Answer:
5√17=
20.6
Step-by-step explanation:
[tex]adj \: = 5 \\ opp \: = 20 \\ hyp \: = \: \\ pythagoras \: theorem \: \: = \\ {hyp}^{2} = {opp}^{2} + {adj}^{2} [/tex]
[tex] {hyp \:}^{2} = {20}^{2} + {5}^{2} \\ {hyp }^{2} = 400 + 25 \\ {hyp}^{2} = 425 \\ \sqrt{ {hyp}^{2} } = \sqrt{425} [/tex]
[tex]hypotenuse \: = 5 \sqrt{17} [/tex]
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 20.6257 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The digram for the given condition is given below. Now, in ΔABC, the tangent value for ∠A can be written as,
tan(38°) = BC/AB
tan(38°) = 5 feet / AB
AB = 6.3997 feet
Now, in ΔABC and ΔADE for ∠A the value of the tangent can be written as,
tan(38°) = BC/AB = ED/AD
5/6.3997 = ED/(20 + 6.3997)
ED = 20.6257 feet
Hence, the height of the tree is 20.6257 feet.
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plz answer this one clip is down below will mark brainiest if get it right thank you
Answer:
Third option is correct.
Step-by-step explanation:
Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.
Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.
Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.
HELP ME PLEASE ~ Thanks :)
Answer:
A
Step-by-step explanation:
99/479
formula: girls in action divided by everyone
in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?
Answer:
The initial value is 1500
growth
43 % growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
f(x) = 1500 * 1.43 ^x
The initial value is 1500
1.43 > 1 so it is growth
1- 1.43 = .43
Change to percent
43 % growth
F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)
Answer:
(f - g)(x) = -x² + 2x + 8
Step-by-step explanation:
Step 1: Plug in variables
2x + 1 - (x² - 7)
Step 2: Distribute the negative
2x + 1 - x² + 7
Step 3: Combine like terms
-x² + 2x + 8
Answer:
-x^2 +2x +8
Step-by-step explanation:
F(x) = 2x+1
g(x) =x^2-7
(f-g) (x) =2x+1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 -x^2 +7
-x^2 +2x +8
Multiply. (5x+7)^2 :)
Answer:
The answer is B.
Step-by-step explanation:
You can expand it in a simplier way using :
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
So for this question :
[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]
Answer:
B. 25x^2+70x+49
Step-by-step explanation:
To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).
So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.
What is the value of x in the equation 4x +8y=40, when y=0,8?
Answer:
x=8.4
Step-by-step explanation:
4x +8y=40
replace y as 0.8
4x+8*0.8=40
4x+6.4=40
subtract 6.4 from both sides
4x=33.6
divide by 4
x=8.4
Step-by-step explanation:
4x + 8y = 40
Simplify the equation
Divide all terms by 4
We have
x + 4y = 10
Make x the subject
x = 10 - 2y
When y = 0.8
Substitute the value of y into the equation
We have
x = 10 - 2(0.8)
x = 10 - 1.6
x = 8.4
Hope this helps you
SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/
Answer:
Step-by-step explanation:
First let's find the value of x :
We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2
the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2 =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distanceLet's find the hypotenuse :
The pythagorian theorem :
h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distanceAn interior angle of a regular convex polygon is 140°. How many sides does the polygon have?
Answer:
hope it will help uh.....
What are the three main areas of a machine?
Answer:
Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.
You can find more of this information on google if youd like.
Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.
The questions doesn't really specify much here is as much I can say.
Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).
20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.
Best of Luck!
In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?
Same number of rows to chairs in a row would form a square.
Use the total number of students as the area
Find the number or rows by taking the square root of student:
The square root of 7033 is 83.86
Round up to 84
Total seats would be rows x seats per row:
84 x 84 = 7,056 total seats
7056 seats - 7033 students = 23 empty seats
Draw the graphs of y=2x plus 1
Hey there! :)
Answer:
Graphed below.
Step-by-step explanation:
Graphing y = 2x + 1 can be done by finding points on the line. Find the y and x intercepts to make graphing more simple:
Solving for the y-intercept:
y = 2(0) + 1
y = 1, or (0, 1). This is the y-intercept.
Solving for the x-intercept:
0 = 2x + 1
Subtract 1 from both sides:
-1 = 2x
Divide both sides by 2:
x = -1/2, or (-1/2, 0). This is the x-intercept. We can graph the equation given these two points.
PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
Answer:
44%
Step-by-step explanation:
For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.
What is 5d - 10 = 20
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to each side
5d - 10+10 = 20+10
5d = 30
Divide by 5
5d/5 = 30/5
d = 6
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to both sides of the equation
5d = 30
Divide both sides of the equation by 5
d = 6
Hope this helps :)
The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?
Answer:
[tex]39.8^{\circ} C[/tex]
Step-by-step explanation:
We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation
[tex]t(h)=10cos(15h-10)^{\circ}+30[/tex]
Where h=Hour of the day with 0 meaning midnight
t=Temperature in degree Celsius
We have to find the temperature on October 1.
Substitute h=0
[tex]t(0)=10cos(15(0)-10)+30[/tex]
[tex]t(0)=10cos(-10)+30[/tex]
[tex]t(0)=39.8^{\circ} C[/tex]
Hence, the temperature in Elma on October 1=[tex]39.8^{\circ} C[/tex]
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Answer: B
Step-by-step explanation:
If we assume the no. of books to be x.
Value of more books will be 8.15 x
The equation will be
8.15x + 32.5 = 204
PLEASE HELP!!!
Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.
The standard deviation is about $27.
If a sixth skateboard is added to the sample that has a price of $450, what
happens to the standard deviation?
Answer:
standard deviation=143.527
C
Step-by-step explanation:
75, 82, 100, 120, 140.
if we add 450
75, 82, 100, 120, 140,450
standard deviation=143.527
find the mean=sum /count=967/6=161.167
then find the √square difference between each sample and the mean, add up the differences²/6-1
find the square root of the differences=143.527
Answer:
C-the new standard deviation is greater the $27
Find the area of the regular polygon.
32
Answer: 45
Step-by-step explanation: that is correct
What is the product? [ 4 2 ] x [ -2 5 7 -1 ]
Answer:
The fourth option is correct [6 18]Step-by-step explanation:
This problem has to do with matrix multiplication.
we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix
=[4*-2+2*7] and [4*5+2*-1]
=[-8+14] and [20+-2]
=[6 18]
Answer:
c. (6,18)
Step-by-step explanation:
How do you simplify:
[tex] \sqrt{(125 ^{2} } ) ^{ - \frac{1}{3} } [/tex]
Answer:
[tex]\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125[/tex]
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.
Answer:
9
Step-by-step explanation:
Put the given information into the equation and solve for x.
y = (2/3)x -6
0 = (2/3)x -6 . . . . . substitute for y
0 = x - 9 . . . . . . . . multiply by 3/2
9 = x . . . . . . . . . . . .add 9
The x-coordinate of the x-intercept point is 9.
Answer:
x=9
hope this helps :>
Differentiate x^(-3)/3-2x^2-x^(-1)
Answer:
-2x^2
Step-by-step explanation:
Simplify
x^-1 - 2x^2 - x^-1
becomes
-2x^2
What two numbers multiply to 1/4 and add to -1?
Answer:Are there any options?
Step-by-step explanation:
Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find two numbers whose product is 1/4 and add to -1.
Let the two numbers are x and y.
By given,
Two numbers multiply to 1/4
xy=1/4
Two numbers add to -1
x+y=-1
Let x=-y-1
Substitute in equation 1.
(-y-1)y=1/4
-y²-y-1/4=0
Multiply negative on both sides
y²+y+1/4=0
Use quadratic formula
b=1,c=1/4,a=1
y=-1±√1-1/2=-1/2
Now substitute y in x+y=-1
x-1/2=-1
x=-1+1/2
x=-1/2
Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
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0.6y + 0.8 = 0.28y + 1.12
Answer:
y = 1Step-by-step explanation:
[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]
Move the variable to L.H.S and change its sign:
[tex]0.6y - 0.28y + 0.8 =1.12[/tex]
Move the constant to R.H.S and change its sign:
[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]
Calculate
[tex]0.32y = 0.32[/tex]
Divide both sides of the equation by 0.32
[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]
Calculate
[tex]y = 1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~
0.6y + 0.8 = 0.28y + 1.12 =
[tex]y = 1[/tex]
~~~~~~~~~~~~~~~~~`~~~
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you. Brainliest would be nice!
☆_________________❤︎_________________☆
HELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1
Answer:
arc m AE = 120
Step-by-step explanation:
∠C = 1/2 (AE-BD)
We can fill most of that in with the info we were given:
36= 1/2(AE-48)
Multiply both sides by 2 to get
72 = AE - 48 so
AE = 120°
Peter makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3. Red paint costs £80 per 10 litres. White paint costs £5 per 10 litres. Peter sells his pink paint in 10-litre tins for £60 per tin. Calculate how much profit he makes for each tin he sells
Answer: £25
Step-by-step explanation:
Given the following :
pink paint production = mixing red and white paint in the ratio 2 : 3
Price of red paint = 80 per 10 Litre
Price of white paint = 5 per 10 Litre
Selling price of pink paint = £60 per 10 litre
Recall the ratio of red to white paint :
2 : 3 ; 2 +3 = 5
Therefore,
Amount of Red paint used:
= (2/5) × 10 ; 20/5 = 4,
Cost per Litre = 80 / 10 = £8
Cost of red paint = 4 × 8 = £32
Amount of white paints used:
= (3/5) × 10 ; 30/5 = 6
Cost per Litre = 5 / 10 = £0.5
Cost of white paint = 6 × 0.5 = £3
Total cost of production = £(32 + 3) = £35
Profit = selling price - product cost
Profit = £(60 - 35) = £25
Helppp!!!! please!!!
Answer:
A) 120 ft^2
Step-by-step explanation:
The total surface area is the sum of the areas of the 4 congruent triangular sides and the area of the square base.
TA = 4 * area of triangle + area of square
TA = 4 * bh/2 + s^2
TA = 4 * 6 ft * 7 ft/2 + (6 ft)^2
TA = 84 ft^2 + 36 ft^2
TA = 120 ft^2
Answer:
A) 120 ft^2
Step-by-step explanation:
2a + 5a x 4a - a simplify
Answer:
20a² + a
= a(20a + 1)
Step-by-step explanation:
2a + 5a × 4a - a
= 2a + 20a² - a
= 20a² + a
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
based on the function h(t), what will be the account value five years after the account is opened?
Answer:
Option B
Step-by-step explanation:
f(t) = 5000
g(t) = 250t
h(t) = f(t) + g(t) = 5000 + 250t
After 5 years, the amount of money in the account is:
h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$