Answer:
38 degrees
Step-by-step explanation:
The angle can be found using the Law of Cosines:
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (3² +7² -5²)/(2·3·7) = 33/42
A = arccos(33/42) ≈ 38.213°
The measure of angle A is about 38°.
Raise -2 to the double of b and divide the result by the quadruple of a. A=-4 and B =+3.
Answer: - 4
Step-by-step explanation:
Given that A = - 4, B = 3
According to the instruction :
Raise -2 to the double of b and divide the result by the quadruple of a. A=-4 and B =+3
Raise - 2 to the double of b ;
Result = (-2)^(2*3) = (-2)^6 = 64
Divide result by quadruple of a
a = - 4 ;
Quadruple of 'a' means 4 times as many as 'a' = '4 * a' quadruple of a = (-4) * 4 = - 16
= (-2)^6 / -16
64 / - 16
64 / - 16 = - 4
Find the vertex of the function given below y=x^2-2x+1
Hey there! :)
Answer:
(1, 0).
Step-by-step explanation:
Convert from standard form to vertex form by completing the square:
y = x² - 2x + 1
Move 1 to the other side:
-1 = x² - 2x
Complete the square. Remember to add to both sides:
-1 + (1) = x² -2x + 1
Simplify:
0 = (x - 1)²
The function in vertex form is:
y = (x - 1)²
Therefore, the vertex is:
(1, 0).
Click Submit.
Which unit of measure would be appropriate for the area of a picture that is 20
centimeters tall and 15 centimeters wide?
O A. Meters
OB. Square centimeters
O C. Cubic centimeters
O D. Centimeters
ons
Answer:
Square centimeters
Step-by-step explanation:
As the area of the picture is 300 cm², Square centimeters are the appropriate unit for measuring the area of the picture.
please mark me brainliest!
8.99 to the nearest decimal
Answer:
9
Step-by-step explanation:
One Decimal Place Rule #3: If the last digit in 8.99 is 5 or more and the second to the last digit in 8.99 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.
Hope this helped!
Please answer this question now in two minutes
Answer:
y = -4x
Step-by-step explanation:
Since it gives you that m = -4 and that the y-intercept is at (0, 0), we simply plug it into y = mx + b
y = -4x + 0
y = -4x
can someone help me answer this
Answer:
x = 80°
Step-by-step explanation:
x = 180 - ( 129 + 71 ) / 2
Thanks!
Cone W has a radius of 8 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W. Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why?
This question is incomplete because it lacks the appropriate attachment containing the argument of Paul and Manuel
Kindly find attached the appropriate attachment necessary to solve this question.
The attachment was sourced online
Answer:
a) Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X
Step-by-step explanation:
From the above question, we are given two shapes: Cone W and Square Pyramid
Cone W: Radius = 8cm, Height = 5cm
Volume of a Cone = 1/3 πr²h
Where π = 3.14
Volume of Cone X = 1/3 × 3.14 × 8² × 5
= 334.93cm³
For Square pyramid X
Volume = 1/3 × Base Area × Height
Base Area of Cone W = Base Area of square pyramid X = πr²
Where π = 3.14
Base area = 3.14 × 8² = 200.96cm²
Height of Square pyramid X = Height of Cone W = 5cm
Volume of Square pyramid = 1/3 ×200.96cm² × 5cm
= 334.93cm³
Therefore, from my above calculation and compared with the arguments of Paul and Manuel, Option a) "Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X" is the correct option.
The reason why is because the correct formula for the volume of a square pyramid = 1/3 × Base area × Height
This was the formula Paul used.
Manuel on the other hand used the formula: Base Area × Height to find the volume of cone W. This formula is wrong.
Option a, is the correct answer.
Answer: A. Paul's argument is correct; Manuel used the incorrect formula to find the volume of square pyramid X.
Proof of validity shown below along with the attached chart not included in initial question!
What is the difference between the measure of an arc and arc length? Explain.
Answer:
The measure of an arc is a degree or radian measure of how wide the arc is. Arc length is the length of the segment inside the arc on the circumference of the circle.
Step-by-step explanation:
I really need help on this one! Giving brainliest, Need two answers!
Step-by-step explanation:
first question:From the graph we notice that the minimum of the function 1 is -1
From the table we notice that the minimum of the second function is 2
so the function #2 has a greater minimum
second question :The function is x²+3x-4
Derivate it and solve the equation y'=0
y'= 2x+3
y'=0
2x+3=0
2x= -3
x = -3/2
Derivate it again:
y"= 2> 0⇒ so the function reaches the minimum at -3/2
the image of -3/2 is :
y= (-3/2)²+3*(-3/2)-4 = -6.25
so the answer is
#3<#1<#2
What is 3a + 7b x 14c - 4b ?
