Answers
Answer:
5
Step-by-step explanation:
We know that we can use the Pythagorean theorem
a^2 + b^2 =c^2
where a and b are the legs and c is the hypotenuse
one of the legs is 12 and the hypotenuse (diagonal) is 15
a^2 + 12^2 = 15^2
a^2 +144 = 169
a^2 +144-144 =169-144
a^2 = 25
Taking the square root of each side
sqrt(a^2) = sqrt(25)
a = 5
Answer:
l = 9 cm
Step-by-step explanation:
Using Pythagoras' identity in one of the right triangles with legs width w, length l and hypotenuse h , then
l² + w² = h²
l² + 12² = 15²
l² + 144 = 225 ( subtract 144 from both sides )
l² = 81 ( take the square root of both sides )
l = [tex]\sqrt{81}[/tex] = 9
Related Questions
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $23 monthly fee and charges an additional $0.11 for each minute of calls. The second plan has no monthly fee but charges $0.15 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answers
Answer:
575 minutes
Step-by-step explanation:
this is a systems of equations problem
2 plans, 2 equations
Scenario 1:
$23 is a mandatory fee, 11 cents per minute
x=23+0.11m (x= total cost, m= minutes called)
Scenario 2:
There is no mandatory fee, but there is a higer 15 cents per minute
x=0.15m (y=total cost, m=minutes called)
Set them equal to each other because you want to know when they become equal
23+0.11m=0.15m
23=0.04m
m=575
Answer:
Plan 1: 65 minutes, Plan 2: 201 minutes
Step-by-step explanation:
Not sure if this is the answer that you need but here is the math that i did..
Plan 1: $23 + $0.11/min
$0.11 x 65 minutes will give you a total of $7.15 + the inital $23 = $30.15
Plan 2: $0 + $0.15/min
$0.15 × 201 minutes will give you a total of $30.15
I hope this helps!
You are in a hot air balloon that is 600 feet above the ground where you can see your friend. If the angle from your line of sight to your friend is 20°, how far is he from the point on the ground below the hot air balloon to the nearest foot?
Answers
Answer:
218.38 feet
Step-by-step explanation:
tan(20) = x/600
tan(20) = 0.3639
600 x 0.3639 = 218.38 feet
hope this helps
how do you figure this out step-by-step?
5x + 3y = 10
6x + 3y = 33
Answers
Multiply the second equation by -1.
5x+3y=10
-6x-3y=-33
The postive and negative 3ys cancel
-x=-23
x=23
10=5x-3y=3xy+10=13xy
If x and y vary inversely . When x = 4 and y = 2x , what is the value of y when x = 16 ?
Answers
the value of y is thirty-two (32)
Nêu định nghĩa số hữu tỉ? Nêu quy tắc cộng, trừ, nhân ,chia số hữu tỉ?
Answers
số hữu tỉ là các số x có thể biểu diễn dưới dạng phân số [tex]\frac{a}{b}[/tex] trong đó a và b là các số nguyên với b {\displaystyle \neq }\neq 0.[1] Tập hợp số hữu tỉ ký hiệu là {\displaystyle \mathbb {Q} }{\displaystyle \mathbb {Q} }.[2]
Step-by-step explanat
ion:
Answer:
Step-by-step explanation:
5sinA=4, find the value of tanA.
Answers
Answer: tan A=4/3
Step-by-step explanation:
Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5
Áp dụng định lí py ta go ta đc:
5^2=4^2+x^2
=) x=3
Vậy cạnh kề của góc A=3
Mà tanA = cạnh đối/cạnh kề
Vậy giá trị của tanA=4/3
(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.
Answers
Answer:
Not exactly sure what the question is but John would have to pay 180 to be in the class, he does not have enough for the class right now.
HELP ASAP
The graph of f(x)= |x| is chosen below. Write the equation for the stretched graph, g(x).
