Answer:
x = 15/[tex]\sqrt{3}[/tex] and y = 30/[tex]\sqrt{3}[/tex]
Step-by-step explanation:
I just used this trick I remembered from Honors Geometry. I am now in Honors Algebra II w/ Trig. So this trick is what is used for 30-60-90 special right triangles
Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°It 16x = (141)²-(109)², then
the value of x is.
(a). 150
(b). 500
(c). 600
(d). 32
Answer:
b) 500
16x = (141)^2 - (109)^2
or, 16x = 19881 - 11881
or, x = 8000/16=500
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
More about the Algebra link is given below.
brainly.com/question/953809
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The perimeter of parallelogram ABCD is 46 inches.
What is DA?
Answer:
Not enough information.
Step-by-step explanation:
AB + BC + CD + DA = 46
In a parallelogram, opposite sides are congruent.
AB + DA + AB + DA = 46
2AB + 2DA = 46
We have two unknowns and only one equation.
There is not enough information to answer the question.
To express % as a decimal, move the decimal point ▼ two three one places to the ▼ left right and ▼ leave the number as it is. remove the dollar sign. divide by 100. remove the percent sign.
Question
To express 7.5 % as a decimal, _______, ___________ and remove the percent sign.
▼ move the decimal point [two] [three] [one] places to the [left] [right]
▼ leave the number as it is.
▼ remove the dollar sign.
▼ divide by 100.
Answer:
▼ move the decimal point [two] places to the [left]
▼ divide by 100.
Step-by-step explanation:
Given
[tex]Number = 7.5\%[/tex]
Required
Express as decimal [Select all correct options]
From the list of given options, the correct options are:
▼ move the decimal point [two] places to the [left]
▼ divide by 100.
To prove that the options are correct:
(1)
▼ move the decimal point [two] places to the [left]
7.5% becomes 0.075%
▼ Remove the percent sign
0.075% becomes 0.075
So:
[tex]7.5\% = 0.075[/tex]
(2)
Divide by 100
7.5% when divided by 100 is: 0.075%
Remove the % sign, we have: 0.075
PLEASE HELP!!!
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
Here are what they equal in their simplest forms!
Step-by-step explanation:
Sin D & Cos E were originally equal to 13 -/3 over 26
-
Sin E & Cos D were originally equal to 13/26
-
Hope I was able to help!
Answer:
sin D = FE/DE = 13√3 /26 = √3 /2
sin E = DF/DE = 13/26 = ½
(sin E = cos D)
cos D = DF/DE = 13/26 = ½
cos E = EF/DE = 13√3 /26 = √3 /2
(sin D = cos E)
The points (1, 4) and (−3, 2) are the endpoints of a diameter of a circle. What is the equation of the circle?
Answer:
Step by step
Step-by-step explanation:
Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.
That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)
Distance between the given points give the diameter and half of that is the radius length.
So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)
Thus equation required is: (x-a)^2 + (y-b)^2 = r^2
So, (x+1)^2 + (y-3)^2 = 5
The equation of the circle is (x + 1)² + (y - 3)² = 5
How to determine the circle equation?The endpoints of the diameter are given as:
(1, 4) and (−3, 2)
Start by calculating the midpoint using:
Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)
So, we have:
Midpoint = 0.5 * (1 - 3, 4 + 2)
Evaluate
Midpoint = (-1, 3)
So, the center (a,b) of the circle is:
(a,b) = (-1,3)
Calculate the length of the diameter using:
D² =(x₁ - x₂)² + (y₁ - y₂)²
This gives
D² = (1 + 3)² + (4 - 2)²
D² = 20
Take the square roots
D = 2√5
Divide by 2 to calculate the radius
r = √5
Square both sides
r² = 5
The equation of the circle is then represented as:
(x - a)² + (y - b)² = r²
This gives
(x + 1)² + (y - 3)² = 5
Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5
Read more about circle equations at:
https://brainly.com/question/1559324
Interest earned: $84
Principal: 600
Interest rate: 7%
Time: ?
Answer:
2 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
t = 84 / ( 600 × 0.07 ) = 2
t = 2 years
The time required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
at an interest rate of 7% per year
is 2 years.
Ill Give brainliest To whoever can answer this please .ASAP . Thanks-Rin
Answer: The answer is c
Explanation:
You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?
Answer: $117,000
Step-by-step explanation:
The maximum that Arianna may borrow is 2.5 times her annual income.
First step therefore, would be to calculate her annual income:
= 900 * 52 weeks
= $46,800
She may borrow 2.5 times this:
= 46,800 * 2.5
= $117,000
Find f(-) if f(n) = 5n + 6.
Answer:
f(-1) = 1
Step-by-step explanation:
Are you missing a number after the negative in f(-)?
If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6
so f(-1) = -5 + 6 so f(-1) = 1
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!
Para fazer um serviço de operário leva 70 dias . Se trabalhou 25 dias num mês e 24 dias no outro mês , quantos dias faltam para ele terminar o serviço?
Responda:
21 dias
Explicação passo a passo:
Total de dias necessários = 70 dias
Dias usados no mês 1 = 25 dias
Dias usados no mês 2 = 24 dias
Dias usados no total = 24 + 25 = 49 dias
Dias restantes :
70 dias - 49 dias
= 21 dias
Select the answer that correctly orders the set of numbers from greatest to least. 0.25, start fraction 2 over 5 end fraction , 32%, start fraction 7 over 14 end fraction A. start fraction 7 over 14 end fraction, start fraction 2 over 5 end fraction, 32%, 0.25 B. start fraction 7 over 14 end fraction, 0.25, 32%, start fraction 2 over 5 end fraction C. start fraction 7 over 14 end fraction, 32%, start fraction 2 over 5 end fraction ,0.25 D. start fraction 2 over 5 end fraction, start fraction 7 over 14 end fraction, 32%, 0.25 please help ASAPPP
Answer:
A. 7/14, 2/5, 32%, and .25
Molly opened a savings account to save for a bicycle. She deposited the same amount of money each week. At the end of 18 weeks, she had saved $331.56. How much money did Molly deposit into her account each week?
Answer:
Weekly deposit= $18.42
Step-by-step explanation:
Giving the following information:
Number of weeks= 18
Total amount of money= $331.56
She deposited the same amount of money each week.
To calculate the weekly deposit, we need to divide the total savings by the number of weeks:
Weekly deposit= 331.56 / 18
Weekly deposit= $18.42
What the slope? Can someone help me
Answer:The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
Give the sum in simplest form: 2x/w + y/w
Answer:
[tex]\frac{2x+y}{w}[/tex]
Brainly reward!!!!
What's the area of the gray shape?
Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS
-3 < n < 1
n is an integer
Write down all the possible values of n
Answer:
n ε{-2,-1,0} with n being integer
Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
To learn more about the solution of quadratic equation visit:
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Please help!! I’m stuck on this
√-4 - 5x = x
A. x = -1 or x = 4
B. x = -1 or x = -4
C. x = 1 or x = -4
D. x = -5 or x = 4/5
E. x = 1 or x = 4
Answer:
B. [tex]x = -4\,\lor \,x = -1[/tex]
Step-by-step explanation:
Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.
1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given
2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality
3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property
4) [tex](x+4)\cdot (x+1) = 0[/tex] [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]
5) [tex]x = -4\,\lor \,x = -1[/tex] Result
Hence, the correct answer is B.
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?
Ox= 5
О-5а Х
O-15 = -5x
O-5х = 15
To make a certain shade of paint, Frazier mixed 4/9 cups of white paint with 2 and 2/9 cups of blue paint.
How many cups of blue paint should she mix with 6/7 cups of white paint to make the same shade?
good luck:)
Answer:
Here, it's ratio
Step-by-step explanation:
4/9: 2 and 2/9
simplify
1:5
6/7:x
6/7 x 5 is....
30/7
Mixed number is 4 2/7
BLAM!!!
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Try C it probably is your answer
the rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2
Answer:
[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]
Step-by-step explanation:
Given rational expression is,
[tex]\frac{2x^2+5x-14}{x-2}[/tex]
x - 2) 2x² + 5x - 14(2x + 9
2x² - 4x
9x - 14
9x - 18
4
Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.
Can someone help me please I will give brainleast just please help me out
Question 5
Flat fee = $6
Question 6
The group should charge $65 for 15 bags of leaves.
Question 7
The relationship between the amount charged and the number of bags filled is linear.
Can I please have help with question 2) a and b
Answer:
[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]
Step-by-step explanation:
(a)
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{10\sqrt{6} }{3}[/tex] units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²
= 32 + [tex]\frac{25}{3}[/tex]
= [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]
= [tex]\frac{121}{3}[/tex] ( take the square root of both sides )
h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
h = [tex]\frac{11\sqrt{3} }{3}[/tex]
19+23=2X-2
Someone help me pleaseeeeeeeeeeeeee
Answer:
x = 22
Step-by-step explanation:
19+23=2X-2
42 = 2x - 2
-2x = -2 - 42
-2x = -44
x = 22
hope this helps