━━━━━━━☆☆━━━━━━━
▹ Answer
2(7c - 2b)
▹ Step-by-Step Explanation
3a + 7b * 14c - 4b
14c - 4b → 2(7c - 2b)
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
2(7c - 2b)
Step-by-step explanation:
3a + 7b x 14c - 4b
3a + 3b x 14c
14c - 4b = 2(7c - 2b)
If f is a function such that [tex]\lim_{x \to a} \frac{f(x)-f(a)}{x-a} =5[/tex], then which of the following statements must be true? A) f(a) = 5 B) The slope of the tangent line to the function at x = a is 5. C) The slope of the secant line through the function at x = a is 5. D) The linear approximation for f(x) at x = a is y = 5
Answer:
Option D). is correct choice.
Step-by-step explanation:
The linear approximation for f(x) at x = a is y = 5
Best Regards!
Please help ASAP please give answers to both questions:)
Answer:
the first question the answer is: Answer. A + 2A + 3A = 180 degrees ( total for all 3 angles in any triangle). This one is a right triangle since one of the angles is 90 degrees. did that make any sense? lol
the 2nd question the answer is i believe D. but i am not sure
hope this helped :)
Answer:
1. A
2. B
Step-by-step explanation:
Check the attachment
Hope it helps :)
Please answer this question now
Answer:
10 cm
Step-by-step explanation:
Since WX is tangent, it is a right angle
VWX is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2
6^2 + 8^2 = VX ^2
36+64 = VX ^2
100 = VX ^2
Take the square root of each side
sqrt(100) = sqrt( VX ^2)
10 = VX
Answer:
10 cm
Step-by-step explanation:
Since WX is tangent to the circle V, by definition, WX ⊥ WV.
So, we've established that ΔWXV is a right triangle. This means that we can apply the Pythagorean Theorem, which states that for a triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, we have a = WV = 6 and b = WX = 8, so:
a² + b² = c²
6² + 8² = 36 + 64 = 100
c² = 100
c = √100 = 10
Therefore, VX = 10 cm.
~ an aesthetics lover
Let h(x) = 3x – 7. If h(x) = 0, find x.
[tex]h(x)=3x-7[/tex]
And we are given that [tex]h(x)=0[/tex] and want to find the value of x. Set h(x) to 0 and we get the equation:
[tex]3x-7=0[/tex]
Add both sides by 7
[tex]3x=7[/tex]
Divide both sides by 3
[tex]x=\dfrac{7}{3}[/tex]
This is the answer (as an improper fraction). Let me know if you need any clarifications, thanks!
[tex]\text{Plug in 0 to h(x) and solve:}\\\\0=3x-7\\\\\text{Add 7 to both sides}\\\\7=3x\\\\\text{Divide both sides by 3}\\\\\frac{7}{3}=x\\\\\boxed{\frac{7}{3}=x}[/tex]
The length of the one of the legs of a right triangle is 8m and the hypotenuse is 12m
Answer:
other leg = 8.944271910
Step-by-step explanation:
If you are trying to figure out the other leg you have to use pythagorean therom:
c^2 - a^2 = b^2
(12)^2 - (8)^2 = b^2
144 - 64 =b^2
80 = b^2
√80 = b
8.944271910 = b
24 athletes threw the shot put at a track and field meet. If this was 15/100 of all the athletes in the meet, how many athletes competed in the meet total?
Answer:
160 athletes
Step-by-step explanation:
Let the total number of athletes in the meet be x
Given that 24 athletes who threw the shot put at a track and field meet are 15/100 of all the athletes in the meet .
If we write this in mathematical algebraic expression
15/100 of all the athletes in the meet = 24
15/100 * x = 24
=> x = 24*100/15 = 24*100/3*5 = 160
Thus, 160 athletes competed in the meet.
If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?
Answer:
"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)
"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)
Step-by-step explanation:
well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it
hope this helped LOL
What is an equation of the line that passes through the point
(6,−2) and is perpendicular to the line
6x+y=2?
