Answer:
Plywood1: x = width ; length = 2x
1) x (2x) = 4.5
2) 2x² - 4.5 = 0
a = 2 ; b = 0 ; c = -4.5
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=
2a
−b±
b
2
−4ac
=
2(2)
0±
0−4(2)(−4.5)
=
4
±6
=
2
3
Plywood2: x = width ; length = 2x-1.4
1) x (2x-1.4) = 16
2) 2x² -1.4x -16 = 0
a = 2 ; b = -1.4 ; c = -16
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=
2a
−b±
b
2
−4ac
=
<
1.4±
1.96−4(2)(−16)
br/>2(2)=
4
1.4±11.4
=
3.2
Plywood3: x = width ; length = 5-x
1) x (5-x) = 6
2) -x² +5x -6 = 0
a = -1 ; b = 5 ; c = -6
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=
2a
−b±
b
2
−4ac
=
2(−1)
−5±
25−4(−1)(−6)
=
−2
−5±1
\boxed{x_1=3}
x
1
=3
\boxed{x_2=2}
x
2
=2
BRAIN LESS ANSWER
If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.
triangle EFG with side e across from angle E, side f across from angle F, and side g across from angle g
4 feet
5 feet
6 feet
7 feet
Answer:
6 feet
Step-by-step explanation:
C. 6 feet
Length of Side g is 6 feet
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given,
∠F = 49°
Length of side f = 7 feet
∠G = 40°
length of side g = ?
According Sine rule,
[tex]\frac{\sin E}{e}=\frac{\sin F}{f}=\frac{\sin G}{g}[/tex]
[tex]\frac{\sin 49}{7}=\frac{\sin 40}{g}[/tex]
[tex]{g}=7(\frac{\sin 40}{sin 49})[/tex]
g = 5.96 ≈ 6
Hence, length of side g is 6 feet.
Learn more about Trigonometric functions
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HELP! BRAINLIEST!
Which of the following represents vector w = 11i − 60j in trigonometric form?
w = 61❬sin 280.389°, cos 280.389°❭
w = 61❬cos 280.389°, sin 280.389°❭
w = 61❬cos 79.611°, sin 79.611°❭
w = 61❬sin 79.611°, cos 79.611°❭
Answer:
w = 61❬cos 280.389°, sin 280.389°❭
Step-by-step explanation:
The "trigonometric form" of a vector is ...
(magnitude)❬cos(angle), sin(angle)❭
This is sometimes abbreviated ...
magnitude cis(angle)
__
This form immediately eliminates choices A and D, as those have the trig functions reversed. The signs on the unit vectors i and j tell you the vector has a 4th-quadrant angle, so will be between 270° and 360°. Only answer choice B makes any sense.
w = 61❬cos 280.389°, sin 280.389°❭
_____
Additional comment
The angle is computed from ...
θ = arctan(y/x) = arctan(-60/11) = -79.611°
Expressed as a positive angle in the range [0, 360°), that will be ...
360° +(-79.611°) = 280.389°
__
The abbreviation "cis" is mentioned as an aid to remembering the (x, y) coordinates are the cosine and sine of the angle, in that order.
can some one help me this please?
Answer:
x=-2
Step-by-step explanation:
If a(x) = 2x - 4 and b(x) = x 2, which of the following expressions produces a quadratic function? (ab)(x) (startfraction a over b endfraction) (x) (a – b)(x) (a b)(x)
The expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).
A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two. The standard form of the quadratic function is,
[tex]f(x)=ax^2+bx+c[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
The two function for the variable x is given as,
[tex]a(x) = 2x - 4[/tex]
[tex]b(x) = x +2[/tex]
These are the binary function, and the product of two binary function provide a quadratic function. The product or the multiplication of these two function will provide a quadratic function. Thus,
[tex]a(x) b(x)= (2x - 4)(x+2)\\(ab)(x)=2x^2+4x-4x-8\\(ab)(x)=2x^2-8[/tex]
Thus, the expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).
Learn more about the quadratic function here;
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Which expression is equivalent to -7 + 5a ?
-2a
-12a
5a - 7
-5a + 7
Hey there!
-7 + 5a
We DO NOT have any LIKE TERMS so we can NOT do much to this equation
So, the one that seems about right would be: -5a + 7
Answer: -5a + 7 (Option D)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Pls Help me :(
2. 75, 84, 90, 77, 84, 78, 91, 94, 83
Mean______ Median_______ Mode______
Answer:
Mean=83.9 Median=83.5Mode=83, 84
Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet? 1884 feet 4415.63 feet 58.88 feet 117.75 feet
The distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet
How to calculate the circumference of a circle?The formula for calculating the circumference of a circle is expressed as:
C = 2πr
r is the radius of the circle
Given the following parameters
r = 75ft
Substitute the parameters to have:
C = 2(3.14)(75)
C = 471feet
Hence the distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet
Learn more on circumference here: https://brainly.com/question/26215003
Pls help need this to pass
Answer:
408in[tex]^{2}[/tex]
Step-by-step explanation:
1.) First, find the area of the base (**If you don't know how to do this, just find the length and width, then multiply them together). Since there aren't any other measurements, I'm guessing all sides are 12 inches (12x12=144).
2.) Next, find the area of the triangle. Use 12 and 11 as your measurements in this case (12x11=132).
3.) Now, divide your answer from step 2 (132) by 2 (132/2=66). This is because usually, triangles are HALF of the area of a square. If you skip this step, you will have made a cube instead of a pyramid.
4.) Multiply the answer from step 3 (66) by 4 (66x4=264), since there's 4 triangles on the pyramid.
5.) Add the answer from steps 4 (264) and 1 (144). This should get you the TOTAL surface area (408in[tex]^{2}[/tex]).
if f(x)= -2x+3 (4-5), what is f(7).
Answer:
f(7) is -17
Step-by-step explanation:
Plug in seven for x:
-2 (7) + 3 (4-5)
-14 + 3 (-1)
-14 + -3
-17
What is the length of the Radius if AB is tangent to OB
Answer:
r = 5 units
Step-by-step explanation:
One way is to use the Pythag Theroem
12 ^2 + r^2 = (8+r)^2
144 + r^2 = 64 + 16r + r^2
80 = 16 r r = 5
stacy runs 16 miles is 4.5 hours. what is stacys average speed?
Answer: Stacy's average speed is 3.55555555556 or approximate 3.56 miles per hour. Speed ≈ 3.56
Step-by-step explanation: You simply solve by taking the number of miles dividing it by the number of hours and you get 16 ÷ 4.5 which gets your answer to be approximately 3.56 miles per hour (mph). I hope this helped you! Let me know if you need me to explain more!
16 miles in 4.5 hours.
to find:the average speed.
solution:[tex]speed = \frac{distance}{time} [/tex]
[tex]s = \frac{d}{t} [/tex]
[tex]s = \frac{16}{4.5} [/tex]
[tex] = 3.5555555556[/tex]
[tex] = 3.56m |hr[/tex]
therefore, the average speed of Stacy is 3.56 m/hr.
Which situation is best modeled by the inequality h > 35
Answer: The answer is You must be at least 35 years old to be president.
Step-by-step explanation: i just did this
On an average day 1/40 of the students at Brown Middle School are absent during an outbreak of flu twice as many students are absent what fraction of students is this
if you invest 1500 today in a bank that gives you 5% annual interest eats, which of these items can you buy in two years
Thursday: For the equation y=3x+5 what is the value of x when y=11? * *
Answer:
[tex]\huge\boxed{\bf\: 2 = x}[/tex]
Step-by-step explanation:
Given,
y = 11We need to find x.
Equation: y = 3x + 5.
On solving,
[tex]y = 3x + 5\\(11) = 3x + 5\\11 - 5 = 3x\\6 = 3x\\6 \div 3 = x\\\boxed{\bf\:2=x}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
sam has $37 to spend at a festival the price of admission is $10 and tickets to each attraction cost $0.75. how many tickets can he get
Answer:
37-10=27 then 27 / 0.75 = 36
Step-by-step explanation:
36 is your answer
Which expression is equivalent to (15)(15-?)?
Answer:
C
Step-by-step explanation:
15 ^3 * 15 ^ -7 = 15^3 / 15^7 = 1 / (15^7 -3) = 1/(15 ^4)
Solve the equation 1.37w=0
Hey there!
1.37w = 0
DIVIDE 1.37 to BOTH SIDES
1.37w/1.37 = 0/1.37
CANCEL out: 1.37w/1.37 because it give you 1
KEEP: 0/1.37 because it help solve for the w-value
NEW EQUATION: w = 0/1.37
SIMPLIFY IT!
w = 0
Therefore, your answer is: w = 0
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
-ve Leo got 28 out of 35 questions correct on his last test. What is the decimal equivalent to the fraction of questions that Leo got correct on his last test.
Answer:
0.8
Step-by-step explanation:
28/35=number of questions Leo got right
28/35=0.8=number of questions Leo got right
Which is a larger volume, a candle with a height of 6. 3 inches and a radius of 3. 1 inches, or a candle with both a height and a radius of 3. 9 inches?
Step-by-step explanation:
such candles are cylinders.
the volume of a cylinder is
pi×r²×height
the volume of candle 1 is
pi×3.1²×6.3 in³ = pi × 60.543 in³
the volume of candle 2 is
pi×3.9²×3.9 in³ = pi × 59.319 in³
so, candle 1 has the larger volume.
PLEASE HELP ASAAPPPPPP!!!!!!!
Which statements are true, according to the graph?
A Time is the independent variable
B Time is the dependent variable
C Distance is the independent variable
D Distance is the dependent variable
E Rate of change is Δdistance/Δtime
F Rate of change is Δtime/Δdistance
G Ted's rate of change is 10 miles per hour
H Ted's rate of change is 15 miles per hour
I Jason's rate of change is 10 miles per hour
J Jason's rate of change is 20 miles per hour
K Ted's rate of change is 10 miles per hour faster than
L Jason's Jason's rate of change equals Ted's rate at one hour
Using function concepts, it is found that the correct statements are:
A Time is the independent variable.
D Distance is the dependent variable.
E Rate of change is Δdistance/Δtime
G Ted's rate of change is 10 miles per hour.
J Jason's rate of change is 20 miles per hour.
What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
In this problem, the distance depends on the time, hence distance is the dependent variable and time is independent, which means that options A and D are correct.
The rate of change is given by the change in the output(dependent) divided by the change in the input(independent), hence option E is correct.
For Ted, the rate is of 10 mph, while for Jason, it is of 20 mph. Hence options G and J are correct.
More can be learned about functions at https://brainly.com/question/25537936
Carson must create a new password for his Nintendo Switch. The password must contain five
different letters and two different numbers. Both of the numbers must be at the end. He doesn't
want to use any letters in his name either.
1. What is the total number of passwords Carson can create?
Show your work AND write your answer in standard form (and label your answer),
2. Provide 2 different examples of passwords that he could use.
Remember to follow the password rules described above,
3. Would this type of password be considered a strong or weak password. Why?
167 443,200 password options
20:19:18.17.16. 10.
3
26-6=20
Subtract 1 each time for a
different letter option
# of digits that you
have to choose
from (0-91
A parallelogram has one angle that measures 125°. What are the measures of the other three angles in the parallelogram?
Answer:
the other 3 sides are 125,55 and 55 - hope this helped :)
Step-by-step explanation:
side 1 = 125
side 2 = 125
side 3 and 4 = ?
360 - 250 = 110
110/2 = 55
side 3 and 4 = 55
Abi takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. to the nearest dollar, how much does abi make over the first six years? $600,000 $618,000 $646,841 $716,431
Answer:
$646,841
Step-by-step explanation:
Got it right on Edge
Consider the diagram and proof by contradiction.
Given: △ABC with ∠B ≅ ∠C
Prove: AB ≅ AC
Triangle A B C is shown. Angles A B C and B C A are congruent.
Which would prove that AB ≅ AC?
converse of the isosceles triangle theorem
substitution
definition of congruency
converse of the triangle parts relationship theorem
Answer: converse of the isosceles triangle theorem
Step-by-step explanation:
Answer:
converse of the isosceles triangle theorem
Step-by-step explanation:
Took the test
A dog has a litter of 8 puppies. In how many ways can a group of 5 puppies be chosen?
The number of ways 5 puppies can be chosen from a litter of 8 puppies is 56 ways
Permutation and CombinationPermutation has to do with arrangement while combination has to do with selection.
From the queston, since we are to select 5 puppies from a litter of 8 puppes, this can be done as shown:
8C5 = 8!/(8-5)!5!
8C5 = 8!/3!5!
8C5 = 8*7*6*5!/6*5!
8C5 = 8* 7
8C5 = 56ways
Hence the number of ways 5 puppies can be chosen from a litter of 8 puppies is 56 ways
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Solve:
5 = p/4
SOMEONE PLEASE HELP IM SO CONFUSED AND THEIR IS 90 QUESTIONS AND IM ONLY ON 50 AND ITS DUE THIS FRIDAY
Answer:
p = 20
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtraction
~
Isolate the variable, p, by multiplying 4 to both sides of the equation:
[tex]5 = \frac{p}{4}\\ 5 (* 4) = \frac{p}{4} (* 4)\\ 5 * 4 = p\\p = 20[/tex]
p = 20 is your answer.
~
Three students are sitting on a school bus. Cassie is 5 feet directly behind Grayson and 5 feet
directly left of Deb. Cassie makes a paper airplane and throws it to Grayson. Grayson throws
the airplane to Deb, who throws it back to Cassie. How far has the paper airplane traveled? If
necessary, round to the nearest tenth.
feet
Answer:
I think it's 15.
Step-by-step explanation:
I would double check that though cuz it kinda seems like a trick question in a way. But i'm not sure.
Jared sold 194 Boy Scout chocolate bars. Matthew sold three times as many as Jared. Gary sold 297) few than Matthew. How many bars did Gary sell?
Answer:
285 choclate bars
Step-by-step explanation:
Jared: 194 choc. bars
Mathew: 3*jared=3*194=582
Gary: matthew-297=582-297=285 choc. bars
Eric bought 16 apples. Each apple weighed 0.33 pound.
Answer:
5.28
Step-by-step explanation:
i hope this is the right answer. have a good day !
Answer:
The weight is 5.28 pounds
Step-by-step explanation:
16*0.33=5.28