Answers
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Related Questions
If sin^2(x) - 2sin(x) = 2, then sin(x) = _____.
Answers
.. z^2 -2z = 2
.. z^2 -2z +1 = 3
.. (z -1)² = 3
.. z -1 = ±√3
.. z = 1 -√3 . . . . . the positive solution is extraneous
sin(x) = 1 -√3
solve for 9(p-4)=-18
Answers
Simplify our equation by multiplying the parenthesis out.
(9 × p) + (9 × -4) = -18
Simplify.
9p + (-36) = -18
Get rid of parenthesis.
9p - 36 = -18
Now, since we're trying to isolate "p," we need to add 36 to both sides.
9p - 36 + 36 = -18 + 36
Simplify.
9p = 18
Divide both sides by 9.
9p ÷ 9 = 18 ÷ 9
Simplify.
p = 2
~Hope I helped! :)~
To solve the equation 9(p-4)=-18, distribute the 9, then add 36 to both sides, and finally, divide by 9 to isolate p, resulting in p = 2.
To solve the equation 9(p-4)=-18, we need to isolate the variable p. Here's a step-by-step solution:
First, let's distribute the 9 to both terms inside the parentheses: 9 times p - 9 times 4 = -18, which simplifies to 9p - 36 = -18.Next, we'll add 36 to both sides of the equation to move the constant term to the right side: 9p - 36 + 36 = -18 + 36, resulting in 9p = 18.Lastly, we'll divide both sides by 9 to get p by itself: 9p / 9 = 18 / 9, which gives us p = 2.The solution to the equation 9(p-4)=-18 is p = 2.
Delaney gave her hair stylist a $4.60 tip. The tip was 5% of the cost of the haircut. Write an equation to find b, the cost of the haircut.
Answers
Cost of haircut times 5% equals $4.60.
b * 5%= $4.60
5b= 4.60
divide both sides by 5%
b= $4.60/5% OR b= $4.60/0.05
If you have to also find the cost, b=$92 total cost for haircut.
ANSWER: To find the cost of the haircut, you can use either b= $4.60/5% OR b= $4.60/0.05
Hope this helps! :).
The total cost of haircut is $92.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
Delaney gave her hair stylist a $4.60 tip.
The tip was 5% of the cost of the haircut.
let the cost of haircut be b.
So, 5% of b = 4.60
5/100 b = 4.6
b= 460 / 5
b = $92.
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a forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest foot how far is the fire from the base of the tower show the steps you use to find the solution
running short on time to turn this answer in plz help
Answers
use the trigonometric function which is tangent
tangent is equal to opposite/hypotenuse
the angle is 11 degrees
28 foot will be your opposite
your hypotenuse is the missing
tan(11 degrees)=28 foot/ hypotenuse
hypotenuse= [28 foot/ (tan 11 degrees)]
hypotenuse = 98.8 feet
Geometry :)))))))))))))))))))))))))))))))
Answers
(a) BC = 40
(b) GF = 15
(c) CD = 45
(d) KM = 37.5
=========================================================
Explanations:
Part (a)
GF is a midsegment of triangle ABC, so GF is half that of the parallel base AC
AC = 30 so GF = (1/2)*AC = 0.5*30 = 15
--------------------------
Part (b)
For similar reasons as part (a), FB if half that of BC. This leads to FB = FC
FB = FC
FC = 20
since FB = 20
Now use the segment addition postulate
BC = BF + FC
BC = 20 + 20
BC = 40
Note: FB is the same as BF. The order of the letters does not matter.
--------------------------
Part (c)
GF = AD are the same length because of the single tickmark
GF = 15 so AD = 15
use the segment addition postulate
CD = CA + AD
CD = 30 + 15
CD = 45
--------------------------
Part (d)
EG = 15 since GF = 15 (and EG = GF by the single tickmark)
use the segment addition postulate
EF = EG + GF
EF = 15 + 15
EF = 30
The length of KM is the average of the base lengths EF and DC, since KM is a midsegment of the trapezoid
KM = (EF+DC)/2
KM = (30+45)/2
KM = (75)/2
KM = 37.5
The measures are:
(a) BC = 20 mm
(b) GF = 10 mm
(c) CD = 10 mm
(d) KM = 10 mm
To find the measures you're looking for in the given diagram, we'll use properties of midsegments in triangles and trapezoids.
First, let's establish some properties:
In triangle ABC, FG is the midsegment, so FG is parallel to BC and half the length of BC.
In trapezoid CDEF, KM is the midsegment, so KM is parallel to EF and half the length of EF.
EF is parallel to KM and also parallel to DC.
Now, let's find the measures:
(a) BC:
Since FG is the midsegment of triangle ABC, FG is parallel to BC, and FG is half the length of BC. Therefore, BC = 2 * FG.
(b) GF:
GF is the midsegment of triangle ABC, so it's half the length of BC. Thus, GF = BC / 2.
(c) CD:
Since EF is parallel to DC and KM is the midsegment of trapezoid CDEF, CD is also half the length of EF. Therefore, CD = EF / 2.
(d) KM:
KM is the midsegment of trapezoid CDEF, so it's half the length of EF. Thus, KM = EF / 2.
Now, let's find the specific values using the information given:
Given values:
BC = 20 mm (from the diagram).
EF = 20 mm (since BC is parallel to EF in the same trapezoid).
(a) BC:
BC = 2 * FG
BC = 2 * GF (since GF is half the length of BC)
BC = 2 * (BC / 2) (substituting the given value for BC)
BC = BC
(b) GF:
GF = BC / 2
GF = 20 mm / 2
GF = 10 mm
(c) CD:
CD = EF / 2
CD = 20 mm / 2
CD = 10 mm
(d) KM:
KM = EF / 2
KM = 20 mm / 2
KM = 10 mm
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How many ways can u write 5 to the power of 8 as a quotient of two exponential terms?
Answers
The answer is "4 ways".
Reason:
You can write it these ways:
= 5^12 / 5^4
= 5^9 / 5
= 5^10 / 5^2
= 5^15 / 5^ 7
Therefore you can write it 4 different ways....
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
A basketball coach is purchasing 12 shirts for her team, each with a different number. At the checkout counter, the clerk places 5 of the shirts in the first bag. How many different ways can a group of 5 shirts be placed in that first bag? A. 19,008
B. 60
C. 792
D. 95,040
Answers
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Total number of shirts purchased for her team = 12
Number of shirts places in the first bag = 5
We need to find the number of ways a group of 5 shirts be placed in that first bag.
We will use "Combination" to find the number of different ways :
As we know the formula for Combination.
[tex]^nC_r=\frac{n!}{r!\times (n-r)!}\\\\here, n=12\\\\r=5\\\\So,\ it\ becomes,\\\\^{12}C_5=\frac{12!}{5!\times 7!}\\\\=\frac{12\times 11\times 10\times 9\times 8}{5\times 4\times 3\times 2}\\\\=792[/tex]
Hence, there are 792 ways to do so.
Therefore, Option 'C' is correct.
The front row in a movie theater has 23 seats. If you were asked to sit in the seat the occupied the median position, in which seat would you have to sit?
Answers
The sec 205° is ____
●A negative value
●A positive value
●0
Answers
The value of sec 205° is a negative value.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The value of sec 205°.
In the coordinate system, ∠205° lies in the 3rd quadrant.
In third quadrant, only tanθ and cotθ are positive.
So, sec 205° is negative in third quadrant.
Hence we can conclude that the value of sec 205° is negative value.
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Help!! So confused!
Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 + 24 + ...
a. Use summation notation to write the series. Explain what the numbers in the summation notation represent in this situation and how you found the expression used in the summation.
b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.
Answers
The notation of A.P is a, a+d, a+2d.....
The summation notation is â‘
In this series a=3, d=7
Then the summation of A.P is â‘ = n/2(2a+(n-1)d)
=18/2(2*3+ (18-1)7)
= 9(6+17(7))
=9(6+119)
=9(125)
= 1125
Hence the total number of beads is 1125
How many roations does a wheel make if diameter is 5 feet after 600 feet?
Answers
C=2 pi r=d*3.14=5*3.14=15.70 ft
rotations= 600/15.70=38.22
Find the AGI and taxable income:
Gross Income $30,856
Adjustments $750
1 Exemption $8200
Deduction $2,300
$31,200 and $20,601
$30106 and $19,606
$29,586 and $18,505
$28,863 and $17,636
1 points
QUESTION 5
Find the AGI and taxable income.
Gross Income $67,890
Adjustments $0
3 Exemptions $24,600
Deduction $1469
$69,440 and $45,300
$68,990 and $42,831
$67,890 and $41,821
$65,551 and $44,821
1 points
QUESTION 6
Find the AGI and taxable income.
