Answer:
Answer is A= 161°
Step-by-step explanation:
Since ∡HJK = 38° and ∡HKJ = ∡JHK = (180-38)/2 =71
Therefore ∡JKL = 71+90 = 161°
Kelly bought a computer that was 20% off the regular price of $1,060. If a 7% sales tax was added to the cost of the computer, what was the total price Kelly paid for it?
Answer: $ 1361.04
Step-by-step explanation:
Discount will be 1060 * 20% = 212
Sales price 1060 + 212 = 1272
Tax 7% = 89.04
Kelly paid 1272 + 89.04 = 1361.04
Tuition at Korby College is $16,340 this year. Omar has a scholarship that covers 30% of his tuition. He has $1,200 saved to use this year, and he expects to earn $2,000 at his part-time job. Omar will need student loans for the rest. How much money will he need to take out in student loans this year?
Answer:
$8,238
Step-by-step explanation:
The tuition is $16340, and the scholarship covers 30% of the tuition, which is;
= [tex]\frac{30}{100} *[/tex] $16340
= $4902
This leaves him with $11438 to pay and he has saved $1200 and also is expecting $2000 from his job giving him a total of an additional $3200.
Subtract this amount from the $11438 that he owes and it will give you $8238
This is the amount he will need student loans for.
Can someone plz help me solved this problem! Need help ASAP! Help me !
Answer: 5, 8
Step-by-step explanation:
The difference between 3 times a number and -8 is BETWEEN 23 and 32
Note: "difference" means subtraction --> 3x - (-8) --> 3x + 8
23 < 3x + 8 < 32
15 < 3x < 24 subtracted 8 from all 3 sides
--> 5 < x < 8 divided 3 from all 3 sides
What fraction is greater 6/8 or 3/2
Answer:
3/2
Step-by-step explanation:
3/2 is greater than 1. 6/8 is less than one.
what is 51 kobo in naira
Answer:
51 Kobocoin = 58.014484 Nigerian Naira
Step-by-step explanation:
51 Kobocoin = 58.014484 Nigerian Naira
Answer: 58.014484 Nigerian Naira (NGN)
Which statement below is the correct definition for denoting similar objects?
A. Similar objects have congruent angles and congruent sides
B. Similar objects have proportional angles and congruent sides
C. Similar objects have congruent angles and proportional sides.
D. Similar objects have proportional angles and proportional sides
Answer:
C. Similar objects have congruent angles and proportional sides.
Step-by-step explanation:
I took the test.
The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.
It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.
It should be noted that they don't have objects have congruent angles and congruent sides.
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Over what interval of x values is the function increasing ?
A) -infinity,2
B) (-1,5)
C)- infinity, 9
D) 2, infinity
Answer:
C. (-infinity,9)
Step-by-step explanation:
The correct interval of x values is the function increasing is,
⇒ (- ∞, 9)
Since, We know that,
If f(x) is increasing on (a, b),
Then, f(a) < f(b) on (a, b).
Here, By the graph of function, we get;
The correct interval of x values is the function increasing is,
⇒ (- ∞, 9)
Thus, The correct option is,
⇒ (- ∞, 9)
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A bicycle wheel turns at 80 rpm. If the rider travels 27.227 m in 10 seconds, what is the radius of the wheels of the bicycle?
Answer:
2.042 meters
Step-by-step explanation:
We have that the angular speed is 80 rpm and we can calculate the linear speed, we know that the linear speed is equal to the radius times the angular speed, like this:
v = w * r
w = 80 rpm, but we must pass it to seconds, that is:
80/60 = 1,333 rps, that is, revolutions per second, to have the same time unit as the linear speed.
v = distance / time = 27,227 / 10 = 2.7227
therefore, the radius would be:
r = v / w = 2.7227 / 1,333
r = 2.042
Which means that the radius is 2.042 meters.
