simplify 10 + 2 x (7 − 3 + 4) − 15 ÷ 3
a)7 b)17 c)21 d)27
Answer:
C).21
Step-by-step explanation:
find the value of x in a triangle. x-20, x+10, x-20
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
list all prime numbers between 27 and 35.
Answer:
29 and 31 are the only primes.
The prime numbers that are between 27 and 35 are 29 and 31.
Prime numbers
Prime numbers are those values that can only be divided by 1 and itself (so the result is an integer).
Thus, analyzing all integer values between 27 and 35 we have: 28,29,30,31,32,33,34.
Among these values, the only ones that are not divisible by numbers other than 1 and themselves are 29 and 31.
Learn more about prime numbers in: brainly.com/question/4184435
A shipping container has a volume of 48 cubic meters. What could be the dimensions (length, width, height) of the container if none of the dimensions are 1 m? Explain how you found the dimensions.
Answer:
6m * 4m * 2m
Step-by-step explanation:
Given that :
Cubic volume = 48 m³
Possible dimension if none of the dimensions is 1 m
Volumetric Dimension = (length * width * height)
The product of the three dimensions must give 48m³
Constraint : none of the dimensions has a volume of 1 m.
Hence, possible dimension :
6m * 4m * 2m = 48m²
Hence, one possible dimension is :
6m * 4m * 2m
Find the answer to this
Step-by-step explanation:
10 of $35=$3.5
20% of $35=$7
50% of $35=$17.5
25% of $35=$8.75
10% of 250g=25g
10% of 350g=35g
10% of 205 g=20.5g
10% of 305g=30.5g
is my answer a verified answer
For the data set 62, 73, 74, 75, 76, the mean is 72. What is the mean absolute deviation?
A. The mean absolute deviation is 4
B. The mean absolute deviation is 20
C. The mean absolute deviation is 5
D. The mean absolute deviation is 72
plz help i need to know asap
Answer: A. The mean absolute deviation is 4
Step-by-step explanation:
Mean absolute deviation (MAD) is found by finding the absolute value of difference between each number in set and mean, adding them together, then dividing by total numbers in set.
Differences
72-62= 10
72-73= 1
72-74= 2
72-75= -3
72-76= -4
add the absolute values...
10+1+2+3+4=20
divide by 5 because that is how many numbers in set...
20/5=4
A ship leaves the Port of Miami and travels due east toward the Bahamas for 3 miles. The ship turns due south and travels for some distance. The captain then looks back and determines that the ship is directly 10 miles from the starting point at the Port of Miami. How many miles did the ship travel south before the captain checked the distance to the Port of Miami? Round your answer to the nearest tenth. the
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-10/4 or -5/2 or -2 1/2
Step-by-step explanation:
find x and y intercepts
7-3y=9x
Answer:
the y intercept is 2 1/3 and the x intercept is 392/500
Step-by-step explanation:
i just used desmos it helps
Answer:
[tex]7 - 3y = 0.......eq1 [/tex]Step-by-step explanation:
Equate to zero
Robert invested $10,000 for 30 years at a 4% interest rate compounded quarterly. How much money will he have after 30 years?
Answer:
$33,003.87
Step-by-step explanation:
A = 10,000(1 + [tex]\frac{.04}{4}[/tex])^30·4
A = 33,003.87
A plastics company has 75 employees. Management wants to gather data about working conditions. A random sample of 30 employees was selected to receive an anonymous survey. Of those selected, 22 completed the survey. In this scenario, the population is . In this scenario, the sample is .
Answer:
22 completed surveys
Step-by-step explanation:
In the scenario described above, the sample to be used is the information given by the 22 completed surveys. This is because, the remaining 8 initial samples give no information regarding the working condition of employees. Hence, this data points are the null points and may have to be removed from the data.
Therefore, the sample in the scenario described above are the 22 completed surveys from the initial 20 samples selected.
Answer:
1. 75 employees
2. 22 employees
Step-by-step explanation:
Edge 2021:)
''Write an equation for line ` l `.''
Select all equations that can be used to solve for 0. If you have time, can you please explain how you got the answer
Answer:
B and D are correct.
Step-by-step explanation:
First, we find the length of ALL the sides using the Pythagorean Theorem.
16² + b² = 20²
256 + b² = 400
b² = 144
[tex]\sqrt{144}[/tex] = 12
Now, we know that sine is opp/hyp, cosine is adj/hyp, and tangent is opp/adj.
A is incorrect because that's supposed to be cos. B is correct because that is indeed cos. C is incorrect. D is correct. E and F are incorrect because it's supposed to be sin.
Don't know if any of that made sense. All you need to do is remember the difference between sine, cosine, and tangent.
Answer:
The answer is B and D.
Step-by-step explanation:
Length of ladder AC = 20 feet
Height of the highest point of the ladder from ground AB = 16 ft
By Pythagoras theorem,
AC² = BC² + AB²
BC² = AC² - AB²
BC = √(20)^2-(16)^2
= √400-256
= √144
= 12
Now, Sinθ = opposite side/hypotenuse = AB/AC
= 16/20
Cosθ = adjacent side/hypotenuse = BC/AC
= 12/20
Therefore, A and D are the correct options.
You're very welcome! ;)
HELP PLEASE 2 Based on past experience, a pencil factory owner believes that 3 out of every 150 pencils will be defective in some way. Using this information. What is the best prediction of the number of defective pencils in a shipment of 3.000 pencils?
At 8:00 A.M., Bob started filling a 2,400-gallon pond. At 10:00 A.M., he had filled 1,200 gallons. At what time will the pond be full?
Answer:
12:00 PM
Step-by-step explanation:
If it takes John 15 minutes to run 2 miles, how long will it take to run a 6 mile race at this same pace?
Answer:
45
Step-by-step explanation:
15 x 3 is 45
Answer:
45 minutes
Step-by-step explanation:
We will use ratios for this question:
[tex]\frac{15}{2} =\frac{x}{6} \\\\2x=90\\x=45[/tex]
Simplify the expression below
(2x^2-5x+6) + (5x^2-3x+ 4)
A. 7x^2-8x+10
B. 7x^2-2x+10
C. 7x^2-8x+2
D. 7x^2-2x+2
Answer:
A
Step-by-step explanation:
u just collect together like terms and add them together
Which of the lines below is perpendicular to
y=-3x+6?
A.Y=3x-9
B.Y=-3x+8
C.y1/3x-2
D.y=-1/3x-2
Answer:
The correct answer is C
Perpendicular lines have opposite reciprocal slope.
So, if the slope of the line is -3, then the slope of the perpendicular line is 1/3.
Let me know if this helps!
In pqr the measure of r is 90 degrees the measure of q is 38 degrees and qr is 8.8 feet. Find the length of pq to the nearest tenth of a foot
Answer:
11.2 feets
Step-by-step explanation:
Angle, P = 180 - (38 + 90) = 52
Using trigonometry :
Length pq:
SinP = opposite / hypotenus
Sin52 = 8.8 / pq
0.7880107 * pq = 8.8
pq = 8.8 / 0.7880107
pq = 11.167361
Hence, length of pq = 11.2 feets
LEGIT PLEASE HELP NO LINKS AND IF YOU EVEN THINK FOR THE SLIGHTEST SECOND THAT YOU CAN HELP THAN DO SO PLEASEEEEEEEEEEEEEEE
Answer: A. 5x+x+18 = 180
Step-by-step explanation:
For B you need to find the value of x first.
5x + x + 18 = 180 is your equation.
Combine like terms: 5x+x = 6x
Equation should now look like this
6x + 18 = 180
Subtract 18 to both sides 180-18 = 162
Do 162/6 = 27
X = 27
WE ARE NOT DONE!!!!!
1. 5(27) = 135
2. 27+18 = 45
Angle 1 = 135
Angle 2 = 45
Find the volume of a square pyramid with base edge = 9 cm
and height =7 cm.
Plz help fast
what is _--_
mCD
What ismediaUntitled111538744764.
Answer:
A. 60°
Step-by-step explanation:
∠BEC = 1/2 arc BC = 32°
∠CED = ∠BED - ∠BEC = 62° - 32° = 30°
arc CD = 2 x ∠CED = 2 x 30° = 60°
The measure of the arc CD of the circle is 60°
Given data:
The central angle is an angle with two arms and a vertex in the middle of a circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
And, Central Angle = 2 x Angle in other segment
So,
∠BEC = 1/2 arc BC = 32°
The measure of the angle ∠CED is determined as:
∠CED = ∠BED - ∠BEC = 62° - 32° = 30°
So, the measure of the arc from the central angle is:
arc CD = 2 x ∠CED = 2 x 30° = 60°
Hence , the measure of arc CD = 60°
To learn more about central angle click :
https://brainly.com/question/11877137
#SPJ2
HELPPP PLEASE!!!!!!!!!
Work Shown:
Focus on the angles at the bottom right
Those two angles add to 180 since they form a straight line. We consider them supplementary angles.
x+(4x-20) = 180
5x-20 = 180
5x = 180+20
5x = 200
x = 200/5
x = 40
Pls help me with this.
The equations of two lines are y = -x - 6 and 2x - 3y = -2. What is the value of the y in the solution for this system of linear equations?
Answer:
x = - 4
Step-by-step explanation:
y = -x - 6
2x - 3y = -2
Insert the first equation y = -x-6 into the second 2x - 3y = -2 .
2x - 3 (-x-6) = -2
2x +3x + 18 = -2
5x = -2 - 18
5x = - 20
x = - 20/5
x = - 4
When Albert was born, he was 19.5 inches "tall". Today, on his 13th birthday, Albert is four feet, nine inches.
How much did he grow:
Per year:
Per month:
Per day:
Per hour:
Answer: 76.5in or 6.37ft
Step-by-step explanation:
You would convert the 4 feet into inches which would be 48in. You would add the 9in and the 19.5in and come up with 76.5in. Then you just convert the 76.5in to 6.375ft
Is each statement true for ⊙P? Drag “true” or “false” below each statement
Write an explicit formula for the sequence 8, 6, 4, 2, 0, ... Then find a 14.
Oan=-2n + 10; -16
Oan=-2n + 8; -18
O an=-2n +8; -20
Oan=-2n + 10; -18
Answer:
the answer is -2n+10;-18
Give two solutions of the inequality: x > 4
Find the zeroes of the function f(x).
f(x)=(x–3)(x+4)
Answer:Set \displaystyle f\left(x\right)=0f(x)=0.
Step-by-step explanation:
Set \displaystyle f\left(x\right)=0f(x)=0.
If the polynomial function is not given in factored form:
Factor out any common monomial factors.
Factor any factorable binomials or trinomials.
Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.
