Answer:
112 cm.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle IJK:
We can find the length of j using cosine rule:
[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]
4.3 m to centimeters
Answer: 430 cm
Step-by-step explanation:
Answer:
430 cm
Step-by-step explanation:
43 multiplied by 10 is 430
Amanda is decorating you new house. She found a table at Pottery Barn for $425. If the table is 45% off, what will it cost?
What are the answers to these questions
13 Points. Find the perimeter.
Answer:
15.7 cm
Step-by-step explanation:
The perimeter of the entire circumference is
entire perimeter = 2п r
п = 3.14 (aprox)
r = radius = 3cm
entire perimeter = 2*3.14*3 = 18.84 cm
the entire perimeter of the circumference corresponds to 360 degrees
then,
proportions:
18.84 cm ⇔ 360°
F cm ⇔ 300°
F = 18.84*300/360
F = 15.7 cm
The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400). If the equation p = 50s - 200 represents the profit, p, based on s sales, what does the intersection best represent? Show work.
Answer:
This shows that the profit for 12 sales is 400
Step-by-step explanation:
If both graphs intersects then;
p = p
400 = 50s - 200
50s = 400+200
50s = 600
s = 600/50
s = 12
Substitute s =12 into p = 50s-200
p = 50(12) - 200
p = 600-200
p = 400
Hence the intersection (s, p) is (12, 400)
This shows that the profit for 12 sales is 400
BRAINLIEST FOR THE CORRECT AWNSER!! What is the measurement of
I doubled checked the correct awnser is D
I will give you 15 points
Answer: A, D
Step-by-step explanation:
Brian can iron 3 shirts in 5 minutes. If Brian irons at a constant rate, how many shirts can he iron in 30 minutes? WILL GIVE BRANLIEST
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
30/5 = 6
6 * 3 = 18
*starts crying from happiness*❤️❤️❤️❤️❤️❤️❤️❤️❤️
Step-by-step explanation:
f(x) = 2x + c
g(x) = cx + 7
fg(x) = 4x + d
C and d are constants.
Work out the value of d.
May someone help me pleaseeee
Answer:
c=2, d=16
Step-by-step explanation:
The value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
f(x) = 2x + c...(1)
g(x) = cx + 7..(2)
fg(x) = 4x + d..(3)
We need to find the values of c and d
fg(x) = 2(cx+7) + c
Apply distributive property
fg(x) =2cx+14+c...*
Now compare * with equation 3
2cx=4x
2c=4
Divide both sides by 2
c=2
and 14+c=d
Substitute c in above equation
14+2=d
d=16
Hence, the value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d
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Can you guys please help me!!
Answer:
a. 32
b. 32
Step-by-step explanation:
a. 12 + 4y
They gave us the value of "y" which is "5", and substitute that into the expression.
12 + 4y
12 + 4(5)
12 + 20
32
b. 4 (y + 3)
They gave us the value of "y" which is "5", and substitute that into the expression.
4 ( y + 3 )
4 ( 5 + 3)
Distributive property (multiply what is in the parenthesis by what is out of it (4))
4 * 5 + 4 * 3
20 + 12
32
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Write an equation of the line that passes through the pair of points. (−4, −2), (4, 0)
Answer:
y = 1/4x-1
Step-by-step explanation:
Ok first, you need to find the slope:
0+2 = 2=1
4+4 = 8=4
Slope: 1/4
y=1/4x+b
Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.
I will use (4,0)
0=1/4 X 4 + b
0=x+b
minus x on both sides. x=1
-1=b
An equation of the line that passes through the pair of points
(- 4, - 2), (4, 0) is y + 2 = (1/4)(x + 4).
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line that passes through the pair of points. (−4, −2), (4, 0).
We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.
So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).
∴ y + 2 = (1/4)(x + 4).
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Below are two parallel lines with a third line intersecting them.
Answer:
77
Step-by-step explanation:
180-103=77
The slope of the line below is 5. Which of the following is the point-slope form
of the line?
(-1,3)
5
A. y + 3 = -5(x - 1)
B. y + 3 = 5(x - 1)
C. y - 3 = 5(x+1)
D. Y-3 = -5(x + 1)
The point-slope form of the line in the graph is y-3 = 5(x+1). The correct option is C.
What is the point-slope form of the line?The point-slope form of the line is y-y₁ = m( x-x₁)
Here, m is the slope of the line.
The graph given in the question has a slope of 5
It passes through the point ( -1,3)
The point slope form of the line is
y - 3 = 5 ( x - (-1))
y-3 = 5(x+1)
This is represented by option C.
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Simplify: (3x-4)+(-2x+8).
Answer:
Step-by-step explanation:
x+4
Find the slope of the following graphs.
A. 2/3
B. 3/2
C. 3
D. - 2/3
Answer:
Answer is A
Step-by-step explanation:
The slope of the shown line passing through points (3,2) and (0,0) is 2/3. The answer is option A.
Given the points (3,2) and (0,0), we can calculate the change in y and change in x as follows:
Change in y = 2 - 0 = 2
Change in x = 3 - 0 = 3
Now, we can substitute these values into the slope formula:
Slope = (change in y)/(change in x) = 2/3
Here, the line has a positive slope, indicating that as x increases by 1, y increases by 2/3.
This means that the line is ascending from left to right, sloping upwards.
Therefore, the slope of the line passing through points (3,2) and (0,0) is 2/3.
Hence, the answer is option A.
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What is the solution for -3w-4=w+4
Answer:
uhh
Step-by-step explanation:
carrot?
what are the relative max and min. of this graph?
Relative Max is 6
Relative Min is -8
Could somebody please help me with these?? It's due tomarrow
Example for Table 1:
y = x + 6
So if X=-8
1st Row -8+6=-2
2nd Row -4+6=2
3rd Row -2+ 6=4
4th Row -9+6=-3
5th Row 2+6=8
So for any table, the X in the table rule is the X that you are working on.
Answer:
i got you:
1) -2, 2, 4, -3, 8
2) 37, -3, 29, -67, -75
3) -36, 4, -4, -20, -12
4) -10, 6, -4, 8, 4
5) -2, 18, -16, 6, -10
6) -4, -15, 2, 0, -6
7) -25, 23, 5, 29, 11
8) 24, 38, -60, 3, 10
9) 2, 4, 9, -1, -3
10) -14, -8, -15, -10, -16
11) 9, 18, -21, -3, -24
12) -10, 35, -73, 71, -19
hope that helps
Step-by-step explanation:
What is m∠DEF?
Enter your answer in the box.
There is a triangle DEF in which side DE is congruent to side EF and G is the midpoint of the side DF. Segment EG intersect the side DF at point G. The measure of angle DEG is (3y+4) degrees and the measure of angle FEG is (5y-10) degrees.
Answer:
m<DEF = 8y - 6
Step-by-step explanation:
Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].
The given triangle is an isosceles triangle with sides DE ≅ DF.
But,
m<DEF = DEG + FEG
= [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]
= 3y + 4 + 5y - 10
= 8y - 6
m<DEF = 8y - 6
Therefore, the measure of < DEF is 8y - 6.
Simplify Using the Distributive Property –(3a2 + 5a - 4)
Answer:
[tex]-3a^2 - 5a + 4[/tex]
Step-by-step explanation:
N/A
Answer:
-3a2 -5a +4
Step-by-step explanation:
since there us a negative at the front, the sign/ operations change
Y=x (58 power) /5
solve for y
Answer:
y = x^58/5
Step-by-step explanation:
Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms
3. Ivan has completed 45% of his walk.
He has already walked 9 km. How much farther does he have left to walk?
Answer:
11
Step-by-step explanation:
The required distance left to the walk will be 11 km.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Let the total distance of the walk would be x km
As per the given information, the required solution would be as:
⇒ 45% of x = 9
45% is expressed as 45/100 in fractional form
⇒ (45/100)x = 9
45/100 is expressed as 0.45 in decimal form
⇒ 0.45x = 9
⇒ x = 9/0.45
⇒ x = 20
So the total distance of the walk is 20 km
Since he has already walked 9 km.
So, he has left to the distance of the walk = 20 - 9 = 11 km
Therefore, the required distance left to the walk will be 11 km.
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Helpppppppppp. plsssss.Struggling :(
Answer:
68°
Step-by-step explanation:
22°+68°=90° ......
Over the summer Marty reads 4 times as many pages as the number of pages Nelson and Jennifer read combined Marty reads 1,860 pages and Nelson reads 240 pages
Classify this triangle by its sides?
Answer:
Scalene
Step-by-step explanation:
Is(1, 9)a solution to the inequality y ≤ 6x + 2?
Answer:
nope
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot
Here are the ingredients to make 12 cupcakes.
For 12 cupcakes
200 g butter
200 g caster sugar
4 eggs
250 g flour
Mark is making cupcakes to sell at his school play.
Mark wants to make 1 cupcake for each adult and 2 cupcakes for each child.
There will be 152 adults and 80 children at the school play.
Mark can get these ingredients from the school kitchen.
5 kg butter
5 kg caster sugar
90 eggs
5 kg flour
Make a shopping list of any ingredients Mark still needs, showing the amount of each
ingredient.
Answer:
Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.
Step-by-step explanation:
Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)
Now add the adults to children: 160+152=312
now divide by 12 to see how many batches of cupcakes he needs to make.
312÷12=26 So he needs to make 26 batches
Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)
5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.
now make the measurements the same as Mark's ingredients (or the other way around)
(to save time I am not showing each one, just the normal ingredients turned into kg and compared)
5 kg butter < 5.2 kg butter
5 kg caster sugar < 5.2 kg butter
90 eggs < 104 eggs
5 kg flour < 6.5 kg flour
Now do a little subtraction.....
5.2 kg-5 kg = 2 kg butter is needed....
5.2 kg - 5 kg = 2 kg caster sugar is needed....
104 - 90 = 14 eggs needed....
6.5 kg - 5 kg = 1.5 kg flour needed....
And there you go!!! Hope this helped!!! :D
The amount of ingredients that Mark still requires after getting it from the kitchen is needed.
The amount of ingredients Mark still needs is
200 g of butter
200 g of caster sugar
14 eggs
1500 g of flour
The number of cupcakes that are needed for 152 adults and 80 children is
[tex]152+2\times 80=312[/tex]
For the 12 cupcakes the ingredients are
200 g butter
200 g caster sugar
4 eggs
250 g flour
For 1 cupcake the ingredients are
[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter
[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar
[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs
[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour
For 312 cupcakes
[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter
[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar
[tex]312\times \dfrac{1}{3}=104[/tex] eggs
[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour
The required ingredients are
[tex]5200-5000=200\ \text{g}[/tex] of butter
[tex]5200-5000=200\ \text{g}[/tex] of caster sugar
[tex]104-90=14[/tex] eggs
[tex]6500-5000=1500\ \text{g}[/tex] of flour
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You pay $11.20 to buy drink boxes for the football team. Each drink box cost $0.40. How many drink boxes did
you buy?
John and Robin like to collect stones. John has n stones, and Robin has 68 stones. Together they have a total of 98 stones, Write an equation to describe this situation.
Answer:
n+68=98 find n (n=30)
Step-by-step explanation: