Answer:
y = 5√3
x = 10√3
Step-by-step explanation:
From the given sides
Adjacent = 15
Opposite = y
Hypotenuse = x
Angle of depression = 30degree
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 30 = y/15
y = 15tan30
y = 15(1/√3)
y = 15√3/3
y = 5√3
Similarly
cos theta = adj/hyp
cos 30 = 15/x
x = 15/cos30
x = 15 /√3/2
x = 30/√3
x = 30√3/3
x = 10√3
The average commute times for employees of a large company is 23 minutes.
The commute time of 12 employees are
25, 33, 26, 29, 17, 29, 42, 19, 15, 52, 11, and 14.
Enter the sample mean and the population mean in the boxes.
x¯ =
min
μ =
min
Answer:
x¯ = 26 min
μ = 23 min
Step-by-step explanation:
I took the test and these were the answers.
1. How can you find answers to the statistical questions?
2. How about answers to non-statistical questions?
1 The solution involves four steps.
Make sure the sample size is big enough to model differences with a normal population. ...
Find the mean of the difference in sample proportions: E(p1 - p2) = P1 - P2 = 0.52 - 0.47 = 0.05.
Find the standard deviation of the difference. ...
Find the probability.
A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spheres?
The volume of the larger sphere is π
cubic inches greater than the volume of the smaller sphere.
Answer:
Solution given;
for sphere
radius [r]:12inches
another
radius [R]:9inches
Now
difference in volume of sphere:
volume of sphere of having radius [r-R]
=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]
=[tex] \frac{4}{3} π[/tex](12³-9³)
= 1332π cubic inches
The volume of the larger sphere is ___1332__π cubic inches greater than the volume of the smaller sphere.
"-3x" + 5 < "-10" Inequality 2: 7x + x - 4 > 28 Which of the following values makes BOTH inequalities TRUE? Select all that apply! 12 "-5" −152 "-8.25" 23 48 325
Answer:
12, 23, 48, 325
Step-by-step explanation:
So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.
Inequality 1:
(-3x) + 5 < (-10)
Inequality 2:
7x + x - 4 > 28
simplifies to: 8x - 4 > 28
When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.
Answers that apply from given list would be:
12, 23, 48, 325
Y varies directly as x. If x = 15 when y = 20, find x when y = 30.
Answer:
22.5
Step-by-step explanation:
y=kx
20=k15
k=1•33
30=1•33x
x=22•5
What is the equation in slope-intercept form
of the line that passes through the points
(-3, 10) and (3, 14)?
Answer:
C) y=2/3x+12
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(14-10)/(3-(-3))
m=4/(3+3)
m=4/6
simplify
m=2/3
y-y1=m(x-x1)
y-10=2/3(x-(-3))
y-10=2/3(x+3)
y=2/3x+6/3+10
y=2/3x+2+10
y=2/3x+12
Is the function below linear or non linear? y = 5 + 3(x-4)
Answer:
Linear
Step-by-step explanation:
The rule is that linear equations must have exponents of 1 (a sloped line) or 0 A verticle or horizontal line). This function can be simplified to
y = 3x - 12 + 5 = 3x - 7 which is the standard form of a linear equation
y - mx + b where m is the slope and m is the y intercept.
What is the perimeter of the rectangle?
Answer:
28 Centimeters
Step-by-step explanation:
Have a good day :)
A circle has a radius of 1.5 meters.
Find its circumference and area.
help bestiess :)
Answer:
C=9.42
Step-by-step explanation:
Formulas: C=2πr or C=πd
Were gonna use C=2πr
"r"stands for radius from the problem we know that the radius is 1.5 .
Now we substitute the "r" for 1.5, it looks like this C=2π1.5 .
Now we multiply 2x1.5=3 . Now you are left with C=3π
Now you need to multiply 3xπ (Instead of π use 3.14) it would look like this 3x3.14= 9.42
what is the most common denomonator outof 1/3 1/5
Answer:
1/5
Step-by-step explanation:
15? I think that's what you were asking
Just help, my brain shutdown and its currently 9:51, so help me asap. <3
(05.05) Polygon ABCD has the following vertices:
A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)
Calculate the area of the polygon.
A) 48 units squared
B) 53 units squared
C) 68 units squared
D) 88 units squared
Answer:
B hope this helps!
Step-by-step explanation:
Trust <3
Answer:
The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.
The searched polygon can be seen in the attached image.
The area of the polygon will be the area of the square plus the area of the triangle.
At = (6) * (8) + (1/2) * (5) * (8) = 68
At = 68
answer
the area of the polygon is 68units ^ 2
What is the slope of these two points (5,-11) and (25,9)?
Answer:
[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]
Find the distance between the two points coordinate plane below?
a. 6.00
b. 6.40
c. 5.50
d. 4.50
Answer:
b. 6.40
Step-by-step explanation:
the distance = √(4+1)² + (1-5)²
=√25+16=√41 = 6.40
Help me with this hw please
Answer:
12 = 3 + p
Step-by-step explanation:
She has a total of 12 pencils
3 of them are red
The rest are "p"
p + 3 must equal 12 because she has a total of 12 pencils consisting of 3 red and "p" as the rest
Shows the termination of the parking lot of Helen healings health food store parking lot is how many square yards
Answer:
1100 yd²
Step-by-step explanation:
The parking lot can be divided into 2 rectangles :
Area of a rectangle = Length * Width
First rectangle :
Dimension = 40 yards by 20 yards
Area = 40 * 20 = 800 yd²
Rectangule 2 :
30 yards by 10 yards
Area = 30 * 20
Area = 30 * 10 = 300 yd²
Total area of parking lot :
800 + 300 yd²
= 1100 yd²
I need to know the surface area of this prism please help !!!! I will give brainlist !
Answer:
614
Step-by-step explanation:
15 x 13 = 195 two times 195 x 2 = 390
4 x 15 = 60 two times 60 x 2 = 120
4 x 13 = 52 two times 52 x 2 = 104
104 + 120 + 390 = 614
Answer:
SA = 2(l·w)+2(w·h)+2(l·h)
SA = 614 sq in
Step-by-step explanation:
SA = 2(4x13)+2(13x15)+2(4x15)
= 2(52)+2(195)+2(60)
= 104 + 390 + 120
= 614
The dial on an old telephone is a plastic ring 8cm in diameter with a4cm diameter hole in the center. Ten small dialing holes each of diameter 1.2cm are cut out of the ring
Answer:
Area of remaining plastic = 36.55 cm² (Approx.)
Step-by-step explanation:
Given:
Diameter of plastic dial of telephone = 8 cm
Diameter of middle hole = 4 cm
Diameter of ten small holes = 1.2 cm
Find:
Area of remaining plastic
Computation;
Radius of plastic dial of telephone = 8/2 = 4 cm
Radius of middle hole = 4/2 = 2 cm
Radius of ten small holes = 1.2/2 = 0.6 cm
Area of remaining plastic = Area of plastic dial - Area of middle hole - 10[Area of small holes]
Area of remaining plastic = π(4)² - π(2)² - π(0.6)²
Area of remaining plastic = π(16) - π(4) - π(0.36)
Area of remaining plastic = π[16 - 4 - 0.36]
Area of remaining plastic = π[11.64]
Area of remaining plastic = (3.14)(11.64)
Area of remaining plastic = 36.5496
Area of remaining plastic = 36.55 cm² (Approx.)
A kayak is $329.95, marked 33% off. Discount: ____ Selling Price __
Answer:
$108.88
Step-by-step explanation:
because 329.95×0.33= 108.88
7th grades math help me pleaseeee
Answer:
7 attendees
Step-by-step explanation:
From the above question, we know that:
$10 = 5 attendees
$14 = x
Cross Multiply
$10 × x attendees = $14 × 5 attendees
x attendees = $14 × 5 attendees/$10
x attendees = 7 attendees
Therefore, if the budget for the cooperate team building is $14, the number of attendees is 7
The menu at the 51's baseball game has 8 flavors of drinks, 4 types of french fries, and 3 types of hamburgers. How many different ways could you purchase a drink, fries, and hamburger? (Combination)
Answer:96
Step-by-step explanation:
It's super easy you just multiply 8x4x3=96
and that gives you the answer
if a and b are roots of 3x2-6+2=0then find a+b
Answer:
a + b = 2
Step-by-step explanation:
Given
ax² + bx + c = 0 ( equation in standard form )
Then the sum of the roots = - [tex]\frac{b}{a}[/tex]
3x² - 6x + 2 = 0 ← is in standard form
with a = 3, b = - 6 , then
sum of roots = - [tex]\frac{-6}{3}[/tex] = 2
Answer:
[tex]I \ think \ it \ is \ 6x\\\\3x^2 - 6x +2 = 0\\\\[/tex]
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a} \\\\a = 3, b = -6, c = 2\\\\x = \frac{-b + \sqrt{b^2 - 4*a*c} }{2a}, x = \frac{-b - \sqrt{b^2 - 4*a*c} }{2a} \\\\ \\\\x = \frac{6 + \sqrt{36 - 24} }{6} , x = \frac{6-\sqrt{36 -24} }{6} \\\\[/tex]
[tex]x = \frac{6+\sqrt{12} }{6} , x = \frac{6-\sqrt{12} }{6} \\\\x = \frac{3+\sqrt{3} }{3} , x = \frac{3-\sqrt{3} }{3}[/tex]
[tex]Let \ a = \frac{3 + \sqrt{3} }{3} , b = \frac{3-\sqrt{3} }{3} \\\\a + b = \frac{3+\sqrt{3} }{3} + \frac{3-\sqrt{3} }{3} = \frac{3+\sqrt{3} +3-\sqrt{3} }{3} = \frac{6}{3} = 2[/tex]
help plz
what's [tex]\sqrt{8*8}[/tex]
Thx!!
Answer:
8
Step-by-step explanation:
[tex]\sqrt{8*8}[/tex] = [tex]\sqrt{64}[/tex]
[tex]\sqrt{64}[/tex] = 8
Hope this helps!
Answer:
Solution given:
[tex]\sqrt{8*8}[/tex]
[tex]\sqrt{8²}[/tex]
[tex]\large \bold{8}[/tex]
What is the polynomial for this?
Answer:
Polynomial=4x^3+2x^4+15x-5
in standard form:2x^4+4x^3+15x-5
Step-by-step explanation:
please help me ill give you the crown thing if its right
Answer:
C 22cm I really hope this helps and is right! Sorry if its wrong
Step-by-step explanation:
:)
82.8 cm measured to the nearest tenth of a cm.
Answer:
80.0 cm
...................
A room is 90 inches wide, and 145 inches long. What is the perimeter of the room?
Answer:
I think 50
Step-by-step explanation:
Answer:
470 inches
Step-by-step explanation:
p = 2l + 2w
p = 2*145 + 2*90
p = 290 + 180
p = 470
Please help me with this math question will mark brainliest
Answer:
-9
Step-by-step explanation:
Using the sum/difference property of logarithms, we can rewrite the expression given as:
log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5
Next, we can use the power property of logarithms, and rewrite it again as:
3log b + 3log c - 1.5log a
Now, we can substitute the values of log a, log b, and log c:
3(11) + 3(-9) - 1.5(10)
33 - 27 - 15
-9
Simplifying, we get -9 as the answer.
What are the values of m and o In the diagram below?
Answer:
What diagram below?
Step-by-step explanation:
There's no picture.
Ron and amber bought a pizza, Ron ate 3/10 of the pizza, Amber ate 1/10 of the pizza. Together, which fraction of the pizza did they eat?
A. 1/5
B. 1/3
C. 1/4
D. 3/100
E. 2/5
Answer:
E
Step-by-step explanation:
3/10 + 1/10 = 4/10
simplify 4/10
4/2 and 10/2
ANSWER = 2/5
Please help i will do anything!! Pleasee
Answer:
i will say the first one is yes and then is the third one
Step-by-step explanation: