Answer:
25 ft
Step-by-step explanation:
The height of the flagpole, using trigonometric ratio is 25feet.
The tangent of angle C will be the ratio of Maria's height to her shadow.
What is the tangent of an angle?The tangent of an angle is the ratio of opposite side to the adjacent side.
It is given that,
Her height = 4 ft 2 inch = 25/6 feet
Length of her shadow =10/3 feet
So, tan C = (25/6)/(10/3)
tan C = 5/4
We know that ∠C and ∠T will be equal
So, tan C = tan T = h/20
5/4 = h/20
h =25
Therefore, The height of the flagpole, using is 25feet.
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St. Francis Bank pays 4% interest, compounded daily, from the date of deposit to the date of withdrawal. The daily interest rate (to the nearest milionths' place)
for October 14 (92 days in the quarter) on this account is:
0.000109.
0.000112
0.000098.
Answer:
The daily interest rate on this account = 0.000109
Step-by-step explanation:
Given that,
Interest rate = 4% compounded daily
i.e
Interest is 4% per annum and it is compounded daily.
Now,
We know , 1 year = 365 days
and 1 year interest rate = 4% = [tex]\frac{4}{100}[/tex] = 0.04
So,
The daily interest rate = [tex]\frac{0.04}{365}[/tex] = 0.000109
∴ we get
The daily interest rate on this account = 0.000109
The formula for the volume of a cone is V =
3
bah
Solve V =
on for b, the base of the cone.
Answer:
oh thats easy thats 7
Step-by-step explanation:
i guess
Yesterday I went to buy some ice cream because it was on sale for $0.73. While I was there I also wanted to buy some sprinkles to put on top and they were only $0.15! What a bargain!!!! Since everything was so cheap, I also thought that I might want to buy a water bottle that was $2. When I went up to the cashier, they told me that I owed $9. EXCUSE ME?!? I said to them “I thought you all had a sale today, why am I paying $9?.”
how much you should’ve been charged
Given statement Sale Pricing Confusion solution is :- You should have been charged $2.88, not $9.
Let's break down the costs:
Ice Cream: $0.73
Sprinkles: $0.15
Water bottle: $2.00
The total cost of these three items would be:
$0.73 + $0.15 + $2.00 = $2.88
According to the prices you mentioned, you should have been charged $2.88, not $9. If the cashier told you that you owed $9, it's possible that there was an error in their calculations or that they included other items in your bill. It's best to clarify the discrepancy with the cashier and ask for an explanation or correction.
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#SPJ8
WITH STEPS PLEASEE..
Answer:
16+3y=31
3y=31-16
3y=15
y=15/3
y=5
check.
16+3×5
=16+15
=31
PLEASE HELP! IM LIKE STUCK AND I NEED HELP! YOU'LL GET 50 POINTS !!!!
Answer:
5m + 9n + 46
Step-by-step explanation:
5m +10 +9n +36
(i did that by distributing from parenthesis)
5m + 9n + 46
(i just simplified by adding 10 and 36)
An agricultural researcher is interested in estimating the mean length of the growing season in a region. Treating the last 10 years as a simple random sample, he obtains the following data, which represent the number of days of the growing season. What is the point estimate of the population mean number of days of the growing season? 151 164 146 143 167 188 190 180 170 148 The point estimate is nothing.
Answer:
The point estimate of the population mean is 164.7
Step-by-step explanation:
Given
[tex]n =10[/tex]
[tex]Data: 151\ 164\ 146\ 143\ 167\ 188\ 190\ 180\ 170\ 148[/tex]
Required
The point estimate of the mean
To do this, we simply calculate the sample mean using;
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{151 +164 +146 +143 +167 +188 +190 +180+170 +148}{10}[/tex]
[tex]\bar x =\frac{1647}{10}[/tex]
[tex]\bar x =164.7[/tex]
Pudding has 120 calories in 2 ounces. How many calories are in 8 ounces of the pudding?
Answer:
272 calories.
Step-by-step explanation:
jus solved it.
Answer:
480
Step-by-step explanation:
Work out
44.09
% of
78.76
cm
Answer:
34.72
Step-by-step explanation:
44.09/100 × 78.76
=34.72
Oil prices are projected to increase by 125% by next August. A quart of oil currently costs $1.25. What is the projected cost of a gallon of oil next August? Round your answer to the nearest hundredth.
Answer:$2.81
Step-by-step explanation:
1.25 is 100% of the price
125% + 100% = 225%
x = price by august
x = 225% (1.25)
225% = 2.25
2.25(1.25) = 2.8125 ≈ $2.81
Another way to see it:
=
225(1.25) / 100 = 2.8125
Can someone please help me out pleaseeeee !!!!!
Answer:
Step-by-step explanation:
0: -2
1: -4
2: -6
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
x=76
Step-by-step explanation:
The two marked angles are alternate angles, which means they're equal.
Answer
76%
Step-by-step explanation:
I think its defiantly not 104 because its smaller than 90% and not 41% because that's to small same with 67% so it is 76%
The Frill family and the Smith family go to the movies.
The Frill family buys 6 adult tickets and 2 child tickets for $124.
The Smith family buys 3 adult tickets and 5 child tickets for $100.
Find the prize of an adult ticket and the prize of a child ticket.
Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,
[tex]6a + 2c = 124[/tex]
as equation 1,
and
[tex]3a + 5c = 100[/tex]
as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.
[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]
This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.
[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]
Now substitute c into equation 2.
[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]
Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
(x +y )(x -y), if x = -3, y=-5
PLS NO FILES OR I AM REPORTING YOU
Answer:
-16
Step-by-step explanation:
(X + Y)
= (-3 + -5)
= -8
(X - Y)
= (-3 - -5)
= 2
Because they're still in brackets in this form:
(-8) (2)
You multiply them both and you'll get the answer:
-16
hope this helped!
someone please help me! show work if you can please!
Answer:
a. [tex]12\sqrt{3}[/tex]
b. [tex]144\sqrt{3}[/tex]
c. [tex]24+24\sqrt{3}[/tex]
Step-by-step explanation:
This rectangle is made up of two 30-60-90 right triangles, which have special properties that are worth memorizing for the future. Please see the attached picture.
Using this information, we can deduce that the top and bottom sides are equal to [tex]12\sqrt{3}[/tex].
From the properties of a rectangle we know that the right side is 12.
The diagonal is equal to [tex]12*2=24[/tex].
We can find the area by doing [tex]{12*12\sqrt{3}=144\sqrt{3}[/tex],
And the perimeter is equal to [tex]12+12+12\sqrt{3}+12\sqrt{3} =24+24\sqrt{3}[/tex]
h(a) = 3 - 2a ^ 2
h(- 3) =
Answer: -15
Step-by-step explanation:
First, calculate exponents.
-3 * -3 is 9.
Then multiply 2 and 9 which is 18.
3-18 is -15.
Plss answer this will give brainliest 5 stars and a thx
IVE BEEN ASKING FOR 2 DAYS :( OVERDUE
Answer: -10
Step-by-step explanation:
A negative number divided by a positive number is always going to be negative
Answer:
-10
Step-by-step explanation:
Because a negative number divided by a positive number is a negative number.
PLS HELP ME OUT GUYS PLS PLS PLS PLS
the 1st, 2nd, and 3rd are correct
100% of 80 is what number?
Select one:
160
80
8
100
Answer:
80
explanation:
100% means that its the whole of something so all of the said number
Answer:
In converting to percentage we multiply by 100%
100% of 80 =
80/100 x 100%
0.8 x 100 = 80
NB the 100% of any number is the number itself
please help me on this its reading
The answer is C to be informed about a new topic.
Answer:
C.
Step-by-step explanation:
C. be informed about a new topic
What expression is equivalent to
16+2*36
Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent
Researches conducted a study to determine whether magnets are effective
The scatter plot below shows the change in the demand for a pair of jeans at a store as the price changes. The sales manager uses y= -1.75x+92.13 as a line of best fit.
What is the residual value when the price of jeans is $28.00?
A)−9.37
B)−1.13
C)1.13
D)9.37
Answer:
1.13
Step-by-step explanation:
The residual value when the price of jeans is $28.00 is -15.13
How to determine the residual?The equation of the line of best fit is:
y= -1.75x+92.13
When the price of jeans is $28.00, we have:
y= -1.75*28+92.13
Evaluate
y= 43.13
The residual value is then calculated as:
Residual = Actual - Observed
This gives
Residual = 28.00 - 43.13
Evaluate the difference
Residual = -15.13
Hence, the residual value when the price of jeans is $28.00 is -15.13
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URGENT WILL GIVE BRAINLIEST
Answer:
40
Step-by-step explanation:
i am stuck on these two, please help if you can. thank you :)
Answer:
23) x= [tex]\frac{27}{8}[/tex]
24) x= [tex]8\sqrt{3}[/tex]
Step-by-step explanation:
"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"
Answer:
B
Step-by-step explanation:
Which set of ordered pairs represents a function?
A {(22, 5), (23, 10), (22, 7), (23, 5)}
B {(22, 5), (26, 10), (23, 7), (23, 5)}
C {(22, 10), (23, 10), (24, 7), (25, 5)}
D {(24, 10), (23, 6), (22, 7), (24, 5)
Answer:
D
Step-by-step explanation:
the company is it a big company with you in my neighborhood that is a lot more expensive and more expensive to
In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles.
Answer: 20.71 m
Step-by-step explanation:
Given
the length of the poles are 25m and 35 m
The length of the cable is 23 m
Suppose the distance between them is x
From the figure, apply Pythagoras theorem
[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]
Distance between Poles is 20.71 m
Please helppp why is he right or wrong!!
Answer:
We cannot agree with Andre because x = 3.
Step-by-step explanation:
Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:
x + 2 = 5
Solve for x
x + 2 - 2 = 5 - 2 (subtraction property of equality)
x = 3
If you plug in the value of x on the diagram given, the scale becomes balance on each side.
Therefore, x = 3. Andre is wrong and we cannot agree with Andre.
A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours
Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.
Therefore, 6 Hours/900 becomes our quotient
Again, since the denominator is larger we invert it to 900 calls/6 Hours
To get a demand of 150 calls per hour.
We need to be able to handle 150 calls per hour.
So how Many Call Representatives are needed?
Again, our historical data tells us that each person can handle 10 calls an hour.
Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!
Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.
What is the slope of the line through? (-4, 2) and (3, -3)?
Answer:
c. -5/7
Step-by-step explanation: