Answers
Answer:
C
Step-by-step explanation:
∠ ABC = 90° ( angle in a semicircle )
Using the cosine ratio in right triangle ABC and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent }{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{10}{AC}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
AC × [tex]\sqrt{3}[/tex] = 20 ( divide both sides by [tex]\sqrt{3}[/tex] )
AC = [tex]\frac{20}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising denominator )
AC = [tex]\frac{20\sqrt{3} }{3}[/tex]
radius AO = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × [tex]\frac{20\sqrt{3} }{3}[/tex] = [tex]\frac{10\sqrt{3} }{3}[/tex] → C
Related Questions
pls help me answer this 12 to 15 questions
Answers
Answer:
Step-by-step explanation:
See attachment
12. -23C
13. 28.9% Loss
14. Diagram in the attachment. The sides can be calculated with the Pythagorean Theorem. Side = 3.61 cm
15. Use trig relationships. x = 5, y = 8.66
Write the equation of the line in fully simplified slope-intercept form.
Answers
Factorise
3-x^2
Someone answer this question please
Answers
Answer:
No factors.
3 - x^2 is prime.
Step-by-step explanation:
plz answer!!!!!!!!!!!!!!
Answers
Answer:
7
Step-by-step explanation:
i know
Is 1:4 equivalent to 12:3
Answers
Answer: no
Step-by-step explanation:
first, we have to simplify when finding if they are equivalent or not.
1:4 = 0.25
12:3 = 4:1
Answer:
Yes (if your doing fractions)
Step-by-step explanation:
If you didn’t know how to simplify you could see the greatest possible multiple that 3 and 12 share. So 3 is the greatest possible multiple because 3x4=12. So you do the denominator and numerator to divide 3 and eventually you will get 1/4. (Sorry if I’m not accurate)
10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left
Answers
Answer:
4/8 (2/4)
Step-by-step explanation:
1/4 is 2/8
He ate 2/8 pizza for dinner
Then he ate 1/4 (2/8) the next day
So he has 4/8 (2/4) pizza left
how to multiply workout
Answers
Answer:
Steps to multiply using Long Multiplication
Multiplying 2-Digit by 2-Digit Numbers
Let us multiply 47 by 63 using the long multiplication method.
1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.

2. Multiply ones digit of the top number by the ones digit of the bottom number.
Write the product as shown.

3. Multiply the tens digit of the top number by the ones digit of the bottom number.

This is our first partial product which we got on multiplying the top number by the ones digit of the bottom number.
4. Write a 0 below the ones digit as shown. This is because we will now be multiplying the digits of the top number by the tens digit of the bottom number. Hence, we write a 0 in the ones place.

5. Multiply the ones digit of the top number by the tens digit of the bottom number.

6. Multiply the tens digit of the top number by the tens digit of the bottom number.

This is the second partial product obtained on multiplying the top number by the tens digit of the bottom number.
7. Add the two partial products.

In long multiplication method, the number on the top is called the multiplicand. The number by which it is multiplied, that is, the bottom number is called the multiplier.
So, a long division problem will have:

We follow the same method for multiplying numbers greater than 2-Digits.
The figure below shows the long division method to multiply 357 by 23
Help help help help math math
Answers
Answer:
A = 192
Step-by-step explanation:
3 x 8^2
3 x 64 = 192
Mr. Smith collected 200 eggs from his chickens on Saturday. When he sorted the eggs by their sizes, he found out tha 60% of the eggs are extra-large. How many extra-large eggs did Mr. Smith collect from his chickens? need help ASAP pls
Answers
Answer: 120
Step-by-step explanation:
If similar, state if it’s AA similarity, SSS or SAS similarity
Answers
Answer:
they are not similar
Step-by-step explanation:
MN/VW=16/22=8/11
LN/UW=20/28=5/7
LM/UV=25/35=5/7
there is no information about the angles, you apply SSS but in this situation not all sides are proportional
i really need help with these two questions pleeeaassseeee
Answers
Answer:
10 is B
11 is D
Step-by-step explanation:
A flying disc has a 7 3/4 inch radius. What is its approximate circumference,
rounded to the nearest inch?
Answers
Answer:
49 in
Step-by-step explanation:
The circumference of a circle with radius r is ...
C = 2πr
The disc with the given radius has a circumference of ...
C = 2π(7.75 in) ≈ 49 in
HELPPPPP PLEASE ACTUALLY GIVE ME THE ANSWER AND NOT JUST A link PLSSS ITS DUE IN 23 MINUTESSS!!!!!!!!!!!! HELP
Answers
Answer:
4 1/9
Step-by-step explanation:
Well we can infer that the whole number will be 4. And 0.111 repeating is 1/9 as a fraction.
IM GIVING TONS OF POINTS PLEASE HELP THANKS!
The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 112
cm^2 , what is the length of the diagonal?
Answers
the answer might be 18.64 but im actually kinda du.mb so its probably not right.
Answer:
is 10 points alot? the other guy don't think so
write the sum and then write an equivalent expression by collecting like terms and removing parentheses the opposite of (5x - 1) and 5x
Answers
Answer:
remove the bracket 5x-1+5x collect like term 5x+5x-1
10x-1 is the answer
Which sentence is correct?
A. -4 > 3
B. -4< -6
C. -4 > -7
D. -5 > -4
Answers
Answer:
C. -4 > -7
Step-by-step explanation:
answer= option C
What is the greatest common factor of 24 and 9
Answers
Answer:
The Greatest Common Factor of 24 and 9 is 3.
Answer:
3
Step-by-step explanation:
the biggest number u can divide 24 and 9 commonly is 3
Help plz, no links.
Answers
Answer:
1) g = -8 (one solution)
2) b = 0 (infinitely many solutions)
3) w = 5/6 (one solution)
4) c = 0 (infinitely many solutions)
Step-by-step explanation:
1) 1/2g -4 = 2g - 1/2g + 4
1/2g -2g +1/2 g = 8
-g = 8
2) 5.3-5.3 = 2.1b + b - 3.1b
0=0
3) 3/4w+ 3/4w = 10/4 - 5/4
3/2w = 5/4
w = (5/4) / (3/2)
w = 5/6
4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5
0 = 0
Plz help I will answer any questions u have if u help me
Answers
Answer:
12. C
13. A
Step-by-step explanation:
Please help it’s multiple choice! No links
Answers
Answer:
Option A, B, and D are true.
Explanation:
A coefficient is the number that is being multiplied by a variable. For example, in 7b, 7 would be the coefficient.
Terms are the numbers used in the equation. For example, in 3 + 2, 3 and 2 would be the terms.
3n and 5m are not coefficients as there are variables included. 3n and 5m are examples of a variable.
A constant is a number that is not multiplied by a variable. For example, in 8x + 3 + 2b, 3 would be the constant.
Hope this helped :)
evaluate the expression when x= 2and y= -3 x+y
Answers
Answer:
- 1
Step-by-step explanation:
x + y ← substitute x = 2 and y = - 3 into the expression
2 + (- 3)
= 2 - 3
= - 1
Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings account for 6 year. How much money will be in her account after the 6 years?
Answers
Answer:
120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799
Select each expression that has a value of 15 when x = 15.
A. x3 + 10
B. 15,521 ÷ x
C. (3,015 ÷ x) – 186
D. 20x2 ÷ 30
E. 2x25 – 25
Answers
3,015 divided by 15=201-186=15
pls help mwah I also give brainlest <3
Answers
1. Each of 9 friends chooses her favorite positive integer
a. The median of the chosen number is 91, what is the smallest the average of the 9 chosen numbers could be?
b. The median of the chosen number is 91, is there an limit to how large the aerge of the chosen numbers can be? If so, what is the largest the average can be?
c. The average of the chosen number is 91, what is the smallest the median of the 9 chosen numbers could be?
d. The average of the chosen numbers is 91. What is the largest the median of the chosen numbers could be?
Answers
Answer:
a) 1
b) There is no limit to which the largest number can be because we are only given information about the median.
c) 1
d) 90
Angelina has 32 cookies. Jerry had 51 cookies. If Jerry stole 14 of Angelina's cookies but then gave her 28 cookies, how many cookies do Jerry and Angelina have left?
Having a hard time!
Answers
Answer: They have 83 cookies all together.
Step-by-step explanation: First we have to do 32 - 14, because Merry stole 14 of Angelinas cookies, so 32 - 14 = 18. So, she has 18 cookies left. Then if he gave her 28 cookies, we do 18 + 28 = 46. So we know that Angelina has 46 cookies. Now we do the same thing with Jerry. So since jerry took 14 of Angelinas cookies, we do 51 + 14 = 65. Then we do 65 - 28, since he gave her 28 cookies, so 65 - 28 = 37. So Jerry has 37 cookies, and Angelina has 46 cookies. Then we add them up since they are asking for the total, 37 + 46 = 83.
This is represented as 32-14=18 and 51+14=65
Then Jerry gave 28 of his 65 cookies and he is now left with 37 cookies and Angelina is left with 46 cookies!
This is represented as 65-28=37 and 18+28=46
Hope this helps!!
What are the terms in the expression 2d+7+5f
Answers
Answer:
3 terms 2d,7 and 5f
Step-by-step explanation:
Answer:
The answer would be 2d 7 5f hope this helps
Step-by-step explanation:
What is the next term of the geometric sequence?
108, 36, 12,
Pls lmk
Answers
Answer:
4
Step-by-step explanation:
Answer: 4
Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)
How do I solve this?
Answers
Answer: A: 3x^2y^(3/2)
Step-by-step explanation:
This can be written as
(81*x^8*y^6)^(1/4)
Then multiply each exponent by (1/4):
81^(1/4)*x^(8(1/4))y^6(1/4))
81^(1/4) = 3
x^(8(1/4)) = x^2
y^6(1/4)) = y^(3/2)
The result: 3x^2y^(3/2)
FOOTBALL Tyrell plays running back
and kicks field goals for his team. He
scores 6 points for a touchdown and
3 points for a field goal. In his last
game, he scored 24 points. This can be
represented by the function
6x + 3y = 24. Find the x- and
y-intercepts. Interpret the x- and
y-intercepts.
=
Answers
Answer:
x-intercept(s):
4,0
y-intercept(s):
0,8
Step-by-step explanation: