Answers
Answer:
[tex]\huge\boxed{x=2\sqrt{286}}[/tex]
Step-by-step explanation:
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=x\\leg=15\\hypotenuse=37[/tex]
Substitute and solve for x:
[tex]x^2+15^2=37^2\\\\x^2+225=1269\qquad|\text{subtract 225 from both sides}\\\\x^2+225-225=1269-225\\\\x^2=1144\to x=\sqrt{1144}\\\\x=\sqrt{4\cdot286}\\\\x=\sqrt4\cdot\sqrt{286}\\\\x=2\sqrt{286}[/tex]
Related Questions
What is the slope of the line 4x-2y=5
Answers
Answer:
slope = 2
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Edgen 2023
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x?
A. Subtract 1 from both sides to combine like terms
B. Add 4x to both sides to isolate the variable
C. Distribute the 6 to eliminate the parentheses
D. Combine 4x and -5 to simplify the problem
Answers
Answer:
C.
Step-by-step explanation:
c is the only one that even makes sense
C. Distribute 6 to eliminate the parentheses.
What are some rules to solve an equation ?To solve an equation we follow BODMAS rule which stands for first solving which are inside brackets then we divide terms to each other if division is given.Then we multiply terms if multiplication is given.Next step we add terms if given.In last we do subtraction if it is in the given expression.If any of these operations are not given we just skip and do the next operation according to the BODMAS rule.
According to the given question
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5.
6( 2x + 1 ) - 3 = 4x - 5
12x + 6 - 3 = 4x - 5
12x + 3 = 4x - 5
12x - 4x = - 5 - 3
8x = - 8
x = -8/8
x = -1
Learn more about BODMAS rule here :
https://brainly.com/question/23827397
#SPJ6
Evaluate -8 - 21.
-10
-16
16
10
Answers
Answer:
Evaluate -8 - 21.
-10
-16
16
10
There are approximately 7.5 x 10^18 grains of sand on earth. There are approximately 7x10^27 atoms in and average human body. Are there more grains of sand on earth or atoms in a human body?
Answers
There are more atoms in a human body because 7.5*10^18 is less than 7*10^27.
When Carla looked at the library, she noticed that for every 2 nonfiction books, there were 5 fiction books. If there are 161 books total, how many of them are not nonfiction books.
Answers
Answer:
138 nonfiction
Step-by-step explanation:
Ratio problem, we are going to use the part to all approach
Step one:
given data
the ratio of nonfiction to fiction books is 2 to 5
otherwise expressed as 2:5
the total ratio is 2+5= 7
the total number of books is 161,
applying the part to all approach
nonfiction to all is
let the nonfiction be x
2/7=x/161
cross multiply we have
7x= 161*6
7x=966
divide both sides by 7
x=966/7
x=138 nonfiction
138 nonfiction
24 POINTS.
(U also have to explain the reasoning you used to find the value of P)
Answers
9514 1404 393
Answer:
P = 70 +4x
Step-by-step explanation:
From your previous work with the parking lot, you know its area is ...
A = 560 +32x
The width of the parking lot extension is (52 -20 -24) = 8 yards, so its area is ...
extension area = 8P
We want the extension area to be equal to the original area so that adding the extension will double the area:
extension area = A
8P = 560 +32x
P = 70 +4x . . . . . . divide by 8
If the ice cream truck sales 90 ice cream cones, how hot could you predict it was outside?
0 95
105
102
O
100
Answers
Answer:
It would most likely be in the 100's so maybe 105
Roman civilization began in 509 BC and ended in 476 A.D Roman civilization last show working
Answers
Answer:
Roman civilization lasted for 985 years.
Step-by-step explanation:
Given that Roman civilization began in 509 BC and ended in 476 A.
All we have to do is to subtract -579 from 476.
i.e.
[tex]476 - (-509)[/tex]
[tex]=476+509[/tex]
[tex]=985[/tex] years
Thus, Roman civilization lasted for 985 years.
4) Rosemary had $25 to spend on school supplies. She buys 4
packages of mechanical pencils. After her trip to the store, she onl
has $1 left. How much did each pack of pencils cost?
Answers
Answer:
Each pack costed 6 dollars
Step-by-step explanation:
Answer:
Each pack costs 6 dollars
Step-by-step explanation:
4x+1=25
4x=24
X=6
9x-4y=17 for y
answer it for me plz
Answers
Answer:
9x-4y=17
-4y=-9x+17
y=9/4x+17
Step-by-step explanation:
REALLY NEED HELP PLEASE!!
Answers
Step-by-step explanation:
sum of angles in triangle is 180
so 80 + 40 + angle 2 = 180 angle 2 = 60
say they wanna read my mind.. they really wanna read my mind.. telling you rn all you’ll find is a lost soul rich and blind
Answers
They want to read my mind they really want to read my mind.
Please anyone help me
Answers
Answer: Are we supposed to solve for y or?
Step-by-step explanation:
warning: sorry if this doesn't make sense but this all i can get out of this one
-2x + y = -9
x = 9/2 + y/2
y = -9 + 2x
------
same warning here
12x + 3y = 9
x =3/4 - y/2
y = 3 - 4x
sorry if this doesn't help but i hope it does
Help me with the questions 1-4, thank you! :)
Answers
Answer:
1) Slope is 2/1 and the y-intercept is 2 --> y = 2x+ 2
2) Slope is -1/3 and the y-intercept is -3 --> y = -1/3x -3
The images for question 3 and 4 are below:
The equations for
3) y = 1/3x - 5
4) y = -2x-8
Step-by-step explanation:
Ben is going to an amusement park with his scout troop. He has $80 in his wallet. If admission costs $18.95, a book of ride tickets costs $26.50, and lunch costs $9.20, round each amount to the nearest dollar to find out about how much Ben will have left to buy a souvenir. A. $15 B. $25 C. $32 D. $38
Answers
Answer:
B
Step-by-step explanation:
because thats what google say lol
I would greatly appreciate it if you would help me
Answers
Answer:-1
Step-by-step explanation:
the output of a function is the y value while the input is the x value.
so the question is asking what does the y value( output) have to be for the x value( input) to be zero.
since the graph is provided we can just look to see where the x values becomes zero ( the y axis is when all y values are zero)
we then can identify that the y intercept is -1
hope this helps!!
Graphing two-variable linear equalities
Answers
Answer:
What is the problem so we can help you
Jessica rode her bike for 2 hours at the speed of 23 miles per hour. How far did she travel?
Answers
answer is 46
Raymond bought a book that cost C = 1.065x after sales tax. How could he rewrite the cost equation to emphasize the base price of the book and the amount he paid in tax? C= x + 0.065 A B. C= x + 0.065x с C=1+ 0.065 D C=1+ 0.0652
Answers
Answer:
C
Step-by-step explanation:
The choir at wise middle school was preparing for their Hispanic concert. While rehearsing their opening song they noticed it took 48.7 seconds to sing it.They felt it was too long and sang it again taking off 2.9 seconds from the original time. The third time they sang it they were able to take an additional 0.47 seconds off their time. How long did it take the choir to sing the song the third time?
Answers
Answer:
45.88 seconds
Step-by-step explanation:
[tex]t_1[/tex] = Time taken to sing the fist time = [tex]48.7\ \text{s}[/tex]
Time taken to sing the second time was [tex]2.9\ \text{s}[/tex] less than the first time so
[tex]t_2=t_1-2.9\\\Rightarrow t_2=48.7-2.9\\\Rightarrow t_2=45.8\ \text{s}[/tex]
Time taken to sing the third time was [tex]0.47\ \text{s}[/tex] less than the the second time
[tex]t_3=t_2-0.47\\\Rightarrow t_3=45.8-0.47\\\Rightarrow t_3=45.88\ \text{s}[/tex]
So the time it took the choir to sing the third time was 45.88 seconds.
Explain why the slope of the line drawn in part C must be negative.
Answers
because it is a negative line in the graph
Does anyone know what the answer is ?
Answers
Answer:
x intercept : -3,0 y intercept : 0,6
Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?
Answers
Answer:
7 days
Step-by-step explanation:
Bamboo plant A = 1.2 + 0.45d
Bamboo plant B = 0.85 + 0.5d
Where,
d = number of days
Equate the two growth
Bamboo plant A = Bamboo plant B
1.2 + 0.45d = 0.85 + 0.5d
Collect like terms
1.2 - 0.85 = 0.5d - 0.45d
0.35 = 0.05d
Divide both sides by 0.05
d = 0.35 / 0.05
d = 7 days
Plant B be taller than Plant A after 7 days
help me please with this question
Answers
Answer:
see explanation
Step-by-step explanation:
2B + 3C
= 2 [tex]\left[\begin{array}{ccc}4&-5\\-2&1\\\end{array}\right][/tex] + 3 [tex]\left[\begin{array}{ccc}1&-1\\-6&3\\\end{array}\right][/tex]
Multiply each element in the matrices by the scalar quantity, that is
= [tex]\left[\begin{array}{ccc}8&-10\\-4&2\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3&-3\\-18&9\\\end{array}\right][/tex]
Add corresponding elements from each matrix
= [tex]\left[\begin{array}{ccc}8+3&-10-3\\-4-18&2+9\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&-13\\-22&11\\\end{array}\right][/tex]
two fair dice are rolled. the score is the difference between the two dice. some of the possible scores are shown in the table.
c) which score has a probability of occurring 1/18
Answers
Answer:
Step-by-step explanation:
a). From the table attached,
Number in 1st column and 1st row = 1 - 1 = 0
Number in 1st column and 6th row = 6 - 1 = 5
Number in 2nd column and 4th row = 4 - 2 = 2
Number in 5th column and 2nd row = 5 - 2 = 3
Number in 6th column and 5th row = 6 - 5 = 1
b). Probability of scoring 1 = [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]
Preferred outcomes of getting = 10
Total outcomes = 36
Probability of scoring 1 = [tex]\frac{10}{36}[/tex]
= [tex]\frac{5}{18}[/tex]
c). Probability of occurring a score = [tex]\frac{1}{18}[/tex]
= [tex]\frac{1\times 2}{18\times 2}[/tex]
= [tex]\frac{2}{36}[/tex]
= [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]
Since, 5 is a number which has occurred twice
Score that has a probability of occurring of [tex]\frac{1}{18}[/tex] is 5.
Which numbers are integers
4
-3
42/6
-5.6
5.423
-54
98
54/6
Answers
In the number 707B47.B is a prime number.If the number is rounder off to 3sf its value is 708000 what is the biggest value of B
Answers
The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.
Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.
Helps me solve this problem please
Answers
Answer:
Option 1: -2
Step-by-step explanation:
Take the rise over the run, where rise is the number of units vertically up the graph and run is the number of units horizontally across the graph
This is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!
Elena knows that 5 servings of granola have 1,750 calories. if she eats 2 servings of granola,how many calories dose she eat
Answers
Answer:
700 calories
Step-by-step explanation:
1,750/5
=350
350colories per serving
So multiply 350 by 2
350x2
=700
Answer:
Elena eats 700 calories
Step-by-step explanation:
First, we need to find out how many calories are in one serving of granola. To do that, we will divide; 1750/5=350. We now know that there are 350 calories in one serving of granola. However, the problem is asking for how many calories are in two servings of granola. 350 x 2 = 700. Therefore, Elena eats 700 calories.
)A triangle is shown on the graph:
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
Answers
Answer:
45
Step-by-step explanation:
Answer:
45 idrk
Step-by-step explanation:
SCOOBY-dooby-do-la-de-da-de-da