Answers
That's a question about the Pythagorean Theorem.
We use the Pythagorean Theorem to find the value of one side in a right triangle.
This theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse (It's the opposite side the right angle).b and c are cathetus (They're the adjacent sides the right angle).Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of x (the hypotenuse). Let's change this information in that formula.
[tex]a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}[/tex]
Therefore, the value of x is [tex]\sqrt{149}[/tex].
I hope I've helped. :D
Enjoy your studies! \o/
Related Questions
Prove that when a polynomial function p(x) is divided by a first degree polynomial ax + b the remainder is p(-b/a)
Answers
Answer:
r = p(-b/a)
Step-by-step explanation:
Let p(x) = q(x)(ax + b) + r(x) where q(x) is the quotient when p(x) is divided by ax + b and r(x) is the remainder.
Since ax + b is a first degree polynomial, r(x) is one power less than ax + b is is just a constant, r.
So, p(x) = q(x)(ax + b) + r
Now, p(x) = r when q(x)(ax + b) = 0
since q(x) ≠ 0, ax + b = 0 ⇒ ax = -b ⇒ x = -b/a
⇒ p(x) = r when x = -b/a
So, r = p(-b/a)
So, the remainder when a polynomial function p(x) is divided by a first degree polynomial ax + b is p(-b/a)
Jasmine will buy the same number of stamps every month to add to a stamp collection her grandfather gave her. The table shows the number of stamps Jasmine will have at the end of x months. How many stamps was Jasmine given, and how many stamps will she buy every month?
A. Jasmine was given 65 stamps, and she will buy 5 stamps every month.
B. Jasmine was given 60 stamps, and she will buy 65 stamps every month.
C. Jasmine was given 5 stamps, and she will buy 60 stamps every month.
D. Jasmine was given 60 stamps, and she will buy 5 stamps every month
Answers
Answer:
It is D
Step-by-step explanation:
It could be A but if we read the sentence correctly than we should understand about the number of stamps she bought in every month and how much her grandmother gave her.We should also read the options more than 10 times to understand it
Write the ratio 4/7 over 1/8 in simplest form. How is the simplest form of the ratio 4/7 over 1/8 related to the simplest form of the ratio 1/8 over 4/7
Answers
Answer:
Step-by-step explanation:
Ratio = 4/7 : 1/8
[tex]=\frac{\frac{4}{7}}{\frac{1}{8}}\\\\=\frac{4}{7}*\frac{8}{1}\\\\=\frac{32}{7}[/tex]
= 32 : 7
[tex]\frac{\frac{1}{8}}{\frac{4}{7}}=\frac{1}{8}*\frac{7}{4}\\\\=\frac{7}{32}[/tex]
= 7 : 32
Ratio 4/7 over 1/8 is the multiplicative inverse of the ratio 1/8 over 4/7
Last one for this test
Answers
Answer:
1) 0
2) 0
3) 0
Explanation:
Simplify 2(x – 4) – 3(x+2)
Answers
Answer: =−x−14
Step-by-step explanation:
2(x−4)−3(x+2)
Distribute:
=(2)(x)+(2)(−4)+(−3)(x)+(−3)(2)
=2x+−8+−3x+−6
Combine Like Terms:
=2x+−8+−3x+−6
=(2x+−3x)+(−8+−6)
=−x+−14
The height of a doorway is 3 yards. What is the height of the doorway in inches? 1 yard = 36 inches
Answers
Answer:
108
Step-by-step explanation:
3*36=108
Answer:
108
Step-by-step explanation:
36x3
I REALLY NEED HELP ??
Answers
Answer: I believe it is 92
Step-by-step explanation:
You roll a 6-sided die.
What is P(5)?
Write your answer as a fraction or whole number.
Answers
Answer:
1/6
Step-by-step explanation:
there is one 5 on the die. therefore the chance of rolling a 5 is 1/6
The required probability P(5) = 1/6.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
The die has only one 5 on it.
The number of favorable outcomes = 1
There are the total outcomes as {1, 2, 3, 4, 5, 6}
So the total number of outcomes = 6
Required probability P(5) = 1/6
Hence, the chance of rolling a 5 is 1/6
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Need answer plz help
Answers
Answer:
138.16
Step-by-step explanation:
multiply them all together
What is the value of \log_7 343log
7
343?
Answers
Answer:
3
Step-by-step explanation:
on delta math
A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving how meany servings can be made using 1 gallon?
Answers
Answer:
128 servings
Step-by-step explanation:
16 cups in a gallon
1.25 cups /10 servings = .125 cups per serving
16 cups / .125 = 128 servings
Which answer choice shows 7.08 rounded to the nearest half? A. 7 B. 7.5 C. 8 D. 8.5
Answers
Answer:
A. 7
Step-by-step explanation:
as only 0.08 away
7.5 is a large 0.42 away
Screw hooks are used to hang plants and others decorations from walls and callings the graph shows the total mass in grams of a can based on the number of screw hooks in the can
Which of the following answers is the interpretation of the y-intercept of this graph and why explain ?
A. The mass of the can only
b. The mass of the 1 screw
C the mass of 10 screw hook
D the mass of the can and x screw books
Look at picture will give brainlist:)
Answers
Answer:
I think c I'm not to sure and ur hecka prettyyy
What are the zeros of the function f, where f(x)=6x^2-9x-6
Answers
Answer:
x=NEGATIVE 1/2, POSITIVE 2
Step-by-step explanation:
Just use math.waycom
The non-negative zero of the function f(x) is x = 2.
What are zeros of quadratic function?The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
here, we have,
For a given function f(x), the "zeros" of the function are the values of x such that:
f(x) = 0
In this case, we have the function:
f(x) = 6*x^2 - 9*x - 6
If we want to find the zeros of this function, we need to solve:
f(x) = 0 = 6*x^2 - 9*x - 6
To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:
0 = a*x^2 + b*x + c
The zeros are:
x = -b ±√b² - 4ac / 2a
In this case our equation is:
0 = 6*x^2 - 9*x - 6
then, in the above notation, we have:
a = 6
b = -9
c = -6
Replacing these in our general formula, we get:
x = 9±15 /12
Then we have two zeros:
x = (9 + 15)/12 = 24/12 = 2
x = (9 - 15)/12 = -6/12 = -1/2
But we want only the non-negative, so we can discard the second one.
Concluding, the non-negative zero of the function f(x) is x = 2.
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PLEASE HELP MEEE I'm failing and I need to pass:(
Answers
Answer:
girl/boy use photomath if ur failing or just use these.
Step-by-step explanation:
11. 5x^2-6x-12
12. 2x(4y+5x)
13.3y^2+16xy
if you need the rest use photomath I am sure it will come to the same answers I got.
I need help please!
Ap calculus
Answers
Answer: 15 sq. units
Step-by-step explanation:
Given
[tex]f(x)=\ln (2)2^x[/tex]
The area bound by it from x=0 to x=4
Using integration
[tex]I=\int_{0}^{4}f(x)dx[/tex]
[tex]I=\int_{0}^{4}\ln(2)2^xdx[/tex]
[tex]I=\left [ \dfrac{\ln (2)2^x}{\ln (2)} \right ]_0^4[/tex]
[tex]I=\left [ 2^x \right ]_0^4[/tex]
[tex]I=2^4-2^0\\I=16-1=15\ sq.units[/tex]
1. Evaluate algebraic expression for the given value of "y". 6y -5 for y =7
Answers
-5
———
37
HELP ME
ANSWER THIS QUESTION
DONT ANSWER WITH A LINK
Answers
so 21/7 = 3/1
16/4=4/1
Answer:
3/1.....4/1
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answers
Answer
why can i not see the pictures....
Step-by-step explanation:
What is 25x 14=?
And how do I check where I can see how many brainliest I have, Can or can I do that?
First to answer and tell me where and if I can gets brainliest, heart, and stars.
Answers
Answer:
350 also I don't care about brainiest
Answer: 350
Step-by-step explanation:
Just do 25x14=350. And yes you can check brainless just go to your profile by tapping on your name or picture.
Identify the slope and y-intercept of the graph of the equation y=12x−5 . slope:__
Answers
Y=mx+b
Slope = m
y-intercept = b
Therefore the slope is 12 and the y-intercept is -5
The slope is 12 and y- intercept is -5.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
y=12x−5
Now, from slope- intercept form
y = mx + b
where m is the slope and b is the y intercept.
Now, Comparing with given equation
m= 12 and b= -5
Hence, the slope is 12 and y- intercept is -5.
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On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal
distance from the y-axis to the same point. What is sino?
1/5 Sqrt5/5 2 sqrt5/5 2
Answers
Answer:
1/5
Step-by-step explanation:
HELP GIVING BRAINIEST
1 If angle DAC is 40 degrees how many degrees is Angle ACD. Show all of your work. Show Your work
Answers
Answer:
m<ACD = [tex]50^{o}[/tex]
Step-by-step explanation:
From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.
In the triangle ACD:
<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)
<ACD + 40 + 90 = 180
<ACD + 130 = 180
<ACD = 180 - 130
<ACD = [tex]50^{o}[/tex]
With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is [tex]50^{o}[/tex].
if BA=8, DE=4 and CB=8, what is the length of EF?
a.4
b.8
c.16
d.6
Answers
Answer:
a) EF = 4
Step-by-step explanation:
CB/DE = BA/EF
8/4 = 8/EF
8EF = 4 x 8
EF = 4
Write 45 cents as a percentage of 18 dollars
Answers
12.
A website tracks the number of users it has at the
end of each of its first 30 days since going online.
The equation y = 15(1.03)" shows the relationship
between the number of days since the website
went online, x, and the number of users it has, y.
What does 1.03 represent in the equation?
A.
The number of users increases by 3 each day.
B. The number of users increases by 103 each
day.
C.
Each day after the first, the number of users
is 3% greater than it was the day before.
D. Each day after the first, the number of users
is 103% greater than it was the day before.
Answers
I day choice D.
Why D?
Well 103% = 1.03 as a decimal.
You are missing x in your equation.
Jayden goes to the market and purchase some fruit . There are 10 pieces of fruit in the basket including 4 apples. What is the probable that a randomly selected piece of fruit will be an apple
Answers
Answer:
4/10
Step-by-step explanation:
total number of fruit pieces : 10
number of apple pieces : 4
probabilty of ( picking and apple ) = favourbale outcomes / total outcomes
= 4/10
write 9/8 in atleast 3 different ways as a sum of fractions
Answers
Answer:
1/8+1 OR 1/8 +8/8
2/8+7/8 OR 1/4+7/8
3/8+6/8 OR 3/8+3/4
The fraction 9 / 8 can also be written as [1/8 + 8/8] , [2/8 + 7/8] , [3/8 + 6/8]
What is a fraction?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
Given data ,
The number = 9 / 8
The number can be written as the sum of two different fractions as
a) 1/8 + 8/8 = (1+8)/8
= 9/8
b) 2/8 + 7/8 = (2+7)/8
= 9/8
c) 3/8 + 6/8 = (3+6)/8
= 9/8
Hence ,
The fraction 9 / 8 can also be written as [1/8 + 8/8] , [2/8 + 7/8] , [3/8 + 6/8]
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PLEASE HELP DUE IN 10 MINUTES!!!!! A smartphone originally worth $790 loses value at a rate of $175 each year. Write an equation to represent the value of the phone, then find value of the phone after 4 years. (please someone write the equation is slope intercept form!!!)
Answers
Answer:
Step-by-step explanation:
y=790x-175
Samuel spends $8 on lunch. The tax rate is 9%. What is his total cost?
Answers
Answer:
$8.72
Step-by-step explanation:
Since the tax rate is 9% of the lunch cost, the tax for this lunch is .72 dollars since 9% of 8 is 0.72(see math below). You add the 0.72 to 8 and the total cost is $8.72.
8 x (9/100) = tax
8 x 0.09 = 0.72
8+0.72 = $8.72