Find the value of x in the isosceles triangle shown below.
5
4
Answer:
x = √29Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 4/2 = 2
b = 5
c = x
plugin values into the formula:
2² + 5² = x²
x = √(2² + 5²)
x = √29
The length of the side x of the isosceles triangle is x = √29 units
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
The measure of side AB = AC = x
The measure of BC = 4 units
Now , let AD be the perpendicular bisector of the triangle and AD = 5 units
where the measure of BD = measure of CD
And , right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the measure of x = √ ( AD )² + ( BD )²
x = √ ( 25 ) + ( 4 )
x = √29 units
Hence , the length of side of triangle is x = √29 units
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The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the length is x
centimeters. Select the possible value(s) of x.
Plz it’s a test LOLMDJSHS
Answer:
x ≤ 12.83
(Any number under or equal to 12.8333...)
Step-by-step explanation:
154 ≥ 12x
12.833.... ≥ x
x ≤ 12.83
Need ASAP if you don’t know the answer don’t answer
Answer:
254.47
Step-by-step explanation:
Explain if the following is a proportional relationship: Sam used 6 gallons of gas to drive 50 miles and 4 gallons of gas to drive 100
miles.
Answer:
it's not a proportional relationship. ..............
A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 13% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is
Answer:
The standard deviation of the sampling distribution is [tex]\sigma =0.0087[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1500
The population proportion is [tex]p = 0.013[/tex]
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{ \frac{p (1- p)}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.13(1-0.13)}{1500} }[/tex]
=> [tex]\sigma =0.0087[/tex]
The standard deviation of the considered sampling distribution of the proportion supporting the increase is 0.0027 approx.
How to find the sample standard deviation for distribution of a sample proportion?Suppose the sample proportion be denoted by [tex]\hat{p}[/tex], then, its distribution is normally distributed with mean [tex]p[/tex] and the standard deviation of distribution of [tex]\hat{p}[/tex] is given by
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
where n is the sample size. It is true until [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
For the given case, we're given that:
Sample size= n = 10Proportion average value = p = 13% = 0.13 Standard deviation = [tex]\sigma = \sqrt{\dfrac{0.13(1-0.13)}{1500}} = \sqrt{\dfrac{0.13 \times 0.87}{1500}} \approx 0.0027[/tex]Thus, standard deviation of the sampling distribution is approximately 0.0027
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A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?
Answer: 9 and 21
Step-by-step explanation:
board=30m
divide by 2 pieces
one piece, we call it a
b, the other piece is b= 2a+3
a+b=30
a+2a+3=30
3a=30-3
3a=27
a=9
b=21
guys i need help asap someone good with geomtry???
Answer:
[tex]CF<BC<BF[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]
which of the following is equivalent to the radical expression below when x > 0?
Answer:
c Sorry am not sure
Step-by-step explanation:
Adult and student tickets to the high school basketball game are sold each week. for every two adult tickets seven students tickets are sold. how many total tickets were sold if 92 adult tickets were sold?
Answer:
414
Step-by-step explanation:
the ratio of adult tickets to student tickets = 2 to 7 num of student tickets / 92 = 7 / 2 ... x = 414 total tickets sold.
During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?
Answer: 1,176
Step-by-step explanation:
Please help!! I can't get it!
Answer:
B is the answer
hope it helps
ayee someone help pleasee
Answer:
Both are solutions of x.
Step-by-step explanation:
[tex]x^{2} =49[/tex]
For [tex]x^{2} =f(a)[/tex] the solutions are [tex]x=\sqrt{f(a)} ,-\sqrt{f(a)}[/tex]
[tex]x=\sqrt{49} ,x=-\sqrt{49}[/tex]
[tex]\sqrt{49}[/tex]
Factor the number: [tex]49=7^{2}[/tex]
Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]
[tex]\sqrt{7^2} =7[/tex]
=7
[tex]-\sqrt{49}[/tex]
Factor the number: [tex]49=-7^2[/tex]
Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]
[tex]-\sqrt{7^2}=7[/tex]
[tex]=-7[/tex]
A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7
Answer:
7
Step-by-step explanation:
Bluegreen
Bluered
Blueyellow
Greenblue
Greenred
Greenyellow
Redblue
Redgreen
Redyellow
Yellowblue
Yellowgreen
Yellowred
Answer: 7
Step-by-step explanation:
Took on computer
Which equation matches the function shown below?
Answer:
Step-by-step explanation:
Pick the two easiest points to deal with.
(0,4) and (2,0)
Find m
m = (y2 - y1)/(x2 - x1)
y2 = 4
y1 = 0
x2 =0
x1 = -2
m = (4 - 0)/(0 - - 2)
m = 4/2 = 2
Now use one of the points to find b
y = mx + b Use (0,4)
4 = 2*0 + b
b = 4
The equation you want is y = 2x + 4
Need help fastttt anybody
Answer:
ok look, you gonna learn somethin ight
Step-by-step explanation:
If you want answer you usually wanna put at least 15 or more points invested after grinding points its more worth and more people will go for it instead of 5 points just saying it happened to me to i did a 5 points thing and no-one answered then, I did 50 and I got like 5 people saying NOO I WANTED TO ANSWER so yeah no hate but I'm just saying you can report if you think is mean which I already know is rude to most people and idc really. wasnt copied from e
Find the area of a 60 degree sector with radius 10.
Select one:
a. 209
b. 52.3
c. 188
d. 314
Answer:
(b) 52.3
Step-by-step explanation:
Given that,
Radius, r = 10
Angle, [tex]\theta=60^{\circ}[/tex]
We need to find the area of the sector. The formula for the area of the sector is given by :
[tex]A=\dfrac{\theta}{360}\pi r^2\\\\=\dfrac{60}{360}\times \dfrac{22}{7}\times (10)^2\\\\=52.3\ \text{unit}^2[/tex]
Hence, the correct option is (b).
No work needed to show just answer
Answer:
1.62 × 10⁸
hope it helps!
1. In the first week, he spent $16 on lunches. How much was in his account then?
Answer:
hen he deposited some more money and his account balance was $28.
Step-by-step explanation:
Answer:7
Step-by-step explanation:
An average slice of american cheese is about 1/8
inch thick. What is the height of a package containing 20 slices?
find an equation for the line that passes through the points (2,-6) and (-4,-4)
Answer:
-1/3 I think
Step-by-step explanation:
use the slope formula
Explain how to calculate this mentally
1. 15is the percentage of
30
2. 3 is what percentage of 12
3. Six is what percentage of 10
Answer:
1. 50℅
2. 25℅
3. 60℅
hope it helps.
Answer:
Below.
Step-by-step explanation:
1. Divide 15 by 30 which is 1/2.
Then multiply 1/2 by 100 = 50%.
2. 3/12 = 1/4
1/4 * 100 = 25%
3. 6/10 = 0.6
0.6 * 100 = 60%.
solve by the matrix method , x+y/5 -1=y-x
10x - 4y = 5 (if it requires shorten)
Step-by-step explanation:
x + y/5 - 1 = y - x
<=> (5x + y - 1.5)/5 = 5(y - x)/5
<=> 5x + y - 5 = 5y - 5x
<=> 5x + 5x + y - 5y = 5
<=> 10x - 4y = 5
Which of the following would be considered a sunk cost?
where's the "following" choices
3х + 4 = 14
х = 2y - 12
Answer:
(-2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = 14
x = 2y - 12
Step 2: Solve for y
Substitution
Substitute in x: 3(2y - 12) + 4y = 14Distribute 3: 6y - 36 + 4y = 14Combine like terms: 10y - 36 = 14Isolate y term: 10y = 50Isolate y: y = 5Step 3: Solve for x
Define equation: x = 2y - 12Substitute in y: x = 2(5) - 12Multiply: x = 10 - 12Subtract: x = -2What does k represent in the equation y=kx
A- constant of proportionality
B- dependent variable
C- Krispy Kreme X
D- independent variable
Answer:
D= Independent variable
Step-by-step explanation:
HELP! will give brainliest ONLY if correct. 50 POINTS!!
Identify the type of function graphed to the right.
O linear
O exponential
O other
For an increase of 1 in the x-value, what is the increase in the y-value?
Answer:
A
Step-by-step explanation:
The first part is Linear and 2. The second part is exponential and 3.
Step-by-step explanation:The first graph is linear and they are asking for "2" in the bottom answer box because it grows by 2 every time.
The second graph is exponential growth and they are asking for "3" in the bottom box.
Have a terrific day, Hope this helps!!
help please and hurry!
Teacher made a table to show which months her students birthdays took place. There are four birthdays in August and in total they are 33 students. What is the ratio of students with August birthdays to the total number of students
Answer:
4:33 or 4/33
Step-by-step explanation:
Write a number sentence that illustrates the following. A number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits. Choose the correct answer below.
A. 0.08 x 0.6 = 0.48
B. 0.08 x 0.6 = 0.0048
C. 0.8 x 0.6 = 0.48
D. 0.08 x 0.6 = 0.048
Answer:
D
Step-by-step explanation:
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