Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified
A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?
Answer:
Each costume will take 7 1/3 yards of green fabric
Step-by-step explanation:
They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
Answer:
Yes, because when the values are substituted in, the equation becomes a true statement
Step-by-step explanation:
plug in the values for x and y and see if the equation makes sense
x=3
y=11
1/3(3)+11=12
1+11=12
12=12
Since the above equation is true, the point is a solution for the linear equation.
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
4. Simplify the expression
2(10) + 2(x-4).
(A) 2x + 16
(B) x+12
© 2x + 12
(D) x + 16
Answer:
C. 2x + 12
Step-by-step explanation:
2(10) + 2(x-4)
= 20 + 2x - 8
= 2x + 20 - 8
= 2x + 12
50 POINTS!
In the diagram, d = 4. What is the value of x? Express your solution in simplest radical form, if necessary.
Answer:
146
Step-by-step explanation:
180=4+30+x
180=34+x
180-34=x
146=x
The 28 students in Mrs. Colby's class will share 98 slices of
pizza equally
How many slices will each student get?
Answer:
3 1/2 slices each
Step-by-step explanation:
98/28=3.5
Answer:
Every student will get 3 to 4 slices of pizza
Step-by-step explanation:
This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.
Hope this helped
A weight of 6 lb stretches a spring a distance of 12 in. Find the constant k for the spring.
Answer:
Let F = the force (6 lbs) and x be the distance that the spring is stretched (12 inches).
F = kx
6 lb = k*(12 in.)
6/12 = k = 0.5 lb/in.
A weight of 6 lb stretches a spring a distance of 12 in. The constant k for the spring will be 0.5 lb/in.
How to obtain acceleration from force applied on an object?If the object is of mass m kg and force applied on it is of F N in the direction of motion, then the acceleration of that object is evaluated as:
a= F/m
Given; A weight of 6 lb stretches a spring a distance of 12 in.
Also,
Let F = the force and x be the distance that the spring is stretched
F = kx
6 lb = k*(12 in.)
6/12 = k = 0.5 lb/in.
Therefore, the constant k for the spring will be 0.5 lb/in.
Learn more about spring here;
https://brainly.com/question/13258939
#SPJ2
decide whether the triangle is a right triangle.
Answer:
no it is not a right angle triangle
Problem situation:
Janelle is at the movie theater and has $20
to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20 > 8 + 4.99x
Drag each number to show if it is a solution to both the inequality and the problem
situation, to the inequality only, or if it is not a solution.
Answer:
Rewrite so x is on the left side of the inequality.
8 + 4.99x < 20
Move all terms not containing x to the right side of the inequality.
4.99x < 12
Divide each term by 4.99 and simplify.
x < 2.405
The result can be shown in multiple forms.
Inequality Form:
x < 2.405
Interval Notation:
( −∞ , 2.405 )
Step-by-step explanation:
Answer:
Both:
1
2
Inequality Only:
-4
3/4
2.3
Neither:
2.5
Find the value of k, represented as a decimal rounded to the nearest tenth.
5/7 = 12/k
Answer:
We conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
We need to determine the value of k, represented as a decimal rounded to the nearest tenth.
Let us solve the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
Apply cross-function multiply: if [tex]\frac{a}{b}=\frac{c}{d}[/tex] then [tex]a\cdot \:d=b\cdot \:c[/tex]
[tex]5k=7\cdot \:12[/tex]
[tex]5k=84[/tex] ∵ 7 · 12= 84
Divide both sides by 5
[tex]\frac{5k}{5}=\frac{84}{5}[/tex]
Simplify
[tex]k=\frac{84}{5}[/tex]
[tex]k = 16.8[/tex] (Rounded to the nearest 0.1 or the Tenths Place)
Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
y=3x+−7
Find the slope.
A. 7
B. -7
C. 3x
D. 3
Answer:
D.3
Step-by-step explanation:
In the equation for a line in the form y=mx+c, m represents the slope.
Therefore the slope is 3.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + - 7 ← is in slope- intercept form
with slope m = 3
in angle abcd if b=50 find the other angles
Answer:
angel abcd is not possible
Answer:
can u show the angels?
Step-by-step explanation:
can someone help me on this and plz explain
Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better
Answer:
She did better on the Math test.
Step-by-step explanation:
14/17 is 82 percent, and 31/19 is only about 80%.
Help please and tysm
6 x (5 + 4) - 3 - (2+1)
A 18
B) 30
C) 48
D) 54
Answer:
54
Step-by-step explanation:
Marlye asked students in her school whether they prefer scary movies or comedies she found out that 35 students liked scared movies and 65 likes comidies what percent prefier scary movies
Answer:Percentage of students who prefer scary movies =35%
Step-by-step explanation:
Number of students who prefer scary movies= 35
Number of students who love comedies= 65
Total number of students = 65 +35= 100
Percentage of students who prefer scary movies = Number students who prefer scary movies/ total number of students x 100
35/ 100 x 100
0.35 x 100= 35%
PLEASE HELP ASAP!!
In 2015, the cost of bread was $0.40. In 2021, the cost of bread is $2.00. What is the percent of change?
ILL GIVE BRAINLIEST
Write an equivalent expression by factoring for 6a + 15
what is the sum of 8bb-4bb
Answer:
4bb
Step-by-step explanation:
Answer:
4bb
Step-by-step explanation:
Because you need to combine like terms
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
(This is too easy)
Please help anyone will give Points
Answer:
do the base are 3 then times that twice
Step-by-step explanation:
Solve the two-step inequality and match the answer to the graph
Answer:
(see below; answers at the bottom)
Step-by-step explanation:
-4x + 7 ≥ 27
-4x ≥ 20
-x ≥ 5
Whenever you multiply or divide by a negative number in an inequality, flip the sign:
x ≤ -5
x/1 - 9 < -10
x - 9 < -10
x < -1
3x - 10 < -25
3x < -15
x < -5
5 (x - 2) > -15
Use Distributive Property:
5x - 10 > -15
5x > -5
x > -1
A) x < -5
So, A) 3x - 10 < -25.
B) x ≤ -5
So, B) -4x + 7 ≥ 27.
C) x < -1
So, C) x/1 - 9 < -10.
D) x > -1
So, D) 5 (x - 2) > -15.
Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help
Answer:x= 38.079
Step-by-step explanation:
Solve. Use paper to show your work. Enter your answer in the box.
4\frac{5}{6}-2\frac{1}{2}=4
6
5
−2
2
1
=
4
4
Answer: illegel input- too many equals signs
Step-by-step explanation:
14 = -2s -8
Solve for s
Answer:
s = -11
Step-by-step explanation:
14 = -2s - 8
22 = -2s
2s = -22
s = -11
14= -2s -8
+8 +8 Add 8 to both sides to isolate -2s
22= -2s
--- ----
-2 -2 Divide -2 by both sides
-11=s This is the answer.
Two friends have recently graduated from college and are now looking for jobs. They are debating which type of job is better: hourly or salary. One hourly position that pays $18 an hour, with time-and-a-half pay for overtime. One salary position for the same type of job pays $38,000, does not pay for overtime. If employees work exactly 40 hours per week, which job has a higher hourly rate? How can we calculate this? Describe (compare) how these two different hourly rates would look when graphed as a line. When interviewing for the salaried job, the friends learn that they may have to work about 10 hours of overtime each week. Explain why this math is crucial to determining which job pays more.
Answer: This is a CRQ so you will want to answer using R.A.C.E
Step-by-step explanation:
First, restate the question: "If employees work exactly 40 hours the job with the higher pay rate is..."
Now let's figure it out who gets paid more. The hourly employee gets $18 per hour, for 40 hours each week... 18 times 40. That's $720 for each week.
But they don't work for just one week, they have to work the whole year! So that's 52 weeks. Take the $720 and multiply by 52 weeks.
Now you have the total for how much hourly guy will make in a whole year.
Compare this number with the salary guy who is making $38,000 per year. Which person get's paid more? Hourly or Salary? Don't forget to include your calculations!
.............................................................................
Next part of the question: "When graphed as a line..." This part of the question you do not have to do because we did not cover slope of a line yet. (Hi, I'm your math teacher by the way lol)
.............................................................................
Next part of the question adds 10 hours of overtime to their work week. This changes everything! Remember, the salary guy gets $38,000 every year, no matter how many hours of overtime he works.
However, the hourly guy gets extra money for these extra hours! For overtime, the hourly employee gets "time and a half" pay whenever he has to work extra time. This means he gets his original $18 per hour, AND now also gets half of that ($9 per hour) ... which adds up to a whopping $27 per hour for overtime (nice!)
Hourly guy works 10 extra hours per week, at $27 per hour. Multiply that and you get $270 per week. Remember, 52 weeks per year, so now take the $270 and multiply by 52 weeks. This gives you the total amount of overtime money hourly guy makes.
Combine his overtime money with his regular money (the first thing we did at the start of this problem) to get his new grand total for the year.
Salary guy still makes $38,000 per year. So now that they work overtime... who gets paid more?
Remember to answer in R.A.C.E format. Restate your question, Answer all parts of the question, Cite a math term/definition/concept that supports your answer (maybe use "hourly rate" or "salary"), and Explain your steps and thinking.
Good luck! send me an email for more help.
Mrs. B
The number 650,000 written in scientific notation would be _____.
A.6.5 × 10 -5
B.6.5 × 10 5
C.65 × 10 4
D.0.65 × 10 -6
Answer:
B
Step-by-step explanation:
650000 = 10⁵x 6.5
Answer:
The answer is b.
Step-by-step explanation:
I would need you to tell me the answers to each question (3 questions)
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
mean median mode and range,4,8,6,4,4,1,1
Can yall help its due in 30 minutes
Answer:
$462.50
Step-by-step explanation:
:))