===========================================================
Explanation:
The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.
Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.
Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.
Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)
a^2 + b^2 = c^2
a^2 + 5^2 = 9^2
a^2 + 25 = 81
a^2 = 81 - 25
a^2 = 56
a = sqrt(56)
a = sqrt(4*14)
a = sqrt(4)*sqrt(14)
a = 2*sqrt(14)
The exact length of PQ and PS is 2*sqrt(14) units.
---------
We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.
perimeter = PQ+QR+RS+SP
perimeter = 2*sqrt(14)+5+5+2*sqrt(14)
perimeter = 10+4*sqrt(14)
Answer is choice B
Side note: The expression above approximates to roughly 24.966629
-a-b³+ab if a=-3 and b=2
Answer:
-11
Step-by-step explanation:
Lets rewrite the equation with the values
-(-3) - 2³ + ab
3 - 8 + (-3*2)
-5 + -6 = -11
-11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
-11
Step-by-step explanation:
Simply plug in a=-3 and b=2 into the equation provided. Remember the signs (+/-) and be careful with your calculations.
-(-3) - (2)^3 + (-3)(2) = -11
Please answer this for me correctly. THANK YOU!!
Answer:
The answer is <MQL.
Find the mean absolute deviation for the following data:
6, 7, 10, 12, 13, 4, 8, 12
(A) 5.50
(B) 4.50
(C) 3.75
(D) 2.75
Which function would best represent “each ink cartridge purchased for a printer costs $12”.
Linear
Exponential
Quadratic
Just need a lil help kind of stucc .
Answer:
Scale Factor
Step-by-step explanation:
Sorry if im wrong. I just kinda tried :p
Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22
Answer:
A
Step-by-step explanation:
Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.
Isolate h to find the maximum number of hours she can rent the boat:
2h + 8 ≤ 32
First, subtract 8 from both sides.
2h ≤ 16
Then divide both sides by 2.
h ≤ 8
h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.
make sure answer is in degrees.
sin^-1(sin 17°)
Answer:
uhm 0 degrees
Step-by-step explanation:
The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.
What is inverse trigonometry?Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The inverse trigonometric expression is given below.
⇒ sin⁻¹(sin 17°)
We know that the value of sin⁻¹(sin θ) is θ.
Then the value of the inverse trigonometric expression will be
⇒ sin⁻¹(sin 17°)
⇒ 17°
Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.
More about the inverse trigonometry link is given below.
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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
x=34
Step-by-step explanation:
Again we are given an angle's ( x to be more specific ) opposite side length and the adjacent side length so we will use trig ratio tangent
Recall that tan = opposite over hypotenuse
[tex]tan(x)=\frac{29}{43}[/tex]
* multiply each side by the inverse of tan ( [tex](tan)^-^1[/tex] )
[tex]tan(x)*tan^-^1=x\\tan^-1*\frac{29}{43} =33.99645915\\x=33.99645915[/tex]
Finally we round to the nearest tenth of a degree and get that x = 34
What equation will you use to solve this problem.
Answer:
The answer is D! Sorry if I get the answer wrong.
Step-by-step explanation:
please help asap!!!!!!!!
Answer:
Step-by-step explanation:
Please help me with this problem.
In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63
Answer:
Step-by-step explanation:
uy
According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
How to calculate how much average household paid per year in federal gasoline taxes?To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:
Determine the total number of gallons of gasoline consumed by the average household per year:
Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)Calculate the total amount paid in federal gasoline taxes per year:
Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
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what is the area of the triangle.
Answer:
A=hbb= 2
Step-by-step explanation:
your welcome plz brainlist
Answer:
21.75u2
Step-by-step explanation:
first use pythag for this
use rule c2=b2+a2
reverse the rule so that
b2=c2-a2
b2=100-81
b2=19
b=4.35
how u got the height of the triangle
use formula bh/2
10x4.35/2
=43.5/2
=21.75u2
please help im reallyyyy desperate
NO LINKS OR FILES
Answer:
(2, -3), (3, -3)
Step-by-step explanation:
y = x^2 - 5x + 3
y = -3
x^2 - 5x + 3 = -3
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0
x - 3 = 0 or x - 2 = 0
x = 3 or x = 2
We are given y = -3.
Answer: (2, -3), (3, -3)
Answer:
(2, -3) , (3, -3)
Step-by-step explanation:
One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,
[tex]f(x)=x^2-5x+3[/tex]
Set this equation up, and solve to find the value of (x) that satisfies this requirement:
[tex]f(x)=x^2-5x+3=-3[/tex]
Inverse operations,
[tex]x^2-5x+6=0[/tex]
Factor, rewrite the quadratic equation as the product of two linear equations,
[tex](x-2)(x-3)=0[/tex]
Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.
(2, -3), (3, -3)
Um..Please help me with this...
Answer:
2,1 4,2 6,3 8,4 10,5 12,6 14,7 16,8 18,9 20,10 etc.
Step-by-step explanation:
Can anyone help me with this problem
Answer:3^2
Step-by-step explanation:
I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9
no files i’ll report your answer
50 point answer
•
In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular
Answer:
C. PerpendicularStep-by-step explanation:
The lines are making 90° with each other.
