Answer:
Option C
Step-by-step explanation:
angle B = angle C
angle B + angle C = angle DAC
angle DAC = 2 x angle DAX
angle DAX = 70 deg
=> angle DAC = 2 x 70 = 140 deg
=> angle B = angle C = 70 deg
A is the midpoint of LB, LB = 6x - 17 and AB = 2x + 3
The central angle of sector R is 38° and the central angle of sector Q is 39°. What is the probability that the spinner does not land on Q or R? P Q R S T U
Answer: 0.786
Step-by-step explanation:
Here i would assume that:
Sector R and Sector Q do not have any sections in common.
Then, the probability that the spinner does not land on Q or R, is equal to the probability where the spinner does not land in a specified section of:
38° + 39° = 77°.
Now, the total section off the spinner is 360°.
If we remove those 77°, we have a section of:
360° - 77° = 283°
So we have 283° where the spinner CAN land on.
Then the probability that the spinner does NOT land on R or Q is equal to the quotient between the section of the spinner that is not R or Q, and the total section of the spinner"
P = 283/360 = 0.786
So the probability is 0.786
victor needs 30 feet of rope. the rope he want to buy is sold by the yard. he know that there are 3 feet in the 1 yard. how many yards should he buy?
Answer: 10 yards
Step-by-step explanation:
Covert 30 feet into yards to find how many yards he should buy.
[tex]\frac{30}{3} = \frac{x}{1}[/tex] Solve by cross product
3x = 30
x = 10
Suppose the equation of line p is x = 2 and the equation of line q is x = –1. What translation is equivalent to (Rp ∘ Rq) (ΔABC)?
Answer:
T(6,0)
Step-by-step explanation:
Reflection across two parallel lines results in translation by double the distance between them. Assuming this means ...
Rp(Rq(∆ABC))
the translation is to the right by 6 units.
_____
The attached figure shows the reflections we understand to be indicated by the notation (Rp ∘ Rq) (ΔABC).
Answer:
above
Step-by-step explanation:
please help me out!
simplify:
|-5| + 2
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Recall that absolute value is the positive of a real number so
|-5| = 5
This added to 2 gives 7
A square window in Miranda's house has an area of 255 in2 (squared). What is the perimeter of the window?
Answer:
If you meant the area was 255 in²:
Perimeter is [tex]4\sqrt{255}[/tex], or around 63.89 in.
If you meant that the area was 225 in²:
Perimeter is 60 in
Step-by-step explanation:
If you meant the area was 255 in²:
If we have a square with an area of 255 in², then it's side length will be [tex]\sqrt{255}[/tex] inches long, since the area of a square is [tex]l^2[/tex], where l is the length.
Since [tex]\sqrt{255}[/tex] doesn't return a rational number, we'll leave it as [tex]\sqrt{255}[/tex].
Now that we know the side length, the perimeter of a square is represented as [tex]4l[/tex], where l is the length.
We know the length is [tex]\sqrt{255}[/tex], so we can multiply this by 4.
[tex]4\sqrt{255}[/tex]. This is the simplest it gets.
If you meant the area was 225 in²:
Following the same concept as again:
Length: [tex]\sqrt{225} = 15[/tex]
Perimeter: [tex]4\cdot15=60[/tex] in
Hope this helped!
Answer:
P = 63.87 in
Step-by-step explanation:
area of a square window = 255 in²
find perimeter of the window.
A = s²
255 = s²
s = 15.97 in.
perimeter = 4 * s
P = 4 (15.97)
P = 63.87 in
Valerie is the building manager for the cowardly enterprise office building One of her responsibilities is cleaning the office buildings 200 gallon aquarium for cleaning she must remove the fish from the aquarium in drain the water the water drain a constant rate of 10 gallons per minute what is the independent and dependent variables
Answer:
The independent variable = The volume of water in the aquarium
The dependent variable = The time it will take to drain the aquarium
Step-by-step explanation:
The independent variable, as indicated in the name is the variable that is not influenced by other variables but can predetermine its own self and it is not altered by the other variables being analysed
Therefore, the independent variable is the water in the 200 gallon aquarium
The dependent variable, is the tested or measured variable and is dependent on the independent variable, which is the time it takes to drain the 200 gallon aquarium.
I would appreciate some help :)
Answer:
See below
Step-by-step explanation:
(a) Remember that the median of any data set is represented by the " middle line " of the box plot. The median of Brand X would be 13, and the median of Brand Y would be 16.
(b) The median of each respective box plot is not in range of their respective boxes. Therefore Brand X has a much smaller time span that Brand Y. This proves that one would favor Brand Y over Brand X.
-8 + 10 + (-3) -(-2)
Answer:
1
Step-by-step explanation:
-8 + 10 + (-3) - (-2)
=> -8 + 10 - 3 + 2
=> 12 - 11
=> 1
Answer:
1Step-by-step explanation:
[tex]-8+10+\left(-3\right)-\left(-2\right)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\\\-8+10=2\\\\=2+\left(-3\right)-\left(-2\right)\\\\\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a\\\\+\left(-3\right)=-3\\\\=2-3-\left(-2\right)\\\\2-3=-1\\\\=-1-\left(-2\right)\\\\=-1+2\\\\=1[/tex]
Select the correct answer.
Which expression simplifies to 2V15?
O A. 17
19
V30
D. V60
HELP!! im doing the plato test rn
Answer:
D
Step-by-step explanation:
Prime factorize 60
[tex]\sqrt{60}=\sqrt{2*2*3*5}=2\sqrt{3*5}=2\sqrt{15}[/tex]
the density of concentrated sulphuric acid is 1.8 g/cm.calculate the volume of 3.1 kg of the acid
Step-by-step explanation:
[tex]density = \frac{mass}{volume} \\ volume = \frac{mass}{density} \\ changing \: 1.8 {gcm}^{ - 3} to \: {kgm}^{ - 3} \\ multiply \: by \: 1000 \\ = 1800 {kgm}^{ - 3} \\ volume = \frac{3.1}{1800} \\ = 0.00172 {m}^{ 3} [/tex]
The volume of 3.1 kg of concentrated sulfuric acid is 1722.22 [tex]cm^{3}[/tex].
Here's the solution:
The density of concentrated sulfuric acid is 1.8 g/[tex]cm^{3}[/tex]. This means that 1.8 grams of concentrated sulfuric acid will occupy 1 cubic centimeter of space.
If we have 3.1 kg of concentrated sulfuric acid, then we have 3100 grams of concentrated sulfuric acid.
The volume of this amount of concentrated sulfuric acid will be:
volume = mass / density
volume = 3100 g / 1.8 g/[tex]cm^{3}[/tex]
volume = 1722.22 [tex]cm^{3}[/tex]
Therefore, the volume of 3.1 kg of concentrated sulfuric acid is 1722.2[tex]cm^{3}[/tex]
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At $15 per square foot, the cost of installing flooring in a room with these dimensions a.$121.50 b.$1215.00 c.$1290.00 d.$81
Answer:
b. $1215.00
Step-by-step explanation:
The area of the room can be figured any of several ways. One easy way is to figure the area of the enclosing 8 ft by 12 ft rectangle, then subtract area of the 3 ft by 5 ft cutout at upper left.
A = (8 ft)(12 ft) - (3 ft)(5 ft) = (96 -15) ft^2 = 81 ft^2
At a cost of $15 for each square foot, the installed flooring will cost ...
($15 /ft^2)(81 ft^2) = $(15·81) = $1215
3x=9 divide each side by 3 x=3
Answer:
3
Step-by-step explanation:
3x=9
3(3)=9
3/3=0=9/3=3
answer=3
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at selects every th that comes off the assembly line starting with the until she obtains a sample of . What type of sampling is used? A. Systematic B. Stratified C. Convenience D. Simple random E. Cluster
Answer: systemic
Step-by-step explanation:
Multiply the following numbers and write your answer in the correct number of sig figs: 210.6 X 56.0
Answer:
11,793.6
Step-by-step explanation:
what is 7/2 as a mixed number
Hello! :)
Answer:
[tex]\huge\boxed{3\frac{1}{2}}[/tex]
[tex]\frac{7}{2}[/tex] as a mixed number:
Divide 2 from 7 and find the remainder:
7 ÷ 2 = 3 R 1.
An improper fraction in mixed form has the quotient as the coefficient, and the remainder over the fraction. Therefore:
[tex]\frac{7}{2} = 3\frac{1}{2}[/tex]
Answer:
[tex]3\frac{1}{2}[/tex]
Step-by-step explanation:
Step 1: Define mixed fraction
A mixed fraction is a number with a whole number and a fraction together
Step 2: Find mixed fraction
Ask how many time can 2 completely fit into 7 without leaving anything left over, 2 fits in 7 3 times because 2 x 3 = 6 and 7 - 6 is 1. We put 3 in front of the fraction and we keep the 1 left over in the numerator of the fraction with 2 as the denominator to get [tex]3\frac{1}{2}[/tex]
When bisecting a line segment, why must you find the intersection points of the arcs both above and below the line segment?
(1 point
The intersection point above the line segment overestimates the midpoint, while the intersection point below the line segment
underestimates the midpoint
Only one intersection point is needed to find the midpoint, but finding both points allows you to check your work
Finding both intersection points helps if the line segment is not completely vertical or horizontal
Ite
To make sure that you get a straight ine to bisect the line segment
Answer:
To make sure that you get a straight line to bisect the line segment
Step-by-step explanation:
Answer:
The last option.
Step-by-step explanation:
You get a straight line that passes through the midpoint.
I need help. I don’t understand what I have to do
Answer:
Hey there!
3x-5+2x+2+3x+5
3x+2x+3x-5+2+5
8x+2=90
8x=88
x=11
Let me know if this helps :)
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
MA is perpendicular to AT.
To find: angle HAT.
Now,
angle HAT + (2x + 2)° + (3x + 5)° = 90° { As MA perpendicular to AT. }
Now,
Replace angle HAT by (3x - 5)°.
(3x-5)° + (2x+2)° + (3x+5)° = 90°
Open brackets,
3x - 5° + 2x + 2° + 3x + 5° = 90°
Add like terms.
8x + 2°= 90°
8x = 90°-2°
[tex]x = \frac{88°}{8} [/tex]
x= 11°.
Now, finding the value of angle HAT.
(3x-5)° = 3×11°-5°
Therefore, angle HAT is 28°.
Hope it helps...
The upper-left coordinates on a rectangle are (-5, 6)(−5,6)left parenthesis, minus, 5, comma, 6, right parenthesis, and the upper-right coordinates are (-2, 6)(−2,6)left parenthesis, minus, 2, comma, 6, right parenthesis. The rectangle has a perimeter of 16units.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
The upper-left coordinates on a rectangle are (−5,6) and the upper-right coordinates are (−2,6). The rectangle has a perimeter of 16units. Draw the rectangle on the coordinate plane below.
If the coordinates of the top of the triangle (breadth) is (−5,6) and (−2,6), we can calculate the breadth of the rectangle by taking the difference between the two points using the formula:
D = √(y₂-y₁)²+(x₂-x₁)²
Given x₁ = -5, y₁= 6, x₂ = -2 and y₂ = 6
D = √(6-6)²+(-2-(-5))²
D = √0²+3²
D = √9
D = 3 units
Breadth = 3 units
Given the Perimeter to be 16 units and the formula for calculating the perimeter of rectangle t be P = 2(L+B), we can get the length of the rectangle.
16 = 2(3+L)
16 = 6+2L
16-6 = 2L
2L = 10
L = 10/2
L = 5 units.
Hence the length of the rectangle is 5 units and the breadth is 3 units. Find the diagram in the attachment.
Answer:
This other person is correct! I checked =)
Step-by-step explanation:
Use the distributive property to evaluate the expression. Which statement is equal to 8(26)? Which expression shows the result after using the distributive property? Evaluate the expression.
Answer:
8(20 + 6)
8(20) +8(6)
208
Step-by-step explanation:
Got it right EDGE 2021
The value of 8(26) after using the distributive property will be 208.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given, 8(26)
8(26) = 8(20 + 6)
By using the distributive property of multiplication,
8(26) = 8 × 20 + 8 × 6
⇒ 160 + 48
⇒ 208
Hence "The value of 8(26) after using the distributive property will be 208".
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Two friends went fishing on a lake. One friend’s lure went 23 feet below the lake’s surface, while the other friend’s lure sank to a depth of 81 feet below the surface. What was the difference in the depths of the lures?
Answer:
58 feet
Step-by-step explanation:
Find the difference by subtracting 23 from 81.
81 - 23
= 58 feet
At a corner bakery, 6 croissants and 3 cups of coffee costs $25.95. An order of croissants and 6 cups of coffee costs $26.70. What is the cost of an order of 1 croissants and 1 cup of coffee?
Answer:
$6.36
Step-by-step explanation:
this is a system of equations problem. There are two main methods for this type of problem: elimination and substitution(I used both here). A-croissants, B-coffee.
The cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.
We need to form the system of equations for the given statement.
What is the system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Let the cost of croissants be x and the cost of cups of coffee be y.
6 croissants and 3 cups of coffee costs $25.95
6x+3y=25.95-----(1)
1 croissant and 6 cups of coffee cost $26.70
x+6y=26.70-----(2)
(6x+3y)6=25.95×6
⇒36x+18y=155.7-----(3)
(x+6y)3=26.70×3
⇒3x+18y=80.1-----(4)
Subtract (4) from (3).
That is, 36x+18y-(3x+18y)=155.7-80.1
⇒33x=75.6
⇒x=2.3
Substitute x=2.3 in equation (1).
That is, 6(2.3)+3y=25.95
⇒3y=12.15
⇒y=4.05
Therefore, the cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.
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please help me on this !
Answer:
B.) 20
Step-by-step explanation:
We know the midpoint of half of the segment, which is 5. You can use this to find the length of half, after which you can find the entire length by multiplying by 2:
[tex]RN+NS=RS\\5+5=10\\HR+RS=HS\\10+10=20[/tex]
The length of HS is 20.
is 0.987987 repeating rational or irrational
Answer:
is repeating rational
In the figure below, one side of the right triangle is a diameter of the semicircle.
10 units
6 units
8 units
What is the approximate total area of the shaded part of the figure?
Answer:
Option (A)
Step-by-step explanation:
One side of the given triangle is a diameter of the semicircle given.
Measure of the diameter = 10 units
Total area of the semicircle = [tex]\frac{1}{2}\pi (r^{2})[/tex]
= [tex]\frac{1}{2}\pi (5)^2[/tex]
= 39.27 square units
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(6)(8)[/tex]
= 24 square units
Area of the shaded region = Area of the semicircle - Area of the right triangle
= 39.27 - 24
= 15.27 square units
≈ 15 square units
Therefore, option (A) will be the answer.
Stacy milk to make pancake batter. The recipe calls for 3/4 of jug of She 1/4 a jug How much more milk does she need?
Answer:
More milk does she need = 1 / 2 jug
Step-by-step explanation:
Given:
Recipe call milk = 3/4 jug
Stacy had = 1/4 jug
Find:
More milk does she need
Computation:
More milk does she need = 3/4 - 1/4
More milk does she need = (3 - 1) / 4
More milk does she need = 2 / 4
More milk does she need = 1 / 2 jug
Two angles are supplementary one angle is 2/3 the measure of the other one find both angles
Answer:
The measures are 108 deg and 72 deg.
Step-by-step explanation:
The larger angle has measure x.
The smaller angle has measure (2/3)x.
They are supplementary, so the sum of their measures is 180 degrees.
x + (2/3)x = 180
(3/3)x + (2/3)x = 180
(5/3)x = 180
(3/5) * (5/3)x = (3/5) * 180
x = 108
(2/3)x = 2/3 * 108 = 72
Answer: The measures are 108 deg and 72 deg.
You have to catch the bus at 11:15am for a movie! It
takes you twenty minutes to shower and dress, fifteen minutes to eat breakfast, and ten
minutes to walk to the bus stop. By what time should you get you get up?
Answer:
Hey there!
To solve this problem, we must first find the total amount of time it takes for you to get ready in the morning!
20 minutes for shower + 15 minutes to eat + 10 minutes to walk.
This is a total of 20+15+10 or 45 minutes.
For our answer, we have that you should wake up 45 minutes before 11:15, which is 10:30 AM.
Let me know if this helps :)
Answer:
10:30 am
Step-by-step explanation:
11:15 am - 20 min = 10:55 am10:55 am - 15 = 10:40 am10:40 am - 10 = 10:30 amI hope this helps!
What is the actual distance of 9 cm on a map whose scale shows that 3 cm = 5 km? A. 18 km incorrect answer B. 12 km incorrect answer C. 21 km incorrect answer D. 15 km
Answer:
15 km
Step-by-step explanation:
3 cm on the map = 5 km
3 x 3 = 9 cm
5 x 3 = 15 km
So, 9 cm on the map = 15 km
Answer:
D. 15 km
Step-by-step explanation:
If the discriminant of a quadratic equation is 4 which statement describes the roots.
Answer:
2 real roots
Step-by-step explanation:
If the discriminant is >0 then the equation has 2 real roots
If the discriminant is =0 then the equation has 1 real roots
If the discriminant is <0 then the equation has 2 complex roots
since the discriminant is 4, it has 2 real roots
Answer:
It will have 2 real roots
Step-by-step explanation:
4>0 :)