Answer:
The other leg is √65 cm
Step-by-step explanation:
Hi there!
We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm
We want to find the measure of the other leg
In right triangles, we can use the theorem to find the value of a side, if we know the lengths of the other two sides
The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse
If we say a is 4 and c is 9, then the equation will look like this:
(4)²+b²=(9)²
Raise each number to the second power
16 + b²= 81
Subtract 16 from both sides
b²=65
Take the square root of 65
b=√65, -√65
-√65 is not an applicable root for this problem, since distance cannot be negative
Hence, our answer is √65 cm
Hope this helps!
Five numbers with mean 4, mode 3, and range 9
Answer:
6,6,6,6,6
Step-by-step explanation:
You’d have to have an odd number of 6s and more than one, so either 3 or 6 of the numbers will have to be 6s
6, 6, 6, 6, 6
5, 6, 6, 6, 7 (the 5 and 7 could be replaced by 4/8, 3/9, 2/10, or 1/11 - as long as balance is preserved)
4 people can trim a hedge in one hour.
How long would it take 3 people?
Give your answer in minutes.
Answer:
The total time taken by 3 men to trim the hedge would be 80 minutes.
Step-by-step explanation:
1) The time taken by 4 men to trim the hedge is 1 hour or 60 min.
2) One me would take 4 times more time alone i.e. Time taken by only one man would be 4 hours or 240 min.
3) The time taken by 3 men would be 3 times less than time taken by one man i.e. 240/3=80 min.
#of people = 4
time taken for 4 ppl = 1hr / 60mins
# of people = 3
time taken = 1/x
4 - 1/60
3 - 1/x
cross multiply
x=60/3*4
x=80
hope this helps :)
mark me brainliest :D
What is the equation of the line that passes through the point (8,-8) and has a slope of -2
Answer:
y=-2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (8, -8) and has a slope of -2
We can write this equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope of the line, we can immediately plug it into the equation as m:
y=-2x+b
Now we need to find b
As the equation of the line passes through the point (8, -8), we can use it to help solve for b, since (8, -8) is a solution to the equation, meaning that it will yield a true statement when plugged into the equation
So substitute 8 as x and -8 as y:
-8=-2(8)+b
Multiply
-8=-16+b
Add 16 to both sides
8=b
Now substitute 8 as b into the equation:
y=-2x+8
Hope this helps!
.Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y+8=-2(x-8)[/tex]
[tex]\\ \sf\longmapsto y+8=-2x+16[/tex]
[tex]\\ \sf\longmapsto 2x+y+8-16=0[/tex]
[tex]\\ \sf\longmapsto 2x+y-8=0[/tex]
93 is what percent of 300
[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]
[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]
[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]
[tex]\sf \longmapsto \: 31\%[/tex]
Mr. Ryan is buying a home for $250,000. He is making a 20% down payment and
financing the rest with a 25-year loan at 5% interest. What will his monthly payment
be?
Since 20% down payment, we will find the 20% of that $250,000.
10% is $25,000, now times by 2 would be 20% which is $50,000.
Now $250,000 - $50,000 = $200,000 which would be rest of the non-payed payment.
We will divide $200,000 with the 25 year loan. $200,000/25 = $8,000
There is also the 5% interest.
1% of $8,000 is $80 and times that by 5 would be 5% which is $400.
$8,000 + $400 = $8,400.
Since it is monthly, we will divide $8,400 by 12 months. $8,400/12 = $700.
The monthly payment would be $700.
(I hope this is correct.)
Larry needs 45 ounces of graph juice for 6 guests. Later, he finds out that 26 guests are coming. how much graph juice does he need to purchase?
A. 196 Ounces
B. 270 Ounces
C. 40.3 Ounces
D. 1170 Ounces
Based on the amount of juice needed for 6 guests, the amount of juice Larry will need for 26 guests is A. 196 ounces.
