The diagram below shows a 20-foot ladder leaning against a wall. The bottom of the ladder is 10 feet from the
base of the wall.
20 ft.
Wall
2-
101. -
Based on the dimensions in the diagram, what is the value of x?
Answers
The value of ∠x is 30⁰. Option B is correct.
How to determine the ratio value of ∠x in the figure.
From the given figure,
The triangle formed by ladder is right angled triangle
∠x⁰ is opposite to the horizontal distance between the foot of the and the point where the ladder touches the ground.
The ladder form the hypotenuse of the triangle.
Therefore,
sinθ = opposite/hypotenuse
θ is the angle opposite to distance between the wall foot and the ladder.
θ = x⁰
opposite = 10 ft
hypotenuse = 20 ft
so,
Sin(x) = 10/20
sin(x) = 1/2
find the sine inverse of (0.5)
x = sin⁻¹(0.5)
x = 30⁰
The value of ∠x is 30⁰. Option B is correct.
Related Questions
The volume of the cone is 50π ft³. The height is 6 ft. What is the radius of the cone?
Answers
Answer:
r = 5 feet
Step-by-step explanation:
see attached for reference
recall that volume of a circular cone is given by
V = (1/3) πr²h, where
V = volume = given as 50π ft³
r = radius (we are asked to find this)
h = height of cone = given as 6 feet
Substituting the above known values into the equation:
V = (1/3) πr²h
50π = (1/3) π (r²)(6)
50π = π (r²)(2) (divide both sides by 2)
25π = π r² (divide both sides by π)
25 = r²
r = ±√25
r = ±5 (since radius cannot be negative, we select the positive value
r = 5 feet
I need help with this someone help me out :)
Answers
Answer:
18
Step-by-step explanation:
Which of the following measurements is equal to 3 kilograms select all that apply
Answers
Answer:
C and D
Step-by-step explanation:
Answer:
C and D
Step-by-step explanation: i searched it up...
A woman invests $5900 in an account that pays 6% interest per year, compounded continuously,
(a) What is the amount after 2 years? (Round your answer to the nearest cent.)
$
(b) How long will it take for the amount to be $10,000? (Round your answer to two decimal places.)
Xyr
Answers
b) About 1.63 years
To determine the annual interest amount, you take the initial amount ($5,900) and multiply it by the interest rate in decimal form (0.06).
5,900 x 0.06 = 354
Now, 354 is the ANNUAL rate, but we need to double it because the question specifies 2 years.
354 x 2 = 708
Now we have the interest amount for the 2 years, but we cannot forget to add in the initial amount as well.
708 + 5,900 = 6,608
For part b, we have to create an equation for the rate of growth the money experiences and set it equal to the specified amount of 10,000.
The equation would be as follows: 10,000 = 5,900x + 354
Solving the equation would work like this:
10,000 = 5,900x + 354
-354 -354
9,646 = 5,900x
/5,900 /5,900
1.634915... = x
Round the answer to get 1.63.
To calculate the amount after 2 years, use the formula for continuous compound interest. To find how long it will take for the amount to be $10,000, rearrange the formula and solve for t.
Explanation:To calculate the amount after 2 years, we can use the formula for continuous compound interest: A = P * e^(rt), where A is the amount, P is the principal, e is Euler's number approximately equal to 2.71828, r is the interest rate, and t is the time in years.
Using the given values, we have A = 5900 * e^(0.06 * 2).
Using a calculator, we can find that A is approximately $6488.85.
To find how long it will take for the amount to be $10,000, we can rearrange the formula and solve for t. In this case, we have 10000 = 5900 * e^(0.06t).
Dividing both sides by 5900 and taking the natural logarithm of both sides, we get ln(10000/5900) = 0.06t.
Using a calculator, we find that t is approximately 3.41 years.
Learn more about continuous compound interest here:https://brainly.com/question/32594953
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If a = 7 and b = 3 evaluate the following expression :
3a - 2b
( if you help with more I’ll mark you as brainliest)
Answers
Answer: There is 15
Step-by-step explanation: 3a-2b
21-6=15
Would someone help me with this question please?
Answers
Answer:
49
Step-by-step explanation:
Root is the opposite of a power of 2.
Find 7 to the power of 2 to find the number inside:
7^2 = 7 * 7 = 49
49 is your answer, or B)
~
Answer:
49
Step-by-step explanation:
help again these are confusing to me ill mark you brainliest if correct
Answers
Answer:
Step-by-step explanation:
Volume = πr²h
= 3.14 * 5 * 5 * 10
= 785 in³
An isosceles trapezoid has base angles equal to 45º and bases of lengths 6 and 12. Find the area of the trapezoid.
27 sq. units
2712 sq. units
2743 sq. units
Answers
how to find the designated sum in arithmetic series
Answers
Final answer:
To find the designated sum in an arithmetic series, use the formula (n/2)(a_1 + a_n), where n represents the number of terms, a_1 is the first term, and a_n is the last term.
Explanation:
How to Find the Designated Sum in Arithmetic Series
An arithmetic series is a sequence of numbers in which the difference between consecutive terms is constant. To find the designated sum in an arithmetic series, you can use the formula:
S_n = (n/2)(a_1 + a_n)
Identify the first term (a_1), the number of terms (n), and the common difference (d) of the arithmetic series.
Use the formula a_n = a_1 + (n-1)d to find the value of the last term in the series (a_n).
Substitute the values of a_1, a_n, and n into the formula S_n = (n/2)(a_1 + a_n) to calculate the designated sum of the arithmetic series.
Write the equation of a line that passes through the point (-2, 1) and has a slope of 4.
Answers
Answer:
y=4x-3
Step-by-step explanation:
y=(slope)x+b
y=4x+b
Insert Point:
[tex]1=4(1)+b[/tex]
[tex]b=-3[/tex]
The expression 60 ⋅ 1. 2 t 60⋅1.2 t 60, dot, 1, point, 2, start superscript, t, end superscript models the number of nano-related patents granted in the US as a function of years since 1991 19911991. What does 60 6060 represent in this expression? Choose 1 answer: Choose 1 answer: (Choice A) A The first nano-related patents were granted 60 6060 years before 1991 19911991. (Choice B) B There were 60 6060 nano-related patents granted in 1991 19911991. (Choice C) C The number of nano-related patents granted is multiplied by 60 6060 each year. Show Calculator
Answers
Answer:72t
Step-by-step explanation:
Answer:
There were 60 nano-related patents granted in 1991
Step-by-step explanation:
The 60 represents these patents
An equilateral triangle has a base of 44 meters and a height of h meters. Inside that triangle is constructed a second equilateral triangle of base 22 meters and a height
of 0.5h meters. Inside the second triangle is constructed a third equilateral triangle of base 11 meters and a height of 0.25h meters.
What percent of the area of the largest triangle is the area of the smallest triangle?
% of the area of the largest triangle.
The area of the smallest triangle is
(Type an integer or a decimal)
Answers
Answer:
6.25 % of area of Large triangle = area of smallest triangle
Step-by-step explanation:
Area of large triangle L = (1/2)*base*height
L = (1/2)*(44 m)* h
L = 22*h square m.
2nd equilateral triangle area: S =(1/2)*(22 m)*(0.5h)
S = 5.5*h sq. m.
3rd smallest equilateral triangle area : T = (1/2)*(11 m)*(0.25h)
T = 1.375*h sq. m
-----
Find percent P where T = P* L, 1.375*h = P * 22*h
P = 6.25% = 0.0625
|BRAINLIEST|
Rami mixed salt with pepper to make 1/8 pound of a seasoning mixture. Rami then put an equal amount of this seasoning mixture into each of 4 bowls. All of Rami's seasoning mixture went into the bowls.
How much seasoning was in each bowl?
A) 1/128 lb
B) 1/64 lb
C) 1/32 lb
D) 1/8 lb
Answers
Answer:
the correct answer is C 1/32 Ib
Step-by-step explanation:
hope it helps
Answer:
C, 1/32
Step-by-step explanation:
I didn't copy I just did the math .-.
there are 165 different plants in the school garden.of these ,132 will flower in spring.what percent of the plants will flower in spring
Answers
Answer:
80%
Step-by-step explanation:
132÷165=0.8
0.8×100=80%
80% of the plants in the school garden will flower in spring. The correct answer is [tex]$\boxed{80\%}$[/tex].
To find the percentage of plants that will flower in spring, we use the formula for percentage, which is:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of plants flowering in spring}}{\text{Total number of plants}} \right) \times 100\% \][/tex]
Given that there are 165 different plants in total and 132 of these will flower in spring, we can substitute these values into the formula:
[tex]\[ \text{Percentage} = \left( \frac{132}{165} \right) \times 100\% \][/tex]
Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 33:
[tex]\[ \text{Percentage} = \left( \frac{132 \div 33}{165 \div 33} \right) \times 100\% \] \[ \text{Percentage} = \left( \frac{4}{5} \right) \times 100\% \] \[ \text{Percentage} = 0.8 \times 100\% \] \[ \text{Percentage} = 80\% \][/tex]
Are they correlation or causation? Pls answer 4 of them.
Answers
Answer:
1. correlation
2. causation
3. causation
4. correlation
5. correlation (depends on the price of the car sold)
6. correlation
7. correlation (it technically is, but your teacher may be looking for causation)
8. correlation
Step-by-step explanation:
Correlation indicates how variables fluctuate together, but causation is a cause-and-effect relationship between variables. Real-world examples often illustrate how a third variable can account for a correlation, emphasizing that correlation does not imply causation.
Explanation:The terms correlation and causation are often used in research to describe relationships between variables. Correlation refers to a statistical measure that indicates the extent to which two or more variables fluctuate together. A positive correlation means that as one variable increases, the other tends to increase as well, and vice versa. Meanwhile, causation, or causality, implies that one event is the result of the occurrence of the other event; there is a cause-and-effect relationship. For causation to be established, certain conditions must be met: the cause must precede the effect in time, the relationship must be plausible, and there must be evidence that the relationship is nonspurious, meaning it is not due to some third, confounding variable.
Real-world examples often show that discerning causation from correlation can be tricky. For instance, higher ice cream sales are correlated with increased drowning deaths, but the common cause is the hot summer season, rather than ice cream sales directly causing drowning. Similarly, the presence of more firefighters at a fire correlates with more fire damage, but the actual cause is that larger fires require more firefighters and inherently cause more damage. In both instances, a third variable explains the correlation without a causal relationship between the primary two variables discussed.
To summarize, while correlation and causation both deal with relationships between variables, they are not the same. Correlation does not imply causation, and careful consideration must be given to establish a true cause-and-effect relationship, ensuring that logical time ordering, mechanism, and nonspuriousness are effectively demonstrated.
A survey asked people which kind of pet they owned. The results are shown in the table below. Of the women who
were surveyed, what is the relative frequency that owned cats?
Male Female Total
Own cat
26
35
61
Own dog
75
60
135
Own other
60
45
105
Own no pet 122
112
234
Total
283 252
535
0.065
0.114
0.139
0.574
Answers
Answer: 0.139
Step-by-step explanation:
From the given table, the total number of females = 252. The number of females that owned cats = 35. Therefore , the relative frequency of women that owned cats is given by -
Number of females that own cats/ Number of females
= 35/252 = 0.138888888889 = 0.139
Therefore, the relative frequency of women that owned cats is 0.139.
Answer: 0.139
Step-by-step explanation:
From the given table, the total number of females = 252. The number of females that owned cats = 35. Therefore , the relative frequency of women that owned cats is given by -
Number of females that own cats/ Number of females
= 35/252 = 0.138888888889 = 0.139
Therefore, the relative frequency of women that owned cats is 0.139.
Which rule describes the composition of
transformations that maps triangle DEF to triangle D"E"F"?
Answers
Answer: T-50 R0,90(x,y)
How many solutions are there to the equation below?
| x |= 23
A. 1
B. O
C. 2
D. 23
Answers
find the inner product for (7,2) × (0,-2) and state wheter the vectors are perpendicular
Answers
Answer:
a. -4
Step-by-step explanation:
a•b = (x1 × x2) + (y1 × y2)
= (7 × 0) + (2 × -2)
= 0 - 4
= -4
Answer:
Step-by-step explanation:
let a=7i+2j
and b=-2j
a.b=(7i+2j).(0i-2j)
=0i-4j
≠0
they are not perpendicular.
An Investor who owns stocks in many different companies would mos
O capital gain
bear market
o dividend growth
O bull market
Answers
Answer:
bull-market
Step-by-step explanation:
Which equation can be rewritten as x + 4 = x2? Assume x greater-than 0 StartRoot x EndRoot + 2 = x StartRoot x + 2 EndRoot = x StartRoot x + 4 EndRoot = x StartRoot x squared + 16 EndRoot = x
Answers
We have been given an equation [tex]x+4=x^2[/tex]. We are also told that x is greater than 0. We are asked to choose the equation that can be written as our given equation.
Since x is greater than, so we will take positive root on both sides of our given equation as:
[tex]\sqrt{x+4}=\sqrt{x^2}[/tex]
[tex]\sqrt{x+4}=x[/tex]
Upon looking at our given choices, we can see that option C is same as our answer.
Therefore, option C is the correct choice.
Answer: sqrt x +4=^2
Step-by-step explanation:
C in Ed
A florist has 72 red roses and 40 white roses. If the florist creates the greatest number of identical bouquets possible with a combination of red and white roses without any roses leftover, how many white roses are in each bouquet? A) 3 B) 5 C) 7 D) 8 E) 9
Answers
Answer:
B
Step-by-step explanation:
A sphere has a radius of 7 millimeters. A second sphere has a radius of 4 millimeters. What is the difference of the volumes of the spheres?
Answers
Answer:
Step-by-step explanation:
volume V1=4/3 π(r1)³=4/3 π×7³
V2=4/3 π(r2)³=4/3 π×4³
V1-V2=4/3 π(7³-4³)=4/3π(343-64)
=4/3×π×279
=4π×93
=372π mm³
write an equivalent expression for each of the following
Answers
2) 2x + 4
3) 5y + 11
hope this helps!
Lin ran 29 meters in 10 seconds she ran at a constant speed at this rate how far did she run in 1 minitute
Answers
Answer:
IF 29:10 THEN for every 10 sec they run 29 meters will be added SO 29*60=
1740
Step-by-step explanation:
sorry if i am wrong
Which statement is best supported by the table?
Brian's and Kelsey's cars traveled at the same rate.
Kelsey's and Geoff's cars traveled at the same rate. Brian's and Geoff's cars started the same distance from the sensor.
Kelsey's and Geoff's cars started the same distance from the sensor.
Answers
Answer:
Option C is the correct answer
Step-by-step explanation:
Brian’s and Geoff’s cars started the same distance from the sensor.
From the given data we get,
time 1s 3s 5s 8s
Brian 34 38 42 48
Kelsey 27 31 35 41
Geoff 27 33 39 48
From the above table we can conclude that Brian’s and Geoff’s cars started the same distance from the sensor.
So the answer is option C
7(-5-6j) distributive property
Answers
Answer:
-35-42j
Step-by-step explanation:
My number rounded to the nearest tenth is 6.4. What might my number be? Justify your answer
Answers
Which is the definition of hyperbola?
A)it is a locus of points that is equidistant from a fixed point called center.
B)It is a locus of points such that the sum of its distance from two fixed points (foci) is constant.
C)It is a locus of points such that its distance from focus plus its distance from a directrix is constant.
D)It is a locus of points such that the difference of each point's distances from two fixed points is constant.
Answers
I believe that the answer is (A)
It is a locus of points that is equidistant from a fixed point called the center. Which is the correct answer would be an option (A)
What is the hyperbola?Hyperbola is defined as a conic section, a two-branched open curve, produced by the intersection of a circular cone.
(x-h)²/b² - (y-k)²/a² = 1
This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.
The variable h represents the x-offset from the origin,
and k represents the y-offset from the origin.
Here it is a locus of points that are all equal distance from the center, a constant point.
Therefore, it is a locus of points that is equidistant from a fixed point called the center.
Learn more about the hyperbola here:
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A garden table and a bench cost $666 combined. The garden table costs $84
less than the bench. What is the cost of the bench?
$
Answers
666/2= 333 Divide in half.
333 + 84 = 417 Add 84 to bench since its $84 more.
666 - 417 = 249 Subtract to get value of table.
Therefore, the table costs $249 and the bench costs $417.
Answer:
375
Step-by-step explanation
Because u take the equation and plug in each of the values getting you G+B=666 and then you know that the Garden Table is less than the bench so u plug that in to get B-84+B=666 and then you combine like terms and get 2b-84=666 then you can solve the equations by first adding to even the equation 2b=750 then dividing 2 by 750 to get b=375.