Answer:
2 sin x + √3 = 0
2sinx=-√3
sinx=-√3/2
x=sin-¹(-√3/2)(sin-¹ means inverse of sin)
x=-60
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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Which expression is equivalent to?
Rewrite in y=mx+b form
- (y + 2) = 2(2x + 1)
Answer:
y=-4x-4
Step-by-step explanation:
Answer:
y=-4x+4
Step-by-step explanation:
Use order of operations, PEMDAS, to put it in y=mx+b form.
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.
Classify this triangle by its sides?
Answer:
Scalene
Step-by-step explanation:
i need to drag one into the box to match them
Answer:
54÷9 = 6 so for the second box is 6 hot dogs per person
54÷27= 2 third box is 2 hot dogs per person
54÷54= 1 fourth box is 1 hot dog per person
Help me out please and thank you ;)
Please help, I will be giving brainlist.
Answer:
b
Step-by-step explanation:
Answer:
o B 6 inches.
Step-by-step explanation:
Proportions:
13 in ⇔ 9.75 in
8 in ⇔ X in
X = 8*9.75/13
X = 6 in
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
can someone help me out here pls?
how much butter is needed to make a cake for 10 people
ingredients for 4 person cake
'80g plain flour'
'60g almonds'
'90g brown sugar'
'60g butter'
1 and 2 is all I need and you guys would help me from not getting beat
Answer:
1. -10
2. -11
Step-by-step explanation:
Simplify: (3x-4)+(-2x+8).
Answer:
Step-by-step explanation:
x+4
help please !! easy question i believe :))
Solve 6 - 5x = 7 + 3x
Answer:
hol up
x=-1/8 negative one over eight
Step-by-step explanation:
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?
rewrite using addition. 3(-17) explain
Answer:
-17 + -17 + -17
Step-by-step explanation:
Add -17 three times
Answer:
+ (-17) + (-17) + (-17)
-17 - 17 -17
-51
GIVING BRAINLIEST Cattails thrive in places where there is plenty of water year-round. Which event might limit a cattail population? A.Drought B.Rainy spring C.Thunderstorm D.Eclipse
Answer:
A. Drought, this is when the land is dry and no water is around essentially.
Answer:
The answer is drought. I took the test.
convert 2 3/4 into a improper faction
Answer:
11/4
Step-by-step explanation:
2 times 4 equals 8 and plus 3 equals 11 and dem is 4 so 11/4
Answer:
[tex]\frac{11}{4}[/tex]
Step-by-step explanation:
[tex]2\frac{3}{4}[/tex]
To get an improper fraction do the multiply and add shortcut. Do the denominator times the whole number ( 2 x 4). You will get 8, next add 8 with 3. You still keep the denominator, so your final result is [tex]\frac{11}{4}[/tex]
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.
To know more about the Point-slope form of the line
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A new watch costs $120 at the store. If it goes on sale for 75% off and has a sales tax of 6%, what is the final cost of the watch?
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
what is 65% of 80 ??????????????
Answer:
Step-by-step explanation:
65% of 80 is
65*80/100=52
Answer:
52
Step-by-step explanation:
Calculate percentage:
'Percentage' is obtained by multiplying 80 by 65%.
65% × 80 =
(65 ÷ 100) × 80 =
(65 × 80) ÷ 100 =
5,200 ÷ 100 =
52
Checking:
How do we check the result?
If 65% × 80 = 52 =>
Divide 52 by 80...
... And see if we get as a result: 65%.
Calculate the percent value:
52 ÷ 80 =
0.65 =
0.65 × 100/100 =
(0.65 × 100)/100 =
65/100 =
65%
Find the missing side length
Find the Measure of the missing angles.
49°
118
73
Measure angle 1 =
Measure angle 2-
Measure angle 3=.
Answer:
Find the Measure of the missing angles.
49°
118
73
Measure angle 1 =
Measure angle 2-
Measure angle 3=.
Step-by-step explanation:
Kelsey knit a total of 6 centimeters of scarf over 2 nights. After 4 nights of knitting, how many centimeters of scarf will Kelsey have knit in total? Assume the relationship is directly proportional.
Answer:
[tex]12[/tex] cm
Step-by-step explanation:
If Kelsey knit a total of [tex]6[/tex] cm of scarf over [tex]2[/tex] nights, then we know that she can knit [tex]\frac{6}{2}=3[/tex] cm each night. Therefore, after [tex]4[/tex] nights of knitting, Kelsey would have knit a total of [tex]3*4=12[/tex] cm of scarf in total. Hope this helps!
- IZ
- -
M = 9
7. Carlene has $300 in her wallet but she doesn't realize that she has a hole in her wallet!
Every step she takes, she loses five dollars. How far will she walk before she only has $150 left
in her wallet? Write a sentence explaining your solution.
Click to add text
Explanation:
ick to add speaker notes
Step-by-step explanation:
Subtract initial amount (300) and final (150). from there you get 150 dollars that was lost. We know that every step you 5 dollars so then divide 150 and 5 to get 30. So the distance was 30 steps.
if Maya drove 30 laps in six minutes how many laps did she drive in one minute
Answer:
5 laps in one minute.
Step-by-step explanation:
1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.
what are the relative max and min. of this graph?
Relative Max is 6
Relative Min is -8
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
