Answers
Answer:
x = 30
Step-by-step explanation:
here 50 is hypotenuse as it is opposite of 90 degree.
x and x + 10 are the two other smaller sides of a right angled triangle respectively.
using pythagoras theorem,
a^2 + b^2 = c^2
x^2 + (x + 10)^2 = 50^2
x^2 + x^2 + 20x + 100 = 2500
2x^2 + 20x + 100 = 2500
2x^2 + 20x + 100 - 2500 = 0
2x^2 + 20x - 2400 = 0
2(x^2 + 10x - 1200) = 0
x^2 + 10x - 1200 = 0
x^2 + (40 - 30) - 1200 = 0
x^2 + 40x - 30x - 1200 = 0
x(x + 40) - 30(x + 40x) = 0
(x + 40)(x - 30) = 0
either x + 40 = 0 OR x - 30 = 0
x = 0 - 40
x = -40
x - 30 = 0
x = 30
x = -40,30
since the length and distance is not measured in negative ur answer will be 30
credit goes to sreedevi102
thank u very much . At first i was wrong and giannathecookie i m really sorry
Answer:
x = 30
Step-by-step explanation:
Using Pythagoras Theorem:
[tex]x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30[/tex]
Since x is the measurement of a side, it can't be negative. Therefore x = 30
Related Questions
Here is a picture and thank you
Answers
Because that expression simplified is 3x - 9x ³. Expand that and it gives you: 3x(1- 3x ²).
Pleaseeeeee help meee
Answers
Answer:
Surface area of sphere = 1,344.8 m² (Approx)
Step-by-step explanation:
Given:
Volume of sphere = 1,476π m³
Find;
Surface area of sphere
Computation:
Volume of sphere = [4/3]πr³
1,476π = [4/3]πr³
1,476 = [4/3]r³
[1,476][3/4] = r³
1,107 = r³
r = 10.35 m (Approx.)
Surface area of sphere = 4πr²
Surface area of sphere = 4(3.14)(10.35)²
Surface area of sphere = 4(3.14)(107.1225)
Surface area of sphere = 1,345.45
Surface area of sphere = 1,344.8 m² (Approx)
Dan buys a car for £1700. It depreciates at a rate of 4% per year. How much will it be worth in 4 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
1428
Step-by-step explanation:
1700x0.04=68 (How much the car will decrease per year)
68x4=272 (How much the car will decrease in four years)
1700-272=1428 (Value of car in four years)
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Find the surface area of the rectangular prism shown below.
6 in.
(15 in
12 in
Answers
Answer:
684 in^2
Step-by-step explanation:
SA = 2 ( l*w + l*h+ w*h)
SA = 2( 6*15 + 6*12+ 15*12)
= 2( 90+72+180)
= 2(342)
= 684 in^2
In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers, If Anju's scores in four successive rounds were -14, 15, -11 and 20. What was her total at the end.
Answers
Answer:
10
Step-by-step explanation:
-14+15 leaves a positive 1
-11+20 leaves a positve 9
add.
Find the measure of angle 1
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answers
Answer:
∠ 1 = 128°
Step-by-step explanation:
∠6 = 7x + 3 [ vertically opposite angles ]
∠6 = 4x + 24 [ corresponding angles ]
7x + 3 = 4x + 24
7x - 4x = 24 - 3
3x = 21
x = 7
∠1 + ( 4x + 24 )= 180° [ straight line angles ]
∠1 + 4 ( 7 ) + 24 = 180° [ Substituting x = 7 ]
∠ 1 + 28 + 24 = 180°
∠ 1 = 180 - 24 - 28
∠ 1 = 128°
2 x 2 + 7 x − 10 and x-5 in standard form
Answers
PLS ANSWER ILL GIVE BRAINLIEST
A t-shirt that usually costs p dollars is available at a discount. Drag and drop two expressions to show the correct price of the shirt in the spaces provided.
0.3p 0.7p 0.93p 0.97p 1.3p
the price of the t-shirt after 30% discount:
the price of the t-shirt after 70% discount:
Answers
Answer:
The price after a 30% discount would be 0.3p and the price after a 70% discount would be 0.7p.
Step-by-step explanation:
When you turn the percentages into decimals, 30% will be changed into 0.3, and when you change 70% into a decimal, it would be 0.7 (Move the decimal at the end two spaces over to the right like this: 70.% -> 7.0 -> 0.7)
Find the volume of each shape.
Answers
Step-by-step explanation:
V=LWH L is the length, W is the width and H is the height.
12×6×3=216
2.V=Ah A is the area of the base, h is the height
18x16=288
3.V=LWH L is the length, W is the width and H is the height.
10x14x5=700
( 4^ 5 4^ 1 4 4^ 1 2 )^ 1 2 Which expression is equivalent to root(15, 4 ^ 5); sqrt(2 ^ 5) 2
Answers
Answer:
All I know is it isn’t B. Sqrt 2^5
Step-by-step explanation:
Tìm tập xác định x4/4-x2/2+1
Answers
Answer:
Bạn ghi rõ hơn được không?
Nếu là (x^4)/4 - (x^2)/2 + 1 thì không có nhé
I'll give branliest! please help!!
Answers
Answer:
Step-by-step explanation:
So we know angles A and B add up to 180 degrees.
This gives us x+2 + 2x+4
We can simplify this to 3x+6 = 180
3x = 174
x=58
Now we know value of X, we can use it to find A's angle
Since, a = x + 2
a = 60
In parallelogram FGHJ if m∡ GHJ=55˚ find m∡FGH
Answers
Answer:
∠ FGH = 125°
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, then
∠ FGH + ∠ GHJ = 180° , that is
∠ FGH + 55° = 180° ( subtract 55° from both sides )
∠ FGH = 125°
Answer: m∠FGH = 125°
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary (add up to 180°).
From the diagram, we can see that m∠GHJ and m∠FGH are adjacent.
This means that:
m∠GHJ + ∠FGH = 180° where ∠FGH is ∠x and ∠GHJ = 55°
55° + m∠x = 180° (subtract 55 from both sides)
m∠x = 125°
2. Out of 500 students appearing in an examination, the number of students who passed in mathematics only is twice the number of students who passed in science only. If 120 students passed in both subjects and 140 students failed in both subjects, then Find the ratio of the students who passed in mathematics to the students who passed in science.
Answers
Answer:
60 to 60
Step-by-step explanation:
It says 120 students passed in both and mathematics is only twice so 120 divided by 2 is 60
Name the marked angle in 2 different ways.
Answers
Angle LNM and angle MNL
pls follow and mark brainliest
Solve. Please hurry, I am on a timer.!! I need your help QUICK!
A. -2 1/4
B. -8 2/3
C. -9 1/4
D. 2 1/4
Answers
Answer:
-9 1/4
Hope that this help!
cabe nur
- -
3,7,10,11,27-22
f 1,3,6.10.15...
Cube numbers.
a to Write down the axt
Ence
bo se quences:
4 terms in each of the
โถ
og h, 2.10.13.16.19 -
Write down the next 4 numbers in 4,7,10,13,16,19
Answers
Answer:
22, 25, 28, 31
Step-by-step explanation:
The question is mixed up. The only clear question is:
Given:
4, 7, 10, 13, 16, 19
Required
Write the next 4
Notice that the rule of the above sequence is to "add 3". So, the next 4 numbers is gotten by adding 3 to the previous number on the sequence.
The next 4 are:
[tex]19 + 3 = 22[/tex]
[tex]22 + 3 = 25[/tex]
[tex]25 +3 = 28[/tex]
[tex]28 + 3= 31[/tex]
graph: y=-4sin(2x)+1 where the x axis starts at 30
Answers
Answer:
We want to graph:
y = -4*sin(2*x) + 1
Such that the x-axis starts at x = 30
This is trivial to do if we use a program to graph or if we graph by hand, here we just need to draw the x-axis such that it crosses the y-axis at the point (30, 0)
Then let's graph the equation in that axis, we will get an image like the one you can see below.
Change the following algebraic expressions to the statement in words: i. 3mn +7 ii. xy + (x+y)
Answers
Answer:
i) 3*m*n + 7
Then we can write the first term as:
"3 times the product between two numbers"
Where the product of two numbers is m*n
And after that we need to add 7, then the complete sentence is:
"3 times the product between two numbers, increased by 7"
ii) x*y + (x + y)
The first part, x*y, can be written as:
"the product of two numbers"
where the two numbers are the number x and the number y.
After that, we add the sum of these two numbers, then the complete sentence can be:
"the product of two numbers, plus the sum of these two numbers"
PLEASE HELP
School ends in 4 days and I still have so much work to do and I understand none of it!!
Can someone please help me understand this
Answers
Answer:
Step-by-step explanation:
l = 34 cm
height = 30 cm
radius = 16 cm
surface area of cone = πr (l +r)
=3.14 *16 (34 + 16)
=50.24*50
=2512 cm^2
volume of a cone = [tex]\frac{1}{3}[/tex]πr^2h
=[tex]\frac{1}{3}[/tex]*3.14*16^2 *30
=1.0466*256*30
=8037.888
=8037.89 cm^3
What are biofertilisiers
Answers
Answer:
Step-by-step explanation:
biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals
Answer:
Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.
Step-by-step explanation:
Hope this helps
how many solutions does the nonlinear system of equations graphed below have?
Answers
Express y in terms of x in the equation =
Answers
The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)
a
{−1, 1, 3}
b
{−1, −1, 1, 3}
c
{−4, −2, 2, 2}
d
{−4, −2, 2}
Answers
The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.
Given the set of relations below:
R = {(3,-2), (1,2), (-1,-4), (-1,2)}
The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.
Answer
{-1,1,3}Please help, how do you write 4.06 in word form and expanded form?
Answers
Answer:
four and six one hundredths
406/100
4.06 = (4 x 1) + (0/10) + (6/100)
A simple way to describe a Coefficient?
Answers
Answer:
A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.
Step-by-step explanation:
Hope it helps
Answer:
A number placed before and multiplying the variable in an algebraic expression (e.g. [tex]4[/tex] in [tex]4x[/tex]).
Step-by-step explanation:
Hope this is helpful.
Which fraction converts to a repeating decimal number?
CA.
1
12
B.
718
C.
127
27
D.
E.
6
10
Reset
Answers
Answer: A.
Step-by-step explanation:
Data: Fraction that turning into a repeating decimal number=x
Only step: Divide all the fractions, 1/12, 7/8, 14/25, 17/20, 6/10
Explanation: The only way to find which fraction turns into a repeating decimal is by dividing all the fractions, this can be done in any order but for this problem, lets start with 1/12 which, when divided, turns into 0.083... which is a repeating decimal
With that being said, the answer would be A.(1/12)
I hope this helps(Mark brainliest if you'd like to)
which of the following are good questions to ask when trying to understand a problem A is the variable always positive negative or either B what is the variable C what is a logical name for a variable D does my guess satisfy the equation E what are the units of the variable F now should i present
Answers
A
D
E
F
When solving a problem we must understand what variable represents as well as its units.We must also understand what types of numbers it could be,whether positive,negative,decimals,fractions,etc
express 0.27272727......... in the form of p/q
Answers
Hello,
[tex]0.\overline{27}=\dfrac{27}{99} =\dfrac{9}{33} =\dfrac{3}{11}[/tex]
9/10 divided by 3/5 in simplest form
Answers
Answer:
3/2
Explanation:
To divide by a fraction multiply by the reciprocal of that fraction
9/10×5/3
reduce the numbers with greatest common factor 3
3/10×5
reduce the numbers with the greatest common factor of 5
3/2 is your answer
The fraction 9/10 divided by 3/5, in simplest form, is 3/2.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/5 is 5/3.
So, we have:
(9/10) ÷ (3/5) = (9/10) x (5/3)
Next, we multiply the numerators and denominators:
= (9 x 5) / (10 x 3)
= 45/30
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:
= (45/15) / (30/15)
= 3/2
Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.
Learn more about Fraction here:
https://brainly.com/question/10354322
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