Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Answers
The value of p and q in the right triangle are as follows:
p ≈ 30.6 units
q ≈ 14.9 units
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Let's find p and q using the trigonometric ratios.
Hence,
sin 64 = opposite / hypotenuse
opposite side = p
hypotenuse = 34
Therefore,
sin 64 = p / 34
cross multiply
p = 34 sin 64
p = 30.5589975742
p ≈ 30.6 units
Hence,
cos 64 = adjacent / hypotenuse
cos 64 = q / 34
cross multiply
q = 34 cos 64
q = 14.9046189908
q = 14.9 units
Therefore,
p ≈ 30.6 units
q ≈ 14.9 units
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Related Questions
Find the roots for y = (2x-3)(x+5) (The x values)
Answers
Answer:
x = [tex]\frac{3}{2} , -5[/tex]
Step-by-step explanation:
We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.
The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.
1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:
[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]
Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.
2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:
[tex]x+5 = 0\\x = -5[/tex]
Therefore, -5 is a root as well.
The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.
What is the slope of the line x = 4?
Answers
Answer:
its undefined
Step-by-step explanation:
Raul empuja su auto de 950 KG sobre una pista rugosa e inclinada 15,0 con una fuerza paralela a la pista, cuya magnitud es de 200 N. Determina el trabajo mecanico hecho por el peso sobre el auto para un desplazamiento de 5,00m (gravedad=10m/5)
Answers
Answer:
966 joules
Step-by-step explanation:
Step one:
given data
mass of car= 950kg
angle of incline= 15°
Applied force= 200N
displacement = 5m
If we apply a force on an object through a distance work is done, hence Mechanical work is the product of a force applied on an object and its displacement while that force is applied
Step two:
Work done= Force * distance
Since the car is moved on an inclined plane, the expression for the work done is
Work-done= Frcos∅
where r is the distance moved
Work-done= 200*5cos 15
Work-done= 200*4.83
Work-done= 966 joules
x3−2=10 help plz i need help
Answers
This is because
(4)3-2=10
12-2=10
10=10
This makes the statement true!
Hope this helps have a good day!
One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B.24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses
Answers
Answer:C
Step-by-step explanation:
On a certain hot summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that day?
Answers
Answer: 219 children and 72 adults swam at the public pool that day.
Step-by-step explanation:
Let x = Number of children , y= Number of adults.
As per given, x+y = 291 (i)
1.5x+2y = 472.50 (ii)
Multiply 2 on both sides of (i) , we get
2x+2y = 582 (iii)
Eliminate (ii) from (iii), we get
0.5x = 109.5
[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]
Put value of x= 219 in (i)
219+y= 291
⇒ y = 291-219 = 72
Hence, 219 children and 72 adults swam at the public pool that day.
El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto pago por la televisión?
Answers
Answer:
$111,088
Step-by-step explanation:
Paso 1
Encuentra el descuento
Costo de la televisión de plasma = $ 138,860.00
Porcentaje de descuento = 20%
Descuento = 20% × $ 138,860
Descuento = $ 27,772
Paso 2
¿Cuánto pago por la televisión?
Esto se calcula como:
$ 138,860 - $ 27,772
= $ 111,088
Por lo tanto, la cantidad que paga por la televisión es de $ 111,088
Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the probability that Derek selected a striped sock both times
Answers
Answer: 1/15
Step-by-step explanation:
The number of striped socks is 2 while the number of total socks are 6. If he chooses a striped socks at first, that will be 2/6.
If he chooses it the second time, the probability will be 1/5 since there'll be 5 socks left and 1 striped.
The probability that Derek selected a striped sock both times will be:
= 2/6 × 1/5.
= 2/30
= 1/15
A triangle has angles that measure 40° and 80°. What is the measure of the third angle of the triangle?
Enter the correct answer in the box. (Be sure to attach the degree symbol to your answer.)
Answers
Answer:
60°
Step-by-step explanation:
The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,
40 + 80 = 120
180 - 120 = 60
The third angle of the triangle is 60°
What is a triangle?A polygon with three angles, side, and vertices is called a triangle.
Given that, a triangle has angles that measure 40° and 80°.
We know that the sum of the interior angles of a triangle is 180°
Let the third angle be x,
40° + 80° + x = 180°
x = 180°-120°
x = 60°
Hence, the third angle of the triangle is 60°
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Can someone explain how I should solve this?
Answers
Find the values of x and y.
Answers
Answer:
x=30° y=5
Step-by-step explanation:
All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.
so
8y=40
y=40/8
y=5
Since it's an equilateral triangle. All angles are equal And each angle has dimensions
=180°/3=60°
The angle of the straight line = 180°
so The obtuse angle of the lower isosceles triangle is 180°-60°=120°
The angles at the base of the isosceles triangle are equal
so 2x° = 180°-120°
2x°=60°
x°=60°/2
x°=30°
Pls help ple help pls help
Answers
because if argentina has 15 more than south africa then you need to subtract 24-15=p which is pretty much the same things as p-24=15
and if you need to know how many provinces south africa has then 9 provinces should be your answer
A. According to the graph, are John and Collin saving or spending money?
a.Saving
b.Spending
c.Idunno
B. How much money did each person start with?
a.John 60, Collin 80
b.John 80, Collin 60
c.John 4, Collin 6
d.Collin 6, John 4
C. How many days does it take John to spend all his money?
D. How many days does it take Collin to spend all his money?
E. Find the solution to the above system (answer is on ordered pair):
F. At what day does John and Collin have the same amount of money? Day
G. On the day they they have the same amount of money, how much do they each have? _____ dollars
Answers
B John 60 ,Collin 80
C 6
D 4
E John (6,60) Collin (4,80)
F Day 2
G $40
Which has a greater slope (Rate of change)?
the graph
the table
Answers
Answer:
The graph
Step-by-step explanation:
The graph has a slope of 2 while the table has a slope of 1.
2-1/6/5=1/1=1
2>1
Domingo is replacing the baseboards in his home and calculates that he will need 637.5 feet of wood. When he travels to the hardware store, he discovers that baseboards are sold in 7.5-foot lengths. How many boards will Domingo need to purchase?
Answers
Answer:
Number of boards= 85
Step-by-step explanation:
Giving the following information:
Total wood required= 637.5 feet of wood
The baseboards are sold in 7.5-foot lengths.
To calculate the number of boards, we need to use the following formula:
Number of boards= total wood required / foot per board
Number of boards= 637.5 / 7.5
Number of boards= 85
In the diagram below, line RCBT and △ABC are shown with m∠A = 60 and m∠ABT = 125. What is the m∠ACR?
1.125°
2.115°
3.65°
4.55°
Answers
Answer:
3.) 65
Step-by-step explanation:
180-125=55
55+60= 115
a triangle equals 180
180-115=65
The sum of all the angles in a triangle is 180 degrees.
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
What is the sum of angles in a triangle?The sum of all the angles in a triangle is 180 degrees.
We have,
Line RCBT and ΔABC.
From the diagram, we see that,
In ΔABC,
m∠A + m∠B + m∠C = 180 ___(1)
m∠CBT = 180
m∠CBA + m∠ABT = 180
m∠CBA + 125 = 180
m∠CBA = 180 - 125
m∠CBA = m∠B = 55 ____(2)
m∠BCR = 180
m∠BCA + m∠ACR = 180 ____(3)
From (1) and (2) we get,
m∠A + m∠B + m∠C = 180
60 + 155 + m∠C = 180
m∠C = 180 - 60 - 55
m∠C = 65 ____(4)
From (4) we get,
m∠ACR = 65
Thus,
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
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Find Missing side lengths
Answers
Answer:
On the side length of the triangle
Step-by-step explanation:
On the side length of the triangle
The area of a circle is 9π
if and only if, its radius is 3.
true or false
Answers
Which pairs of figures are congruent? Which pairs are similar?
Answers
Answer:
put a picture with the question and I can help you
Answer:
Where’s the pic
Step-by-step explanation:
Your factory installed tires have a comfort that 95 inches if the odometer reading reading is 32,000 miles on your car you have tires with a conference have 103 inches how many miles have you actually traveled
Answers
Answer:
The correct solution is "35440.8".
Step-by-step explanation:
The given values are:
Bigger tire's circumference,
= 103 inches
Factor installed tire's circumference,
= 95 inches
Odometer reading,
= 32,000 miles
As we know,
⇒ [tex]Actual \ distance = K\times odometer \ reading[/tex]
Where,
⇒ [tex]K = \frac{Bigger \ tier \ circumference}{Factor \ installed \ tier \ circumference}[/tex]
i.e.,
⇒ [tex]K=\frac{103}{95}[/tex]
On applying the formula,
⇒ [tex]Actual \ distance \ travelled=\frac{103}{93}\times 32,000[/tex]
⇒ [tex]=35440.8[/tex]
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?
Answers
96/240 = 0.4 = 40%
What is the solution for the system of equations shown in the graph?WILL GIVE BRAINLY IF ANSWER
Answers
Answer:
(2,4)
Step-by-step explanation:
thats the point where both lines meet
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.
Answers
Complete question : Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.
Answer:
2.2 mph ; 4.4 mph
Step-by-step explanation:
Given that :
Total distance apart = 33
Time taken = 5 hours
Rate of slow hiker = x
Rate of fast hiker = x + 2.2
Speed (rate) = distance / time
Distance = speed * time
Distance covered by fast hiker + distance covers by slow hiker
(x + 2.2)*5 + 5x = 33
5x + 11 + 5x = 33
10x = 33 - 11
10x = 22
x = 22 / 10
x = 2.2
Rate of slow hiker = 2.2 mph
Rate of fat hike = x + 2.2 = 2.2 + 2.2 = 4.4 moj
Write the correct answer. Euros are currency used in several European countries. On one day in October 2005, you could exchange $3 for about 2.5 euros. How many dollars would you have needed to get 6 Euros?
Answers
Answer: 7.2 $ will be needed to get 6 Euros.
Step-by-step explanation:
Given : 3$ could be exchanged for 2.5 euros
That means :
To get 2.5 euros , dollars needed are = 3$
By using Unitary method:
To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $
To get 6 euros , dollars needed are = [tex]\frac{3}{2.5}\times 6=7.2[/tex] $
Thus 7.2 $ will be needed to get 6 Euros.
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answers
answer
8/25
Step-by-step explanation:
so you would keep the first fraction (2/15) then you would change the symbol then you would flip the other fraction (5/12). then you would multiply 2*12=24 and 15*5=75. then you would simplifie it. it would be 8/25.
Which of the following will not translate as a mathematical
question three times a number equals fifteen.
two less than a number is equal to twelve.
Six Plus the number is seven.
A number divided by eight, Plus four.
PLEASE HELP ME FAST
Answers
Answer:
a number divided by eight, plus four
The daily supply of oxygen for a particular multicellular organism is provided by 625 square feet of lawn. A total of 8750 square feet of lawn would provide the daily supplies of oxygen for how many organisms
Answers
Answer:
multicellular organisms = 14
Step-by-step explanation:
given data
multicellular organism = 625 sq feet
total = 8750 sq feet
solution
we will gethere
as we know that 1 multicellular organism = 625 sq feet
so
we get here multicellular organisms that is
multicellular organisms = ( 8750 ×1 ) ÷ 625
multicellular organisms = 14
Round answers to three decimal places. Area of 1st rectangle =0.022 Area of 2nd rectangle = Area of 3rd rectangle = Area of 4th rectangle = Area of 5th rectangle = Area of 6th rectangle = Total area =
Answers
Answer:
Total area ≈ 0.082
Step-by-step explanation:
Round answers to three decimal places.
Area of 1st rectangle = 0.032
Area of 2nd rectangle =25 x 0.000863
= 0.022
Area of 3rd rectangle = 0.014
Area of 4th rectangle = 0.008
Area of 5th rectangle = 0.004
Area of 6th rectangle = 0.002
Total area = 0.082
Rounding up to 3 decimal places: this means 3 numbers after the decimal point
Area of 1st rectangle ≈ 0.032
Area of 2nd rectangle ≈ 0.022
Area of 3rd rectangle ≈ 0.014
Area of 4th rectangle ≈ 0.008
Area of 5th rectangle ≈ 0.004
Area of 6th rectangle ≈ 0.002
Total area = 0.032 + 0.022 + 0.014 + 0.008 + 0.004 + 0.002
= 0.082
Total area ≈ 0.082
Answer:
Round answers to three decimal places.
Area of 1st rectangle =0.022
Area of 2nd rectangle =
⇒ 0.014
Area of 3rd rectangle =
⇒ 0.008
Area of 4th rectangle =
⇒ 0.004
Area of 5th rectangle =
⇒ 0.002
Area of 6th rectangle =
⇒ 0.001
Total area =
⇒ 0.051
Step-by-step explanation:
edg 2021
what's the value of x 16x+9
Answers
Answer:
x2+16x=9 x 2 + 16 x = 9. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b . (b2)2=(8)2 ( b 2 ) 2 . x^2+16x+9=0
Step-by-step explanation:
if this is not
452.88 is 74% of what number? (Please show work)
Answers
Answer:
612
Step-by-step explanation:
To find this answer, you can invert the equation:
452.88 = 0.74x
x = 452.88 / 0.74
x = 612
The number 452.88 is 74% percentage of the number 612.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find the number of 452.88 is 74%
Let x be the number
74/100×x=452.88
74x/100 = 452.88
Multiply both sides by 100
74x=45288
Divide both sides by 74
x=45288/74
x=612
Hence, 452.88 is 74% of the number 612.
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