Using the Pythagorean theorem:
6^2 = 5^2 + x^2
Simplify:
36 = 25 +x^2
Subtract 25 from both sides:
11 = x^2
Square root of both sides:
x = sqrt(11) (exact) or 3.316625 as a decimal
What is the slope of the line that passes through the points (4, 3) and (1, -5)?
Answer:
y = − x +1
Step-by-step explanation:
The equation of the line having slope of
−
1
, passing through point
(
4
,
−
3
)
is
y
−
y
1
=
m
(
x
−
x
1
)
or
y
+
3
=
−
1
(
x
−
4
)
or
y
=
−
x
+
1
[Ans]
Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their ages. How much do they each receive?
Answer:
[tex]Aaron=1188[/tex]
[tex]Beth=1782[/tex]
[tex]Charlie=2970[/tex]
Step-by-step explanation:
From the question we are told that
Ratio 6:9:15
Total amount to e shared N=£5940
Generally the Ratio can divide the Total amount mathematically as follows
Ratio
6:9:15/3=2:3:5
Sum of ratio
2+3+5=10
For Aaron
[tex]A=\frac{2}{10} *5940[/tex]
[tex]A=1188[/tex]
For Beth
[tex]B=\frac{3}{10} *5940[/tex]
[tex]B=1782[/tex]
For Charlie
[tex]C=\frac{2}{10} *5940[/tex]
[tex]C=2970[/tex]
Check answer
[tex]A+B+C=5940\\1188+1782+2970=5940[/tex]
A 6th grade math teacher can grade 15 homework assignments in 24 minutes. If he works at the same rate, how long should it take him to grade 36 homework assignments? [Type your answer as a decimal number.]
Answer:
its 57.6
Step-by-step explanation:
Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
Plot the point and graph the quadrilateral.
Answer:
Step-by-step explanation:
There is really no way to show that of I know of without drawing it but here is this. I hope this helps and not really exact on position but that is very close.
Suppose you flip a coin 100 times, with 53 tosses landing heads up. What percentage of the tosses would be tails?
Answer:
47%
Step-by-step explanation:
47/100= 0.47
The temperature outside was 4 degrees Celsius in the morning. It has fallen by 8 degrees. What is the temperature?
Answer:
-4 degrees
Step-by-step explanation:
4 - 8 = -4
Answer:
-4 Celsius
Step-by-step explanation:
3 Serafina is solving a number puzzle that involves three integers, e, f, and g,
where e is negative. The product of e and fis – 15. The product of e and g
is 6. The product of fand g is – 10. What are the values of e, f, and g?
Show your work.
Answer:
19 maybe?
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
Answer:
C
Step-by-step explanation:
The terms are being added together, therefore you must be looking for the sum. The answer C is the only one that represents this. It shows all three terms being added together, without then performing another operation after the addition.
Answer:
C
Step-by-step explanation:
The sum of x², 7x and 2 is the same as saying x²+7x+2
Find the volume of the solid generated by revolving the shaded region about the X-axis. Y y = sin x cos x
Answer:
hello your question is incomplete attached below is the complete question
answer; [tex]\frac{\pi ^{2} }{16}[/tex]
Step-by-step explanation:
attached below is a detailed solution to the given question above
where :
cos 2x = 1-2sin^2x
cos2x = 2 cos^2x -1
sin^2 2x + cos^2 2x = 1
1-cos^2 2x = sin^2 2x
Answer:
[tex]\mathbf{ Volume (V) = \dfrac{\pi^2}{16} }[/tex]
Step-by-step explanation:
[tex]y = sin x .cos x \\ \\ A(x) = \pi [ sin \ x * cos \ x]^2[/tex]
[tex]= \pi sin^2 x* cos ^2x[/tex]
[tex]Volume (V) = \int ^{\pi/2}_{0} \pi \ sin^2 x \ cos^2x \ . dx[/tex]
[tex]=\pi \int ^{\pi/2}_{0} \Bigg [ \dfrac{1-cos \ 2x}{2} \times \dfrac{1 + cos \ 2x}{2} \Bigg ] \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} \ [1 - cos^2 \ 2x] \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} sin ^2 2x \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} \ \dfrac{1-cos \ 4x}{2} \ . dx[/tex]
[tex]=\dfrac{\pi}{8} \int ^{\pi/2}_{0} \ (1-cos \ 4x) \ . dx[/tex]
[tex]=\dfrac{\pi}{8} \Bigg [x - \dfrac{sin \ 4x}{4} \Bigg]^{\pi/2}_{0}[/tex]
[tex]=\dfrac{\pi}{8} \Bigg [(\dfrac{\pi}{2} -0)-0 \Bigg][/tex]
[tex]\mathbf{ =\dfrac{\pi^2}{16} }[/tex]
Samantha is collecting quarters for a school fundraiser. She wants to wrap what she has already collected into coin rolls. Each coin roll holds 40 quarters. If Samantha has 479 quarters, how many coin rolls will she need?
Answer:12
Step-by-step explanation:
Given
Each coin roll can hold 40 quarters
There are a total of 479 quarters
So, no of coin roll [tex]=\dfrac{\text{Total quarters}}{\text{Holding capacity of each coin roll}}[/tex]
[tex]\Rightarrow \frac{479}{40}=11.975[/tex]
As no of coin rolls cannot be in decimal
[tex]\therefore[/tex] there are 12 coin rolls
There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has an area of 20 square inches. If the actual outbuilding has a wall length of 10 feet, what is the length of that wall on the blueprint . A) 3 B) 4 C) 5 D) 6
Answer:
B) 4
Step-by-step explanation:
There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has an area of 20 square inches. If the actual outbuilding has a wall length of 10 feet, what is the length of that wall on the blueprint . A) 3 B) 4 C) 5 D) 6
The length of the wall on the blue print can be calculated as:
20 square feet ÷ 5
= 4 feet
2x - 8y = 16 and 3x - 2y = 19 How would I solve by substitution?
Plz answer fast and answer right I really need this
Answer: C
[tex]\frac{3}{4}*\frac{1}{3}=\frac{3}{12}=\frac{1}{4}[/tex]
According to the income section shown below from the 1040EZ form,
which of the following on line 2 would make the taxpayer ineligible to use this form?
A P E X ANSWER PLEASE I NEED ANSWER ASAP PLEASE AND THANK YOU!
Answer:
A) interest in the amount of $1,600
Sorry, this is late!
Step-by-step explanation:
Line 2 states that a taxpayer is ineligible to use the form if their total taxable interest is over $1,500. Answer A implies that the interest rate is $1,600 which applies perfectly.
The thing on line 2 that would make the taxpayer ineligible to use this form is D, None of the above.
What is a 1040EZ form?This refers to the tax form in the United States that is used for people below the age of 65 and have dependents that earn less than $100,000 yearly.
Hence, we can see from line 2, we can see that it is stated that taxable interest is more than $1,500 and the person becomes ineligible and none of the answer choices satisfies this, so option D is the answer.
Read more about 1040EZ form here:
https://brainly.com/question/11155394
#SPJ2
help me and ill give brainlist
its a sqaure so the angles are 90 degress each.
90 - 38 = 52
answer: C. 52
Answer:
c = 52*
Step-by-step explanation:
If we assume that both shaded triangles are equivalent, and we know that the total angle of a square's corner is 90*, to find the missing angles of the unshaded area (angle z) we just subtract 38 from 90.
90 - 38 = 52*.
In a class A of 25 students, 20 passed in first class; in another class B
of 30 students, 24 passed in first class. In which class was a greater
fraction of students getting first class?
Answer:
class A 20/25 = 4/5
class B 24/30 = 4/5
they are both the same
Answer:
Both classes have the same fraction (80% or 4/5).
Step-by-step explanation:
20 is 4/5 of 25, so 80% of students in Class A passed in first class.
24 is 4/5 of 30, so 80% of students in Class B passed in first class.
