Answer:
The angle is [tex]\theta =27.84^o[/tex]
Step-by-step explanation:
From the question we are told that
The height of the tree is [tex]h = 47 \ ft[/tex]
The length of the shadow is [tex]L = 89 \ ft[/tex]
Generally applying SOHCAHTOA , the angle of elevation is evaluated as
[tex]tan \theta = \frac{h}{L }[/tex]
=> [tex]tan \theta = \frac{47}{89}[/tex]
=> [tex]tan \theta = 0.52809[/tex]
=> [tex]\theta = tan^{-1} [0.52809 ][/tex]
=> [tex]\theta =27.84^o[/tex]
There are 30 students in the class. Eleven have blue eyes.
Fifteen have brown hair. Three students have both blue
eyes and brown hair. How many students have neither blue
eyes nor brown hair?
PLZ HELP ME OUTTTT
Answer:
7 students do have neither blue eyes or green hair
Please answer this one I need it done in 10 MINUTES!!!
he probability that an individual has 20-20 vision is 0.13. In a class of 24 students, what is the probability of finding five people with 20-20 vision
Answer: 0.111947
Step-by-step explanation:
Let x be a binomial variable that represents the number of people with 20-20 vision.
Given: The probability that an individual has 20-20 vision: p= 0.13
Sample size : n= 24
Binomial probability distribution formula:
[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]
The probability of finding five people with 20-20 vision :
[tex]P(X=5)=\ ^{24}C_5(0.13)^5(1-0.13)^{24-5}\\\\=\dfrac{24!}{5!19!}(0.13)^5(0.87)^{19}\\\\=0.111946975387\approx0.111947[/tex]
Hence, the required probability = 0.111947
The probability of finding five people with 20-20 vision is 0.0461.
Binomial Probability:The formula for the Binomial Probability is,
[tex]P(X = x) =(\frac{n!}{x!(n-x)!} )\times p^x \times (1-p)^{n-x}[/tex]
Given that,
[tex]p = 0.13\\1 - p = 0.87\\n = 72\\x = 5[/tex]
Substituting the given values into the above formula we get,
[tex]P(X = x) =(\frac{n!}{x!(n-x)!} )\times p^x \times (1-p)^{n-x}\\P(X=5)=(\frac{72!}{5!(72-5)!} ) (0.13)^5(0.87)^{72-5}\\P(X=5)=0.0461[/tex]
Learn more about the topic Binomial Probability:
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"PLEASE HELP" Michah has 8.25 more chapters to read in her book. Her book is due back in the library in 6 days. Spread evenly over 6 days, how much should she read each day to finish on time?
Answer:
we need to divide 8.25 by 6 in order to get like 1.375 chapters a day
Step-by-step explanation:
plz mark brainliest i answered first
Answer:
11/8 chapters/day
Step-by-step explanation:
This is a "rate" problem. Divide 8.25 chapters by 6 days:
8.25 chapters
reading rate: ------------------------
6 days
Rewriting this as 8 1/4 chapters / 6 days makes the arithmetic a bit easier.
We then have 33/4 chapters / 6 days, or 33/24 chapters / day.
This reduces to 11/8 chapters/day.
Georgia participated in a sleep study in which scientists found that she fell into REM sleep exactly every 45 minutes while she was asleep. If Georgia was asleep for 6One-half hours (390 minutes), how many periods of REM sleep did she have? A number line going from 0 to 420 in increments of 30. 6 periods 7 periods 8 periods 9 periods
Answer:
Well the correct answer for this is 8 periods long
Step-by-step explanation:
did this on edg it should be right
Answer:
8 periods is correct
Step-by-step explanation:
A bike shop marks up a hybrid bike from $200 to $330 and discounts a road bike from 330 to 200 by what you percent is the road bike discounted . I need the answer ASAP
Answer:
39.39%
Step-by-step explanation:
There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.
[tex]Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100[/tex]
1 - Understanding the equation
The '|'s which are surrounding the fraction are absolute value symbols in mathematics,
Absolute value means the positive value of anything inside
Examples:
| -8 | = 8
| 8 | = 8
and
| -2 | = 2
| 2 | = 2
the * 100 means you multiply (the * symbol means multiply) by 100.
We do this to get it into a percent.
3 - Assign numbers to the values from our equation
Original Value (What it changed from): 330
New Value (What it changed to): 200
3 - Plug in our values into our variables from our equation[tex]Percent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =[/tex]
Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.
Hope this helps :)
Solving Quadratic Equations question pls help asap 10 points!
Answer:
A.) 81
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural.
How wide and tall will the actual mural be?
Drag and drop the height and width of the actual mural into the boxes.
Mural Height Mural Width
2.5 ft5.5 ft10 ft22 ft
Answer:
0.42 ft
0.92 ft
Step-by-step explanation:
Width of mural on painting = 5 inches
Height of mural on painting = 11 inches
12 inches of the painting represents 1 foot of the mural
1 inch of the painting represenets [tex]\dfrac{1}{12}[/tex] foot of the mural.
[tex]5\ \text{inches}=5\times \dfrac{1}{12}=0.42\ \text{ft}[/tex]
[tex]11\ \text{inches}=11\times\dfrac{1}{12}=0.92\ \text{ft}[/tex]
The width of the mural is 0.42 ft and height of the mural is 0.92 ft.
The height and width of the actual mural into the boxes is 0.92 ft and 0.42 ft.
Calculation of the height and width:Since
Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural.
So here the width should be 5 of 1 by 12 should be 0.42 feet
And, the height should be 11 of 1 by 12 should be 0.92 ft.
Hence, The height and width of the actual mural into the boxes is 0.92 ft and 0.42 ft.
learn more about width here: https://brainly.com/question/17397308
It costs $3.45 to buy 3/4 lb of chopped walnuts. What is the unit price for one
pound of chopped walnuts? Show or explain your reasoning. *
Answer:
Step-by-step explanation:
3.45/(3/4)
3.45/0.75
4.6$ per pound
What is the perimeter, in units, of polygon ABCDEF
Answer:
30
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
The perimeter of the marked polygon is 26 units.
What is a perimeter?Perimeter is the distance around the outside of a shape.
Given is a polygon, ABCDEF,
Using the distance formula, we have,
(P, Q) = √ (x2 – x1)² + (y2 – y1)².
AB = 3 units
BC = 4 units
CD = 3 units
DE = 7 units
EF = 6 units
FA = 3 units
Perimeter = AB+BC+CD+DE+EF+FA = 3+4+3+7+6+3 = 26 units.
Hence, The perimeter of the marked polygon is 26 units.
For more references on perimeters, click;
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#SPJ1
hours
3 5 8 12
paid $29.25 $48.75 $74 $111
Does (5, 10)make the inequality y ≥ 10x+5 true
Answer:
It is False.
Step-by-step explanation:
When you substitute the coordinates into the inequality equation :
[tex]y \geqslant 10x + 5[/tex]
[tex]let \: x = 5,y = 10[/tex]
[tex]10 \geqslant 10(5) + 5[/tex]
[tex]10 \geqslant 55 \: (false)[/tex]
Therefore, 10 isn't greater than 55.
[tex]\qquad\quad {:}\longmapsto\sf x=5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf y=10 [/tex]
Write the inequality equation[tex]\qquad\quad {:}\longmapsto\sf y \geqslant 10x+5[/tex]
Substitute the values[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 10 (5)+5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 50+5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10 \lt 55 [/tex]
[tex]\therefore \sf y \geqslant 10x+5 {\boxed {False}}[/tex]
What value of p makes the equation true? (-3)(p) + 1/8 = -1/4
Answer:
Exact Form:
p=1/8
Decimal Form:
p=0.125
Step-by-step explanation:
i need help
ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr
Answer:
ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr = 42
Step-by-step explanation:
Answer:
go back to 1st grade
I need help finding this answer
Answer:
x = -6
Step-by-step explanation:
3.484
+ 17
What’s the answer?
Answer:
504
Step-by-step explanation:
Answer:
20.484
Step-by-step explanation:
Just add it up, 3.484 plus 17 is equal to 20.484.
3.484
+ 17
-------------
. 4x-5(x-2y)+1/2(6x+3y) simpily
Answer:-x+19y
Step-by-step explanation:
I need help on this one please
Answer:
B
Step-by-step explanation:
(-2,4), (0,6), and(2,8)
A bonus of $156 is paid to one team of 3 workers. How much money does each person on the team get?
Answer:
$52
Step-by-step explanation:
Answer:
156 / 3 = 52
Step-by-step explanation:
If there is a $156 bonus and each worker gets the same amount you divide 156 by 3 which equals out to 52. So 52 dollars is your answer.
10. Find the slope of a line perpendicular to the line containing (-8, 10) and (0,9).
the slope would be 8/1
your welcome
Write each amount in words as it would appear on a check. $10.91
Answer: Ten and 91/100.
Step-by-step explanation:
steve must pay 28% of his salary in federal income tax. If his salary is 168,000, how much is his federal income tax
Answer:
Step-by-step explanation:
168000*28%=47,040
help it is math i need help pls pls pls pls
Answer:
I’ll go horizontal.
Step-by-step explanation:
-0.6 0.95 3.8
0.46 -1.625 0.76
4.4594594594595 −5.2727272727273 0.70833333333333
6.21875 7.4090909090909 −1.3541666666667
Hope this helped! :)
IF U CAN ANSWER THESE U GET ALOT OF POINTS dont rob my points im failing there are 4
1 If 2 inches is about 5.08 centimeters, about how many inches is 32 centimeters? Round your answer to the nearest hundredth if necessary.
2 James went out to eat and his total, including tax, was $24.00. How much money would he leave total if he wanted to leave a 20% tip?
3John ran 612 miles. Ben ran half the distance that John ran. Sara ran a total of 4.75 miles. What was the total distance combined of all three runners?
4 Julie had 313 cups of flour. A brownie recipe called for 223 cups of flour. If Julie made one batch of brownies, how much flour did she have left over?
Select the perfect square trinomial from among the options below.
A) x2 - 12x +36
B) x2 + 4x - 4
C) x2 - 2x-3
D) x2 + 10x + 20
Answer:
Step-by-step explanation:
x^2 - 12x +36
please help with this
Answer:
Dafuq
Step-by-step explanation:
Answer:
Step-by-step explanation:
They are equal because if you connect the points they both make acute and obtuse angles
merry early Christmas help me thx.
Answer:
The answer is 4 to 5
Step-by-step explanation:
The ratio 36 to 45 simplified is 4 to 5
36 divided by 9 = 4
45 divided by 9 = 5
Consider the points below. P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
Required:
Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
Answer: the vector orthogonal is ( 0, 26, -13 )
Step-by-step explanation:
Given that;
P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
PQ = Q - P = (−2, 1, 4) - (2, 0, 2) = (-4, 1, 2)
PR = R - P = (7, 2, 6) - (2, 0, 2) = ( 5, 2, 4)
SO
orthogonal vector = PQ × PR
= ║ i j k
-4 1 2 = i(1×4 - 2×2) + j(5×2 - (-4×4)) + k(-4×2 - 5×1) = 0i + 26j - 13k
5 2 4 ║
= ( 0, 26, -13 )
Therefore the vector orthogonal is ( 0, 26, -13 )
Find the missing length of each right triangle
Answer:
24 cm
Step-by-step explanation:
10² + b² = 26²
b = √(26² - 10²) = √576 = 24 cm
pls help i need help pls asap
Answer:
I Think C most likey because u can dived them very easily