Answer:
Step-by-step explanation:
PYTHAGORAS
work out the side of b.
give your answers to one decimal place
Answer:
12 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = 12 cm
c = 17 cm
Step 2: Solve for b
Substitute in variables [Pythagorean Theorem]: 12² + b² = 17²Evaluate exponents: 144 + b² = 289[Subtraction Property of Equality] Subtract 144 on both sides: b² = 145[Equality Property] Square root both sides: b = √145[√Radical] Evaluate: b = 12.0416Round: b ≈ 12.0You have $45 to spend on notebooks and each one costs $5.
Write an inequality for the possible number of notebooks you
could buy, then find out the maximum number of notebooks
you could buy.
notebooks
Answer:
9notebooks
Step-by-step explanation:
5×y≤45( where y is number of notebooks)
$5=1notebook
$45=$45/$5x1
=9
therefore, you'll be able to buy nine notebooks with$45
Answer:
$5n = $45
n = 9
Step-by-step explanation:
Let n represent the amount of notebooks
$5n = $45
Divide each side by 5
$5n/5 = $45/5
n = 9
so the maximum number of notebooks you can buy is 9
A cosmetics salesman earns a basic wage of $2000 per month plus 10% commission on all sales he makes. Calculate his total wage for the month when he sold $89,000 worth of cosmetics.
The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 9 vans and 14 buses with 710 students. High School B rented and filled 13 vans and 5 buses with 371 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answer:
Buses - 43 people
Vans - 12 people
A man at ground level measures the angle of elevation to the top of the building to
be 87°. If at this point, he is 20 meters away from the building, what is the height of
the building?
Answer:
The bulding is 381,623 meters high.
Step-by-step explanation:
To dertermine the height of the bulding I would use tanα = rectangulair side / closest rectangulair side.
19,08 = the height/ 20m.
<=> 19,08.20m= the height = 381,623 m
Find the common ratio of the geometric sequence − 1 , − 9 , − 81 ,
Step-by-step explanation:
everything can be found in the picture
The two sets of lines are parallel. If the measure of angle A is 110°, what is the measure of angle B?
Answer:
Sum of 2 interior angles =180
1 angle+70=180
Another angle=110
Step-by-step explanation:
how do I find angle 1?
Answer:
60º
Step-by-step explanation:
The two triangles on the left are equilateral as the sides are all conguent.
The angles of an equilateral triangle are all 60º
Therefor the two angles to the left of angle 1 are both 60º for a combined value of 120º
Angle 1 must be 180 - 120 = 60º
To find angle 1, you have to add all adjacent angles, which equal 180°
A random sample of 50 male employees is taken at the end of a year and the mean
number of hours of absenteeism for the years is found to be 63 hours. A similar sample of
50 female employees has mean of 66 hours. Could these samples be drawn from a
population with the same mean and standard deviation 10 hours?
Answer:
Yes the samples can be drawn from a population with the same mean and standard deviation 10 hours
Step-by-step explanation:
We are given;
Sample mean for male employees; x1¯ = 63
Sample mean for female employees; x2¯ = 66
Sample size = 50
Standard deviation; σ = 10
First,let's define the hypotheses of the question;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 ≠ μ2
Now, let's find the test statistic from the formula;
z = (x1¯ - x2¯)/(σ√(2/n))
Thus;
z = (63 - 66)/(10√(2/50))
z = -3/2 = - 1.5
Now, we are not given the significance value but usually when it is not given, we can adopt α = 0.05.
Thus, from online p-value from z-score calculator using; z = -1.5; α = 0.05; two tailed test; we have;
p-value = 0.13364
The p-value is greater than the significance value and thus we will fial to reject the null hypothesis and conclude that these samples can be drawn from a population with the same mean and standard deviation
PLEASE HELP ASAP Determine the period.
Daryl invested $2,200 for 3 years. He received interest of $264. What was the interest rate?
Answer:
4%
Step-by-step explanation:
264 interest/3 years=88 interest/year
principal x interest rate =interest/year
2200 x interest rate =88
interest rate =88/2200
interest rate =.04 or 4%
ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=3). write your answer as a fraction.
Given:
The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed.
To find:
The probability [tex]P(T=3)[/tex].
Solution:
In the given table T represents the number of tails.
From the given table it is clear that the value of probability is [tex]\dfrac{1}{8}[/tex] and [tex]T=3[/tex]. So,
[tex]P(T=3)=\dfrac{1}{8}[/tex]
Therefore, the probability [tex]P(T=3)[/tex] is equal to [tex]\dfrac{1}{8}[/tex].
examples of addition of three fractions ( between 0-1) with a common denominator. IN STEPS ALL WORK, I need two examples.
Answer:
1/6 + 2/6 + 3/6 = 6/6 = 1
1/7 + 2/7 + 4/7 = 7/7 = 1
1/8 + 2/8 + 3/8 = 6/8 = 0.75
1/9 + 2/9 + 3/9 = 6/9 = 2/3 = 0.66 (repeater dot above first 6)
1/10 + 2/10 + 3/10 = 6/10 = 3/5 = 0.6
1/12 + 2/12 + 3/12 = 6/12 = 1/2 = 0.5
All numerators in consecutive form 1, 2, 3 adds up to 6
Where 7/7 as a numerator is easier to work with than 6/7 as 6/7 does not leave a whole number as easy as 7/7 does leave whole number = 1.
We notice just 8 and 9 does not leave to 1 decimal point when adding the first consecutive numerators of that whole.
Where 10.and 12 does leave to 1dp as these numbers are not prime numbers like co prime numbers 7 and 11.
Step-by-step explanation:
A scientist is conducting an experiment on two types of bacteria to determine which type will grow faster in a pool. After collecting data for two weeks, she finds that she can model the growth rates as follows:
Bacteria 1: y = 4x
Bacteria 2: y = 4x2
In these models, y represents the number of bacteria colonies and x represents the number of hours.
Based on these models, which type of bacteria is growing faster?
Answer:
bacteria 1
Step-by-step explanation:
i got it right
A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a year’s time?
Give your answer as a whole number.
ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
87 gallons
Step-by-step explanation:
5 gallons: 3 weeks = x gallons: 52 weeks
5/3 = x/52
3x = 260
x= 86.6, about 87 gallons
2x-4=20
Please fast with steps !
Answer:
x=12
hope it will helpful to you
There are 9 students in a class: 7 boys and 2 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?
Answer: 9/7
Step-by-step explanation:
Answer this question to receive 10 points
Answer:
153.86.
Step-by-step explanation:
Use the formula pi times radius squared.
Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.
Carpeted Un-Carpeted
15.9 8.1 15 7.2 10.4 6.1
11.2 16 11.2 6.8 11.3 6.8
8.6 10 12.1 6.3
Requried:
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.
Answer:
The null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:
H[tex]_{0}[/tex]: μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].
H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
Step-by-step explanation:
In the question, the given assertion is that carpeted rooms have more bacteria than uncarpeted rooms, i.e. μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
The assertion made in the question can either be the null hypothesis (H[tex]_{0}[/tex]) or the alternate hypothesis (H[tex]_{1}[/tex]). An equality must be present in the null hypothesis. The alternative hypothesis expresses the exact opposite of the null hypothesis if the claim is the null hypothesis.
Therefore, the null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:
H[tex]_{0}[/tex]: μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].
H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
Hi pls helppppppppppp
Answer:
it could only accomplish it's goal on Friday
Step-by-step explanation:
all you had to do was multiply 8 with the number of people and 2 with the number of tickets on each day and add them together to see if it was more than 1650. it was only more on Friday
A corollary needs which of the following geometric terms to be proven true?
A. Theorem
B. Identity
C. Common notion
D. Inverse
Answer:
B. Identity
Step-by-step explanation:
how many kilometers are there in 9000000cm
Answer:
90 kilometers
Step-by-step explanation:
https://www.bing.com/search?q=kilometers+are+there+in+9000000cm
Can someone please answer this please
Answer: I don't know but i have the formula.
Step by Step: [tex]A=\frac{1}{2}b h[/tex]
The missing number in the sequence 2, 5, 10, ?, 26, 37 is .........?
Answer:
17.
Step-by-step explanation:
The differences form an arithmetic sequence 3, 5, 7, 9,,11.
The missing number is 10 + 7 = 17.
This is a quadratic sequence.
The nth term = n^2 + 1.
Thus the 4th term = 4^2 + 1 = 17.
Lydiagrace33
Image attached
A) 1 point Write an inequality for this graph . Use the shift key and the key or key to type the < or > symbol . *
B) Water boils when the temperature is at least 212 degrees F. Which inequality shows this situation ?
C) When the temperature drops below 50 degrees F , crickets usually stop chirping . Which inequality shows this situation ?
D) Explain the difference between the meaning of a closed
circle and an open circle on a graph of an inequality .
Two expressions of the equation
Step-by-step explanation:
let the expression of the equation be :
x+y=0
x²+y²= 5
hope it is helpful to you
Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5
Answer:
(2,1)
Step-by-step explanation:
-3x + 7 = -2x + 5
x = 2
y = -6 + 7
y = 1
Answer:
(2,1)
Step-by-step explanation:
Remark
One thing you need to remind yourself of: The y value in both equations must be the same.
That means that the two right hand values are
-3x + 7 = - 2x + 5 Subtract 5 from both sides.
-5 -5
-3x + 2 = - 2x Add 3x to both sides
+3x +3x
2 = x
Now use one of the equations to solve for y
y = -2x + 5
y = -2(2) + 5
y = - 4 + 5
y = 1
We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.
HELPP PLSS ILL MARK BRIANLIEST
Answer:
128cm
Step-by-step explanation:
Your Welcome :)
Ahmed can 8 1/3 km in one hour. how much distance will he cover in 2 2/5
Answer:
In 2 2/5 hours, he will cover 20 km.
Step-by-step explanation:
Given that,
Ahmed can 8 1/3 km in one hour.
We need to find the distance he cover in 2 2/5 h.
In 1 hour = 8 1/3 km = 25/3 km
2 2/5 hour means 12/5 hour
In 12/5 hour = 12/5 × 25/3 km
= 20 km
So, in 2 2/5 hours, he will cover 20 km.
Find the slope and recept of the line Y=7/5x-3
Answer:
The slope 7/5 and the y intercept is -3
Step-by-step explanation:
Y=7/5x-3
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope 7/5 and the y intercept is -3