Answer:
[tex]9\sqrt{3}[/tex]
Step-by-step explanation:
The right triangle on the right is a special right triangle: a 30-60-90 triangle
30-60-90 corresponds with the angle measures on the triangle
the sides on a 30-60-90 relate to the angle opposite of it
30 ⇒x 60 ⇒ x[tex]\sqrt{3}[/tex] 90 ⇒ 2x
27 is opposite to the 60° angle
[tex]\frac{x\sqrt{3}} {\sqrt{3}} =x[/tex] [tex]\frac{27}{\sqrt{3}}[/tex] simplify [tex]\frac{27}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] [tex]\frac{27\sqrt{3} }{3}[/tex] = [tex]9\sqrt{3}[/tex]
The required value of altitude y is 9 units which is determined by the geometric theorem.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
As we know that the geometric theorem states that h = √(ab),
where h is the altitude of a right triangle, a and b are the segments formed when the altitude divides the hypotenuse of a right triangle.
We have to determine the value of altitude y
As per the given figure, a = 3, and b = 27
Substitute the values in the formula, and we get
y = √(3 × 27)
y = √81
y = 9
Therefore, the measure of y = 9.
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Round 1526.04 to the nearest tenths
A farmer sells 8.9 kilograms of pears and apples at the farmer's market. 1 4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
7.5 kilograms of apples
Step-by-step explanation:
Take the total amount and subtract the amount of pears.
8.9-1.4=7.5
Answer:
If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples
pears = 8.9 - 3.56 = 5.34 kilos
if apples are 2/5, then pears are 3/5. 3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears
I'm gonna send you a picture of it
Answer:
Of whaT?
But thanks for the free points
What is the average rate of change for f(x) = 2 ^ x + 10 over the interval 2 <= x <= 4
A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function
Answer:
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
Step-by-step explanation:
[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]
Expand and get
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
The standard form will be [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
What will be the standard form of the given expression?The given expression is
[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]
[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]
[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
Thus the standard form will be
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
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What is the volume of a cube with a side length of 3t5units?
Cube V = s3
Answer:
V=a3=33=27
Step-by-step explanation:
sorry if its wrong
Ive been staring at this for a long time now, pls help
Answer:
9
Step-by-step explanation:
I replaced the missing variable with x and solved the equation from there.
Answer:
10.75
Step-by-step explanation:
i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5
PHEWW
could you help me pleas
What Is The Answer
k3 - 4j +12, when k=8, j=2
Answer:
The answer would be 28
Step-by-step explanation:
You would plug 8 in where k is and 2 where j is
so (8)3 - 4(2) +12
answer is 28
Evaluate the following expressions: (2×3)2-52
A rectangular prism has a length of 11ft, a height of 4ft, and a width of
3ft. What is its volume, in cubic ft?
Answer:
132 feet
Step-by-step explanation:
Volume = 11×3×4 = 132 feet
Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn at least $170. If xx represents the number of hours lifeguarding and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
[tex]x = 4\\y = 9[/tex] hours
Step-by-step explanation:
Given -
x represents the number of hours lifeguarding and y represents the number of hours landscaping
[tex]x+ y = 13[/tex] -----Eq ( 1 )
and
[tex]20 * x + 10 * y = 170[/tex] -----Eq ( 2 )
Substituting the value of [tex]x = 13-y[/tex] in equation 2, we get -
[tex]20* (13 - y) + 10 y = 170[/tex]
[tex]260 - 20 y + 10 y = 170\\10y = 90\\y = 9[/tex]
[tex]x = 13-9 = 4[/tex]
You want to buy a shirt that is originally $32.95. It is on sale for 20% off! What is the shirt's SALE price?
can someone help me ? Finding the slope graphically! Please hurry
Answer:
Step-by-step explanation:
they are asking for the triangle the "hangs " off the line, and so that it's in integer units.
by looking at the graph, I think if you were to draw a line on the y =4 ... so a flat horizontal like from the y axis at 4 on the y axis over to your graphed line.. that would do it.. :/ get it?
then the y axis is the "rise" and the line going from the y axis, horizontallly over to the graphed line, from 4.. and staying on 4 to the line... would be the run... :? I think this will be tough to get
Find the volume.please :>
Answer:
The volume of the cube is 77 inches.
A triangular prism has a volume of 400 cubic inches. The area of base is 25 square inches What is the height of the prism?
Can someone please help me?
Answer:
#25 is left, #27 is between, #28 is below, and #26 is first i think.
Step-by-step explanation:
Answer: #25 is left, #27 is between, #28 is below, and #26 is first i think.
Step-by-step explanation:
How do savings account differ from checking accounts
- they’re not offered at banks
- they typically pay interest
- the funds are easier to get
-you have to keep the money in for a long
Answer:
Savings accounts typically pay interest.
Step-by-step explanation:
Both Dominic and Zoe are 4 feet 6 inches tall. What is their combined height in inches?
Answer:
Their combined height is 108 inches
Step-by-step explanation:
1 ft = 12 inches
12 * 4 = 48 inches
48 + 6 = 54 inches
54 * 2 = 108 inches
Answer:
9 ft and 0 inches
Step-by-step explanation:
4 ft 6 inch + 4 ft 6 inch = 8ft 12inch
12 inches = 1 foot
8 ft + 1 ft = 9ft
In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.
Answer:
58.4
Step-by-step explanation:
delta math give up
Solve 4ax + 5ax = 6 ax + 9 for x. Assume a = 0.
Step-by-step explanation:
4ax + 5ax = 6 ax + 9
If a=0
Then
0+0≠0+9
so x is undefined
If the value of 'a' is zero. Then the solution of the equation will be not defined.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equation is given below.
4ax + 5ax = 6ax + 9
Simplify the equation for x, then the equation is given as,
4ax + 5ax = 6ax + 9
4ax + 5ax - 6ax = 9
3ax = 9
x = 3 / a
If the value of 'a' is zero. Then the solution of the equation will be
x = 3 / 0
x = not defined
If the value of 'a' is zero. Then the solution of the equation will be not defined.
More about the solution of the equation link is given below.
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The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula B) with that of the standard formula (formula A). Each of four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. a Find the probability function for Y . b What is the probability that at least three of the four judges state a preference for the new formula
Answer:
a) [tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b) 0.033
Step-by-step explanation:
Let Y represents the number of judges preferring a formula.
There are total four judges and each judge can select either A or B
n = 4, p = 1/3
a) The probability function is
[tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b)
Substituting the value of y -3 in above equation, we get -
[tex]P_3 = \frac{4}{3} * \frac{1}{3}^3 * \frac{2}{3}^{4-3}\\= \frac{4}{3} * 0.037 * 0.67\\= 0.033[/tex]
every day, andrews orange juice stand uses 2 bags of oranges. How many days with 2/3 of a bag of oranges last?
Answer:
2/3
Step-by-step explanation:
Write the equation in standard form for the circle x^2 + y^2 - 14y + 24 = 0
Answer:
x^2+(y-7)^2=25
Step-by-step explanation:
x^2+y^2-14y=-24
x^2+(y-7)^2-49=-24
x^2+(y-7)^2=25
Rewrite the expression using the fewest terms possible n ( 3 + 2) + 3n
Which of the following expressions are equivalent to 256^x? Select all that apply.
a. 8^2x
b. 4^4x
c. (64^x)^2
d. (16^x)^2
e. 2^8x
Answer:
d
Step-by-step explanation:
i did it on eduhguenity
The solutions which satisfy the equation A = 256ˣ are
Option B. 4⁴ˣ
Option D. 16²ˣ
Option E. 2⁸ˣ
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by A = 256ˣ
a)
The value of equation B = 8^2x
B = 8²ˣ
On simplifying the equation , we get
B = 8²⁽ˣ⁾
B = 64ˣ
And the value of B ≠ A
b)
The value of equation B = 4^4x
B = 4⁴ˣ
On simplifying the equation , we get
B = 4⁴⁽ˣ⁾
B = 256ˣ
And the value of B = A
c)
The value of equation B = (64^x)^2
B = (64ˣ)²
On simplifying the equation , we get
B = 64²⁽ˣ⁾
B = 4096ˣ
And the value of B ≠ A
d)
The value of equation B = (16^x)^2
B = (16ˣ)²
On simplifying the equation , we get
B = 16²⁽ˣ⁾
B = 256ˣ
And the value of B = A
e)
The value of equation B = 2^8x
B = (2⁸)ˣ
On simplifying the equation , we get
B = 256⁽ˣ⁾
And the value of B = A
Hence , the equations which satisfy are
Option B. 4⁴ˣ
Option D. 16²ˣ
Option E. 2⁸ˣ
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an electronics store is having a 20%-off on all cell phones. the original price of a cell phone is x dollars. which expression represents the sale price of a cell phone?
a. x - 0.2
b. x - 0.8
c. 0.2*x
d. 0.8*x
Answer: x*.2
Step-by-step explanation:
When you are trying to find the sale price you want to multiply the origanal price of the cellphone to the percentage you are getting off. Hope this helped!
What’s the answer to this
HELPPPP!!!!!!!!!!!!!
Answer:
Its A
Step-by-step explanation:
ez
Answer:
A
Step-by-step explanation:
y= -3x + 7
Rewrite 10x - 5y = -30 in slope-intercept form.
somebody help me wit dis
Answer:
y = 2x + 6
Step-by-step explanation:
10x - 5y = -30
-5y = -10x - 30
y = 2x + 6