The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )
Meaning of congruent trianglesA triangle can be defined as a plain shape that has three sides and three angles.
Congruent triangles are triangles that satisfy one or more congruence postulates or laws. The triangles could either be similar based on their angles or sides or angles and side being similar.
In conclusion, The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )
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willams bought piece of woods that is 3 feet long.he cuts it in to two pieces.one piece is 14 in long how long is the other piece
Answer:
22 inches
Step-by-step explanation:
3 feet = 36 inches
36-14=22
The other half is 22 inches long
find the quantity if v=5i-7j and w=3i+2j ||v||-||w||
[tex]\begin{cases} v=5i-7j\\\\ w=3i+2j \end{cases}\qquad \begin{cases} < \stackrel{a}{5}~~,~~\stackrel{b}{-7} > \\\\ < \stackrel{a}{3}~~,~~\stackrel{b}{2} > \end{cases}\qquad \qquad \stackrel{magnitude}{\sqrt{a^2 + b^2}} \\\\[-0.35em] ~\dotfill\\\\ ||v||~~ - ~~||w||\implies \sqrt{5^2+(-7)^2}~~ - ~~\sqrt{3^2 + 2^2}\implies \sqrt{74}-\sqrt{13} ~~ \approx ~~ 5[/tex]
Please help I will mark Brainly
Volume of a cube with a side length of 18.8m
Answer:
[tex]6644.672~ m^3[/tex]
Step-by-step explanation:
[tex]\text{Volume} = (18.8)^3~ m^3 = 6644.672~ m^3[/tex]
Steve is a single man whose salary is $92,000 per year. Based on the tax table
below, how much does he need to contribute to his employer's 401(k) in order to
fall in a tax bracket lower than the one he is currently in?
The amount that he needs to contribute to his employer's 401(k) in order to fall in a tax bracket will be $9750.
How to calculate the tax?From the information given, Steve is a single man whose salary is $92,000 per year. Based on the tax table below, the amount that he needs to contribute to his employer's 401(k) in order to
fall in a tax bracket will be:
= $92000 - $82250
= $9750
Therefore, the amount is $9750
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Harper surveyed 800 of the students in her school about their favorite color. 424
students said their favorite color was blue. What percentage of the surveyed students
said their favorite color was blue?
Using it's concept, it is found that the percentage of students surveyed that said their favorite color was blue was of 53%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, 424 out of the 800 students surveyed said their favorite color was blue, hence the percentage is given by:
[tex]P = \frac{424}{800} \times 100\% = 53\%[/tex]
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You are trying to bulk and gain muscle. Your trainer says your daily calorie intake should increases based on hours you spend exercising and can be represented by the following equation: T=2000+500h.
a) T - Calories, 2000 - Minimum calories, 500 - Additional calories per exercise hour, b) We should consume 3500 calories to spend three hours exercising.
How to analyse a linear function of calorie gain in terms of the exercise time
In this question we have a linear function where the independent variable is the exercise time (h), in hours, and the dependent variable is the calorie gain (T), in calories. The constant "2000" is the minimum calorie consumption and the constant "500" represents the amount of additional calories per each hour of exercise.
Now we proceed to respond the questions of the part a):
(i) T - Amount of calories needed, (ii) 2000 - Minimum calorie consumption, (iii) 500 - Amount of additional calories per hour of exercise.
b) And lastly we calculate the amount of calories by evaluating the function:
T = 2000 + 500 · 3
T = 2000 + 1500
T = 3500
We should consume 3500 calories to spend three hours exercising.
Remark
The statement is incomplete, the complete form is shown below:
You are trying to bulk up and gain muscle. Your trainer says that your daily calorie intake should increase based on the hours you spend exercising and can be represented by the following equation: T = 2000 + 500 · h
a) What does each part of this expression represent? (i) T = , (ii) 2000, (iii) 500, (iv) h
b) If you spend 3 hours exercising, how many calories should you consume?
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Which expression is the simplest form of 4(3x + y) + 2(x - 5y) + x²?
A. x² +14x-9y
B. x² +14x-6y
C. x² + 13x-9y
D. x² + 14x-y
Answer: [tex]x^{2}+14x-6y[/tex]
Step-by-step explanation:
[tex]4(3x+y)+2(x-5y)+x^{2} \\ \\ 12x+4y+2x-10y+x^{2} \\ \\ \boxed{x^{2}+14x-6y}[/tex]
17.
select the correct answer
what is the equation of the problem shown with its focus on this graph?
Options are in photo!
Answer:
B
Step-by-step explanation:
In a school,The ratio of the number of boys to the number of girls is 8:5. One quarter of the boys and 1/15 of the girls wear glasses. When another 48 students who wear glasses join the school,the total number of students becomes 216. How many boys wore glasses at first?
Answer:
hi look here https://www.louisianabelieves.com/docs/default-source/assessment/grade-6-answer-key.pdf?sfvrsn=293b981f_2
Step-by-step explanation:
Segment AB with endpoints at A(6, 5) and B(6, 15) is partitioned by point P according to the ratio of 3:2. Find the coordinate of point P.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]
[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]
If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be ______ that when the population is not highly skewed a. different from b. the same as c. larger than d. smaller than
Answer:
2
Step-by-step explanation:
the same as...
(2) is the answer
If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be the same as that when the population is not highly skewed.
What is the central limit theorem?The central limit theorem states in probability theory that, in many instances, when independent random variables are added together, their correctly normalized sum tends toward a normal distribution, even if the original variables are not normally distributed.
If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be the same as that when the population is not highly skewed.
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2 over 5 of a bag of chips is in the cupboard. you eat 3 over 4 of what is left. how ,uch of the whole bag did you eat?
Answer:
3/10
Step-by-step explanation:
So you have 2/5 left in your cupboard. Say the amount of chips originally in your cupboard would be 30. 2/5 of 30 would be 12.
Then multiply 12 by 3/4 so it would be 3/4 of 12.
The result would be 9
9/30 = 3/10
this is complicated explanation
there are much easier explanations tho
What part of the circle below is highlighted in red?
A. Radius
OB. Chord
O C. Diameter
OD. Center
Hi Student!
Let's go through each of the options that were provided to the question stating what part of the circle was highlighted in red and talk about what they mean.
First off, radius is the distance from the outer line to the middle which perfectly incapsulates what the red line is. Therefore, the correct answer would be option A, Radius.
However, if you want to understand the rest of the definitions you can follow with the bullets provided.
Chord - This isn't a math termDiameter - This term is actually quite similar to that of radius but instead this is the length from one side of the outer line to the other side of the outer line. This would cause the diameter to be twice the length of the radius and so if we want to determine the radius using the diameter we can just divide it by 2Center - This just description the dot in the middle of the circleExplain how to easily decide whether x - 6 is a factor of the polynomial P(x) = x ^ 7 - 5x ^ 5 + 2x ^ 4 - x ^ 2 + 9 without performing long division .
[tex]\text{According to the factor theorem,}\\\\x-a~ \text{is a factor of}~ f(x)~ \text{if}~ f(a) = 0, ~ \text{where}~ a \in\mathbb{R}\\\\\text{Given that,}\\ \\P(x) = x^7 -5x^5 +2x^4 -x^2 +9\\\\P(6) = 6^7 -5\cdot 6^7 +2 \cdot 6^4 -6^2 +9 = 243621 \neq 0\\\\\text{Since} ~ P(6)\neq 0~, ~ x -6 ~ \text{is not a factor of P(x).}[/tex]
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 10 hours. How long will it take to fill the vat if both pipes are left open?
The time it will take to fill the vat if both pipes are left open is = 4.3 hours
Calculation of time taken to fill vatThe number of pipes a vat has = 2
The time it takes the inlet pipe to fill the vat = 3hrs
The time it takes the outlet pipe to empty the vat= 10hrs
Therefore, the time it will take to fill the vat if both pipes are left open is;
1/t = 1/3-1/10
1/t = 7/30
Make t the subject of formula,
t = 30/7
t= 4.3 hours
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Given that tan^2 theta=3/8,what is the value of sec theta?
Answer:
Sqrt (11/8)
Step-by-step explanation:
Sec^2 - Tan^2 = 1
- Tan^2 = 1 - Sec^2
Tan^2 = -1 + Sec^2
Tan^2 = 3/8
3/8 = -1 + Sec^2 Theta
1 + 3/8 = Sec ^2 Theta
11/8 = Sec^2 Theta
Sqrt ( 11/8) = Sec of theta
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
The function fis defined as follows.
f(x)=2x²+3
If the graph of fis translated vertically downward by 6 units, it becomes the graph of a function g.
Find the expression for g(x).
The expression of the translated function g(x) is gotten as; g(x) = 2x² - 3
How to Interpret Graph Translations?
We are given the function;
f(x) = 2x² + 3
Now, when we translate a function f(x) downwards, the new function becomes;
g(x) = f(x) - a
where a is the amount of units by which the graph was translated.
Thus for translation of 6 units vertically downwards;
g(x) = 2x² + 3 - 6
g(x) = 2x² - 3
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Solve for x in the triangle. Round your answer to the nearest tenth.
X
5
22°
Pls help me I need answers in summer school teachers won’t help!!
Answer:
21. x = 18.1
22. x =28.7
Step-by-step explanation:
SOH = sin(theta) = opp/hyp
CAH = cos(theta) = adj/hyp
TOA = sin(theta) = opp/adj
21. You would be using tangent.
tan(theta) = Opp/Adj
tan(32°) = x/29
x = 29 * tan(32°)
x = 18.1
22. You would be using cosine
cos(theta) = Adj/Hyp
cos(43°) = 21/x
x * cos(43°) = 21
x = 21 / cos(43°)
x = 28.7
Use a Calculator to help you solve for those side lengths or degrees.
If you were to search of SOHCAHTOA online and find an image you would be able to see their example problem done using
SOHCAHTOAI am not sure if I am allowed to use an online example image since I got warned for some reason without explanation to the warning.
Determine a matriz x sabendo que:
(1 5) * X ( 6 8)
Answer:
es esta 1/5 y 6/8 o 15 y 68?
Determine the value of x using a trigonometric
ratio. Image below with answers.
This is an identity used to determine the measure of sides and angles of a triangles. The value of x from the given diagram is 7.18 units
Trigonometry identityThis is an identity used to determine the measure of sides and angles of a triangles
From the given triangle
Opposite = 5.5
Hypotenuse = x
According to the theorem
sin 50 = 5.5/H
x = 5.5/sin50
x = 7.18units
Hence the value of x from the given diagram is 7.18 units
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i need help on my diagnostic
pleases
Answer:
4th one is correct
Step-by-step explanation:
it perfectly matches all the given condition
0.00002165 in scientific notation.
Answer:
2.165 × 10⁻⁵
Step-by-step explanation:
Move the decimal -5 places to the right. For every scientific notation, 10 is the default number you are multiplying the decimal by. The exponent is the number of places you moved the decimal point. The exponent is positive when moving left, negative when moving right.
Hope it helps!
The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7. Determine the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet.
Answer:
534
Step-by-step explanation:
Lawrence needs to be at his job by 5:00 p.m.
It takes him 20 minutes to ride his bike to his job, 30 minutes to eat dinner, and 45 minutes to do his homework.
Which time does he need to start his homework?
A.
3:00 p.m.
B.
3:25 p.m.
C.
3:35 p.m.
D.
4:20 p.m.
Answer:
B. 3.25 p.m.
Step-by-step explanation:
[tex]20 + 30 + 45 = 96 \: minutes \\ 95 \: minutes \: = 60 \: minutes + 35 \: minutes \\ 95 \: minutes \: = 1 \: hour \: 35 \: minutes\\ 5.00 \: p.m. - 1 \: hour \: 35 \: minutes = 3.25 \: p.m.[/tex]
what is the volume of the rectangular prism each is 1/3
Answer:
The answer is 7
Step-by-step explanation:
To find the volume you multiply the width, height, and the length.
Length= 7/3
width= 3/3
height= 9/3
When you multiply you then have to simplify which is 7/1 or 7.
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Suppose that 50% of all babies born in a particular hospital are boys. If 6 babies born in the hospital are randomly selected, what is the probability that fewer than 3 of them are boys?
Using the binomial distribution, it is found that there is a 0.3438 = 34.38% probability that fewer than 3 of them are boys.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, the values of the parameters are given as follows:
n = 6, p = 0.5.
The probability that fewer than 3 of them are boys is given by:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.5)^{0}.(0.5)^{6} = 0.0156[/tex]
[tex]P(X = 1) = C_{6,1}.(0.5)^{1}.(0.5)^{5} = 0.0938[/tex]
[tex]P(X = 2) = C_{6,2}.(0.5)^{2}.(0.5)^{4} = 0.2344[/tex]
Then:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0156 + 0.0938 + 0.2344 = 0.3438[/tex]
0.3438 = 34.38% probability that fewer than 3 of them are boys.
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This is Raoul’s solution for the equation x^2-6x-27=0:
STEP 1: x^2-6x-27=0
STEP 2: x^2-6x-27+27=0+27
STEP 3: x^2-6x+?=27+?
STEP 4: x^2-6x+9=27+9
STEP 5: 〖(x-3)〗^2=36
STEP 6: √[(x-3)^2]=√36
STEP 7a: x-3=36
STEP 8a: x=39
STEP 7b: x-3=-36
STEP 8b: x=-33
The solution to the Raoul's equation x² - 6x - 27 = 0 is x = 9; or x = -3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
x² - 6x - 27 = 0
Adding 27 to both sides:
x² - 6x - 27 + 27 = 0 + 27
x² - 6x = 27
Adding to both sides the square of half the coefficient of x, that is 9:
x² - 6x + 9 = 27 + 9
(x - 3)² = 36
taking square root of both sides:
√(x - 3)² = √36
x - 3 = ±6
x = 3 ± 6
x = 3 + 6 or; x = 3 - 6
x = 9; or x = -3
The solution to the Raoul's equation x² - 6x - 27 = 0 is x = 9; or x = -3
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Scientist want to estimate the population of a particular species of snake.
They collect a sample population of 20 snakes and mark them with tags.
After a few months they catch 120 snakes, 17 of which are marked with
tags. What is the best estimate of the total population of snakes?
Answer:
the answer is yuo 4utvnjj
Answer:
Step-by-step explanation
Answer= 224
x=224
190x20=3,800/17=223.529412 (make sure to round up)
224