First find out the amount of juice a single guest will need:
= Quantity of juice / Number of guests
= 45 / 6
= 7.5 ounces
If a guest needs 7.5 ounces, 26 guests would need:
= 25 x 7.5
= 195 ounces
In conclusion, 196 ounces of juice is needed.
Find out more at https://brainly.com/question/1201888.
What is the value of -[-(-7)]?
Answer:
-7 is the correct answer
Will took a nap for 2 hours and 40 minutes. If he woke up at 5:05 what time was it when he started his nap
2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.
answer: 2:15
explaination :
Zoey is having a party for 10 friends.2 If each friend eats 1/2 pounds of chips, how many pounds of chips will Zoey need?
A. 6 pounds
B. 4 pounds
C. 5 pounds
Someone help me
Answer: C
Step-by-step explanation: 10 times 1/2
Answer:
C. 5 Pounds
Step-by-step explanation:
Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)
FOR
Equatus
Solve THIS systim of
4x + 5y = 8
= 8
+
4x = 6-5y
Answer:
no solutions
Step-by-step explanation:
4x+5y=8
-4x+5y=6
0=2
no solutions
Hello everyone! I have to do this HW assignment and I have no idea how to do this and what the answer is. Please help ASAP!
Answer:
D) 16
Step-by-step explanation:
Find out the what is the constant of proportionality .
To prove
As given
A recipe says to use 3 cups of flour to make 48 cookies.
the number of cookies made, y, to the number of cups of flour used,x .
Then
y = kx
Where k is the constant of proportionality.
48/3k
k=16
[tex]\sqrt{7+2\sqrt{10} } -\sqrt{7-2\sqrt{10} }[/tex]
Please help me with this I don't get it
A person wins $25,000 on a game show and a trip to Costa Rica worth $5,700. Does he have any tax obligation from these winnings?
Answer:
Yes
Step-by-step explanation: All of these winnings become part of his gross income.
Ashely burns 0.48 calories for every 20 feet she runs.How many calories would she burn after running 2 miles?
Answer:
253.44 calories
Step-by-step explanation:
2 miles = 10560 feet
10560/20 = 528
528 · 0.48 = 253.44
A 6.50 m long ladder leans against a house wall. The ladder forms an angle of inclination a of 72 ° with the horizontal ground. How high is the ladder against the wall?
6.182m against the wall from the ground
Well this is a tricky one though but very easy.
So we have on our hands a 6.50m long ladder leaning against a wall at an angle of 72°, as illustrated in the diagram above. (please parden my hand writing).
So we are to find how high the ladder is against the wall, which from the diagram I labelled as y, and to find y we have to use something called SOHCAHTOA. This basically is use in calculating some lengths of a right angle triangle when Pythagoras therom fails u .
So from SOHCAHTOA, we are going to use SOH
What this basically means is
The sin of an angel(for example x) can be found by dividing the opposite to the angle by the hypotenuse. Since we are finding for y
Sin(72°) = y/6.50, if we should cross multiple the we will be having
Y = sin(72°) * 6.50
After evaluating using your calculator,
You will have y = 6.182
Find the perimeter.Simplify your answer.
Answer:
8y - 80
Step-by-step explanation:
Perimeter, put simply, is all of the sides added up together. It will look like this:
(2y - 10) + (2y - 10) + (2y - 10) + (2y - 10)
Now, let's simplify! We can tell that all of the sides are equal to 2y-10, so we can do this:
4(2y -10)
Now we will distribute:
8y - 80
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
Its jsut combining like terms
Perimeter is basically the out sides all added up in this case everything is equal
so its
2y-10+2y-10+2y-10+2y-10
8y-40
8y-40 is your final answer
An online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes. Use the explicit formula to determine how much the online store charges when shipping 11 items.
Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.
From what we know so far,
y = 5n
Use the explicit formula to determine how much the online store charges when shipping 11 items.
y = 5(11)
y = 55 dollars
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
$55
Step-by-step explanation:
Since we are not given much information in this problem, we know this must be a pretty simple sequence. If we make a sequence of Natural Numbers and match it up to the prices we've been given, we get
1,2,3,4...
