Answers
Answer:
Angles around a point sum to 360°
⇒ ∠SPT + ∠TPU + 86° + 60° + 154° = 360°
⇒ ∠SPT + ∠TPU = 60°
Therefore:
∠SPQ clockwise = ∠SPT + ∠TPU + 86°
= 60° + 86°
= 146°
∠SPQ anticlockwise = 60° + 154°
= 214°
Answer:
See below ~
Step-by-step explanation:
The total internal measure is 360°.
154° + 60° + 86 + ∠STP + ∠TUP = 360°2∠STP + 300 = 360°2∠STP = 60°∠STP = ∠TUP = 30°Finding ∠SPQ (clockwise):
2∠STP + 86°2(30) + 86146°Finding ∠SPQ (counterclockwise) :
360° - 146°214°Related Questions
What is the discriminant of the quadratic equation 2x + 5x = 1?
0-18
0-16
022
24
Answers
The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.
--
Use this formula
b²-4acPlug in
You get 24
Answer:
24
Step-by-step explanation:
Discriminant
b² - 4ac (when ax² + bx + c = 0)
Assuming the given equation is: 2x + 5x² = 1
Rewrite the equation so that it equals zero:
⇒ 5x² + 2x - 1 = 0
Therefore, a = 5 b = 2 c = -1
Input these into the discriminant formula and solve:
⇒ 2² - 4(5)(-1) = 4 + 20
= 24
Therefore, the discriminant of the quadratice equation is 24.
Need help with this question and also need to know how to put this on a calculator. It's in the picture.
Answers
Answer:
f(-3) = 36g(5) = -21Step-by-step explanation:
f(x) = 3x² - 3x
g(x) = -5x + 4
Find the value of the function when x = -3:
f(x) = 3x² - 3x
f(-3) = 3(-3)² - 3(-3)
f(-3) = 3(9) + 9
f(-3) = 27 + 9
f(-3) = 36
Find the value of the function when x = 5:
g(x) = -5x + 4
g(5) = -5(5) + 4
g(5) = -25 + 4
g(5) = -21
Hope this helps!
14. Which is a true statement if Line XY is tangent to Circle P?
a. ab=bc
b. a^2 = bc
c. a = bc
d. a^2 = 5(b + c)
Answers
Answer:
d. [tex]a^2 =b(b+c)[/tex]
Step-by-step explanation:
Option d is the correct answer.
What is the name of this polygon? rhombus rectangle square trapezoid A quadrilateral. What is the name of this polygon?
rhombus
rectangle
square
trapezoid
A quadrilateral. Each angle has a small square.ach angle has a small square.
Answers
Step-by-step explanation:
Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases)
to win at lotto in one state one must correctly select 7 numbers from a collection of 57 numbers. how many different selections are possible
Answers
the table shows the enrollment in a university class so far, broken down by student type.
adult education 7
graduate 2
undergraduate 9
Considering this data, how many of the next 12 students to enroll should you expect to be undergraduate students?
Answers
Answer:
6
Step-by-step explanation:
The number of students in the next 12 to enroll should you expect to be undergraduate students is 6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
From the table,
Total number of students = 7 + 2 + 9 = 18
Number of undergraduates = 9
Probability of having a undergraduate student to enroll = 9/18 = 1/2
When the next 12 students are enrolled,
Number of undergraduates = 1/2 × 12 = 6
Hence 6 students are expected to be undergraduates in the next 12 students.
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Which of the following is the absolute value parent function?
Answers
Answer:
A. F(x) = |x|
Step-by-step explanation:
Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43
find tan0 please help fast!
Answers
Answer:
Tan(51.06) = 1.24 so the correct answer is A
Step-by-step explanation:
Sin0 = 7/9
0 =Arcsin(7/9)
0 =51.06
So,
Tan(51.06) = 1.24 so the correct answer is A
Answer:
A. [tex]\frac{7\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Finding the missing side :
7² + x² = 9²
x² + 49 = 81
x² = 32
x = 4√2
Taking the tan value :
tanθ = 7/(4√2)
tanθ = 7(4√2)/4√2(4√2)
tanθ = 28√2/32
tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]
At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.
Answers
Answer:
2-point shots = 41, 1-point shots = 16Step-by-step explanation:
Let the number of 1-point shots is x and 2-points shots is y.
The system as per question is
x + y = 571*x + 2*y = 98Solve it by elimination, subtract the first equation from the second
x + 2y - x - y = 98 - 57y = 41Find the value of x
x + 41 = 57x = 16The swimming pool at Spring Valley High School is a rectangle with a width of 60 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Which expression represents the area of the tiled floor?
A. (2w2 + 90w) m2
B. (6w2 + 120w + 875) m2
C. (4w2 + 180w + 1800) m2
D. (4w2 + 180w) m2
Answers
Answer:
d. (4w2 + 180w) m2
Step-by-step explanation:
Area of tiled floor = (area of tiled floor+ pool ) - area of pool
area of pool =l x b = 30 x 60 =1800 ...............a
length of pool + tiled floor = 30+2w
breadth of pool + tiled floor = 60+2w
Hence, (area of tiled floor+ pool ) =
(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b
b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w
Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5
Answers
Step-by-step explanation:
4x-1
x+-×+1=5
×-5
there are no terms like that
Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume this rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?
Answers
The unit rate can be interpreted as the slope will give [tex]\dfrac{1}{8}[/tex] of a delivery per hour
What is graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given: The total time for which Noel drives = 152 hours
The total number of successful deliveries = 19
Now, Noel's unit rate for successful delivery is given by:-
[tex]\rm =\dfrac{Total\ succesful\ deliveries}{Total\ hours}=\dfrac{19}{152}=\dfrac{1}{8}[/tex]
Hence, Noel's unit rate for the successful delivery 1/8 of a delivery per hour
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solution for this one step by step please
Answers
Answer:
[tex]D.\:\:\:\:\:\sec^4\theta[/tex]
Step-by-step explanation:
[tex]\frac{1+\tan^2\theta}{\cos^2\theta}[/tex][tex]=\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)[/tex][tex]=\sec^2\theta.\frac{1}{\cos^2\theta}[/tex][tex]{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)[/tex][tex]=\sec^4\theta[/tex]Hope it helps you in your learning process.
Answer:
D
Step-by-step explanation:
using the identities
1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then
[tex]\frac{1+tan^20}{cos^20}[/tex]
= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]
= sec²Θ × sec²Θ
= [tex]sec^{4}[/tex]Θ
PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14
Answers
Case 1
x>14Case 2
-x>14x<-14Option A
It's impossible thing
If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)
Answers
--
the probability of getting one head and one tail on the toss of two coins is 0.5percent chance
On June 1, Bonnie's car had 23,825 miles. On
September 1, her car had 24,385 miles. What is
the average rate of change?
Answers
Step-by-step explanation:
well, it changed by 560 miles overall. in a matter of 3 months.
but for the rate of change I have to ask what is the unit of time for that consideration ?
the rate of change is the change of the functional value over an interval divided by the length of the interval.
if 3 months is the unit of time, then the change rate is 560/1 = 560 miles per quarter.
if the unit of time is 1 month, then the change rate is 560/3 miles per month.
if the unit of time is days, then we have 30+31+31 = 92 days in that interval, and the change rate is 560/92 = 140/23 miles per day.
and so on.
One angle in a pair of supplementary angles has a value of 2x. The other angle is 30 degrees less than two times the first angle. Which of these equations can be used to find the measurement of each angle?
6x-30=90
6x+60=90
6x-30=180
6x+60=180
Answers
The equations which can be used to find the measurement of each angle will be 6x-30=180.
What is the supplementary angle?The supplementary angles are defined as the angles whose sum is equal to 180°.
It is given that:-
One angle in a pair of supplementary angles has a value of 2x
The other angle is 30 degrees less than two times the first angle.
Now from the first condition, One angle in a pair of supplementary angles has a value of 2x we can write that:-
2x + A = 180 .........................1
Now from the second condition,The other angle is 30 degrees less than two times the first angle
A = 4x - 30 ..............................2
Hence from the above two equations put the value of A in equation 1
the equation will be:-
2x + 4x - 30 = 180
6x - 30 = 180
Hence the equations which can be used to find the measurement of each angle will be 6x-30=180.
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A particular candle gives out 4 lumens more light than the average. The standard deviation is 3 lumens. What
percentage of candles give out more light than this one?
Answers
Britney is buying a shirt and a hat at the mall. The shirt costs $30.50, and the hat costs $19.75. If Britney gives the sales clerk$100.00, how much change should she receive? (Ignore sales tax.)
A. $49.75
B. $50.25
C. $59.50
D. $46.65
Answers
Explanation:
Add 30.50 and 19.75 to get 50.25
Subtract 100-50.25 to get 49.74
Hope it helped!
Can someone answer theese questions I WILL GIVE BRAINLIST and thanks and a 5 star if they are correct
Answers
I hope this helps
I need help on question b
Answers
Answer:
B=25
Step-by-step explanation:
Simply plug in 10 where x is
2(10)2(10-5)/10(10) = 25
On a map. 1 inch equals 10 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.
Answers
Answer:
20 mile
Step-by-step explanation:
One inch is equivalent to 10 miles. Given this comparison in regards to scale, 2 inches would simply be 2 times that. In basic terms, 2 times or inches multiplied by each 10 mile increment would be stated as 2 inches x 10 miles, resulting in a 20 mile distance between the two cities.
how to simplify (4i)^2 ?
Answers
Answer:
-16
Step-by-step explanation:
Simplify:[tex](a*b)^m=a^m * b^m\\[/tex]
i² = -1
(4i)² = 4² * i²
= 16 * (-1)
= -16
Let's examine what we know:
[tex](ab)^x=a^x * b^x[/tex]
So, In the equation: [tex](4i)^2[/tex]
⇒ is equivalent to ⇒ [tex]4^2*i^2= 16 * (-1) = -16[/tex]
Answer: - 16
Hope that helps!
If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?
Answers
Answer:
like a 85 hop this helps I'm so sorry have a good day stay safe
Answer:
your grade will be 166%.
Step-by-step explanation:
First I subtract 86-50=36.
second I add 100+30=130.
total is 130+36=166%
Solve x^2 - 3x + 5 = 0.
Answers
Answer: A
Step-by-step explanation:
x^2 - 3x + 5 = 0 - quadratic equation
Standard quadratic equation form: a^2 + bx + c = 0
Here a = 1, b = -3, c = 5Discriminant formula: D = b^2 - 4acD = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)
x1 = (-b - sqrt(D)) / (2*a)x2 = (-b + sqrt(D)) / (2*a)x1 = (3 - sqrt(-11)) / 2
x2 = (3 + sqrt(-11)) / 2
I don’t understand and I need the answer
Answers
Answer:
y2 + 2y + 80
Step-by-step explanation:
Hope this helpd :) Mark brainliest?
Answer:-21
Step-by-step explanation:
-21 i think but im pretty sure
Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal
Answers
Answer:
D. Coal.
Step-by-step explanation:
Doesn’t really affect the earth in any way.
If f(x) = 2x − x² + 3, find f(x − 4).
Answers
Answer:
−x^2+10x−21
Step-by-step explanation:
Hope this helped you! If this is wrong, please tell me and have a good day!
There are 3 people fishing at a lake. Each person caught 5 fish. What was the total number caught by 9 people?
Answers
Each person caught 5 fish.
Multiply 5 fish by total people.
5 x 9 = 45
Answer: 45 fish
Answer:
45 fish
Step-by-step explanation:
Given :
Each of the 3 people caught 5 fishSolving :
For 9 people, multiply the number caught by each into 95 × 945 fishPaul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.60 per slice, then how much of the money is left at the end of the school week?
A. $18.80
B. $14.10
C. $12.60
D. $14.20
Answers
Answer:
C. $12.60
Step-by-step explanation:
he has $25.00 for the whole week
monday through thursday, or four days, he buys school lunch for $1.50
1.5 x 4 = 6
on friday, he buys 4 slices of pizza for $1.60 per slice
4 x 1.6 = 6.4
Expenses together:
6.4 + 6 = 12.4
Find what he has left:
25-12.4 = 12.6
C. $12.60