Answers
QUESTION 1
The tangent ratio is the ratio of the length of the opposite side of the length of the adjacent side.
From ΔVWX,
[tex]\tan(X)=\frac{VW}{WX}[/tex]
From ΔYZX,
[tex]\tan(X)=\frac{YZ}{XZ}[/tex]
[tex]\therefore \tan(X)=\frac{VW}{WX}=\frac{YZ}{XZ}[/tex]
QUESTION 2
We use the tangent ratio to obtain;
[tex]\tan(V)=\frac{Opposite}{Adacent}[/tex]
[tex]\tan(V)=\frac{WX}{VW}[/tex]
QUESTION 3
From ΔVWX,
[tex]\tan(X)=\frac{VW}{WX}[/tex]
We take the inverse tangent of both sides to obtain;
[tex]X=\tan^{-1}(\frac{VW}{WX})[/tex]
[tex]\therefore \tan^{-1}(\frac{VW}{WX})=X[/tex]
QUESTION 4
From ΔVWX,
[tex]\tan(V)=\frac{WX}{VW}[/tex]
Taking the inverse tangent of both sides, we obtain;
[tex]V=\tan^{-1}(\frac{WX}{VW})[/tex]
[tex]\therefore \tan^{-1}(\frac{WX}{VW})=V[/tex]
QUESTION 5.
We know that
[tex]\tan(V)=\frac{WX}{VW}[/tex]
and
[tex]\tan(X)=\frac{VW}{WX}[/tex]
[tex](\tan X)(\tan V)=(\frac{VW}{WX})(\frac{WX}{VW}=1[/tex]
QUESTION 6.
[tex]\tan^{-1}(\frac{VW}{WX})=X[/tex]
[tex]\tan^{-1}(\frac{WX}{VW})=V[/tex]
This implies that;
[tex]\tan^{-1}(\frac{VW}{WX})+\tan^{-1}(\frac{WX}{VW})=X+V[/tex]
QUESTION 7
[tex]\tan 23\degree =0.4244[/tex]
We round to the nearest 0.01 to obtain;
[tex]\tan 23\degree =0.42[/tex]
QUESTION 8
[tex]\tan 43\degree =0.9325[/tex]
We round to the nearest 0.01 to obtain;
[tex]\tan 43\degree =0.92[/tex]
QUESTION 9
[tex]\tan ^{-1} 0.14=7.9696\degree[/tex]
We round to the nearest 0.01 to obtain.
[tex]\tan ^{-1} 0.14=7.97\degree[/tex]
QUESTION 10
[tex]\tan ^{-1} 1=45.00\degree[/tex]
QUESTION 11
[tex]\tan ^{-1} 0.14=7.97\degree[/tex]
This implies that;
[tex]\tan 7.97\degree=0.14[/tex]
QUESTION 12
[tex]\tan ^{-1} 1=45.00\degree[/tex]
This implies that;
[tex]\tan 45.00\degree=1[/tex]
Related Questions
rewrite 3 x 6/8 as the product of a unit fraction and a whole number
Answers
3/1×6/8=3/1×3/4=9/4=2 1/4
Drawing A Red Tile From A Bag And Then Drawing A Green Tile After Replacing The First Tile. Dependent Or Independent?
Answers
Answer:
Independent
Step-by-step explanation:
with replacement the total number of tiles will always remain the same,i.e the sample size will not be changed. so the events are independent.
Drawing a red tile from a bag and a green tile after replacing the first tile are independent events because the composition of the bag remains unchanged, meaning the probability of drawing the green tile remains constant.
When drawing a red tile from a bag and then drawing a green tile after replacing the first tile, the two events are considered independent. The outcome of drawing the green tile does not depend on the outcome of drawing the red tile. This is because when the first tile is replaced, the composition of the tiles in the bag remains unchanged, resulting in the probability of drawing a green tile being the same regardless of the previous draw. This is known as sampling with replacement.
If, however, the first tile was not replaced, the events would then be dependent, because the removal of the red tile would alter the composition of the bag, affecting the probability of drawing a green tile on the second draw. This is referred to as sampling without replacement. An example of dependent events is a scenario where if a bag contains four blue and three white marbles, and a marble is drawn and not replaced, the probability of drawing a marble of a particular color would change for the second draw.
John wrote 1/5 of a paper in 1/4 of an hour how long did it take him to write an entire paper?\
Answers
Answer:
2 hours and 5 minutes.
Step-by-step explanation:
1 hour and 15 minutes. A quarter of an hour is 15 minutes. A full paper would be 5/5. So you would take 15x5 which would give you 75 minutes or an hour and 15 minutes
the perimeter of a parallelogram is 72 meters. the width of the parallelogram is 4 meters less than it's length. Find the length and the width of the parallelogram
Answers
Answer:
Length is 18 meters and width is 14 meters
Step-by-step explanation:
You can solve for the length by using the perimeter formula.