Answers
Answer:
y = |3x|
Step-by-step explanation:
Help me please, asap
Answers
Answer:
k = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
X| 1 2 5 10 30
Y| 3 6 15 30 90
which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by sqrt 7x²
A. x < -1
B. x > -1
C. x < 1
D. x > 1
Answers
Answer:
the answer to your question is D
In the figure. PQ = PR and AQSR = 90°. Write the name of an isosceles triangle and a right angled triangle.
Answers
Answer:
see explanation
Step-by-step explanation:
Since PQ = PR , that is congruent legs of the triangle, then
Δ PQR is isosceles
Since ∠ QSR = 90° , then
Δ QSR is right angled
1. Write three different solutions of 4x - 2y = 8. plzz answer fast
Answers
Answer:
y=-4+2x
x=(4+y)/2
2x-y=4
4(1)-2y=8
-2y=8-4
-2y=4
y=-2
ii)x=2
4(2)-2y=8
8-2y=8
y=0
iii)x=3
4(3)-2y=8
12-2y=8
2y=12-8
2y=4
y=2
Hope it helps!
Please help out explanation need it
Answers
Answer:
156m^2
Step-by-step explanation:
I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36
The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.
120+36=156. The surface area of the rectangle is 156m^2
If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =
Answers
Using the intersecting chord theorem:
a x b = c x d
x+21 * 4 = x+3 * 10
Simplify:
4x+84 = 10x+30
Subtract 30 from both sides:
4x + 54 = 10x
Subtract 4x from both sides:
54 = 6x
Divide both sides by 6:
x = 9
Answer:
x=9
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
ab = cd
(x+21) *4 = (x+3)*10
Distribute
4x+84=10x+30
Subtract 4x from each side
84 = 10x-4x+30
84 = 6x+30
Subtract 30 from each side
54 = 6x
Divide by 6
54/6 = 6x/6
9=x
If ∠AFB and ∠DFE are congruent, what term describes ∠BFE and ∠AFD?
Answers
Answer:
If you add a picture I can help
Step-by-step explanation:
I need to see what the figure looks like
Find the rare of change for the situations , You run 7 miles in one hour and 14 miles in two hours
Answers
The rate of change is 7 because its 7 miles per hour
3. The volume of a cube is 216 cm'. What is the length of one side?
O 6 cm
6 cm3
72 cm
O 72 cm
Answers
Answer:
6 cm
Step-by-step explanation:
6 cm×6cm×6cm=216 cm³
Tìm m để hàm số sau là hàm số bậc nhất:
(2m-1)x+2018
Answers
Answer:
2mx-x+2018
Step-by-step explanation:
multiply each term in the parentheses by x
On a map, two mountains are 5 7/8 inches apart. If 1/2 of an inch on the map represents 80 miles, then how many miles apart
Answers
Answer:
235 miles
Step-by-step explanation:
80(5 7/8÷ 2)
Which point has the coordinates (-3.5, 7)?
Answers
Answer:
Q
Step-by-step explanation:
The coordinates are ( x,y)
negative 3.5 goes 3.5 units to the left
7 goes 7 units up
Answer:
Q
Step-by-step explanation:
The x coordinates is - 3.5 so we go left to - 3 and half way to 4 to get 0.5
the Y coordinates is 7, so we go up the Y axis to 7. We can then see that Q is located there
CKPenny is selling 50 coats. Each coat with a hood have 5 buttons and each coat without a hood have 10 buttons. If there are 400 buttons among all the coats, how many coats don't have hoods?
Answers
Answer:
40 coats don't have hoods
Which is a desirable characteristic when choosing a line of credit?
a. rewards program
b. annual fee
c. amount of down payment
d. amount of collateral
Answers
Answer:
Rewards program
Step-by-step explanation:
A line of credit is a predetermined quantity of money that somehow a bank lends to a person and is issued by a financial company. Reward programme: Reward program's internet shopping centre goods were exchanged and point can redeem for items using Reward program's internet shopping mall points.
