What is the measure of ∠R ? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. m∠R= ° A right triangle R S T. Angle S is marked as a right angle. Side R T is labeled as 40 centimeters. Side S T is labeled as 30 centimeters.
Answers
We have been given that in triangle RST, angle S is marked as a right angle. Side RT is labeled as 40 centimeters. Side ST is labeled as 30 centimeters. We are asked to find the measure of angle R.
First of all, we will draw a right triangle using our given information as shown in the attachment.
We can see that RT is hypotenuse and St is opposite side to angle R. We know that sine relates opposite side to hypotenuse of right triangle.
[tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
[tex]\text{sin}(\angle R)=\frac{ST}{RT}[/tex]
[tex]\text{sin}(\angle R)=\frac{30}{40}[/tex]
[tex]\text{sin}(\angle R)=\frac{3}{4}[/tex]
Now, we will use arcsin to solve for angle R as:
[tex]\angle R=\text{sin}^{-1}(\frac{3}{4})[/tex]
[tex]\angle R=48.59037789[/tex]
Upon rounding to nearest hundredth, we will get:
[tex]\angle R\approx 48.59[/tex]
Therefore, the measure of angle R is approximately 48.59 degrees.
Answer:
48.59
Step-by-step explanation:
Just took the test!!
Related Questions
Help !
Can I have an explanation as well please !
Answers
Look at the attached picture
hope it will help you
A principle square root is always:?
Answers
Answer:
Every positive number "n" has two square roots. One of them is positive ( or ) , and the other is negative ( ). Together, these are denoted as . The principal square root is the positive number square root. Unless otherwise stated, "the square root" of a number refers ONLY to the principal square root.
Step-by-step explanation:
Answer:
positive #square root
Step-by-step explanation:
Which number comes next in the pattern?
17, 21, 25, 29, ?
a. 31
b. 32
c. 33
d. 34
Answers
Answer:
C. 33
Step-by-step explanation:
The pattern increases by 4; 17+4=21, 21+4=25, 25+4=29, 29+4=33
Which functions represent a horizontal translation to the left of the parent function f(x) = In x?
Check all that apply.
g(x) = 3 In(x - 1) + 6
h(x) = 3 In(x + 3) + 1
r(x) = -3 In(x + 1) + 3
s(x) = -3 In(x) - 3
p(x) = In(x + 2) - 2
Answers
Answer:
Step-by-step explanation:
Answer:
B,C,E
Step-by-step explanation:
PLSSSSSS HELP
BRAINLIST
Answers
Answer:
The step 4 is not what he should have done. But the wrong is step 5, because if he added -2x both sides, it would give the following equation:
[tex]x-12=-4x+6[/tex]
and not [tex]x-12=6[/tex]
Note that in step 4 he should have added 2x and not -2x to both sides, but we still have the equality. The problem is that step 5 is totally wrong.
I don't know what answer is expected to this question, but I would mark step 5, because this is mathematically wrong.
Solving the equation
[tex]3(x-4)=-4-2(x-5)[/tex]
Using distribution
[tex]3x-12=-4-2x+10\\3x-12=-2+6[/tex]
Add [tex]2x[/tex] both sides
[tex]3x-12+2x=-2x+6+2x[/tex]
[tex]5x-12=6[/tex]
Add 12 both sides
[tex]5x-12+12=6+12\\5x=18[/tex]
Divide both sides by 5
[tex]$x=\frac{18}{5} $[/tex]
What is the sum of the first five terms of the geometric sequence in which
a1 = 3 and r= 1/3?
Express your answer as an improper fraction using the slash (/) key and no
spaces.
Answers
Final answer:
The sum of the first five terms of the geometric sequence with a1 = 3 and r = 1/3 is 121/81.
