Using the cosine rule calculate the magnitude of angle B when did the b=20.8cm c= 14.5cm and a= 9.3cm is [tex]\approx 37.02364^{\circ}[/tex]
What is cosine rule?c = [a2 + b2 - 2ab cos C] is the cosine formula to get the side of the triangle. a, b, and c are the triangle's three sides. When attempting to link all three sides of a triangle to a single angle, the cosine rule can be applied. You need to know the other two sides as well as the opposing angle in order to determine the length of a side. Your objective is to locate side a. With the aid of the sine rule, one can determine an angle from three sides and an angle or a side from three angles and a side.Given,
b=20.8cm c= 14.5cm and a= 9.3cm
[tex]\gamma=\cos ^{-1}\left(\frac{a^2+b^2-c^2}{2 a b}\right)[/tex]
[tex]=\cos ^{-1}\left(\frac{9.3^2+20.8^2-14.5^2}{2 \cdot 9.3 \cdot 20.8}\right)[/tex]
[tex]\approx 37.02364^{\circ}[/tex]
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a student has a savings account with $475 in in it. She deposits $125 of her paycheck into the account every week. Her goal is to save 7,000 for college. How long will it take her to reach her goal of $7000?
Answer:
52.2 weeks
Step-by-step explanation:
7000 - 475 = 6,525
6525 ÷ 125 = 52.2
Answer:
It will take her 53 weeks to get her goal of 7,000$
Step-by-step explanation:
I subtracted 475 from 7,000 to see how much she needed to save for. I got 6525. I multiplied 125 times 52 and got 6500. To get to her goal she needs 25 more dollars so, she'll have to work another week to get to that goal.
:)
A large rectangular box has a volume of 15.75 cubic feet. The box is 2.5 feet long and 1.5 feet wide. What is the height of the box?
Answer:
2.5 x 1.5= 3.75
15.75/3.75=4.2
Answer- 4.2
Step-by-step explanation:
8•3=(n divided by 3)
Answer:
N= 72
Step-by-step explanation:
8x3= 24
24x3=72
check: 72/3= 24
Which transformation would take Figure A to Figure B
Answer:
6 squares to right and 6 squares down
Step-by-step explanation:
Go with the coordinate (-1, 5) on shape A
Hope it helps :)
Move 6 squares to right and 6 squares down.
The initial coordinate that is the x value is -5 and the transformation figure has x value 5.
So move figure A 6 squares to the right . And then move 6 squares to the down we get the transformation figure B.
Therefore, by moving 6 squares to right and 6 squares to down we get the transformation figure B.
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If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-lo-whole ratio of white balloons to
all balloons?
A)
1:5
B)
1:6
C)
1:7
D)
1:8
Answer:
1:6
Step-by-step explanation:
1:6
I hope this answer is correct
f(-4) = 3x^2-2x pls help i dont know this question
Step-by-step explanation:
f ( - 4) = 3 ( - 4) ² - 2( - 4)
=. 3 ( 16) + 8
=. 48 + 8 = 56
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
I really need help with this
Answer:
3
Step-by-step explanation:
I recall seeing this question. If I'm wrong, let me know.
what’s the answer, help please !
Diego hosted a spaghetti dinner for the soccer team. He made 6 boxes of spaghetti to feed the 20 people that came. Next time, 50 people are coming! How many boxes of spaghetti should Diego buy to feed all those people? Explain or show your reasoning.
Consider the quadratic function: f (x) = 5x2 + 20x + 20. What are the zeros of the function using completing the square?
Step-by-step explanation:
step 1. f(x) = 5x^2 + 20x + 20
step 2. f(x) = 5(x^2 + 4x + 4)
step 3. f(x) = 5(x + 2)^2
step 4. 0 = 5(x + 2)^2
step 5. zeros: -2
Please answer the pictures provided
Answer:
-6-3
Step-by-step explanation:
Nancy was baking a cake for her mom's birthday. She spent
of her time measuring
the ingredients and of her time mixing. If Nancy spend 35 minutes on these two
4.
activities, how many total minutes did she spend baking?
34 divided by 4 is 8.5 minutes in all 4 activities.
The present age of Arun’s father is three times that of Arun. After 5 years,
what will be their ages?
Answer:
Arun father age will be 3X+5 and his age will be X+5
Tell weather each pair is parallel, perpendicular, or neither: 8x – 2y = 3
x + 4y = -1
April wrote two equations to represent this system of equations. She wrote: y = 5x +
I and y = 14x - 10. Do you agree or disagree with April?
Answer:
Disagree
Step-by-step explanation:
The lines are parallel, which means they have different y-intercepts but the same slope.
April's two equations have different slopes (5 and 14), so they do not properly represent two parallel lines.
When h(1)=-2, and h(n)=h*(n-1)+n, what is h(2)=
Answer:
h(2)=0
Step-by-step explanation:
That’s what I got when I got it wrong and I asked for the answer and I promise it’s 0
Answer:
its 0
Step-by-step explanation:
Which is a correct classification for the triangle?
O obtuse triangle
O right triangle
O acute triangle
O equiangular triangle
Answer:
obtuse triangle is the correct classification for the triangleThe correct classification of the triangle should be considered as the obtuse triangle.
What is the obtuse triangle?In the obtuse triangle here one of the angle should be considered as the obtuse angle.
In the case when the sum of the squares of the two shorter sides of a triangle should be smaller than the square of the longest side so it considered as the obtuse triangle.
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Bella has a cell phone plan in which she pays for each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26. how many minutes did she use?
