Answer:
The length of QR to the nearest tenth of a foot is 287.28 feet.
Step-by-step explanation:
Let a right angled Triangle QRS have base SQ, perpendicular RS and Hypotenuse QR.
∠S = 90°
∠Q = 17°
Perpendicular = 84 ft
We know that for a right angle triangle
SinΘ = perpendicular/Hypotenuse
Sin ∠Q = 84/QR
QR = 84/sin(17°)
QR = 84/0.2924
QR = 287.2777
QR = 287.28 feet
The cosine rule is used to determine the length of side q. Then the length of side q is 5.34 inches.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°.
Then the length of q will be given by the cosine rule.
[tex]\rm q = \sqrt{r^2 + s^2 - 2rs \cos Q}\\\\q = \sqrt{5.1^2 + 2.4^2 - 2 \times 5.1 \times 2.4 \cos 26^o}\\\\q = \sqrt{26.01 + 5.76 - 24.48 \times 0.89879}\\\\q = \sqrt{50.49 - 22}\\\\q = \sqrt{28.49}\\\\q = 5.34 \ inches[/tex]
The length of the q is 5.34 inches.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
He just sold his bike for £1,890, and he brought it for £2,700
What fraction of the original cost did he sell the bike for ?
Julie was a lifeguard during the summer. She earned a total of $2,176. She was paid $68 per day she worked. How many days did Julie work in the summer?
Answer:
32
Step-by-step explanation:
To answer this question, you have to divide 2,176 by 68.
Water is placed in a cellular bucket on a bench The book has a diameter of 12 in and a height of 12 in The bucket is capable of supporting a max of 200 lb water weights about 64.2 ft³ how much does a water in the bucket weigh
Answer:
bucket of water = 50.397 lbs
Step-by-step explanation:
Pi(r^2)(h) = volume
3.14(6^2)(12) = 1356.48 in^3 = volume of bucket
one ft^3 = 12 x 12 x 12 = 1728 in^3
1356.48/1728 = 0.785 ft^3 (volume of bucket)
0.785(64.2) = 50.397 lbs
Find the missing value.
How do u write 900,000+4,000+500+3 in standard form
Step-by-step explanation:
900,000+4,000+500+3 = 904,503 :)
plis ayuda que tenga explicación y respuesta pero plissss ayuda
Answer:
3/4a-1/3b
OR
-1/3b+3/4a
Step-by-step explanation:
copy this and translate it, because I can't talk this language
add like terms 1/2a+1/4a=2/4a+1/4a=3/4a
then you write -1/3b itself because it don't have like terms
the final answer will be:
3/4a-1/3b
OR
-1/3b+3/4a
A metal measuring tape expands when the temperature goes above 50°F. For every
degree Fahrenheit above 50, its length increases by 0.00064%.
1. The temperature is 100 degrees Fahrenheit. How much longer is a 30-foot measuring
tape than its correct length?
Answer:
The answer is 0.0096
Step-by-step explanation:
which is 0.00032 multiplyed by 30
Answer: the answer is 0.0096
Step-by-step explanation: 0.00032 multiplyed by 30
(answer fast please, thanks!)
Mike and Shawna are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of oatmeal cookie dough. Mike sold 12 packages of chocolate chip cookie dough and 3 packages of oatmeal cookie dough for a total of $225. Shawna sold 6 packages of chocolate chip cookie dough and 11 packages of oatmeal cookie dough for a total of $293. What is the cost each of one package of chocolate chip cookie dough and one package of oatmeal cookie dough?
Answer:
$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough
Step-by-step explanation:
We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.
Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.
First equation for Mike: 12a + 3b = 225
Second equation for Shawna: 6a + 11b = 293
Next we isolate b from Mike's equation: b = 75 - 4a
Then we plug this equation into Shawna's equation and we get:
6a + 11(75 - 4a) = 293
Solving for a would get us 14, or $14 for one chocolate chip cookie dough.
If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.
Hope this helped!
Abby packs plastic cubes in a box. Each cube is 1 square centimeter.
What is the greatest number of cubes she can pack into a box that is 20 centimeters long, 12 centimeters wide, and
11 centimeters tall?
Answer:
2640 cubes
Step-by-step explanation:
20 cm x 12 cm x 11 cm = 2640 cm^3
solve the equation by using trial and error method 6 - x =2
Answer:
x = 4
Step-by-step explanation:
The given equation is :
6 - x =2
Put x = 1 and see LHS is equal to RHS or not.
So,
6-1 ≠ 2
Put x = 2 and see LHS is equal to RHS or not.
So,
6-2 ≠ 2
Put x = 3 and see LHS is equal to RHS or not.
So,
6-3 ≠ 2
Put x = 4 and see LHS is equal to RHS or not.
So,
6-4=2
2 = 2
So, the solution of the given equation is x = 4.
Consider a population consisting of 600 individuals with unique IDs: 001, 002, . . . , 600. Use the following string of random digits to select a simple random sample of 5 individuals. List the IDs of the individuals selected for your sample.
7 2 8 1 2 1 8 7 6 4 4 2 1 2 1 5 9 3 7 8 7 8 0 3 5 4 7 2 1 6 5 9 6 8 5 1
Answer:
121 ; 442 ; 593; 547 ; 216
Step-by-step explanation:
Using the string of random digits given below :
7 2 8 1 2 1 8 7 6 4 4 2 1 2 1 5 9 3 7 8 7 8 0 3 5 4 7 2 1 6 5 9 6 8 5 1
Range of ID's : 001, 002, . . . , 600
Since, length of Unique ID = 3
and it does not exceed 600 ; we choose each consecutive 3 length string from the random digit given which does not exceed 600
7 2 8; 1 2 1; 8 7 6; 4 4 2; 1 2 1; 5 9 3; 7 8 7; 8 0 3; 5 4 7; 2 1 6; 5 9 6; 8 5 1
Stings which do no exceed 600:
121 ; 442 ; 593; 547 ; 216 ; 596
Randomly selected ID's could by any 3 digit string from the string data given which does not exceed 600
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Which ordered pairs are in the solution set of the system of linear inequalities?
y > Negative one-halfx
y < One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.
(5, –2), (3, 1), (–4, 2)
(5, –2), (3, –1), (4, –3)
(5, –2), (3, 1), (4, 2)(5, –2), (–3, 1), (4, 2)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
give me brainliest
Running out of time, Could i please get help
Answer:
D
Step-by-step explanation:
For an expansion (ax+b)^c the row that will help you is the c'th one
He is using the c'th row so look for something in the form (ax+b)^15
Only one that fits is D
BROOOOOOOOOOOOOOO HELPPPPPPPPP
If it costs £55 to buy 11 cushions, how much will it cost to buy 19?
Answer:
£95
Step-by-step explanation:
Cost of 11 cushions = £55
Unit cost of 1 cushion = 55/11 = £5 per cushion
Cost of buying 19 cushion = 19 × unit cost
= 19 × £5
= £95
Thus, it would cost £95 to buy 19 cushions
Step-by-step explanation:
11 cushions = £55
1 cushion = 55 ÷ 11
1 cushion = £5
19 cushions = £5 × 19
= £95
___________________FOLLOW ME
A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed. In 3 hours, they washed 12 cars. At that rate, how much money could they earn from washing cars for 9 hours?
The students will earn $180 by washing cars for 9 hours.
In 3 hours the students will earn...
$5 x 12 = $60
5 dollars x 12 cars = 60 dollars
So in 3 hours the group of students will earn $60
In 9 hours the students will earn...
$60 x 3 = $180
Since the students will earn $60 per every 3 hours, you multiply $60 with 3 because if you divide 9 hours by 3 hours you will get 3. The answer you get by multiplying 60 by 3 is 180. Therefore the students can earn $180 from washing cars.
I hope this helps!
Rachel jogged along the trail that was 1/4 of a mile long she jogged along the trail eight times how many miles did Richel jog
Answer:
Step-by-step explanation:
8 laps × (¼ mile)/lap = 2 miles
help me with this hard question if u get it right then...
Answer:
[tex]\frac{13\pi }{2}[/tex] cm^2
Step-by-step explanation:
im a highschool student but we are doing this stuff and this is how i learned it: calculate the area of the larger sector ([tex]\frac{64\pi }{6}[/tex]) and subtract the smaller sector([tex]\frac{25\pi }{6}[/tex]) from it to get [tex]\frac{39\pi }{6}[/tex] which can be simplified to [tex]\frac{13\pi }{2}[/tex].
Below is ISOSCELES trapezoid RSTV. Find the value of x, then
S
T
1170
R
(2x - 7)
v
X =
degrees
9514 1404 393
Answer:
∠S = 117°∠R = 63°x = 35Step-by-step explanation:
Because this is an isosceles trapezoid, you know right away that angle S is the same as angle T, so angle S = 117°.
In order to find x, we need to know angle R. Angle R is the supplement of angle S, so ...
angle R = 180° - angle S = 180° -117°
angle R = 63°
Knowing this, we can find x:
(2x -7)° = 63°
2x = 70 . . . . . . . . . divide by °, add 7
x = 35 . . . . . . . . . . divide by 2
_____
Additional comment
Of course, angle V = angle R = 63°. We give you all of the angles in addition to the value of x, because there are obviously different versions of this question. (Your text asks for angle S; the picture asks for angle R.)
Humpty Dumpty sat on a wall, admiring his new digital watch which displayed hours
15:21
and minutes only. He noticed that it was when Jack and Jill set up the hill, but that
when they later came tumbling down again his watch showed only 10:51. At that point
Humpty realised that he'd had his watch on upside down all the time! How long did Jack
and Jill take to go up the hill and down again?
hours
Dand
minutes
Answer:
The time was actually showing 15:01 so it takes them 20 minutes i think?
Which function is increasing and has a vertical asymptote at x = 5?
A. f(x) = -In x + 5
B. f(x)= - In (x – 5)
C. f(x) = ln(x – 5)
D. f(x) = ln x + 5
Need help on this please
Answer:
Step-by-step explanation:
Because this is a quadrilateral, all the angles added up together will equal 360 degrees. By the nature of the quadrilateral, opposite angles are supplementary. Therefore, 180 - 115 will equal angle K:
180 - 115 = 65 degrees
-6 x -9 x -2=
10 x − 1 /2=
-4 x -4=
5 x -4 x -3 x -2=
Help!!!
ooooo sorry i thought it was variables
Answer:
1) -6×-9×-2
-6×-9 = 54 b/c -×- = +
54×-2 -×+ = -
= -108
2) 10×-1/2
-10/2
= -5
3) -4×-4, -×- = +
16
4) 5×-4×-3×-2
5×-4 = -20
-3×-2 = 6
-20×6
-120
hope it's helpful ❤❤❤
THANK YOU.
The side lengths of a 30-60-90 triangle are in the ratio 1:13: 2. What is
tan 60°?
A
=============================================================
Work Shown:
Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.
For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit
tan(angle) = opposite/adjacent
tan(60) = sqrt(3)/1
tan(60) = sqrt(3)
Answer: tan 60° = √3
Step-by-step explanation: a p e x (screenshot proof)
Answer these for brainliest and 20 points
Answer:
1: y = 5, x = 2, 2: x = 3, y = 1, 3: y = 4, x = -1, 4: x = -1, y = -8/5, 5: y = 4, x = -14
Step-by-step explanation:
If you look closely, you can cancel some terms, and then you can substitute
Mazie counted 40 black cars, 20 silver cars and 30 black cars in the parking lot. What is the ratio of white cars to the other cars in simplest forms
Answer:
If I am not wrong you may have meant 40 black cars 20 silver cars and 30 white cars.
30:20+40
30:60
3:6
ANSWER-
3:6
Hope it Helps!!
Myrna wants to know about how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns.
3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2
The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?
Answer: Most students have 2 pairs of jeans.
Step-by-step explanation: Good luck! :D
Answer:
Most students have 2 pairs of jeans
Step-by-step explanation:
stay safe drink water eat take care of yourself ♡
Suppose that 10 years ago you bought a home for $130,000, paying 10% as a down payment, and financing the rest at 8% interest for 30 years.
Your existing mortgage (the one you got 10 years ago)
How much money did you pay as your down payment?
$13,000Correct
Submit Question Question 1
Correct Question 2
Check 1/1 pt Retries 2 Info Details
Score on last try: 1 of 1 pts. See Details for more.
You can retry this question below
How much money was your existing mortgage (loan) for?
$117,000Correct
Submit Question Question 2
Incorrect Question 3
Check 0/3 pts Info Details
Score on last try: 0 of 3 pts. See Details for more.
What is your current monthly payment on your existing mortgage?
$$343445$343445Incorrect
Note: Carry at least 4 decimal places during calculations.
Incorrect Question 4
Check 0/2 pts Info Details
Score on last try: 0 of 2 pts. See Details for more.
How much total interest will you pay over the life of the existing loan?
$$179,060$179,060Incorrect
Unattempted Question 5
Check 0/1 pt Retries 3 Info Details
This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $102,637 left to pay on your loan. Your house is now valued at $190,000.
Your current situation
How much of the original loan have you paid off? (i.e, how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)
$
Submit Question Question 5
Unattempted Question 6
Check 0/1 pt Retries 3 Info Details
How much money have you paid to the loan company so far (over the last 10 years)?
$
Note: the down payment is not included here, as it is paid directly to the seller
Submit Question Question 6
Unattempted Question 7
Check 0/1 pt Retries 3 Info Details
How much interest have you paid so far (over the last 10 years)?
$
Submit Question Question 7
Unattempted Question 8
Check 0/1 pt Retries 3 Info Details
How much equity do you have in your home (equity is value minus remaining debt)
$
Submit Question Question 8
Unattempted Question 9
Check 0/3 pts Retries 3 Info Details
Refinancing
Since interest rates have dropped, you consider refinancing your mortgage at a lower 6% rate.
If you took out a new 30 year mortgage at 6% for your remaining loan balance, what would your new monthly payments be?
$
Submit Question Question 9
Unattempted Question 10
Check 0/2 pts Retries 3 Info Details
How much interest will you pay over the life of the new loan?
$
Submit Question Question 10
Unattempted Question 11
Check 0/1 pt Retries 3 Info Details
Analyzing the refinance
Notice that if you refinance, you are going to be making payments on your home for another 30 years. In addition to the 10 years you've already been paying, that's 40 years total.
How much will you save each month because of the lower monthly payment?
$
Submit Question Question 11
Unattempted Question 12
Check 0/1 pt Retries 3 Info Details
How much total interest will you be paying (consider the interest you paid over the first 10 years of your original loan as well as interest on your refinanced loan)
$
Submit Question Question 12
Unattempted Question 13
Check 0/2 pts Retries 3 Info Details
Now the non-computational question: Does it make sense to refinance? (there isn't a correct answer to this question. Just give your opinion and your reason)
(Note: The computer can't auto-grade this part, so it will show a score of 0 until I manually grade it)
Submit Question Question 13
Answer:
Make this question individually!
Step-by-step explanation:
Please!
Multiply (2x+5)(4x^2-2x+3)
Answer:
8x^3+16x^2-4x+15
Step-by-step explanation:
Distribute and combine like terms.
Hope this helped :)
Classify the following triangle. Check all that apply.
9.8
120 5.2
200
40°
13.2
O A. equilateral
B. isosceles
C. right
D. acute
E. scalene
F. obtuse
h
Answer:
E and F
Step-by-step explanation:
✔️One of the angles of the triangle given has a measure that is above 90° (120°). An obtuse triangle triangle has an angle measure that is above 90°. Therefore, the triangle above is an obtuse triangle.
✔️All three angles and sides are of unequal measure, therefore, this can be referred to as a scalene triangle. A scalene triangle has 3 unequal angles.
Answer:
E F
Step-by-step explanation: