A storage bin is a rectangular prism that measuring 114 cm long by 56 cm high by
56 cm deep. What is the surface area of the exterior, in square feet?
Answer:
33.12 square feet
Step-by-step explanation:
Step 1
We convert the dimensions to feet
1 cm = 0.0328084 feet
Length = 114cm
Hence
114 cm = 114 × 0.0328084 feet
= 3.74016 feet
≈ 3.7 feet
Height = 56cm
Hence
56 cm = 56 × 0.0328084 feet
= 1.83727 feet
≈ 1.8 feet
Depth(width) = 56cm
Hence
56 cm = 56 × 0.0328084 feet
= 1.83727 feet
≈ 1.8 feet
Step 2
The surface area of the rectangular prism
A=2(wl+hl+hw)
=2× (1.8×3.7+ 1.8×3.7 + 1.8 ×1.8)
≈33.12 square feet
What is P(A ∩ B)?
A) 1/10
B) 1/2
C) 3/10
D) 4/5
Answer:
A)
[tex]P(A ∩ B) = \frac{2}{20} \\ = \frac{1}{10} [/tex]
6. A man invested $16,000. He invested a portion at 6% and the balance at 8%. If he receives $260 every 3
months, how much did he invest at each rate?
1 =
Let p = money invested at 6%. _512000
16,000 - p = money invested at 8% $4,000.
3 1
yr (We need to express time in terms of years. 3 months is of a year.)
12
I = $260
Check
260 = p(0.06 yrs £ ¥r) + (16,000 – p(0.08/yr) ( 4 yr)
260 (2000)(0.0 Gdyncdys)*
(1500072,000.00.0Vgn Gray)
260=180+80
260:260
2602020157 0.02(163000 €)
200=0.05p+320 -0.010
260=390-0.005p
200-320 -0.005
-Go
0.005
0=12000
So I have already solved this problem but I don’t really understand how I solved it if anyone could help me I would really appreciate it!
If the interest for 3 months is $260, then the total interest for the year is 4 times $260 or $1040.
Let x = amount invested at one of the rates, say 6%. This leaves the rest of the $16,000 or (16000-x) to be invested at the other rate, at 8%.
The equation is basically that the interest earned for 1 year at 6% plus the interest earned for the year at 8% is equal to the total interest for the year, or $1040.
.06x + .08(16000-x) = 1040
.06x + .08(16000) - .08x = 1040
-.02x + 1280 = 1040
Subtract 1280 from each side:
-.02x = 1040 - 1280
-.02x = -240
To solve for x, divide both sides by -.02, remembering that a negative divided by a negative is a negative.
x = 240/.02
Either divide with a calculator, or multiply numerator and denominator by 100 to eliminate the decimal.
x = 24000/2 = $12000 at 6%
16000-x = 16000-12000 = $4000 at 8%
⚠️⚠️⚠️⚠️help ⚠️⚠️⚠️⚠️Find the area of the shaded region inside the square, but outside the circle. Both the square and the circle are 10 cm wide.
Answer:
21cm^2
Step-by-step explanation:
Shaded area=square area- area of circle
Square area=10x10=100
Area of circle=pi r^2
d=2r=10
r=5
Area of circle =5^2pi=25pi=78.54≈79
Shaded area=100-79=21cm^2
Answer:
25
Step-by-step explanation:
95 - 3/4 what is the value of the expression
Answer:377 /4 = 94 and 1 / 4 =94.25
Step-by-step explanation:
Subtract
95 − 3 /4
= 377 / 4
Convert integer to fraction
95 = 95 / 1
Find common denominator
95 over 1
− 3 over 4
= ( 95 × 4 ) over ( 1 × 4 )
− ( 3 × 1 ) over ( 4 × 1 )
= 380 over 4
− 3 over 4
4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.
Subtract
380 over 4
− 3 / 4
= ( 380 − 3 ) / 4
= 377 /4
Simplify
377 / 4
= 94 and 1 /494
Reduce fraction to lowest terms
1 is the greatest common divisor of 377 and 4. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
377 /4
= 94 1 /4
377 ÷ 4 = 94 remainder 1
By writing the whole number as a fraction, we will see that the solution is 377/4
How to solve the expression?
Here we want to take the difference between a whole number and a fraction:
95 - 3/4
To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:
95 = (4/4)*95 = 380/4
Now we rewrite our expression as:
95 - 3/4 = 380/4 - 3/4 = 377/4
This is the solution of the expression.
If you want to learn more about fractions, you can read:
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Can you make a triangle with the lengths 4cm, 6cm and 8cm? If so, is it acute, obtuse or right?
Answer:
acute
Step-by-step explanation:
using the Pythagorean theorem, the numbers are too small so therefore it's acute
Hope this helps u :D
Solve the equation.
-3x + 1 + 10x = x + 4
O x=1/2
O x=12 /2
O x = 12
O x = 18
Answer:
a) x=1/2
Step-by-step explanation:
Plug In
-3 (1/2) + 1 + 10 (1/2) = 1/2 + 4
:)
Jill sold one third of her dolls and bought 15 more she now has 25 dolls with how many did she start?
Answer:
15
Step-by-step explanation:
sold 1/3 so 2/3 remain
(2/3)x + 15 = 25
Subtract 15 from both sides
(2/3)x = 10
Multiply both sides by 3/2
x = 15
trig questions above solve for x and round to the nearest tenth
Answer:
x= 51.3
x=35.1
Step-by-step explanation:
10.)
For this one we have the adjacent side and the hypotonouse
Which means we'll use CAH
cos(x)=25/40
x= 51.31781255
(assuming that we have to round to the nearest tenth again)
x=51.3
12.)
For this one we have the adjacent and hyptonouse
we'll use CAH again
cos(x)=27/33
x= 35.09680123
x=35.1
If 72 x 96 = 6927, 58 x 87 = 7885, then 79 x 86 = ?
79 x 86 is equal to 6,794.
If this helps, please mark me Brainliest!
Have a great day!
Plz help. If Mary bought 12 of the Brand X batteries, how many of them lasted less than 15 hours? (Please show how you calculated this to get your answer)
Answer:
I think it should be 1 hour ~~ (Not so sure)
Step-by-step explanation:
The 35 batteries are the conductors we need to stay alive and make things work.
We have given that,
If Mary bought 12 of the Brand X batteries.
We have to determine how many of them lasted less than 15 hours.
What is the meaning of the data model?
The data models are visual representations of an enterprise's data elements and the connections between them. By helping to define and structure data in the context of relevant business processes, models support the development of effective information systems.
The batteries are the conductors we need to stay alive and make things work.
Therefore from the graph, we have the answer is 35 batteries.
The 35 batteries are the conductors we need to stay alive and make things work.
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Please please help me!
Answer:
0, 3
Step-by-step explanation:
im pretty positive this is the correct answer enjoy
HELPPPPPPPPPPPPPPPPPPPPPPP
Answer:
k=5
Step-by-step explanation:
[tex]f(x)=x^2-6x+14[/tex]
[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]
[tex]f(x)-5=x^2-6x+9[/tex]
[tex]f(x)-5=(x-3)^2[/tex]
[tex]f(x)=(x-3)^2+5[/tex]
[tex]k=5[/tex]
PLEASEEE HURRRRY ANSWER THESE QUESTIONSSS
Answer:
5. We can already tell from the looks of it that she is using a different number for pi throughout her answers. Therefore it is C
6. 2 x 3.14 x 4.9 = 30.772 rounded would be 31, C is your answer. *formula of circumference:* pi(3.14 or 22/7 whatever they tell you to use for pi) x 2(its just always there when finding circumference) x radius(half of diameter or already given radius)
7. Let's just find the value of X on the top.
51(given degree) + 90(right angle degree) + X = 180(straight line degree)
51 + 90 + x = 180
141 + x = 180
-141 -141
X = 39
39 is the same to x beneath so therefore the value of x is 39 degrees.
Colin's bank account balance is d dollars. If he deposits a check for 50$. Write an expression to represent his new balance.
Answer:
D+50$
Step-by-step explanation:
it just is
pls help im not good at this
Answer:
1641.36 is how much he will pay for that stuff in one year
Step-by-step explanation:
$1641.36
Answer:
1641.36
Step-by-step explanation:
If the cost is 136.78 each month, and there are 12 months in a year, then 136.78*12 is the answer, which is equal to 1641.36.
-16(d + 1) = -20.
d=
value of d
Answer:
d=1/4
Step-by-step explanation:
-16(d+1)=-20
d+1=-20/-16
d+1=20/16
d+1=5/4
d=5/4-1
d=1/4
What is the perimeter of the triangle?
21
8
X
Answer:
Step-by-step explanation:
P=a+b+c
Right scalene triangle.
Sides: a = 21 b = 8 c = 22.472
Area: T = 84
Perimeter: p = 51.472
Semiperimeter: s = 25.736
Angle ∠ A = α = 69.146° = 69°8'44″ = 1.207 rad
Angle ∠ B = β = 20.854° = 20°51'16″ = 0.364 rad
Angle ∠ C = γ = 90° = 1.571 rad
Height: ha = 8
Height: hb = 21
Height: hc = 7.476
Median: ma = 13.2
Median: mb = 21.378
Median: mc = 11.236
Inradius: r = 3.264
Circumradius: R = 11.236
Vertex coordinates: A[22.472; 0] B[0; 0] C[19.624; 7.476]
Centroid: CG[14.032; 2.492]
Coordinates of the circumscribed circle: U[11.236; -0]
Coordinates of the inscribed circle: I[17.736; 3.264]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 110.854° = 110°51'16″ = 1.207 rad
∠ B' = β' = 159.146° = 159°8'44″ = 0.364 rad
∠ C' = γ' = 90° = 1.571 rad
I NEED HELP SOMEONE PLZZZ HELP ME PLZZZZ
Answer:
3
Step-by-step explanation:
Answer:
h = √18 (4.24)
Step-by-step explanation:
Theorem = a² + b² = c²
√34 - 4² = a²
√34 - 16 = a
√34 - 16 = 18
√18 = 4.2426406871192851464050661726291 (Rounded to nearest hundreth: 4.24; nearest tenth: 4.2; nearest one: 4)
What do the arrows heads indicate?
Answer:
These pictures that you draw with arrows and arrowheads are representations of abstract mathematical objects. A ray is a subset of a line that has a starting point and extends indefinitely in one direction (not the other). The arrowhead is meant to indicate that it goes on and on.May 9, 2015
Why do vectors have arrowheads at the "endpoint
according to
...https://math.stackexchange.com › questions › why-do-vec...
Provide proof for Brainlyiest ong moms
Answer:
5 cups
Step-by-step explanation:
1 1/3 x 3 3/4 = 5
Help me with this math problem
Answer:
I believe that the answer is B
Step-by-step explanation:
Pls help will mark brainliest
Answer:
uhh, look it up
Step-by-step explanation:
pls read and help me
given conversion factor 12in/1ft what is the above line segments unit of measure in inches round your answer to the nearest tenth
Answer:The correct answer is 75.6
Step-by-step explanation:
because i took the quiz myself
50 pointsssss PLEASEEEE HELPPPPP!!!!!
Mr. Alvarez and Ms. Bento each recorded grades of their students in their first period classes. The table below shows the number of students who received each letter grade during each of the first three grading periods. Both teachers have 40 students in each class.
1. Construct Matrix A to represent Mr. Alvarez’s grades and Matrix B to represent Ms. Bento’s grades.
Answer:
table below shows the number of students who received each letter grade during each of the first three grading periods. Both teachers have 40 students in each class.
1. Construct Matrix A to represent Mr. Alvarez’s grades and Matrix B to represent Ms. Bento’s grades.
Step-by-step explanation:
hshhdbdkek
Which is the answer?
A.5.7
B.8.9
C.3.5
D.3.2
help me please:(
Answer:
The answer is c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
hope this helps with the work
what would be the leading coefficient of f(x)=6-x+7x^2
Answer:
7
Step-by-step explanation:
The leading coefficient of the given expression is 7.
What is coefficient?A coefficient is a factor that is multiplied by a variable or a term in an expression. It can be a number or a symbol representing a constant value. For example, in 7x - 3y + 5, the coefficients are 7, -3, and 5.
Given that a quadratic function f(x) = 6-x+7x², we need to find the leading coefficient,
So, rearranging the terms in the function in standard form,
f(x) = 7x²+x-6
The leading coefficient is the coefficient of the term with the highest power or degree in a polynomial,
Here, the highest power coefficient is 7.
Hence, the Leading coefficient of the given expression is 7.
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Jack is planning to attend a public university after he graduates from high school in 2 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $27,540. His family has promised to contribute $13,950 each year he is in school. What is the minimum amount of money Jack must contribute to his savings per month for the next 2 years to have enough money to pay for his first year of tuition?
a
$537.95
b
$566.25
c
$598.32
d
$512.95
A sample proportion of 0.78 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.78. The minimum sample proportion from the simulation is 0.62, and the maximum sample proportion from the simulation is 0.80. The margin of error of the population proportion is found using half the range. What is the interval estimate of the true population proportion?
1. (0.74, 0.82)
2. (0.64, 0.92)
3. (0.72, 0.84)
4. (0.69, 0.87)
Answer:
4. - (0.69,0.87)
A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?
Answer:
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Total number of cups used
The number of dot on each dataset represent the number of student
So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item
So, we have:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]
[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]
Solve
[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]
[tex]Total = \frac{89}{8}[/tex]
[tex]Total = 11\frac{1}{8}\ cups[/tex]