Right triangle RST is shown below with the dimensions given in feet
(ft)
Which is closest to the measure of ZR?
Select one
15.1
15.7
74.3
74.9
Answers
Answer:
As the triangle is right angled ,
sinR = 17/63
Angle R = 15.7⁰
The closest value of the measure of ∠R is,
⇒ ∠R = 15.7°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Right triangle RST is shown below with the dimensions given in feet.
Now, By trigonometric formula;
tan x = Opposite / Adjacent
Here, Opposite side of angle R = 17 ft
And, Adjacent side = 63 ft
Hence, We get;
tan x = Opposite / Adjacent
tan R = 17 / 63
tan R = 1/9
R = 15.7°
Thus, The closest value of the measure of ∠R is,
⇒ ∠R = 15.7°
Learn more about the angle visit:;
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Related Questions
Como se haya la media de esta distribución normal? "Se estima que la cantidad de dinero que gastan en gasolina los clientes de una estación de servicio sigue una distribución normal con desviación estándar de quince mil pesos. También se ha encontrado que el 4% de los clientes gasta más de 70.000 pesos."
Answers
Answer:
43750 pesos
Step-by-step explanation:
The first thing is to establish the formula in this case as it is a normal distribution is as follows:
z = x - m / sd
where x is the point value, m the mean, sd the standard deviation and z is the z score, we can calculate the z score by means of this 4% and it is found in the normal distribution table.
for 4%. z = 1.75
replacing:
1.75 = (70000 - m) / 15000
m = -1.75 * 15000 + 70000
m = -26250 + 70000
m = 43750
therefore we have that the average is 43750 pesos
is 5/2 irrational or rational
Answers
Find the product.
2 1/3⋅3 1/2
Write the answer as a mixed number.
Answers
Answer:
Step-by-step explanation:
[tex]2\frac{1}{3}*3\frac{1}{2}=\frac{7}{3}*\frac{7}{2}\\\\=\frac{7*7}{3*2}\\\\=\frac{49}{6}\\\\=8\frac{1}{6}[/tex]
What are the steps of finding the Circumference of a circle
Answers
Answer:
How to find the circumference of a circle:
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as largeHope this helps! :)
The arc length
shown below is 15 feet.
State the equation that relates arc length to central angle.
Find the angle
in radians.
Convert your answer from Part II to degrees and write it to the nearest hundredth of a degree.
Answers
Answer:
s = rθ2.5 radians143.24°Step-by-step explanation:
The applicable formula is ...
s = rθ
where s is the arc length, r is the circle's radius, and θ is the central angle in radians.
Filling in the given values, we find ...
15 = 6θ
θ = 15/6 = 2.5 . . . radians
Pi (π) radians is 180°, so the angle in degrees is ...
2.5(180°/π) ≈ 143.24°
How much water will it take to fill the aquarium?
Please anawer this question. Will put as brainliest if i get an answer
Answers
Answer:
4096
Step-by-step explanation:
You multiply 32 in. by 8 in. by 8 in.
Answer:
4096
Step-by-step explanation:
to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤
Which ordered pairs show the location of the bleachers? Check all that apply. (2.0, 1 and one-half) (1.50, 2.0) (–2.0, 1.50) (1.50, –2.0) (1 and one-half, 2) (1 and one-half, negative 2) plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
2 and 5
Step-by-step explanation:
hope this helps :)
3
Find the volume of the prism. *
1.5 m
2 m
4 m
Answer choices are:
A) 8m^3
B) 12m^3
C)10m^3
6m^3
Answers
Answer:
[tex]12m^{3}[/tex]
Step-by-step explanation:
Multiply all the variables together to get the answer (only for rectangular prism).
So I basically did 4 x 2 x 1.5 = 12 Then I applied the unit of measurement and cubic meters as it is volume.The formula is length x width x height
The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of a
and c?
Answers
Hey there! I'm happy to help!
-------------------------------------------------------------------
WHAT IS THE PERIMETER?
The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.
-------------------------------------------------------------------
WHAT IS AN ISOSCELES TRIANGLE?
An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!
-------------------------------------------------------------------
THE SOLUTION
In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.
The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.
Therefore, the perimeter of this isosceles triangle is 2a+c.
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I hope that this helps! Have a wonderful day! :D
4) The area of a piece of pie in the shape of a sector is 7.1 in. The angle of the sector is 40°. Find the diameter of
the circle.
Answers
Answer:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
7.1 = 40/360 * 22/7 * r^2
7.1 = 1/9 * 22/7 * r^2
63.9 = 22r^2/7
r^2 = (7 * 63.9)/22
r^2 = 20.331818181818
r = square root of 20.331818181818
r = 4.51
d = r * 2 = 4.51 * 2 = 9.02
The diameter of circle is [tex]9.02 inch[/tex]
Area of sector :The area of sector is given as,
[tex]Area=\frac{\theta}{360} *\pi r^{2}[/tex]
Where r is radius of circle and [tex]\theta[/tex] is angle of sector.
Given that, area is 7.1 and [tex]\theta=40[/tex]
Substitute values in above relation.
[tex]7.1=\frac{40}{360}*3.14*r^{2} \\\\r^{2}=\frac{7.1*360}{40*3.14}=20.35\\ \\ r=\sqrt{20.35}=4.5[/tex]
The diameter of circle is,[tex]=2r=2*4.51=9.02inch[/tex]
Learn more about the diameter here:
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Un parallelepipedo rettangolo ha una dimensione di base di 15 cm e l'altra è i 35 della prima. L'area totale misura 750 cm2. Di L'area laterale; L'altezza del parallelepipedo; Il volume. calcola
Answers
Answer:
1. Suprafața laterală este de 480 cm²
2. Înălțimea paralelipipedului este de 4,8 cm
3. Volumul paralelepipedului este de 648 cm³
Step-by-step explanation:
Un paralelipiped dreptunghiular are dimensiunea bazei de 15 cm, iar celălalt este 35 din primul. Suprafața totală măsoară 750 cm2. Din zona laterală; Înălțimea paralelipipedului; Volumul. Calcol
Aici avem
Dimensiunile bazei sunt;
a = 15 cm
b = 3/5 × 15 = 9 cm
c = Obligatoriu
De asemenea suprafața totală = 750 cm²
∴ deoarece suprafața totală = 2 · a · b + 2 · b · c + 2 · a · c
2 × 15 × 9 + 2 × 35 × c + 2 × 15 × c = 750
270 + 70 · c + 30 · c = 750
100 · c = 480
c = 4,8 cm
Suprafața laterală reprezintă suprafața totală mai puțin zona de sus și de jos
Prin urmare;
1. Suprafața laterală = 750 - 2 × 15 × 9 = 480 cm²
2. Înălțimea paralelipipedului = c = 4,8 cm
3. Volumul paralelipipedului = aria bazei × înălțimea
∴ Volumul paralelipipedului = 15 × 9 × 4,8 = 648 cm³.
A circle has a radius of
square route of 13 units and is centered at (-9.3, 4.1).
Write the equation of this circle.
Answers
Answer:
[tex](x+9.3)^{2} +(y-4.1)^{2} = 13[/tex]
Step-by-step explanation:
Answer:
(x+9.3)^2+(y-4.1)^2=13
Step-by-step explanation:
Which expression represents the greatest common factor (GCF) of 48 and 136?A.2 x 2B.2 x 2 x 2C.2 x 2 x 2 x 3D.2 x 2 x 2 x 3 x 17
can someone pls help me
Answers
Find the greatest common factor of both 48 and 136:
GCF is 8.
The expression that equals 8 is
B. 2x2x2
Answer:
B. 2 x 2 x 2
Step-by-step explanation:
I took a quiz and got this right!!
Can you plz answer question on the screenshot?
Answers
Answer:
Step-by-step explanation:
A square has an area of 9 cm^2. What is the length of each side?
Answers
Answer:
The side length is 3 cm
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 =s
The side length is 3 cm
Answer:
3cm
Step-by-step explanation:
As we know it's a square, we can just square the area to get:
[tex]\sqrt{9}[/tex] = 3
We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:
x * x = A (unit)^2
2) The Club Auto Parts Company has just recently been organized. It is expected to experience no growth for the next 2 years as it identifies its market and acquires its inventory. However, Club will grow at an annual rate of 5% in the third and fourth years and, beginning with the fifth year, should attain a 10% growth rate which it will sustain thereafter. The last dividend paid was $0.50 per share. Club has a cost of capital of 12%. What should be the present price per share of Club common stock?
Answers
Answer:
$20.84
Step-by-step explanation:
div 1 = $0.50
div 2 = $0.50
div 3 = $0.50 x 1.05 = $0.525
div 4 = $0.525 x 1.05 = $0.55125
years 5 and beyond we need to use the growing perpetuity formula:
stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32
now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:
stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84
help me plisssssssssssssssssssssssssssssssssssss
Answers
Why is the perimeter of the parallelogram?
Answers
Answer:
the perimeter is 32 squares
Step-by-step explanation:
How many solutions does this equation have –3(4x – 16) = 12(24x + 60)
Answers
Answer:
This equation has one solution, and it's at (-2.24,0)
Step-by-step explanation:
When graphed, it results in a vertical line that crosses the x-axis at -2.24. Hope this helps =)
If 4+2=26 and 8+1=79 and 6+5=111 what is 7+3=?
*Please Show Work*
Answers
Explanation : 4 comes from what you subtract and 10 comes from what the question would be if it was added
is -8 rational or irrational
Answers
Answer:
rational
Step-by-step explanation:
All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number
Kono Dio Da!!!
Answer:
I'm pretty sure it is rational
Step-by-step explanation:
:)
In a capture-recapture study, 97 grizzly bears were tagged and released back into the wild. A month later, 200 bears were captured of which 36 were tagged. About how many grizzly bears are in the population?
Answers
Answer:
539
Step-by-step explanation:
Let the total population of grizzly bears=x
In the first capture, 97 were tagged.
Therefore, ratio of the total population to the tagged=x:97
A month later, when 200 bears were captured, 36 were tagged.
Ratio of the sample to the tagged=200:36
Since a sample is representative of the population, the ratios are the same. We therefore have:
x:97=200:36
[tex]\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539[/tex]
There are about 539 grizzly bears in the population
Round 8,031,426,100. Write the result as the product of a single digit and a power of 10.
Answers
Answer:
Step-by-step explanation:
8,031,426,100
=8,000,000,000
=8×(10)^9
Jasmine and her brother Nat are saving to buy a digital camera that costs $135. Jasmine earns $15 per week for babysitting and spends $5 of it. Nat earns $18 per week for walking dogs and spends $7 of it. Which expression can be used to find how many weeks it will take to save for the digital camera?
Answers
Answer:
7 weeks
Step-by-step explanation:
Jasmine=$10
Nat=$11
10+11=$22 each week
135/22=6.14
at least 7 weeks
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 27 bags of leaves. How much money did he earn?
Answers
Answer:
$54 : 27 bags
Step-by-step explanation:
its to much to explain
i got my math wrong
what’s the answer for this question
Answers
A=5*5
=25 square feet
Fenyang got 666 rabbits to raise on his farm. From the following month forward, the rabbit population doubled every month.
Answers
Answer:
geometric sequence
Step-by-step explanation:
Which product has 4 zeros after the digit 3? 0.03 times 10 with the power of 5. 0.3 times 10 with the power of 4 0.03 times 10 with the power of 4. 0.03 times 10 with the power of 5
Answers
Answer:
[tex]0.3 * 10^5[/tex]
Step-by-step explanation:
0.3
^ You need to move the three before the decimal place and leave 4 empty digits (0) between
0.3
3.0
30.0
300.0
3000.0
30000.0
A total of 5 moves.
Each move is equivalent to x, the preceding value, times 10. x * 10
Repeated multiplication times the same factor equates to exponentiation, so for a total of 5 moves, it is notated as [tex]10^5[/tex], giving you an expression of:
[tex]0.3 * 10^5[/tex]
AWARDING BRAINLIEST! PLEASE HELP!!!
Answers
Answer:
Right triangle
Step-by-step explanation:
we are given three sides as 14 ft, 48 ft, and 50 ft
Firstly, we will verify for right angle
We know that any triangle is right angled when it satisfies Pythagoras theorem
We know that hypotenuse side value is always largest
so, hypotenuse=c=50
Let's assume other two sides as
a=14
b=48
now, we can use Pythagoras theorem formula
C²=a²+b²
we can plug values and we check whether left side is equal to right side
50²=14²+48²
2500=196+2304
2500=2500
we can see that left side is equal to right side
Since, it satisfies Pythagoras theorem
Therefore, Right triangle is the answer
Answer:
I believe, obtuse.
Step-by-step explanation:
You have one extremely small side, two long sides. If you put your hands together and logically measure the 14 length side, you'd realize it is obtuse. I have no mathematical evidence.
please answer both questions!! will mark brainly
Answers
Answer:
m=2
mean is 13
