Answer:
Hey there!
What we know:
The three triangles (two smaller ones and one larger one, are all right triangles)Measure of angle A is 42 degrees.Measure of angle C is 58 degrees.AC is 65 m.What we would like to know:
ABBDFirst, let's find AB.
Sine 58= AB/65
Solving for AB, we see that it is about 55.12 m.
Next, let's find BD.
Sine 42= BD/55.12
Solving for BD, we see that it is about 36.88 m.
Let me know if this helps :)
Explain how I would rewrite 3^5 * 3^-4 as a base an exponent
Answer:
3^1 or 3
3^5 * 3^-4 are 3^5-4
so, 3^1!
Hope it helps!
Answer:
3^1
Step-by-step explanation:
Since the bases are the same and we are multiplying we can add the exponents
a^b * a^c = a^(b+c)
3^5 * 3^-4
3^ (5+-4)
3^1
Kevin has a rectangular farm mapped on a coordinate plane. He wants to make a fence along one of the longer sides of the farm. What would be the length of the fence? A. 6 B. 10 C. 12 D. 8
Answer:
10
Step-by-step explanation
Answer:
10
Step-by-step explanation:
Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the order they are selected will form the word MATH?
So "MATHCOUNTS" has 10 letters.
And "MATH" has 4 letters.
So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.
But it has to be in order...
There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"
So 1/32 probability of 2/5 is 2/160 or 1/80
The probability of getting the word MATH is 1/80
What is Probability ?The study of likeliness of an event to happen is probability .
It is given that
Total letters in MATHCOUNTS : 10 letters.
Total chances of getting letter M , A , T , H is 4
Probability of getting the letters M , A , T , H is 4/10
= 2 /5
The probability of getting the word MATH is 1
And the total number of ways the letters can be arranged is 2⁴
= 32
The probability of getting the word MATH is
= 1 /32 * 2 /5
=1/80
Therefore , The probability of getting the word MATH is 1/80
To know more about Probability
https://brainly.com/question/11234923
#SPJ2
15 POINT!!!!!!!!!!!!!!!!!!!! Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines. f of x passes through 2, 0 and 3, 2, and g of x passes through two thirds, 0 and 1, 2. 3 one third negative one third −3
Answer:
k=(-1,5)=-5
Step-by-step explanation:
Answer:
ok i got the same question and i think it is and dont qoute me boy i aint said it but i think its B sorry if im wrong
Step-by-step explanation:
Choose the function whose graph is given by
C)
Because if you choose some points for example x = 0 and x = 3.14 (≈ pi)
you will see that there's only one match.
Answer:
Option C. y = cos x -2
Step-by-step explanation:
The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).
Answer:
248
Step-by-step explanation:
Math Question (10 Points):
Answer:
x-axis
Step-by-step explanation:
Answer:
It is the x-axis
Step-by-step explanation:
In a graph, the horizontal part of it is called the x axis.
Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates
Select all decimals that are equivalent to (9 x 100) + (2 x 10) + (3x ) + (5 x it).
A. 92.35
B. 920.350
C. 902.35
D. 92.350
D E 920.35
F. 920.035
Answer:
the answer to the question is letter E I believe
A. ASA
B. CPCTC
C. AAS
D. SAS
Answer:
It is ASA congruence rule as the 2 angles and the included side of the triangle are equal
How do I determine if -3x+y =8 is a function?
You need to see if it passes the vertical line test, then graph it to see if it is but is a function tho.
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate plane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V1 and the aquarium. Question 4 options: A) 11 units B) 10 units C) 1 units D) units
Answer:
A
Step-by-step explanation:
To find the distance between V1 and AQ use the distance formula
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
First find the coordinates of both V1: (-6, 5) AQ: (5, 5)
Now plug it in and solve for d (11)
Type the correct answer in each box. If necessary, use / for the fraction bar.
Complete the statements about series A and B.
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
Series (a or b) has an r value of (blank) where 0<|r|<1. So, we can find the sum of the series. The sum of the series is (blank)
Answer:
Step-by-step explanation:
Given two series A and B;
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
Both series are geometric series since they have the same common ratio. Given the geometric series T₁, T₂, T₃, T₄..., the common ratio r is expressed as [tex]\frac{T_2}{T_1} =\frac{T_3}{T_2} =\frac{T_4}{T_3} = r[/tex].
a) For series A, Given T₁ = 10, T₂ = 4, T₃ = 8/5 and T₄ = 13/125
Its common ratio is expressed as [tex]\frac{4}{10} =\frac{8/5}{4} =\frac{13/125}{8/5} = 2/5[/tex]
Hence the common ratio of series A is 2/5
The sum to infinity of the geometric series will be expressed as [tex]s_\infty = \dfrac{a}{1-r}[/tex]
Note that the sum to infifnity is used since the series is tending to infinity.
a is the first term if the series = 10
r - 2/5
On substituting this values into the formula;
[tex]s_\infty = \dfrac{10}{1-2/5} \\\\s_\infty = \dfrac{10}{3/5} \\\\s_\infty = 10* 5/3\\s_\infty = 50/3[/tex]
Hence the sum of the series is 50/3
b) For the series B;
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
The common ratio of the series is expressed as shown;
[tex]\frac{3/5}{1/5} =\frac{9/5}{3/5}= \frac{27/5}{9/5 } = r\\ r = (3/5 * 5/1) = 9/5*5/3 = 27/5*5/9 = 3[/tex]
Hence its common ratio is 3.
Sun of the series is expressed similarly as:
[tex]s_\infty = \frac{a}{1-r}\\ s_\infty = \frac{1/5}{1-3}\\\\s_\infty = \frac{1/5}{-2}\\\\[/tex]
[tex]s_\infty = 1/5 * -1/2\\s_\infty = -1/10[/tex]
Hence the sum of series B is -1/10
Find the measure of b+d.
Answer:
=90
Step-by-step explanation:
because d=32° and b=58°
this is because corresponding angles are equal
Answer:
Step-by-step explanation:
b+d =90 degree
hope it helps
Express the product of 3x^2 - 4x +6 and x-2 in standard form.
Answer:
3x³ - 10x² + 14x - 12
Step-by-step explanation:
(3x² - 4x + 6) × (x - 2)
3x³ - 4x² + 6x - 6x² + 8x - 12
3x³ - 10x² + 14x - 12
Thus, the product of 3x² - 4x + 6 and x - 2 in standard form is 3x³ - 10x² + 14x - 12
help can somewon help me
Answer:
504 in³
Step-by-step explanation:
The volume of the overall outside dimensions is their product:
Voverall = (12 in)(8 in)(6 in) = 576 in³
The volume of the "slot" is the product of its dimensions:
Vslot = (6 in)(6 in)(2 in) = 72 in³
Then the volume of the figure shown is ...
Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³
Answer:
504 inches cubed
Step-by-step explanation:
The area missing is 6*6*2=72
The whole area is 576
subtract the two and get 504
since we are talk about volume it is 50 inches cubed
if f(x) -3 and g(x) = 3x2+x-6, find (f+9)(x).
A. 4x2 - 9
B. 3x2 + x - 3
C. 3x2 + 2X-9
D. 3x2 - 4x = 3
Answer:
3x^2 +x -3
Step-by-step explanation:
f(x)= 3 and g(x) = 3x^2+x-6
f+g (x) = 3+ 3x^2+x-6
Combine like terms
= 3x^2 +x -3
Of a group of boys and girls at Central Middle School’s after-school party, 15 girls left early to play in a volleyball game. The ratio of boys to girls then remaining was 2 to 1. Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1. How many students attended the party?
Answer:
90
Step-by-step explanation:
Let g and b represent the number of girls and boys attending, respectively.
After 15 girls left, the ratio of boys to girls was ...
b/(g -15) = 2/1
b = 2g -30 . . . . . multiply by (g-15)
__
After 45 boys left, the ratio of girls to boys was ...
(g -15)/(b -45) = 5/1
g -15 = 5b -225 . . . . . . multiply by (b-45)
g = 5b -210
Using the latter to substitute into the former, we have ...
b = 2(5b -210) -30
450 = 9b . . . . . add 450-b
50 = b . . . . . . 50 boys attended
g = 5(50) -210 = 40 . . . . . 40 girls attended
The number of students who attended the party was 50 +40 = 90.
_____
Check
After 15 girls left, the ratio of boys to girls was 50/25 = 2/1.
After 45 boys left, the ratio of girls to boys was 25/5 = 5/1.
Answer:
let b = original number of boys
let g = original number of girls
:
Of a group of boys and girls at Central Middle School's after-school party, 15 girls left early to play in a volleyball game.
The ratio of boys to girls then remaining was 2 to 1.
b%2F%28%28g-15%29%29 = 2%2F1
Cross multiply
b = 2(g-15)
b = 2g - 30
:
Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1.
%28%28g-15%29%29%2F%28%28b-45%29%29 = 5%2F1
cross multiply
g - 15 = 5(b-45)
g - 15 = 5b - 225
g = 5b - 225 + 15
g = 5b - 210
Replace b with (2g-30)
g = 5(2g-30) - 210
g = 10g - 150 - 210
g = 10g - 360
360 = 10g - g
360 = 9g
g = 360/9
g = 40 girls originally
find b
b = 2(40) - 30
b = 50 boys originally
" How many students attended the party?"
40 + 50 = 90 students
The coefficient of 8.2 N is
8
2
16
Answer:
2
Step-by-step explanation:
A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.
The format is not exactly clear with the expression in the question.
Assuming the expression is '8 * 2n', the coefficient would be 2.
'n' is getting multiplied by '2'.
'8' does not have a variable next to it, so it is just a term in the expression.
The product of 8 and 2 is 16. 16 is not in the expression.
If the expression was '8.2n', 8.2 would be the coefficient.
Brainilest Appreciated.
-31-4x=-5-5(1+5x) I need help i suck at math
Answer:
x = 1
Step-by-step explanation:
−31−4x=−5−5(1+5x)
First step is to simplify both sides
−31−4x=−5−5(1+5x)
−31+−4x=−5+(−5)(1)+(−5)(5x)
distribute
−31+−4x=−5+−5+−25x
−4x−31=(−25x)+(−5+−5)
and combine like terms
−4x−31=−25x+−10
−4x−31=−25x−10
Then add 25x to both sides
−4x−31+25x=−25x−10+25x
21x−31=−10
Add 31 to both sides
21x−31+31=−10+31
21x=21
And divide by 21!
21x/21 = 21/21
x=1
Answer:
X=1
Step-by-step explanation:
First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)
Find the distance between the points P and Q shown. Question 6 options: A. 73−−√ B. 13−−√ C. 5–√ D. 65−−√
Answer:
[tex]d=\sqrt{73}[/tex]
Step-by-step explanation:
[tex]Q(5, -1)[/tex]
[tex]P(-3, 2)[/tex]
Using the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_2+y_1)^2}[/tex]
[tex]d=\sqrt{(-3-5)^2+(2-(-1))^2}[/tex]
[tex]d=\sqrt{(-8)^2+(3)^2}[/tex]
[tex]d=\sqrt{64+9}[/tex]
[tex]d=\sqrt{64+9}[/tex]
[tex]d=\sqrt{73}[/tex]
[tex]d\approx 8.5[/tex]
The sum of 4 consecutive integers is 130 what is the third number in the sequence
PLZ HELP!!!
Answer:
33
Step-by-step explanation:
We can write an equation:
x+x+1+x+2+x+3=130
x represents the smallest number of the consecutive integers
By the way, an example of consecutive would be 2, 3, 4, 5 or 10, 11, 12, 13
We can combine like terms from our equation:
4x+6=130
4x=124
x=31
The smallest number is 31. The second number would be 31+1=32, which means the third number is 33!
Hope this helps! :) :)
Answer:
[tex]\huge\boxed{3rd\ number = 33}[/tex]
Step-by-step explanation:
Let the consecutive numbers(Coming one after another) be x, x+1, a+2 and x+3
So,
x+x+1+x+2+x+3 = 130
4x + 6 = 130
Subtracting 6 to both sides
4x = 130-6
4x = 124
Dividing both sides by 4
x = 32
So,
1st number = x = 31
2nd Number = x+1 = 31+1 = 32
3rd number = x+2 = 31+2 = 33
4th number = x+3 = 31+3 = 34
*PLEASE ANSWER* The volume of this fish tank needs to be doubled.
Answer:
Of course the answer is 2.
It says 'Double'!
The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.
The figure is shown of the fish tank, a scale factor to be determined that is applied to the dimensions so the volume becomes twice the former volume.
Volume is defined as the ratio of the mass of an object to its density.
The volume of the fish tank = v
Now new the volume of the new fish tank = 2v
Scale factor = New volume/old volume
= 2v/v
= 2
Since the scale factor is 2 the dimension of new fish tank should be doubled to get twice the volume of the old fish tank.
The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.
Learn more about a volume here:
https://brainly.com/question/1578538
#SPJ5
Select the correct answer.
Simplify.
V96
Answer:
[tex]4 \sqrt{6}[/tex]
Step-by-step explanation:
The question is not properly presented and has mission options; however, the solution is as follows
Given
[tex]\sqrt{96}[/tex]
Required
Simplify
[tex]\sqrt{96}[/tex]
Start by expanding
[tex]\sqrt{16 * 6}[/tex]
The expression can be split to:
[tex]\sqrt{16} * \sqrt{6}[/tex]
Take positive square root of 16
[tex]4 * \sqrt{6}[/tex]
[tex]4 \sqrt{6}[/tex]
The expression cannot be further simplified
Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday. The cost of the pizza and soft drinks before sales tax and tip was $47.96. What is the amount of sales tax for the bill if the rate is 7%? Show your work.
Step-by-step explanation:
Since the original price is $47.96 and bill rate is 7%, $47.96 × 1.07 ≈ $51.32
Answer:
$51.32
The amount of sales tax for the bill if the rate is 7% will be $3.36.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday.
The cost of the pizza and soft drinks before sales tax and tip was $47.96.
Then the amount of sales tax for the bill if the rate is 7% will be
⇒ $47.96 x 0.07
⇒ $3.36
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ5
Choose the property of real numbers that justifies the equation! Photo of questions are below
Answer:
Multiplicative Identity Property,Associative Property of Addition,Commutative Property of Multiplication,Zero Property of Multiplication
Step-by-step explanation:
The required properties for the given expression of the real numbers are multiplication property, associative property, commutative property, and property of zero multiplication.
Given that,
A number of expressions for the real number are given we have determined the corresponding properties for the arithmetic operation given.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
Here,
1.
n.1 = n
It is a unit multiplication property.
2.
(4 + b) + 7 = 4 + (b + 7)
it is associative property of real numbers.
3.
m.9 = 9.m
it is commutative property.
4.
0.c = 0
It is a property of zero multiplication.
Thus, the required properties for the given expression of the real numbers are multiplication property, associative property, commutative property, and property of zero multiplication.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Plzz help me I’ll mark brainliest
Answer:
The answer is option BStep-by-step explanation:
To find the side adjacent to the 50° angle we use tan
[tex] \tan( \alpha ) = \frac{opposite}{adjacent} [/tex]
From the question
The opposite is 6m
The adjacent is ?
So we have
[tex] \tan(50) = \frac{6}{?} [/tex]
[tex]? \tan(50) = 6[/tex]
[tex]? = 6 \times \frac{1}{ \tan(50) } [/tex]
But
[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]
So we have
[tex] \frac{1}{ \tan(50) } = \cot(50) [/tex]
Substitute it into the expression
That's
We have the final answer as
[tex]? = 6 \cot(50) [/tex]
Hope this helps you
=====================================================
Explanation:
We're given an opposite side and an adjacent side. The tangent rule ties these two sides together. "tangent" is nowhere to be found in any of the answer choices, but cotangent is. Recall that
cot = 1/tan
which means
tan = opposite/adjacent
cot = adjacent/opposite
one is the reciprocal of the other
-----------
This means
cot(angle) = adjacent/opposite
cot(50) = x/6
6*cot(50) = x
x = 6*cot(50)
Will give brainliest to first person Solve with determinants x+4y=5 , 5x-7y=-2
The graph of f(x) = xx is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.
Answer:C and F are correct
Step-by-step explanation:
got it right on edge
If the sin of angle x is four fifths and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle? Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces.
Hey there! I'm happy to help!
Sine is a trigonometric ratio. It is the ratio of the opposite side of the angle to the hypotenuse. Since it is a ratio, it does matter how big or small the triangle is as long as the sides remain in proportion. If the opposite side is 4 and the hypotenuse is 5, the sine of x will be the same as it would be if the opposite were 16 and the hypotenuse were 20 because they simplify to the same ratio (4/5).
The sine (or any trigonometric ratio) of any number stays the same even if the triangle is dilated because the proportion between the sides stays the same no matter how big or small. So, they told us the answer at the beginning. The sine of angle x is 4/5.
Have a wonderful day! :D
Answer: 4/5
Step-by-step explanation: Took the test and got it right. I assumed it was the same because angles do not change after being dilated.
Find the perimeter and area of the shaded region.
Answer:
Perimeter of the shaded region= 22/7cm
Area = 36.48 cm²
Step-by-step explanation:
First of all for the perimeter.
The radius of the arc is 8cm
At an angle of 90°
Perimeter of of the shape is perimeter of the the 2 arc
The both arc are equal so let's determine the perimeter of one first.
Perimeter of the arc= 2πr*(90/360)
Perimeter of the arc= 2*22/7*1/4
Perimeter of the arc= 11/7 cm
Perimeter of the shades region= 2*11/7
Perimeter of the shaded region= 22/7cm
Area of the sector = πr²*(90/360)
Area of the sector= 50.24cm²
Area of non sector= 64-50.24
= 13.76
But non sector is two
Area of non sector= 2*13.76
= 27.52
Area of the shaded region = area of the square -(area of non sector)
= 64-27.52
= 36.48 cm²