Both 20/25 and 24/30 simplify to 4/5, or 80%, so both classes have the same fraction of students passing.
What number makes the equation true?
54 = x6
Answer:
x=1.9441612
Step-by-step explanation:
Hope it
On Tuesday, Abel had $164.25
in his bank account. On Wednesday, he withdrew $68.50
from his account. After depositing $286.50
on Friday, how much money did Abel have in his account?
Answer: $382.25
Step-by-step explanation: Subtract 68.50 from 164.25, then add 286.50.
i really need help with this question it's due today
Zachary had $95. He spent $3 per day for 8 days. Then he was given $24 to divide equally
between himself and his 2 brothers. The following expression can be used to find the
amount of money Zachary had after that.
95 - 3.8+ 24 3
Based on this expression, what is the amount of money Zachary had remaining?
F $24
G $71
H $79
J $253
Answer: 79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
95 total
3x8=24
24 - 95= 71
3 divided by 24=8
71+8=79
What is the equation of the sinusoid shown in the graph?
A. y=3cos(pi/2x)
B. y=3cos(4x)
C. y=cos(4x)
D. y=3cos(1/4x)
Answer:
Answer: C
Step-by-step explanation:
The Cosine Function
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:
[tex]y=\cos x[/tex]
Both the amplitude A and the angular frequency w of a cosine can be modeled by the function
[tex]y=A\cos(\omega x)[/tex]
The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:
[tex]\frac{\pi}{2}\omega =2\pi[/tex]
Thus:
[tex]\omega = 4[/tex]
Therefore, the equation of the sinusoid is:
[tex]y=3\cos (4x)[/tex]
Answer: C
Answer:
b apeeeex
Step-by-step explanation:
Zachary is deciding between two landscaping companies for his place of
business. Company A charges $40 per hour and a $100 equipment fee.
Company B charges $30 per hour and a $150 equipment fee. Let A represent
the amount Company A would charge for t hours of landscaping, and let B
represent the amount Company B would charge for t hours of landscaping.
Write an equation for each situation, in terms of t, and determine the interval
of hours, t, for which Company A is cheaper than Company B.
A=
B=
Answer:
Step-by-step explanation:
A= 40t + 100
B= 30t + 150
A = 40t + 100
B = 30t + 150
Sorry I don't understand the 2nd part
A baseball team won 18 games and lost 3 games during its season. This represents all of the
games that the team played.
What is the ratio of games won to the total number of games played?
Answer:
4 games
Step-by-step explanation:
In the school library, there is 28 fiction items to every three non-fiction items. which is the best estimate of how many total items there are in the library if there are 52 nonfiction items?
Answer:
there will be 537 items in the library
Step-by-step explanation:
Can someone please help me?
Answer:
y=2x
Step-by-step explanation:
ummmm questions 2 plus 59
Answer:
61
Step-by-step explanation:
Someone plz help me plz ;-; on both plzzzz
1 1/5 - 3/5 = 3/5
9 1/5 - 3/5 = 8 3/5
Answer:
1: 3/5 2: 8 3/5
Step-by-step explanation:
1 3/5 becomes 6/5. 6/5 - 3/5 = 3/5. 9 1/5 becomes 46/5. 46/5 - 3/5 = 43/5. 5*8=40 so 8 3/5.
Your bill at Lawrys comes out to $40 for a steak dinner. You top the waiter 15%. How much did you tip him
Answer: Pretty sure it’s $6.00
Step-by-step explanation: I already answered it on your other question
Hal is three times as old as his nephew. Hal is 12 years old. Write a multiplication equation and solve the equation to determine his nephew's age.
Answer:
4
Step-by-step explanation:
The equation would be x * 3 = 12 because we know that Hal's age is 12 and that he's 3 times as old as his nephew. When we solve it we get the answer 4.
Help me with this pls
Answer:
B. 60=(4x-20)
Step-by-step explanation:
They are the same degree so they must equal eachother
Answer:
hello
Step-by-step explanation:
I think option (B)
because we can say that
60=(4x-20) ( ver. opp. angle )
