Answers
Answer:
tan(X) = 1.05
Step-by-step explanation:
The triangles WXY and VTU are similar using the case AA (angle-angle).
The angle X is equal the angle T, therefore they have the same tangent value.
The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:
[tex]tan(T) = UV / UT[/tex]
[tex]tan(T) = 21 / 20 = 1.05[/tex]
[tex]tan(X) = tan(T) = 1.05[/tex]
Related Questions
Ahmed wants to get a loan from his credit union for $20,000 to buy a new car. He can get an interest rate of 5% and can pay off the loan in 5 years. How much will Ahmed pay each month?, How much will Ahmed pay in interest?
Answers
Answer:
Step-by-step explanation:
The cost of the new car is $20,000.
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the loan
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $20000
r = 0.05/12 = 0.0042
n = 12 × 5 = 60
Therefore,
P = 20000/[{(1+0.0042)^60]-1}/{0.0042(1+0.0042)^60}]
20000/[{(1.0042)^60]-1}/{0.0042(1.0042)^60}]
P = 20000/{1.286 -1}/[0.0042(1.286)]
P = 20000/(0.286/0.0054012)
P = 20000/52.95
P = $378
Ahmed will pay $378 each month
The total payment is
378 × 60 = $22680
The amount that Ahmed will pay in interest is
22680 - 20000 = $2680
A linear inequality in one variable is a linear equation in one variable with the equals symbol replaced by an inequality symbol. True or False?
Answers
Answer:
True
Step-by-step explanation:
Example:
8 = 3 x - 5 is the equation in one variable
an associated linear inequality in one variable is for example:
8 < 3 x - 5
PLEASE HELP!!!
These dot plots show the ages in years) for a sample of two types of fish.
Answers
Explanation:
The median is the center of the distribution. We see that the center of the shark's distribution is to the left compared to the koi's center. Therefore, the shark's median age is smaller. Choice A is one of the answers.
The spread is exactly what it sounds like: how spread out the data is. Mathematically we use the standard deviation, or sometimes the range, to find out how spread out things are. The koi distribution is more spread out. The shark's data is more clumped together. This is why choice B is the other answer.
Center: Sharks have lower median age than Koi.
Spreads: The ages of koi are more spread out.
What is dot plot?A dot plot is a standardized way of displaying the distribution of data based on a five number summary.
What is the median in a dot plot?The center line in the dot plot shows the median for the data .
What is the spread of data?Spread of data is measured in terms how far the data differs from the mean.
According to the given question
We have a dot plots for the two fishes sharks and Koi.
According to the given dot plot
Most ages of the sharks is lower than the koi.
⇒ Sharks are lower than koi.
So, the center: Sharks have lower median age than Koi.
Also, the ages of Koi are wide spreading.
⇒ The ages of koi are more spread out
Therefore, Spreads: The ages of koi are more spread out.
Hence, option A and B are correct.
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Find the slope and y-intercept of each line:
a. (x+2)(x+3)=(x-2)(x-3)+y
b. x=my+b
Please show workings, and I won't accept nonsense answers! Don't answer the question if you don't know what it means!!
Answers
Answer:
See below
Step-by-step explanation:
Part A:
[tex](x+2)(x+3) = (x+2)(x-3) + y[/tex]
Resolving Parenthesis
[tex]x^2+3x+2x+6=x^2-3x-2x+6+y\\x^2+5x+6 = x^2-5x+6+y[/tex]
Subtracting [tex]x^2[/tex] and 6 to both sides
[tex]5x= -5x+y[/tex]
Adding 5x to both sides
[tex]y = 5x+5x\\y = 10x[/tex]
Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept
So,
Slope = m = 10
Y-intercept = b = 0
Part B:
[tex]x = my+b[/tex]
Subtracting b to both sides
[tex]my = x-b[/tex]
Dividing both sides by m
[tex]y = \frac{x-b}{m}\\ y = \frac{x}{m} - \frac{b}{m}[/tex]
Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept
So,
Slope = m = [tex]\frac{1}{m}[/tex]
Y-intercept = b = [tex]-\frac{b}{m}[/tex]
3 3/8 divided by 9 =
Answers
Answer:
0.375
Hope this helps....
Have a nice day!!!!
Answer:
3/8
Step-by-step explanation:
Hey there!
[tex]\frac{3}{8} = \frac{3*8+3}{8} = \frac{24 + 3}{8} = \frac{27}{8}[/tex]
[tex]\frac{27}{8} = \frac{27 / 9}{8} = \frac{3}{8}[/tex]
= 3/8
Hope this helps :)
ratio
simplify
4x:9=7:3
Answers
Answer:
4x:9=7:3 can be written as
[tex] \frac{4x}{9} = \frac{7}{3} [/tex]
Cross multiply
We have
4x(3) = 9 × 7
12x = 63
Divide both sides by 12
[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]
Hope this helps you
Answer:
[tex]\boxed{x=\frac{21}{4}}[/tex]
Step-by-step explanation:
[tex]4x:9=7:3[/tex]
Turn ratios to fractions.
[tex]\frac{4x}{9} =\frac{7}{3}[/tex]
Cross multiplication.
[tex]4x \times 3 = 9 \times 7[/tex]
Simplify.
[tex]12x=63[/tex]
Divide both sides by 12.
[tex]x=\frac{63}{12}[/tex]
[tex]x=\frac{21}{4}[/tex]
if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?
Answers
Answer:
$320
Step-by-step explanation:
Let the total sum of money be $x.
Therefore,
12 1/2% of x = 40
25/2% * x = 40
0.125 * x= 40
x = 40/0.125
x = $320
Thus, total sum of money is $320.
3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?
Answers
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{3}{x-2}[/tex]
The degree of the numerator is zero 0 ( 3[tex]x^{0}[/tex] )
The degree of the denominator is 1
Since the degree of denominator > degree of numerator.
Then there is a horizontal asymptote at y = 0
A box contains 10 red marbles and 10 green marbles. Sampling at random from this box five times without replacement, you have drawn a red marble all five times. Without replacing any of the marbles, what is the probability of drawing a red marble the 6th time?
Answers
Answer:
5/15 is the probability of choosing a red marble from the box.
Step-by-step explanation:
We know that,
There are 5 red marbles and 10 green marbles in the box.
Divide the number of events by the number of possible outcomes. This will give us the probability.
P(red marble) = P(5)
Possible outcomes
5 red, 10 green -> 15 possibilities
Probability = [tex]\frac{5}{15}[/tex]
Please leave a 'thanks' if this helped!
The required probability of drawing a red marble the 6th time is 1/2.
Given that,
A box contains 10 red marbles and 10 green marbles.
Sampling at random from this box five times without replacement, you have drawn a red marble all five times.
Without replacing any of the marbles.
We have to determine,
What is the probability of drawing a red marble the 6th time?
According to the question,
There are 10 red marbles and 10 green marbles,
The initial condition is to the same state at every step, so the probability to get a red marble is the same in each sampling and is equal to the ratio of the number of red marbles to the total number of samples.
Therefore,
The probability of drawing a red marble the 6th time is,
[tex]P = \dfrac{10}{10+10}\\\\P = \dfrac{10}{20}\\\\P = \dfrac{1}{2}[/tex]
Hence, The required probability of drawing a red marble the 6th time is 1/2.
To know more about Probability click the link given below.
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If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 2), (negative 1, 2). (–4, –7) (–4, 2) (2, –7) (2, 11)
Answers
Answer:
A ( -4, -7)
Step-by-step explanation:
if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )
Answer:
A.
Step-by-step explanation:
PLEASE HURRY I NEED HELP BAD
An equation is shown below:
5(2x – 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answers
Answer:
One solution
2
Step-by-step explanation:
5(2x-3)=5
10x-15=5
10x=5+15
10x=20
x=2
Part A: 1
Part B: It has only one solution and it is 2.
Hope this helps ;) ❤❤❤
Answer:
I believe 1 solution
Step-by-step explanation:
divide both side of equation by 5= 2x-3)=1
add 3 to each side= 2x=1+3
2x=4
x=2
How many solutions does this system have? x-y=-4 3x+y=8 one two an infinite number no solution
Answers
Answer:
work is shown and pictured
whats the equation for this
Answers
Answer:
[tex]x^2 + y^2 + 4x + 4y = -119/16[/tex]
Step-by-step explanation:
The axes x and y are calibrated in 0.25
If the circle is carefully considered, the radius r of the circle is:
r = -1.25 - (-2)
r = 0.75 units
The equation of a circle is given by:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
The center of the circle (a, b) = (-2, -2)
Substituting (a, b) = (-2, -2) and r = 0.75 into the given equation:
[tex](x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y = -119\\\\x^2 + y^2 + 4x + 4y = -119/16\\[/tex]
Which graph represents the function f(x)=|x−3|+1 ?
Answers
Answer:
the first one (in quadrant 1, pointing upwards)
Step-by-step explanation:
since the function is positive the graph will be facing upwards and start off at 1
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³
Answers
Answer:
3.14
Step-by-step explanation:
please solve the volume of the triangular prism
Answers
Answer:
V = 225 cm²
Step-by-step explanation:
The volume of a prism is the product of the base's area and the height
the base of this prism is triangular
the area of a triangle is given by the formula :
A = [tex]\frac{b*h}{2}[/tex]b is the base(6cm) and h the height (5cm)
A = [tex]\frac{5*6}{2}[/tex] A = 15 cm²So the volume is
V = 15*A V = 15*15 V = 225 cm²Answer:
225 cm³
Step-by-step explanation:
Area of cross-section × length = Volume of a triangular prism
Area of cross-section is the area of the triangle section.
Area of cross section:
5 × 6 × 0.5
30 × 0.5
= 15
Calculate volume:
15 × length
15 × 15
= 225
A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half
Answers
Answer:
1/3!
Step-by-step explanation:
Good Luck On Whatever You Needed This For!
The probability of drawing a green marble out of the bag without looking is 1/3.
Given that, a bag contains 1 blue, 2 green, and 3 red marbles.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes =1+2+3 =6
Number of favorable outcomes = 2
Now, probability of drawing green marble
= 2/6
= 1/3
Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.
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A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?
Answers
There are ten options for each number.
If there are 6 numbers, there are 10^6 different combinations.
Answer:
151200 possible combinations
Step-by-step explanation:
There are 10 digits 0 - 9 ( 0,1,2,3,4,5,6,7,8,9)
There are 10 choices for the first digit
10
There are 9 choices for the second digit
9
There are 8 choices for the third digit
8
and so on since we can only use each digit once
10 *9*8 *7 *6*5
151200 possible combinations
A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing
Answers
Answer:
5 cm
Step-by-step explanation:
The length of the drawing will be 450 / 90 = 5 cm.
32. Mariah bought a shirt for $28.50 and a
belt. The total cost was $45.50. Which
of the following equations can be used
to find the cost of the belt?
A 28.50 +b=45.50
B 45.50 + b = 28.50
Cb= 28.50 - 45.50
D b= 28.50 x 45.50
Answers
Answer:
The correct answer is A because subtract 28.50 from 45.50 and you get the answer of 17$ for the belt
What equation represents the slope intercept from the line below y intercept ( 0, 2) slope -3/7 ( PLEASE HELP FAST TOP ANSWER GETS BRAINLIEST!!)
Answers
Answer:
[tex]\boxed{Option \ A}[/tex]
Step-by-step explanation:
y-intercept = b = 2 [y-intercept is when x = 0]
Slope = m = -3/7
Putting this in slope-intercept equation
=> [tex]y = mx+b[/tex]
=> [tex]y = -\frac{3}{7}x + 2[/tex]
Answer:
a
Step-by-step explanation:
Workers in an office of 40 staff were asked their favourite type of take-away. Pizza 9 Curry 6 Fish & chips 11 Kebab 10 Other 4 How many degrees represent 1 person?
Answers
Answer:
Hey there!
In total, there are 360 degrees. If there are 40 staff members, then each member has 360/40=9 degrees.
Hope this helps :)
Answer:
9 degrees
Step-by-step explanation:
There are 360 degrees in a circle
There are 40 people
360 / 40 = 9
Each person gets 9 degrees
Help me pls, it’s for right now
Answers
Answer:
c
Step-by-step explanation:
Angle 6 and 7, are complementary angles?
Answers
Answer:
Hey there!
Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.
Complementary angles are angles that add to 90 degrees.
Hope this helps :)
Answer:
∠6 & ∠7 are not complementary angles
Step-by-step explanation:
∠6 & ∠7 are supplementary angles on a line
The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.
Answers
Answer:
Afful is 21 and Naomi is 13.
Step-by-step explanation:
Let [tex]A[/tex] represent the age of Afful and [tex]N[/tex] represent the age of Naomi.
The sum of their ages is 34. In other words:
[tex]A+N=34[/tex]
In 5 years time, Afful will be two times the age of Naomi now. In other words:
[tex]A+5=2N[/tex]
Solve for the system. Substitute.
[tex]A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21[/tex]
Afful is currently 21 and Noami is currently 13.
Answer:
Naomi=x
Afful=2x
In 5 years time= +5
So Naomi=x+5
and and Afful=2x+5
=x+5+2x+5=34
=3x+10=34
Subtract 10 on both sides
3x=24
Divide 3 on both sides
X=8
Check:
X=8
Naomi=16
In 5 years
=16+5=21
Naomi=8+5=13
13+21=34
Hope this helps
Step-by-step explanation:
Write each of the following expressions without using absolute value.
|a−7|−|a−9|, if a<7
PLEASE HELP!!!! D:
Answers
=======================================================
If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that
[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]
Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.
---------
So we have,
|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2
As long as a < 7, the result of |a-7| - |a-9| will always be -2.
---------
As an example, let's say a = 0
|a-7| - |a-9| = |0-7| - |0-9|
|a-7| - |a-9| = |-7| - |-9|
|a-7| - |a-9| = 7 - 9
|a-7| - |a-9| = -2
I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.
Helpppppppppp pleasessssss
Answers
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Answers
Answer:
0
Step-by-step explanation:
Answer: it's C. 0
Also Happy early Christmas
Lines L and K are parallel to each other. Measure of angle A= 120 degrees, and measure of angle C= 80 degrees. What is the number of degrees in measure of angle B? Please answer ASAP! Thanks!
Answers
Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)
The measure of angle B in Parallel lines will be 160°.
What are parallel lines?
Parallel lines are those lines that never intersect at any point and always maintain a constant distance.
We have,
Lines L and K are parallel to each other.
And,
The measure of angle A = 120°
The measure of angle C = 80°
Now,
Draw a straight line from A to B,
So, that ∠BAl = 90° and
∠ABk = 90°
We get,
ΔABC,
Now in ΔABC,
∠C = 80°
∠A = 120 - 90 = 30°
So, Using Tringle angle sum property,
80° + 30° + ∠ABC = 180°
⇒
∠ABC = 180° - 110°
∠ABC = 70°,
Now,
Adding ∠ABC and ∠ABk, to get ∠CBk,
i.e.
∠CBk = ∠ABC + ∠ABk = 70° + 90°
∠CBk = 160°
Hence we can say that the measure of angle B will be 160°.
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Please help me! I am struggling
Answers
Answer:
Oh man! I totally understand why you are struggling!
Step-by-step explanation:
You want the textbook or the cheat sheet?
Lets go with the cheat sheet.
So, notice the line segments, correct?
The way to find those is Pythagorean Theorem.
The squares of the legs of the triangle add up to the length of the hypotenuse squared. Imagine that the lengths of the sides ARE Hypotenuses. Then, form a triangle, with the legs (Other sides of the triangle except the hypotenuse) either vertically or horizontally(I explain it better below).
In other words, we need to create a right triangle with AB as the hypotenuse to use Pythagorean Theorem. How do we do that?
Count the number of units both vertically and horizontally from point A to B. Essentially, make a horizontal line segment starting at A, and stop it over B. Then, make a vertical line that goes down to B from that ending point (Remember to count the number of units along the way).
Those are your legs. Then, use those measurements in the Pythagorean Theorem:
[tex]12^{2} + 8^{2}=AB[/tex]
I'm confident you can solve this! If you know mathematics...
Then, repeat for either AD or BC.
Then, use the formula for area of the Rectangle. How do we know that it is a rectangle? Well, I'm skipping this part because it will take too long to do, but I can explain it later if you want!
Oh, well.
Hope this helps! Stay Safe!