Question:
The first side of a triangle is four inches longer than twice the
second side. The third side of the triangle is 5 inches shorter than
the sum of the other two sides. The perimeter is 72 inches. Find
the lengths of the three sides.
Answer:
The sides of the triangle are: 11.5, 27 and 33.5
Step-by-step explanation:
Let the first side be f, the second be s and the third be t.
So, we have:
[tex]f =4 + 2s[/tex]
[tex]t = f + s - 5[/tex]
[tex]Perimeter = 72[/tex]
Required
Determine the length of the three sides
Perimeter is calculated as:
[tex]Perimeter = f + t + s[/tex]
Substitute values for f and t
[tex]Perimeter = 4+2s + f+s-5 + s[/tex]
[tex]Perimeter = f+2s +s+s-5+4[/tex]
[tex]Perimeter = f+4s-1[/tex]
Substitute values for f and Perimeter
[tex]72 = 4+2s+4s-1[/tex]
[tex]72 = 2s+4s-1+4[/tex]
[tex]72 = 6s+3[/tex]
Collect Like Terms
[tex]6s = 72 -3[/tex]
[tex]6s = 69[/tex]
[tex]s= 11.5[/tex]
[tex]f =4 + 2s[/tex]
[tex]f = 4 + 2 *11.5[/tex]
[tex]f = 27[/tex]
[tex]t = f + s - 5[/tex]
[tex]t=27+11.5 - 5[/tex]
[tex]t=33.5[/tex]
The sides of the triangle are: 11.5, 27 and 33.5
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Two numbers have a sum of 76 and a difference of 8. What is the larger number?
A. 34
B. 46
C. 68
D. 42
Answer:
46,42
( I hope this was helpful) >;D
A TV has a listed price of $820.99 before tax. If the sales tax rate is 9.75 , find the total cost of the TV with sales tax included
Answer:
901.04 dollars
Step-by-step explanation:
820.99 times .0975 = 80.05
80.05 + 820.99 = 901.04
Ron earned $ 840 in a week . How much will he earn in 36 days
Answer:
about 4200
Step-by-step explanation:
in order to solve this, you have to understand that there are 4 weeks within a month, which would give you the answer of 3360 and 36 days is approximately 5 weeks, therefore just add one more week to the total of 3360+ 840 = 4200
A triangular pane of glass has a height of 42 inches and an area of 546 square inches. What is the length of the base of the pane?
Answer:
Base = 26 in
Step-by-step explanation:
Recall the formula for the area of a triangle as:
Area = (Base x Height) / 2
In our case, this formula converts into:
546 in^2 = Base x 42 in /2
multiply both sides by 2 to get rid of fractions:
1092 in^2 = Base x 42 in
divide both sides by "42 in" to isolate the Base completely
1092 in^2 / 42 in = Base
Therefore Base = 26 in
Steve connected a wire extension that is ⅜ foot long to another wire that is ½ foot long. How long is the wire with the extension?
Tell whether the ordered pair is a solution.
y=4x
(1,4)
Answer:
It’s a solution
Step-by-step explanation:
what is 323 dived by 48?
HELPPPPPPPPPP I WILL GIVE BRAIN THING
Answer:
1, 8 and -3
Explanation:
x is bigger than or equal to -3. Any positive number is bigger than a negative number.
Hope that helps!!
Answer:
1, 8, -3
or
A, B, D
Step-by-step explanation:
We need to figure out which numbers are greater than or equal to -3
1 is greater than -3
8 is greater than -3
-4 is smaller than -3
-3 is equal to -3
Therefore, the applicable answers in this equation are 1, 8, -3
Help me pls pls pls
Answer:
Its 68
Step-by-step explanation:
Sum of all the angles is 180
63+49+w = 180
112+w=180
w=180-112
w=68
158.297 rounded each number to the nearest while number
Answer: 158
Step-by-step explanation:
158.297
It rounds to 158
since 0.297 < 0.5
Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a total of 11 items. How many bags of snack mix did they buy?
Answer:
6 bags of snack mix
Step-by-step explanation:
x bags of snack mix
y bottles of water
The equations in the question is given as;
20.00 = 2.50x + 1.00y (i)
11 = x + y (ii)
From eqn (ii);
11 - y = x
substitute the value of x in eqn (i);
20.00 = 2.50(11 - y) + 1.00y
20.00 = 27.5 - 2.50y + 1.00y
20.00 - 27.5 = - 1.50 y
- 7.5 = - 1.50 y
y = - 7.5 / (- 1.5) = 5
Since we are interested in the value of x. Substitute the value of y in eqn (ii);
11 = x + 5
x = 11 - 5 = 6
i need help plssss also quick if you can-
A scale drawing of a rectangular sign has a scale factor of 1:5. Which statements are true?
The ratio of the area of the scale drawing to the area of the sign is 1:10.
The ratio of the area of the scale drawing to the area of the sign is 1:25.
The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:5.
The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:10.
____________________________________________________________________
i'll also give brainliest-
Answer:
1:5 so C!!!!!!
:)(:
Answer:
C, The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:5.
Step-by-step explanation:
A scale drawing of a rectangular sign has a scale factor of 1:5. Which statements are true?
We know that having the sign of 1:5, is 1:5 because you can think that a the perimeter is 1:5.
The smallest number works the best too.
Identify the slope and explain
What does slope represent
Step-by-step explanation:
The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x.
NEED ASAP!!!
Find the area of the composite figure.
Answer:200 I think
Step-by-step explanation:
Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she sold 288 roses and 432 daisies?
Answer:
She will be paid $684
Can someone help me please
Find the sum of -7m and 5m + 2
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
pls type the correct question
10
After a power failure, the temperature of a freezer rises 7 degrees to -31 degrees. What was the
original temperature of the freezer?
-38 degrees
-24 degrees
38 degrees
I don't know
What is 20% of 50?hsjshshshshhsjsjs
Answer:
the answer you are looking for is 10.
Step-by-step explanation:
10
What is an equation of the line that passes through the point (7,-7) and is perpendicular to the line x-2y=2x−2y=2?
Answer:
y=−2x+7
Step-by-step explanation:
The other moron doesn't understand simple math.
An equation of the line that passes through the point (7,-7) and is perpendicular to the line x - 2y = 2 will be 2x + y = 0.
What is Slope of Line ?We have the given line x - 2y = 2 which is in form ax + by = c As we know that slope of line ax + by = c will be -(a/b).
Therefore For given line x -2y = 2 value of a will be 1 and value of b will be -2. Therefor Slope of given line will be -(a/b) = -(1/-2) = 1/2.
Now As we know that slope of two lines which are perpendicular to each other has product of there slopes as negative of unity that is -1.
Let the slope of line which we have to find be m also we have slope of given line as 1/2.
∴ m(1/2) = -1
∴ (m/2) = -1
∴ m = -1(2)
∴ m = -2.
Now as we know that line passes through the point given as (7,-7) and has slope m = -2.
Therefore equation of a line passing through a point (x₁, y₁) and have slope m will be given as
y - y₁ = m(x - x₁)
∴ y - (-7) = -2(x - 7)
∴ y + 7 = -2x -(-7)
∴ 2x + y = 7 - 7
∴ 2x + y = 0
For more details about slope of line visit the link below
https://brainly.com/question/16949303
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Will give Brainliest
Answer:
c
Step-by-step explanation:
its literally just 4 - 2
Mike spent $80.50 on 5 videos. If each video cost the same amount, how much did one video
cost?
Answer:
$16.10
Step-by-step explanation:
All you have to do is do 80.50/5 since if they all cost the same amount, and since there are 5. Anyway 80.50/5 is 16.1, or $16.10.
Will give brandy list
Help hurry !!!!!!! I need help
Answer:
it's is the last one 1 out of 6
I need help on this and the first person who answer correctly gets a BRANLIST
Answer:
Inequality Form:
w ≤ 6
Interval Notation:
( − ∞ ,6)
A cube has a side that
measures 4 inches. What is
the volume of the cube?
Answer:
4*4*4 = 64, so the volume is 64 inches cubed
Step-by-step explanation:
please help me it's urgent
If
p 10
, find the value of
2
p p 2 100.
Step-by-step explanation:
p
2
−2p−100=(−10)
2
−2(−10)−100 [Putting p=−10]
=100+20−100=20.
ᴍᴀʀᴋ ᴀꜱ ʙʀᴀɪɴʟɪᴇᴀꜱᴛ
How far apart are points B and F?
Answer:
Points B and F are as far apart as how far apart they are.
Step-by-step explanation:
Erin completes 11 transactions in his bank account. In 6 transactions, he withdraws $10 each time. in 5 transactions, he deposits $20 each time. Find the total net change in dollars.
Answer:
The answer is 30
Please give me Brainliest it would mean a lot
The Parent-Teacher Association (PTA) wants to find out
how much students pay for school supplies at the
beginning of the school year, so it conducts a survey at
certain local stores. PTA members visit these stores to
find the prices of the items on the students' supply lists.
What is the sample in this study?
A. The prices of listed items at the selected stores
B. The prices of pencils at the selected stores
C. The prices of listed items at all local stores
D. The prices of listed items at one store