Answer:
y - 5 = -¹/₃(x - 6)Step-by-step explanation:
Slope intercept form: y - y₁ = m(x - x₁)
m = -¹/₃
(6, 5) ⇒ x₁ = 6, y₁ = 5
The equation:
y - 5 = -¹/₃(x - 6)
A rectangle swimming pool is measured up to 15 meters long and 7 1 fourth meters wide what is the area of this swiming pool
Answer:
108.75 m^2
Step-by-step explanation:
Area of a rectangle = length x breadth
15 x 7 1/4
15 x 29 / 4 = 108.75 m^2 or 108 3/4 m^2
Which statements are true about the x-intercepts of quadratic functions?
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
If x = 0 is an x-intercept of a quadratic function, then (x + a) is a factor of the function.
Answer:
Step-by-step explanation:
The following statements are true:
1. A quadratic function can have up to two x-intercepts.
2. An x-intercept of a quadratic function is also called a zero of the function
What is the volume of the composite figure?
Answer:
It's 372 in³
Step-by-step explanation:
A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³
A and b are positive integers and a-b=2. Evaluate the following:
27^1/3b/9^1/2a
thank you very much
Answer:
Answer: 1/9
Step-by-step explanation:
(27^1/3 = 3
9^1/2 = 3
3^b
====
3^a
3^(b - a)
3^-2 = 1/9
1/9
A toy company uses the box shown below to package wooden cubes. Each wooden cube has a volume of 1 8cubic foot. In total, how many wooden cubes will fit in the box.
Answer:
240 cubes
Step-by-step explanation:
A toy company uses the Box shown below to package wooden cubes each wooden Cube has a volume of 1/8 cubic feet in total how many wooden cubes will fit in the Box
Volume of the box = length × width × height
= 5 ft × 3 ft × 2 ft
= 30 ft³
Volume of wooden cube = 1/8 ft³
how many wooden cubes will fit in the box.
Number of wooden cubes that will fit in the box = volume of the box ÷ volume of the wooden cube
= 30 ft³ ÷ 1/8 ft³
= 30 × 8/1
= 240 cubes
Number of wooden cubes that will fit in the box = 240 cubes
Which rule defines S, for an = 3(0.7)n?
Sn=7(0.7n)
Sn = 2.1(0.7n)
Sn= 7(1-0.7n)
Sn= 2.1(1-0.7n)
Answer: C
Sn= 7(1-0.7n)
Step-by-step explanation:
The rule that defines S for [tex]a_n = 3(0.7)^n[/tex] is:
[tex]S_n = 7(1 - 0.7^n)[/tex]
The rule of S means that we calculate the rule that defines the sum of n terms of the geometric progression.
Given that:
[tex]a_n = 3(0.7)^n[/tex]
Rewrite as:
[tex]a_n = 3 (0.7)^n \times 1[/tex]
Replace 1 with 0.7/0.7
[tex]a_n = 3 (0.7)^n \times \frac{0.7}{0.7}[/tex]
Rewrite as:
[tex]a_n = 3 *0.7 \times \frac{(0.7)^n}{0.7}[/tex]
Apply law of indices
[tex]a_n = 3 \times 0.7 \times (0.7)^{n-1}[/tex]
[tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]
The n term of a geometric progression is:
[tex]a_n = ar^{n-1}[/tex]
Compare [tex]a_n = ar^{n-1}[/tex] to [tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]
[tex]a = 2.1[/tex] --- the first term
[tex]r = 0.7[/tex]
The sum of n terms of a geometric progression is:
[tex]S_n = \frac{a(1 - r^n)}{1 -r}[/tex]
This gives:
[tex]S_n = \frac{2.1(1 - 0.7^n)}{1 -0.7}[/tex]
[tex]S_n = \frac{2.1(1 - 0.7^n)}{0.3}[/tex]
[tex]S_n = 7(1 - 0.7^n)[/tex]
Learn more about the sum of geometric progression at:
https://brainly.com/question/22068689
what is the input of arccos
Answer:
It returns the angle whose cosine is a given number.
Step-by-step explanation:
For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"
cos30 = 0.866 Means: The cosine of 30 degrees is 0.866
arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.
Use arccos when you know the cosine of an angle and want to know the actual angle.
Find the volume of the cylinder.
Answer:
[tex]1205.8 \: {in}^{3} [/tex]
Step-by-step explanation:
For given cylinder:
Radius (r) = 4 in
Height (h) = 24 in
[tex]V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3} [/tex]
Can anyone help me please
I’ll mark you as a brainliest.
NO LINKS
In ΔQRS, the measure of ∠S=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
57.6°
Step-by-step explanation:
It is always helpful to draw a picture. Also, you need to memorize all the definitions of the trig functions. For example,
sine of an angle = opposite side/hypotenuse
In your case, SQ is opposite side to angle R and QR is the hypotenuse
Therefore, sin R = 6.5/7.7
m∠R = arcsin (6.5/7.7) = 57.6°
Order these numbers from least to greatest. 7.63, 7.6032, 7.6,
Answer:
7.6032,7.63,7.6
Sorry if I am wrong.
Step-by-step explanation:
Find the area of a square if its side length is 3/7 units
NO LINKS PLEASE
Answer:
A=a2
Step-by-step explanation:
6. Mrs. Sam buys pencils for $15 per one hundred packs.
a. If she sells them to her students for 10 cents each, what is her profit/loss?
b. If she sells them to her students for 25 cents each, what is her profit/loss?
c. What price should she sell them at to not make or lose any money?
Answer:
a.) her loss is 5 dollars
b.) her profit is 10 dollars
c.) she should sell them for $0.15
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
It is correct!!
Step-by-step explanation:
Confused!! The picture below shows the question.
Answer:
25
Step-by-step explanation:
What is the probability that the spinner will not land on a 5 or 8? 5 points
Answer:
3/4
Step-by-step explanation:
Based on the spinner attached :
Faces are in equal divisions ; number of faces = 8
Probability the spinner will not land on a certain number = 1 - P(spinner lands on that number)
P(spinner lands on 5) = 1 /8
P(spinner will not land on 5) = 1 - 1/8 = 7/8
P(spinner lands on 8) = 1/8
P(spinner will not land on 8) = 1 - 1/8 = 7/8
Hence,
P(spinner will not land on 5 or 8)
Required outcome = (1, 2, 3, 4, 6, 7) = 6
Total possible outcomes = (1.2, 3, 4, 5, 6, 7, 8) = 8
P(spinner will not land on 5 or 8). = 6/8 = 3/4
Please help me out I’ll mark brainliesttttt
Answer:
x = 4
Step-by-step explanation:
Since the triangle is 45-90-45, x = 4.
Answer:
4 is the answer
Step-by-step explanation:
By Pythagorean theorem
hypotenuse^2=base^2+altitude^2
(4sqrt2)^2=(4)^2+x^2
32=16+x^2
32-16=x^2
16=x^2
taking square root on both sides
x=4
A man wants to build around water fountain with diameter, d = 11.28 feet. The man is trying to put up a fence around the build with some wire. What is the length of the wire that the man needs to complete the task?
Answer:
35.44
Step-by-step explanation:
2 times pi times radius.
What is the area of the triangle?
5
3
units?
Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence. What will Leo's balance be after 9 months?
whats the solutions to these using substitution method pls show ur work
help me please I need helpp
Answer:
172.8 = 32 x 5.40
Step-by-step explanation:
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
p-3=8.25
p=11.25
Answer:
p - 3 = 8.25 and 11.25
Step-by-step explanation:
hi there!
the question is asking us to first find out which equation we can use to solve this wordy problem.
its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.
knowing that now, our answer is p - 3 = 8.25 or 4 !
now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it
3 + 8.25
= 11.25
p = 11.25 <---------------- our final answer!
i hope this helped you! i hope you have a good rest of your day :)
( im sorry if this this late!! )
write the expression in standard form
2x-(5+4x)
Answer:
- 2x - 5
Step-by-step explanation:
2x - (5 + 4x)
2x - 5 - 4x
- 2x - 5
Answer: The answer is -2x - 5
Step-by-step explanation:
Sin(x)=sqrt3/2 solutions of
Answer:
pi/3+2pin, 2pi/3+2pi(n)
Answer:
the next one is c - pi/2
Step-by-step explanation:
Anton leaves a cup of hot chocolate on the counter in his kitchen. Which graph is the best representation of the change in temperature of his hot chocolate over time?
Answer:
Step-by-step explanation:
May I please see the graph?
Melissa works at Best Buy and gets paid $250 a week plus
commission. She earns $15 for every cell phone she sales.
Which function can be used to find t, the amount of money
Melissa will receive on her weekly paycheck for selling n
number of cell phones?
A.
t=250x + 15
C. t = 15x
B.
t = 15x + 250
D. Not Here
Answer:
option b is correct
I hope it helps
Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Can you guys help me find the missing parts where the letters are
Answer:
I’m going in the order form up to down
1) Total cost is $15.60 (you multiply the unit rate by the quantity to find the total cost)
2) Unit rate is $13.20 (You divide the total by the quantity to find the unit rate)
3) Quantity is 6 (You divide the total by the unit rate to find the amount of things or quantity)
4) 12 percent tax rate (We can make an eqaution to find out how much you multiply thr total to find the tax rate by doing 82.5x=9.9. THe result would be 0.12 or 12 percent)
Spider Rock is located in Canyon de Chelly National Park in Arizona. A surveyor stands 370 feet from the base of Spider Rock. From a point 5.5 feet above the ground, he measures the angle of elevation to the top of Spider Rock to be 65°. According to the surveyor's measurements, what is the height of Spider Rock? Round your answer to the nearest tenth. A. 178.0 ft. B. 340.8 ft. C. 413.7 ft. D. 799.0 ft.
Answer:
799 feet
Step-by-step explanation:
We solve using the Trigonometric function of Tangent.
tan theta = Opposite /Adjacent
From the above question, we have the height of the surveyor = 5.5 feet
theta = Angle of elevation = 65°
Adjacent = 370 feet
Let Opposite = height + height of spider rock
tan 65° = h - 5.5 /370 feet
Cross Multiply
tan 65° × 370 feet = h - 5.5
793.46756059 feet = h - 5.5
h = 793.46756059 feet + 5.5
h = 798.96756059 feet
Approximately = 799 feet
The height of the Spider rock = 799 feet