.
{x^2+11x+28}
{x^2+x-12}
wrote like division
Answer:
[tex] \frac{x + 7 }{x - 3} [/tex]
Step-by-step explanation:
First factorize both expressions
[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]
Now you can cross out x+4
and you'll be left with
[tex] \frac{x + 7}{x - 3} [/tex]
Look at the graph below.
Which point can you add to the graph to make this graph NOT A
FUNCTION?
(2,6)
(5.3)
(7.5)
(8,8)
Answer:
B. (5, 3)Step-by-step explanation:
Given points:
(3, 5), (5, 8), (9, 7)The graph should have a same x-value with a different y-value.
From the list we have only point (5, 3) which makes this a non-functional relationship.
Correct choice is B
Points here are
(3,5)(5,8)(9,7)As per definition of function
Every domain has a unique rangeCheck option B
If we put than
The. f(5) would have 2 values 8 and 3
Which won't be a function
BRIANLIST ANSWER!! Please help on this one question ( if you’re good at this) thanks :))
Answer:
Step-by-step explanation:
(21²+10²)½ = 23.25= 23.3
PLSSS
please help me get the answer and how to show my work
Answer:
Surface area of cubic box = 376 square inch
Step-by-step explanation:
Given:
Using net diagram
Length of cubic box = 10 inches
Width of cubic box = 6 inches
Height of cubic box = 8 inches
Find:
Surface area of cubic box
Computation:
Surface area of cuboid = 2[(lb) + (bh) + (hl)]
Surface area of cubic box = 2[(10)(6) + (6)(8) + (8)(10)]
Surface area of cubic box = 2[60 + 48 + 80]
Surface area of cubic box = 2[188]
Surface area of cubic box = 376 square inch
ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15
Answer:
-2x-15
Step-by-step explanation:
Answer: C. -2x-15
Step-by-step explanation: 5 + 5(x – 4) – 7x
5(x-4)-7x+5
(5x-5×4)-7x+5
5x-20-7x+5
5x-7x-20+5
-2x-15
When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US
dollar. He took d dollars on the trip. Which equation could be used to find
the value in Swedish krona, k, of the dollars?
PLS HELP ASAP
Answer:
k=0.12d
Step-by-step explanation:
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. what linear eqution?
NEED HELP ASAP
Solve the problem below.
(x - 5)² + 7y, if x = 144 and y = 16
Answer:
19433
Step-by-step explanation:
Substitute x = 144 and y = 16 into the expression
(144 - 5)² + 7(16)
= 139² + 112
= 19321 + 112
= 19433
PLEASSE HELP MEEE!!!!!!1
Answer:
2 cuts
Step-by-step explanation:
Get the height of the tree first
Using SOH CAH TOA identity;
Sin theta = opp/hyp
Sin 70 = /6
H = 6sin70
H = 6(0.9397)
H = 5.6381
Hence the height of the tree is 5.64m
Initial cut = 4m
Remaining height of trunk = 5.64 - 4 = 1.64
This means that he only need to make 2 cuts to cart the whole tree away
what should be subtracted from (1/2+1/3+1/4) to get -2
1/2 + 1/3 + 1/4 - x = - 2
6/12 + 4/12 + 3/12 - x = - 2
6 + 4 + 3 / 12 - x = - 2
13/12 - x = - 2
x = 13/12 + 2
x = 13/12 + 24/12
x = 37/12 Or x = 3 1/12
Answer:
x = 37/12 Or x = 3 1/12
Step-by-step explanation:
1/2 + 1/3 + 1/4 - x = - 2
6/12 + 4/12 + 3/12 - x = - 2
6 + 4 + 3 / 12 - x = - 2
13/12 - x = - 2
x = 13/12 + 2
x = 13/12 + 24/12
x = 37/12 Or x = 3 1/12