The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2
Part B:
The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts
What is 80 percent of 160?
Step-by-step explanation:
[tex] = \frac{80}{100} \times 160 \\ [/tex]
[tex] = \frac{12800}{100} [/tex]
= 128
What is the value of x in the parallelogram below
Answer:
x=7
Step-by-step explanation:
We know that in a parallelogram diagonals bisect each other
Therefore
x=7
Can someone explain me the answer and how to solve it
Answer:
The radius is 8.
Step-by-step explanation:
Because OA is a radius and AB is a tangent, Angle A is a right angle. So you can use Pythagorean theorem (shortcut Pythagorean triple)
OA^2 + 15^2 = 17^2
OA^2 + 225 = 289
OA^2 = 64
OA = 8
OA is a radius, the radius = 8
PLease HELP ASAP!!! READ THE QUESTION CAREFULLY
Answer:
1/3
Step-by-step explanation:
The Wilson family purchased a home for $140,000. The housing market has increased in value by 6.2% every year. Determine an equation that would represent what the house would be valued at in the next six years.
Which of the following is an irrational number?
AOS because it cannot be rewritten as an integer
B. 0.98 35 , because
iS a repeating decimal
0. C.T 0, because it has no value
D.O /84, because it cannot be expressed as either a terminating or repeating decimal
Answer:
D
Step-by-step explanation:
This is an irrational number as it does not repeat and has an infinite number of combinations (as like pi)
An ordered pair that makes a linear equation true is called a?
Answer:
the solution of the equation.
Step-by-step explanation:
Please help!!!!!!!!!
Answer:
option d -1 is the answer
Answer:
I think C (19) might be wrong though
If the area of a circle is 4(pi), what is
its radius?
Answer:
radius=2cm
because area =πr²
π2²=4π
hope this helps
please give me brainliest
Axel used the vertical line test on this graph, and decided it is a function because the vertical line only passes through one point, (3, 0).
On a coordinate plane, a circle is centered around (0, 0). A vertical line touches the edge of the circle at (3, 0).
Is Axel’s statement correct?
Answer: Axel's statement would be incorrect. (If this is for Edgenulty, the answer is C)
Step-by-step explanation: No, because the relation does not pass the vertical line test for every possible input.
Two parallel wires are separated by 0. 06 m, each carrying 3 a of current in the same direction. What is the magnitude of the force per unit length between the wires?
The magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].
What is the magnitude of the force?In a wire carrying a current I 2, the force that each wire feels due to the presence of the other depends on the distance between them and the magnitude of the currents.
Force per unit length = magnetic permeability * (current 1) * (current 2) / (2 π distance between the wires).
The below expression for the force per unit length.
Moreover, before using the below formula we have to change the unit centimeter into a meter. So, we just divide the centimeter by 100.
[tex]\rm \dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06[/tex]
Substitute all the values in the formula
[tex]\rm\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06\\\\ \dfrac{Force}{length}=\dfrac{4\pi \times 10^{-7} \times 3 \times3}{2\pi \times 0.06}\\\\ \dfrac{Force}{length}= 3 \times 10^{-5} N/m[/tex]
Hence, the magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].
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Giving Brainlist please help! Calculate the area of the figure.
Answer:
A. 120 cm²
Step-by-step explanation:
Area of figure :
1/2 x base x height1/2 x 24 x 1012 x 10120 cm²Find the value of the trigonometric function 2sin 30 degree/cos 30 degree. Round your answer to four decimal places. 2 sin 30 degree/cos 30 degree=
Answer:
Step-by-step explanation:
The value of the given trigonometric function is 1.1547.
Trigonometric RatiosThe main trigonometric ratios are: sinβ, cosβ and tg β. From these ratios, you can calculate other trigonometric ratios such as sec β, cossec β and cotg β.
These ratios help you find the angles and the sides of a rectangle triangle.
The question asks [tex]\frac{2 *sin(30)}{cos (30}[/tex], for the angle 30° you have sin=1/2 and cos= [tex]\frac{\sqrt{3} }{2}[/tex].
Thus,
[tex]\frac{2 *sin(30)}{cos (30}=\frac{2 *\frac{1}{2} }{\frac{\sqrt{3} }{2} }=\frac{1}{\frac{\sqrt{3} }{2} }= \frac{2}{\sqrt{3} } =\frac{2\sqrt{3} }{3}=1.1547[/tex]
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Find the value of m < 7 .
Answer:
B
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FES is an exterior angle of the triangle , then
57° + ∠ F = 142° ( subtract 57° from both sides )
∠ F = 85°
Answer: Option B: 85°
Step-by-step explanation:
Finding E: 142 + 180 + E = 360
360 - 142 - 180 = 32
E = 32
Finding F: 57 + 32 + F = 180
180 - 57 - 32 = 85
F = 85
1/4×___=5
fill in the blank.
Answer:
20
Step-by-step explanation:
5x4=20 5 is one quarter of 20
Answer:
[tex] \frac{1}{4} \times 20 = 5 \\ [/tex]
What type of event is composed of two or more separate events?
Answer:
A compound event
Step-by-step explanation:
compound event is more complex than a simple event, as it involves the probability of more than one outcome. Another way to view compound events is as a combination of two or more simple events
How many hours and minutes is 125 minutes
Answer:
2 hours and 5 minutes.
Step-by-step explanation:
2 hours is 60mins+60mins which is equal to 120mins and then the extra 5mins
Hilary studied for a total of 2 hours and 5 minutes this week.
If Hilary studied for 25 minutes each day for five days this week, we can calculate the total study time by multiplying the number of minutes studied per day (25) by the number of days (5):
25 minutes/day × 5 days = 125 minutes
To convert this to hours and minutes, we need to divide the total minutes by 60 (since there are 60 minutes in an hour) to get the number of hours and find the remainder as minutes.
125 minutes ÷ 60 = 2 hours and 5 minutes
Therefore, Hilary studied for a total of 2 hours and 5 minutes this week.
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Doctors can use radioactive chemicals to treat some forms of cancer. The half life of a certain chemical is 5 days. A patient receives a treatment of 28 millicuries of the chemical. (A millicurie is a unit of radioactivity.) How much of the chemical remains in the patient 10 days later?
Answer:
7 millicuries
Step-by-step explanation:
A period of 10 days is 2 times the half-life of 5 days.
In the first 5 days, the amount of the chemical decayed by half from 28 millicuries to 14 millicuries. In the next 5 days, it decayed by half again, from 14 millicuries to 7 millicuries.
10 days later, 7 millicuries of the chemical remains.
(9-5+X)+ (39+211)
whats the Solution?
Answer:
254 + xStep-by-step explanation:
(9-5+X)+ (39+211)
whats the Solution?
(9 - 5 + x) + (39 + 211) =
4 + x + 39 + 211 =
254 + x
Answer:
254 + x
Step-by-step explanation:
(9 - 5 + x) + (39 + 211) =
4 + x + 39 + 211 =
254 + x
Hope this helps
:)
Can someone try to help?
Answer:
Step-by-step explanation:
Kendrick was given the equations 4x+2y=14 and 3x-y=23. He decided to solve the system of equations by substitution. Each step is shown.
Step 1: 4x+2y=14
Step 2: 2y=14-4x
Step 3: y=7-2x
Step 4: 3x-7-2x=23
Step 5: x-7=23
Step 6: x=30
In which step did Kendrick make an error? Explain.
The Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Kendrick was given the equations:
Step 1: 4x+2y=14 ...(1)
3x-y=23 ...(2)
From the equation first:
Step 2: 2y = 14 - 4x
Step 3: y = 7 - 2x put this value in the second equation
Step 4: 3x - (7 - 2x) = 23
Step 5: 3x -7 +2x = 23
Kendrick did a mistake in step 4 he did not multiply the term (7 - 2x) with -1
Thus, the Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23
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What is the equation of the line that passes through the points (-8,-1) and (-4,-4)?
Answer:
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
Step-by-step explanation:
Which decimal is equivalent to -3 1/8? *20 points*
a. -3.18
b. -3. 125
c. -3. 1205
d. -3.12
Answer: -3.125
Step-by-step explanation: -1 divided by 8 = .125
45 POINTS & BRAINLIST -- PLEASE HELP
Convert the following functions.
A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.
B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit**
Answer:
45 POINTS & BRAINLIST -- PLEASE HELP
Convert the following functions.
A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.
B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit
Step-by-step explanation:
45 POINTS & BRAINLIST -- PLEASE HELP
Convert the following functions.
A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.
B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit
2. Two painting companies were hired to paint two different buildings. The amount of area
left to paint on both buildings is related to the amount of time that the painters spend
on painting each of them. This relationship is shown in the two graphs below:
a. what are the linear functions modelling the two relationships in the graphs above?
b. which painting company is painting their building at a faster rate? how much faster?
c. which painting company had less area to paint when they began painting their building?
d. how many hours will it take each painting company to completely finish painting their building?
pls help its due today and its 100 points
#a
#1
(0,2100)(7,2000)Slope:-
m=2000-2100/7=-100/7Equation in point slope form
y-2100=-100/7(x)y=-100/7x+2100Slope=-100/7
#2
(0,1800)(8,1700)Slope
m=1700-1800/8=-100/8Y intercept=1800
Equation
y=-100/8+1800Slope=-100/8
#b
First company is painting faster
-100/7 ÷-100/88/7 times faster#c
Comapny B
as their y intercept is 1800 which is less than 2100#d
for #1
-100/7x+2100=0100/7x=2100x=21(7)=147hours#2
100/8x=1800x=18(8)x=144hours[tex] \huge\fbox\green{QUESTION} [/tex]
[tex] \mathsf \blue{calculate \: the \: gradient}[/tex]
[tex] \huge \fbox \orange{♧Answer♧}[/tex]
[tex] \mathcal\blue{METHOD\:1} [/tex]
[tex] \mathsf \purple{ - ( \frac{y}{x} )}[/tex]
[tex] \mathsf \purple{ - ( \frac{ - 4}{5})} [/tex]
[tex] \mathsf \purple{( \frac{4}{5} )}[/tex]
[tex] \mathcal\blue{METHOD\:2} [/tex]
[tex] \mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)} [/tex]
[tex] \mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)} [/tex]
[tex] \mathsf\purple{( \frac{4}{5})} [/tex]
[tex] \mathcal\blue{METHOD\:3} [/tex]
[tex] \mathsf\purple{m\:=\:rise\:÷\:run} [/tex]
[tex] \mathsf\purple{m\:=\:( \frac{4}{5})} [/tex]
[tex] \mathbb\pink{NOTE:} [/tex]
The difference between the y-coordinates of the two points is called the rise. The difference between the x-coordinates of the same two points is called the run. The slope can be calculated by dividing the rise by run.Directions: Identify the binomial factors of the following trinomials.
1. x2 + 14x + 13
2. x2 + 7x + 12
3. x2 + 8x + 15
4. x2 + 8x + 12
5. x2 + 7x + 10
6. x2 + 5x + 6
7. x2 + 5x + 4
8. x2 + 10x + 21
9. x2 + 10x + 16
10. x2 + 6x + 9
11. x2 + 9x + 20
12. x2 + 9x + 14
13. x2 + 13x + 42
14. x2 + 9x + 18
15. x2 + 17x + 70
(Remember, the factors of the last term that equal the addends of the second term.)
Answer:
1. x= -1 & x= -13
2. x= -3 & x= -4
3. x= -3 & x= -5
4. x= -6 & x= -2
5. x= -5 & x= -2
8. x= -7 & x= -3
9. x= -8 & x= -2
10. x= -3 & x= -3
11. x= -5 & x= -4
12. x= -2 & x= -2
13. x= -6 & x= -7
14. x= -6 & x= -3
15. x= -10 & x= -7
I need help with this
Answer:
(a) = 37π/180 radians
(b) = 37°
Step-by-step explanation:
Converting km/h ⇒ m/s :
⇒ 54 km/h x 5/18
⇒ 3 x 5
⇒ 15 m/s
===============================================================
Formula to calculate the angle :
⇒ tanθ = v/r
⇒ tanθ = (15 m/s)/(20 m)
⇒ θ = tan⁻¹ (0.75)
⇒ θ = 37°
=============================================================
Converting to radians :
⇒ Radian measure = Angle measure × π/180°
⇒ Radian measure = 37° × π/180°
⇒ Radian measure = 37π/180 radians
=============================================================
Solutions :
(a) = 37π/180 radians
(b) = 37°
Aft
10 ft
3 ft
2 ft
6 ft
Surface Area =
Surfa
I need the surface area
Answer:
Step-by-step explanation:
Front and back
Givens
base = 6 feet
height = 2
Formula
Area = 1/2 B * h
Area = 1/2 * 6 * 2
Area = (2) 1/2 * 12
Area = 12 square feet for both front and back
Base
The base is a rectangle. A rectangle has the formula of Area = L*w
Givens
L = 10 feet
W = 6 feet
Area = 10 * 6 = 60
Left roof
The left roof is also a rectangle. Area = L*w
Givens
L = 10 feet
W = 3 feet
Area = 3 * 10 = 30 feet^2
Right Roof
The right roof is a rectangle. Area = L*w
Givens
L = 10 feet
w = 4 feet
Area = 4 * 10 = 40 ft^2
Total area
Total Area = right roof + left roof + Base + front and back
Total Area = 40 + 30 + 60 + 12
Total Area = 142 feet ^2
HELP PLEASEEEEeeeeee
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (√2)π/(√5) can be written as,
[tex]\dfrac{\sqrt2 \pi}{\sqrt5}\\\\= \sqrt{\dfrac25}\pi\\\\=\sqrt{0.4} \times \pi\\\\[/tex]
= 0.6324 × π
= 1.9869 ≈ 2
Hence, The value of the expression (√2)π/(√5) is 2.
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Answer:
It would be D). 2.0 because we know the square root of 2 over the square root of 5 is the square root of 10 over 5. Now, we can plug in pi, giving us the square root of 10 times pi over 5. Giving us 1.98 which can be rounded up to 2.0