Explanation:
The sum of the first five terms of a geometric sequence where a1 = 3 and r= 1/3 is found using the formula for the sum of a geometric series Sn = a1 * (1 - rn) / (1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms. Plugging our values into the formula, we get:
S5 = 3 * (1 - (1/3)5) / (1 - 1/3)
First, we calculate (1/3)5, which is 1/243. Then we can rewrite the equation:
S5 = 3 * (1 - 1/243) / (2/3)
Subtracting inside the brackets gives us 242/243. The division by 2/3 is equivalent to multiplying by 3/2, resulting in:
S5 = 3 * (242/243) * (3/2) = 9/2 * 242/243
Finally, we multiply the fractions:
S5 = 726/486
Reducing this to simplest terms gives:
S5 = 121/81
Final answer:
To find the sum of the first five terms of a geometric sequence with a = 3 and r = 1/3, use the formula for the sum of a geometric series to get 242/81.
Explanation:
The sum of the first five terms of a geometric sequence can be calculated using the formula for the sum of a geometric series.
Given a1 = 3 and r = 1/3, the sum of the first five terms is 3(1 - (1/3)⁵) / (1 - 1/3).
Plugging in the values, the sum is (3 * 242) / 243 = 726 / 243 = 242 / 81.
Explain how leaders supported writers.
Answers
Answer:
It seems there has been an explosion of articles about leading and leadership and what to do to be a great leader. Their suggestions can seem so broad and wide-ranging that it can be difficult to know just what to do next when trying to lead. Some seem so romanticized and idealized that it is hard to imagine anyone being a truly great leader. Yet, there are some practical skills needed in leading, and they can quite different depending on whether you are leading yourself, other individuals, groups or organizations -- and on the situation each is in. This topic provides the resources to develop those skills. However, if you want to truly understand leadership (and this topic assumes that you do), then you should be acquainted with its broad context, including the diversity of theories, models and styles in leadership. This topic mentions all of those, as well.
Step-by-step explanation:
Answer: It seems there has been an explosion of articles about leading and leadership and what to do to be a great leader. Their suggestions can seem so broad and wide-ranging that it can be difficult to know just what to do next when trying to lead. Some seem so romanticized and idealized that it is hard to imagine anyone being a truly great leader. Yet, there are some practical skills needed in leading, and they can quite different depending on whether you are leading yourself, other individuals, groups or organizations -- and on the situation each is in. This topic provides the resources to develop those skills. However, if you want to truly understand leadership (and this topic assumes that you do), then you should be acquainted with its broad context, including the diversity of theories, models and styles in leadership. This topic mentions all of those, as well.
Step-by-step explanation: I got it right
What is the surface area of a cylinder with base radius 4 and height 5? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answers
The surface area of the cylinder is [tex]\( 72\pi \)[/tex] or approximately [tex]\( 227.836 \)[/tex] square units when using [tex]\( \pi \approx 3.143 \)[/tex].
The surface area of a cylinder can be calculated using the formula:
[tex]\[ \text{Surface Area} = 2\pi r^2 + 2\pi r h \][/tex]
where [tex]\( r \)[/tex] is the radius of the base and [tex]\( h \)[/tex] is the height of the cylinder.
Given the base radius [tex]\( r = 4 \)[/tex] and the height [tex]\( h = 5 \)[/tex], we can substitute these values into the formula:
[tex]\[ \text{Surface Area} = 2\pi (4)^2 + 2\pi (4)(5) \][/tex]
[tex]\[ \text{Surface Area} = 2\pi (16) + 2\pi (20) \][/tex]
[tex]\[ \text{Surface Area} = 32\pi + 40\pi \][/tex]
[tex]\[ \text{Surface Area} = 72\pi \][/tex]
Now, if we use the approximation[tex]\( \pi \approx 3.143 \)[/tex], the surface area becomes:
[tex]\[ \text{Surface Area} \approx 72 \times 3.143 \][/tex]
[tex]\[ \text{Surface Area} \approx 227.836 \][/tex]
Graph each linear equation.
x-y=-2
Answers
Answer:
the second answer
Step-by-step explanation:
start by getting the given equation into slope intercept form: y=mx+b
Just subtract x from both sides to get y by itself then divide by -1 bc y needs to be positive:
x-y=-2
-y=-x-2
y=-x/-1 -2/-1
y=x+2
This line is positive so it'll increase from left to right and also go through point (0,2) ( aka the y-intercept)
Jen ran for 10 minutes with the speed of 6 mph and then walked for 30 minutes at a speed of 3 miles per hour. What is the total distance covered by Jen?
Answers
Answer:
2.5 miles
Step-by-step explanation:
Jen ran for 10 minutes. This is 1/6 of an hour.
1/6*6=1
He covered 1 mile in that 10 minutes.
Jen then walked for 30 minutes. This is 1/2 of an hour.
1/2*3=1.5
He covered 1.5 miles in that 30 minutes.
1+1.5=2.5
The total distance covered by Jen is 2.5 miles.
Answer:
2.5
Step-by-step explanation:
The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y = -2x + 4,
y = -5x-1
What is the solution to the system?
Answers
Answer:
(x, y) = (-5/3, 22/3)
Step-by-step explanation:
The graph and solution are shown below.
The solution is (-1 2/3, 7 1/3).
Which statement is not true about the absolute value of -6?
A. It describes the distance between 6 and -6 on the number line
B. It equals the absolute value of 6
C. It describes the distance between -6 and 0 on the number line
D. It can be expressed as |-6|.
Answers
Answer:
A.
Step-by-step explanation:
The distance between 6 and -6 on a number line is not the absolute value of -6.
Answer:
the answer is A
Step-by-step explanation:
Help ASAP, question below, 20 points
Answers
Answer:
1 more lawn per hour
Step-by-step explanation:
Brian mows one lawn every hour while logan takes 4 hours to mow 2
Brian:
Hr 1 1 Lawn
Hr 2 2 Lawn
Hr 3 3 Lawn
Hr 4 4 Lawn
Logan:
Hr 1 2 Lawn
Hr 2 4 Lawn
Hr 3 6 Lawn
Hr 4 8 Lawn
Find the distance between (3,0) and (8,12)
Answers
explanation: use the distance formula to solve (or pythagorean theorem)
Answer: 13
math-way is helpful with problems like these.
All I need to know is if I picked the right one!
Answers
Answer:
No! The answer is not zero. There can be infinite solutions for this equation.
Hope it helps!
Answer:
no
Step-by-step explanation:
there can be more solutions ( infinite) as x could be either negative and positive...
· A store has put a robotics kit on sale for 25% off the original price. If the original price is
$40, what is the soles price?
Answers
Answer:
$30
Step-by-step explanation:
50% of $40 would be half of 40 so 50%=20
Half of 50% =25% so half $20 is $10
This means that the discount price is $10 so if we take away the original price ($40) from the discount ($10) that leaves us with the new sale price of $30!
Hope this helps!
Answer:
$30
Step-by-step explanation:
If an item is 25% off of it's original price, off it is 75% of it's original price.
(100-25=75)
So, what we need to do is find 75% of 40.
0.75*40=30
The sales price is $30.
Here is a table of values for y = f(x).
x 0 5 10 15 20 25 30 35 40
(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13).
B. f(15) = 8
c. K(5) = 6
D. The range for fx) is all real numbers.
Answers
Answer, Step-by-step explanation:
Based on the given table of values for y = f(x), the following statements are true:
A. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13). [True]
B. f(15) = 8 [True]
C. f(5) = 6 [True]
D. The range for f(x) is all real numbers [False]
The range for f(x) is not all real numbers, as the table only provides specific values for y = f(x) and does not cover all possible real numbers. The range for f(x) is the set {5, 6, 7, 8, 9, 10, 11, 12, 13}.
1
Complete the following proof by putting the reasons in order. Click on the proof to make it larger.
Remember, draw the diagram on your paper so you can label it!
Drag and drop the reasons so they are in the correct order for the proof.
SAS
Given (1)
Given (2)
CPCTC (Congruent parts of congruent triangles are congruent)
Reflexive Property
Answers
Answers:
Angle MNP is congruent to Angle OPN- Given 1MN is congruent to OP- Given 2Np is congruent to NP- Reflexive PropertyTriangle MNP is congruent to Triangle OPN- SASMp is congruent to No- CPCTCI've attached a diagram that visually shows the congruency!!
A tailor pays $10.25 per yard for wool and pays $5.75 per yard for cotton. He bought 4.8 yards of cotton and spent a total of $85.00 on the
two types of fabric.
How many yards of wool did he buy?
A. 4.1 yards
B. 5.6 yards
C. 6.2 yards
D. 8.2 yards
Answers
Answer:
A. 4.1 yards
Step-by-step explanation:
Multiply $10.25 by 2 because there is 2 fabrics. You would get 20.5 and divide 20.5 from 85.00 and the answer is 4.1.
He buys 5.6 yards of wool, the correct option is B.
What is the equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
A tailor pays $10.25 per yard for wool and pays $5.75 per yard for cotton.
He bought 4.8 yards of cotton and spent a total of $85.00 on the two types of fabric.
Let x be the yards of wool did he buy.
The yards of wool did he buy is given by;
[tex]\rm 10.25x + 5.75 \times 4.8 = 85\\\\10.25 x=85-27.6\\\\10.25 x=57.4\\\\x=\dfrac{57.4}{10.25}\\\\x=5.6[/tex]
Hence, he buys 5.6 yards of wool, the correct option is B.
Learn more about the equation here;
https://brainly.com/question/18325304
#SPJ2
Which expression has a lesser value? 1/3 x (492 - 166) or 3 x (492 - 166)
Answers
Answer:
1/3x(392-166)
Step-by-step explanation:
1/3x(492-166)
1/3x(326)
=326/3
3x(492-166)
3x(326)
=978
Tip, think of 1/3 and 4 as pizzas. Do you want 1 out 3 pizzas? Or 4 pizzas?
The Answer:
1/3x(392-166)
PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER SOLVES THIS FIRST ITS A GRADE :)!!
Answers
Answer:
B- the volleyball one
Step-by-step explanation:
A negative correlation is a relation where one variable goes up and another variable goes down. One variable in this is the volley ball time. Another is the amount of free time. As the time spent on volley ball goes up, the free time goes down and vice versa.
I think it's option D, let me know if this helps
If f(3) = -15, then what is f^-1(-15)?
Answers
Answer:3
Step-by-step explanation:
This is the basic definition of an inverse. f(3)=-15 means you plugged in 3 in the function, and you ended up with -15. The inverse means you plugged in some number x, and ended up with -15. Because f(3)=-15, the answer is 3.
The probability that Gerald makes a three-point shot in basketball is 20%. For practice, Gerald will regularly
shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him
to get his first successful shot.
He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and
in each trial, he counted how many shots it took to get the first successful shot. Here are his results:
Answers
count all the dots that are greater than 10. you'll get 6 dots. the question is asking for the dots 10 and fewer there is 40 dots in total so you subtract
40-6= 34
the answer is 34/40
The probability for the dots 10 and fewer shots to get a successful shot is 34/40
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The probability that Gerald makes a three-point shot in basketball is 20%.
He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot.
all the dots that are greater than 10 = 6 dots.
we need to find for the dots 10 and fewer there are 40 dots in total
So,
40-6= 34
Thus, the answer is 34/40
Learn more about probability here;
https://brainly.com/question/11234923
there were 100 questions on the social studies test. Arpan answered 97 of the questions Correctly. what fractions and demical presents the fraction of questions Arpan answered correctly?
Answers
Answer:
97/100 i think
Step-by-step explanation:
What is the probability that a red 10 is drawn in a regular deck of cards?
Answers
Answer:
1/26 or 1 out of 26
Step-by-step explanation:
only 2 red tens
52 cards in a deck
2/52=1/26
The vertices on the snowflake pictured form what kind of geometric figure?
Answers
Answer:
The natural, hexagon geometry of a snowflake
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
In the week that ended on January 4, there were 24 cases of flu reported in a city’s hospital. In the 5 weeks that followed, the number of new cases reported each week had grown exponentially and can be modeled by this graph.
Answers
Final answer:
The question involves analyzing the exponential growth of influenza cases and understanding historical flu pandemics, from the model of cases' augmentation in the hospital to societal impacts and public health responses, which falls within the field of Biology for High School students.
Explanation:
The discussion around the reported cases of flu, responses to outbreaks, and historical flu data primarily involves understanding trends in influenza incidences and epidemiology, which is a field within Biology. When analyzing how flu cases reported in a hospital grow, utilizing an exponential model suggests a mathematical approach to biological data. This is a common method in epidemiology for tracking the spread of diseases. Moreover, looking at past flu pandemics, the focus shifts to the interaction between the disease and society, and how responses such as quarantine and public health measures impact the containment and eventual decline of a pandemic. Historical data can provide insights into how a disease progresses through a population, the impact on the healthcare system, and how public health responses can mitigate these effects.
For example, during the 2007-2008 influenza season, the United States saw an abnormal increase in emergency department visits for influenza-like symptoms. In the context of the 2009-2010 flu pandemic, which resulted in a significant number of worldwide deaths, we can see the importance of quick response and effective public health strategies in areas like the United States. Data showing the number of cases and deaths over time highlight how the course of an outbreak or a pandemic can change based on these factors and natural disease progression.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answers
Answer:
1/7
Step-by-step explanation:
The following information is missing:
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability 1/2 of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability 2/7 of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
Let's call:
A: captain hits, P(A) = 1/2
A': captain miss, P(A') = 1 - P(A) = 1/2
B: pirate hits
We want to calculate P(A'∩B). This can be computed as follows:
P(A'∩B) = P(A')*P(B|A')
where P(B|A') means pirate hits given that captain miss. We know that P(B|A') = 2/7. Replacing data into the equation:
P(A'∩B) = (1/2)*(2/7) =1/7
To reduce the likelihood of an accident when driving, you should consider how
far your car will travel before safely coming to a stop for the speed at which you
are traveling. Assume you are traveling on a dry road and have an average reaction
time. The formula d = 0.044s + 1.1s gives you a safe stopping distance d in feet,
where s is your speed in mi/h. Make a table of values for speeds of 10, 20, 30, 40,
50, and 60 mi/h. Then, graph the function.
Answers
Answer:
10 -- 1.54
20 -- 1.98
30 -- 2.42
40 -- 2.86
50 -- 3.3
60 -- 3.74
Step-by-step explanation:
jus tput the value of x:10,20,30,40,50,60 and calculate y
then plot x and y
Answer:
d = 0.044s + 1.1s
d = 1.144s
s. | d.
10 | 11.44
20 | 22.88
30 | 34.32
40 | 45.76
50 | 57.2
60 | 68.64
For the graph, draw a straight line (only in the first quadrant) connecting:
(0,0) and (50,57.2)
Label the horizontal axis "speed (m/h)" and the vertical axis "distance (m)"
if there are 5,280 feet in every mile, then what is the speed of a car that is traveling 35 miles per hour in feet per second.
a) 24
b) 38
c) 44
d) 51
Answers
Hey there!
We see that we have 35 miles, and each one is 5,280 feet. Given this, we multiply them together and we see that we have 184800 feet per hour. But, we need feet per second. To do this, we can look at this.
60 seconds=1 minute
60 minutes= one hour
If we use this, we can see that there are 3600 seconds in one hour. We now divide our feet per hour divided by 3600 to get feet per second.
184800/3600= 51 1/3
Therefore, our answer is D) 51.
I hope this helps!
The speed of the car in feet per second should be option D. 51.
The calculation is as follows:We know that
60 seconds=1 minute
60 minutes= one hour
And, in one hour there is 3600 seconds
So,
[tex]= (5280 \times 35) \div 3600[/tex]
= 51
Learn more: https://brainly.com/question/24908711?referrer=searchResults