Answer:
A. rewards
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
13
6
Answers
Answer:
62.5 or 63
Step-by-step explanation:
the length of the side adjacent to the angle is given (6), and the length of the hypotenuse is also given (13)
the trig function that deals with adjacent and hypotenuse lengths is cosine.
cos(x) = adj/hyp
cos(x) = 6/13
x = 62.5
Help! Pls I’m struggling
Answers
Answer:
the x^2 column would have a "22" between the 4 & 5
Step-by-step explanation:
x x^2
0 0
1 1
2 4
3 9
4 16
5 25
6 36
Answer:
Step-by-step explanation:
√22
-number 22 is between what two perfect squares?
4² =16 < 22 < 5² =25
therefore the result is a number between 4 and 5
-you can use a calculator to check your answer √22 ≈4.7
Help me answer this, Thank you
Answers
Answer:
Step-by-step explanation:
rotate it in a full circle
Beverly fpund a magic bean. If she puts it in the soil , every single day it will grow 4 cm. After how many days will it be 14.56 meters tall
Answers
Answer:
364 days
Step-by-step explanation:
Magic bean will take 364 days to grow 14.56 m tall.
What is Unit Conversion?A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.
Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.
First we need to convert the height in m into cm.
14.56 m=14.56*100=1456 cm
If it grows 4 cm in one day then:
It will take 1456/4=364 days (a year) to grow completely.
To know more about unit conversion refer:
https://brainly.com/question/6243489
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The surface area of a cylinder is given by the formula
S = 30πr + 2πr2
How many times greater is this compared to a circle with A = πr2
Answers
Answer:
[tex] x = \frac {30}{r} + 2 [/tex]
Step-by-step explanation:
Given the following data;
S.A of cylinder = 30πr + 2πr²Area of circle = πr²To find how many times greater is the S.A compared to the area, we would have to divide the surface area (S.A) of the cylinder by the area of circle.
Let the unknown variable be x.
[tex] x = \frac {30 \pi r + 2 \pi r^{2}}{\pi r^{2}} [/tex]
Factorizing the numerator, we have;
[tex] x = \frac {\pi r(30 + 2r)}{\pi r^{2}} [/tex]
Dividing both sides by πr, we have;
[tex] x = \frac {30 + 2r}{r} [/tex]
Simplifying further, we would have;
[tex] x = \frac {30}{r} + 2 [/tex]
is x = 12 a solution to the equation 6 + x = 19
Answers
Answer:
Incorrect.
Step-by-step explanation:
6 + x = 19
Plug in when x = 12
6 + 12 = 19
18 = 19
It is incorrect, so 12 is not a solution.
Answer:
It is not a solution
Step-by-step explanation:
6 + x = 19
Substitute into the equation and see if it is true
6+12 = 19
18 =19
This is not true so it is not a solution
Can u help solve this
Answers
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
Slope = 2
Step-by-step explanation:
Use the Slope-Formula to find the slope
m = slope
m = change in y/change in x
m = (y2 - y1)/(x2 - x1)
Points: (0, 2) (3, 8) where the first point is x1 & y1 and the second point is x2 & y2.
m = (8 - 2)/(3 - 0)
m = 6/3
m = 2
The slope will be 2
What are the root(s) of the quadratic equation whose related function is graphed below?
Answers
Answer:
0 and 4
Step-by-step explanation:
roots are where the graph intersects at x axis
The roots of the quadratic equation whose related function is graphed are 0 and 4, the correct option is C.
What is the quadratic equation?A quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
If b2 – 4ac > 0 roots are real and different. As the discriminant is >0 then the square root of it will not be imaginary. It has two cases.
If b2 – 4ac is a perfect square then roots are rational. As the discriminant is a perfect square, so we will have an integer as a square root of the discriminant. Hence, the roots are rational numbers.
The shape of the graph is a downward parabola on the positive x-axis therefore the roots of the graph are positive.
From the given option the roots of the equation are 0 and 4 both are positive.
Hence, the roots of the quadratic equation whose related function is graphed are 0 and 4.
Learn more about quadratic equations here;
https://brainly.com/question/16223097
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