9514 1404 393
Answer:
x = √(25 -y²)x = 5cos(Ф)Step-by-step explanation:
The Pythagorean theorem relates the sides of a right triangle.
x² + y² = 5²
x² = 25 -y²
x = √(25 -y²)
__
The cosine function relates the adjacent side and the hypotenuse of an acute angle in a right triangle.
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos
x = 5·cos(Ф)
solve equation
6x−5y=15
x=y+3
Answer:
6x-5y=15
6x=15+5y
x=15+5y÷6
x=y+15.8
Aaron's bedroom is in the shape of a rectangular prism. The bedroom measures 10 feet by 14 feet by 8 feet. How many cubic feet of space does the room contain?
The formula for the area of a rectangular room is width x length, as shown in the figure below: This is the equation used in our square footage calculator as well.
Maria has a jewelry box and wants to increase its size. She finds one with four times the length, width, and height. How many times bigger will the volume of the box be?
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
A cheery tree is 6 feet tall. A palm is 3 times as tall as the cherry tree. Which model represents this problum
Answer: Bottom left
Step-by-step explanation:
Answer:
Bottom Left
Step-by-step explanation:
Im near 100% sure if im wrong im very sorry
20. Martin sells used cars.
He earns $12.50 per hour, plus 3% commission on
any cars he sells.
On Monday, he worked 6.5 hours and sold a car for
$9,000.
How much money did Martin earn on Monday?
A. $351.25 B. $282.50 C. $243.75
Answer:
The short answer is that most car salespeople don't earn a whole hell of a lot of money. Dealership salespeople average about 10 car sales per month, and earn an average of about $40k per year. If you do the math, that's about $330 per car.
Step-by-step explanation:
Answer:
You should prob add then multiply
Step-by-step explanation:
i'm sorry if you don't understand !BRB when i get the answer(Let's hope i don't forget.
4. Your best friend's birthday is tomorrow, and you would like to give her an ice cream cone
balloon. The spherical shaped ice cream on top of the cone has a radius of 6 inches. The cone
itself has a diameter of 12 inches and height of 24 inches. How many cubic inches of helium are
nded to fill the entire ice cream cone balloon? Use 3.14 for it.
Answer:
1808.64 IN^3
Step-by-step explanation:
Helium needed = volume of spherical shaped ice cream + volume of cone
Volume of a sphere = 4/3 x pi x r^3
4/3 x 3.14 x 6^3 = 904.32 ft^3
Volume of a cone 1/3 x (nr^2h)
n = 22/7
r = radius = 12/2 = 6
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
h = height
1/3 x 3.14 x 6^2 x 24 = 904.32
helium needed = 2 x 904.32 = 1808.64 in^3
help meeee im failing pls show your work
Answer:
63298
Step-by-step explanation:
When you divide by a fraction, you have to flip the fraction and change the sign into multiplication. This means that it will be 632.98x100. We move the dot two ways to the right and get 63298.
If this answer has helped you please mark as brainliest
Answer:
632.98 ÷ 1/100
Step-by-step explanation:
R:
Calculate the value
632.98 ÷ 1/100
31649/50 ÷ 1/100
31649/50 × 100/1
63298
I hope I've helped :)
Use the figure to answer the question. 8 8 What is the area of the shaded region of the circle in terms of a? Enter the answer in the box. The area of the shaded region is f units squared.
Answer:
48pi
Step-by-step explanation:
pi x 8² - pi x 4²
64pi - 16pi
48pi
Please help with algebra 2 I took a pic , I have 6 questions n need proof of work
Please answer the question question correctly with factual information for brainliest.
Answer:
A
Step-by-step explanation:
Which choice represents the fraction below as a single exponential
expression?
73
79
Answer:
C.
Step-by-step explanation:
use the division rule of exponents. 7 is your base and exponents is going to be 3 - 9 which is -6
fill in the missing values in the table below. Be sure to show work on how u found each r, d or C.
The complete table is attached below.
Use the concept of a circle defined as:
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
For wagon wheel:
Diameter = 3 ft
Since radius = diameter/2
Therefore,
Radius = 3/2 ft
Radius 'r' = 1.5ft
And the circumference of the circle = 2πr
So the circumference of this wagon wheel = 2x3.14x1.5
circumference of this wagon wheel = 9.42 ft
For airplane propellors:
Radius = 24 inch
Then diameter = 2x radius
Diameter = 2x24 in
Diameter = 48 in
The circumference of this airplane propellors = 2x3.14x48
The circumference of this airplane propellor = 301.48 in
For orange slice:
Circumference = 20 cm
Therefore,
2πr = 20
r ≈ 3.18 cm
Diameter = 2x3.18 cm
Diameter = 6.36 cm
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ6
Judith has \$70 in a savings account that earns 5% interest , compounded annually .
To the nearest cent, how much will she have in 3 years ?
Answer:
$81.03
Step-by-step explanation:
Given
[tex]n = 1[/tex] --- annually
[tex]t =3[/tex] --- time
[tex]r = 5\%[/tex] --- rate
[tex]PV = \$70[/tex] ---- Present value
Required
The future value
This is calculated as:
[tex]FV = PV * (1 + \frac{r}{n})^{nt}[/tex]
This gives:
[tex]FV = 70 * (1 + \frac{5\%}{1})^{1*3}[/tex]
[tex]FV = 70 * (1 + 5\%)^3[/tex]
[tex]FV = 70 * (1.05)^3[/tex]
[tex]FV = 70 * 1.157625[/tex]
[tex]FV = 81.03375[/tex]
The future value to the nearest cent is: $81.03
How many triangles can the polygon below be divided into? A polygon with 10 sides. 6 7 8 9
Answer:
240
I think I'm not sure but try
Answer:
C. 8
Step-by-step explanation:
Just took the test (edge)
Good luck soldiers
What is the volume of this shape in terms of π (PI)?
Answer:
Step-by-step explanation:
1/3 bh=96 pi/3=32 pi
Answer:
[tex]\displaystyle V = 32\pi \ in^3[/tex]
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 in
h = 6 in
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (4 \ in)^2(6 \ in)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (16 \ in^2)(6 \ in)[/tex]Multiply: [tex]\displaystyle V = \frac{1}{3} \pi (96 \ in^3)[/tex]Multiply: [tex]\displaystyle V = 32\pi \ in^3[/tex]can someone please answer this asap
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Find the slope and the y-intercept of the line. 7x-2y = -10 simplest form
Answer:
7/2 is the slope and 5 is the y-intercept
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
7x-2y=-10
subtract 7x on both sides
-2y=-7x-10
divide by -2 on both sides
y=(7/2)x+5
7/2 is the slope and 5 is the y-intercept.
Enter the trigonometric equation you would use to solve for x. Do not solve the equation.
Answer:
[tex]x=12\times \text{tan}(20^0)[/tex]
Step-by-step explanation:
From the figure attached,
Measure of an angle = 20°
Measure of the opposite side = x
Measure of the adjacent side = 12
By applying tangent rule in the given right triangle,
tan(20°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\text{tan}(20^0)=\frac{x}{12}[/tex]
[tex]x=12\times \text{tan}(20^0)[/tex]
Therefore, equation to get the value of 'x' will be,
[tex]x=12\times \text{tan}(20^0)[/tex]
What property is (4 + b) + 8= 4 + (b + 8)
Answer:
Associative Property
Step-by-step explanation:
Associative Property= Uses parethesis and it doesnt matter the order you put it in it. You are going to get the same answer.
from a random sample of 24 months from january 2006 through december 2016, the mean of number of tornadoes per month in the united states was about 100. assume the population standard deviation is 114
A journal article reports that a sample of size was used as a basis for calculating a CI for the true average natural frequency (Hz) of delaminated beams of a certain type. The resulting interval was . You decide that a confidence level of is more appropriate than the level used. What are the limits of the interval
Answer:
The limit of the (228.533, 234.735)
Step-by-step explanation:
The values are missing in the given question. Therefore, in order to attempt this question, we will make assumptions.
So, let's assume that:
sample size of the journal article that was reported = 5
which is applied for determining a 95% CI
Also, assuming that the resulting interval = (229.764, 233.504)
However, if we are to use a 99% CI which we deemed to be more appropriate;
Then, our objective is to find the limits of this particular interval in question.
To do that:
We need to first find the sample mean at 95% CI by using the formula:
[tex]\Big ( \bar {x} - t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}} \Big) = (229.764,233.504)[/tex]
Since; df = n - 1
df = 5 - 1
df = 4
Then;
[tex]\Big ( \bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} \Big) = (233.504+229.764)[/tex]
[tex]2 \bar {x} = (463.268)[/tex]
[tex]\bar {x} =\dfrac{463.268}{2 }[/tex]
[tex]\bar {x} =231.634[/tex]
Sample mean = 231.634
Using the same formula to determine the standard deviation, we have:
[tex]\Big ( \bar {x} - t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}} \Big) = (229.764,233.504)[/tex]
[tex]\Big ( \bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} \Big) = (233.504-229.764)[/tex]
[tex]\Big ( (\bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} )- (\bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}) \Big) = (233.504-229.764)[/tex]
[tex]\Big ( (\bar x + t_{0.05/2, 4} \ \dfrac{s}{\sqrt{4}}} )- (\bar {x} - t_{0.05/2, 4} \ \dfrac{s}{\sqrt{5}}}) \Big) = (233.504-229.764)[/tex]
At t = 0.025 and df = 4; = 2.776
[tex]2\times 2.776 \dfrac{s}{\sqrt{5}}= 3.74[/tex]
[tex]5.552 \dfrac{s}{\sqrt{5}}= 3.74[/tex]
[tex]\dfrac{s}{\sqrt{5}}= \dfrac{ 3.74}{5.552}[/tex]
[tex]\dfrac{s}{\sqrt{5}}= 0.6736[/tex]
[tex]s = 0.6736 \times \sqrt{5}[/tex]
s = 1.5063
The 99% CI is:
[tex]\implies \Big(\bar x \pm t_{\alpha/2,4} \dfrac{s}{\sqrt{n}} \Big)[/tex]
At t =0.005 and df =4; = 4.604
[tex]\implies \Big(231.634 \pm 4.604 \dfrac{1.5063}{\sqrt{5}} \Big)[/tex]
[tex]\implies \Big(231.634 \pm 4.604 (0.67364) \Big)[/tex]
[tex]\implies \Big(231.634 \pm 3.1014 \Big)[/tex]
[tex]\implies \Big((231.634 - 3.1014), (231.634 + 3.1014) \Big)[/tex]
[tex]\implies \Big( 228.533, 234.735 \Big)[/tex]
Help plz:)))I’ll mark u Brainliest
Answer:
4/5
Step-by-step explanation:
Given :
A right angled triangle with sides 24 , 3 and 40 .And we need to find the value of sinZ .
We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,
[tex]:\implies[/tex] sinZ = p/h
[tex]:\implies[/tex] sin Z = 32/40
[tex]:\implies[/tex] sin Z = 4/5
Hence the renquired answer is 4/5.
I need help pls! optional to give an explanation to help me understand :)
Answer:
(-4, 2)
Step-by-step explanation:
this is a simultaneous equation;
solving by substitution method, we have;
since y= ¼x + 3 and the same y= 2x + 10
therefore we combine both equations;
¼x + 3= 2x+10
3-10=2x-¼x
to clear out fraction, multiply throughout by 4
-28= 8x-x
-28= 7x
x= -28/7
x= -4
since x is -4, therefore All we have to do is to substitute x into y, doing this, we have;
y=2x+10
y= 2(-4) + 10
y= -8 + 10
y= 2
therefore y= 2 and x= -4
so the values are (-4, 2)
if you still don't understand, check your NGM SS2 textbook or make a comment and I will explain better
The coordinate grid shows the graph of four equations:
Which set of equations has (5,0) as its solution?
A and B
C and D
B and D
A and D
*sorry for all the cracks my iPad screen broke.
2
Each of the following is part of your innate immune system,
except:
A
Stomach acid
B
White blood cells
С
Skin
D
Mucus
Answer:
B white blood cells
Step-by-step explanation:
20. What is the solution to the equation By -2(y + 1)-3(y-2) + 6?
A) -10
B) 6
C)-2
D) 2
whats 6 divided by 10?
Answer:
1 r 4
Step-by-step explanation:
0 1
6 1 0
− 0
1 0
− 6
4
When building a house, the number of days required to build varies inversely with
with the number of workers. One house was built in 21 days by 17 workers. How
many days would it take to build a similar house with 7 workers?
Answer:
51 days
Step-by-step explanation:
17/7= 2.428
2.428*21=50.988=51
Is the equation a linear function?
y = -x + 3 +
Grandma is trying out a new recipe for raisin bread. Each batch of bread dough makes three loaves, and each loaf contains 15 slices of bread. If she puts 100 raisins into a batch of dough, what is the probability that a randomly chosen slice of bread contains no raisins
Answer:
0.108
Step-by-step explanation:
Using the poisson probability process :
Where :
P(x =x) = (e^-λ * λ^x) ÷ x!
Given that :
Each batch of bread = 3 loaves
Each loaf = 15 slices
Total slice per batch = 15 * 3 = 45 slices
Number of raising added = 100
Average number of raisin per slice, λ = 100/45 = 20/9
Hence,
Probability that a randomly chosen slice has no raising :
P(x = 0) = (e^-λ * λ^x) ÷ x!
P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!
P(x = 0) = (0.1083680 * 1) / 1
P(x = 0) = 0.108