Answer:
The side lengths are 84, 63 and 28
Step-by-step explanation:
The shortest side of a triangle is 13 cm.
How to estimate the shortest side of a triangle?Let x be the longest side
y be the shortest side
z be the other side
x + y + z = 50 ...........(1)
x = y + 8 ...........(2)
z = y + 3 ............(3)
Replace x with y+8 in equation 1
Replace z with y + 3 in equation 1
To estimate the value for y,
(y+8) + y + (y+3) = 50
Simplifying the above equation, we get
3y + 11 = 50
3y = 50-11
3y = 39
y = 39/3
y = 13 cm
Therefore, the shortest side of a triangle is 13 cm.
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in the school library there are 4850 Hindi and English books if the Hindi books are 42% find the number of English books in the library
Answer:
2813 English books
Step-by-step explanation:
Hindi books are 42% of 4850
42 ÷ 100 = 0.42
0.42 × 4850 = 2037 Hindi books
number of English books = total number of Hindi and English books - number of hindi books
4850 - 2037 = 2813 English books
A number from 1 to 10 is chosen at random. What is the probability of choosing a 2
or an even number?
Answer:
5/10
Step-by-step explanation:
there are 5 even number so the probability of choosingan even number is 5/10
Find the slope of each line.
HELP ME PLEASE!!! 15 PTS!!!
Answer:
slope = 1/3
explanation:
recall the formula to find slope: [tex]\frac{y2-y1}{x2-x1}[/tex]Here given ( dotted ) coordinates: (4,1),(-2,-1)Steps:
Using the formula:
[tex]\frac{-1-1}{-2-4}[/tex][tex]\frac{-2}{-6}[/tex][tex]\frac{1}{3}[/tex]Solution:
Find the slope (y₂ - y₁/x₂ - x₁) using the two given points.
Given points: (-1,2) and (1,-4)
y₂ - y₁/x₂ - x₁ = Slope=> -4 - 2/1 - (-1) = Slope=> -6/1 + 1 = Slope=> -6/2 = Slope=> -3 = SlopeHence, the slope of the line is -3.
Find five consecutive odd integers if the sum of the first three integers is 7 more than the sum of the last two.
Answer: 15, 17, 19, 21, 23
Step-by-step explanation:
You can let the middle number = x, then the numbers are
x-4, x-2, x, x+2, x+4
Plugging it back in to what is given,
x-4+x-2+x = 7+x+2+x+4
3x-6 = 2x + 13
x = 19
The numbers are 15, 17, 19, 21, 23
The first odd integer is 15, and the five consecutive odd integers are 15, 17, 19, 21, 23
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Let x be the first odd integer, then the next four odd integers would be x+2, x+4, x+6, and x+8.
According to the problem, the sum of the first three integers is 7 more than the sum of the last two, which can be expressed mathematically as:
x + (x+2) + (x+4) = (x+6) + (x+8) + 7
Simplifying the equation, we get:
3x + 6 = 2x + 21
Subtracting 2x and 6 from both sides, we get:
x = 15
Therefore, the first odd integer is 15, and the five consecutive odd integers are 15, 17, 19, 21, 23
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Evaluate 2a^2 – 3ab + b^2-
4a + b when a =
-4 and b =
- 2.
Answer:
26
Step-by-step explanation:
[tex]2(-4)^2 -(3)(-4)(-2)+(-2)^2-(4)(-4)-2[/tex] [tex]2(16)-(-12)(-2) + 4 - (-16)-2[/tex] [tex]32 - 24 + 20-2[/tex] [tex]8+20-2[/tex] [tex]28-2[/tex] [tex]26[/tex]One building is 60 stories tall, and a second building is 48 stories tall. What is the ratio, in simplest terms, of the number of stories in the first building to the number of stories in the second building?
Answer:
Ratio is : 5/4 or 5 : 4
Step-by-step explanation:
The ratio of the number of stories in the first building to the number of stories in the second building :
60 : 48 or 60/48
Both numbers have 3 and 4 as common factors. So
3 * 4 * 5 : 3 * 4 * 4
5 : 4 is the ratio in the simplest terms striking of the common factors.
Answer:
Simplest form is 60 : 48.Step-by-step explanation:
We are finding the ratio of 60 and 48.
It's very simple.
Ratio should be:
60 : 48.There is no other simple form, so the simplest form is 60 : 48.
given the information in this picture which trigonomic identity can be used to solve for the height of the blue ladder that is leaning against the building
[tex]\\ \tt\hookrightarrow sin\theta=\dfrac{P}{H}[/tex]
[tex]\\ \tt\hookrightarrow sin47=\dfrac{50}{h}[/tex]
[tex]\\ \tt\hookrightarrow h=\dfrac{50}{sin47}[/tex]
[tex]\\ \tt\hookrightarrow h=\dfrac{50}{0.73}[/tex]
[tex]\\ \tt\hookrightarrow h=68.4ft[/tex]
Answer:
sine
sin = o/h
Step-by-step explanation:
The ladder leaning against the building has created a right triangle.
A right triangle is made up of 2 legs (at 90° to each other) and a hypotenuse (longest side).
Trig ratios help us calculate side lengths and interior angles of right triangles:
sin(x) = O/Hcos(x) = A/Htan(x) = O/Awhere x is the angle, O = the side opposite to the angle, A = the side adjacent to the angle, H = hypotenuse
From inspection of the diagram, we need to find the hypotenuse (H) and we have been given the angle (x) and the side opposite to the angle (O):
Therefore, we can use the trig ratio sin(x) = O/H to determine H:
⇒ sin(47) =50/H
⇒ H = 50/sin(47)
⇒ H = 68.36637305... = 68 ft (nearest foot)
Find the product. Simplify your answer. -4(4c+ 4)
Answer: -32c
Step-by-step explanation: -4(4c+4) -4 x 4c= -16c. -4 x 4= -16
New equation: -16c + -16
Answer: -32c
- means negative, not subtraction
Brainliest if correct
Answer:
w=4
Step-by-step explanation:
28=14w-7w whenever you work it out it equals w=4... happy to help :)
Answer:
w = 4
Step-by-step explanation:
Rewrite the equation as 14w - 7w = 28
Now subtract 7w from 14w
7w = 28
Divide
7w/7 = 28/7
28/7 = 4 > w = 4
George buys 7 pairs of pants and uses a discount for $11 off.
He spends $73 total.
What is p, the cost of each pair of pants?
This situation can be represented by the equation 7p–11=73.
The cost of each pair of pants is $12.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that George buys 7 pairs of pants and uses a discount for $11 off. He spends $73 total.
We can write the equation as -
7p - 11 = 73
7p = 84
p = 12
Therefore, the cost of each pair of pants is $12.
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factories the following
5a + 5b
Answer:
5(a+b)
Step-by-step explanation:
5(a)+5(b)
5(a+b)
Answer:
5a + 5b
= 5 ( a + b )
Prior Skill Review: Which ordered pair is a solution of the system 2x – y < 5 and 2 + 2y > 2?
Answer:
B) (3, 2)Step-by-step explanation:
Graph the inequalities and plot the points.
See attached.
As we see, the solution is the option B, point (3, 2). All the other points are either outside or on the dashed line.
Graph attached
Refer to the attachmentSecond one should be 2x+2y>2
5. The vertices of AABC are A(-5, 4), B(-2, 4), and C(-4, 2). If AABC is reflected across the y-axis, find the coordinates of the vertex C'.
Answer:
C'(4, 2)Step-by-step explanation:
The vertex C has coordinates:
x = - 4, y = 2If the triangle reflected over the y-axis, the y-coordinates of C and C' will be same but the x-coordinate will change to opposite.
So the vertex C' will have coordinates:
x = 4, y = 2The manufacturing operations of Cullumber, Inc. had the following inventory balances for the month of January:
January 1. January 31
Raw Materials. $12,720 $13,780
Work in Process 22,260. 24,380
Finished Goods. 14,840 12,720
Cullumber transferred $286,200 of completed goods out of Work in Process Inventory during January.
Compute the cost of goods sold for January.
Cost of goods sold:
Answer: COGS= 288,320
Step-by-step explanation
Beginning Finished Goods + Transferred of completed goods out of W/P - Ending Finiished Goods.
14,840 + 286,200 - 12,720 = 288,320
Use intercepts to graph the linear equation 4x+6y=12 .
Answer:
The Y Intercept is -2 and the slope is 4/6.
Step-by-step explanation:
First, you need to convert that equation into y = mx + b. To do that you need to bring the 6x over on the other side first. 6y = 4x - 12 is what you get.
Then you need to get rid of the 6, you divide it into the 4 and 12 to do that.
You get y = 4/6x - 2.
Your slope is 4 rise and 6 run.
Your Y-intercept is negative 2.
Answer:
First, put it into a graphing form:
4x + 6y = 12
6y = -4x + 12
y = -2/3 + 2
(I would graph this but it`s not letting me attach an image. I`ve laid out the steps below)
- Make a point at (0,2). It`s two units above the origin. This is your y-intercept.
- Move the dot two units down, and three units right. It should end up on the point mentioned in the next step
- Make another point at (3, 0). It`s three units to the right of the origin. This is your x-intercept.
- Continue moving two down , three right until that side of the graph is done.
- Go back to the y-intercept and move two units up, and three units left, until the line reaches the edge.
- Once you have the dots down, connect them with a ruler.
The easier way to do this is by just taking two points, and going all the way across the graph, but it`s not always accurate.
y-intercept = (0,2)
x-intercept = (3,0)
Hope this helps!
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
D) 13/100 = 2500/X
Step-by-step explanation:
..........
Subtract 4 from 1/6of 42
What’s the correct answer for this? Any help would be appreciated
assume your salary was $30,000 in 2010 and $40,000 in 2012. if your salary follows a linear growth pattern, what will your salary be in 2015?
Find the area of the shaded parts of these shapes
Answer:
7.70m
Step-by-step explanation:
A = π r²
small A = π 1.4m²
= 6.1575m
big A = π 2.1m²
= 13.8544m
Shaded A = big - small
= 13.8544m - 6.1575m
= 7.70m
If correct I will give you brainliest
Answer:
x=2×-1÷4
NOW
or,2x-1÷4
or,3÷4
or,0.75 answer
Answer:
2x+3y-3x-5y
2x-3x+3y-5y
-1x-2y
A rectangular park is 56 miles wide and 157 miles long.
What is the area of the park?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
mi2
Answer:
Hes already taken and Hes cracked at Fortnit my dude
Step-by-step explanation:
the answer is 1 3/7 btw
Answer:
1 3/7 I got an 80% a B on this test because of this app :)
16 teams, each with the same number of people, enter a quiz. At the
semifinal stage there are 12 people left in the competition
How many people entered the quiz?
Answer
48
Step-by-step explanation:
Semi-finals implies there are FOUR teams left...12 people implies THREE people per team
ILL GIVE BRAINELST
The Inuit were the only early people on North America to make lamps for light.
True or False
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Help please I don’t understand geometry
It would be the second option.
Good luck :D
Answer:
B
Step-by-step explanation:
How I saw it is that in the example picture the gave a square and then 1/2 of that so I chose B.
Hope this helps! Have a great day!!
Seven more than the product of a number and 9 equals 3.
Answer:
9x+7=3
Have a great day!
Please help i will give brainiest to the correct answer!
Answer:
1 by 1 by 1 1/3, 36, 12.
Step-by-step explanation:
Which expression is equivalent to 12^7 times 12^4?
a. 3^11 times 4^11
b. 12^28
c. 1/12^11
d. (12^5)^6
Answer:
a.12^7 times 12^4=3^11 times 4^11
Choose the equation that best matches the problem: Zachary grew a small garden as part of a science experiment. After observing his plants for several weeks, he noticed that 2/4 of the plants had yellow blossoms. Of the plants with yellow blossoms, 1/3 had dark green leaves. What fraction of the plants had yellow blossoms with dark green leaves?
2/4-1/3
2/4+1/3
2/4x2/4
2/4x1/3
Answer:
I think its 2/4+1/3
Step-by-step explanation:
I tried to do myself.
Answer:
2/4 X 1/3
Step-by-step explanation:
If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?
Answer:
28
Step-by-step explanation:
First add the Ks together into 2k to make that simpler, 2k(x) means the equation would be 2(5x-6) making it 10x -12. Then substitute 4 into x to get 10(4) -12 = 28
Answer: 28
Answer is 28.
Step-by-step explanation:
Use the given functions to set up and simplify. (k + k) (4) = 28.
Hope this helps =)