The meaning of the expression tan 32°=0.624 is the adjacent side of ratio is 0.624m.
What is ratio?
the ratio is the number that can be used to express one is quantity as a fraction of the other ones. The two of numbers in a ratio can only be compared when they have the same unit. We are make use of ratios o compare two things.
Sol- let's take an example first
In a triangle abc
C is 32°
tan 32° = AB/BC =0.624m
By applying the theorem we know that
In a right triangle , tan 32° is the ratio of the constant to the adjacent side the ratio is
0.624 m.
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5. Identify whether each unit measures length, volume, or weight (or mass).
1.
Mile
Cup.
Pound
Centimeter
2.
3.
4.
5.
Liter
6.
Gram
7.
Pint
8.
Yard
9. Kilogram
10. Teaspoon,
11. Milliliter
Answer:
See below
Step-by-step explanation:
Length (L), volume (V), weight(W), or mass(M)
Mile L
Cup V
Pound W
Centimeter L
Liter V
Gram M
Pint V
Yard L
Kilogram M
Teaspoon V
Milliliter V
1. Mile
2. Cup
3. Pound
4. Centimeter
5. Liter
6. Gram
7. Pint
8. Yard
9. Kilogram
10. Teaspoon,
11. Milliliter
help me out please will give brainleist
Answer: A z=9
Step-by-step explanation:
Answer:
z = 12
Step-by-step explanation:
To understand the equation, you must first know that m∠a = 108°. It equals that because a regular five-sided polygon has an interior angle of 108° each.
Next, you would want to group all constants to the right side of the equation. By doing so, you want to subtract 72 from both sides.
(3z + 72) - 72 = 108 - 72
3z = 36
Lastly, you want to isolate the z by dividing 36 by 3.
z = 36 ÷ 3
z = 12
Factor completely. 4x^2-x-5
The factors of the given equation 4x^2-x-5 are 5/4 and -1.
What is referred as the factors of the polynomial?Factoring polynomials is the inverse procedure of multiplying polynomial factors. Factors of polynomials are zeros of polynomials that take the form of some other linear polynomial. If we divide a given polynomial by any of its factors after factorisation, the remainder would be zero.Factors are integers which are multiplied together to create the original number. The factors in the particular instance of polynomials are the polynomials that are multiplied to generate the original polynomial.For the given question, the expression is given as;
= 4x^2-x-5
as, 4×5 = 20, break the number such that on subtraction we will get -1.
= 4x^2 - 5x + 4x -5
Taking x common from first two digit.
= x(4x - 5) + (4x - 5)
Taking common again.
= (4x - 5)(x + 1)
Put the equation equal zero to find the factor.
4x - 5 = 0
x = 5/4
and, x + 1 = 0
x = -1
Thus, the factors are found as 5/4 and -1.
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D
E
F
The measure of angle D is 50°, the measure of angle E is 80°, and the
measure of angle F is 10 x. What is the value of x?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Since angle D is 50, E is 80, we can add those two for now, 50+80=130, to make it 180, we can do 180-130 which gives us 50. So the value of x is 5. Sorry that its pretty confusing
Some one help me please!
The number that is a surd is the number that is irrational. The given numbers are being classified as either surd or not a surd below.
What is a surd?A surd is defined as the representation that is made up of square root or cube root for numbers that are not a perfect square or that are irrational.
For example, √7, √3, and √5 is a surd while √4 and √25 is not a surd.
The following numbers are classified as surd or no surd:
√80 = surd.
√2 × √6 = √ 12 = Surd
√216 = surd
2√3× √27 = 2√ 3× 27 = 2√ 81 = 2 × 9 = 18 = Not sure
2√28 = surd
√96 - √ 54 = √ 96-54 = √42 = surd
4√169 = 4× 13 = 52 = Not surd
√108 - 2√27 = 2√108-27 = 2√ 81 = 2*9 = 18 = Not surd
√30/√6 = √5= Surd
2/3√45 + 1/2√80 = surd
√75/√3 = √25 = 5 = Not surd
√126/√7-√162 = Surd
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help me please I suck at math because it's confusing
A reciprocal parent function represents a simple rational function, that is, a function that has the variable x as the denominator.
Hence, the answer is B.Tell whether the value is a solution of the inequality -1 > -x/2; x=3
Answer:
Yes, X = 3 is a solution
Step-by-step explanation:
We start by inputing 3 into the equation giving us -1 > -(3)/2
This means we have -1 > -3/2
Now we have to determine if this statement is true.
-1 Is greater than -3/2, because -3/2 is -1.5 as a decimal which is less than -1.
Meaning 3 is a solution
pls help!!
6cm, 5cm, 9cm
What is the midpoint of line segment (-6,-10) ,(-2,-8)
The mid-point of two coordinates is the average of the x and y coordinates thus the midpoint of the line segment with endpoints (-6,-10),(-2,-8) is (-4,-9).
What is a line segment?A line section that can connect two places is referred to as a segment.
A line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
The midpoint associated with two points (x₁, y₁) and (x₂, y₂) is given by
x = (x₁ + x₂)/2 , y = (y₁ + y₂)/2
x = (-6 - 2)/2 = -4 , y = (-10 - 8)/2 = -9
So, the coordinate will be (-4,-9).
Hence "The mid-point of two coordinates is the average of the x and y coordinates thus the midpoint of the line segment with endpoints (-6,-10),(-2,-8) is (-4,-9)".
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The vertices of △ABC are A(2, −3), B(−3, −5), and C(4, 1). If (x,y)--> (x-4, y-1), give the vertices of △A′B′C′.
Answer:
A' = (-2, -4)
B' = (-7, -6)
C' = (0, 0)
Step-by-step explanation:
Vertices of triangle ABC:
A = (2, -3)B = (-3, -5)C = (4, 1)Given mapping rule:
(x, y) → (x - 4, y - 1)
This notation tells you that the x-coordinate is translated 4 units to the left, and the y-coordinate is translated 1 unit down.
Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':
⇒ A' = (2 - 4, -3 - 1) = (-2, -4)
⇒ B' = (-3 - 4, -5 - 1) = (-7, -6)
⇒ C' = (4 - 4, 1 - 1) = (0, 0)
Which problem could be solved with the expression 3 (5 – 2) - 1?Choose 1 answer:Stephanie had 3 apples. She then found 5 more but immediately ate 2 of them. Several minuteslater, she ate 1 more. How many apples does she still have?Orlando had 5 action figures but decided to give 2 of them to his younger brother. His parents wereso impressed with his kindness that they tripled the action figures he had left. Since he got so manynew action figures, he then gave 1 more to his brother. How many action figures does he now have?Of Ralph's 5 toy cars, he gave 2 to his sister. After that, he found 1 more toy car. Then, he decidedto go to the store and triple his number of cars. How many toy cars does Ralph have now?Stuck? Review related articles/videos or use a hint.Report a problem
The given expression is 3 x (5-2)-1
From the options
If Orlando has 5 actions figures.
He decides to give 2 of them to his younger brother, then he will have (5-2) action figures left
His parents were happy with him and tripled what he had left
3 x ( 5 -2 ) action figures.
If he had so many actions figures after that and he gave his brother 1 more action figure then he will have
3 x ( 5-2) - 1 action figures left.
The right answer is therefore option B
Hi may you please help me
The value of x is 85° when a pair of parallel lines intersects another pair of parallel lines.
According to the question,
We have the following information:
A pair of parallel lines intersects another pair of parallel lines.
We have a figure where an angle is given as 85°.
Now, the following theorems would be helpful in finding the value of x:
When a pair of parallel lines is intersected by another line then the sum of two consecutive interior angles is 180°. (1)
When a pair of parallel lines is intersected by another line then the alternate interior angles are equal. (2)
Vertically opposite angles are equal. (3)
(Now, we will refer to these theorems by the number given in the brackets.)
Now, by theorem 3, we have vertically opposite angle as 85°.
Now, its alternate interior angle will also be 85°.
Now, 85° and x° are vertically opposite angles.
So, by theorem 3, we have the value of x as 85°.
Hence, the value of x is 85°.
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Please help ASAP starting to fall behind! This equation really confuses me and if someone could help that would be amazing!
