Answer:
[tex]\angle PRQ = 50^\circ[/tex]
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
We are given the following details:
[tex]\angle RPQ =99^\circ[/tex]
[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]
To find:
[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]
We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]
i.e.
[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]
To find the sides, we can use Sine rule:
As per Sine rule:
[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]
Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.
Using Sine rule in given triangle:
[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]
So, sides are
PR = 5.74 units and
PQ = 8.53 units
Answer:
Answer:
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
We are given the following details:
To find:
We know that the sum of all the angles of a triangle is equal to
i.e.
To find the sides, we can use Sine rule:
As per Sine rule:
Where a, b and c are the sides opposite to respectively.
Using Sine rule in given triangle:
So, sides are
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
What is the domain of f(x) = 2|x − 1| + 3? A. {x | x ≥ 3} B. {x | x < 1} C. {x | x ≤ -1} D. {x | x = all real numbers}
Answer:
all real numbers
Step-by-step explanation:
f(x) = 2|x − 1| + 3
The domain is what values can we put in for x
There is no limit to what we can put in for x
therefore the domain is all real numbers
(08.01 LC)
Find the circumference and area of a circle with a diameter of 10 inches. Leave your
answers in terms of pi.
O C = 51: A = 20
O C = 10; A = 20
O C = 10; A = 25T
O C = 5T; A = 2511
Answer:
Area = πr^2
= π * 5^2
= 25π
Circumference = 2πr
= 2 * π * 5
= 10π
Answer:
C= 10, A= 25
Step-by-step explanation:
d= 10 in
r= d/2= 5 in
C= 2πr= 2π*5= 10 π in
A= πr²= π*5²= 25 π in²
plz help me w this!!! lowkey forgot how to do it lol. marking brainiest aswell!!!
Answer:
B
Step-by-step explanation:
A = 1/2π * r²
A/(1/2π) = r² (Divide by 1/2π)
r = √(2A/π) (Take the square root of both sides then simplify)
Answer:
B. r=[tex]\sqrt{\frac{2A}\pi}}[/tex]
Step-by-step explanation:
First multiply both sides by 2. This gives us 2A=[tex]\pi[/tex]r². Now, divide both sides by [tex]\pi[/tex]. Now we have [tex]\frac{2A}{\pi}[/tex]=r². Now, square root both sides. The final answer is r=[tex]\sqrt{\frac{2A}{\pi}}[/tex]
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To figure out if something is increasing or decreasing, you must read the graph from left to right. If it appears to be going down, then it is decreasing. When it appears to be to be going up, it is increasing. For both A & B, the graph is decreasing. When you look from when the x-values are between 2.5 and 3.5, you can see the line going down. That means it is decreasing.
I hope this helps!
help Write an equation for a line perpendicular to y=-4x+4 and passing through the point (-12,-8)
Answer: [tex]y=\frac{1}{4} x-5[/tex]
Step-by-step explanation:
Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:
[tex]y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5[/tex]
Notice how I plugged in the points given.
I need help with this please!!
Answer:
The answer is Point A is equal to (8,0) and Point B is (26,-20) and point C would be (16,-16) and point D would be (8,-30)
Step-by-step explanation:
Solve for x in the diagram below.
8x
50°
X =
Answer:
x=5
Step-by-step explanation:
The 2 angles are inside of a right angle (the little square in the corner denotes a right angle). This means they are complementary angles, and add to 90 degrees.
8x+50=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
50 is being added to 8x. The opposite of addition is subtraction. Subtract 50 from both sides.
8x+50-50=90-50
8x=90-50
8x=40
x is being multiplied by 8. The opposite of multiplication is division. Divide both sides by 8.
8x/8=40/8
x=5
x is equal to 5.
Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet is given by the polynomial -16t^2+50t+3, where t is the time in seconds. How high is the ball after 3 seconds?
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
[tex]h(t) = -16t^2+50t+3[/tex]
where t is the time in seconds.
After 3 seconds, t = 3:
[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]
The height of the ball after 3 seconds is 9 feet.
What is the approximate value of tan C?
B
13.93
5
13
Answer:
B you need to plug it in the calculator
The approximate value of tan C is 0.38 (Option D).
To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:
Hypotenuse (c) = 13.93
Base (b) = 13
Height (a) = 5
The tangent of angle C is defined as the ratio of the height (a) to the base (b):
tan C = a / b
tan C = 5 / 13
Now, let's calculate the approximate value of tan C:
tan C ≈ 0.3846
Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.
Therefore, the approximate value of tan C is 0.38.
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Complete Question:
What is the approximate value of tan C?
Answer ASAP, please!!!!!! Will mark brainliest!!!!! 25 points!!!!!
Explain how the Distributive Property can be used to expand the expression on the left side of the equation.
3(x + 4) = 36.
A. Add 3 to each term inside the parentheses.
B. Subtract 3 from each term inside the parentheses.
C. Multiply each term inside the parentheses by 3.
D. Divide both terms inside the parentheses by 3.
Answer:
C
Step-by-step explanation:
The 3 is directly outside the parentheses, meaning you need to distribute the 3 to the x and the 4 because they are inside the parentheses. There is no addition, subtraction, or division involved in this so C is correct.
Answer:
C
Step-by-step explanation:
i took the test
The Jacobson family drove 240 miles miles in 6 hours. If you graph their trip with hours on the X axis and miles on the Y axis, what will be the slope of the line?.
Answer:
40 mph
Step-by-step explanation:
Recall that the slope of this line is also the speed at which the car was driven, and that, in turn, is:
240 miles
------------------- = 40 mph
6 hrs
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. i neeed help plz
Answer:
Multiply 8 and 3
Step-by-step explanation:
6+ (-5-7/2) -8(3)
Using the order of operations
BODMAS
•BRACKET
•OFF
•DIVISION
•MULTIPLICATION
•ADDITION
•SUBTRACTION
The first step is to deal with the bracket
Which is
6+(-5-7/2)-24
Next is solve the next parenthesis
6+(-12/2)-24
Next
6+(-6)-24
Next
6-6-24
= -24
Answer:
A is correct answer
Step-by-step explanation:
Evaluate cos2θ for cosθ = .
Double angle identity:
[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]
If you know [tex]\cos\theta[/tex], just plug it in.
2y/5y cube + 4y square + 6y
Answer:
here down is the answer
(2y/5y)^3+4y^2+6y
8y^3/125y^3 +16y^2+6y
8/125+16y^2+6y
8/125+16y^2+6y=0
16y^2+6y+8/125=0
it is in the form of quadratic equation
formula :
x=(-b+-square root of b^2-4ac) /2a
here a=16,b=6&c=8/125
x=(-b+-square root of b^2-4ac)/2a
x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation
x=(-6+-31.91)/2
so
x=(-6+31.91)/2 first (+);
x=25.91/2
x=12.955;
x=(-6-31.91)/2 then(-);
x=-37.91/2
x=-18.955 ;
ans is = 12.955&-18.955;
Geometry
Find a:
Fill in the blank
Answer:
a=15
Step-by-step explanation:
[tex]a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15[/tex]
Hope it helps
Help me ASAP please.
If two lines intersect and one angle measures 25°, what are the measures of the other angles?
25
75
155
125
Answer:
155 and 25
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
Two Lines that intersect form TWO angles. The sum of the Two Angles is always 180 degrees.
180-25 = 155
Which of the following are like terms?
12x
A
-8
3x2
15x
-X
x
Answer:
12x, 15x, -x, and x are like terms.
Step-by-step explanation:
These are terms that can be combined together in equations because they are multiplied by the same term or they are integers, etc. (BTW, I'm not sure if 3x2 means 3 times 2 or 3 times x times 2, if it is 3 times x times 2, then that is also a like term!)
Answer:
12x
15x
-x
Included whole page!
☆
EDGE2022; Good Luck :3!!!
work out the area of this circle when its the diameter 9m take pie to be 3.142 and give your answer to 2 decimal places.
3.142*4.5²=63.6255
Answer=63.63
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form
A) 2x -y= -2
B) -2x -y= -22
C) -2x +y= -8
D) -2x +y=-2
Answer:d
Step-by-step explanation on ed
If Colin tosses a normal die from a board game, what is the probability that the result will be prime?
A. 2/3
B. 5/6
C. 1/2
D. 1/6
Who is the dictator of USSR
Answer:
No. Leaders Date of death
1 Vladimir Lenin January 21, 1924
2 Joseph Stalin March 5, 1953
3 Georgy Malenkov January 14, 1988
4 Nikita Khrushchev September 11, 1971
Step-by-step explanation:
Solve this equation 3x-1/5-2/9x=124/5 , simply by combining like terms, Which terms can be combined? Isolate the variable term by adding this value to both sides of the equation?
Answer:
x=9
Step-by-step explanation:
x in (-oo:+oo)
3*x-((2/9)*x)-(1/5) = 124/5 // - 124/5
3*x-((2/9)*x)-(1/5)-(124/5) = 0
3*x+(-2/9)*x-1/5-124/5 = 0
25/9*x-25 = 0 // + 25
25/9*x = 25 // : 25/9
x = 25/25/9
x = 9
Answer:
1/5
Step-by-step explanation:
i got it right
Can someone teach me how to do this
What is the value of the angle marked with x
Answer:
50
Step-by-step explanation:
opposite angles are equal so 50 is corresponding with x
Answer:
x = 50
Step-by-step explanation:
Parallelogram have opposite sides parallel and equal in length. The opposite angles are equal.
x = 50
Two particles, A and B, are initially 37.5 m apart. A is projected in a straight line directly towards B with initial speed 2 ms^–1 and accelerates uniformly at 0.6 ms^–2. At the instant when A is released, B is projected in a straight line directly towards A with an initial speed of 3 ms^–1 and it accelerates uniformly at 0.4 ms^–2. The particles collide at point C. Find the distance from A's starting point to C. (Please explain how you get the answer, I don't understand how to get to it!!!! Thanks!)
Answer: 6.66 metres
Step-by-step explanation:
Given that the two particles, A and B, are initially 37.5 m apart.
Acceleration a = velocity/time
Make time t the subject of the formula.
Time t = velocity/acceleration
Time taken by particle A will be
Time t = 2/0.6 = 3.33 seconds
Let's use 2nd equation of motion
S = Ut + 1/2at^2
Distance covered by particle A will be achieved By substitute the values for speed and acceleration into the formula
S = 2 × 3.33 + 1/2 × 0.6 × 3.33^2
S = 6.66 + 0.3 × 11.1
S = 9.99 m
Time taken by particle B will be
Time t = 3/0.4 = 7.5 seconds
Distance covered by particle B will be by using the same formula
S = 3 × 7.5 + 1/2 × 0.4 × 7.5^2
S = 22.5 + 0.2 × 56.25
S = 33.75 metres
Adding the distance covered by particle A
Distance = speed × time
Distance = 2 × 3.33 = 6.66
the distance from A's starting point to C. Is 6.66 metres
Can you please help me
Answer:
Supplementary angle = 98°
Complementary angle = 8°
Step-by-step explanation:
By definition, sum of complementary angles is equal to 90°.
Therefore, complementary angle of 82° = 90° - 82°
= 8°
Similarly, sum of supplementary angles is equal to 180°.
Therefore, supplementary angle of 82° = 180° - 82°
= 98°
The supplementary angle 98°
The complementary angle 8°.
What is the per capita GDP of the United States?
Answer:
The per capita GDP will be "$62,790".
Step-by-step explanation:
Per capita GDP seems to be a calculation including its overall production of such a nation to take that GDP as well as dividing it by the number of individuals in that region. GDP per capita is particularly evident when analyzing one country or state to the next, as it indicates the remarkable success of that same country.So that the above seems to be the right answer.
what would be the answer???
Answer:
120
Step-by-step explanation:
The sum of the angles in a quadrilateral is 360 degrees
2t+t+2t+t = 360
6t = 360
Divide by 6
6t/6 = 360/6
t = 60
Angle Z = 2t
Angle Z = 2*60 = 120
Answer:
[tex]120 \: \: degrees[/tex]
Second answer is correct.
Step-by-step explanation:
The sum of the angles in a qudrilateral = 360°
[tex]t + 2t + t + 2t = 360 \\ 6t = 360 \\ \frac{6t}{6} = \frac{360}{6} \\ t = 60[/tex]
angle z
[tex]2t = 60 \times 2 \\ \: \: \: \: \: \: \: = 120[/tex]
If 8=−3r+7r, then r= [blank] −−−−−−.
Answer:
[tex]r = 2[/tex]
Step-by-step explanation:
[tex]8 = - 3r + 7r \\ 8 = 4r \\ 4r = 8 \\ \\ r = \frac{8}{4} \\ \\ r = 2[/tex]
anyone good at maths who can help me?
brainiest will be given, THANK YOU!!!
Answer:
Step-by-step explanation:
83% of 408:
83/100 x 408 = 338.64 pounds
41% of 53 :
41/100 x 53 = 0.41 x 53 = 21.73 kg
97% of 345m:
0.97 x 345 = 334.65
please mark brainiest
83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find
a)83% of 408 pounds
Firstly we need to convert 83% to decimal by dividing with 100.
83/100=0.83
Now multiply 0.83 with 408
0.83×408=338.64
b)41% of 53 kg
Firstly we need to convert 83% to decimal by dividing with 100.
41/100=0.41
Now multiply 0.41 with 53
0.41×53=21.73
c)97% of 345m
Firstly we need to convert 97% to decimal by dividing with 100.
97/100=0.97
Now multiply 0.97 with 345
0.97×345=334.65m
Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m
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7. A shopkeeper buys 300 identical articles a tota
cost of $1500. He sells 260 articles at a price
20% above the cost price Each of the remain
anicles is sold at a price that is 50% of the si
price of each of the 260 articles Express the
shopkeeper's profit as a percentage of his cost price?
Answer this Q. so that i will mark u as tge brainliest!
Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.