5,10,15...
The price is increasing by five dollars for every "n", so our sequence is just 5n. Extrapolating this out gives us $55 for n=11
find the slope: x 0 1 2 3 y 4 4 4 4
Answer:
slope is 0
Step-by-step explanation:
it is flat on a graph
Which number is greater explain your reasoning .375 or 3/8? help!
Answer: Neither is greater, they are perfectly equal. Or If it's a trick question, 0.375
Step-by-step explanation:
3 divided by 8 equals 0.375, no rounding or anything. I'm not sure if it is more of a trick, brain melting question, then in that case 0.375 because I suppose it could be a rounded number that represents numbers such as 0.3751, 0.3752, etc.
You have 4 cups of flour and you need to us 1 3/4 cups of flour for a cookie recipe.how much flour will you have left?
Whoever answers first gets brainliest, 5 stars, and a thanks. Pls help asap
Answer: 14.5185185185
11 1/3 + 10 5/9 - 7 10/27 = 392/27 = 14 14/27 ≅ 14.5185185
so my math teacher made us do a review and I forgot how to do 8.90 x 15 bc when I do it's not in the multiple choices help
Answer:
133.5
An easy way of doing this is to ignore the decimal so consider it as 89 instead because 0 is insignificant. So do 89x15 = 1335 we know that 8.90 has 1 decimal place because 0 is not significant so you just add 1 decimal place which becomes 133.5
Examine the statement.
Rules for naming compounds are beneficial to the scientific community.
Do you agree or disagree with the statement? Be sure to explain the reasons for your viewpoint when you answer.
Furthering the Discussion
If you need more material to continue the conversation, use these questions as a guide.
What types of real-life situations or scenarios do you think benefit from having rules?
What types of real-life situations do you think are hindered by having rules?
Answer/Explanation:
I agree with the statement because primary function of chemical nomenclature is to ensure that a spoken or written chemical name leaves no ambiguity concerning which chemical compound the name refers to: each chemical name should refer to a single substance. The first separation of importance is to distinguish between inorganic and organic compounds.
Business Math I need help with fraction word problems.
Answer:
which kind?
Step-by-step explanation:
What does this multiplication equation mean?
6 × 7 = 42
Select each correct answer.
Seven more than 6 is equal to 42.
Seven times as much as 6 is equal to 42.
Six times as much as 7 is equal to 42.
Six more than 7 is equal to 42.
Answer:
Step-by-step explanation:
Six times as much as 7 is equal to 42 would be the equation
Find the perimeter. Simplify your answer.
Answer:
3z+13
Step-by-step explanation:
Perimeter is found by adding all the sides
z+2+z+2+z+9
3 z variables 2+2+9=13
Simplified equals
3z+13
Hope this helps!
Please mark this answer as brainiest :)
Answer:
Step-by-step explanation:
z+2 + z + 2 + z + 9 = Perimeter Collect like terms
3z + 13 = Perimeter
WILLL GIVE POINTS
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .
The points of the polygon =(3,3) (0,3) (6,-6) (9,6)
Answer:
(1,1) (0,1) (2,-2) (3,2)
Step-by-step explanation:
So with dilation you have to mulitply thE numbers by the one said in the problem which Was 1/3. So after doing that I got those coordinates.
Enrollment in mathematics courses
increased from 1440 students last
semester to 1925 students this semester.
Find the percent increase, to the nearest
whole percent
Answer:
25%
Step-by-step explanation:
1925 - 1440 = 485
X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)
(485 x 100) / 1925 (cross multiply)
48500/1925 = 25%
What is the vertex for:
y=−7(x−2)2
Question 7 options:
(-7,-2)
(2,0)
(-2,0)
(-7, 2)
Answer:
you factories the equation