We can set up a proportion using the given ratio:
Weight on Earth : Weight on Planet X = 5 : 12
Let's let x be the weight of the elephant on Planet X. We can substitute the given weight on Earth to solve for x:
3800 : x = 5 : 12
We can cross-multiply to get:
3800 * 12 = 5 * x
Simplifying the right side, we get:
45600 = x * 5
Dividing both sides by 5, we get:
x = 9120
Therefore, the weight of the elephant on Planet X is 9120 pounds.
Find the value of x.
Round to the nearest tenth.
18
A
28°
x = [? ]
X
Law of Sines: sin A
a
=
sin B
b
=
83°
C
sin C
C
X
B
Answer: It looks like you are trying to use the Law of Sines to find the value of x. The Law of Sines states that, in any triangle, the ratio of the sine of an angle to the length of the side opposite that angle is the same for all three angles and all three sides. In other words, if A, B, and C are the angles of a triangle and a, b, and c are the lengths of the sides opposite those angles, then:
sin A / a = sin B / b = sin C / c
To find the value of x, you need to plug in the values of the angles and the side lengths that you know, and then solve for x. Based on the information you provided, it looks like you know the values of A, B, and c. Therefore, you can use the Law of Sines to write the following equation:
sin A / x = sin B / b = sin C / c
You can then solve for x by cross-multiplying and rearranging the terms:
x = (b * sin A) / sin B
Plugging in the values you know, you get:
x = (b * sin 28°) / sin 83°
You can then use a calculator to find the value of x. When you do this, you will get a value of approximately 5.2. Rounded to the nearest tenth, the value of x is 5.2. The other options you gave are not equal to 5.2.
The value of x using sine rule is 8.5 (nearest tenth)
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
Sine rule is used to find unknown side and unknown angle when the other side and corresponding angle is given.
The corresponding angle to 18 is 83°
The corresponding angle to x is 28°
Therefore;
x/sin28 = 18/sin83
18sin28 = xsin83
8.45 = 0.992x
divide both sides by 0.992
x = 8.45/0.992
x = 8.5 (nearest tenth)
Therefore the value of x to the nearest tenth is 8.5
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PLS HELP ME ANSWER THIS QUESTION..
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
a race car driver completes 30 laps in 15 minutes at a constant speed.
What's is the driver's speed?
Answer:
2 laps per second.
Step-by-step explanation:
30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.
HURRY PLEASE ILL GIVE POINTS
The area of a rectangular wall of a barn is 171 square feet . It’s length is 10 feet longer than the width . Find the length and width of the wall of the barn
Answer:
10 x 17.1 = 171
Step-by-step explanation:
10 x 17.1 = 17.1
Solve the equation without using a calculator
\(\bf\\\\log^2x+log^2(x+10)=log^211\\\\log(x+10)\neq 0\)
\(\bf\\(\ lgx=log_{10}x=logx\ )\)
The solution to the logarithmic expression log²x + log²(x + 10) = log²11 is;
x = -11 and 1
How to solve logarithm expressions?We are given the logarithmic expression as;
log²x + log²(x + 10) = log²11
By the power rule of logarithm, we know that; log²x = 2log x
Thus;
log²x + log²(x + 10) = log²11 can be expressed as;
2log x + 2log (x + 10) = 2log 11
Divide through by 2 to get;
log x + log (x + 10) = log 11
We know from product rule of logarithm that log (ab) = log a + log b. Thus; log x + log (x + 10) = log 11 is;
log x(x + 10) = log 11
Log cancels out to get;
x² + 10x - 11 = 0
Using quadratic equation calculator gives;
x = -11 and 1
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Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
This graph shows the equations y= - 1/2x + 3 and y=2x-2.
A coordinate that is a solution to the first equation but not a solution to the system of equations is (3, 1.5).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
a) Given that, the graph shows the equations y= - 1/2x+3 ------(i) and y=2x-2 ------(ii).
From the graph, the solution is (2, 2)
b) Put x=1 in equation (i), we get
y= -1/2(1)+3
y= 2.5
Put x=2 in equation (i), we get
y= -1/2(2)+3
y= 2
Put x=3 in equation (i), we get
y= -1/2(2)+3
y= -1/2 (3)+3
y= -1.5+3
y= 1.5
So, a coordinate that is a solution to the first equation is (3, 1.5)
Therefore, a coordinate that is a solution to the first equation but not a solution to the system of equations is (3, 1.5).
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what is 2 plus 2 plus 3 plus 3 plus 5
Answer:
the answer to the question would be 15
Answer:
15
Step-by-step explanation:
Most brainiest will get the crown, no wrong answers or you get flagged.
Which graph represents the function f(x)=4x?
Responses
Answer:
slope = 4
points on graph = (0,0), (1,4)
Step-by-step explanation:
line going through quadrants 1 and 3. Straight line.
Simplify (x + 5)2 using the square of a binomial formula.
x² + 10x + 25
x²-10X-25
x²-10x+25
x² + 10x - 25
Answer:
\(x^2 + 10x + 25\)
Step-by-step explanation:
Hello!
Formula: \((a +b)^2 = a^2 + 2ab + b^2\)
a = xb = 5Plug it into the formula and simplify.
Simplify\((a +b)^2 = a^2 + 2ab + b^2\)\((x +5)^2 = x^2 + 2(x)(5) + 5^2\)\((x +5)^2 = x^2 + 10x + 25\)The answer is the first option: \(x^2 + 10x + 25\).
Answer:
x^2-10x+25
Step-by-step explanation:
This is the correct answer
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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Dia is 10 years old. How many years have to add with twice of her age to get 24?
Answer:
4
Step-by-step explanation:
twice her age:
10*2 = 20
24-20 = 4
Answer:
4 i believe that's the answer
What is the value of x when the Richter scale rating is 7.8? Round your answer to the nearest hundredth.
Does anyone understand this?
Answer:
\( x = - 1\)
\(x + 1 = 0\)
\( {(x + 1)}^{2} = {x}^{2} + 2x + 1 = 0\)
So m = 2 and n = 1, meaning m + n = 3.
Sam needs to fill a cylindrical container with punch. The container has
a radius of 11 inches and a height of 18 inches. How much punch can
Sam fit into the container?
Volume of the cylinder = 6838.92 cubic inches
We have to given that;
Sam needs to fill a cylindrical container with punch.
And, The container has a radius of 11 inches and a height of 18 inches.
Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.
Volume of a cylinder = πr²h
Where,
r=radius
h= height
Then,
π=22/7 or 3.14 (constant value)
r=11 inches
h=18 inches
Volume of a cylinder is,
= 3.14 × (11)² × 18
= 6838.92 cubic inches
Hence, Volume of the cylinder = 6838.92 cubic inches
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Alexander has a previous balance of $982 on a credit card with a 19.2% APR compounded monthly. If he made a payment of $73 this month, what is the new balance on his credit card?
On the basis of a survey of 545 television viewers, a statistician has constructed a confidence interval and estimated that the proportion of people who watched the season premiere of Glee is between .16 and .24. What level of confidence did the statistician use in constructing this interval?
Answer:
0.98 also 98%
Step-by-step explanation:
In this question we have the Lower limit to be 0.16
We have the Upper limit to be 0.24
Such that (0.16+0.24)/2 = 0.40/2 = 0.20
Standard deviation= √(0.2x0.8/545) this gives 0.017134
Next we get margin of error
Margin of error = 0.24-0.20 = 0.04
Z multiplied by sd =0.04
Such that
Z = 0.04/0.017134 =2.33
On this z score, the Corresponding level of confidence is 0.98
Which is 98%
Complete the table below for the function y = 5x - 2.
Evaluate the function f at the values f(-1) and f(2)
The given function is expressed as
\(f(x)\text{ = }\frac{(x\text{ - 2)}}{x\text{ + 3}}\)To determine f(-1) and f(2), we would substitute x = - 1 and x = 2 into the function
\(\begin{gathered} f(-1)\text{ = }\frac{-1-2}{-1+3}=\frac{-3}{2} \\ f(2)=\frac{2\text{ - 2}}{2\text{ + 3}}=\text{ }\frac{0}{5}=0 \end{gathered}\)in the class there are 50 students 35 are boy. calculate the ratio of girls to boy
The ratio of girls to boys in the class is 3:7.
To calculate the ratio of girls to boys in the class, we need to determine the number of girls in the class.
Given that there are 50 students in total and 35 of them are boys, we can find the number of girls by subtracting the number of boys from the total number of students:
Number of girls = Total number of students - Number of boys
Number of girls = 50 - 35
Number of girls = 15
Now that we know there are 15 girls in the class and 35 boys, we can calculate the ratio of girls to boys.
Ratio of girls to boys = Number of girls / Number of boys
Ratio of girls to boys = 15 / 35
To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 5:
Ratio of girls to boys = (15 ÷ 5) / (35 ÷ 5)
Ratio of girls to boys = 3 / 7
This means that for every 3 girls, there are 7 boys in the class. The ratio provides a relative comparison of the number of girls to the number of boys, helping to understand the gender distribution within the class.
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Which number best represents the location of the point on the line?
X
-4.44
-T
11
3
_V17
RETRY
Answer:
- 11 over 3 Just did it on edg 2021
Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.
Use the change of base formula: log base b of y equals log y over log b.
\(~~~~~37^x = 12\\\\\implies \ln\left( 37^x \right) = \ln(12)\\\\\implies x \ln (37) = \ln(12)\\\\\implies x = \dfrac{\ln(12)}{\ln(37)}\\\\\implies x \approx 0.689\)
the storewide Price (P) reduction is 18% off. Write an algebraic expression for the amount you pay before Sales tax
We will have the following expression:
\((P)-0.18\cdot(P)=P\)Here (P) is the storewide price and P is the price paid before sales tax.
Prove: The product of the slopes of lines AC and BC is -1.
Given that the AC and BC are perpendicular, their slopes are the negative inverse of each other which gives that the product of the slopes of AC and BC is -1
How can the prove that the product of the slopes is -1 be found?The completed proof is presented as follows;
The slope of AC or GC is GF/FC by definition of slope. The slope of BC or CE is DE/CD by definition of slope.
<FCD = <FCG + <GCE + <ECD by angle addition property <FCD = 180° by the definition of a straight angle, and <GCE = 90° by definition of perpendicular lines. So by substitution property of equality 180° = <FCG + 90° + <ECD. Therefore 90° - <FCG = <ECD, by the subtraction property of equality . We also know that 180° = <FCG + 90° + <CGF by the triangle sum theorem and by the subtraction property of equality 90° - <FCG = <CGF, therefore <ECD = <CGF by the substitution property of equality. Then <ECD ≈ <CGF by the definition of congruent angles. <GFC ≈ <CDE because all right angles are congruent. So by AA ∆GFC ~ ∆CDE. Since the ratio of corresponding sides of similar triangles are equal then GF/CD = FC/DE or GF•DE = CD•FC by cross product. Finally, by the division property of equality GF/FC = CD/DE. We can multiply both sides using the slope of using the multiplication property of equality to get GF/FC × -DE/CD = CD/DE × -DE/CD. Simplify so that GF/FC × -DE/CD = -1. This shows that the product of the slopes of AC and BC is -1.
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Two competing concession stands recorded the number of hamburgers sold daily for one week.
Which statement correctly compares the data?
A. The number of hamburgers sold daily at stand 1 is generally less than that sold at stand 2.
B. The number of hamburgers sold daily at both stands is approximately the same.
C. The number of hamburgers sold daily at stand 2 is generally less than that sold at stand 1.
D. Although the median number of hamburgers sold daily at stand 1 is generally less than that at stand 2, the variability creates too much overlap for any conclusion to be made.
We can respond to that by addressing the problem at hand equation Option D claims that even though stand 1 typically sells fewer hamburgers on average per day than the median quantity,
What is equation?A math equation is a procedure that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions
According to Option A, fewer hamburgers are typically served each day at Stand 1 than at Stand 2. If the evidence are consistent with this assertion, it would be true.
Option B claims that both stands sell roughly the same amount of hamburgers every day. If the statistics for both stands are remarkably comparable and the discrepancy between them is not great, then this would be the accurate statement.
Option C claims that, on average, fewer hamburgers are sold each day at stand 2 than at stand 1. If the evidence are consistent with this assertion, it would be true.
Option D claims that even though stand 1 typically sells fewer hamburgers on average per day than the median quantity,
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A survey of 450 randomly chosen US adults found that 35% of the 200 men and 40% of the 250 women attended a college football game during the past month. Do these data provide statistical evidence at the α = 0.01 level that men are more likely than women to attend football games? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answer:100,000
Step-by-step explanation:
You have a job that pays $20.00 for each day you show up, plus $11.00 per hour. Which expression shows the amount you make in one day if you work for (h) hours?
Answer:
Step-by-step explanation:
20.00+ 11.00=31.00
31x24=744
ps u did not put how manny hours so my answer cant be correct
A regular 2016-gon with all vertices on the unit circle is given. Find its perimeter, as a decimal to the nearest hundredth. (I have been stuck on this problem for half a hour I need help asap)
Answer:
6.28 unitsStep-by-step explanation:
Interior angle opposite to each side of the polygon is:
(360/2016)°Since the circle is unit circle, its radius is 1 unit.
Let the side is a, then as per definition of sine we have:
sin ((360/2016)/2) = (a/2)/1a = 2 sin (180/2016)°a = 0.00311665811The perimeter is:
P = 2016a = 2016(0.00311665811) ≈ 6.28 units