Answer:
17.5 ft
Step-by-step explanation:
6.25/10 = x/28
x = 28(6.25/10)
x = 17.5 ft
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 17.5 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.
Given that George casts a 10-foot tall shadow when the tree casts a 28-foot shadow. Also, George's height is 6.25 feet. Therefore, the tan angel can be written as,
tan(θ)= George's height/George's shadow = Tree's height/Tree's shadow
George's height/George's shadow = Tree's height/Tree's shadow
6.25 feet / 10 feet = Tree's height/28 feet
Tree's height = 17.5 feet
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Solve the system of equations.
y = 7x - 9
y= 7x + 7
a. (-4,1)
b. (-4,-1)
(4,1)
d. No solution
Answer:
No solution
Step-by-step explanation:
7x-9 = 7x+7
7x = 7x +16
0 = 16
NO SOLUTION
HELP MEEEEE PLEASEEEEEE
Answer:
Step-by-step explanation:
2x + 1 = 5
2x = 4
x = 2
see image help me as fast as possible, please
Answer:
28.2
Step-by-step explanation:
radius of semicircle=(4/2) = 2
circumference of circle=
[tex]2\pi \:r[/tex]
[tex]circumference \: of \: semicircle = 0.5 \times 2\pi \:r[/tex]
perimeter=9+9+2pi+4
=28.2
Using a weighted moving average with weights of 0.60 for June, 0.30 for May, and 0.10 for April, find the July forecast
This question is incomplete, the complete question is;
Given that a Historical Demand for a product is;
Month Demand
January 12
February 11
March 15
April 12
May 16
June 15
Using a weighted moving average with weights of 0.60 for June, 0.30 for May, and 0.10 for April, find the July forecast.
Answer: the July forecast is 15
Step-by-step explanation:
Given that;
Month Demand Weights
January 12
February 11
March 15
April 12 0.10
May 16 0.30
June 15 0.60
July ? ?
Formula for calculating weighted moving average is
Ft = w1A_t-1 + w2A_t-2 ............+ wnA_t-n
w1, w2, wn is the weight assigned to the period t-1, t-2, t-n respevtively
A_t-1, A_t-2, A_t-n is the demand period t-1, t-2, t-n respevtively
and n is the total number prior periods in the forecast.
so we just substitute our values into the equation
Forecast(July) = (15 × 0.6) + (16 × 0.30) + ( 12 × 0.10)
= 9 + 4.8 + 1.2
= 15
Therefore the July forecast is 15
Help me with this question pleaseee
Answer:
Step-by-step explanation:
Remark
If the horizontal lines are parallel, then 2x + 20 = 3x - 10
Equation
2x + 20 = 3x - 10
Add 10 to both sides
2x + 20 + 10 = 3x
Subtract 2x from both sides
30 = x
2x + 20 = 2*30 + 20 = 80
Answer:
x = 30 and both the angles are 80°
__________________________________________________________
In the given figure,
∠(2x + 20) = ∠(3x - 10) [corresponding angles]
20 = x - 10 [subtracting 2x from both sides]
x = 30 [adding 10 on both sides]
Value of the angles:
the questions required us to find the measure of a certain ∠XAE, but since we cannot see an ∠XAE in the image provided, we will find the measure of both the angles [let ∠(2x + 20) = ∠1 and ∠(3x-10) = ∠2]
Measure of ∠1:
We are given that the magnitude of ∠1 is:
∠1 = 2x + 20
since x = 30
∠1 = 2(30) + 20 [replacing the value of x]
∠1 = 80°
Measure of ∠2:
We are given that the magnitude of ∠2 is:
∠2 = 3x - 10
since x = 30
∠2 = 3(30) - 10 [replacing the value of x]
∠2 = 80°
A copy machine can print 480 copies every 4 minutes.
A teacher printed 720 copies. How long did it take to print?
which of the following presents a geometric sequences
Answer:
Where is the options?
...
Explain the process and the properties you have to use to solve the logarithmic equation: [tex]log_3x + log_3 4 - 2log_3 3 = 2[/tex]
The answer is down below
Javier solved the equation shown
8(9 + x) = 192
72 + x = 192
x = 120
Which mistake did Javier make in his calculations?
Answer:
8 should be multiplied in the parenthesis
Step-by-step explanation:
8(9 + x) = 192
72 + 8x = 192
8x = 120
x = 4
Javier made the mistake while expanding the brackets.
What is the order of operation?Order of operation means simplify the function , expression etc. in given manner.
To expand a single bracket multiply each term inside the bracket by the term outside the bracket.
8 (9+x) = 192
8*9 + 8*x = 192
72 + 8x = 192
Now, rearranging the above expression
8x = 192 - 72
8x = 120
x = 120/ 8
x = 5
Hence, Javier made the mistake while expanding the brackets.
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Write the equation of the line that has a slope of 2 and passing through (3,-4) point
Answer:
[tex]y=2x-10[/tex]
Step-by-step explanation:
We know that the line has a slope of 2 and it passes through the point (3, -4).
So, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:
[tex]y-(-4)=2(x-3)[/tex]
Solve for y. Distribute the right:
[tex]y+4=2x-6[/tex]
Subtract 4 from both sides. Therefore, our equation is:
[tex]y=2x-10[/tex]
Shenea bought 3 bottles of juice for $12. Write the rate as a fraction. Then find the unit rate.
Help plzz will give brainliest
Answer:
18.2
Step-by-step explanation:
because 17+24+19+17+14=91 then 91/how ever many numbers are in the equation not including the answer is what what you divide by in this case it is 5 so 91/5 is 18.2
Hope this helped!!
Which term describes 2x + 5 = 17?
A. constant
B. equation
C. inequality
D. expression
Answer:
Expression
Step-by-step explanation:
Can the function f(x) = x^2 - 4x + 4 be factored? If so write in factored form.
Answer:
(x-2)(x-2)
Step-by-step explanation:
Find two things you can multiply to equal to 4 and add to equal -4
-2*-2=4 and -2+-2=-4
If the null hypothesis is inside the confidence interval, then the decision was likely to ________ using hypothesis testing.
a) reject the null hypothesis
b) retain the null hypothesis
Answer:
B: Retain the null hypothesis
Step-by-step explanation:
In the relationship between the confidence interval and hypothesis, it is stated that:
When the confidence interval is constructed, all values that fall inside the interval are considered possible values for the parameter that we are estimating while values that fall outside the interval are rejected as they are considered not possible or realistic values.
Now, If the value of the parameter specified by the null hypothesis falls inside the given confidence interval, then we will fail to reject the null hypothesis at the corresponding significance level. However, If the value specified by the null hypothesis doesn't fall inside the given confidence interval, then the null hypothesis can be rejected at the corresponding significance level.
Mateo has already swum Four-fifths of the 2,000 meters he is swimming today. If he continues swimming at a pace of Three-fourths of a meter per second, which expression shows the amount of time it will take him to swim the remaining distance? A. 2000 times four-fifths times three-fourths B. 2000 times four-fifths divided by three-fourths C. 2000 times one-fifth times three-fourths D. 2000 times one-fifth divided by three-fourths
Answer:
D
Step-by-step explanation:
The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
Mateo has proactively swum Four-fifths of the 2,000 meters he is swimming today. On the off chance that he keeps swimming at a speed of Three-fourths of a meter each second.
3/4 = 2,000 (1 - 4/5) / T
T = [2,000 (1/5)] / (3/4)
The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.
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What is the value of x? Enter your answer in the box. x = [ ]
Since both angles are vertical angles, we need to set them equal to each other.
[tex]2(x + 10) = 3x - 30\\\\2x + 20 = 3x - 30\\\\5x + 20 = 30\\\\5x = 50\\\\x = 10[/tex]
The final answer is x = 10.
Help !!!..............
....:
Answer:
2) 0.45 3)1.67 4)8/125
Step-by-step explanation:
1000g=1kg
450g=0.45kg
1 4/6 =10/6
10/6=1.67
0.64=64/1000
64/1000=8/125
A Ferris Wheel is set up at the carnival it has a diameter of 45 feet. What is the total circumference if the ferris wheel makes 4 rotations around?
Answer:
The circumference is 565.2 feet when the ferris wheel makes 4 rotations.
Step-by-step explanation:
Given that the diameter of the wheel is 45 feet.
That is:
[tex]d = 45\ feet[/tex]
We have to find the radius first
[tex]r = \frac{d}{2} = \frac{45}{2} = 22.5\ feet[/tex]
The circumference of the circular wheel for one rotation will be:
[tex]C = 2\pi r[/tex]
And for four rotations' circumference the circumference of one rotation will be multiplied with 4.
[tex]C = 2 * 3.14 * 22.5\\C = 141.3\ feet[/tex]
Total circumference:
[tex]C_T = 4C\\= 4 * 141.3\\=565.2\ feet[/tex]
Hence,
The circumference is 565.2 feet when the ferris wheel makes 4 rotations.
Mr. Henderson's imaginary) Porsche accelerates from 20 m/s to 60 m/s in 4 seconds. Its acceleration is
Answer:
[tex]a = 10[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Velocity\ (u) = 20m/s[/tex]
[tex]Final\ Velocity\ (v) = 60m/s[/tex]
[tex]Time = 4s[/tex]
Required
Determine the acceleration
This question will be answered using the first equation of motion.
[tex]v = u + at[/tex]
Substitute values for v, u and t
[tex]60 = 20 + 4 * a[/tex]
[tex]60 = 20 + 4 a[/tex]
Subtract 20 from both sides
[tex]60 - 20= 20 -20 + 4 a[/tex]
[tex]40= 4 a[/tex]
Divide both sides by 4
[tex]10 = a[/tex]
[tex]a = 10[/tex]
Hence, the acceleration is 10m/s/s
The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm^2/min) is the surface area of the ball increasing when the radius is 9 cm?
Answer:
51
Step-by-step explanation:
Write as a decimal -3/5 show the work
What does A and B equal?? Helpppp???
Answer:
I believe that the answers are:
a= 65 degrees
b= 80 degrees
Step-by-step explanation:
Purple 80 and b should be the same so 80 degrees
180 - 80 is 100 which is A so a equals 100-35 whis is 65.
Answer:
a=65°, b=100°
Step-by-step explanation:
Hope the answers help! I got confused at first, but take a last look at line BE. Angle EAF is vertically opposite to this line. This means that angle BAF equals 80°. b=100°. a is just 180-80-35, so a=65°.
The ticker shows trades of stock in Hewlett-Packard (HPQ) ExxonMobil (XOM) and Chevron CTX).
HPQ 6K10.63 0.23 XOM 3K81.72 A 0.08 CVX 9K84.45 0.22
a How many shares of Hewlett-Packard were sold? 308172
& suoma
What was the total value of all the HP shares sola?
Joon bought the shares at this ptice, and her broker charged her 1° commission What was the total cost of her investment
Regne sold the shares of ExxonMobil shown in the above trade and his broker charged him is commission How much monered the broker recente
Rouaid to the nearestent
evold the res of Chernon indicated above through her discount brakter who charge per transactio How much more recere tome
above sale after the brokes took his fee
Question Completion:
Joon bought the shares at this price, and her broker charged her 1% commission. What was the total cost of her investment?
Regne sold the shares of ExxonMobil shown in the above trade and his broker charged him 1.5% commission How much money did the broker receive?
Lisa sold the shares of Chevron indicated above through her discount broker, who charges $28 per transaction. How much did Lisa receive from the above after the broker took his fee.
Answer:
Trades of Stock in Hewlett-Packard (HPQ) ExxonMobil (XOM) and Chevron CTX)
a. Shares of Hewlett-Packard sold = 6,000 (6K)
b. The total value of all the HP shares sold is $63,780.
c. Total cost of Joan's investment is $64,417.80.
d. Regne's broker received a commission of $3,677.40.
e. Lisa received $760,022.
Step-by-step explanation:
a) Data and Calculations:
Hewlett-Packard (HPQ) ExxonMobil (XOM) Chevron CTX)
HPQ 6K10.63 ∨0.23 XOM 3K81.72 ∧ 0.08 CVX 9K84.45 ∨0.22
b) The total value of all the HP shares sold is 6,000 * $10.63
= $63,780
c) Joan's investment:
Investment = $63,780
Broker's commission = 1% = $637.80
Total cost of Joan's investment = $64,417.80 ($63,780 + $637.80)
d) Regne Broker's Commission:
Investment = $245,160 (3,000 * $81.72)
Commission = $3,677.40 ($245,160 * 1.5%)
e) Lisa received from Chevron's stock sale:
Investment = 9,000 * $84.45 = $760,050
Broker's fee = $28
Lisa's receipt = $760,022 ($760,050 - $28)
Answer:
Step-by-step explanation:
How many shares of Hewlett-Packard were sold? 308172
Suppose a floor is going to be tiled with
square stone tiles that measure ½ foot on
each side. How many tiles are needed for a
rectangular floor that measures 14 ½ feet
long and 8 ½ feet wide?
Answer:
20 tiles
Step-by-step explanation:
NEED HELP ASAP PLEASE HELP!!!
HELP PLEASE!!!!!!
Answer:
1. 230, 219, 208, 197, 186.
2. Arithmetic, you are subtracting a constant rate, instead of an exponential rate.
3. Finite, the question says the farmer only took 10 trips, infinite would be much, much much more trips.
Step-by-step explanation:
1. The pattern is to subtract 11, so you just do this for 3 more times.
2. Geometric sequences could look something like 230-11=219. The you multiply by a random number like 2, then you subtract 219- (11x2), 219-22=197. This sequence does not do that.
3. It says in the question the farmer only does it for 10 more times.
Find the slope of a line parallel to the given line. y=4/5x+5
Answer:
y = 4/5x
Step-by-step explanation:
Her ya go!
Which of these is an example of typing at an average rate of 42 words per minute?
Answer:
28 in 2/3
Step-by-step explanation:
42/ 28 = 1.5
60/1.5= 40
40/60-4/6=2/3
28 in 2/3
A movie theater sends out a coupon for 40% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
Answer:
y = 0.6x
It's in the first quadrant because you can't buy a negative amount of tickets and you can't pay a negative amount of money.
Answer:
0.6
Step-by-step explanation:
ll give you brainliest if you give me brainliest but you have to tell me who gave me it bc then I wont know but I WILL CHECK!
Answer:
Whts a bc
Step-by-step explanation:
Answer:
lol im confusion
Step-by-step explanation: