Answers
ACD=60*
so, DCB=30*
again, CBD= 90*
Now, in triangle CBD,
Tan 60 = CD/BD
Or, (root)3 = CD/5
Or, CD= 5(root)3
Now,
In triangle ACD
Tan. 60 = AD/CD
Or, (Root)3 = (5(root)3/AD)
Or, 5/AD = 1 ( root 3 and root 3 gets cancelled)
so, AD = 5
Related Questions
4. Which step will solve the equation below for x? *
1 point
x2 = 64
Taking the square root of both sides of the equation
Taking the cube root of both sides of the equation
Dividing both sides of the equation by 2
Subtracting 2 from both sides of the equation
Answers
Answer:
D
Step-by-step explanation:
You should know this its not hard
The quotient rule for exponents states that bm bn=_______, b≠0 . When dividing exponential expressions with the same nonzero base, _______ the exponents.
Answers
Answer:
The quotient rule for exponents states that [tex]b^{m}\div b^{n}=b^{m-n}[/tex].
When dividing exponential expressions with the same nonzero base, subtract the exponents.
Step-by-step explanation:
Some rules to solve exponents are:
[tex]x^{0}=1[/tex] [tex](x^{m})^{n}=x^{mn}[/tex] [tex]x^{-n}=\frac{1}{x^{n}}[/tex] [tex]x^{m}\cdot x^{n}=x^{m+n}[/tex] [tex]\frac{x^{m}}{x^{n}}=x^{m-n}[/tex]The quotient rule for exponents states that:
[tex]b^{m}\div b^{n}=b^{m-n}[/tex].
When dividing exponential expressions with the same nonzero base, subtract the exponents.
When dividing exponential expressions with the same nonzero base, subtract the exponents.
Exponential functions in indices
According to the quotient law of indices
[tex]\frac{a^m}{a^n} = a^{m-n} [/tex]Based on the law, you can see that the expoenented was subracted since the base are equal.
The same is applicable to [tex]\frac{b^m}{b^n} [/tex]. this can be expressed as [tex]b^{m-n}[/tex]. This shows that when dividing exponential expressions with the same nonzero base, subtract the exponents.
Learn more on quotient law of indices here: https://brainly.com/question/8952483
Write the function g(x) as a transformation of the parent function
f(3) = |sc|, where the graph has been vertically compressed by a factor of
ş, shifted right 2 units, and shifted up 10 units.
A g(x) = 12 +2] +10
B g(x) = {\2 + 101 – 2
C g(x) = - +2] + 10
D g(x) = 42-2/+10
Answers
40% of one spig is a spoog. 25% of a speeg is a spoog. 70% of a speeg is a spug. What percent of 1 spig is 5 spugs
Answers
The percentage of 1 spig to 5 spug is 17.9%
What is percentage?
Percentages are essentially fractions where the denominator is 100.
40% of spig =1spoog
25% of speeg = 1 spoog
therefore 40%spig = 25% speeg
1 spig = 25/40 speeg
1 spig = 5/8 speeg
70% of speeg= 1 spug
70/100 speeg = 1 spug
therefore dividing both sides by 100/70
1 speeg = 100/70spug = 10/7spug
similarly 8/5 spig = 1 speeg
therefore 8/5 spig = 10/7 spug
divide both sides by 5/8
1 spig = 50/56 spug
percentage of 1 spig to spug =
89.3 % spug is 1 spig
therefore the percentage of 1 spig of 5 spugs is 89.3% /5 = 17.9%
laern more about percentage from
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Can someone help me with this problem
Answers
Increasing
Decreasing
t=3
t=14
V=4
========================================================
Explanation:
The graph goes uphill as you read from left to right over the interval 0 < t < 3. This means t is between 0 and 3. So the graph is increasing over this interval. The same applies for the interval 14 < t < 18 as well.
The graph goes downhill we we are between t = 3 and t = 14, so that's why the graph is decreasing on the interval 3 < t < 14.
The local min is the lowest point of the graph. For sine functions like this, they occur infinitely many often. But we're restricting to just one cycle (so to speak) and we only have one local min at (t, V) = (14, 1). So that explains the answer to part E. The answer to part D is similar but we're looking at the highest point this time at (3,7)
As for part F, it seems like your teacher made a typo because the graph is neither at the highest nor the lowest point when t = 18. The graph is right in the middle instead.
Subtract - 10x + 7y from -15x+6y
Answers
Answer:
Here is the solution solution-
(-15x+6y)-(-10x+7y)
= -15x+6y+10x-7y
= (-15x+10x)+(6y-7y)
= -5x-y
CAN SOMEONE PLEASE HELP ME WITH THIS FUNCTION PROBLEM
Answers
Answer:
Choose f(x) = 11x + 1
Step-by-step explanation:
Note that we will simply plug the value of 2 into the equation for February:
f(2) = 11(2) + 1 = 23
And plug the value of 6 into the equation for June:
f(6) = 11(6) + 1 = 67
Note how the points on the graph seem to match up with these values. If we evaluate following the same style for each:
f(3) = 11(3) + 1 = 34
f(4) = 11(4) + 1 = 45
f(5) = 11(5) + 1 = 56
Note, these values seems to be very close in approximation to the graph points for each month.
The other three functions return values that are just to far away from what are represented in the graph.
Cheers.
Prove theorems about triangles examine each triangle
Answers
Answer:
not possible
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
25 + 196 = 400
221=400
brainleist find the set of which -8/9 belongs to A integers b whole numbers c irrational numbers d real numbers e rational numbers f natural numbers
Answers
What equation do you get when you solve a-q=a+sx for x?
Answers
Answer:
[tex]x=\frac{-q}{s}[/tex]
Step-by-step explanation:
[tex]a-q=a+sx\\a-a-q=a-a+sx\\-q=sx\\\frac{-q}{s}=\frac{sx}{s}\\x=\frac{-q}{s}[/tex]
the diagonal of a square is x what is the perimeter of the square
Answers
Answer:
2[tex]\sqrt{2}[/tex] x
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and hypotenuse x
Using Pythagoras' identity on one of the right triangles, then
s² + s² = x²
2s² = x² ( divide both sides by 2 )
s² = [tex]\frac{x^2}{2}[/tex] ( take the square root of both sides )
s = [tex]\sqrt{\frac{x^2}{2} }[/tex] = [tex]\frac{x}{\sqrt{2} }[/tex]
Thus
perimeter = 4s = 4 × [tex]\frac{x}{\sqrt{2} }[/tex] = [tex]\frac{4x}{\sqrt{2} }[/tex]
Multiply numerator/ denominator by [tex]\sqrt{2}[/tex]
perimeter = [tex]\frac{4x\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex] x
A circle has a circumference of 50.24 units.
What is the radius of the circle?
units
Show Calculator
Answers
Answer:
radius = 8 unitsStep-by-step explanation:
Circumference of a circle = 2πr
where
r is the radius
From the question
Circumference = 50.24 units
To find the radius substitute the value into the above formula and solve for the radius
That's
[tex]50.24 = 2\pi \: r[/tex]
Divide both sides by 2π
We have
[tex]r = \frac{50.24}{2\pi} [/tex]
r = 7.9959
We have the final answer as
radius = 8 unitsHope this helps you
Answer:
8 units
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
50.24 = 2 * pi * r
Using 3.14 to approximate pi
50.24 = 2 * 3.14 * r
50.24 = 6.28 r
Divide each side by 6.28
50.24/6.28 = r
8 = r
Y=4x-9
(3, )
Complete the missing value in the solution to the equation
Answers
y=4(3)-9
solve for 4(3), which equals 12 and then subtract 9, which would give you y=3.
hope this helps!!
Which table represents a linear function? sorry im dumb ;w;
Answers
Answer:
Your answer is the third option
A linear function has to be added or subtracted by the same number every time. The independent variable is x and the dependent variable is y.
So for side "x" 1 is being added to each number and for side "y" is being subtracted by 2
Andrew walked 24 laps during a walkathon to raise money for his schools art department. Each las was 1/4 of a mile, and his dad donated $5.25 for every mile that Andrew walked. How much money did Andrew's dad donate?
Answers
Answer:
$31.50
1/4 of 24 is 6 and 6x5.25 is 31.50
Answer:
31.50
Step-by-step explanation:
a point where a graph crosses the y axis is called a
Answers
Answer:
y intercept
Step-by-step explanation:
The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.
(7-2)^2/4+3^4-10
Can somebody please help me please
Answers
Step-by-step explanation:
bodmas
7-4/4+12-10
7-4/16-10
3/4
0.75
how to do this question plz answer me step by step plzz
Answers
Answer:
The four angles are;
30 degrees, 85 degrees, 95 degrees , and 150 degrees
Step-by-step explanation:
Call the four angles of this quadrilateral A, B, C, and X (being X the smallest angle)
Then angle A is 55 degrees larger than X , therefore we can write it as X+55
Angle B is 65 degrees larger than X , therefore we can write it as X+65
Angle C is 120 degrees larger than X , therefore we can write it as X+120
Then we know that the addition of all four angles of a quadrilateral must give 360 degrees , so we have:
X + X + 55 +X + 65 + X + 120 = 360
that is:
4 X + 240 = 360
4 X = 360 -240
4 X = 120
X = 120/4
X = 30 degrees
and the other angles are:
30 + 55 = 85 degrees
30 + 65 = 95 degrees
30 + 120 = 150 degrees
at the grocery store, coco choco bars outsells cinnamon granola bars by a five-to-one ratio. if the store sold 246 bars, how many of them were cinnamon granola bars?
Answers
Answer:
41 cinnamon granola bars were sold.
You deposit $140 in a bank account that pays an annual interest rate of 3.5%.
How much simple interest will you earn after one year? Show your work.
Answers
Answer:
$4.90
Step-by-step explanation:
Simple Interest = Principle x interest rate x time period
Principle = $140
Interest rate = 3.5% or .035
time = 1 year
interest = 140 x .035 x 1
interest = $4.90
I hope this helps!
-TheBusinessMan
3/2(6x+4)=12 im dumb help me
Answers
Answer:
The correct answer is x = 2/3.
Step-by-step explanation:
To solve this problem, the first step I would take is multiply both sides by 2. This will allow us to get rid of the fraction on the left side of the equation and make it easier to solve. This is modeled below:
3/2(6x + 4) = 12
3(6x +4) = 24
Next, we can use the distributive property on the left side of the equation to get rid of the parentheses.
18x + 12 = 24
Then, we can subtract 12 from both sides of the equation.
18x = 12
Finally, we can divide both sides by 18 and simplify.
x = 12/18 = 2/3
Therefore, the correct answer is x =2/3.
Hope this helps!
Rachel states that -5.5 is an integer because it is negative. Is she correct. Why or why not?
Answers
Answer:
She is incorrect.
Step-by-step explanation:
She is incorrect.
An integer is a whole number, zero, and the opposites of the whole numbers. There cannot be a decimal part or fractional part to an integer.
Here are the integers:
..., -3, -2, -1, 0, 1, 2, 3, ...
-5.5 is not an integer.
Rachel's statement that -5.5 is an integer because it is negative is not correct because -5.5 is a rational number.
Given,
Rachel states that -5.5 is an integer because it is negative.
We need to find out whether Rachel's statement is correct and give a reason.
What are integers?Integers are 0,±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8,......
It includes all whole numbers.
We have,
-5.5 is a negative rational number.
Integer has no decimal point.
-5.5 is not an integer.
Thus Rachel's statement that -5.5 is an integer because it is negative is not correct.
Learn more about the difference between integers and rational numbers here:
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Some 5th grade boys are playing with sugar cubes. Each sugar cube measures 1x1x1 cm. The box is 5 cm long,10 cm high and 12 cm wide. How many sugar cubes can fit in the box
Answers
Answer:
Number of sugar cubes fit in box = 600 sugar cube
Step-by-step explanation:
Given:
Size of sugar cube = 1 x 1 x 1 cm
Size of box.
Length = 5 cm
Width = 12 cm
Height = 10
Find:
Number of sugar cubes fit in box
Computation:
Volume of sugar cube = 1 x 1 x 1
Volume of sugar cube = 1 cm³
Volume of box = 5 x 10 x 12
Volume of box = 600 cm³
Number of sugar cubes fit in box = Volume of box / Volume of sugar cube
Number of sugar cubes fit in box = 600 / 1
Number of sugar cubes fit in box = 600 sugar cube
Answer:
600
Step-by-step explanation:
volume of the cube a^3 = 1×1×1 = 1 cm^3
Volume of the box = 5×10×12 =600 cm^3
No. of the sugar cubes fit in the box = Volume of the box/ vol. of the cube
=600/1 =600
Solve for the value of z in this equation:
2z+ 18 = 5z ;
Z =
Answers
Answer:
z=6
Step-by-step explanation:
2z+18=5z
5z-2z=18
3z=18
z=18/3
z=6
Hope this helps!!!
(Please mark me brainliest)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{z = 6}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2z + 18 = 5z}[/tex]
Move 5x to left hand side and change it's sign
Similarly, Move 18 to right hand side and change it's sign
⇒[tex] \sf{2z - 5z = - 18}[/tex]
Collect like terms
⇒[tex] \sf{ - 3z = - 18}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3z}{ - 3} = \frac{ - 18}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{z = 6}[/tex]
Hope I helped!
Best regards!!
Given directed line segment QS , find the coordinates of R
such that the ratio of QR to RS is 3:5. Plot point R
Answers
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.
The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) is given by the formula:
[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]
If point Q is at ([tex]x_1,y_1[/tex]) and S at ([tex]x_2,y_2[/tex]) and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:
[tex]x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1[/tex]
Let us assume Q(−9,4) and S(7,−4)
[tex]x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1[/tex]
Answer: It’s 2.6
Step-by-step explanation:
Simplify the algebraic expression. (m - 7) + 5(m - 3)
Answers
Answer:
6m -22
Step-by-step explanation:
(m - 7) + 5(m - 3)
= m - 7 + 5m - 15
= 6m -22
Answer: 6m-22
Step-by-step explanation:
Given
(m-7)+5(m-3)
Take off parentheses/distributive property
= m-7+5m-15
Move like terms together
=m+5m-7-15
Combine like term
=6m-22
Hope this helps!! :)
Please let me know if you have any question
7.
Which point on the number line best represents the location of V92?
MN
Q
+
8
9
10
A. Point M
B. Point N
C. Point P
D. Point Q
Answers
Answer:
C
Step-by-step explanation:
Square root of 92 is 9.591663047
so round that to 9.59
hello please help!! thank you<3
Answers
Answer:
112
Step-by-step explanation:
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran miles.
1. How many feet is that
Answers
Answer: 5,280
Step-by-step explanation:
The cost of admission to a popular music concert was $122 for 11 children and 3 adults. The admission was $102 for 6 children and 4 adults in for another group. How much was the admission for each child and adult?
Answers
Answer:
Step-by-step explanation: