Answers
Answer:
a. 3.4m
b. 12.2m
Step-by-step explanation:
SOH CAH TOA
[tex]Sin QPS=\frac{Opposite}{hypotenuse}[/tex]
sin 15° = [tex]\frac{QS}{PQ}[/tex]
QS= sin 15° * PQ
QS = 0.2588 * 12.6 = 3.36088 ≈ 3.4m
a. The length of QS = 3.4m
b. [tex]cos QPS=\frac{Adjacent}{Hypotenuse}[/tex]
Cos 15° = [tex]\frac{PS}{PQ}[/tex]
PS = Cos 15° * PQ
PS = O.9659 * 12.6 = 12. 17034 ≈ 12.2m
The length of PS = 12.2m
Related Questions
What is 1 3 fourths x 8?
Answers
Answer:
14
Step-by-step explanation:
1 3 fourths is 7/4
(7/4)*8
4 cancels out with 8
2*7=14
1 3 fourths = 1 3/4 = 7/4
=》 7/4 × 8 (cancel out 4 & 8)
=》 7 × 2 (multiply them)
=》 14
____
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
The angles in a quadrilateral ABCD are A(3x+10), B(3x+4), C(x+50) and D(5x+8). Find the angles of the quadrilateral ABCD
please answer it fast..thank u
Answers
Answer:
A 8º
B 76º
C 74º
D 128º
Step-by-step explanation:
The sum of the angles is 360
(3x + 10) + (3x + 4) + (x + 50) + (5x + 8) = 360
Combine like terms
12x + 72 = 360
Subtract 72 from both sides
12x = 288
Divide both sides by 12
x = 24
--------------
A (3x+10) = 3*24 + 10 = 82
B (3x+4) = 3*24 + 4 = 76
C (x+50) = 24 + 50 = 74
D (5x+8) = 5*24 + 8 = 128
Last person got it wrong so, give it a try? At the beginning of the year, Sam weighs 57 pounds. During the year, he loses 4 pounds and then gains 9 pounds. What is Sam's weight now? Also, its not 64 so, dont tell me 64 thx
Answers
Answer:
62 Pounds
Step-by-step explanation:
Sam weighs 57 pounds
he loses 4 pounds So he has 53 pounds now
then gains 9 pounds
53 + 9 = 62
Therefore Sam weighs 62 pounds
20% tip on a bill of $111.82
Answers
Answer: about 22.364 or 22.365, I depends on how you to round it
Step-by-step explanation: 0.2*111.82
Answer:
22.364
Step-by-step explanation:
11.82x0.2=22.364
solve pls brainliest
Answers
a
distance is -8
b
-7 - 1 = -8
1 - (-7) = 8
c
l-7 - 1l = 8
l 1 - (-7)l = 8
hope this helps
what is the value of X and what is the value of Y
PLEASE HURRY
Answers
The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.
a poultry farmer sold 1/2 of his eggs and ate 1/3 of the remainder if he has 400 left how many eggs had he originally
Answers
Answer:
2400 eggs
Step-by-step explanation:
1. To find out how many eggs the poultry farmer had originally, we have to reverse the steps of him selling and eating this eggs.
This means to basically multiply 400 by the reciprocal (inverse) of 1/2 and 1/3.2. (Solving)
[tex](2)(3)(400)[/tex] [tex](6)(400)[/tex] [tex]2400[/tex]Therefore, he had 2400 eggs originally.
F(1)=2, f(n)= f(n-1)+7
Plsss help
Answers
Answer:
6
5
2
3
1
4
5
6
7
8
9
10
11
12
13
15
16
17
18
19
20
question 9, literally almost done
Answers
Answer:
A 4
Step-by-step explanation:
2(3)=6-2=4
Answer:
D. 8
Step-by-step explanation:
f(3) = 2·3 - 2 = 4
2·f(3) = 2·4 = 8
-x+3y=0
x+3y=12
System of linear equation by elimination
Answers
Answer:
x=6
y=2
Step-by-step explanation:
-x+3y=0 (1)
x+3y=12 (2)
(1)+(2)<=> 6y=12
WILL MARK BRAINLY
The graph of g(x)=x^2+2x is translated by 4 units to the left. which of the following gives the equation of the new graph?
x^2 + 10x + 24
x^2 + 2x + 4
x^2 + 2x - 4
x^2 - 6x + 8
Answers
Answer:
X^2 + 10x +24
Step-by-step explanation:
I hope this helps!
A 250-foot length of fence is placed around a three-sided animal pen.
Two of the sides of the pen are 100 feet long each. Does the fence
form a right triangle? Prove that your answer is correct.
Answers
Step-by-step explanation:
no it does not form a right triangle.
a+b+c = 250
1002 + 502 does not equal 1002
nor 1002 + 1002 does not equal 502
so therefore the sides are 100, 100, and 50 but these do not make a right triangle
5.3h + 3 = 18.8
A. 2.98
B. 4.11
C. -4.11
D. -2.98
Answers
Answer:
If you're trying to find h, then the answer is A.
Step-by-step explanation:
5.3 x 2.98 = 15.79, which rounds up to 15.8.
15.8 + 3 = 18.8
Answer:
A. 2.98
Step-by-step explanation:
When you substitute h for the answers shown, you get different numbers.
When you substitute h for 2.98 you are given 15.794
15.794 + 3 is 18.794
Rounding 18.794 to the next tenth is 18.8
Answer: A. 2.98
Triangles ABD and XYZ are similar .Find the length of the segment XZ.
Answers
Answer: 2.4
Step-by-step explanation:
Because they are similar, the lengths of the sides will have the same ratio.
We will use side AB and side XY since it shows both sides.
This shows that the ratio is 3:4
We can then use that to find out that XZ also uses the ratio 3:4
3.2 / 4 = 0.8
0.8 * 3 = 2.4
XY is equal to 2.4
How much would it cost to build 10 houses if it costs 7 500 000 per house.
Answers
Answer:
75 000 000
Step-by-step explanation:
7 500 000 times 10 = 75 000 000
pls help me with this:((((((
Answers
Answer: Multiple answers
Step-by-step explanation:
Answer: Multiple answers
Step-by-step explanation:
P.E.M.D.A.S (order of operations)
Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (From left to right)
M=Multiplication
D=Division
Multiplication is done before division.
So, multiply 1.21*2 for the first problem, and 1.20*2 for the other 2 problems.
1.
24/(1.21)2 becomes 24/2.42
24/2.42= 9.9173553719 (or 9.92 rounded, or 9.9)
2.
29/(1.20)2 becomes 29/2.4
29/2.4= 12.0833333333 (or 12.08 rounded, or 12.1)
3.
40/(1.20)2 becomes 40/2.4
40/2.4= 16.6666666667 (or 16.7 rounded)
I am not sure if you have to round your answers up, so I provided those answers as well in case.
Hope this helps!
Evaluate the formula z=
p−p
pq
n when p=
537
1851, n=1851, p=0.30, and q=1−p
Answers
Work Shown:
[tex]z = \frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\\\\\\z = \frac{\frac{537}{1851}-0.30}{\sqrt{\frac{0.30*(1-0.30)}{1851}}}\\\\\\z \approx \frac{0.290113-0.30}{\sqrt{\frac{0.21}{1851}}}\\\\\\z \approx \frac{-0.009887}{\sqrt{0.000113}}\\\\\\z \approx \frac{-0.009887}{0.010630}\\\\\\z \approx -0.93010348071496\\\\\\z \approx -0.93\\\\\\[/tex]
Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
Step-by-step explanation:
4x² + 20x + 25 = (2x)² + 2* 2x *5 + 5²
{Compare with a² + 2ab + b² = (a+ b)²}
= (2x + 5)²
= (2x +5)*(2x+5)
Side of the square = 2x+ 5
Answer:
Part A is (2x+5)^2. Part B is (2x+3y)(2x-3y).
Step-by-step explanation:
Part A: The polynomial is prime. When you split the middle term, it becomes 4x^2+10x+10x+25. Then rewrite using the common factor from the two pairs. 2x(2x+5)+5(2x+5). Rewrite in factored form, which is (2x+5)(2x+5). Then combine which is, (2x+5)^2. The length of each side is (2x+5)^2.
Part B: The polynomial is prime. Rewrite 4x^2 as (2x)^2 and 9y^2 as (3y)^2, which looks like (2x)^2-(3y)^2. Both terms are perfect squares. The answer is (2x+3y)(2x-3y).
ten times the reciprocal of a number equals 5 times the reciprocal of 3
Answers
The reciprocal of a whole number is a fraction with the whole number as the denominator.
Set up the equation:
10 * 1/x = 5 * 1/3
Simplify:
10/x = 5/3
Multiply both sides by 3:
30/x = 5
multiply both sides by x:
30 = 5x
Divide both sides by 5:
x = 6
Answer: 6
Write 15 as a product of primes.
Answers
Answer:
15 is a composite number. 15 = 1 x 15 or 3 x 5. Factors of 15: 1, 3, 5, 15. Prime factorization: 15 = 3 x 5
Step-by-step explanation:
Answer:
15= 3 x 5
Step-by-step explanation:
15
/ /
5 x 3
3 and 5 both multiply together to make 15
How to Solve 3x = 18?
Answers
Step-by-step explanation:
devide both sides on 3 and x=6
as u can see 3*6=18
u have to find a number hat when its multiplied on 3 equals 18
so x(the number were searching for) is 6
Answer:
x = 6
Step-by-step explanation:
1. Divide Both Sides By The Coefficient
18/3 = 3x/3
6 = x
2. Move the variable to the Left
x = 6
Topic: Mathematics 8, Pre-Algebraic Skills
PLEASE PLEASE ANSWER
Answers
Answer:
Step-by-step explanation:
So the sum of 128 and x+10 is on a straight line which is 180º right?, so:
x + 10 + 128 = 180
x = 180 - 128 - 10
x = 42º
Answer:
42
Step-by-step explanation:
x +10 +128 = 180 {Linear pair}
x + 138 = 180
x = 180 - 138
x = 42
Describe the order of operations you would use to
evaluate 8 +
4(32)
"The first step is to…then..finally
Answers
9
Then we do the multiplication: 4 * 9 = 36
Finally we add
8 + 36 = 44
Aliza plays basketball every Tuesday and
Thursday. She practices piano every other
day. If June started on a Monday, and if
Aliza played piano that day, on how many
days did she both play basketball and practice piano in June (which has 30 days)?
A. 2 days
B. 4 days
C. 5 days
D. 7 days
Answers
Answer:
4 days
Step-by-step explanation:
June starts on Monday
for 30days we have 4 weeks starting from Monday to Sunday and extra 2 days which are Monday and Tuesday
so we have 5 mondays and tuesdays
4 wed, thu, fri, sat, sun
Aliza played piano on june1 monday
So aliza played basketball on 5 tues + 4 thurs = 9 days
for calculating both basketball and paino
piano day should be on tuesday or thursday
from the below picture u can see pink dots are piano days
and yellow circles are both piano and basketball days
so on alternate weeks they are coinciding
so there are 4 days
Lorreen sells 18 adult tickets, 23 student tickets, and 10 discount tickets for the school play. Write the ratio student tickets to adult tickets in three ways.
Answers
Answer:
23:18,23 to 18,23/18
Step-by-step explanation:
the three ways to write a ratio are colon,the word to, and the divide symbol .
The first four terms of a sequence are 5,-3,-11,-19. Which of the following is an equation for the nth term of the sequence?
an=8n−3A sub n is equal to 8 n minus 3
an=n−4A sub n is equal to n minus 4
an=−8n+13A sub n is equal to negative 8 n plus 13
an=−8n−8
Answers
Answer:
Step-by-step explanation:
-3-5=-8
-11-(-3)=-11+3=-8
-19-(-11)=-19+11=-8
it is an A.P. and c.d.=-8
so nth term is
an=a1+(n-1)d
an=5-(n-1)(-8)
an=5+8n-8
an=8n-3
Andrew shovels snow for 4 %2 hours and makes
$27. How much did he make per hour?
And how much does he earn in 8 hours?
Answers
if john can cover 360 miles in 3 hours find the number of mile covered by john in 1 minute
Answers
Answer:
John can cover 2 miles in 1 minute
Step-by-step explanation:
There are 180 minutes in 3 hours. So 360 ÷ 180 = 2
Enjoy your day! ( ･U･)♡
help me now right now because i ran out of skips
Answers
Answer:
no question
Step-by-step explanation:
sorry I cant help there's no question
Answer:
Help with what?
Step-by-step explanation:
There is no question.
tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up
Answers
Answer:
your so funny for a annoying kid
Step-by-step explanation:
A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?