plz help with super easy question
Answer:
its B binomial
Step-by-step explanation:
Hope it'll help
Answer:
binomial
Step-by-step explanation:
There are 2 terms within the given expression:
Term #1: 5a²b²
Term #2: -ab³
A monomial only has one term. Ex: 3x³
A binomial has two terms. Ex: 3x³ + 3
A trinomial has three terms. Ex: 6x³ + 3x² + 2
~
There are 60 girls and 40 boys attending a test. It is known that 80% of the girls pass and 15% of the boys fail the test. Find the percentage of students fail.
helpppppp plz
Answer:
54%
Step-by-step explanation:
20% of 60 = 48
15% of 40 = 6
48 + 6 = 54 fail
At a school carnival, the diameter of the mat of a trampoline is 12 feet and the diameter of its metal frame is 14 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth. A.) 37.7 feet B.) 44.0 feet C.) 75.4 feet D.) 87.9 feet
Answer:
B
Step-by-step explanation:
circumference can be found using formula 2 x pi x radius
radius of the entire trampoline = 7 ft
2 x 3.14 x 7 = 14 x 3.14 = 43.96
Rounded = 44.0 ft = B
Answer:
B
Step-by-step explanation:
The length around a circle, or the circumference, can be found with the formula [tex]\pi d[/tex], where d is the diameter. Therefore, the length of the frame is [tex]\pi \cdot 14\approx 44[/tex]. Hope this helps!
5 plus the difference of 9 and 4
For the morning walk, Naveen goes 4 km due west from his home and then from there 6 km due east in first round. If the end point of first round is the starting point of second round and so on, how far he be from his home after 3 rounds?
Answer:
6 km.
Step-by-step explanation:
Lets say moving west is negative and moving east is positive. This is thus equal to -4+6-4+6-4+6, which is equal to 6.
Solve the system by substitution.
у = x
-2x + 4y = 16
Answer:
Step-by-step explanation:
y = x
-2x + 4y = 16
-2x + 4x = 16
2x = 16
x = 8
y = 8
(8,8)
Answer:
Since y=x, then both variables must be the same.
-2x + 4y= 16
You have to have 16 on both sides
-2(8) + 4(8)=16
-16 + 32= 16
16=16
Step-by-step explanation:
There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 people use the gym and the pool. 29 people use the pool and the track. 25 people use the gym and the track. 11 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility
To find : Probability that person doesn't use any facility
Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11
So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130
P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130
Prob [ Person uses either P or G or T ] :
P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130
Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130
Hence, Probability that person doesn't use any facility = 35 / 130
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Answer:flying gorillla
Step-by-step explanation:because no
A local artist has made a temporary painting on the concrete surface of the school playground. It completely covers a 70 by 66 m² area of the playground. If 22% of the painting is blue, and 21% is red, how many m² of the painting are neither blue nor red?
Answer:
2633.4 meters²
Step-by-step explanation:
I'm going to assume you didn't mean to put 66 m²
70 m × 66 m = 4620 m²
22% of 4620 m² is 1016.4 m²
21% of 4620 m² is 970.2
4620-1016.4-970.2 = 2633.4 meters² that are not blue or red.
A package of construction paper has 6 sheets of red paper, 14 sheets of blue pape
and 10 sheets of yellow paper. If Dexter bought enough packages of construction
paper to have 50 sheets of yellow paper, how many sheets of red paper does he
have?
Answer:
50/10=5 so the ratio is 5 times more
there was 6 sheets of red paper and there is 5 times more so 5 x 6 = 30 red sheets
30 red sheets
Hope this helps
Step-by-step explanation:
Answer:
30 sheets of red paper
Step-by-step explanation:
Using proportion,
If 10 sheets of yellow paper = 6 sheets of red paper
then 50 sheets of yellow paper = ? sheets of red paper
[tex]\frac{50 sheets of yellow paper}{10sheets of yellow paper} * 6 sheets of red paper[/tex]
= 5 * 6 sheets of red paper
= 30 sheets of red paper
if a sixth skateboard is added to the sample that has a price of $450, what happens to the standard deviation
Answer:
75
Step-by-step explanation:
On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0). Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
Answer:
f of 5 equals negative 1
Step-by-step explanation:
equation- f(x) = -x + 4
f(5) = -5 + 4
f(5) = -1
Answer:
f(5)=-1
Step-by-step explanation:
please help!! any help is appreciated
Answer:
10 ounces
Step-by-step explanation:
Convert the original container into ounces. (1 quart=32 ounces)
5 x 32 = 160 ounces
Then the milk is divided into two containers.
