Answer:
65 m
Step-by-step explanation:
The length of the mast, 60 m, is a leg of a right triangle.
The distance the wire is from the foot of the mast is the other leg.
The length of the wire is the hypotenuse of the right triangle.
We can use the Pythagorean theorem to find the length of the wire.
a² + b² = c²
60² + 25² = c²
3600 + 625 = c²
c² = 4225
c = 65
Answer: 65 m
Work out m and c for the line: 2 x + 3 y + 4 = 0
Answer:
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jimrgrant1
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Answer:
m = - , c = -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )
3y = - 2x - 4 ( divide all terms by 3 )
y = - x - ← in slope- intercept form
with slope m = - and y- intercept c = -
A two-sample t test of the hypothesis H0: mu1 - mu2 = 0 versus HA: mu1 - mu2 > 0 produces a p-value of 0.03. Which of the following must be true? I. A 90 percent confidence interval for the difference in means will contain the value 0. II. A 95 percent confidence interval for the difference in means will contain the value 0. III. A 99 percent confidence interval for the difference in means will contain the value 0.
Considering the p-value of of the test, it is found that the correct option is:
III. A 99 percent confidence interval for the difference in means will contain the value 0.
What is the p-value and the confidence interval?If the p-value is less than the [tex]\alpha[/tex] level, given by 1 subtracted by the confidence level, it does not contain the value tested at the null hypothesis.If it is more, it contains the value tested at the null hypothesis.In this problem, we have that the p-value is of 0.03, hence the confidence interval will contain the value of 0, tested at the null hypothesis, for confidence levels above 97%, hence option III is correct.
More can be learned about p-values at https://brainly.com/question/13873630
Anyone know this answer too??
Answer:
[tex]x = -21[/tex]
Step-by-step explanation:
[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]
How can 8.34… be written in the form a/b where a and b are integers?
The decimal value 8.34 written as a ratio of a/b is 417/50
Conversion of decimal to fractionFractions are values written as a ratio of two integers
Given the decimal value 8.34, we are to convert it to a decimal value as shown:
8.34 = 834/100
Write in a simplified form834/100 = 417/50
Hence the decimal value 8.34 written as a ratio of a/b is 417/50
Learn more on fractions here: https://brainly.com/question/78672
Elissa needs 8.5 inches of thread to make a friendship bracelet. What is the maximum number of bracelets she can make with 40 inches of thread?
Answer:
4
Step-by-step explanation:
Elissa uses 8.5 inches of thread per bracelet.
She has 40 inches of thread.
To find the maximum number of bracelets she can make, we need to divide.
40 / 8.5 = 4.70588...
We cannot have an unfinished bracelet, so we have to round down.
She can make 4 bracelets with 40 inches of thread.
Answer:
4 bracelets
Step-by-step explanation:
if 8.5 inches makes 1 friendship bracelet
what about 40inches
8.5inches=1 bracelet
40 inches=?
cross mulltiply
40x1
-------
8.5
=4 12/17 bracelets
12/17 of a bracelet is not a complete one
=4 complete friendship bracelets
aaaaaand 4 happy friends
solve for the x in the triangle .
If you were writing a two-column proof proving that ANQP APON, which of the following statements would have
"reflexive property of congruence" as its reason?
A. ON ON
B. OP=OP
C. OP=OP
D. NP NP
Answer:
NP NP
Step-by-step explanation:
this is the only solution that works for the question
Karen's mom is filling 12 birthday hats with candy for her birthday party. Each hat is shaped like a cone with a height of 6 inches and a radius of 3 inches.
Which statements are true? Choose all that are correct.
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a cone is given by:
volume = (1/3) * π * radius² * height
The cone that has a height of 6 inches and a radius of 3 inches. Hence:
Volume = (1/3) * π * 3² * 6 = 56.55 in³
For 12 hats:
Volume = 12 * 56.55 in³ = 678.58 in³
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
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solve pls brainliest
The population of Atlanta Georgia in the year 2000 was 417,000 people. If the population increases at a rate of 1.2% each year, find the approximate population of Atlanta in
2020.
Step-by-step explanation:
geometric sequence :
a0 = 417,000
a1 = a0 × 1.012 (that is adding 1.2% for 2001)
a2 = a1 × 1.012 = a0 × 1.012²
an = a0 × 1.012^n
a20 (for the year 2020 after starting in 2000) =
= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...
if we need to round that to a full number, we get
≈ 529,534
our round it to full thousands
≈ 530,000
i don't know what result format you need. please pick the required one.
Abigail had a fish tank that was in the shape of a box. The dimensions were 12 inches deep by 24 inches wide by 18 inches tall. How many cubic inches of water will it take to completely fill the tank?
Show your work
Chin-Mae has a fishtank that measures 75 cm by 45 cm by 35 cm. He also has a jug that holds 1.75 litres. He uses the jug to fill the fishtank with water. How many full jugs of water does it take to fill the fishtank? Show how to check your answer.
To find the volume of a rectangular prism, we can use the following formula:
[tex]V=lwh[/tex]
l = lengthw = widthh = heightConverting between mL and L1000 mL = 1 L
Solving the QuestionWe're given:
Fish tank measurements: 75 cm by 45 cm by 35 cmJug capacity = 1.75 LTo solve this question, we could follow these steps:
Find the volume of the tankDivide the volume of the tank by the jug capacityFind the volume of the tank
[tex]V=lwh[/tex]
⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
[tex]V=75*45*35\\V=118125[/tex]
Divide the volume of the tank by the capacity of the jug
There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:
1.75 × 1000
= 1750
118125 ÷ 1750
= 67.5
AnswerIt takes 68 full jugs of water to fill the tank.
At a clover city council meeting, a plan to fund more sign language programs was presented. the reasoning behind the request was that less than 25% of parents with hearing-impaired children have the ability to pass a sign-language exam. if this is true, the council will agree to fund more programs for these parents. the council decides to take a 175-person volunteer sample of parents in clover city that have children with auditory issues and conduct a significance test for h0: p = 0.25 and ha: p < 0.25, where p is the proportion of these parents that can pass the sign language exam. they will perform the significance test at a significance level of ? = 0.05 for the hypotheses.
part a: describe a type ii error that could occur. what impact could this error have on the situation?
part b: out of the 175 volunteer parents of children with hearing problems, 54 passed, resulting in a p-value of 0.96. what can you conclude from this p-value given the data of the 175 parents is sufficient to perform a significance test for the hypotheses?
part c: what possible defect in the study can you find in part b? explain
The type II error is the probability of accepting the null hypothesis when it's false.
How to explain the probability?a. From the information, the proportion of parents who passes the sign language test is not less than 25%.
b. Since the p value is greater than 0.05, the null hypothesis is rejected. Therefore, the proportion of parents who passes the sign language test is not less than 25%.
c. The possible defect in the study is that the parents if the children with hearing problem should be selected randomly.
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The diagram shown is two intersecting lines. The measure of 5 is 47°.
a. Using the vertical angles theorem, m∠7 = 47°.
b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.
c. x = 69
What is a Linear Pair?A linear pair is two angles whose sum equals 180°.
Given the image, where:
m∠5 = 47°
a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:
m∠7 = m∠5 = 47°
m∠7 = 47°
b. m∠6 = (2x - 5)°
m∠6 + m∠5 = 180° (linear pair)
Substitute
2x - 5 + 47 = 180 (equation that can be used to solve x)
c. 2x - 5 + 47 = 180
2x + 42 = 180
2x = 180 - 42
2x = 138
x = 138/2
x = 69
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The cost of 3 scarves is $26.25. What is the unit price?
Answer : $8.75
Answer:
$8.75
8.75x3=26.25
Step-by-step explanation:
Answer:
$8.75
Step-by-step explanation:
To find out the unit price, take the whole and divide it by the number of units. In this case the whole cost is $26.25. There are 3 scarves in a whole. Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75. Knowing how to figure out a unit price for something is very useful. For example, if you wanted to buy some Pepsi but didn't know if the 24-pack, 12-pack or 36-pack was a better deal, you can find out the unit price to see which is cheaper. For example, if the 24-pack of Pepsi cost $5, the unit price per can would be .21. A 12-pack at$ 2.75 would be .22 per can. A 36-pack at $6.50 is .18 per can. This tells you that you'd save more money per can if you bought the 36-pack of Pepsi.
4) Luther works at One Stop Smoothie Shop. At work today, he made 20 Berry Blast
smoothies. In each Berry Blast smoothie, there are 3 strawberries and b blueberries. Write
two expressions that represent the total number of berries in the Berry Blast smoothies that
Luther made today.
The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20
How to write system of equationsLet the number of strawberries be x
Let the number of b berries be y
If at work today, he made 20 Berry Blast smoothies, then;
x + y = 20
SInce x = 3 and y = b, then;
3 + b = 20
The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20
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6
x
+
8
<
3
x
+
4
give your answer as an improper fraction in its simplest
6x + 8 < 3x + 4
6x - 3x < 4 - 8
3x < -4
x < - 4/3
Answer:
-4/3
Step-by-step explanation:
The diagnols of a rhombus are 21 and 16 centimeters long find the area of the rhombus
Answer:
168 cm²
Step-by-step explanation:
The area of a quadrilateral with diagonals that intersect at right angles is half the product of the lengths of the diagonals. A rhombus is one such quadrilateral, so the area of this one is ...
A = 1/2(d1)(d2)
A = (1/2)(21 cm)(16 cm) = 168 cm²
The area of the rhombus is 168 cm².
Lee says 20% is more than 70% of 70% of 20. Is lee correct?
Answer:
yes
Step-by-step explanation:
75/100×75/100=49/100
49/100×20=8.58.5 % Is more than 20%
I need help!!!!
The square below has the given side lengths. x is positive
Answer:
Value of X: X=2
Length of One Side: 31
Area: 961u^2
Perimeter: perimeter = 124
Step-by-step explanation:
Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.
Answer:
See below, please
Step-by-step explanation:
This square
[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]
[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex](x + 10) \times (x - 2) = 0[/tex]
Hence,
[tex]x1 = 2[/tex]
[tex]x2 = - 10[/tex]
Because x is positive, So,
[tex]x = 2[/tex]
Then we know
The length of one of the sides
[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]
The area of the square
[tex] = {31}^{2} = 961[/tex]
The perimeter of the square
[tex] = 31 \times 4 = 124[/tex]
Two sides of an isosceles triangle have lengths 12 and 18. What
is the greatest possible value of the perimeter of the triangle?
Please help me.
The greatest possible value of the perimeter of the triangle is 48
What is the perimeter of a triangle?The perimeter of a triangle is the sum of the lengths of the three sides of the triangle.
An isosceles triangle has 2 equal sides and the length of the 2 sides must be greater than the length of one.
Perimeter A= 12×2+18=42
Perimeter B= 12+18×2=48
Therefore the greatest possible perimeter of the triangle is Perimeter B (48) since the sum of lengths of the two equal sides(18) is greater than the third side (12) and 48 is greater than 42.
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I need the assistance of smarter beings than I..... I'm so lost.....
Answer:
[tex]\sf \bold{ 1 * (-3)^{n-1}}[/tex]
Explanation:
first term, a₁ = 1
difference between the terms: -3
used geometric formula : [tex]\bold{\sf a_1 * (r)^{n-1}}[/tex]where "a₁ is first term" and "r refers to common difference"
formula for this nth term: [tex]\sf \bold{ 1 * (-3)^{n-1}}[/tex]please help if you are good at maths
on the image.
Answer:
x=74
Step-by-step explanation:
if angle ABE = 148. then, angle EBC = 32
and for angle ECB an BEC,
180-32 = 148
148/2 = 74
so, angle ECB and angle BEC = 74
we know, angle BCE and angle CEF are equal because they are alternate angles
so, x = 74
Can you help me solve a question?
Answer:
Yeah sure
Step-by-step explanation:
Answer:
Yes what is it?
Step-by-step explanation:
!ask a question
Evaluate the expression when x = 3.
x² + 6x - 3
Answer:
X=3
[tex] {3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24[/tex]
per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13
Answer:
5 11/13km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
Please help with an explanation of how you found the answer because I am really confused. I will mark brainliest for best answer!
Answer:
The answer is A
Step-by-step explanation:
The minimum is 52 and the maximum is 65 therefore B and C are false.
Data set total number is 13 D medium is 56
so A is the correct answer
Suppose that the objective function coefficient for product C increases by $8. What impact will this have on the current values of the optimal solution
When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.
What is an objective function?An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.
In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.
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The function f(x) equals the number of feet above sea level a rock climber is at x
minutes. After 45 minutes the climber reaches his maximum height of 800ft. above
sea level. He stays on the mountain for 2 hours.
What is the practical domain of f(x)?
For the function f(x), the practical domain will be [0 min, 165 min]
What is the practical domain?
We define the practical domain as the section of the domain that has practical meaning.
In this case, the part of the domain that we care about is only when the rock climber is on the mountain.
In this case, we assume that the climb starts at x = 0 minutes.After 45 minutes, the climber reaches the top, at x = 45 minutes.And the climber stays on the mountain for 2 hours more, until x = 120 min + 45 min = 165 minutes.After that, the function does not work anymore, then the practical domain will be [0 min, 165 min]
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Write x=2 in slope intercept form
When x=a the slope is undefined . And when y is b the slope is zero