Given the function:
f(x) = x² - 4x - 2
Find the following values.
a) f(2)
f(2)=
b) f(4)
f(4)=
c) f(-3)
f(-3)=
The values of the functions is ,
(a) f(2) = -6
(b) f(4) = -2
(c) f(-3) = 19
In the question ,
it is given that the function is f(x) = x² - 4x - 2
we have to find the value of f(2) , f(4) , f(-3)
Part(a)
to find f(2) , we substitute x = 2 in the function
On substituting , we get
f(2) = 2² - 4*2 - 2
= 4 - 8 - 2
= 4 - 10
= -6
Part(b)
to find f(4) , we substitute x = 4 in the function f(x)
On substituting , we get
f(4) = 4² - 4*4 - 2
= 16 - 16 -2
= 0 - 2
= -2
Part(c)
to find f(-3) , we substitute x = -3 in the function
On substituting , we get
f(2) = (-3)² - 4*(-3) - 2
= 9 + 12 -2
= 9 + 10
= 19
Therefore , The values of the functions is , (a) f(2) = -6 , (b) f(4) = -2 , (c) f(-3) = 19
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w² = 32
W≈
Round to the nearest tenth as needed, us a common to separate answers as needed
Answer:
6 or 5.7
Step-by-step explanation:
w² = 32
w = root 32
w = 5.656854249
w = 6 or 5. 7
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
attempt 1 out of 2
Answer:
45%
Step-by-step explanation:
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
P (no bro / yes sis) = P(no bro) - P(sis and bro)
= 12/20 - 3/20
= 9/20
or 45%
Select the correct answer.
Which of the following represents a function?
A. The first graph
B. The second graph
C. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
D.
x -5 -1 9 8 -1
y 1 7 23 17 1
Answer:
The answer is to the question A
Answer:
Its B 100%
i took the test and got it right
k bye :):):):):):):)
Step-by-step explanation:
what is the Pythagorean Theorem equation for this right angle 25, 24 and 7?
The equation of the Pythagorean Theorem in the triangle is 25^2 = 24^2 + 7^2
How to determine the Pythagorean Theorem equation?From the question, the side lengths of the triangle are given as
25, 24 and 7
The Pythagorean Theorem states that:
Hypotenuse^2 = Sum of the squares of the other sides
Where
The other sides are the smaller sides
This in other words mean that:
Other sides = 24 and 7
Hypotenuse = 25
Substitute the known values in the above equation
25^2 = 24^2 + 7^2
Hence, the Pythagorean Theorem equation is 25^2 = 24^2 + 7^2
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Kamala is reading about her favorite superhero, Captain Marvel. She would like to read at least 235 pages in one week. She has already read 25 pages. How many pages does Kamala need to read each day?
The number of pages that Kamala needs to reach each day is p ≥ 30.
What is the number of pages that Kamala needs to read?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe inequality sign that would be used is ≥. This is because the pages Kamala needs to read each day can be equal to 235 or greater than 235
25 + 7p ≥ 235
Combine similar terms: 7p ≥ 235 - 25
Add similar terms: 7p ≥ 210
Divide both sides of the equation by 7: p ≥ 210 / 7
p ≥ 30
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WILL GIVE BRIANLSIT AND EXTRA POINTS TO BEST ANSWER!! HELP
Eva wants to buy a bicycle.
.The bicycle costs $250.
Eva already has $125 saved.
She plans on washing cars for $25 per car.
Ereed wash c cars to have enough to purchase the bicycle.
Select the 3 orrect equations below that can be used to represent when she will be able to purchase the bicycle she wants
The correct equations which can be used to represent when she will be able to purchase the bicycle she wants are:
250 = 125+25c125 = 25cc = 5Given, Eva wants to buy a bicycle.
The cost of bicycle is = $250
Saving's of Eva = $125
Eva plans on washing cars for $25 per car.
Eva wash 'c' cars to have enough to purchase the bicycle.
cost of bicycle = saving's of Eva + Eva washing 'c' cars for $25 per car.
⇒ 250 = 125 + 25c
arrange the like terms on one side.
⇒ 250 - 125 = 25c
⇒ 125 = 25c
⇒ 25c = 125
⇒ c = 125/25
⇒ c = 5
hence Eva washes 5 cars to earn $125 which gets added to the savings and becomes the cost of the bicycle she wants to purchase.
⇒ cost of bicycle = 125+25(5)
⇒ cost of bicycle = 125+125
⇒ cost of bicycle = $250
Hence we got the required answers.
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Julia just let a new candle and then let it burn all the way down to nothing. The candle
burned at a rate of 0.75 inches per hour and its initial length was 9 inches. Write an
equation for L, in terms of t, representing the length of the candle remaining
unburned, in inches, t hours after the candle was lit.
L=
Answer: L= 9-.75x
Step-by-step explanation: since it starts at 9 inches tall and is melting at .75 inches per hour, it's going to be the initial length, 9, minus the rate, .75, times the time/hours past, so x
Eric has 23 cookies, but she ate 19 cookies,
How many does eat cookies left.
(100 POINTS)
Answer: 23 - 19 = 4
Step-by-step explanation:
Answer:
how many does eat cookies left??? what
Step-by-step explanation:
anyway, it should be 4 cookies i guess?
23 - 19 = 4
...unless this is like a trick question with bad grammar
Analysis questions: 1. Find the slope of the line that goes through donuts 1-12. Find the slope of the line that goes from donuts 13-25. Are they the same or not?| 2. What if we only buy in amounts of baker's dozens? Is there a line for those? What points are on this line? What is the slope? 3. How much money do you save with the baker's dozen deal on 30 donuts? Where can this amount be seen on the graph?
1. Find the slope of the line that goes through donuts 1-12.
take the points
(1, 1.05) and (2, 2.10)
m=(2.10-1.05)/(2-1)
m=1.05/1
m=1.05
Find the slope of the line that goes from donuts 13-25
take the points
(14,14.05) and (15, 15.10)
m=(15.10-14.05)/(15-14)
m=1.05/1
m=1.05
so
The slope is the same
2. What if we only buy in amounts of baker's dozens? Is there a line for those? What points are on this line? What is the slope?
the points are
(13,13.00) and (24,24.55)
m=(24.55-13.00)/(24-13)
m=11.55/11
m=1.05
the equation in point slope form is
m=1.05
(x1,y1)=13,13)
y-13=(1.05)(x-13)
y-13=1.05x-13.65
y=1.05x-0.65
For x=30 donuts
y=1.05(30)-0.65
y=30.85
therefore
Do you save $0.65
What is 25% of 130? Round to one decimal place ___________
Answer:
32.5
Step-by-step explanation:
What is 25% of 130?
0.25 * 130 = 32.5
1. Given the function g(x)=(x-4)² + 3
I’ve been asked to graph the function but they gave me no reference points to be able to find my corresponding points how do I find them with just the function?
There is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above. The graph is attached in the end.
What is a function?A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. For example -
f(x) = 2x + 5
g(x) = 4x + 9
Given is function g(x) = (x - 4)² + 3
There is no need of any reference points to graph this function. You can take the reference points in a specific range. For example, you can plot the graph for the values of [x] from x = -5 to x = 5. It can be noticed that we have taken 5 - 5 points on both sides of the [x] axis. Make sure that you ensure this symmetry. Range could be any, for example from x = - 7 to 7, x = - 10 to 10 etc. The given function is -
g(x) = (x - 4)² + 3
We will plot the graph for x = -3 to x = 3
g(-3) = 52
g(-2) = 39
g(-1) = 28
g(0) = 19
g(1) = 12
g(2) = 7
g(3) = 4
Now, we will plot these coordinates on the graph. The plotted graph is attached with the answer.
Therefore, we can conclude that, there is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above.
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a linear function has the rule shown
input: a number
output: 8 less than 3 times x
which equation represents this rule
(100 POINTS!!!)
Change 6.3 kg to grams pls it's urgent
Answer:
6,300 grams
Step-by-step explanation:
kg to g is multiply by 1,000
Answer:
Step-by-step explanation:
630%
What is the smallest integer greater than 800 that is relatively prime to 10!
The smallest integer greater than 800 that is relatively prime to 10! is 801
How to determine the number greater than 800 that is relatively prime to 10!The term relatively prime refers to numbers who has a greatest common factor of 1. If two numbers have a greatest common factor of 1 the two numbers are said to be relatively prime
solving for 10!
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
= 362880
prime factorization of 10!
= 2^7 * 3^4 * 5 * 7
prime factorization of 801
= 3^2 * 89
The greatest common factor of both numbers is 1, this is not included to the factors in the prime factorization but 1 is a known common factor already.
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Explain what is 20 divided by 5/3 show work
Answer:
12
Step-by-step explanation:
3 3 Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost 2 pounds less than 2 times the pounds 3 he lost the first week. The third week, he lost 1 pound more than ã of the pounds he lost the first week. 3 Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than 2 times the pounds Luke lost the first 5 week. The second week, he lost 4 pounds less than 2 times the pounds Luke lost the first week. The third week, he lost 2 pound more 5 than 3 times the pounds Luke lost the first week. Assuming they both lost the same number of pounds over the three weeks, complete the following sentences. 4 pounds 6 pounds 21 4 2 pounds 13 - 40Luke started a weight loss program the first week he lost X pounds the second week he lost 3/2 pounds less than 3/2 times the pounds he lost the first week the third week he lost 1 pound more than three-fourths of the Pouncey lost the first week
We know that Luke lost x pounds the first week.
We also know that the second week 3/2 less than 3/2 times the pounds he lost the first week, this means that the secons week he lost:
[tex]\frac{3}{2}x-\frac{3}{2}[/tex]Finally the third week he lost 1 pound more than 3/4 of the pounds he lost the first week. This can be written as:
[tex]\frac{3}{4}x+1[/tex]Hence luke lost a total of:
[tex]x+\frac{3}{2}x-\frac{3}{2}+\frac{3}{4}x+1=\frac{13}{4}x-\frac{1}{2}[/tex]Therefore the expression for Luke's weight loss is:
[tex]\frac{13}{4}x-\frac{1}{2}[/tex]Liam lost the first week 1 pound less than 3/2 times the loss Luke had the first week this can be express as:
[tex]\frac{3}{2}x-1[/tex]The second week he lost 4 pounds less than 5/2 times the loss of Luke the firs week then we have:
[tex]\frac{5}{2}x-4[/tex]Finally Liam lost 1/2 pound more than 5/4 times the loss of Luke the first week, then:
[tex]\frac{5}{4}x+\frac{1}{2}[/tex]Adding this we have:
[tex]\frac{3}{2}x-1+\frac{5}{2}x-4+\frac{5}{4}x+\frac{1}{2}=\frac{21}{4}x-\frac{9}{2}[/tex]Therefore Liam's expression is:
[tex]\frac{21}{4}x-\frac{9}{2}[/tex]Now, we know that both of them lost the same weight, then we have the equation:
[tex]\frac{13}{4}x-\frac{1}{2}=\frac{21}{4}x-\frac{9}{2}[/tex]Solving for x we have:
[tex]\begin{gathered} \frac{13}{4}x-\frac{1}{2}=\frac{21}{4}x-\frac{9}{2} \\ \frac{21}{4}x-\frac{13}{4}x=\frac{9}{2}-\frac{1}{2} \\ \frac{8}{4}x=4 \\ x=\frac{4}{\frac{8}{4}} \\ x=2 \end{gathered}[/tex]Therefore Luke lost 2 pound the first week.
Finally we plug the value of x in the expression for Luke's weight loss to get the total amount over the three weeks:
[tex]\begin{gathered} \frac{13}{4}(2)-\frac{1}{2}=\frac{13}{2}-\frac{1}{2} \\ =\frac{12}{2} \\ =6 \end{gathered}[/tex]Therefore they lost 6 pounds in three weeks.
a package boodins weighs 6.2 ounces. A package of rews weighs 9.97 ounces. how much more does a package of rews weigh than a package of boondins
Based on the package of boondins and the package of rews, the package of rews will have a weight in relation to the package of boondins that is 3.77 ounces
How to find the different in weights?To find how much more that the package of rews weighs over the boondins, deduct the weight of the package of boondins from the weight of a package of rews.
Weight of package of rews = 9.97 ounces
Weight of package of boondins = 6.2 ounces
The difference in the weight of the packages is:
= 9.97 - 6.2
= 3.77 ounces
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The required difference in the package of the bodies and rews is 3.77 ounces.
As per the given in the question,
boudin is 6.2 ounces in weight and rews are 9.97 ounces in weight.
here,
As per observation, rews weighs more than bodies, and the difference between their weights is simply evaluated from the subtraction between the weight. So,
Weigh difference = weigh of rews - weigh of boodins
Substitute the value in the above equation,
Weigh difference = 9.97 - 6.2 = 3.77.
Thus, the required difference in the package of the bodies and rews is 3.77 ounces.
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