Answer:
y = 1/6x - 3
Step-by-step explanation:
Step 1: Find the slope
Take the negative reciprocal of the other slope
m = 1/6
y = 1/6x + b
Step 2: Find b
-2 = 1/6(6) + b
-2 = 1 + b
b = -3
Step 3: Rewrite perpendicular linear equation
y = 1/6x - 3
Which number produces a rational number when multiplied by 1/3
Answer:
Here are some examples:
[tex] \sqrt{9}, 18/3, 15, -6, 1.2, 0 [/tex]
Please help! Prove: Ray E B bisects ∠AEC.
Answer: Angle Bisector Theorem states that if a ray bisect an angle of a triangle,then it divides the opposite side into segments that are proportional to the other two side.
if this helped pls mark brainliest.
Answer: Angle Bisector Theorem states that if a ray bisect an angle of a triangle,then it divides the opposite side into segments that are proportional to the other two side.
The price of a holiday was increased by 11% to £870. What was the price before the increase? Give your answer to the nearest penny.
Answer:
£783.78Step-by-step explanation:
Let the price before be x
Then the price after is:
x + 11% of x = £870x*1.11 = £870x = £870/1.11x = £783.78 rounded to the nearest pennyA cylinder with a diameter of 8 inches and height of 12 inches.Ross is wrapping a gift. The package is shaped like the cylinder shown. What is the least amount of paper he needs to cover the entire cylinder? Use 3.14 for Pi.401.92 in.2602.88 in.31004.8 in.22411.52 in.3
Answer:
The answer is A.
Step-by-step explanation:
We need to find the least amount of paper needed to wrap the entire cylinder. Therefore, we simply need to find the surface area of the cylinder.
Recall the formula for the surface area of a cylinder:
[tex]SA=2\pi r^2+2\pi rh[/tex]
We know the diameter is eight inches, so the radius is four inches. We also know the height is 12. Using 3.14 for π, substitute:
[tex]SA=2(3.14)(4)^2+2(3.14)(4)(12)[/tex]
[tex]SA\approx 401.92\text{ in}^2[/tex]
Our answer is A.
Answer:
It's A
Step-by-step explanation:
I GOT IT RIGHT ON EDGE
?/? of 24 = 16 (answer in fraction)
Answer:
[tex]\boxed{\sf \ \ \ \dfrac{2}{3} \ \ \ }[/tex]
Step-by-step explanation:
hello
24 = 8*3
16 = 8*2
so
[tex]\dfrac{2}{3}*24=\dfrac{2*8*3}{3}=8*2=16[/tex]
so the answer is 2/3
hope this helps
the slope of the line that passes through the points (7,1) and (x,4). What is the value of w?
Answer:
bbb
Step-by-step explanation:
bbb idk sorry x
Hello, a Maths question if anyone knows what to do Solve: 6(x+4)=30
Answer:
x = 1
Step-by-step explanation:
6(x+4)=30 (divide both sides by 6)
(x+4) = 30/6
x+4 = 5 (subtract 4 from both sides)
x = 5 - 4
x = 1
Step-by-step explanation: 6(x+4)=30
(Distributive property): 6x+24=30
( Transposition method): 6x=30-24( + becomes -) 6x=6
(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer: 83.6
Step-by-step explanation:
The data shown below is: 81,83,84,85,85. The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6
Hope it helps <3
P.S. brainliest brains?
The data shown below is: 81,83,84,85,85. The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6
Work out the mean for the data set below: 1003, 1005
Answer:
1004 is the mean
Step-by-step explanation:
add the 2 numbers and divide by 2
Answer:
1004
Step-by-step explanation:
mean is equals to total ÷ no.
1003+1005= 2008÷2=1004
The Slope of a Line
(8,2) and (5,11)
Calculate the slope of the line
that contains the given points.
Answer:
m = -3
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Simply plug in our coordinates to find slope:
m = (11 - 2)/(5 - 8)
m = 9/-3
m = -3
→ Help! ← (please? qwp)
Answer:
1,3,6prop. 245notprop
I'm gonna pack my things and leave you behind
This feeling's old and I know that I've made up my mind
I hope you feel what I felt when you shattered my soul
'Cause you were cool and I'm a fool
So please let me go
But I love you so (please let me go)
I love you so (please let me go)
I love you so (please let me go)
I love you so
the bed on jeffs pick up truck is 8 feet lomg. On a scale model of his truck the bed is 10 inches long. what is the scale of the model?
i think it would be 9.6 inches because 8 feet is 96 total inches so you could divide that by 10 getting every inch on the model to represent 9.6 inches on jeffs truck totaling at 96 inches or 8 feet