Answer:
R=60
S=55
T=65
Step-by-step explanation:
[tex]\boldsymbol{m\angle R, m\angle S, m\angle T}[/tex] are equal to [tex]\boldsymbol{60^{\circ},55^{\circ},65^{\circ}}[/tex] respectively.
According to angle sum property of a triangle, sum of all angles of a triangle is equal to [tex]\boldsymbol{180^{\circ}}[/tex]
Let [tex]m\angle R=x[/tex]
As [tex]m\angle T[/tex] is [tex]5^{\circ}[/tex] more than [tex]m\angle R[/tex],
[tex]m\angle T=5^{\circ}+m\angle R[/tex]
[tex]\boldsymbol{m\angle R=m\angle T-5^{\circ}}[/tex]
Also,
[tex]m\angle S[/tex] is [tex]10^{\circ}[/tex] less than [tex]m\angle T[/tex],
[tex]\boldsymbol{m\angle S=m\angle T-10^{\circ}}[/tex]
So,
[tex]\boldsymbol{m\angle R+m\angle S+m\angle T=180^{\circ}}[/tex]
[tex]m\angle T-5^{\circ}+m\angle T-10^{\circ}+m\angle T=180^{\circ}[/tex]
[tex]3m\angle T-5^{\circ}-10^{\circ}=180^{\circ}[/tex]
[tex]m\angle T=\frac{195^{\circ}}{3}[/tex]
[tex]\boldsymbol{=65^{\circ}}[/tex]
[tex]m\angle R=65^{\circ}-5^{\circ}[/tex]
[tex]\boldsymbol{=60^{\circ}}[/tex]
[tex]m\angle S=65^{\circ}-10^{\circ}[/tex]
[tex]\boldsymbol{=55^{\circ}}[/tex]
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what does zero stand for
What is the slope and equation of a line perpendicular to the y-axis passing through point (–5, –3)?
Answer:
Slope: m = 0
Equation: y = -3
Step-by-step explanation:
A line perpendicular to the y-axis always has a slope of 0. Slope is calculated by (y2-y1)/(x2-x1) or rise/run or delta y/delta x (they're all the same thing, delta means difference and is notated with a triangle). When there is no change in y (perpendicular to the y-axis), no matter what the change in x is, the slope will be 0.
Since it is given that one of the points has a y-value of -3, the equation for this line would be y = -3. The formula for a linear equation is y=mx+b. Since the slope is 0, the value of mx is 0, and therefore not needed in the equation. b represents the y-intercept and in this case would be -3.
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
In Jeopardy, if you answer a question
incorrectly. you lose points. If Owen's score
is 200 points, then he answers a 350-point
question incorrectly, find his score.
Need this ASAP
Answer:
-150 points cause 200-350= -150
Step-by-step explanation:
Can i have brainliest i've never got one before
1)What Is Cos(150) ,sin(150), tan(150)
Answer:
cos(150)=−√32 sin(150)=12. Explanation: First of all, observe that 150=180−30 . Then, remember that we have. cos(180−x)=−cos(x)
Step-by-step explanation:
find the midpoint of the line segment with the given endpoints (9, -8) (-10, -2)
Answer:
mid point=(-1/2,-5)
Step-by-step explanation:
Desmond follows a recipe that uses 4 cups of flour for each pizza crust he makes. If he makes 16 pizza crusts, how many cups of flour does he use?
Answer:
64 cups of flour
Step-by-step explanation:
Each crust uses 4 cups of flour.
So, 16 crusts uses 64 cups of flour. (16x4)
help help help\help help help\help help help\help help help\help help help\help help help\help help help\
Answer:
D
Step-by-step explanation:
Subtract 60 from 80 to get 20, and divide 20 by 80 to get 1/4, which can be converted to 25%.
Answer:
i think its D but im not exactly sure
Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9
Answer:
y = 2x + 6
slope = 2
y intercept = 6
You have 41 marbles in a bag. Inside the bag are 15 red marbles, 10 blue marbles, and
the rest are white. If you reach into the bag and randomly select a marble, then what is
the probability the selected marble will be red?
Answer:
15/41
There are 41 marbles and 15 of them are red so you have a 15/41 chance to pick out a red as that is how many of them there are as compared to the total
Jamel has a cell phone that has unlimited minutes and texts for $45 a month, but he has to pay $5 for each gigabyte of data he uses. If he does not want to spend more than $65 for his cell phone each month, how many gigabytes can he use?
Answer:
I think it's 4 gigabytes
Step-by-step explanation:
He only wants to pay 65$ and he already spends 45$ on his phone already. So you only have 20 dollars until his grand totaly of 65$ so 5x4= 20 so he can only use 4 gigabytes. Does that make sense? Hope I helped eheh
Which fractions are equivalent to 9 6
Answer:
2/3
Step-by-step explanation:
The fractions which are equivalent to the fraction [tex]\frac{9}{6}[/tex] from the given options are [tex]\frac{3}{2}[/tex] and [tex]\frac{12}{8}[/tex], which are options (A) and (C).
Given a fraction [tex]\frac{9}{6}[/tex].
It is required to find the fraction which is equivalent to the given fraction.
If two fractions are equivalent, then they will be proportional.
The fraction [tex]\frac{9}{6}[/tex] can be written as [tex]\frac{3*3}{2*3}[/tex].
Here, when 3 gets canceled, the resulting fraction is [tex]\frac{3}{2}[/tex].
So, [tex]\frac{3}{2}[/tex] is equivalent to [tex]\frac{9}{6}[/tex].
And, [tex]\frac{3}{2}[/tex] is the simplest fraction that cannot be simplified further.
So, any number multiplied by it both on the numerator and denominator will be an equivalent fraction.
Multiplying both the numerator and denominator of the fraction [tex]\frac{3}{2}[/tex] by 4, the resulting fraction is [tex]\frac{12}{8}[/tex].
Hence, the correct options are (A) and (C).
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The complete question is given below.
Which fractions are equivalent to [tex]\frac{9}{6}[/tex]?
(A) [tex]\frac{3}{2}[/tex]
(B) [tex]\frac{4}{5}[/tex]
(C) [tex]\frac{12}{8}[/tex]
(D) [tex]\frac{10}{8}[/tex]
You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500
Answer:
B
Step-by-step explanation:
120/60=2
2 hours
The time required in minutes to set the sterilizer is 120. The correct option is B.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.
The time in minutes will be calculated as:-
Time = 2 hours
Time = 2 x 60 minutes
Time = 120 minutes
Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.
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There are 3 times as many books in the town library as there are on the school library. The town library has 2,676 books. How many books are in the school library?
Answer:
892 Books.
Step-by-step explanation:
It says there are three times as many books in the town library than the school, which means you would have to divide the amount of books in the town library by three.
Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the minimum amount of time if Brandon can swim at 2 m/s and run at 6 m/s.
Answer:
The minimum amount of time required is 74.7 seconds.
Step-by-step explanation:
The question can be solved in two cases:
i. diagonal swimming of Brandon across the river
ii. Running of the rest distance by Brandon.
Case I: Since he would swim diagonally across the river, then the diagonal distance can be determined by applying appropriate trigonometric function.
Let the diagonal be represented by x, an included angle θ = [tex]45^{o}[/tex] is formed at his starting point (angle formed by the diagonal and the length of the width of the river).
So that:
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]45^{o}[/tex] = [tex]\frac{70}{x}[/tex]
x = [tex]\frac{70}{Cos 45^{o} }[/tex]
= 98.995
x = 99 m
The diagonal distance covered by Brandon is 99 m.
The time to cover this distance can be calculated by:
speed = [tex]\frac{distance}{time}[/tex]
time = [tex]\frac{distance}{speed}[/tex]
Given that his swimming rate is 2 m/s, then:
time = [tex]\frac{99}{2}[/tex]
= 49.5
The time taken by Brandon to swim diagonally is 49.5 seconds.
Case II: Since he want to cover a total distance of 250 m;
remaining distance to be covered = 250 - 99
= 151
time = [tex]\frac{distance}{speed}[/tex]
Given that he runs at 6 m/s, then;
time = [tex]\frac{151}{6}[/tex]
= 25.1667
The time taken by Brandon to run the remaining distance is 25.2 seconds.
The minimum amount of time required = time taken by Brandon to swim diagonally + time taken by Brandon to run the remaining distance
= 49.5 + 25.2
= 74.7
The minimum amount of time required is 74.7 seconds.
Minimum amount of time to reach the desired point is 79.5 s
Brandon is on one side of a river
The width of the river = 70 m
Brandon wants to reach a point that is 250 m downstream of opposite side as quickly as possible by swimming diagonally across the river then running the rest of the way.
The swimming speed of Brandon = 2 m/s
The speed of running of Brandon = 6 m/s
Let us consider that the included angle be 45°
[tex]\rm cos \; \theta = \dfrac{70}{x} \\\\cos \; 45 = \dfrac{70}{x} \\\x = \dfrac{70}{0.707} \approx 99[/tex]
So the distance traveled by Brandon in water is 99 m
As the swimming speed of Brandon is given 2 m/s
So the time taken by Brandon to cross the river is given as follows
[tex]\rm Time = \dfrac{Distance}{Speed}[/tex]
[tex]\rm Time \; to\; cross\; the\; river = \dfrac{99}{2} = 49.5 \; s[/tex]
Let the horizontal distance covered by Brandon by swimming is H
So from Pythagorean theorem we can write
[tex]\rm H = \sqrt{99^2 -70^2 } = 70[/tex]
The distance that is left to be traveled by running is 250 - 70 = 180 m
So Time taken in running to reach the point by running = 180/6 = 30 s
So the time to reach the desired point = 49.5 + 30 = 79.5 s
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The art department is ordering paint supplies for their next project. They have $200 in their budget for paint and brushes. Each paint tube costs $12 and each brush costs $2. If the department buys 27 brushes, what is the most number of paint tubes they can buy?
Answer:
12
Step-by-step explanation:
27 times2 is 54 -200 =146 12 times 12 is 144 and you cant go over 146 for 13 please mark brianly
Solve for y
3(7y + 4) = 15y + 6y +4+8
Answer: the are no values of y that make it true
Step-by-step explanation: no solution
Answer:
-4/7
Step-by-step explanation:
68 over 100 is what %
Answer: it should be 68%
According to the steps in problem 4, what is the fraction equivalent of 0.5? 9/5 4/9 5/9 5/13
Answer:
C. 5/9Step-by-step explanation:
10x = 5.5
-x = 0.5
9x = 5
x = 5/9
therefore, the answer is C. 5/9
Look at image please help me asap
Answer: [tex]b^2[/tex]
You can write this as b^2
===================================================
Work Shown:
[tex]c = \frac{(ab^5)^{1/2}}{(ab)^{1/2}}\\\\c = \left(\frac{ab^5}{ab}\right)^{1/2}\\\\c = \left(b^4\right)^{1/2}\\\\c = b^{4*1/2}\\\\c = b^{2}\\\\[/tex]
For which equations is 8 a solution. select 4 answers
X+6=2
X+2=10
X-4=4
X-2=10
2x=4
3x=24
X/2=16
X/8=1
Please hurry im timed
Answer:
X/8=1
X-4=4
×+2=10
Step-by-step explanation:
hope this helps :)
10 POINTS IF SOMEONE COULD HELP ME WITH THIS!! :(
Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators?
a) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level.
b) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
c) Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1.
d) Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.
Answer:
Your answer is B) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
Mark as brainliest if it's correct!
Isabella deposited $2000 in an account that pays 5% simple annual interest after one year how much interest will her investment pay
Answer:
100
Step-by-step explanation:
5% of 2000 is 100
what is the percentage of change for the cost of cheeseburger if in the year of 2000 it was $5.00 and in 2015 is $6.50.
Answer:
$2.50
2015: $2.00
2000: $7.50
2000: $5.00
2000: $2.00
2015: $9.00
2015: $6.50
2015: $4.50
2010
1. what is the percent of change in the cost of a pizza? _ a
x 150
100 1.50 p1500 750 1155oo.
150 isg
pi
2. what is the percent of change in the cost of a cheeseburger?
175
6.50
1.50
Step-by-step explanation:
Help fast Fast Fast Fast
Answer:
0,5
Step-by-step explanation:
Missing number 5 or it can be a 0
This is beacause a number that ends with 0 or 5 is divisible by 5. Divisibilitiy rules state that!
Ex: 5 x 5 = 25
5 x 4 = 20
A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.4% people
Step-by-step explanation:
Convert fraction (ratio) 24 / 6,000 Answer: 0.4%
Answer:
0.4%
Step-by-step explanation:
HEY CAN ANYONE PLEASE HELP ME:))!!!
there could be a calculator online to solve it
Question 7
Which radical expression consists of two perfect squares?
A
V16
B
V25
С
125
D
V21
Answer:
A. √16
Step-by-step explanation:
A perfect square is any number that can be expressed as a product of an integer and itself. i.e. 4 can be represented as 2 × 2. Therefore, 4 is a perfect square.
From the options given, the only radical expression that has two perfect square is √16.
√16 consists of two perfect squares, which are 4 and 4.
4 can be expressed as 2 × 2.
Thus: √16 = √(2 × 2)(2 × 2).
Therefore, √16 consists of two perfect squares.
Do not really understand this question anybody help ?
Need help ()()()()()((;(;
Answer:
20%
Step-by-step explanation:
4/20 = x/100
100*4 =400
400/20 = 20
so
4/20 = 20/100
