Answer:
21.
Step-by-step explanation:
M a t h .
R
SECTION II (50 MARKS)
Answer ANY FIVE questions in this section.
17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120
a) Calculate the length of AB, correct to one decimal place (4marks)
Answer:
17.4cm
Step-by-step explanation
17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120
To get the length of AB, we will use the cosine rule
AB² = BC² + AC² - 2(BC)(AC) cos <ABC
AB² = 8² + 12² - 2(8)(12) cos 120
AB² = 64 + 144 - 192cos12
AB² = 208 - (-96)
AB² = 208 +96
AB² = 208 - (-96)
AB² = 304
AB² = 17.4cm
Hence the length of AB is 17.4cm
substitute the value of (p) you just found, 285.7, into one of the equations in the system
Answer: 214.28
Step-by-step explanation:
find the interior angles of a regular polygon which has 6, 10 and 20 sides
Answer:
(6)=120°
(10)=72°
(20)=36°
Step-by-step explanation:
(n-2)×180°
(6-2)×180°=720°
6÷720°=120°
10÷720°=72°
20÷720°=36°
Find the value , i got 8 but not in options pls confirm
Answer:
E
Step-by-step explanation
24/7+2 = 38/7
if you plus them they are the same
Sara spent $27 on three volleyballs. How much did each volleyball cost?
What's the value of
[tex] \sqrt{21 \times 21 \times 2 \times 2} [/tex]
Answer:
42
Step-by-step explanation:
as there two equal numbers of both 21 and 2 then the outcome will be just 21×2=42
Answer:
Hey!
Your answer after multiplying would be[tex]\sqrt{1764}[/tex] which equals 42.So, the answer is:-42!Hope this helps you!
:)
A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $1.50 per slice of pizza. Nasim purchased a membership to this pizza shop. How much would Nasim have to pay the pizza shop if he bought 20 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Answer: Nazim have to pay $35 for 20 slices of pizza.
Monthly cost for x slices = 5+1.5x
Step-by-step explanation:
Let x = number of slices
As per given,
Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)
i.e. Total monthly cost for x slices = 5+1.5x
If x=20
Then, Nazim have to pay = 5+1.5(20)
= 5+30= $35
i..e Nazim have to pay $35 for 20 slices of pizza.
Monthly cost for x slices = 5+1.5x
the table shows the cost of downloading songs from a web site
Answer:
I dont see a table :/
Step-by-step explanation:
Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a bead that is not green?
Answer: 13/20
Step-by-step explanation:
Total number of beads: 20+14+10+28+8=80
Green beads out of the total 80: 28
Non-green beads out of the total 80: 80-28=52
The probability of Christina choosing a bead that is not green is the number if non-green beads divided by the total number of beads, so 52/80, which simplifies to 13/20
The probability of Christina choosing a bead that is not green is the number if non-green beads divided by the total number of beads is 13/20.
What is the probability?It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Total number of beads
=20+14+10+28+8
=80
Green beads out of the total 80: 28
Non-green beads out of the total 80:
=80-28
=52
The probability of Christina choosing a bead that is not green is the number if non-green beads divided by the total number of beads, so 52/80, which simplifies to 13/20.
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My brain cells can never with highschool geometry, help
Answer:
4
Step-by-step explanation:
Come on mate this is easy
small square = 1
triangles = 1 too
big triangles = triangles + 2 so big triangles = 2
2+1+1 = 4 -_-
The ratio of cars to trucks in a parking lot was 5:2. The ratio of trucks to bicycles in the parking lot was 1:4. If there were 20 cars in the lot, how many bicycles were in the lot
Answer:
16 Bicycles
Step-by-step explanation:
A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
Answer:
9.91%
Step-by-step explanation:
cost price= 400
selling price=444
profit made= 444-400
= 44
profit percentage= 44/444 ×100
=9.91%
[tex]\frac{33}{4-\sqrt{5\\} }[/tex]
Answer:
[tex]12+3\sqrt{5}[/tex]
Step-by-step explanation:
[tex](\frac{33}{4-\sqrt{5}})(\frac{4+\sqrt{5}}{4+\sqrt{5}})=\frac{132+33\sqrt{5}}{16-5}=\frac{11(12+3\sqrt{5})}{11}=12+3\sqrt{5}[/tex]
solve for x
20
33
14
Step-by-step explanation:
by basic proportionality therom
x/33=14/20
20×x=14×33
20x=462
x=462/20
x=23.1
The value of x from the triangle is x = 22.1
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the triangle be ABC and ADE
The triangles ΔABC ≅ ΔADE
Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
So , the ratio of the sides will be
AD / AB = AE / AC
Substituting the values in the equation , we get
14 / 20 = x / 33
Multiply by 33 on both sides of the equation , we get
The value of x = ( 14 x 33 ) / 20
The value of x = 462 / 20
The value of x = 23.1
Therefore , the value of x is 23.1
Hence , The value of x from the triangle is x = 22.1
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It costs $10 to enter a petting zoo. Each cup of food to feed the animals is $2. If you have $14, write and solve an equation to determine how many cups of food you can buy.
PLEASE WRITE AN EQUATION
Answer:
5 cups
Step-by-step explanation:
To do this simply, we can just count up how many cups we can buy.
starting balance=
$12.50
after cup 1=
12.5−2.5=$10.00
after cup 2=
10−2.5=$7.50
after cup 3=
7.5−2.5=$5.00
after cup 4=
5−2.5=$2.50
after cup 5=
2.5−2.5=$0.00
From this, we can see that after buying the 5th
cup, the buyer is out of money, so that means that you can buy
5 cups of food to feed the animals before running out of money.
The number of cups is 2 cups
The equation is y = 2x + 10 where the slope of the equation x is the number of cups and y is the total amount
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of cups be = x
The total amount y = $ 14
The cost of entering the zoo = $ 10
The cost of of feeding the animals per cup = $ 2
So , the equation will be
Total amount y = cost of entering the zoo + ( total number of cups x cost of of feeding the animals per cup )
Substituting the values in the equation , we get
y = 2x + 10 be equation (1)
On simplifying the equation , we get
14 = 2x + 10
Subtracting 10 on both sides of the equation , we get
2x = 4
Divide by 2 on both sides of the equation , we get
x = 2 cups
Therefore , the value of x is 2 cups
Hence , the number of cups is 2 cups
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Use the coordinate plane. Identity the ordered pair
that names each point.
PLEASE ANSWER THIS IS URGENT
Answer:
A= (-1.5, 1)
B= (0.5, -2)
C= (-1, -1.5)
D= (1, 1.5)
Shifts in demand worksheet At every grocery store in the area, the price of hot dogs has been at an all-time high.
Answer:
The answer is "Hot dog buns".
Step-by-step explanation:
In the given scenario, it increased the hot dog prices result in a reduction in hot dog bun production. Complementary products are hot dogs including hot dog buns. Therefore the curve of demand is moving to the left. Please find the image file in attached.
50 POINTS if p=(-2,-1) and Q=(-6,-3) are the endpoints of the diameter of a circle, find the equation of the circle
Answer:
(x+4)^2 + (y+2)^2 = 5
Explanation:
Using the midpoint formula, we find that the center of the circle is (-4, -2). We also calculate using the distance formula that between the two points is [tex]\sqrt{2\\0}[/tex]or [tex]2\sqrt{5\\\\}[/tex].
Because we found the diameter, to find the radius we divide by two, getting [tex]\sqrt{5\\\\}[/tex].
Now that we have the center, (-4, -2), and the distance from the center to the radius, we can put the information into the circle equation:
(x-h)^2 + (y-k)^2 = r^2
This becomes:
(x+4)^2 + (y+2)^2 = 5
Answer:
-4 , -2 , 5Step-by-step explanation:
(x-(-4))^2+(y-(-2))^2=5
since 2 negatives equal a positive, - -4 = +4
same thing for -2
(x+4)^2+(y+2)^2=5
Which expression is equivalent to 2(3g - 4) - (8g + 3)?
Answer:
Step-by-step explanation:
6g - 8 - 8g - 3
-2g - 11
Answer:
-2g - 11
Step-by-step explanation:
2(3g - 4) - (8g + 3)
Use the distributive property to multiply 2 by 3g - 4.
6g + 2(-4) - (8g + 3)
6g - 8 - (8g + 3)
Find the opposite of 8g + 3.
6g - 8 - 8g - 3
Combine like terms.
-2g - 8 - 3
Subtract 3 from -8 to get -11.
-2g + 11
The expression equivalent to 2(3g - 4) - (8g + 3) is -2g - 11.
Oliver uses 30 fruits to make a large batch of pineapple-orange juice. He uses 5 oranges for every 1 pineapple. He gets 2.5 fl oz of juice from each orange and 20 fl oz of juice from each pineapple
Answer:
isnt like 40 the answer (im sorry if im wrong 3rd grader)
Step-by-step explanation:
Help me, please!!
A triangle is shown with one side being 110 and the other 25 what is X?
Group of answer choices
110
25
180
45
Answer: 45
Step-by-step explanation:
110+25 is 135 180 minus 135 is 45
1.) Phoebe has a hunch that older students at her high school are more likely to bring
a bag lunch than younger students, because they have grown tired of cafeteria
food. she takes a simple random sample of 80 sophomores and finds that 52 of
them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of
them bring a bag lunch. Does this data provide convincing evidence to support
Pheobe's hunch at the 5% significant level?
2.)Interpret the P-value in context
The data in this experiment is not convincing enough to prove the hypothesis.
What is convincing evidence?In an experiment, convincing evidence means the data collected is relevant and accurate enough to prove the hypothesis. For the data to be considered convincing it should:
Prove the hypothesis: This condition is satisfied because the data collected can prove older students are more likely to bring a bag lunch.Be collected using random samples: This condition is satisfied because students were selected randomly.Consider the standard or norma: This condition is met because the research compares the number of sophomore students that bring a bag lunch vs the number of seniors.7Moreover, the P-value should be always smaller than the significant level. In the case of this study, the P-value is 0.069, which means it is greater than the significant level 0.05 and this causes the data is not convincing enough.
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HELP plsssssssss!!!!!
Answer:
AA
Step-by-step explanation:
∠N and ∠E = 44°
∠A equals ∠A at 33°
Factor 3n^4 – 42n^3 + 147n^2
with work plasss
Answer:
3n^2(n−7)^2
Hope this helps you a lot!!!! Also sorry I dont have work its hard to explain on a computer.
The shadow of a 100 m long vertical pole is
of 10 m. Then what will be the angle of
inclination? Round your answer to the
nearest tenth of a degree.
pls help me my homework is due in a couple hours
Answer:
I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25
What is the Mode? 21,28.27.26.27.27.33.28.26.31
Answer:
The mode is 27.
Step-by-step explanation:
To find the mode we must first put them in order from least to greatest.
21, 26, 26, 27, 27, 27, 28, 28, 31, 33
The mode means the most common number out of the data. Therefore since 27 is the most common number, it is the mode.
Hey there!
The mode is basically the number you see MORE THAN ONCE.
So, the numbers in your data plot is/are
“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”
(I’m assuming)
21 is shown ONE TIME
28 is shown TWO TIMES
27 is shown THREE TIMES
26 is shown TWO TIMES
33 is shown ONE TIME
31 is shown ONE TIME
THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times
Answer: 27
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
CNJ
하
2 15find the zeros of the quadratic polynomial and verify the relationship between the zeros and coefficients T square - 15
Step-by-step explanation:
Here is your answer in the attachment.
Hope it helps :)
posting this again, PLS help !!!
Answer:
A) They will pay more with the new price plan than the current one.
B) The new price plan is cheaper for 7 games.
Step-by-step explanation:
Current price charges;
$3 to rent shoes
$4 per game
New price plan;
$11 to rent shoes
$2 per game
A) If a customer rents shoes and plays 2 games;
At current price;
Cost = 3 + 4(2) = $11
At new price plan;
Cost = 11 + 2(2) = $15
Thus, they will pay more with the new price plan than the current one.
B) Customer bowls 7 games;
At current price;
Cost = 3 + 4(7) = $31
At new price plan;
Cost = 11 + 2(7) = $25
Thus, the new price plan is cheaper for 7 games.
Ted Pappas pays
$4,388.65 in real estate taxes yearly.His property has a market value of
$119,340.00 with a rate of assessmentof 42%. What is his tax rate to the
nearest tenth of a mill?
PLEASE HELP ME THIS IS DUE TODAY!!!!!!!!!!!
Answer:
$ 501.23
Step-by-step explanation:
Sales Tax Calculations
Net Price is the tag price or list price before any sales taxes are applied.
Total Price is the final amount paid including sales tax.
Sales Tax Amount = Net Price x (Sales Tax Percentage / 100)
Total Price = Net Price + Sales Tax Amount
Solve
Net Price x (Sales Tax Percentage / 100)
119,340.00 x 42%/100
Total Price = Net Price + Sales Tax Amount
501.23