Answer:
68°
Step-by-step explanation:
The sum of all internal angles of a circle always total 360°.
So, we can add the three angles (ADB, BDC, ADC) and equate them to 360°.
90 + (2x+1) + (2x-3) = 360
90 + 4x -2 = 360
4x - 2 = 360 - 90
4x - 2 = 270
4x = 272
x = 272/4
x = 68°
From here, you can find any of the two unknown angles by simply plugging in x = 68°.
Feel free to ask me if you didn't understand any part :D
Hope this helps!
Factor the expression 8a + 16c
-2(a - 8)
6(a - 3c)
4c(2a - 4)
8(a + 2c)
Part B
Based on your answer to the previous question, evaluate the expression for a=4 and c= 3.
-30
48
80
8
Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
It starts at 25 and then it stops at 38.
I hope this helps!
Answer:
hi
Step-by-step explanation:
I don’t understand what it means by find the mid points someone pls help I’m so behind
Division in a given ratio
In a class of 30 pupils the ratio of the number of boys to the number of girls is 7 : 8. How many girls are there?
Step-by-step explanation:
let the ratio 7:8 be 7x and 8x.
now
7x+8x=30
or, 15x=30
or, x= 30/ 15
or, x= 2
here
no. of boys = 7x= 7*2 = 14
no. of girls= 8x = 8*2= 16
hope this helps u...
Answer:
16 girls
Step-by-step explanation:
sum the parts of the ratio, 7 + 8 = 15 parts
Divide the number of pupils by 15 to find the value of one part of the ratio.
30 ÷ 15 = 2 pupils ← value of 1 part of the ratio, then
8 parts = 8 × 2 = 16 ← number of girls
Ten friends shared a bag of popcorn. Using p to represent the bag of popcorn, which expression represents the amount each friend received? *
1 point
p / 10
10 - p
10p
10 + p
If you travel at 70 mph, write an equation to show how far you have traveled (y) in x hours
Answer:
y = 70x
Step-by-step explanation:
The radius of a circle is 8 units.
What is the diameter of the circle?
units
Answer:
16
Step-by-step explanation:
radius is 1/2 of diameter
Answer:
16 units
Step-by-step explanation:
When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.
Three cards are selected one after the other from a standard deck of 52 cards.
What is the probability that all three cards are spades if none of the first two cards is replaced?
Answer:
[tex]\frac{11}{850}[/tex]
Step-by-step explanation:
Let's see
The probability of the first card being a spade is 13/52 (as there's 13 spades in the deck.
The probability for the second card is 12/51 (because there's 12 spades left in 51 cards total).
The probability for the third is - you guessed it! - 11/50
so the total probability is:
[tex]\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{11}{50} = \frac{1}{4} \cdot \frac{4}{17} \cdot \frac{11}{50} = \frac{1}{17} \cdot \frac{11}{50} = \frac{11}{850}[/tex]
A more generic solution:
Let's use the binomials to find the solution with combinations:
We need to pick 3 cards out of 13. This can be done in
[tex]\binom{13}{3} = \frac{13!}{3!\cdot10!}[/tex] ways.
And the total number of ways to pick 3 cards out of 52 is:
[tex]\binom{52}{3} = \frac{52!}{3!\cdot 49!}[/tex]
So the probability is:
[tex]\frac{ \binom{13}{3} }{ \binom{52}{3} } = \frac{ \frac{13!}{3!\cdot 10!} }{ \frac{52!}{3!\cdot 49!} } = \frac{ \frac{13!}{10!} }{ \frac{52!}{49!} } = \frac{13 \cdot 12 \cdot 11}{52 \cdot 51 \cdot 50}[/tex]
Which again brings us to the result computed before.
What is the area of a circle if the diameter is 9cm?
Round to the nearest hundredth (0.01cm2)
Answer: A≈63.62
Step-by-step explanation:
9/2= 4.5
A=πr2=π·4.52≈63.61725
Answer:
To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π
The sum of 3 times a number and another number is 34. Five times the first number minus the other number is 38. What are the two numbers. The numbers are 3 and 11. The numbers are 9 and 7.
Answer:
3+11+9+7
Step-by-step explanation:
You add all the numbers
An entrepreneur sold a damage bedspread for $130.50, there by making a loss of 13% on the cost price. Determine the cost price of the bedspread.
Answer:
130.50 X 13% = $16.97
130.50 - 16.97 = 113.53
Answer 113.53
Step-by-step explanation:
Please help.
Is algebra.
Answer:
7 acd 8 use mathpapa or desmos graphing calculator
Step-by-step explanation:
7 acd 8 use mathpapa or desmos graphing calculator
Solve each of these equations.
1. 2(x+5)=3x+1
2. 3y−4=6−2y
3. 3(n+2)=9(6−n)
Answer:
1. x=9
2. y=2
3. n=4
hello just helping out!
Helpppppp please look at the picture i added
val Verde Unified SD
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Personal Math Trainer Lesson 6.2 - Homework - Homework
112131415161718
9
10
Gordon types 1,612 words in 26 minutes. Find the unit rate.
Gordon types
words per minute.
Answer:
nothing to do with your question just need points
Step-by-step explanation:
Answer:
62 Words Per Minute
Step-by-step explanation:
Big brain go thinky-think.
How long is the wire that supports the tree
10
5.6 ft
3.3 ft-
Please helppppp!!!
Convert 2/7 to a decimal.
Round to the nearest hundredth.
Answer:
0.29
Step-by-step explanation:
I know
37.286 to the nearest hundredth
Answer:
37.3
Step-by-step explanation:
Answer:
37.29
Step-by-step explanation:
TRIG HW; find missing side by using trignometry
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
the above is really helpful if you don't have a brain. :P
for 7 we only need Pythagoras's theorem, know it?
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]
out of curiosity.. does the above formula seem "impossible" ? or does it make sense?
[tex]c^{2}[/tex] = [tex]12^{2}[/tex] + [tex]16^{2}[/tex]
[tex]c^{2}[/tex] = 144 + 256
[tex]c^{2}[/tex] = 400
c = [tex]\sqrt{400}[/tex]
c = 20
x= 20
for 8 we do need the above list of trig functions. we want to find the Hyp x and we know an angle and the adjacent side sooo use Cos .. b/c we can see it's got those parts in it
Cos(60) = 18 / x
I'll show you the algebra we need to use to get this formula so that we can find x
A = B / x ( this is how it looks above )
x = B / A , now just put in the parts
x = 18 / Cos(60) now solve it w/ your calculator.. :P Cos(60) happens to be 1/2 so you could have done this w/o your calculator :/
x = 36
there you go, :)
Your friend uses 2 1/2 ounds of dried fruit and 1/2 pound of raisins to make trail mix.How many 1/2 pound packages can he make.
Answer:
he can make 6 because 2 and 1/2 plus 1/2 = 3 and 3 divided by 2 is 6
Step-by-step explanation:
A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.
Please use an algebraic equation to find the answer and show your working out if possible!!
Answer:
8 and 36
Step-by-step explanation:
let the daughter's age be x then father is x + 28
In 6 years their ages are
x + 6 and x + 28 + 6 = x + 34
Father is 3 times her age , then equation is
x + 34 = 3(x + 6) ← distribute
x + 34 = 3x + 18 ( subtract x from both sides )
34 = 2x + 18 ( subtract 18 from both sides )
16 = 2x ( divide both sides by 2 )
8 = x
Daughter's age is 8 and father's age is 8 + 28 = 36
17+36=z-37 what is z
Answer:
The correct answer is 90
Step-by-step explanation:
17 + 36= z- 37 ADD 17 AND 36
53= z-37 BRING 37 OVER TO 53 AND ADD
z = 90 FINAL ANSWER
Which properties describe the graph of (x + 5)2 + (y – 10)2 < 169?
a. circle with center at (–5, 10), shading inside the circle
b. circle with center at (5, –10), shading inside the circle
c. circle with center at (5, –10), shading outside the circle
d. circle with center at (–5, 10), shading outside the circle
Answer:
a. circle with center at (–5, 10), shading inside the circle
Step-by-step explanation:
I have a quizlet for those towards the end of the course aka Cameron its
HELI KADAKIA to study ofc
The graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given equation of the graph is f(x + 5)² + (y – 10)² < 169. When we plot the equation we get the circle having an inside shaded part. The coordinates of the circle are (5,-10).
Therefore, the graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.
To know more about circles follow
https://brainly.com/question/24375372
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solve the inequality
10 - 6x < 70
Answer:
x > -10
Step-by-step explanation:
10 - 6x < 70
-10 -10
-6x<60
/-6. /-6
(flip sign)
x>-10
Answer:
This is the answer x < 5
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?
Answer:
The answer is "393 ft".
Step-by-step explanation:
Please find the complete question in the attachment file.
Using formula:
[tex]\to \bold{C =2\pi r}\\\\[/tex]
put the value in the above formula:
[tex]=2\times \frac{22}{7} \times 62.5\\\\=\frac{2750}{7}\\\\=392.857143 \approx 393[/tex] ft
A store advertises 15% off an item that regularly sells for $300. what is the sale item? how is a 15% discount similar to a 15% decrease? Explain.
Answer: $255
Step-by-step explanation:
A store advertises 15% off an item which sells for $300. The sale item will then be calculated as:
= $300 - (15% × $300)
= $300 - (0.15 × $300)
= $300 - $45
= $255
The sales price is $255.
A 15% discount is similar to a 15% decrease because in both cases, one has to subtract the value of 15% from the selling price.
In the figure above, RT = TU. What is
the value of x ?
A) 72
B) 66
C) 64
D) 58
Answer:
C. 64
Hope that helps you
The value of the angle x is calculated as: ∠x = 64
How to find the value of the missing angle?Let the intersect of line SV and RT be Y
Sides RTU forms a triangle, and the sum of the interior angles of a triangle is 180.
Since RT = TU, ∠TRU = ∠TUR = z
114 + z + z = 180
114 + 2z = 180
2z = 180 - 114
2z = 66
z = 66/2
z = 33
Line STU is a straight line and the angle of a straight line is 180. Thus:
114 + ∠STR = 180
∠STR = 180 - 114
∠STR = 66
Also, sides SYT is forms a triangle and the sum of all interior angles of a triangle is 180. Thus:
66 + 31 + ∠SYT = 180
97 + ∠SYT = 180
∠SYT = 180 - 97
∠SYT = 83
But ∠SYT = angle RYV = 83
sides RYV form a triangle and the sum of all interior angles of a triangle is 180
33 + 83 + ∠x = 180
116 + ∠x = 180
∠x = 180 - 116
∠x = 64
Read more about Missing Angle at: https://brainly.com/question/28293784
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Which fraction is equal to 36%?
Answer:
[tex] \frac{36}{100} = \frac{9}{25} [/tex]
Step-by-step explanation:
3600%/100% cancel them you will get 36% answer..
Find the cosine of angle E.
A) 39/80
B) 39/89
C) 80/39
D) 80/89
Answer:
B) 39/89
Step-by-step explanation:
With reference angle E
hypotenuse (h) = 89
base (b) = 39
cosine angle E
= b /h
= 39/89
Admission into an amusement park for 4 children
and 2 adults is $116.90. For 6 children and 3 adults,
the admission is $175.35. Assuming a different price
for children and adults, what is the price of the child's
ticket and the price of the adult ticket?
Answer:
A child ticket costs $16.50 and an adult ticket costs $25.45.