Answers
The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
What is an Equation?
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
√( 1 + (25/144) ) = 1 + (x/12)Find the value of x.First, we square both sides
√( 1 + (25/144) ) = 1 + (x/12)
(√( 1 + (25/144) ))² = (1 + (x/12))²
1 + (25/144) = 1 + ( x²/144)
Collect like terms
1 - 1 + (25/144) = ( x²/144)
25/144 = x²/144
We cross multiply
25 × 144 = x² × 144
Multiply each sides by 1/144
x² = 25
x = √25
x = 5
Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
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Related Questions
If sis equal to 16,c is equal to 14m and b is equal to 19m ,find the angles of 5he triangle ABC with following work steps
Answers
Answer:
Below in bold.
Step-by-step explanation:
a = 16, b = 19 and c = 14.
By the Cosine Rule:
cos A = (a^2 - b^2 - c^2) / -2bc, so:
cos A = ( 16^2 - 19^2 - 14^2) / (-2*19*14)
= -301 / - 532
= 0.565789
m < A = 55.54 degrees.
Now Using the Sine Rule:
a / sin A = b / sin B
16 / sin 55.54 = 19/sin B
sin B = 19 * sin 55.54 / 16
= 15.666 / 16
= 0.979125
m < B = 78.27 degrees.
Finally
m < C = 180 - 55.54 - 78.27 = 46.19 degrees.
If m8=23, find each measure. Give your reasoning
Answers
The measure of each angle and their reasoning are explained for all in the explanation below.
We are given that;
m∠8=23°
a). From the given image, we see that;
m∠1 and m∠8 are supplementary angles and as such they sum up to 180°;
Thus; m∠1 + m∠8 = 180°
m∠1 = 180° - m∠8
m∠1 = 180 - 23
m∠1 = 157°
b). We see that m∠1 and m∠2 are angles that form a straight line.
Sum of angles on a straight line equals 180°. Thus;
m∠1 + m∠2 = 180°
m∠2 = 180 - 157
m∠2 = 23°
c). We see that m∠3 and m∠1 are vertically opposite angles and they must be equal. Thus
m∠3 = m∠1
Thus; m∠3 = 153°
d). We see that m∠4 and m∠2 are vertically opposite angles and they must be equal. Thus
m∠4 = m∠2
Thus; m∠4 = 23°
e). We see that m∠5 and m∠1 are corresponding angles and are therefore equal. Thus;
m∠5 = m∠1
m∠5 = 157°
f). We see that m∠6 and m∠8 are vertically opposite angles and as such;
m∠6 = m∠8
Thus, m∠6 = 23°
g). We see that m∠7 and m∠5 are vertically opposite angles and are therefore equal. Thus;
m∠5 = m∠7
m∠5 = 157°
Divide
please help I will mark as brainliest
Answers
Answer: Heyaa!
Your Answer Is.. 16
Step-by-step explanation:
A.
Hopefully this helps you!
- Matthew
Answer:
16
Step-by-step explanation:
Dividing 2 fractions is the same as multiplying the fraction in the numerator with the inverse of the fraction in the denominator.
Therefore,
[tex]\frac{-20}{3}[/tex] ÷ [tex]\frac{-5}{12}[/tex][tex]-\frac{20}{3}[/tex] × [tex]-\frac{12}{5}[/tex]Note : -ve signs cancel out, cross multiply 20 and 5 to get 4, and cross multiply 12 and 3 to get 4⇒ 4 x 4⇒ 162. 20+(5 X 2/5 )+ 3 please answer with process not just answer thanks
Answers
Answer:
[tex]25 \: or \: {5}^{2} [/tex]
Step-by-step explanation:
Simplify It
[tex]20 + 2 + 3[/tex]
Then calculate it.
[tex]20 + 2 + 3 = 25[/tex]
Answer:
25
Step-by-step explanation:
Given:
20+(5 × 2/5 )+ 3
Solve:
Using the PEMDAS
Which is:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
Thus we have:
20+(5 × 2/5 )+ 3 {5 × 2/5 = 2}
= 20 + 2 + 3
= 22 + 3
= 25
Kavinsky
Can you please help answer will make you brainliest
Answers
Answer:
C
Step-by-step explanation:
given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] bc sinA
the 2 sides are b = 4, c = 6 and ∠ A = 35° , then
A = [tex]\frac{1}{2}[/tex] × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )
What is
-7+13+8X -2
Please help meee step by step
Answers
Answer:
-1/2 = x
OR
-0.5 = x
Step-by-step explanation:
1) Isolate x from the equation by making it equal to zero
(Reminder that everything crossing over to the other side of the equation changes it's symbols from positive to negative, and vice-versa is the original symbol was negative)
-7 + 13 + 8x - 2 = 0
-7 + 13 - 2 = -8x
2) Add up common terms on the left side
-9 + 13 = -8x
4 = -8x
3) Divide the entire equation by the number that would leave "x" by itself the factor or number that leaves the number by itself is negative eight since its the number with the equation (-8)
4/-8 = -8x/-8
-1/2 = x
OR
-0.5 = x
Hope this helps :)
Also, if you can is it ok if you can give me brainliest on this?
PLS HELP!! I THIS IS WORTH 200 PTS!! I WILL MARK BRAINIEST WHEN SOMEONE ANSWERS FIRST
Answers
Expression: 5z² - 2z + 1 = 0
Discriminant formula: b²- 4ac
Identify: a = 5, b = -2, c = 1
Solve for discriminant: (-2)²- 4(5)(1) = 4 - 20 = -16
15)1st equation: 1m - 1p = 2p = 1 also can be rewritten as 2nd equation: 0m + 1p = 1
Build Augment Matrices by taking coefficient's:
[tex]\left[\begin{array}{ccc}1&-1&|| \ \ 2\\0&1&|| \ \ 1\end{array}\right][/tex]
Solve:
Add row 2 to row 1 : R₁ = R₁ + R₂ and restore it back
[tex]\rightarrow \ \left[\begin{array}{ccc}1+0&-1+1& \ \ \ \ || \ 2+1\\0&1&|| \ \ 1\end{array}\right][/tex]
[tex]\rightarrow \ \left[\begin{array}{ccc}1&0& || \ \ 3\\0&1&|| \ \ 1\end{array}\right] \ \ \ = The \quad reduced \quad matrix[/tex]
Solution = (m, p) = (3, 1)
Answer:
14. -16
15. m = 3 and p = 1
Step-by-step explanation:
Question 14Discriminant
[tex]b^2-4ac\quad\textsf{when}\quad ax^2+bx+c=0[/tex]
Given equation: [tex]5z^2-2z+1=0[/tex]
Therefore:
a = 5b = -2c = 1Substituting the values into the discriminant:
[tex]\begin{aligned}\implies b^2-4ac & = (-2)^2-4(5)(1)\\& = 4-20\\& = -16\end{aligned}[/tex]
As the discriminant is negative, this implies there are no real roots.
Question 15Augmented Matrices
[tex]\begin{array}{c}ax+by=p \\cx+dy=q\end{array} \implies \left[\begin{array}{r r | r}a & b & p \\ c & d & q\end{array}\right][/tex]
Use elementary row operations to convert into:
[tex]\left[\begin{array}{r r | r}1 & 0 & h \\ 0 & 1 & k\end{array}\right] \implies \begin{array}{r}x=h\\y=k\end{array}[/tex]
Given:
[tex]\begin{aligned}m-p & =2\\ p & = 1\end{aligned} \implies \left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right][/tex]
[tex]\left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right] \begin{array}{c}R_1 + R_2 \rightarrow R_1 \\\rightarrow\end{array} \left[\begin{array}{r r | r}1 & 0 & 3 \\ 0 & 1 & 1\end{array}\right][/tex]
Therefore:
[tex]m=3[/tex]
[tex]p=1[/tex]
A survey was conducted for school students in a city to find out the
favorite games of the students .49000 students were participated in the
survey. It was found that 2
7
of the students liked football, 4
7
of the students
liked cricket and the rest liked hockey.
Read the passage carefully and answer the following questions:
i) How many students liked football?
a) 14000 b) 28000 c) 7000 d) 9000
ii) How many students liked cricket?
a) 4000 b) 28000 c) 7000 d) 10000
iii) What fraction of the students liked hockey?
a)3
7
b) 1
7
c) 2
7
d) 6
7
iv) How many more students liked football than hockey?
a) 6000 b) 5000 c) 14000 d) 7000
Answers
7
What do you mean by this?
How much did susan earn per hour?
Answers
answer : 9.5 because you subtract and then divide by 2
URGENT HELP!!!
Factorise x²+12x+180
With middle term splitting method, or factorising by grouping
Answers
The quadratic expression cannot be factorized, because the discriminant is less than 0
How to factorize the expression?The expression is given as:
x²+12x+180
Calculate the discriminant of the expresison using:
D = B² - 4AC
So, we have:
D = 12² - 4* 1 * 180
Evaluate
D = -576
Because the discriminant is less than 0, then the expression cannot be factorized
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8 = 3a – 4
what is the anser
Answers
Answer:
a=4
Step-by-step explanation:
what minus 4=8? its 12. 12-4=8 so
what times 3 is 12? 4.
3*4=12
12-4=8
a=4
laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house. she has two pairs of mittens to choose from, six scarves choose from, and three jackets to choose from. how many different combinations laura wear. I WILL GIVE BRAINLESTTTTRJFCFIIEJFJEFLJ
Answers
The number of ways Laura will wear a pair of mittens, a scarf, and a jacket will be 36.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house.
She has two pairs of mittens to choose from, six scarves chosen from, and three jackets to choose from.
Then the number of ways will be
Number of ways = ²C₁ x ⁶C₁ x ³C₁
Number of ways = 2 x 6 x 3
Number of ways = 36
More about the permutation and the combination link is given below.
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Yaritza practices the piano 875 minutes in 5 weeks. At what rate did she practice, in minutes per day?
Answers
The number of minutes that she practiced in a day will be 175 minutes per day.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Yaritza practices the piano for 875 minutes in 5 weeks.
The number of minutes that she practiced in a day will be given as,
Rate = 875 / 5
Rate = 175 minutes per day
The number of minutes that she practiced in a day will be 175 minutes per day.
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A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 91 m. What is
the volume of the pyramid?
Answers
Answer:
14014
Step-by-step explanation:
base of stone pyramid=154
height=91
b×h
154×91=4014
Define relation in math
Answers
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
Step-by-step explanation:
A student randomly draws a number between 1 and 30. What is the probability that the number drawn is less than 18
Answers
Answer:
25%
Step-by-step explanation:
i have a feeling
A triangle has sides with lengths of 5 meters, 6 meters, and 8 meters. Is it a right triangle?
Answers
Answer:
No, it is not a right triangle
Step-by-step explanation:
A scalene right triangle comprised of integers must have the same ration as 5:4:3, and 5:6:8 is not it.
Graph a line to represent the linear equation y=54x−4.
Answers
Answer:
yes it represents it because the linear equation
The radius of the base of a cylinder is 16 cm. The height of the cylinder is 27 cm. Find the surface area and volume of the cylinder.
Answers
Answer:
Step-by-step explanation:
SA/Surface area of cylinder=2πrh+2πr^2
SA=2xπx16x27 + 2xπx16^2
SA=864π + 512π
SA=1376π
OR
SA=4322.83 to 2.d.p
What does the correlation coefficient of a function tell us about the model?
Answers
Answer:
the correlation coefficients is a statistical calculation
that used to examine the relationships between two sets of data.
Step-by-step explanation Hope this helps :)
Rimshot has 2 tv sets. the area of the smaller screen is 40% of the area of the larger screen. if the larger screen measures 27 in by 36 in what is the area of the smaller screen?
anyone is here
Answers
Area of larger :- length× width
[tex]27 \times 36 = 972 {in}^{2} [/tex]
Area of the smaller screen= 40% of larger area
[tex] area = \frac{40}{100} \times 972 \\ area = \frac{4 \times 972}{10} \\ area = \frac{3888}{10 } = 388.8 {in}^{2} [/tex]
Find h(j+1) if h(x)=4x² + 3x - 2
Answers
Answer:
h(j+1) = 4j² +11j +5
Step-by-step explanation:
A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.
__
For function ...
h(x) = 4x² +3x -2
The value of h(j+1) is ...
[tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]
Solve for x in the equation below.
Round your answer to the nearest hundredth.
Do not round any intermediate computations.
x-6 = 7
e
Answers
Answer:
x=13
Step-by-step explanation:
Dave wants to buy a classic leather flight jacket that is being sold for $60 less than the normal price. if the jacket normally costs $300, by what percent is it being discounted?
(the answer to your equation will be a decimal. don't forget to convert your answer to a percent)
Answers
Answer: 500%
Step-by-step explanation: 300/60 = 5
5 = 500%
To check work:
60*5 = 300
17 Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim's percentage profit.
Give your answer to 1 decimal place.
Answers
Answer:
46.7
Step-by-step explanation:
Sp-Cp
$44-$30=$14
14/Cp x 100
= 14/30 x 100=46.66%
Ans= 46.7%
Proof
% x CP
46.66/100 x $30= $13.998
$13.998= SP-CP
Hope it helps
Jim's got profit percentage is 46.67%
What is profit percentage?Profit percentage is refer to "the amount of profit that has been incurred in terms of percentage".
According to the question,
Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.
In order to find profit percentage we have to use formula.
Profit percentage = [tex]\frac{selling price - cost price }{cost price}[/tex] × 100
= [tex]\frac{(44-30)}{30}[/tex] × 100
= [tex]\frac{14}{30}[/tex] × 100
= 46.6667% ≈ 47%
Hence, Jim's got profit percentage is 46.67%.
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11 pts and brainiest
(08.05)
Which of the following ordered pairs represents the solution to the system given below? (4 points)
x - 4y = 7
5x + y = 6
(3,-1)
(3,1)
(1,-3)
(-1,-3)
Answers
Answer:
[tex]x = 1.48 \: and \: y = - 1.38[/tex]
Step-by-step explanation:
[tex]first \: equation[/tex]
[tex]x - 4y = 7[/tex]
[tex]second \: equation[/tex]
[tex]5x + y = 6[/tex]
[tex]from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y[/tex]
[tex]x =7 + 4y \: {equation \: 3}[/tex]
[tex]substitutefor \: x \: in \: equation \: 2[/tex]
[tex]5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ [/tex]
[tex]y = \frac{ - 29}{21} [/tex]
[tex]y = - 1.38[/tex]
[tex]subsitute \: for \: y \: into \: equation \: 3[/tex]
[tex]x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48[/tex]
Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry,
blueberry, and coee avors. How many combinations of 3 scoops of ice cream can Laura choose
from? Show your work and explain whether or not this is a scenario in which repetition is allowed.
Answers
The number of the combinations of 3 scoops of ice cream can Laura choose will be 20.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Laura wants 3 scoops of ice cream.
She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors.
Then the number of the combinations of 3 scoops of ice cream can Laura choose will be given as
→ ⁿCₐ
The total number of the flavor will be
n = 6
Then the number of the chosen flavor will be
a = 3
Then we have
→ ⁶C₃
→ 20
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3 ten thousands, 41 thousands, 45 hundreds, 49 tens, and 8 ones.
Regroup
Answers
Answer:
75,998.Step-by-step explanation:
3 ten-thousands:
3000041 thousands:
41,00045 hundreds:
4,50049 tens:
4908 ones:
8Add them all up:
30,000 + 41,000= 71,000 + 4,500= 75,500 + 490= 75,990 + 8= 75,998.Answer is 75,998.I need help to find the equation but in slope intercept form.pls
Answers
Answer: y= 8x-8
Explanation:
Slope=8
Y intercept= -8
Y=mx+b
Y=8x-8
What is the distance between the pair of points.
E(-4, 4) and F (6,4)
Answers
Answer:
0/10 is the correct answer
Answer:
Please give me brainly!! I would really appreciate it. Thank you! <3
d=10
Step-by-step explanation:
►Use The Distance Formula d=√(x₂-x₁)²+(y₂-y₁)²◄
1. Fill In The Given Values (-4, 4) and (6,4)
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(6--4)²+(4-4)²
2. Simplify
d=√(6--4)²+(4-4)²
d=√10²+0²
d=√100+0
d=√100
d=10