160 / 2 = 80
Each container is then divided into 8 glasses.
80 / 8 = 10
Each glass has 10 ounces of milk in it.
Which rule represents the translation from the pre image, rhombus ABCD, to the image rhombus A'B'C'D' ?
Answer:
Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.
On a road trip you see a sign "350 km to Indianapolis". About how many hours will it
take you to drive to Indianapolis if you are traveling at 68 mi/h (1 mile 1.61 km).
Round your answer to the nearest hundredth.
Answer: 3.20 hours
Step-by-step explanation:
Hi, to answer this question, first we have to convert the kilometers into miles:
Since: 1 mile = 1.61 km
For 350km:
350 /1.61 = 217.39 miles
Next, we have to apply the next formula:
Time = distance / speed rateReplacing with the values given:
Time = 217.39 mi / 68 mi/h = 3.20 hours
Feel free to ask for more if needed or if you did not understand something
what is -5(3m+4)= Please help
Answer:
-15m-20
Step-by-step explanation:
-5(3m+4)
you have to multiply -5 by 3m and 4
-5x3m=-15m and -5x4 would be -20
so it would be -15m-20
what is the gradient of the line y=3x+7
Answer:
gradient = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = 3x + 7 ← is in slope- intercept form
with gradient m = 3
The gradient of the line can be obtained from the given equation as 3.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given equation of the line is y = 3x + 7.
Compare this equation with y = mx + c to get,
m = 3 and c = 7.
Where m and c are the slope and y-intercept of the line respectively.
Since, the gradient and slope are similar.
The gradient of the equation is 3.
Hence, the gradient of the line is 3.
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Vertical angles are always adjacent.
True False
Answer:
False
Step-by-step explanation:
Vertical angles are opposite to each other, so they are not adjacent.
Can i have some help please?
5(2x + 1) + 50
Answer:
4.5
Step-by-step explanation:
5(2x+1)=50
5(2x)+5(1)=50
10x+5=50
10x=45
x=4.5
Hope this helps!
Answer:
4.5
Step-by-step explanation:
To solve, expand first
5(2x+1) = 5 x 2x + 5 x 1 = 10x + 5
Now, we have
10x+5 = 50
Rearrange:
10x+5 = 50
10x = 45
x = 4.5
Hope this helps,
Good Luck
A panda weighed 8 pounds and gains 12 pounds every month. What is the vertical intercept (y-intercept) and what does it mean in the context of the situation?Immersive Reader
Answer:
y=8x+12
Step-by-step explanation:
At a TV.repair shop, the amount charged for labor depends on the time the
repair technician works. Which of the following shows this idea expressed in
function notation?
A. Amount(hours worked)
B. Time(number of televisions)
C. Amount(number of televisions)
D. Time(amount charged)
SEBNI
Answer:
A. Amount(hours worked)
Step-by-step explanation:
Function notation is a way of converting a written description of a function to a concise form that is easy to read.
It is another way of representing the y-value in a function, y = ƒ(something)
Let's convert the word expression to function notation:
"The amount charged for labour depends on the time the repair technician works." "The amount depends on the hours worked." "The amount is a function of the hours worked." Amount = amount(hours worked) y = a(h)
This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar
Answer:
200g oats
0.96l milk
72g sugar
Step-by-step explanation:
250/5 * 4 = 50 *4 = 200g oats
1.2/5 * 4 = 0.96l milk
90/5 * 4= 18*4 = 72g sugar
[tex]\sqrt[/tex] 25 = ?
_____
36
Answer:
sqrt(25/36) = 5/6 or sqrt(25)/36 = 5/36. Based on what your question states.
Step-by-step explanation:
Answer:
Hrm
Step-by-step explanation:
[tex]\sqrt{25} =5[/tex]
[tex]\frac{5}{36}[/tex]