What is the value of x?
Enter your answer in the box
13 is top 12 is bottem and the left is X
Answers
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Explanation:
We have a right triangle as indicated by the square angle marker. Two of the sides are known: specifically the hypotenuse (13) and one of the legs (12). The other leg (x) is unknown.
We can use the Pythagorean Theorem to find x
a = 12 is one of the known legs
b = x is the unknown leg
c = 13 is the hypotenuse
Pythagorean Theorem:
a^2 + b^2 = c^2
12^2 + x^2 = 13^2
144 + x^2 = 169
144 + x^2-144 = 169-144 ... subtract 144 from both sides
x^2 = 25
sqrt(x^2) = sqrt(25) ... apply square root to both sides
x = 5
Side Note: Keep in mind that x can't be negative so it doesn't make sense to use the plus/minus here. We'll only stick with the positive version.
Related Questions
2(x + 7) + 3x = 12
What is the first step in solving this equation for x?
Answers
2(x + 7) + 3x = 12
step 1:
2x + 14 + 3x = 12
Second step would be to add 2x + 14 + 3x so it can be 5x + 14
Third step would be to subtract 14 from both sides
Fourth step would be to subtract 12 - 14 so it can be -2
Last step to get your answer would be to divide both sides by 5
Answer to this whole equation: x = -2/5.
what is the slope-intercept equation of a line that has a slope of -2 and a y-intercept of (0,3)
Answers
-2 represents the constant, or slope, and +3 represents what y equals when x is zero
Hope this helps!
The cost for parking at a parking garage is $2.25 plus an additional $1.50 for each hour. What is the total cost to park for 5 hours?
Answers
The total cost to park for 5 hours is $9.75
the answer is $9.75
Plz help fast will mark brainiest
Determine whether each ordered pair is a solution of y= 2x-4
(3,2)
Yes or No?
Answers
A squirrel climbs 15 feet up a tree. He then runs 8.26 feet down the tree. How much further does the squirrel need to go before reaching the ground?
A)7.36 feet
B)7.26 feet
C)6.74 feet
D)8.11 feet
Answers
Answer:
C
Step-by-step explanation:
pleaseeeeeeeeee help meeeeeeee
Answers
Monica has saved $735 for a new guitar and lessons. her guitar costs $475, and guitar lessons are $25 per hour. determine how many hours of lessons she can afford.
Answers
25h≤260
h≤10.4
10 hours
A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. the box is to hold 9075 in3. how big a piece of cardboard is needed?
Answers
Final answer:
To create a box with a volume of 9075 in3, a 61 in. by 61 in. piece of cardboard is needed after cutting out 3 in. squares from each corner and folding up the sides.
Explanation:
To determine the size of the cardboard needed to construct a box with a volume of 9075 in3 when 3 in. squares are cut from each corner and the sides are folded up, we first need to express the volume of the box in terms of the dimensions of the cardboard. Let x represent the length of one side of the original square piece of cardboard. After cutting out 3 in. squares from each corner, the length and width of the base of the box will be x - 6 inches (since 3 inches are removed from each side), and the height will be 3 inches (the size of the squares cut from the corners).
The volume V of the box can be expressed as V = (x - 6)(x - 6)(3). Given that V = 9075 in3, we can set up the equation 9075 = (x - 6)2 × 3. Solving for x will give us the size of the original cardboard piece.
To solve the equation, divide both sides by 3 to isolate (x - 6)2, which gives 3025 = (x - 6)2. Taking the square root of both sides gives x - 6 = 55, so x = 61. Therefore, a 61 in. by 61 in. piece of cardboard is needed to construct the box.
True or false: there are infinitely many bisectors, but only one perpendicular bisector for any segment.
Answers
Forty-eight pounds of sand are used to fill 12 bags.
Miranda uses the five-step problem-solving plan. After completing the Solve step, how many pounds of sand should she find each bag will hold?
Answers
The sum of three numbers is 45 one number is 10 more than the second number it is also twice the third number find the numbers
Answers
The numbers cannot be uniquely determined with the given information.
Explanation:Let's solve this problem step by step.
Let's assume the second number is 'x'. Since the first number is 10 more than the second number, then the first number can be represented as 'x + 10'.
Since the first number is also twice the third number, the first number can be represented as '2y', where 'y' is the third number.
Now, we can form an equation using the given information: x + (x + 10) + 2y = 45
Simplifying the equation, we get: 2x + 2y + 10 = 45
Further simplifying, we get: 2x + 2y = 35
Dividing both sides of the equation by 2, we get: x + y = 17.5
Now, we have two variables and one equation, which means we have an infinite number of possible solutions. We need more information to determine the actual values of x and y.
Therefore, the numbers cannot be uniquely determined with the given information.
A segment with endpoint a(3,1) and b(-1,1) is rotated 90° about the origin.what are the coordinates of a' and b' ? (geometry 10 a lesson 3 unit 5,if you know the answers to this whole practice pls give them to me pls and tysm)
Answers
As seen, the segment is in quadrant one and two.
For a':
a(3, 1) --> (-3, -1)
For b':
b(-1, 1) --> (1, -1)
As you can see, the coordinate's signs are reversed for each case.
Hope I helped :)
Factor the expression completely over the complex numbers.
y^4+12y^2+36
Answers
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
so multiply both.
(y² + 6)² is the answer.
Answer:
the answer given is not in complex form using i variable
Step-by-step explanation:
There are 6 quarters in a jar .jill adds 2 quarters everyday which linear equation represents the total amount of quarters in the jar after x days
Answers
So after x days, Jill has added 2x quarters.
Which means that after x days, the total numbers of quarters in the jar is:
2x + 6.
So the linear equation that represents the total amount of quarters in the jar after x days is: f(x) = 2x + 6
Hope this helps! :)
y = 6 + 2 = 8 quarters altogether.
When x = 2, we have:
y = 6 + 2 + 2 = 10 quarters altogether.
And when x = 3, we have:
y = 6 + 2 + 2 + 2 = 12 quarters altogether.
Do you notice a pattern here? What's the relationship between the number of 2's and the value of x? How can you use that relationship to come up with a general equation?
An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.
Answers
The current rate is simply equal to $175 per month, let us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
The number of devices connected should be less than 18 (1 to 17 devices) so that the new charges will be less than the old charge.
Given:
The old monthly charge for internet service per household is $175.
The new charges include a fixed pay of $94 plus $4.50 per connected device.
Let x be the number of connected devices.
So, the new charges can be written mathematically as,
[tex]C=94+4.5x[/tex]
Now, the new charge should be less than the old charge. This condition can be written as,
[tex]C=94+4.5x<175\\4.5x<81\\x<18[/tex]
So, the number of devices connected should be less than 18 (1 to 17 devices) so that the new charges will be less than the old charge.
See the attached graph.
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What’s angle CR PQ and CQ?
Answers
CR = CP = 17
PQ = QR = 15
CQ = x^2 +15^2 = 17^2 = x^2 + 225 = 289
x^2 = 289-225 = 64, sqrt(64) = 8, CQ = 8
Find the length of the hypotenuse:
Answers
to find the hypotenuse on the given triangle
divide the given height ( 3sqrt(2) ) by the sin of the given angle (45)
3sqrt(2) / sin 45 = 6
answer is B. 6
The sides of a right-angle triangle are equal when the angle = 45°
[tex] a^2 = b^2 + c^2 \\ a^2 = (3 \sqrt{ 2 })^2 + (3 \sqrt{ 2 })^2 \\ a^2 = 9 \times 2 + 9 \times 2 \\ a^2 = 36 \\ a = \sqrt {36} = 6 [/tex]
Method 2:
(Optional)
Using TOA CAH SOH method
Where:
TOA is Tan θ = Opposite/Adjasent
CAH is Cos θ = Adjasent/Hypotenuse
SOH is Sin θ = Opposite/Hypotenuse
You have an angle of 45° and OPPOSITE the angle is a known length.
These are the 2 information we know.
We need to find the third information, which is the HYPOTENUSE.
Notice the capatialised words start with the letter O ans H?
Find in the TOA CAH SOH the corresponding letters, in this case SOH.
SOH is sin θ = opposite/hypotenuse
Simply substitude in the values and find the hypotenuse!
sin 45° = (3√2)/ hypotenuse
hypotenuse = (3√2) / sin 45° = 6
Answer is B.
And there you go! Both methods can be used and gives the same answer.
However the limitations to method 2 are:
1. It must be a right-angle triangle
2. An angle and a side must be given.
If you think method 2 is too confusing, stick to method 1.
Good luck!
PLZZZZZZZZZZZZ HELP ME!!!!!!!!!!!!
Use the order of operations to simplify this expression.
4 + 0.8 × 1.5 - 3
4.2
3.3
2.2
7.2
Answers
4+1.2-3= 2.2
The first side of a triangle is 2 cm longer than the second side. the third side is 5 cm shorter than twice the second side. the perimeter is 49 cm. find the length of each side.
Answers
Side 2: x
Side 3: 2x-5
Perimeter(sum of the sides)= 49 cm
(x+2)+x+(2x-5)=49
4x-3=49
4x=52
x=13
Side 1=15 cm
Side 2=13 cm
Side 3=21 cm
The sides of the triangles will be 15 cm, 13 cm and 21 cm.
What is a triangle?A closed polygon with three sides, angles and vertex is called triangle.
Given that, the first side of a triangle is 2 cm longer than the second side. the third side is 5 cm shorter than twice the second side and the perimeter is 49 cm.
Let the second side be x, then the sides will be,
x+2, x and 2x-5
∵ Perimeter = 49 cm
∴ x + 2 + x + 2x - 5 = 49
4x-3 = 49
4x = 52
x = 13
Therefore, side will be =
Side 1 = 15 cm
Side 2 = 13 cm
Side 3 = 21 cm
Hence, the sides of the triangles will be 15 cm, 13 cm and 21 cm.
Learn more about triangles, click;
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2. Your Turn: How many elements are in the sample space for spinning a spinner labeled A, B, C, D? *
1 point
1
4
8
16
Answers
Thus, the sample space is {A, B, C,D}.
Therefore, the number of elements in the sample space for spinning a spinner labeled A, B, C, D is 4.
A town's population has been growing linearly. In 2003, the population was 25000, and the population has been growing by 1200 people each year.Write an equation for the population
x
years after 2003.
Answers
y would equal the population of the year and x is the amount of years passed.
let's say a=25000
so steadily each year it increases by 1200
which means the difference between two consecutive years would be 1200 pple
now this is an arithmetic progression
using Tx=a+(x-1)1200
tx= 25000+(x-1)1200
tx=25000+1200x-1200
tx= 23800+1200x
that's the eqn after X years
What is the measure of angle C? 25° 30° 60° 75°
Answers
Answer:
75°
Step-by-step explanation:
PLEASE HELP FAST!!!
Step 3: Solving real-world problems that involve markups
a) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
This is the table
Quantity 0-20 pairs 21-40 pairs 41-60 pairs 61-80 pairs 81 or more pairs
Wholesale Price (per pair) $25.00 each $23.00 each $21.00 each $19.00 each $17.00 each
Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range? (2 points)
Answers
since all the shoes get marked up by 80%
the equation for all of them would be :
y = new price
x = wholesale price
y = 1.8x
Amanda was 48 inches She grew n inches last year and is now 56.5 inches write an expression that represents the number of inches Amanda grew
Answers
HELP PLEASE!
Which equation can be used to find the solution of (1/2)^2x = 32 ?
a) 1/2x=5
b) −2x=5
c) 2x = 5
d) −1/2x=5
Answers
The answer is b, not c. I just completed the quiz and got the question wrong by answering c. :/
Jimmy had $4.52 to spend. He found something he wanted to buy for $6.21. How much would he need to borrow from his friend to make his purchase?
Answers
Answer:
$1.69
Step-by-step explanation:
If he wants to buy something for $6.21 but he only has $4.52, we need to find out the difference between $6.21 and $4.52.
For that, we have to subtract the smallest number from the biggest, that is
$6.21 - $4.52 = $1.69
Therefore, he would need to borrow $1.69 from his friend.
What is the measure of angle 1
Answers
BRAINIEST ANSWER! PLEASE! ABOUT AREA AND PERIMETER!
Answers
each little square = 1 square inch
the design takes up 21 squares so area is 21 square inches
the perimeter = 6 +2+3+3+3+5 = 22 inches
1/4x+5/3x-4=2-1/12x what is the answer ??????
Answers
the answer is x=3
x=3
have a noice day
If she steals 100 buys 70 worth of stuff owner gives u 30 back how much did owner lose