Answer:
21.38
Step-by-step explanation:
Find the diagram attached
In order to get PS, we need to get the length of QS first
According to triangle QRS;
QS =opposite
QR = 39(adjacent)
Using SOH CAH TOA
Tan theta = opp/adj
Tan 28 = QS/39
QS = 39tan28
QS = 39(0.5317)
QS = 20.74
Get PS
sin theta = QS/PS
sin 76 = 20.74/PS
PS = 20.74/sin76
PS = 20.74/0.9703
PS = 21.38
Hence the length of PS is 21.38
What is the probability that Jenna buys exactly 3 bananas
Answer:
I can see black screen no photo for answering.
list all of the possible outcomes for randomly picking a number 1-5 and then flipping a coin
Answer:
1-5
outcomes:1,2,3,4,5.
coin
outcomes: heads and tails.
Step-by-step explanation:
Im sure this is self-explanitory
The size of a school increased so that it had 750 pupils instead of 680 and
38 teachers instead of 37. Find the percentage increases in the number of teachers
and pupils. Comment on your answers.
Step-by-step explanation:
% increase in the no of pupils = {(750-680)/680} × 100 = 10.3%
% increase in the no of teachers = {(38-37)/37} × 100 = 2.7%
Of the students at Fillmore Middle
School, 0.5625 are bused to school.
Which percent is equivalent to 0.5625?
Answer:
56.25%
Step-by-step explanation:
Write an expression to represent Royce's weight if she is three pounds more than twice Ted's weight. If Ted weighs 30 pounds, how much does Royce weigh?
Answer: 63 pounds
Step-by-step explanation:
Given
Royce's weight is 3 pounds more than twice ted's weight
The weight of ted is 30 pounds
So, the weight of Royce is [tex]2\times 30+3[/tex] pounds i.e. [tex]63[/tex] pounds
Suppose, if the weight of Ted is x then, the weight of Royce is [tex]2x+3[/tex]
!!!PLEASE HELPP ME!!
Answer:
negative :)
Step-by-step explanation:
hope this helps
Answer:
its c
Step-by-step explanation:
3. Find all real 4th roots of 81?
Answer:
Step-by-step explanation:
81^(1/4)=3
49. When a store releases a new cell phone to customers, it expects its sales to decrease by 5% each month after the initial month. If the store sells 682 of a particular phone the first month, which exponential function models this situation x months after the initial month?
A f(x) = 682 • 1.05^x
B f(x) = 682 • 0.05^x
C f(x) = 682 • 0.95^x
D f(x) = 682 • 1.95^x
Answer:
C) f(x)= 682 • 0.95^x
Step-by-step explanation:
The formula for Exponential Decrease is given as:
y = a(1 - r)^x
Where
y = f(x)
a = Initial size of the population = 682
r = Growth rate = 5% = 0.05
x = Time is years
Therefore, our equation can be written as:
f(x) = 682 × (1 - 0.05)^x
f(x) = 682 × (0.95)^x
Therefore, the exponential function that models this situation x months after the initial month is
option C)
f(x) = 682 • 0.95^x
What is the fraction for 4.675?
Answer:
187/40
Step-by-step explanation:
have a nice day!
The fraction for 4.675 is 187/40 or 4 27/40
A rectangle has a length of 2 m and a width of 40 cm what is the perimeter of the rectangle ( show your work)
Answer:
0.05 im pretty sure to my calcutor
Step-by-step explanation:
3. What is the degree of each of the following polynomials?
a 25x3 + 12x2 -
b. 81 - a + 5a3
c. 95 +23y4 - 9113 +68y2 + 28y - 100
d. 126 – 86² +63
Answer:
I do believe the degree would be the exponents so for a I'm going to say 3 and 2.
Step-by-step explanation:
for b I'm going to say 3 for c I'm saying 4 and 2 and for d I'm going to say 2. I'm am rlly srry if this doesn't help or if it is wrong but I am hoping that it is right.
Please help ty!
You need to hire a company to clean your house. Klean company has a fixed cost of $20 and charges $25/hour.
Dustbuster cleaning services, charges $35 per
hour.
a) Write the equations for both companies to calculate the cost of cleaning your house. Include "let" statements.
Answer:
Klean company = 20 + 25h
Dustbuster cleaning services = 35h
Step-by-step explanation:
Let
Number of hours = h
Equation to calculate the cost of cleaning your house
Klean company = 20 + 25h
Dustbuster cleaning services = 35h
Find the number of hours when the cost of cleaning house by both companies will be equal
Klean company = Dustbuster cleaning services
20 + 25h = 35h
20 = 35h - 25h
20 = 10h
h = 20/10
h = 2 hours
Number of hours = h = 2 hours
Can someone help me out my grades are bad
Answer:
3/2 or 1.5
Step-by-step explanation:
trust me
can someone help me lol
Step-by-step explanation:
your basically finding the area witch is b*h so for 3.(im not really sure so don't fully trust me on three lol) 6×8=48mm
then on 4. it's 10×13=130mi
Please help I’m so lost .
Answer:
12.55
Step-by-step explanation:
Add them so its 12.55
Answer:12.55
Step-by-step explanation:
All you have to do is add 0.25 +12.3
to get 12.55
hope this helps!
At one school, the ratio of boys to girls in the seventh
grade is 12:11. There are 66 girls in the seventh grade.
How many boys are there?
Answer:
72
Step-by-step explanation:
It’s just the answer my teacher gave it to me lol
Find the area of this figure. Round to the hundredths place.
Answer:
30.5
Step-by-step explanation:
the answer is 30.5
Enter a positive common factor (other than 1) of the fraction's numerator and denominator. 10/12
The dimentionsof the rectangular prisim shown are given im centameters what is the volume of the prism
Complete question :
The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2. 25 cm.
What is the volume of the prism?
A. 0.75 cm
B. 1.6875 cm
C. 3.375 cm
D. 4.25 cm
Answer:
1.6875 cm³
Step-by-step explanation:
Given the dimension :
1.5 cm by 0.5 cm by 2.25 cm
The volume of a rectangular prism is given by :
Volume = Length * width * height
Volume, V = 1.5cm * 0.5cm * 2.25cm
Volume of prism = 1.6875 cm³
Hence, the volume of the rectangular prism is 1.6875 cm³
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 8 x − 23 ) ∘ ∠A=(8x−23) ∘ and m ∠ B = ( 7 x − 7 ) ∘ ∠B=(7x−7) ∘ , then find the measure of ∠ A ∠A
Answer:
Step-by-step explanation:
angle A+angle B=90 degree
8x-23+7x-7=90
15x-30=90
15x=90+30
x=120/15
x=8
substitute the value of x in angle A
8x-23
8*8-23
64-23
41 therefore angle A=41 degree
Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges. Which system of equations represents this situation? A $~3x+4y=4.75~$ $~5x+2y=4.25~$ B 3x+4y=4.25 5x+2y=4.75 C 4x+3y=4.75 2x+5y=4.25 D 4x+3y=4.25 2x+5y=4.75
Answer:
B
Step-by-step explanation:
For the given situation, system of equations is represented by
3x + 4y = 4.25
5x + 2y = 4.75
What is system of equations?"A system of equations is a finite set of equations for which we find the common solution."
According to question,
x represents number of apples
y represents number of oranges.
Two situations are given for which we need to find out which system of equations it represents.
Situation 1 : Thomas paid $4.25 for the three apples and four oranges , which can be represented by equation:
3x + 4y = 4.25
Situation 2: Casey paid $4.75 for five apples and two oranges, which can be represented by equation:
5x + 2y = 4.75
Hence we can conclude that Option B is correct.
Learn more about system of equations here
https://brainly.com/question/23291897
#SPJ2
The picture shows
the layout of a
regular triangular
pyramid. Calculate
how many square
centimeters of paper
are needed to make
this pyramid. Provide
the answer to the
nearest square
centimeter.
Answers:
a) 693 sq cm (approximate)b) 48 sq cm (exact)============================================================
Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
----------------------------
Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
Please help!
Three days a week after school, Sarah runs 2.2 miles each day. This week, Robert ran of the total d that Sarah ran. Also this week, Brooke ran 110% of the total distance that Sarah ran. What is the mea distance that each person ran this week?
A. 1.308 miles
B. 3.925 miles
C 5.995 miles
D. 17.985 miles
Answer:
c
Step-by-step explanation:
cvvvbbnh
A FedEx truck has three cargo trailers attached to the back of the cab. If each trailer is 20 feet by 7 feet by 8 feet, how much capacity does the triple trailer have?
Answer:
3360ft^3
Step-by-step explanation:
Volume of each trailer = 20ft * 7ft *8ft
Volume of each trailer = 140*8
Volume of each trailer = 1120ft^3
Since there are 3 of such cargo;
Capacity of the trailer =3(1120)
Capacity of the trailer = 3360ft^3
Hence the capacity of the trailer is 3360ft^3
Which of the following is a prime number?
OA) 19
OB) 26
OC) 48
OD) 52
Answer:
A) 19
Step-by-step explanation:
prime number: Any whole number which is greater than 1 and has only two factors that is 1 and the number itself
A) 19 => 1 × 19 correct
B) 26 => 1 × 26, 2 × 13 incorrect
C) 48 => 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8 incorrect
D) 52 => 1 × 52, 2 × 26, 4 × 13 incorrect
least common multiple for (x+3)^2(x-2) and (x+3)(x^2-16)
[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]
Step-by-step explanation:
[tex] {(x + 3)}^{2} (x - 2) \: \: \: (x + 3)( {x}^{2} - 16)[/tex]
The first one can be kept in that form while the second can be factored as
[tex](x + 3)(x + 4)(x - 4)[/tex]
so we can see that the LCM is
[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]
how do you find tax paid
Answer:
You can pay your personal and business taxes to the Canada Revenue Agency (CRA) through your financial institution's online banking app or website. Most financial institutions also let you set up a payment to be made on a future date.
Step-by-step explanation:
step by step
Answer:
Step-by-step explanation:
150000 +11000++43000+20+40=204,060
Find the sum of the 1st 100 terms: 100+98+96+....
Answer:
First we Check if its an AP or GP
Its an AP because the Second term Minus the First term is = to 3rd term Minus Second term
Since it said "Sum"
The formula we should think Of is
Sn = n/2[2a + (n-1)d]
n=100
a(First term) =100
Common difference 'd' = Second term - First term or Third term - Second term
So
d= 98-100 or 96-98
d=-2.
Applying the Formula...
Sn = 100/2 [2(100) + (100-1)(2)]
Sn = 50[200 + (99)(2)]
Sn= 50[200 + 198]
Sn = 50[398]
Sn = 19,900.
In a race, the mean time for three runners was 12.4 seconds and the mean
time for another six runners was 11.5 seconds. Calculate the mean time for
all the nine runners
Answer:
11.8
Step-by-step explanation:
3(12.4) + 6(11.5) = 37.2 + 69 = 106.2
106.2/9 = 11.8
An angle measures 36º. What is the measure of its supplement?
Answer:
144° is the correct answer
sumpplement (angles that adds up to 180°)
: 180°-36°=144°