P = 2l + 2w.
You know P = 72. You also know the length is l and the width is w = l - 4.
72 = 2l + 2(l - 4)
72 = 2l + 2l - 8
72 = 4l - 8
72 = 4l
18 = l
This means the width which is 4 meters less is 18 - 4 = 14.
Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals. Maggie keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns over another tile without looking. What is the probability that the second tile that Maggie turns over has a plant on it?
Answers
Answer:6/8 - - - - simplified 3/4
Step-by-step explanation: removing the tile she just flipped over would be 6 plants and 2 animals so there would be 8 total tiles and you would putt the remaining tiles over it like so 6/8 meaning out of the remaining 8 tiles 6 of them are plants giving her a 6 in 8 chance or a 3 in 4 chance
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
We are given that Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals .
Number of tiles with picture of plants =7
Number of tiles with picture of animals =2
Total number of tiles =7+2=9
We have to find the probability that the second tile that Maggie turns over has plant on it .
When she removes one tile of picture of plant then she has number of tiles of picture of plants =6
Total number of tiles =8
Probability,P(E)=[tex]\frac{Number\;of\;favorable\;cases}{Total\;number\;of\;cases}[/tex]
Using the formula then we get
The probability that she finds tile of picture of plant =[tex]\frac{6}{8}=\frac{3}{4}[/tex]
What is the volume of the cone shown in the picture ?
need some help
Answers
Answer:
Cone Volume = (π • radius² • height) ÷ 3
Cone Volume = (π • 8^2 * 17) /3
Cone Volume = (PI * 1,088) / 3
Cone Volume = 1,139.35 cubic centimeters
Step-by-step explanation:
What is the measure of angle x? Enter your answer in the box. x = ° Two perpendicular lines intersected by a third line, which goes from upper left to lower right. The angle formed on the left side of the figure by the diagonal line and the vertical line is labeled 42 degrees, and the angle formed on the right side of the figure by the diagonal line and the horizontal line is labeled x.
Answers
Two perpendicular lines make right angles which equal 90 degrees.
X = 90 - 42 = 48 degrees.
Write and solve an equation to answer the question,
"5 is 5% of what number w?"
An equation is blank =0.05 blank .
The solution is w= blank.
Answers
The mathematical representation of '5 is 5% of what number?' is 5 = 0.05w. To solve for w, we divide 5 by 0.05, which gives us a value of w=100.
Explanation:To solve the question, '5 is 5% of what number w?', we can set up the equation as 5 = 0.05w. This equation represents the statement '5 is 5% of some number w' in mathematical terms. To find the value of w, we divide both sides of the equation by 0.05. The calculation goes like this:
Set up the equation: 5 = 0.05wDivide both sides by 0.05: w = 5 / 0.05Perform the division to find the value of w: w=100Learn more about Math Percentage here:
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The equation to find the number for which 5 is 5% is: 5 = 0.05w. The solution to the equation is w = 100.
To write and solve the equation that represents the given statement, we can let 'w' represent the unknown number.
The equation is:
5 = 0.05w
Solving for w, we divide both sides by 0.05:
w = 5 / 0.05
w = 100
Therefore, the solution to the equation is w = 100. This means that 5 is 5% of 100.
Expand to write an equivalent expression: -1/4(-8+12y)
Answers
2-3y is the answer u used distributive property to expand it
Answer:
Step-by-step explanation:
Solve 2,401 = 76 – 2x.
Answers
Subtract 2,401 from both sides.
0 = 76 - 2401 - 2x
0 = -2325 - 2x
Add 2x on both sides.
2x = -2325
Divide both sides by 2.
x = -2325 / 2
x = -1162.5
There is the answer.
Please consider marking this answer as Brainliest to help me advance.
Answer:
its 1.
Step-by-step explanation:
Simplify the expression 4(2x - 3y) ASAP
Answers
Answer:
8x - 12y
Step-by-step explanation:
4(2x-3y)
Distribute/multiply the 4 to everything in the parentheses
4 * 2x = 8x 4 * -3y = -12y
8x - 12y
Answer:
[tex]4(2x-3y)=8x-12y[/tex]
Step-by-step explanation:
The given expression is
[tex]4(2x-3y)[/tex]
We expand using the distributive property to obtain;
[tex]4(2x-3y)=4\times2x-4\times3y[/tex]
This implies that;
[tex]4(2x-3y)=8x-12y[/tex]
A cake recipe calls for 425 g of flour about how many pounds of flour do you need use the conversion factors
Answers
You'd need 0 pounds and 14 ounces of flour.
Choose the third degree polynomial. 2x-5 3x2+2x-5 x3-3x2+2x-5 5x4+x3-3x2+2x-5
Answers
ANSWER
[tex] {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]
is the third degree polynomial.
EXPLANATION
The third degree polynomial has the highest degree to be 3.
All the polynomials were written in standard form.
[tex]2x - 5[/tex]
is a first degree polynomial.
[tex]3 {x}^{2} + 2x - 5[/tex]
is a second degree polynomial .
[tex] {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]
is a third degree polynomial.
[tex]5 {x}^{4} + {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]
is a fourth degree polynomial.
Answer:
[tex]x^3-3x^2+2x-5[/tex]
Step-by-step explanation:
Since, the degree of a polynomial is the highest power of its monomial with non zero coefficient,
In the polynomial 2x - 5,
The highest power is 1,
So, its degree is 1,
In the polynomial [tex]3x^2+2x-5[/tex],
The highest power is 2,
So, its degree is 2,
In the polynomial [tex]x^3-3x^2+2x-5[/tex],
The highest power is 3,
So, its degree is 3,
In the polynomial [tex]5x^4+x^3-3x^2+2x-5[/tex]
The highest power is 4,
So, its degree is 4.
Help me please urgent
Answers
4. A 65mi
5. B $270
Function k has a parent function. The table shows some ordered pairs that belong to k.
Answers
Answer:
C
Step-by-step explanation:
In the table -1 and 1 are equal to 5, which is also shown in C.
Since k is a transformed function, a graph that shows the parent function of k is: C. graph C.
Generally speaking, a function can be stretched by multiplying it with the absolute value of a numerical value that is either greater than 1 or less than -1.
Additionally, you should multiply the x-variable with the shrink or stretch factor when compressing (shrinking) or stretching a function horizontally.
Since the numbers 1 and -1 both yield the same output value, it ultimately implies that the graph of the parent function must be a parabola and a quadratic function;
As x decreases from -1, k(x) would increase.
As x increases from 1, k(x) would increase.
Missing information:
Function k has a parent function. The table shows some ordered pairs that belong to k.
Which graph shows the parent function of k?
which of the statements is true?
A) the sum of two irrational numbers is always irrational.
b) the product if two irrational numbers is sometimes rational.
c) the profuct of a rational number and an irrational number is sometimes rational.
d) the sum of two rational numbers is sometimes irrational
Answers
Answer: the answer is B beacuase The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."
The sum of two irrational numbers is always irrational is true. Option A is correct.
Given that,
To determine the statements that is true from the given statements.
In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
What are irrational numbers?An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.
Here,
A) the sum of two irrational numbers is always irrational.
True,
b) the product if two irrational numbers is sometimes rational.
False
c) the product of a rational number and an irrational number is sometimes rational.
False
d) the sum of two rational numbers is sometimes irrational.
False
Thus, the only option that is true is the sum of two irrational numbers is always irrational. Option A is correct.
Learn more about rational numbers here:
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If SS= 162 from a sample of 15 data, find s^2
Answers
Answer:
11.57
Step-by-step explanation:
We have a simple formula to solve this:
[tex]s^2=\frac{SS}{n-1}[/tex]
where
SS is sum of squares
s^2 is the variance, and
n is the number of data points
We are given all the info to find out s^2. Hence,
[tex]s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57[/tex]
if the radius of a circle is 15 units abs the center of the circle is (-3,2), what is the equation of the circle?
Answers
Answer:
[tex]\large\boxed{(x+3)^2+(y-2)^2=225}[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have r = 15 and the center (-3, 2). Substitute:
[tex](x-(-3))^2+(y-2)^2=15^2\\\\(x+3)^2+(y-2)^2=225[/tex]
PLEASE HELP MEH I REALLY NEED HELP
Answers
Answer:
find A PATTERN
Step-by-step explanation:
FIND A PATTERN IN THE NUMBERS
Answer:
The answer is 53
Step-by-step explanation:
A right triangle has:
three sides with the same length
two sides that are parallel
at least two congruent sides
two sides that are perpendicular
I think that the answer is that two sides are perpendicular but I am not very sure and would like to know
Answers
Answer:
An isosceles right triangle has 2 congruent sides.