JK ⊥ LM, the lines are perpendicularCorrect choice is C
A rectangle has a length of 2 m and a width of 40 cm what is the perimeter of the rectangle ( show your work)
Answer:
0.05 im pretty sure to my calcutor
Step-by-step explanation:
What is the first step to solving 8=2/3x
Answer:
the first step is to divide two by three x
Answer:
x = 12
Step-by-step explanation:
Eliminating the fractional coefficient would be a great start:
8 = (2/3)x becomes 24 = 2x after multiplication of both sides by 3.
Then x = 12
Please help!
Three days a week after school, Sarah runs 2.2 miles each day. This week, Robert ran of the total d that Sarah ran. Also this week, Brooke ran 110% of the total distance that Sarah ran. What is the mea distance that each person ran this week?
A. 1.308 miles
B. 3.925 miles
C 5.995 miles
D. 17.985 miles
Answer:
c
Step-by-step explanation:
cvvvbbnh
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall.
Answer:
2400 in^3
Step-by-step explanation:
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?
the capacity of the tank can be determined by calculating the volume of the tank
volume of a prism = length x width x height
20 x 10 x 12 = 2400 in^3
Marking brainliest...
Answer:
C. 12
Step-by-step explanation:
Find the percentage of him drawing a blue marble.
4/10 = 0.4
He has a 40% chance of picking blue.
Find 40% of 30.
12
He would draw a blue marble around 12 times.
Answer:
C
Explanation:
So in the bag, there are 10 marbles, and 4 of them are blue, so if he drew from the bag 10 times, we can assume the fraction:
4/10
Next, we see that the denominator, or the number times Cade is drawing from the bag is 30, which makes us multiply most sides of the fraction by 3:
12/30
So I would say 12/30, but again, he wouldn't draw a blue exactly 4 times, and it may be more or less, so either 8/12....
Hope this helps!
Selection two: solving two step equations (7 of 10) 20-n=48
A.)17.5
B.)20
C.)18
D.)17
Answer: A
Step-by-step explanation: 35 / 2 = 17.5
Answer:
C. is correct
Step-by-step explanation:
i hope this helps :) brainliest please?
Need help !
Is it linear , quadratic, exponential
Answer:
Exponential
Step-by-step explanation:
So lets look at the table.
When x = 1, y = 3
When x = 2, y = 9.
Hmmm, this doenst seem like x+number=y. It doesnt seem like a quadratic, where the values go up, then down, then up again. Or vise versa.
So this rules out linear and quadratic, for the x doesnt change by a constant, or change the direction of y.
This leaves exponential or none of the above.
When x = 3, y = 27
When x = 4, y = 81
This seems like a exponent, since:
3 to the first power is 3
3 to the second power is 9
3 to the third power is 27
and 3 to the fourth power is 81
Answer:
exponential function
Hope this helps! ;)
PLZZZZZZZZZZZZ
She had a coupon for 15% off. The tax rate was 7.75%. If the subtotal was $35, how much money did Ms. Morel actually pay in total (after the discount and tax)? *
Answer:32.05
Step-by-step explanation:
SO after tax the total would be $37.71.With original price $37.71 and 15% discount,
Price after discount: $32.05
You saved: $5.66
What is the measure of XZ?
A. 36°
B. 144°
C. 72°
D. 18°
Answer:
C.72
Step-by-step explanation:
angle XYZ is an inscribed angle and arc XZ is the arc it intercepts
If you didn't know the measure of an inscribed angle is equal to half the measure of its arc it intercepts or an intercepted arc equals twice the measure of its inscribed angle
Hence, angle XYZ * 2= arc XZ
If Angle XYZ = 36
then 36 * 2 = arc XZ
36 * 2 = 72
hence the answer is C
The measure of arc is 72 degree, the correct option is C.
What is an arc?An arc is formed by two radii and their intercepted part on the circumference.
According to the theorem of arc and subtended angles, the central angle subtended by the arc is double the angle subtended by it on the circumference.
The angle subtended by arc XZ on the circumference is 36 degree.
The angle subtended by the arc at the center is = 2 * 36 = 72 degree.
The arc subtended by the arc at the center of the circle is the measure of the arc.
To know more about Arc
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will name brainliest
Answer:
a=12
Step-by-step explanation:
We must use SOH, CAH, TOA
SOH= Sin0=opp/hyp
CAH=Cos0=adj/hyp
TOA= Tan0=opp/adj
Since we have opposite and hypotenuse we use Sin ratio, in this case,
sin30°= [tex]\frac{a}{24}[/tex]
[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply
[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself
a=12
Answer:
a = 12
Step-by-step explanation:
To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;
Sin(30) = [tex]\frac{a}{24}[/tex]
Sin(30) * 24 = a
12 = a
Hope this helps!
Point P is at (3,-3) it undergoes the transformation (x - 2, y + 3). Where is P' at?
Answer:
The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].
Step-by-step explanation:
The coordinates of the point P' is determined by the following expression:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Translated point.
[tex]T(x,y)[/tex] - Translation vector.
If we know that [tex]P(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-2, 3)[/tex], then the coordinates of point P':
[tex]P'(x,y) = (3, -3) + (-2, 3)[/tex]
[tex]P'(x,y) = (1, 0)[/tex]
The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].
I need help with this ASAP!!
9514 1404 393
Answer:
(b) g, h, f
Step-by-step explanation:
The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.
Here, you want to list the functions in decreasing order of vertical scale factor:
g(x) . . . scale factor 4
h(x) . . . scale factor 2
f(x) . . . scale factor 1/3