Answer:
⇒Let the no. of call minute be = x
⇒& no. of text messages be = y
⇒As total number of minutes used and text messages sent last month was 561
So x + y = 561.................................(1)
⇒Now as call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26
So 8x + 5y = 3426............................(2)
On solving equation 1 & 2 we have
we got x = 354 cent
& y = 207 cent
Answer:
Step-by-step explanation:
x (354,307)
You have two cans of paint, Can A and Can B. Can A contains 80% red paint and 20% blue. Can B contains half blue and half red. How much blue paint should be added to 3 liters of Can A to make it the same as Can B?
Answer:
0.9 liters.
Step-by-step explanation:
The difference between 20% of 3 and 50% of 3 is 30%. 30% of 3 liters is 0.9 liters so this is what you add to can A.
Calculus. Find the area.
Answer:
8/3 square units.
Step-by-step explanation:
First, visualize the area. You can refer to the attachment below.
To find the area then, we will integrate y from x = 0 to x = 2. Therefore:
[tex]\displaystyle A=\int_0^2x^2\, dx[/tex]
Integrate:
[tex]\displaystyle A=\frac{1}{3}x^3\Big|_{0}^2[/tex]
Evaluate:
[tex]\displaystyle A=\frac{1}{3}[2^3-0^3]=\frac{1}{3}(8)=\frac{8}{3}[/tex]
The area is 8/3 square units.
Answer:
A = [tex]\frac{8}{3}[/tex] units²
Step-by-step explanation:
What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Thx!
Answer:
total=15 kg
so 5/15*100
=33.3
Step-by-step explanation:
can someone please help me
y=5x+1
Answer:
X= [tex]\frac{1}{5\\}[/tex] y+ 1[tex]\frac{-1}{5}[/tex]
Step-by-step explanation:
y=5x+1
Step 1: Flip the equation.
5x + 1
Step 2: Add -1 to both sides.
5x + 1 + −1 = y+ −1
Step 3:
Divide both sides by 5.
[tex]\frac{5x}{5\\}[/tex]= [tex]\frac{y-1}{5}[/tex]
Which of these ordered pairs is a solution to the inequality y - 2x < -3? ( (2,4) (-2, 3) (3, 4) (1,-1)
Answer:
(3, 4)
Step-by-step explanation:
please help me i need to get this done
Answer:
15 students are wearing sneakers.
Step-by-step explanation:
There are 33 students in total, which will compare to 11 (5+6).
33 ÷ 11 = 3
The scale factor is 3.
Sneakers: 3 x 5 = 15 students
Celia used celery, carrots, and tomatoes in a recipe. Use the clues to find the amount of each ingredient she used. CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup. CLUE 2: There is less celery than tomatoes. CLUE 3: There is less tomatoes than carrots.
Answer:
Celery = 3/8 cups
Tomatoes = 2/5 cups
Carrot = 5/4 cups
Step-by-step explanation:
CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup
CLUE 2: There is less celery than tomatoes.
CLUE 3: There is less tomatoes than carrots
From clue 2 and 3:
Tomato > Celery ; Carrots > tomatoes
From least to highest :
Celery < Tomatoes < Carrot
Arranging clue 1 in ascending order :
2/5 = 0.4
3/8 = 0.375
5/4 = 1. 25
Hence,
3/8 < 2/5 < 5/4
Celery = 3/8 cups
Tomatoes = 2/5 cups
Carrot = 5/4 cups
Twice the complement of an angle is 24 degrees less than its supplement. What is the measure of the angle?
Answer:
2(90-x)=180-x-24
solve this
180-2x=156-x
solve the rest on your own
Hope it helps!
The measure of the angle will be 24 degree.
What is Complementary angle?
When sum of two angles are 90 degrees then the two angles are called Complementary angles.
Given that;
The expression is,
''Twice the complement of an angle is 24 degrees less than its supplement.''
Now,
Let measure of an angle = x degree
The complement of an angle x = (90 - x) degree
The supplement of an angle x = (180 - x) degree
Then, By the given condition we can formulate;
2 ( 90 - x) = (180 - x) - 24
180 - 2x = 180 - x - 24
180 - 2x = 156 - x
Subtract 180 both sides;
180 - 2x - 180 = 156 - x - 180
- 2x = - x - 24
Take negative sign common,
2x = x + 24
Subtract x both side,
2x - x = 24
x = 24
Thus, The measure of the angle will be 24 degree.
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find the area of the shape using Pythagoras Theorem please
Answer:
122.09 (the answer may change depending on how many decimals you need if you need more or less just follow the steps using however many decimals)
Step-by-step explanation:
to get the other triangle side do 18-11= 7
then use the Pythagoras theorem to solve for the other side so 7^2+b^2=11^2
49+b^2= 121
121-49= b^2
72=b^2
b= 8.48(simplified)
then use that side to get the area of the rectangle:
8.42×11=92.62
then get area of the triangle:
1/2(8.42×7)=29.47
add the 2 areas to get total area:
92.62+29.47=122.09
Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) a 2 b 3 c 4 d 5
Answer:
B: 3
Step-by-step explanation:
2x
x=3 3times2= 6
6+4 =10
Hope this helps
Please help me to solve this!
Answer:
7 days im not sure
Step-by-step explanation:
can you trying giving us the answer that comes with the question if they have them
please help for brainlist ASAP and explain or no brainlist
Answer:
A
Step-by-step explanation:
because as you see the odd number is 1 its A
Answer:it’s 1/3 because it would be 1/2 to get two even number or odd so it’s 1/3
Step-by-step explanation:there’s 3 even numbers on one dice and it’s 1/2 a chance to get even and same for odds so with two dices it’s 1/3 because it’s 1/3 to get both evens and 1/3 to get both odds so it’s 1/3