Answer:
203 ft.
Step-by-step explanation:
Since we are given the measurements of two sides, we can use trig to find the angle (or our reference angle, we'll call it x) the sides form.
SOH-CAH-TOA
We'll use cosine since the adjacent and hypotenuse were given for our reference angle.
Cos(x) = (adj/hyp)
Cos(x) = (396/445)
[Cos(x)]cos^-1 = (396/445)(cos^-1)
x ≈ 27.1409 (Nearest ten-thousandth)
And now we find the missing side using our now known angle.
SOH-CAH-TOA
Tan(x) = (opp/adj)
Tan(27.1409) = (opp/396)
0.5126 ≈ (opp/396)
(0.5126)(396) ≈ (opp/396)(396)
Opp = 203
Missing Side = 203 ft
Does this graph show a function? Explain how you know.
A function is only a function if it passes the vertical line test, meaning every x-value has only one y-value. In the case of this graph, it does not pass the vertical line tests and has multiple y-values for each x-value.
Correct Answer: A. No; the graph fails the vertical line test.
B is incorrect because y-values can have more than 1 x-value, such as a function like y = 2. The opposite is the correct statement; x-values can have no more than 1 y-value. For example, x = 2 would not pass the vertical line test.
Hope this helps!
In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results.
6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5
Construct a dotplot with these data and then identify the dotplot you created.
Answer:
The average, mode, and median of the results are 5, meaning that half of the time the quarter will land on heads.
Step-by-step explanation:
The required dot plot shows the result of the experiment performed by flipping a quarter 21 times.
In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results. 6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The dot plot has been made, for the number of outcomes and their frequencies. The dot plot gives the info about the mean mode and median.
Thus, the required a dot plot showing the result of the experiment performed by flipping a quarter 21 times.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Solve 4 sinx + 9 cosx=0 for 0°
4 sin(x) + 9 cos(x) = 0
4 sin(x) = -9 cos(x)
tan(x) = -9/4
x = arctan(-9/4) + nπ … … … (in radians)
or
x = arctan(-9/4) + 180n ° … … … (in degrees)
where n is any integer.
I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of
x ≈ 113.96° and x ≈ 293.96°
You start at (1, 6). You move up 1 unit and right 7 units. Where do you end?
Answer:
(8,7)
Step-by-step explanation:
Because our x-value for this ordered pair is 1, and it says to move to the right 7 units, 1+7 = 8. Therefore, our x-value for the ordered pair would be 8.
Because our y-value for this ordered pair is 6, and it says to move up 1 unit, 6+1=7. Therefore, our y-value for the ordered pair would be 7.
Once we have our x- and y-value, we can set up the ordered pair:
(8,7)
Answer:
(7, 8)
Step-by-step explanation:
In the picture below, when the point is moved up, it only changes the y part of the point, and the x part is kept the same. When the point is moved right by 7 units, the x part is changed while the y part is kept the same.
Hope this helps.
Please help solve for x
Answer:
8.49
Step-by-step explanation:
there is a little formula related to the famous formula of Pythagoras.
it says that the height of a triangle is the square root of the product of both segments of the baseline (the segments the height splits the baseline into).
so, x is actuality the height of the triangle.
x = sqrt(3×24) = sqrt(72) = 8.49
Hey I’m having trouble finding out how to divide fractions
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
if 2/5 of the sweets in a bag is 60, how
many sweets would represent 1/3
Answer:
50 Candy
Step-by-step explanation:
We know that 2/5 of the bag is 60 candy. By taking this information we can conclude that 1/5 of the bag is 30 candy. We know that 1/5 of the bag is 30, so 30 times 5 is 150 candy.
Now that we have found out that there is 150 candy total we can know divde 150 by 3 to find out how much candy is in 1/3 of the bag.
150/3 = 50 Candy
1/3 of the bag represent 50 candy.
The surface area of a cylinder is given by the formula
S = 30πr + 2πr2
How many times greater is this compared to a circle with A = πr2
Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2) , Given volume and lateral area: r = 2 * V / A_l , Given base area: r = √(A_b / (2 * π)) , Given lateral area and total area: r = √((A - A_l) / (2 * π)) .
The sum of three numbers is 78. The second number is 10 more than the first, and the third number is two times the second number.
1. Write an equation that will help you determine the 3 numbers.
2. Solve the equation showing all your steps.
3. Tell what the 3 numbers are.
Step-by-step explanation:
a+b+c=78
b=10+a
c=2b
then, we back the first
a+10+a+2b=78
2a+2b=78- 10
2a+2(10+a)=68
2a+2a=48
4a=48
a=12
b=22
c=44
Please help me to solve this two questions
Answer:
c.8,625grams of flour
4a. X=12
Y=30
Z=60
Step-by-step explanation:
For c. , You have to convert the mixed numbers to fractions.
2¾ cups of flour= 2×4=8
8+3=11
Answer: 11/4 (11 over 4)
You multiply the 2 (whole number) by the 4 (bottom number) and then you get *8*
You then take the 8 (which was your answer) and add 3. This will give you 11
You take the 4 and use it as your denominator (bottom number) for the 11. So no need to find a denominator, because you just use the 4
For the fruit cake, she uses *1½* cups of flour more than carrot cake
Calculation:
1½ converted to an improper fraction= 1×2=2
2+1=3
Answer: 3/2 (3 over 2)
"Customer orders *3* carrot cakes and *4* fruit cakes
How many cups of flour are required to bake for the cakes ordered by the customer?"
11/4÷3= 8,25grams
3/2÷4= 0,375grams
8,25+0,375=8,625grams in total
*Feel free to correct me as I might be wrong!*
If n(A)=36, n(B)=10, n(AU B) = 40 and n(A) = 27 find n(U) and n(AB
Answer:
n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)
Given n(A)=7
n(B)=9
n(A∪B)=14
Substituting in 1
14=7+9−n(A∩B)
⇒n(A∩B)=16−14=2
Step-by-step explanation:
ok
Answer:
The question is incomplete.
It should be:
If n(A)=36, n(B)=10, n(A∪B)=40, and n(A')=27. Find n(∪) and n(A∩B)Find n(U)
n(A') = n(∪) - n(A)27 = n(∪) - 36n(∪) = 27 + 36n(∪) = 63Find n(A∩B):
n(A∪B) = n(A) + n(B) - n(A∩B)40 = 36 + 10 - n(A∩B)n(A∩B) = 46 - 40n(A∩B) = 6Y = 2x + 3
(2, 7)
(1, 3)
(-3, 6)
(0, 2)
Answer:
(2,7)
Step-by-step explanation:
Will give Brainliest!!
Jocelyn eats 5 gummy worms today. Each day she eats one more than the day before. How many gummy worms in all will she have eaten by the end of Day 32?
Answer:
Jocelyn will have eaten 620 (which is way too much) by the end of day 32.
Step-by-step explanation:
First find out all the numbers that have to be added.
5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35
Then, Add.
5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35
= 620
Jocelyn ate 620 gummy worms by the end of the 32nd day.
Thank YOu! Please mark me brainliest!
Answer:
656
Step-by-step explanation:
i took the test
f(x) = 5x + 2x^2-7x+4
g(x) =3x-7
find (f+g)(x)
Answer:
(f+g)(x)=5x+2x²-7x+4+3x-7 = 2x²+x-3
Step-by-step explanation:
Answer:
=6x^3-20x^2+26x-28
Step-by-step explanation:
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
will give brainliest to correct answer
Answer:
Step-by-step explanation:
I answered your question in #24317186. Apparently you asked it twice and no one helped you yesterday.
16 + 28 = ___ ´ (4 + 7).
Answer:
Solution given:
16+28=44
(4+7)=11
Answer:
The solution is 4
Step-by-step explanation:
Step 1: Find the correct answer
I'm not really sure what you are asking but I will give it a shot.
16 + 28 = ___ (4 + 7)
44 = ___ (11)
44 / 11 = ___ (11) / 11
4 = ___
Answer: The solution is 4
Find QR
a. -8
b. 12
c. 6
d. 9
What is the equation of the graph shown?
Answer:
2y+3x-2=0
Step-by-step explanation:
The slope of the line is 3/2 and the equation of line is y=-1.5x+1
If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)( ) = . The check of the polynomial division problem shows that the product of two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.
Answer:
[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]
Step-by-step explanation:
Given
[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]
[tex](x + 7) * (\ ) = [\ ][/tex]
Required
Complete the blanks
We have:
[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]
Rewrite as:
[tex]\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1[/tex]
Cross multiply
[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]
Answer:
Answer B, C, C
If Malcolm selects two coins at random without replacement, what is the probability (as decimal) that he selects a nickel followed by a dime? Penny 8 Nickel 6 Dime 8 Quarter 7
Answer:
65
Step-by-step explanation:
because
Answer:
1st coin: the probability for it to be a nickel is 6/29.
the 2nd coin, the probability for it to be a dime is 8/28.
total probability is 6/29 * 8/28 = 14/203.
Instructions: Find the missing side of the triangle.
24 and 7
If 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.
To find the missing side of the triangle, we need more information about the triangle. Specifically, we need to know which side is missing: the hypotenuse (longest side) or one of the legs.
If 24 and 7 are the lengths of the legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Let's label the hypotenuse as 'c' and the legs as 'a' and 'b'.
Using the Pythagorean theorem:
[tex]c^2 = a^2 + b^2[/tex]
Substituting the given values:
[tex]c^2 = 24^2 + 7^2\\c^2 = 576 + 49\\c^2 = 625[/tex]
Taking the square root of both sides:
c = √625
c = 25
Therefore, if 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.
To know more about lengths , here
https://brainly.com/question/28322552
#SPJ2
If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers
Answer and explanation:
Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:
(n+3)²-(n)²= (n+3)(n+3)-(n)²
=n²+3n+3n+9-n²
=6n+9
Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.
Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing service during the night and whether or not these patients are on Medicare. The data are presented here: Patient Category Medicare Surgical Medical Yes 46 52 No 36 43 Test the hypothesis (using ) that calls by surgical-medical patients are independent of whether the patients are receiving Medicare. Find to 2 decimal places the P-value for this test. The evidence Choose the answer from the menu in accordance to the question statement sufficient to claim that surgical-medical patients and Medicare status are dependent.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43[/tex]
[tex]\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}[/tex]
[tex]=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976[/tex]
P-value= [tex]CHIDIST(0.032976,1) = 0.86.[/tex]
thus, the surgical-medical patients and Medicare are dependent.
Find the third term of (x^2 + 2)^4.
Answer:
Step-by-step explanation:
[tex]in~the~expansion~of~(x+a)^n\\T_{r+1}=ncr x^{n-r}a^r\\r+1=3\\r=3-1=2\\n=4\\4c2=\frac{4 \times 3}{2 \times 1} =6\\T_{2}=4(x^2)^{4-2}(2)^2\\=16(x^2)^2\\=16x^4[/tex]
the third term is: 24*x^4
We want to find the third term of the equation:
(x^2 + 2)^4
So we need to expand that.
Remember the rule:
(a + b)^2 = a^2 + 2*a*b + b^2
(a + b + c)^2 = a^2 + b^2 + c^2 + 2*a*b + 2*b*c + 2*c*a
Then we can write:
(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2
and we have:
(x^2 + 2)^2 = (x^4 + 2*2*x^2 + 2^2) = (x^4 + 4*x^2 + 4)
Then we have:
(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2
(x^2 + 2)^4 = (x^4 + 4*x^2 + 4)^2
And we can expand this as:
(x^4)^2 + (4*x^2)^2 + 4^2 + 2*(x^4)*(4*x^2) + 2*(4*x^2)*(4) + 2*(x^4)*(4)
now we have this expanded, so we need to simplify this:
x^8 + 16*x^4 + 16 + 8*x^6 + 32*x^2 + 8*x^4
Putting the terms in order (larger degrees go in the left) we get:
x^8 + 8*x^6 + 16*x^4 + 8*x^4 + 32*x^2 + 16
x^8 + 8*x^6 + (16 + 8)*x^4 + 32*x^2 + 16
x^8 + 8*x^6 + 24*x^4 + 32*x^2 + 16
So the third term would be the third counting from the left, which is:
24*x^4
If you want to learn more, you can read:
https://brainly.com/question/12556222
please help me i will give 20 points for this question
Answer:
1. a. 2
b. -½
c. y - 3 = -½(x - 8) => point-slope form
y = -½x + 7 => slope-intercept form
2. a. -1
b. 1
c. y - 5 = 1(x - 3) => point-slope form
y = x + 2 => slope-intercept form
Step-by-step explanation:
1. (8, 3) and (10, 7):
a. The gradient for the line joining the points:
Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (8, 3) = (x_1, y_1) [/tex]
[tex] (10, 7) = (x_2, y_2) [/tex]
Plug in the values
Gradient = [tex] \frac{7 - 3}{10 - 8} [/tex]
Gradient = [tex] \frac{4}{2} [/tex]
Gradient = 2
b. The gradient of the line perpendicular to this line = the negative reciprocal of 2
Negative reciprocal of 2 = -½
c. The equation of perpendicular line if it passes through the first point, (8, 3):
Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).
Where,
(a, b) = (8, 3)
Slope (m) = -½
Substitute (a, b) = (8, 3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - 3 = -½(x - 8) => point-slope form
We cam also express the equation of the perpendicular line in slope-intercept form by rewriting y - 3 = -½(x - 8) in the form of y = mx + b:
Thus:
y - 3 = -½(x - 8)
y - 3 = -½x + 4
y - 3 + 3 = -½x + 4 + 3
y = -½x + 7
2. (3, 5) and (4, 4):
a. The gradient for the line joining the points:
Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5) = (x_1, y_1) [/tex]
[tex] (4, 4) = (x_2, y_2) [/tex]
Plug in the values
Gradient = [tex] \frac{4 - 5}{4 - 3} [/tex]
Gradient = [tex] \frac{-1}{1} [/tex]
Gradient = -1
b. The gradient of the line perpendicular to this line = the negative reciprocal of -1
Negative reciprocal of -1 = 1
c. The equation of perpendicular line if it passes through the first point, (3, 5):
Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).
Where,
(a, b) = (3, 5)
Slope (m) = 1
Substitute (a, b) = (3, 5), and m = 1 into the point-slope equation, y - b = m(x - a).
Thus:
y - 5 = 1(x - 3) => point-slope form
We can also express the equation of the perpendicular line in slope-intercept form by rewriting y - 5 = 1(x - 3) in the form of y = mx + b:
Thus:
y - 5 = 1(x - 3)
y - 5 = x - 3
y - 5 + 5 = x - 3 + 5
y = x + 2
8x(x-2017)-2x+4034=0
Answer:
¼ và 2017
Step-by-step explanation:
Can someone please help me with my maths question
Answer:
[tex]a. \ \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
[tex]b. \ \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
Step-by-step explanation:
The question relates with rules of indices
(a) The give expression is presented as follows;
[tex]\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}[/tex]
By expanding the expression, we get;
[tex]\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}[/tex]
Collecting like terms gives;
[tex]\dfrac{m^{(3 + 4 - 6)} \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
[tex]\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]
(b) The given expression is presented as follows;
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4[/tex]
Therefore, we get;
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n}[/tex]
Collecting like terms gives;
[tex]x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )[/tex]
[tex]x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]
For which of the following equations is x = 7 not a solution?
4= -x + 11
-3x = x - 28
-5 = 2x – 9
5x = 2x + 21
Answer: For following equation x = 7 not a solution:
-5 = 2x-9
Answer:
Step-by-step explanation:
Put x to the equation.
4=-7+11 => 4=4 ✓
-3•7=7-28 =>-21=-21 ✓
-5•7= 2•7-9 =>-35=5 is incorrect.
5•7=2•7+21 =>35=35 ✓
Hence,for the third equation x is not a solution.
I need help to find W =
Answer:
120
Step-by-step explanation:
Since the figures are similar the angles are the same
<A = <F
<B = <E
<C = <C
<D = <G
We know <G = 120 so angle D = 120
W = <D = 120
Answer:
w = 120 degrees
Step-by-step explanation:
ABCD and FECG are the same shapes, which means they also have the same angles.
∠A = ∠F
∠B = ∠E
∠C = ∠C
∠D = ∠G
∠G = 120°, so D = 120°
So, w = 120°
I need help to Find the value of x. Round to
the nearest tenth.
Answer:
4.5
Step-by-step explanation:
We are given opposite and adjacent, so use tangent
tan(37)=x/6
6tan(37)=4.521324301