Answer: 24
Step-by-step explanation:
Based on the inscribed angle theorem, the measure of angle CAB in circle (O) is: A. 24 degrees.
The inscribed angle theorem.According to the inscribed angle theorem, the measure of an inscribed angle whose vertex lies on a circle is always half the measure of the intercepted arc that is subtended at a point on the circle.
Given the following data:
Inscribed angle = ∠CABIntercepted arc = 48°Based on the inscribed angle theorem, we have:
∠CAB = ∡CB/2
∠CAB = 48/2
∠CAB = 24 degrees.
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j(m) = 2m-1
What is j(4) ?
Enter your answer in the box.
Final answer:
To calculate j(4), we plug in 4 into the function j(m) = 2m - 1, which gives us j(4) = 7.
Explanation:
To determine the value of j(4) in the given function j(m) = 2m - 1, a straightforward substitution is applied. By replacing the variable m with the provided value of 4, the expression j(4) is computed as 2 × 4 - 1, yielding 8 - 1, which simplifies to 7. Therefore, the value of j(4) is unequivocally established as 7. This process exemplifies the fundamental concept of function evaluation, showcasing how input values substitute variables within a function, ultimately producing a specific numerical result for a given function and input combination.
sophia pays a $19.99 membership fee for an online music store. If Sophia purchases n songs for $0.99 each, write an expression for the total cost.
A
0.99n−19.99
B
0.99n+19.99
C
0.99n×19.99
D
0.99n19.99
Part B
If she buys two songs from a new album, what is the total cost?
help me asap
Answer:
Step-by-step explanation: B
!! How could it be s
The solution to the system of equations are (2, 5).
Solution:
The system of equations are
x + y = 7 – – – – (1)
2x – y = –1 – – – – (2)
To find x from equation (1):
x + y = 7
Subtract y from both sides of the equation, we get
⇒ x + y – y = 7 – y
⇒ x = 7 – y – – – (3)
Substitute (3) in (2) we get,
2(7 – y) – y = –1
14 – 2y – y = –1
14 – 3y = –1
Subtract 14 from both sides,
–3y = –15
Divide by –5 on both sides,
y = 5
Substitute y = 5 in equation (3)
x = 7 – 5
x = 2
The solution to the system of equations are (2, 5).
(−9+6.8−1.2)·(−0.49−0.51)
Answer:
3.4
Step-by-step explanation:
(−9 + 6.8 − 1.2) · (−0.49 − 0.51)
(−3.4) · (−1)
3.4
Answer:
3.4
Step-by-step explanation:
(−9 + 6.8 − 1.2) · (−0.49 − 0.51)
(−3.4) · (−1)
3.4
A circle with radius 9 has a sector with a central angle of 120°
What is the area of the sector?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal
Step-by-step explanation:
[tex]radius = 9[/tex]
[tex]central \: angle = 120 \times \frac{3.14or\pi }{180} radian[/tex]
[tex]central \: angle = 2.09334 \: approximately = 2.1[/tex]
[tex]area \: of \: sector = \frac{1}{2} \times {r}^{2} \times central \: angle[/tex]
[tex]putting \: the \: values[/tex]
[tex]area \: of \: sector = \frac{1}{2} \times {9}^{2} \times 2.1[/tex][tex] = \frac{1}{2} \times 9 {}^{2} \times 2.1[/tex]
[tex]area \: of \: sector \: = 85.05 {m}^{2} [/tex]
Answer:
27π square units
Step-by-step explanation:
Note that a central angle of 120° is exactly 1/3 of a full circle.
So to find the area of this sector, find the area of the whole circle and divide your result by 3:
A = (1/3)π(9)^2 = 27π square units
What is 18 divided by 82.8
Answer:
0.2173913043
Step-by-step explanation:
the answer is 0.21739
What is 7,211 divided by 58?
Answer:
Approximately 124.327586
Step-by-step explanation:
Hope this helped.
Answer:
124.3275862068966
Step-by-step explanation:
I put it in my calculator
The square root of 1000 is between __________ .
A
498 and 502
B
98 and 102
C
48 and 52
D
28 and 32
The square root of 1000 is between 28 and 32. so option D is correct.
How to find the closest integer less than and greater than the square root of a number?The function is strictly increasing function for x ≥ 0.
Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too.
That means, we've got:
[tex]x_1 < x_2 < x_3 \implies \sqrt{x_1} < \sqrt{x_2} < \sqrt{x_3} \: \text{(such that } x_1 \leq 1[/tex]
Perfect square are those integers whose square root is an integer.
Let x-a be the closest perfect square less than x and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).
Then, we get:
[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]
We need to find the square root of 1000
So, the square root of 1000 is 31.6227766017
[tex]\sqrt{1000} = 31.622[/tex]
Thus, The square root of 1000 is between 28 and 32. so option D is correct.
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The square root of 1000 lies between 28 and 32, so the correct answer matches option D.
To determine the square root of 1000, we need to find two consecutive integers between which this value lies. We know that:
The square root of 900 (which is 30²) is 30.
The square root of 1024 (which is 32²) is 32.
Therefore, the square root of 1000 lies between 30 and 32.
This matches option D which states between 28 and 32.
15. MODELING REAL LIFE You use a computer
program to transform an emoji. How can
you transform the emoji as shown?
(Picture above)
Answer:
either rotate it right 90 degrees or one quarter rotation or rotate it left 270 degrees or three quarters rotation.
Step-by-step explanation: either one works. could you please give me crow, i rly need it i just need two more. it wold help so much.
Divide Whole Numbers by Unit Fractions Quiz How many 1/5 s are in 9? A. 5/9 B. 9/5 C. 45 D. 4 1/2
Is 2/6 equivalent to 20%
Answer:
2/6 is NOT equivalent to 20%
Step-by-step explanation:
2/6 is NOT equivalent to 20%
Reason :
To convert 2/6 to percentage
Multiply 2/6 by 100
That is ,
= 2/6 × 100 %
= 1/3 × 100 %
= 100/3 %
= 33.33%
33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%
I hope this was helpful, please mark as brainliest
Dalton loses weight at a rate of 4% per week. the following function represents his weight loss after x weeks. W(x)=2(1.04)^x. Write the expression that reveals his approximate rate of weight loss per day.
Answer (1.04x=2. X=30103/.017033= 17.673
Answer:
Step-by-step explanation:
(1.006)^7x
What is the sum of the first five positive integers?
Answer:
15
Step-by-step explanation:
1+2+3+4+5 = 15
The perimeter of the triangular park shown on the right is 10x - 3. What is the missing length?
Answer:
6x - 1
Step-by-step explanation:
Okay this is basically polynomial algebra:
1. Add the value of the lengths already given.
like terms: 3x + x = 4x, -4 + 2 = -2. Now you're left with, 4x - 2.
2. Find the difference between the perimeter and the sum of the lengths.
(10x -3) + (4x + 2) = 6x - 1
The perimeter of a rectangle is 18x – 24 and the width is
2x – 9. What is the length?
A: -7x + 3
B: 16x + 15
C: 7x - 3
D: 7x + 3
Answer:
C
Step-by-step explanation:
18x - 24 = 2 [length + 2x - 9]
9x - 12 = length + 2x - 9
Length = 7x - 3
Answer:
C: 7x - 3
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
We know the perimeter is 18x -24 and the width is 2x-9. Substituting these values into the equation
18x-24 = 2( l+2x-9)
Divide each side by 2
(18x-24)/2 = 2/2( l+2x-9)
9x-12 = l+2x-9
Add 9 to each side
9x-12 +9 = l+2x-9+9
9x -3 = l+2x
Subtract 2x from each side
9x-2x-3 = l+2x-2x
7x -3 = l
The length is 7x-3
The ratio of pencils to pens in the drawer is 8:14. If there are actually twice as many pencils as in the ratio, how many pencils and pens are there in the drawer?
A. 8 pens, 14 pencils
B. 8 pencils, 14 pens
C. 16 pens, 28 pencils
D. 16 pencils, 28 pens
Yo sup??
let the number of pencils and pens be 8x and 14x
x=2
therefore the number of pens and pencils are
16 pencils and 28 pens
Hope this helps
As the actual no. of pencils is double than that of the given ratio it is
C. 16 pens, 28 pencils
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The ratio of pencils to pens in the drawer is 8 : 14, so for every 14 pencils, there are 8 pens.
Given, there are actually twice as many pencils as in the ratio.
Therefore actual no. of pencils are (2×14) = 28 pencils.
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How to do this problem -40=12x+8
First subtract 8 from 8 and -40 because it is even.
Then divide -48 by 12, which equals -4.
Hope this helped! If it didn't, tell me what went wrong or confused you.
Answer:
The answer is x=-4
Step-by-step explanation:
-40=12x+8
-8 -8
-48=12x
-48/12=x
-4=x
I need help with this one please do not do decimals!
I've attached the picture you need below. 1 3/4 is equal to 1 6/8 as well, so that is why the first one is placed over there.
Answer:
joja90 did it all theres no point explaining anything now lol
Step-by-step explanation:
What is the edge length of 216 cubic inches?
The edge length of a cube with a volume of 216 cubic inches is 6 inches.
To find the edge length of a cube with a volume of 216 cubic inches, we can use the formula: Volume = [tex]edge length^3[/tex]. This formula tells us that the volume of a cube is equal to the edge length raised to the power of 3.
Given that the volume is 216 cubic inches, we can rearrange the formula to solve for the edge length. Let's call the edge length "x":
[tex]x^3 = 216[/tex]
To find the value of x, we need to find the cube root of 216. The cube root of a number is the number that, when multiplied by itself three times, equals the original number.
In this case, the cube root of 216 is 6, because 6 x 6 x 6 = 216.
Therefore, the edge length of a cube with a volume of 216 cubic inches is 6 inches.
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A grocery chain conducts a random survey of sales in stores to determine the types of juice to restock. The results are shown on the table. Which juice is MOST LIKELY to sell BEST when restocked? AN) Organic Apple Juice B) Organic Grape Juice C) Organic Pineapple Juice D) Grape Juice (from concentrate)
Answer:pineapple juice
Step-by-step explanation:
Solve for x (round to the nearest tenth)
Step-by-step explanation:
By Geometric mean property:
[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]
PLZ HELP ASAP Your favorite snack l, peanut butter pretzels, is available in a 15-oumch size for $4.05. The 32-ounce size sells for $8.32. Which size is the better buy
Answer:
The better one is 32- ounce hope this helps and please make me the brainliest
Step-by-step explanation:
How much further up the wall does the ladder in figure 2 reach than
the ladder in figure 1 (to the nearest tenth of a foot)?
The ladder in figure 2 reaches 3.2 feet further up than the ladder in figure 1.
Step-by-step explanation:
Step 1:
In both the given figures, the ladder, the wall and the floor form a right-angled triangle. The floor is the adjacent side, the wall is the opposite side and the ladder is the hypotenuse.
According to the Pythagorean theorem,
[tex]a^{2}+b^{2}=c^{2}[/tex], where c is the length of the hypotenuse while a and b are the lengths of the other two sides.
Step 2:
For the ladder in figure 1, assume the distance from the floor to the ladder's top is x feet. So a = x, b = 8 and c = 10 (hypotenuse).
[tex]a^{2}+b^{2}=c^{2}[/tex], [tex]x^{2}+8^{2}=10^{2}[/tex], [tex]x^{2}=100-64=36, x=\sqrt{36}=6 \text { feet }[/tex].
So the distance between the floor and the ladder's top is 6 feet.
Step 3:
For the ladder in figure 2, assume the distance between the floor and the ladder's top is y feet. So a = y, b = 4 and c = 10 (hypotenuse).
[tex]a^{2}+b^{2}=c^{2}[/tex], [tex]y^{2}+4^{2}=10^{2}[/tex], [tex]y^{2}=100-16=48, x=\sqrt{84}=9.1651 \text { feet }[/tex].
So the distance between the floor and the ladder's top is 9.1651 feet.
Step 4:
The difference in heights = The wall height in figure 2 - the wall height in figure 1.
The difference in heights = 9.1651 feet - 6 feet = 3.1651 feet.
Rounding this off to the nearest tenth of a foot, we get 3.2 feet.
Answer: the answer is 3.2 when rounded
Step-by-step explanation:
if you want the explanation look at the one above
Select the most SPECIFIC name for this shape
O Rectangle
O
Square
O
Quadrilateral
O kite
Answer: Kite
Step-by-step explanation:
what is the perimeter of a rectangle with a height of 4 km and a length of 10 km
Perimeter is the sum of the 4 sides.
4+ 4 + 10 + 10 = 28 km
Answer:2 horizontal sides will equal 10 and The 2 Vertical side will equal 4. So add all them together to get 28.
Step-by-step explanation:Perimeter means the outside of Area so u can add all the numbers instead of mutiplying.
The output is ten less then the input x
Y=X-10
Step-by-step explanation:
Step 1:
Let X be the input and Y be the output variable
Given: The output is 10 less than the input
Step 2:
Y=X-10 be the require function
Eg:
for X=1, Y = -9
X=2, Y=-8, etc
3x + y = -3
How do I solve this equation by graphing?
Answer:
Step-by-step explanation:
That means y= -3x -3 in the y=mx+b form. It means that you will draw a dot at the point (0,-3). Then, M= #of points that you will go up or down (positive=up, negative= down). So, M= -3, negative, so go 3 points down to (0,-6) and go one point to the right. It will give you a point at (0,-3) and at (1,-6). Now, just draw the line and it s=is all done :)
How do you know that the value of D will decrease when the value of N increases?
Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:
As N increases, then D decreasesSo this is an inverse relationship. We can write this as:
[tex]D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}[/tex]
Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship
The sum of two numbers is -17. Their difference is 41. Find the numbers.
Answer:
the two numbers are 12 and -29
Step-by-step explanation:
let the two numbers be x and y
let the sum of the two numbers b
x+y = -17 ..................................................... equation 1
let the difference between the two numbers be
x-y = 41 ........................................................................ equation 2
from equation 1
x+y = -17 ..................................................... equation 1
x = -17 - y ............................................................... equation 3
substitute for x in equation 2
x-y = 41 ........................................................................ equation 2
-17-y -y = 41
-17 -2y = 41
-2y = 41 + 17
-2y = 58
divide both sides by -2
-2y/-2 = 58/-2
y = -29
put the value of y = -29 in equation 3
x = -17 - y ............................................................... equation 3
x = -17-(-29)
x =-17 + 29
x = 12
therefore the two numbers are 12 and -29
whats is the value of x?
Enter your answer in the box
x = __
Answer: X= 39
please mark brainliest
Step-by-step explanation:
102+39= 141
180-141 =39
it has to equal to 180 degrees