Gross income $19,723
Adjustments $255
1 Exemption $8200
Deduction $1430
$19,4
Answers
1. Find the AGI and taxable income: Gross Income $30,856 Adjustments $750 1 Exemption $8200 Deduction $2,300
AGI: $31,200 and $20,601 $30106 --- ANSWER: 30,106 (30,856-750)
Taxable Income: $19,606 $29,586 and $18,505 $28,863 and $17,636 1 points--- ANSWER 19,606
2. QUESTION 5 Find the AGI and taxable income. Gross Income $67,890
Adjustments $0 3 Exemptions $24,600 Deduction $1469
AGI: $69,440 and $45,300 $68,990 and $42,831 $67,890 --- ANSWER:
67,890
Taxable Income: $41,821 $65,551 and $44,821 1 points --- ANSWER: 41,821 (67,890-24,600-1,469)
3. QUESTION 6 Find the AGI and taxable income. Gross income $19,723 Adjustments $255 1 Exemption $8200 Deduction $1430 $19,4
AGI: 19,468 (19,723-255)
Taxable Income: 9,838 (19,468-8,200-1,430)
Goodluck! If you need anything else feel free to reach out to me directly. Not sure if you can I'm fairly new to this.
-Mike
This explanation provides a step-by-step process for figuring out adjusted gross income (AGI) and taxable income, based on given values for gross income, adjustments, exemptions, and deductions in three examples.
Explanation:In context of tax calculations, your adjusted gross income (AGI) is calculated by taking your gross income and subtracting any adjustments. Taxable income is calculated by subtracting exemptions and deductions from your AGI.
Example 1:Gross Income: $30,856 minus Adjustments: $750 equals AGI: $30,106. Then, AGI: $30,106 minus Exemptions: $8,200 minus Deductions: $2,300 equals Taxable Income: $19,606.Example 2:Gross Income: $67,890 has no Adjustments. Hence, its AGI is $67,890. Then, AGI: $67,890 minus Exemptions: $24,600 minus Deductions: $1,469 equals Taxable Income: $41,821.Example 3:Gross Income: $19,723 minus Adjustments: $255 equals AGI: $19,468. Then, AGI: $19,468 minus Exemptions: $8,200 minus Deductions: $1,430 equals Taxable Income: $9,838. Learn more about Tax Calculation here:https://brainly.com/question/34140086
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how many liters will a quart (dry measure) hold?
Answers
Answer:
0.94635 Liters in a Quart
Step-by-step explanation:
Find the volume of the composite space figure to the nearest whole number.
Answers
The volume of the composite solid is approximately 438 mm³.
Given is a composite solid, composed of a half cylinder [cut vertically] as a roof and a rectangular prism of dimension 5 mm, 11 mm, 6 mm, as base.
We need to find the volume of the solid.
So, to find the volume of the whole solid we will just add the volume of the half cylinder and the rectangular prism.
Volume of a rectangular prism = length × width × height
Here, Length = 11 mm, Height = 6 mm and Width = 5 mm.
Volume of cylinder = π × radius² × height
Since here the cylinder is half so the volume = [π × radius² × height] ÷ 2
The diameter of the cylinder is the width of the prism, height is length of the prism,
Now, let calculate the volume,
Volume = [5 × 11 × 6] + [(3.14 × 2.5² × 11) ÷ 2]
Volume = 330 + 108
Volume = 438 mm³
Hence the volume of the composite solid is approximately 438 mm³.
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PLEASE HELP!! I do not understand this. And can you explain it for me when I use it again?
1. A rectangular prism is defined as the drawing shows. Note B at (0, 5, 0) and F (0, 0, 4). The prism is reflected over the xz-plane. The reflected image is then translated 2 units back, 3 units left, and 1 unit up.
a.) Show the results of your calculations for points A, B, C and D from the reflection.
b.) Show the results of your calculations for points A, B, C and D from the translation.
Here is the image- https://us-static.z-dn.net/files/d78/3d779b3d254fe859e35a544af4257d2f.png
Answers
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
For which intervals is the function positive?
Answers
its postive when the lines are above the X axis
Quadrilateral RSTU has vertices R (-3, 1) , S (-2, 3) , T (2, 3) , and U (3, 1). If you translate the quadrilateral four units down, what are the vertices of R'S'T'U'?
R' (-3, -3) , S' (-2, -1) , T '(2, -1) , and U' (3, -3)
R' (1, 1) , S' (2, 3) , T '(6, 3) , and U '(7, 1)
R' (-7, 1) , S' (-6, 3) , T '(-2, 3) , and U '(-1, 1)
R (-3, 3) , S (-2, 1) , T (2, 1) , and U (3, 3)
@Squirrels @tkhunny,
Answers
First option
Explanation:
Translating a point four units downwards means that:
the x-coordinate would stay the same
the y coordinate will be decreased by 4
Now, for the given points:
Point R (-3,1)
x coordinate o R' = x coordinate of R = -3
y cordinate of R' = y coordinate of R - 4 = 1 - 4 = -3
R' is (-3 , -3)
Point S (-2,3)
x coordinate of S' = x coordinate of S = -2
y coordinate of S' = y coordinate of S - 4 = 3 - 4 = -1
S' is (-2 , -1)
Point T (2,3)
x coordinate of T' = x coordinate of T = 2
y coordinate of T' = y coordinate of T - 4 = 3 - 4 = -1
T' is (2 , -1)
Point U (3,1)
x coordinate of U' = x coordinate of U = 3
y coordinate of U' = y coordinate of U - 4 = 1 - 4 = -3
U' is (3 , -3)
Comparing the calculated values with the given ones, we will find that the correct choice is the first one.
Hope this helps :)
Answer:
The correct option is 1.
Step-by-step explanation:
The vertices of quadrilateral RSTU are R (-3, 1) , S (-2, 3) , T (2, 3) , and U (3, 1).
It is given that quadrilateral RSTU translate four units down to get R'S'T'U'.
The relation between the vertices of RSTU and R'S'T'U' is
[tex](x,y)\rightarrow (x,y-4)[/tex]
The vertices of R'S'T'U' are
[tex]R(-3,1)\rightarrow R'(-3,1-4)=R'(-3,-3)[/tex]
[tex]S(-2,3)\rightarrow S'(-2,3-4)=S'(-2,-1)[/tex]
[tex]T(2,3)\rightarrow T'(2,3-4)=T'(2,-1)[/tex]
[tex]U(3,1)\rightarrow U'(3,1-4)=R'(3,-3)[/tex]
The vertices of R'S'T'U' are R' (-3, -3) , S' (-2, -1) , T '(2, -1) , and U' (3, -3).
Therefore the correct option is 1.
Can you help me for question 8??? I really confused
Answers
The domain will be x ≥ 1.
The range will be y ≥ -4.
The left end is (x, y) = (1, -4).
The right end is (∞, ∞).
DE has endpoints D 0, 3 and E 0, 12 find the length of DE to the nearest tenth
Answers
Answer: The length of side DE is 9 units.
Step-by-step explanation: Given that the co-ordinates of the end-points of DE are D(0, 3) and E(0, 12).
We are to find the length RT of the polygon.
We know that
the length of a line segment with endpoints P(a, b) and Q(c, d) is equal to the distance between the points P and Q.
By distance formula, the distance between P(a, b) and Q(c, d) is
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
So, the distance between D(0, 3) and E(0, 12) is given by
[tex]DE=\sqrt{(0-0)^2+(12-3)^2}=\sqrt{9^2}=9.[/tex]
Thus, the required length of DE is 9 units.
please help!! Assume the given triangular prism and rectangular prism have equal cross sections. Also assume the length and width of the rectangular prism's cross section are equal. If the volume of the triangular prism is V = 50h, then what is the length of the rectangular prism?
Answers
of v=100
Answer:
5 square root 2
Step-by-step explanation:
A rectangle has a length of 7.2 cm and a height of 5 cm. what is the area and perimeter of the rectangle
Answers
Perimeter: 24.4 cm
How is this high school math?
What is the value of x in the proportion StartFraction 2 x plus 7 over 3 x minus 4 EndFraction equals 11 over 2?
A. 2
B. 58
C. eleven-twenty-ninths
D. two-fifths
Answers
(2x + 7) / (3x-4) = (11/2)
We clear the value of x:
2 * (2x + 7) = (11) * (3x-4)
4x + 14 = 33x-44
4x + 14 = 33x-44
33x-4x = 14 + 44
29x = 58
x = 58/29
x = 2
Answer:
the value of x in the ratio StartFraction 2 x plus 7 over 3 x minus 4 EndFraction equals 11 over 2 is:
A. 2
Create a function with roots x = 3 and x = 2 and x = -3
Answers
(x-3) * (x-2) * (x+3)
x^2 -5x +6 * (x+3)
x^3 -5x^2 +6x + 3x^2 -15x +18 = 0
x^3 -2x^2 -9x +18 = 0
Use the rules of significant figures to answer the following question: 43.5694•22.07
Answers
To solve this problem we are going to use the multiplication of significant figures rule, which says that the least number of significant figures in the numbers you are multiplying determines the number of significant figures in the answer.
But, to apply this rule, we first need to understand how to count significant figures in a number. To do this we are going to use tow additional rules for significant figures: the non-zero rule, and the zero in between rule. The first says that non-zero digits are always significant figures, and the second one that any zeros between two significant digits are significant figures.
So, lets apply this to our numbers:
[tex]43.5694[/tex] does not has any zeros, so using the non-zero rule we can conclude that it has 6 significant figures.
[tex]22.07[/tex] has one in between zero, so using the non-zero rule and the zero in between we can conclude that is has 4 significant figures.
Since the answer is determined by the number with least significant figures, our answer will have 4 significant figures.
[tex](43.5694)(22.07)=961.6[/tex]
Answer:
961.6
Step-by-step explanation:
43.5694 22.07 = 961.6
The area of this circle is 42π m².
What is the area of a 60º sector of this circle?
6π m²
7π m²
14π m²
21π m²
Answers
1/6th of 42π m² is 7π m², so answer B.
Using proportions, it is found that the area of a 60º sector of this circle is of [tex]7\pi[/tex] m².
Proportions:This question is solved by proportions, using a rule of three.An entire circle is of 360º, which has an area of [tex]42 \pi[/tex] m²? Which is the area equivalent to a sector of 60º?The rule of three is:
360º - [tex]42 \pi[/tex] m²
60º - x m²
Applying cross multiplication:
[tex]360x = 60 \times 42\pi[/tex]
[tex]x = \frac{60 \times 42\pi}{360}[/tex]
[tex]x = 7\pi[/tex]
The area of a 60º sector of this circle is of [tex]7\pi[/tex] m².
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1. Find all the real square roots of 0.0064. (1 point)
0.25298 and –0.25298
0.0253 and –0.0253
0.08 and –0.08
0.0032 and –0.0032
2. Find the real-number root.
(1 point)
–0.605
1.1
–1.1
no real number root
Answers
In order to find the square root of 0.0064, you need to think the number without the comma, in your case then 64. The square root of 64 is 8 (indeed 8x8=64).
You know need to decide how many decimals your root needs to have: since the given number had 4 decimals, you have to halve, therefore your root will have 2 decimal: 0.08
The square roots you are looking for are +0.08 and -0.08
2) To find the real-number root means to find the number that gives you real roots if square rooted. Since negative numbers give you imaginary numbers if square rooted, your answer has to be 1.1, the only positive number.
I need to know how to do this, plz explain-Which function grows at the fastest rate for increasing values of x?
h(x)=2x
f(x)=4x2+9x
g(x)=18x
Answers
.. h(x) = 2^x
it will be the one that grows the fastest. The exponential function with the largest base value will grow faster than any polynomial.
Answer: f(x)=4x2+9x
Step-by-step explanation:
1.) A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone? A.) 2cm B.) 3cm C.) 4cm D.) 5cm
2.) A cylinder with a radius of 1cm and a height of 21cm has the same volume as a cone with a height of 7cm. What is the radius of the cone? A.) 3cm B.) 5cm C.) 7cm D.) 9cm
Answers
we know that
[volume sphere]=(4/3)*pi*r³------> (4/3)*pi*3³--------> 113.04 cm³
[volume cone]=113.04=pi*r²*h/3------> h=[V*3]/[pi*r²]
r=6 cm
h=[V*3]/[pi*r²]---------> [113.04*3]/[pi*6²]---------> 3
h=3 cm
the answer part A) is h=3 cm
Part B)
[volume cylinder]=pi*r² *h---------> pi*1²*21------> 65.94 cm³
[volume cone]=65.94 cm³=pi*r²*h/3
h=7 cm
r=√[(V*3)/(pi*h)]---------> √[(65.94*3)/(pi*7)]---------> 3 cm
the answer Part B) is r=3 cm
BRAINLIESTTTTT ASAP!!!
Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.
(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4
Answers
(x^2 - 2x + ) - 3 - = 0
(x^2 - 2x + 1) - 3 - 1 = 0
(x - 1)^2 - 4 = 0
(x - 1)^2 = 4
In ΔPQR, find the measure of ∡ P. (4 points)
Triangle PQR where angle Q is a right angle. PQ measures 33 point 8. PR measures 57 point 6. Measure of angle P is unknown
Answers
In a right triangle, use the Pythagorean theorem and the cosine function to find the measure of angle P.
Explanation:In triangle PQR, where angle Q is a right angle, we can use the Pythagorean theorem to find the measure of angle P. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, PR is the hypotenuse and PQ and QR are the other two sides.
Using the given measurements, PQ = 33.8 and PR = 57.6. To find the measure of angle P, we can use the cosine function. Cosine is the ratio of the adjacent side to the hypotenuse, so we have cos P = PQ / PR.
Plugging in the given values, we have cos P = 33.8 / 57.6. Using a calculator, we find that cos P ≈ 0.586. To find the measure of angle P, we can take the inverse cosine of this value, which is approximately 54.3 degrees.