Which of the following values in the set below will make the equation 5x + 6 = 6 true? (Only input the number.) {0, 1, 2, 3, 4} Numerical Answers Expected! Answer for Blank 1:
Answers
Answer:
0Step-by-step explanation:
Put the values of x from the set {0, 1, 2, 3, 4} to the euation 5x + 6 = 6 and check it:
for x = 0:
5(0) + 6 = 6
0 + 6 = 6
6 = 6 TRUE
for x = 1:
5(1) + 6 = 6
5 + 6 = 6
11 = 6 FALSE
for x = 2:
5(2) + 6 = 6
10 + 6 = 6
16 = 6 FALSE
for x = 3:
5(3) + 6 = 6
15 + 6 = 6
21 = 6 FALSE
for x = 4:
5(4) + 6 = 6
20 + 6 = 6
26 = 6 FALSE
Esta es una bebida amarga.
sweet
yellow
bitter
salty
Answers
Answer:
Step-by-step explanation:
It's not math, but the answer is BITTER. (i used google translate)
which place value chart represents the number 450,803
Answers
Answer:
3 = ones
0 = tens
8 = hundreds
0 = thousands
5 = ten-thousands
4 = hundred-thousands
Answer
C. 4508
Your Welcome
Please help with this normal distribution problem
Answers
900 = 750 + 2*75. In other words, 900 is 2 standard deviations away from the mean. Similarly, 975 is 3 standard deviations from the mean. So
[tex]P(900<X<975)=P(2<Z<3)[/tex
where [tex]X[/tex] is the random variable for the lifespan of a light bulb with the given normal distribution, and [tex]Z=\dfrac{X-750}{75}[/tex] with the standard normal distribution.
We get
[tex]P(2<Z<3)\approx0.0214=2.14\%[/tex]
If you don't have a calculator/lookup table available, you can invoke the empirical rule, the one that says
[tex]\begin{cases}P(-1<Z<1)\approx68\%\\P(-2<Z<2)\approx95\%\\P(-3<Z<3)\approx99.7\%\end{cases}[/tex]
The normal distribution is symmetric about its mean, so we also know
[tex]\begin{cases}P(0<Z<1)\approx34\%\\P(0<Z<2)\approx47.5\%\\P(0<Z<3)\approx49.85\%\end{cases}[/tex]
Then
[tex]P(2<Z<3)=P(0<Z<3)-P(0<Z<2)\approx2.35\%[/tex]
Answer:
0.021
Step-by-step explanation:
One way in which to approach this problem solution is to use a calculator that has statistical distribution functions built in. My old TI-83Plus has the function "normalcdf," which does the job nicely.
Typing in normalcdf(900,975,750,75) results in the probability 0.021 that a light bulb chosen at random will last between 900 and 975 hours.
Using a table of z-scores would be a good alternative approach. Note that the z-score corresponding to 750 hours is 0; that for 900 is +2; and that for 975 is +3. Find the area under the standard normal curve to the left of 975 (z = 3) and that to the left of 900 (z = 2), and then subtract the two results. It will be 0.021, as before.
The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers.
Answers
ANSWER
[tex]4,8,14[/tex]
EXPLANATION
Let the first number be
[tex]x[/tex]
Then the second number will be
[tex]2x[/tex]
and the third number is
[tex]2x + 6[/tex]
The sum of these numbers is 26.
This implies that;
[tex]x + 2x + (2x + 6) = 26[/tex]
Group similar terms;
[tex]x + 2x + 2x = 26 - 6[/tex]
Simplify;
[tex]5x = 20[/tex]
Divide both sides by 5
[tex]x = \frac{20}{5} [/tex]
This gives us;
[tex]x = 4[/tex]
The numbers are:
[tex]4,8,14[/tex]
What is the volume of the square pyramid with base edges 16m and height 24m?
Answers
Answer:
192
Step-by-step explanation:
1/2 of 24 times 16=192
An someone please help.
Answers
This is a special right triangle with 3 sides that are 5, 12, 13. You should remember this triangle.
[tex] {13}^{2} = {x}^{2} + {12}^{2} \\ {x}^{2} = {13}^{2} - {12}^{2} \\ x = \sqrt{ {13}^{2} - {12}^{2} } = \sqrt{169 - 144} = \sqrt{25} = 5[/tex]
A triangle has an area of 80 yd2
and a height of 10 yd
How long is the base of the triangle?
Enter your answer in the box.
Answers
Answer:
The base is 16
Step-by-step explanation:
Answer:
8 yd²
Step-by-step explanation:
oof IDK anymore look above at the picture
Answers
Answer:
V=120 in^3
Step-by-step explanation:
Height x Width x Length
Which graph represents the multiplication of 3(-4)
Answers
Answer:
Step-by-step explanation:
Unfortunately, you haven't shared the graphs from which you're supposed to choose.
I would draw a number line. Place a dot at 0. Now move 4 spaces to the left and place another dot. Repeat this twice. Your final dot will represent 3(-4).
Answer:
Look at the photo provided above