Answers
(x + 5)^2 + (x/2 + 6)^2 = (30)^2
Take it from here.
Answer:
pole height = 29 ft
Step-by-step explanation:
x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36
combine like terms:
x² = -1/4x² - 6x + 864
1 1/4x² + 6x - 864 = 0
divide both sides of the equation by 1 1/4:
x² + 4.8x - 691.2 = 0
(x - 24)(x + 28.8) = 0
x = 24 ft
pole height = 24 + 5 = 29 ft
Related Questions
Evaluate the math problem
Answers
Answer:
b. 25
Step-by-step explanation:
The square root cancels out
and you divide only 100 and 4
Answer:
5 or 25
Step-by-step explanation:
I first got the 25 but when I tried a different formula to make sure it's correct I got 5.
What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28.2 and GF is 45.8. Angle GFE is given as 90 degrees.
Answers
Answer:
31.6°
Step-by-step explanation:
The triangle given us a right angled Triangle
We solve the above question using the trigonometric function of Tangent
The formula is given as:
tan θ = opp/adj
θ = m∠G = ?
Opposite = EF is 28.2
Adjacent = GF is 45.8
tan θ = 28.2/45.8
θ = arc tan (28.2/45.8)
θ = 31.621459805°
Approximately
m∠G = 31.6°
Mike, Tania, Bill, and Rachael each took many samples from the same
population of students. The number of students in each sample is shown in
the table. Which person's sampling distribution is most likely to closely
approximate the population distribution?
Person taking samples Students in each sample
Mike
79
Tania
23
Bill
37
Rachael
51
A. Tania
B. Mike
C. Bill
D. Rachael
Answers
Answer: Mike!
Step-by-step explanation:
pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).
Answers
Step-by-step explanation:
The model that illustrates the relationship is 4x=10.404x=10.40
The cost of each ice cream was x=\$2.60x=$2.60
Step-by-step explanation:
Let
x----> the cost of one ice cream
we know that
The linear equation that represent this situation is
4x=10.404x=10.40
solve for x
Divide by 4 both sides
x=10.40/4x=10.40/4
x=\$2.60x=$2.60
Answer:
First answer is y = 2.6 (or answer two)
Second answer is Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)
Third answer is
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)
Step-by-step explanation:
Correct on edge 2021
and i did the calculations
I hope this helped have a great day!
A sector has a radius of 12 centimeters and an angle of 65 degrees. Find it's arc length.
A. 18.2 cm
B. 13.6 cm
C. 12.6 cm
D. 14.6 cm
Answers
Because the formula for arc length is: 2pi (r) * angle/360
So if we input our values in the formula we have:
2pi (12) * 65/360
Just input this into your calculator and you get the answer as 13.6 (1.DP)
Hope this helped
The arc length will be option B. 13.6 cm.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
If radius of the circle is of r units, then
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
The superscript 'c' shows the angle measured in radians.
Given; A sector has a radius of 12 centimeters and an angle of 65 degrees.
So we input our values in the formula:
2π (12) x 65/360
= 24π x 65/360
= 13.6
Hence, the arc length will be option B. 13.6 cm.
Learn more about angle, arc length relation here:
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Slope intercept from 2x+2y=10
Answers
y=x-5
Thatll be one brainliest
Find the volume. Round to the tenth place if appropriate. *
7 cm
20 cm
Answers
A scale model of an object has a scale of 1cm : 2ft. The actual object is 11 feet tall. How tall is the model?
Answers
Given:
The scale model of an object has a scale of 1cm : 2ft.
The actual object is 11 feet tall.
To find:
The height of the model.
Solution:
It is given that the scale model of an object has a scale of 1cm : 2ft and the actual object is 11 feet tall.
Let the height of the model be x cm.
[tex]\dfrac{x\ cm}{11\ ft}=\dfrac{1\ cm}{2 \ ft}[/tex]
[tex]x\ cm=\dfrac{1 \ cm\times 11\ ft}{2 \ ft}[/tex]
[tex]x\ cm=5.5\ cm[/tex]
Therefore, the model is 5.5 cm tall.
Fill in the blanks to complete the sentences below. (a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches ______. (b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than ______ standard errors from the population proportion. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.)
Answers
Answer:
a) the proportion of 95% confidence intervals that include the population proportion approaches 0.95
b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Step-by-step explanation:
a)
Given the the data in the question, confidence level is 95%.
In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.
b)
Given the the data in the question, confidence level is 95% and sample proportion
we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.
The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.
hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion
hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Using confidence interval concepts, it is found that:
a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.
b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.
Item a:
For a x% confidence interval, approximately x% of confidence intervals will include the population proportion, and this percentage approaches x as the number of intervals increase, hence, the correct sentence is:
As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.
Item b:
By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, hence, the correct sentence is:
If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.
A similar problem is given at https://brainly.com/question/23536238
3. A box containing 90 oz. of cereal cost $4.50. What is the price per ounce
Answers
Answer: 0.05$ per ounce
Step-by-step explanation:
Answer:0.05 per oz.
Step-by-step explanation: divide 4.50 by the oz
Helpppsppspspspspsp plssss
Answers
Answer: About 804.25
Step-by-step explanation:
Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups
Answers
Answer:
l''kkk 1/2 cups
Step-by-step explanation:
To make 45 muffins the amount of flour required will be 6.25.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.
The amount of flour required will be calculated as:-
2 (1/2) flour ⇒ 18 muffins
2.5 flour ⇒ 18 muffins
2.5 x 2.5 flour ⇒ 2.5 x 18 muffins
6.25 flours ⇒ 45 muffins
Therefore, to make 45 muffins the amount of flour required will be 6.25.
To know more about an expression follow
https://brainly.com/question/23857649
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Pls help !! Pls no links :)
Answers
Answer:
A 5 <= A <= 40
Step-by-step explanation:
down point is (5, 50)
up point (40, 350)
so 5 <= A <= 40
HELP PLS DUE NOW BRAINLIEST AND A THANKS
Answers
Answer:
D
Step-by-step explanation:
The researcher did no prediction or any (possible)
Hope this helps :)
Determine the period of the function y = Negative 2 sine (StartFraction pi Over 2 EndFraction) x.
a.
2
c.
-2
b.
3.14
d.
4
Answers
Answer: D. 4
Step-by-step explanation:
Describe the relationship between the area of a circle and its circumstances
Answers
Answer:
[tex]A = \frac{r}{2}C[/tex]
Step-by-step explanation:
Given
Shape: Circle
Required
The area and the circumference (relationship)
This implies that, we write an expression that relates the area and the circumference.
Circumference is calculated as:
[tex]C = 2\pi r[/tex]
Area is calculated as:
[tex]A = \pi r^2[/tex]
The area can be rewritten as:
[tex]A = \frac{2\pi r^2}{2}[/tex]
Further rewrite as:
[tex]A = \frac{r}{2}*2\pi r[/tex]
Recall that:[tex]C = 2\pi r[/tex]
So, the expression becomes
[tex]A = \frac{r}{2}*C[/tex]
[tex]A = \frac{r}{2}C[/tex]
What Happens to the value of the expression 100 minus X as X increases
Answers
Step-by-step explanation:
if f (x) = 100 - x;
as x increases, the value of f(x) will decrease
Answer:
100 decreases
Step-by-step explanation:
Use the graph to write a linear function that relates y to x
y=
Answers
6. An electrician needs to repair a lamp on a wall whose height is 55 m. The lamp
is 11 m below the top most point. She uses a ladder to reach the lamp as shown
in the figure below. If the ladder is inclined at 60 degrees to the ground, what is the length of the
ladder?
Answers
Answer:
first one is correct
Step-by-step explanation:
Find each measurement indicated. Round your answers to the nearest tenth.
Answers
Answer:
52.08°
Step-by-step explanation:
Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]
93*14=25x
1302=25x
52.08=x
Can someone explain how they got the answer please
Answers
Answer:
The answer is B-452.4
Step-by-step explanation:
The formula for volume of a cylinder is V= πr^2h
so you would do 3.14 times 6 squared times 4
6 squared is 36 times 4 equals 144. Then you multiply that by pi, or 3.14 and you get 452.16 round to the nearest tenth and get 452.2
Hope this helps!
What is the constant rate of change shown in the table?
2
4
6
8
Answers
(The y intercept is 20 so subtract 20 from the y and divide by 2 to get your x)
Answer:
2
Step-by-step explanation:
Since with every 10 seconds, the distance increase by 20 meters
hence, 20/10 = 2
Which statement best explains the importance of examining multiple perspectives about an event?
It reinforces a specific opinion about the event.
It determines which accounts are biased about the event.
It provides different and sometimes opposing viewpoints about an event.
It requires the use of both primary and secondary sources to learn about the event.
Answers
Answer:
It provides different and sometimes opposing viewpoints about an event.
Jack bought 3 slices of cheese pizza and 4 slices of
mushroom pizza for a total cost of $12.50. Grace
bought 3 slices of cheese pizza and 2 slices of
mushroom pizza for a total cost of $8.50.
a. What is the cost of one slice of cheese pizza and
one slice of mushroom pizza?
b. Jordyn met Jack and Grace for pizza. She bought 5
cheese slices and 2 mushroom pizzas. How much did
she spend?
Answers
B)each slice still costs 1.70 1.70x7=11.90
If AABC ~ AEDC, find the value of x.
a. 32
5.8
C. 40
d. 15
Answers
Answer:
x = 15
Step-by-step explanation:
If ABC similar to EDC then we can use the similarity ratio to find the value of x
32/(3x-5) = 56/(5x-5) cross multiply the fractions
160x - 160 = 168x - 280 export like terms to the same side of the equation
280 - 160 = 168x - 160x
120 = 8x divide both sides by 8
15 = x
Which describes money that is received from a sale of goods or services?
O A. Benefit
O B. Cost
C. Revenue
O
D. Asset
SUBMIT
Answers
What type of slope is this table?
Answers
Answer:
It is a negative slope :)
what is 2.7 kg in g. i need a simple answer
Answers
The diameter of a circle on
a coordinate plane has endpoints at (2,3) and (2,8) what is the approximate area of the circle
A. 16 units squared
B. 20 units squared
C. 25 units squared
D. 79 units squared
Answers
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value ofr.
Answers
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh[/tex]
Put all the values,
[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]
So, the value of r is equal to 7.33 units.