Answer:
13.42 ft. to the nearest tenth of a foot
Step-by-step explanation:
The length of the cable is the hypotenuse of a right triangle. You know the two legs, 6 and 12, so let the length of the hypotenuse = h. Then,
[tex]h^{2} = 6^{2} + 12^{2} = 36 + 144 = 180\\h = \sqrt{180} = 13.42[/tex]
13.42 ft. to the nearest tenth of a foot
Work out the size of angle DEF, giving a reason for your answer.
F
150°
OEF
Answer:
angle DEF = 75 degrees
Step-by-step explanation:
angle DOF = 150 degrees, then arc DF also = 150 degrees
angle DEF = 1/2 arc DF = 75 degrees
True or false: Climate of an area is established without studying long term weather patterns PLS HELP THIS IS SCIENCE NOT MATH
PLLLZ HELP!! WILL MARK BRAINLIEST!!
What is the area of the figure?
Answer:
390 cm^2
Step-by-step explanation:
15 x 20 = 300
1/2(12 x 15) = 90
Answer:
390 cm^2
Step-by-step explanation:
-1. A coffee shop spends $400 for an order of 20 cases of paper cups. How much is
one case of paper cups? Write and solve an equation.
Answer:
$20
Step-by-step explanation:
400/20=20
What would be the TSA (Total Surface Area)?
Answer:
B (133 square meters)
What is an equation of the line that passes through the point (3,-1)(3,−1) and is parallel to the line 5x+3y=65x+3y=6?
Answer:
6yx hope this helped dude!
Step-by-step explanation:
Answer:
6yx
Step-by-step explanation:
I need help with this
Answer:
n = √3
m = √3
Step-by-step explanation:
The triangle is an isosceles right triangle with 2 equal base angles of 45° each.
Thus:
Reference angle = 45°
Hypotenuse = √6
Opposite = m
Adjacent = n
✔️To find m, apply the trigonometric function SOH, we have:
Sin 45 = opp/hyp
Sin 45 = m/√6
√6 × 1/√2 = m (sin 45 = 1/√2)
√6/√2 = m
√(6/2) = m
√3 = m
m = √3
✔️To find n, apply the trigonometric function, CAH:
Cos 45 = adj/hyp
Cos 45 = n/√6
√6 × √2/2 = n (cos 45 = √2/2)
√12/2 = n
√(4*3)/2 = n
(2√3)/2 = n
√3 = n
n = √3
Help!! Plzzz
Nevaeh invested $1,200 in an account paying an interest rate of 2 % compounded
quarterly. Paisley invested $1,200 in an account paying an interest rate of 2 %
compounded continuously. To the nearest dollar, how much money would Nevaeh
have in her account when Paisley's money has tripled in value?
Answer:
Nevaeh will have 1224.33 and Paisley will have 1275
Help me please 30 points
x² < 36
What is the solution to the inequality above?
Answer:
6
Step-by-step explanation:
root 36, is 6
6 times 6 = 36
so x is 6
Which of the triangles are right triangles
Answer:
Number 2 is one of them
I can't tell what number 4 is because your mouse
is covering one of the numbers
Step-by-step explanation:
Use Pythagorean therom
A^2 + B^2 = C^2
Two coffees and two muffins cost a total of 16 dollars. Two coffees and four muffins cost a total of 20 dollars. What is the individual price for a single coffee and a single muffin?
(A) DEFINE THE VARIABLES:
(B) EQUATIONS:
(D) QUESTIONS:
i) What is the cost of a coffee?
ii) What is the cost of a muffin?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the variables and linear equation.
let the cost of coffee be x and cost of muffin be y.
=> Let the first equation be => 2x + 2y = 16
=> Let the second equation be => 2x + 4y = 20
let's, reduce first eqn ==> x + y = 8 , then x = y-8
now we substitute value of x in second equation,
2(8-y) + 4y = 20
==> -2y + 4y +16 = 20.
==> 2y = 4
==> y = 2
hence, now x = 8-2 ==> 6 ,
so the cost of a Coffee = 6
cost of a muffin = 2
Cost of a muffin = 6
Select the best real-world situation that can be represented by 15 + c = 19.50. Then solve the equation and describe what your answer represents for the problem situation.
A Mary wants to buy flowers and perfume. She has $19.50 to spend but has already spent $15 on perfume. How much does she have left to spend on flowers?
B Rachel earns $15 per hour. How long does it take her to earn $19.50?
C Sarah has $15 in her checking account but has written a check for $19.50. How much is she overdrawn?
D Jane has $19.50 to spend. How many roses can she buy if they are $15 each?
Answer:
a
Step-by-step explanation:
15+c=19.50
c=19.50-15
=4.5
Answer:
A) She has left $4.50 to spend on flowers.
Step-by-step explanation:
15+c=19.50
c=19.50-15=4.50
Select all correct answers, marking most brainly :)
Answer:
Your answers are C and D
Step-by-step explanation:
If you pay attention to the chart you will notice that medium duty fabric can last from 9000 to 15000 rubs meaning that since fabric B lasted 9200 it would be a medium duty fabric, making Fabric A light duty fabric.
A: This is INCORRECT because fabric B is medium duty
B: This is INCORRECT because Fabric B lasted longer than Fabric A
C: This is CORRECT because Fabric B is medium duty fabric
D:This is CORRECT because Fabric B lasted more rubs than Fabric A because its a more durable fabric
E: This is INCORRECT because Fabric A does not meet the requirements to be a Medium duty fabric.
Your Welcome, Hope This Helps, And Have a Splendid Day!!!
Consider the right triangle shown below.
The hypotenuse of the triangle is r=15 cm long. Suppose cos(θ)=0.825 and sin(θ)=0.565. What are the other side lengths of the triangle?
x=____ cm
y=_____ cm
The side lengths of the triangle are x = 12.375 cm , y = 8.475 cm .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
Hypotenuse of the triangle r = 15 cm
Perpendicular for ∠ θ = y
Base for ∠ θ = x
sin(θ)=0.565
cos(θ)=0.825
Now, using trigonometric ratio
sin θ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
sin(θ)=0.565 (given)
0.565 = [tex]\frac{y}{r}[/tex]
0.565 * r = y
y = 0.565 * 15
y = 8.475 cm
cos θ = [tex]\frac{Base}{Hypotenuse}[/tex]
cos(θ)=0.825
0.825 = [tex]\frac{x}{r}[/tex]
0.825 * r = x
x = 0.825 * 15
x = 12.375 cm
Hence, the side lengths of the triangle are x = 12.375 cm , y = 8.475 cm.
To know more about trigonometric ratio here:
https://brainly.com/question/25122825
#SPJ2
.
PLS HELP: Harry read a number of books over the summer. Make a histogram to show the
books he read by page length. Which length of book did he read the most?
number of pages: 452 409 355 378 390 367 375 514 389 438 311 411 376
Answer:
he read the things in the 350-390 area mostly, i dont know if this helps.
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
12
Step-by-step explanation:
more 3:4:5 triangles lol, x is 3/4 * 16 = 12
9.
An object accelerates. 5.0 m/s2 when a force of 20.0 newtons is applied to it.
What is the mass of the object?
m = 4.00 kg
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityPhysics
Newton's Law of Motions
Newton's 1st Law of Motion: An object at rest remains at rest and an object in motion stays in motion Newton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration) Newton's 3rd Law of Motion: For every action, there is an equal and opposite reaction Step-by-step explanation:Step 1: Define
[Given] F = 20.0 N
[Given] a = 5.0 m/s²
[Solve] Mass m
Step 2: Solve for m
Substitute in variables [Newton's 2nd Law of Motion]: 20.0 N = m(5.0 m/s²)[Division Property of Equality] Divide 5.0 on both sides: 4.00 kg = mRewrite: m = 4.00 kgWhat is the measure of Zx?
Answer:
x= 63
Step-by-step explanation:
x + 65 = 128
x = 128 - 65
= 63
I hope im right!!
Can some one do this for me I’m little not smart
Answer:number 5 is 21x−28
Step-by-step explanation:
which side in PLWRK corresponds to XS of XCMES
A. PK
B. WK
C. RL
D. RW
Answer:
A) PK
Step-by-step explanation:
can someone help pls
I think its A. translation, translation
Please answer ASAP!
Write an expression in simplest form for the area of the rectangle.
Length: (c+4) ft
Width: 3 ft
Answer:
3c+12
Step-by-step explanation:
Are of rectangle = Length * Width
Given the following data
Length: (c+4) ft
Width: 3 ft
Area of the rectangle = 3 (c+4)
Expand
Area of the rectangle = 3(c) + 3(4)
Area of the rectangle = 3c + 12
hence the expression in simplest form for the area of the rectangle is 3c+12
How do you find the angle for 2?
Answer:
m<2 = 130°
Step-by-step explanation:
m<1 + m<2 = 180° (angles on a straight line/linear pair theorem)
First, we need to find m<2.
m<1 + 90° + 40° = 180° (sum of triangle)
Add like terms
m<1 + 130 = 180
Subtract 130 from each side
m<1 = 180 - 130
m<1 = 50°
Thus:
50° + m<2 = 180°
Subtract 50° from each side
m<2 = 180 - 50
m<2 = 130°
Morgan painted 3 faces in 12 minutes at the Spring Festival. At this rate, how many faces can she paint
in 40 minutes?
A10
B15
C8
D12
Answer:
A
Step-by-step explanation:
I would like anyone to help me with this question because I got confused
Answer:
13 wholes
Step-by-step explanation:
graph the function f(x)= 2(1/2)^x
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please help it's due very soon if I fail I'll cry and my parents will yell at me
Answer:
[tex](11)\ -2x + 5y = 20[/tex]
[tex](12)[/tex] [tex]4x + y= -25[/tex]
[tex](13)[/tex] [tex]3x + 8y = -15[/tex]
[tex](14)\ -9x + 4y = 2[/tex]
[tex](15)\ y = - 9[/tex]
Step-by-step explanation:
Required
The line equation
[tex](11)\ (-5,2); m =\frac{2}{5}[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = \frac{2}{5}(x - (-5)) + 2[/tex]
[tex]y = \frac{2}{5}(x +5) + 2[/tex]
Open bracket
[tex]y = \frac{2}{5}x +2 + 2[/tex]
[tex]y = \frac{2}{5}x +4[/tex]
Multiply through by 5
[tex]5y = 2x + 20[/tex]
Rewrite as:
[tex]-2x + 5y = 20[/tex]
[tex](12)\ (-6, -1);\ m = -4[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -4(x - -6) - 1[/tex]
[tex]y = -4(x +6) - 1[/tex]
Open bracket
[tex]y = -4x -24 - 1[/tex]
[tex]y = -4x -25[/tex]
Rewrite as:
[tex]4x + y= -25[/tex]
[tex](13)\ (3,-3)\ m =-\frac{3}{8}[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -\frac{3}{8}(x - 3) -3[/tex]
[tex]y = -\frac{3}{8}x + \frac{9}{8} -3[/tex]
Multiply through by 8
[tex]8y = -3x + 9 - 24[/tex]
[tex]8y = -3x -15[/tex]
Rewrite as:
[tex]3x + 8y = -15[/tex]
[tex](14)\ (0, \frac{1}{2}); m = \frac{9}{4}[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = \frac{9}{4}(x - 0) + \frac{1}{2}[/tex]
[tex]y = \frac{9}{4}x + \frac{1}{2}[/tex]
Multiply through by 4
[tex]4y = 9x + 2[/tex]
Rewrite as:
[tex]-9x + 4y = 2[/tex]
[tex](15)\ (\frac{16}{3}, -9); m =0[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0(x - \frac{16}{3}) - 9[/tex]
[tex]y = 0 - 9[/tex]
[tex]y = - 9[/tex]
HELP! WILL MARK AS BRAINLIEST
T = 88 btw
Answer:
V = 63°
U = 29°
X = 12°
Step-by-step explanation:
given that T = 88
88 = 7x+4
88 - 4 = 7x
84 = 7x
84 = 7*12
x=12
V = 60 + 3 = 63
U = 24 + 5 = 29
88 + 63 + 29
Check : 88 + 63 + 29 .= 180
In a random sample of 850 high school students in large metropolitan areas, 768 said they had access to the internet during school hours. In an independent random sample of 355 high school students in rural communities, 308 said they had access to the internet during school hours. What is the p-value for a significance test to determine if these data provide evidence that the proportion of high school students in metropolitan areas who have internet access during school hours is different than the proportion of rural high school students who have internet access during school hours?
Answer:
Since the calculated value of z= 1.869 does not fall in the critical region we accept the null hypothesis H0: p1≠ p2 the data provides evidence that the proportion of high school students in metropolitan areas who have internet access during school hours is different than the proportion of rural high school students who have internet access during school hours.
Step-by-step explanation:
Let p1= proportion of the high school students having internet access
p2= proportion of the rural school students having internet access
1) The null and alternate hypothesis are
H0: p1≠ p2 against the claim Ha: p1= p2
2) We choose significance level ∝ =0.05
3) The test statistic under H0 is
z= p1^- p2^/√ p^q^( 1/n1 + 1/n2)
Now
p1^= 768/850= 0.9035
p2^= 308/355= 0.8670
p^= 768+ 308/850+ 355= 1076/1205
p^= 0.8929
q^= 1-p^= 0.1070
Putting the values
z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)
Z= 0.9035-0.8670/sqrt [0.8929*0.1070( 1/850 + 1/355)]
z= 0.0365/ sqrt [ 0.0955403 (0.001176 + 0.002816)]
z= 0.0365/ 0.019531
z= 1.8688
The critical region is z∝/2 = ± 1.96
The value of z is 1.8666. The value of p is 0.06148 which is greater than 0.05
Conclusion:
Since the calculated value of z= 1.869 does not fall in the critical region we accept the null hypothesis H0: p1≠ p2 the data provides evidence that the proportion of high school students in metropolitan areas who have internet access during school hours is different than the proportion of rural high school students who have internet access during school hours.