Let the largest angle in a triangle be x .
Then :-
The smallest angle :-
[tex] \frac{1}{3} x[/tex]
The third angle :-
[tex] \frac{2}{3} x[/tex]
Let us find the measure of the three angles .
Sum of all angles in the interior of a triangle = 180°
An equation to find the value of each angle :-
[tex]x + \frac{1}{3} x + \frac{2}{3} x = 180[/tex]
[tex]x + \frac{3}{3} x = 180[/tex]
[tex]x + \frac{1}{1} x = 180[/tex]
[tex]x + 1x = 180[/tex]
[tex]x + x = 180[/tex]
[tex]2x = 180[/tex]
[tex]x = \frac{180}{2} [/tex]
[tex]x = 90[/tex]
Which means :-
Measure of the largest angle = 90°
Measure of the smallest angle :-
[tex] \frac{1}{3} \times 90[/tex]
[tex] = 30°[/tex]
Measure of the third angle :-
[tex] \frac{2}{3} \times 90[/tex]
[tex] = 60°[/tex]
Therefore :-The measure of the largest angle = 90°
The measure of the smallest angle = 30°
The measure of the third angle = 60°
Sabendo-se que 9 174 532 x 13 = 119 268 916, pode-se concluir que é divisível por 13 o número:
a) 119 268 903
b) 119 268 907
c) 119 268 911
d) 119 268 913
e) 119 268 923
Answer:
A
Step-by-step explanation:
Sabendo que 119 268 916 é divisível por 13, o número 119 268 903 também é divisível por 13.
Isso ocorre porque a diferença entre um múltiplo de um número e o próximo múltiplo de um número é esse próprio número.
Portanto, para encontrar outros múltiplos que são divisíveis por 13 dado o resultado na pergunta, podemos adicionar múltiplos menores de 13 ou subtrair múltiplos menores de 13 do número.
O que estamos dizendo é que o número - 13 ou mesmo -26 ou +39 daria outro múltiplo de 13. O que estamos dizendo é que chegaremos a um número que é divisível por 13 do outro número dado que o número que estamos adicionando ou subtrair do número é um múltiplo de 13.
Agora vamos verificar as opções, podemos ver que a diferença entre o número e a opção é 13 que, claro, é um múltiplo de 13.
Esta é a razão pela qual o número é a nossa resposta.
what ln(2)? i just dont get this can you also show works
Answer:
2
Step-by-step explanation:
Because its more than likely asking whats in side the parenthisis
Answer:
ln(2) = 0.6931
Step-by-step explanation:
"ln" stands for natural logarithm.
You can memorize the "ln" of some of the basic prime numbers.
ln(2) = 0.6931
ln(3) = 1.0986
ln(5) = 1.6094
Beest of Luck!
Equation: a math sentence that states two quantities are
It will have an
Rewrite as a simplified fraction.1. 6 =?
Answer:
1 3/5
Step-by-step explanation:
If an urn has 5 white balls 10 red balls and 6 green balls what is the probability that 4 randomly selected balls are all green?
Answer:
5+10+6=21
4/21 = ___
Step-by-step explanation:
The probability that 4 randomly selected balls are all green will be;
"4/21 ".
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
Given:
Number of white balls = 5
Number of red balls = 10
Number of green balls = 6
The Total number of balls = 21
Therefore, The probability that 4 randomly selected balls are all green will be;
= 4/21
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Two angles of a triangle measure 12 and 40. What is the third angle?
Answer:
The third angle is 128°.
Step-by-step explanation:
We need to remember that the sum of the 3 angles of a triangle is 180°, hence if we have 2 angles, the third angle is:
[tex] 180 = \alpha + \beta + \theta [/tex]
[tex] 180 = 12 + 40 + \theta [/tex]
[tex] \theta = 180 - 52 [/tex]
[tex] \theta = 128 [/tex]
Therefore, the third angle is 128°.
I hope it helps you!
Suppose a student usually gets 5.28 hours of sleep. A teacher wants the student to get 8 hours of sleep. What is the percent increase in the number of hours that the student will sleep? Round your answer to the nearest whole percent.
Answer:
52%
Step-by-step explanation:
Number of hours of sleep a student gets = 5.28hrs
A teacher wants the student to get = 8hrs of sleep
Unknown:
Percentage increase in the number of hours the student will sleep = ?
Solution:
Percentage increase = [tex]\frac{New sleep hours - former sleep hours}{former sleep hours}[/tex] x 100
Percentage increase = [tex]\frac{8 - 5.28}{5.28}[/tex] x 100 = 51.5%
Percentage increase = 52%
PLEASE HELP ASAP
Solve the following system of equations.
y = 5x – 3
y = x2 + 3x – 2
Question 4 options:
A)
(–1,8)
B)
(0,–3)
C)
(2,7)
D)
(1,2)
The Answer fam is......... D) (1,2)
The solution for the given system of equations as per linear and quadratic equation is (x, y) = (1, 2).
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
What is a quadratic equation?"A quadratic equation is an equation in which the highest power of the variable is always 2."
Given two linear equations are:
y = 5x – 3 (1)
y = x² + 3x – 2 (2)
Therefore, combining the two equations, we get:
5x - 3 = x² + 3x - 2
⇒ x² - 5x +3x - 2 + 3 = 0
⇒ x² - 2x + 1 = 0
⇒ (x)² - 2 × x × 1 + (1)² = 0
⇒ (x - 1)² = 0
⇒ (x - 1) = 0
⇒ x = 1
Now substituting the value of 'x' in the equation (1), we get:
y = 5 × 1 - 3
⇒ y = 2
Therefore, by solving the given two equations, we get: x = 1, y = 2.
Learn more about linear and quadratic equation here: https://brainly.com/question/26020597
#SPJ2
A college food court surveyed 325 students to see how many drink tea and how many drink coffee.
The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.)
-All students in the survey
(a) How many of the students drink coffee?
Drink
tea
Drink
coffee
0
students
94
77
56
(b) How many of the students drink tea or coffee (or both)?
. students
98
(c) How many of the students do not drink both tea and coffee?
students
Answer:
Add the 3 then subtract that from 325
you should know part B
Step-by-step explanation:
Write and equation of a line perpendicular to y=-5x+8 and passes through (10,4)
im not sure just yet
Show your work:
−15x = 0
Answer:
Step-by-step explanation:
-15x = x = 0/-15
x = 0
Step-by-step explanation:
-15x=0
-15x/-15=0/-15
x=0
-15(0)=0
Find area of the figure :)
768 square meters.
We can break it down into two shapes, a rectangle and a triangle.
Rectangle:
[tex]a = b \times h[/tex]
[tex]a = (48) \times (11)[/tex]
[tex]a = 528m^{2} [/tex]
Triangle:
[tex]a = \frac{b \times h}{2} [/tex]
[tex]a = \frac{(48) \times (10)}{2} [/tex]
[tex]a = \frac{480}{2} [/tex]
[tex]a = 240m^{2} [/tex]
Add them together:
[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]
Questo
The following group of values was entered into the TVM Solver of a graphing
calculator. N = 132; 1% = 7.8; PV = ; PMT = - 740; FV = 0; P/Y = 12; C/Y = 12;
PMT:END. Which of these expressions will return the same value for PV?
Answer: (740)((1+0.0065)^132-1)/(0.0065)(1+0.0065)^132
Step-by-step explanation:
The value of the present value of the given is 65440.1194.
We have given that,
The following group of values was entered into the TVM Solver of graphing.
calculator. N = 132; 1% = 7.8; PV = ; PMT = - 740; FV = 0; P/Y = 12; C/Y = 12;
What is the formula for present value?[tex]PV=FV/(1+i)^n[/tex]
[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]
[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]
[tex]=\frac{1000.40602\dots }{0.0065\cdot \:1.0065^{132}}[/tex]
[tex]=65440.11940[/tex]
Therefore, The value of the present value of the given is 65440.1194.
To learn more about the present value visit:
https://brainly.com/question/20813161
#SPJ2
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. .9588 c. With
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Population Mean wage (m) = $24.57
a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
The Null hypothesis : μ = 24.57
1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
Alternative hypothesis : μ ≠ 24.57
1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
Sample size (n) = 30
Sample mean (Sm) = 23.89
Population standard deviation (σ) = 2.40
Obtaining Z:
Z = (Sm - m) / σ/√n
Z = (23.89 - 24.57) / 2.40/√30
Z = - 0.68 / 0.4381780
Z = - 1.5518805
Using the online p value calculator from Zscore
P value = 0.121142
= 0.1211
What is the greatest whole number that rounds to 2, 100when rounded to the nearest hundred? The least whole number?
Answer:
i am pretty sure it would be 8
Step-by-step explanation:
when it rounds to 2 but also rounds to 100, 8 would be the best bet.
Graph the line y-3=-1/3(x+2)
Slope: 1/2
y-intercept(s): (0, 7/3)
x: 0, 7
y: 7/3, 0
Step-by-step explanation:
y=-3 -1/3(1+2)=2/3.3=1.3=3
y=3
Terry selected two cards. The sum of her card is -10. Can one of the cards be positive and the other be negative.
Anyone know how to do this? I’m stuck
What place value is the 5 in the following number, 123.465? earn 100 points!!!
Answer:
it will be in the thousands place for sure
Step-by-step explanation:
hope that helps =) i forgot there were a decimal point
Answer:
The place value of 5 in "123.465" is the thousandths
Step-by-step explanation:
The reason for this is because the "5" is 3 points behind the decimal, making it in the thousanths place.
Simply the radical square root 175
Answer:
[tex]5\sqrt{ 7[/tex]
Step-by-step explanation:
[tex]\sqrt{75} \\\\perfect squares: 1,25\\\\175/25 = 7\\\\\sqrt{25} = 5 \\\\[/tex]
Is my calculation for finding the measure of the angle is right?
Answer:
Yes
Step-by-step explanation:
There were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at mcneely’s farm
4/9
5/9
4/5
5/4
Answer:
4/5
Step-by-step explanation:
Can an opposite and an absolute value of an integer be the same?
Answer:
yes they can be the same
Step-by-step explanation:
yes
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 63% C: Scores below the top 37% and above the bottom 16% D: Scores below the top 84% and above the bottom 8% F: Bottom 8% of scores Scores on the test are normally distributed with a mean of 80.1 and a standard deviation of 7.2. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer: 88.56
Step-by-step explanation:
Given that:
Mean score (m) = 80.1
Standard deviation (s) = 7.2
Minimum score required to score A grade =?
A= Top 12% of scores
Zscore corresponding to top 12% = bottom 88%
Zscore = 1.175
Zscore = (x - mean) / s
1.175 = (x - 80.1) / 7.2
1.175 * 7.2 = x - 80.1
8.46 = x - 80.1
8.46 + 80.1 = x
x = 88.56
how many hours are there in 1 month if there are 31 days in a month. Will mark brainliest.
Answer:
744
Step-by-step explanation:
in one day there is 24 hours if you multiply 24*31 it will be 744hours in total .24*31=744so you multiply the amount of time with the amount of days :)hope you get it !please mark me brilliant if im rightthank you :3What is the value of the 1 in the number 1,546,702?
Answer:
Millions
Step-by-step explanation:
Answer:
one million
Step-by-step explanation:
Suppose a Hispanic Heritage festival is held in an area measuring 2,494 square yards. If the length of the festival is 58 yards, what is the width of the festival?
Answer: 43 yards.
Step-by-step explanation:
Let the shape of the area occupied for festival be rectangle.
and area of rectangle = length x width
Given: Area of the festival= 2,494 square yards.
Length of the festival= 58 yards
Then width = (Area )÷ (length)
= (2494)÷58 yards
= 43 yards
hence, the width of the festival = 43 yards.
Solve the inequality. 12x<-144
Answer:
Step-by-step explanation:
x=-12
Answer:
x= -12
Step-by-step explanation:
Find the value of each missing variable. y=
Step-by-step explanation:
29x - 3 + 15x + 7 = 180° because these two angles are supplementary
if we add like terms
44x + 4 = 180
44x = 176 divide both sides by 44
x = 4
29x - 3 = 13y - 17 because alternate exterior angles has same measurement
since we found the value of x let's rewrite the equation
4 × 29 - 3 = 13y - 17
113 = 13y - 17
130 = 13y divide both sides by 13
10 = y
-6(x+4) what this answer simplified.
Answer:
-6x-24
Step-by-step explanation:
all you have to do is multiply, so -6*x and -6*4 and since -24 is a negative the equation is going to be subtracting
Answer:
Step-by-step explanation:
