What is the length of AB? I
Answer:
9 units
Step-by-step explanation:
Line O bissects AC at its midpoint, creating a right angle. So, we know that AB is exactly 1/2 of AC.
Algebraically:
AB = AC/2
AB = 18/2
AB = 9 units
Hope this helps!
Answer:
AB = 9
Step-by-step explanation:
Perpendicular line from the center of the cirlcle to the chord bisects the chord.
AB = 18/2
AB = 9
There were thirteen friends playing a video game online when six players quit.If each player left had eight lives how many lives did they have total
Which graph matches the equation y+6= 3(x + 4)?
Here's the graph using geogebra.org/graphing
Let me know if you need an explanation of how to solve this equation
Round your answer to the nearest hundredth.
Answer:
33.69°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Answer:
33.69°
Step-by-step explanation:
Let's take ∡CBA as y
Tan y = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{6}{9}[/tex]
= 0.6666
y = 33.69°
The length of a rectangle multilayered by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and the width.
The required length of the rectangle is 12/5 feet and the width is 9/5 feet.
What is the equation model?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's denote the length of the rectangle as L and the width as W.
From the problem statement, we know that:
3L = 4W (equation 1)
We also know that the perimeter P is given by:
P = 2L + 2W = 8 2/5 feet
Multiplying both sides by 5 to get rid of the fraction, we get:
10L + 10W = 42
Dividing by 2, we get:
5L + 5W = 21 (equation 2)
Now we can use equations 1 and 2 to solve for L and W.
First, we can substitute equation 1 into equation 2 to get an equation in terms of W:
5L + 15L/4 = 21
Multiplying both sides by 4, we get:
20L + 15L = 84
35L = 84
L = 84/35 = 12/5 feet
Now we can substitute the value of L into equation 1 to get the value of W:
3L = 4W
3(12/5) = 4W
W = 9/5 feet
Therefore, the length of the rectangle is 12/5 feet and the width is 9/5 feet.
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the sum of two numbers is 76. if three times the small number is subtracted from the larger number, the result is 12. find the two numbers
Answer:
12, 60
Step-by-step explanation:
To solve this question, we can use a system of equations
1) x + y = 76
2) y - 3x = 12
Then, we can use the second equation to isolate y and substitute it into the second equation
y = 3x + 12
x + (3x + 12) = 76
4x + 12 = 76
4x = 64
x = 16, y = 60
Answer:
6
Step-by-step explanation:
based in
Vincent Van Gogh’s most popular painting, The Starry Night was created by Van Gogh at the asylum in Saint-Rémy, where he’d committed himself in 1889. Indeed, The Starry Night seems to reflect his turbulent state of mind at the time, as the night sky comes alive with swirls and orbs of frenetically applied brush marks springing from the yin and yang of his personal demons and awe of nature.
A bag of candy contains 50 pieces of candy. The flavors are orange, strawberry, apple and
lemon. You know there are 12 orange candies. You pick an orange, put it back because you don'tlike orange and then pick a strawberry. The probability of this happening is 9/125. How many
strawberry candies are there?
Answer:
15
Step-by-step explanation:
Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),
Based on the question, he picked an orange first and the probability of picking that is
P(O) = 12/50
Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.
The probability of picking orange then strawberry with replacement is
P(O) × P(S) = 9/125
Substitute the P(O)=12/50,
12/50 × P(S) = 9/125
P(S) = 3/10
Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.
Number of strawberry candy
= 3/10 × 50
= 15
What is the median of the data set?
-10, -5, -1, 0, 0, 3, 6, 8
0
O 0.125
3
-1
Answer:
0
Step-by-step explanation:
The median of this data set is 0. To find the median, you must arrange the data points from least to greatest (which is already done in this data set), then you must locate the central number, if there is no specific central number, you find the number inbetween these two central numbers, in this case 0 and 0, which is 0.
20 Points
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?
Question 2 options:
63–√ cm
6 cm
12 cm
62–√ cm
Answer:
The answer is 12 cm.
Step-by-step explanation:
Verified by correct test results.
The length of the hypotenuse of the given right triangle would be 12cm.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.∠A + ∠B + ∠C = 180°Given is that the length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long.
The base length is the shortest distance of the right - angled triangle. We can find the hypotenuse using the cosine function as -
cos(60) = b/h
h ={b/cos(60)}
h = 6/(1/2)
h = 6 x 2
h = 12 cm
Therefore, the length of the hypotenuse of the given right triangle would be 12cm.
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which expressions are equivalent to the expression (x-y) 5/8 - 1/4x +y? answers: 3/8x + 3/8y, 3/8x + 1 5/8y, 5/8x - y - 1/4x + y, 5/8x - 5/8y - 1/4x + y, 5/8x - 1/4x + y - 5/8y
Answer:
(a) 3/8x +3/8y
(d) 5/8x -5/8y -1/4x +y
(e) 5/8x - 1/4x + y - 5/8y
Step-by-step explanation:
An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.
__
(x -y)(5/8) -1/4x +y
= 5/8x -5/8y -1/4x +y . . . . . use distributive property
= 5/8x -1/4y +y -5/8y . . . . . . reorder terms
= (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms
= 3/8x +3/8y
What is the equation of the line?
O y = 3x
O Y= 1/3x
O y=1/3x+2
O y = 3x+2
Find the area of the rhombus.
Step-by-step explanation:
as the graphic shows, we are dealing with a special rhombus : a square.
this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.
what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?
I assume the half-diameter.
what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).
every leg is 6 cm long (based on my assumption above).
because they are right-angled, the area of each of these little triangles is leg×leg/2
6×6/2 = 18 cm²
we have 4 triangles, so the total area is
4×18 = 72 cm²
if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.
then we would have
3×3/2 = 4.5 cm² for a single triangle
and
4×4.5 = 18 cm² for the whole area.
In a right triangle, A = 90 degrees, with side AC = 17 and angle B = 38
degrees, find BC. Round your answer to 1 decimal. Show the labeled figure and all your
work.
Answer:
The answer is 27.6
Step-by-step explanation:
I've attached a picture with the labelled figured and working steps. Hope it'll help =)
-3(p-4)=-2p+1 what is p
Answer: p=11
Step-by-step explanation:
-3(p-4) = -2p+1
-3p+12=-2p+1
+2p +2p
-p+12=1
-12 -12
(-1)-p=-11 (-1)
p = 11
Check answer:
-3(11-4)=-2(11)+1
-3(7)=(-22)+1
-21 = -21
What is the approximate area of a dart board with a diameter of 18 inches? Use 3.14 for π . Round to the nearest hundredth if necessary.
Diameter of the dartboard as given in the question = 18 inches. Then. Radius of the dartboard will be = 18/2 inches. = 9 inches.
hallenge
A tank was1/4 of the way filled of water. After 3 L of water was added, it was7/10
full. How many liters of water did it have at first?
Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years
The total amount which Todd will have after 4 years is $1,178
The total amount which Alexis will have after 4 years is $1,184
1050 + 32(4)=
1050 + 128
= $1,178.
For Alexis
(P x T x R)/100
(1050 x 4 x 3.2)/100
=13400/100
=$134 interest after 4 years.
Therefore, 1050 + 134
=$1,184.
Maria has 9 boxes that each weigh 78 pound.
How many pounds do the boxes weigh altogether?
Answer:
702 pounds
Step-by-step explanation:
9 * 78 = 702
Answer:
If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.
Step-by-step explanation:
9 x 72 = 702 pounds
Your welcome! :)
Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?
Answer:
12 feet
Step-by-step explanation:
3 times 4 is 12
you would multiply by 4 because of the 4 sides of the window
Which of the following lines are shown in the drawing?
КА
B
С
D
E
F
F.
G H
1
K
L
OT
OG
Answer:
A, B, DStep-by-step explanation:
According to the drawing we can see the lines
A) LI, yesB) GJ, yesC) CJ, noD) BE, yesE) FA, noThe study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics
Answer:
the answer is D
Step-by-step explanation:
A patient is ordered 2 2/3 ounces of oral medication per dose today. How many ounces of this oral medication should the patient receive per day?
Answer:
Varies - possibly not enough information
Step-by-step explanation:
How many doses per day?
Do you only need to know the amount of oz. for "today"?
Does this need to be expressed in decimal form?
If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.
Decimal form: 2-2/3 = 8/3 = 2.667 oz.
The Arctic Ocean has an area of about 5×106 square miles. The Atlantic Ocean has an area of about 3×107 square miles. Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents.
The Atlantic Ocean is about how many times as large as the Arctic Ocean?
Answer:
1.65x
Step-by-step explanation:
multiply 3x107 to get 321.
multiply 5x106 to get 530.
divide 530 by 321 to get 1.65x
A rock is dropped from the top of a building and hits the ground at a velocity of
–72ft/sec. If the acceleration due to gravity is – 32ft /sec², what is the height of the
building?
Answer:
81 [ft].
Step-by-step explanation:
1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;
2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:
[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]
3) if g=32, t=9/4, then the required height is:
[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]
The height of the building comes to be 81 feet.
Initial velocity u= 0 feet/sec
Final velocity v= 72 feet/sec
The acceleration due to gravity g =32ft /sec²
Height of the building h= suppose h
What is the equation of motion?The equation of a motion is:
[tex]v^{2} =u^{2} +2gh[/tex]
Where u and v are the initial and final velocities.
[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]
So, the height of the building = 81 feet.
Therefore, the height of the building comes to be 81 feet.
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Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)
Answer:
See below ~
Step-by-step explanation:
Distance Formula
D = √(x₂ - x₁)² + (y₂ - y₁)²Finding the side lengths
AB = √(6 + 3)² + (-2 - 2)² = √81 + 16 = √97BC = √(3 - 6)² + (-6 + 2)² = √9 + 16 = √25 = 5CD = √(3 - 0)² + (-6 + 6)² = √9 = 3DA = √(0 + 3)² + (-6 - 2)² = √9 + 64 = √73Perimeter
AB + BC + CD + DA√97 + 5 + 3 + √738 + √97 + √73 units [radical form]8 + 9.85 + 8.5426.39 units (decimal form)A community college is planning to expand its library. Forty students were asked
how many times they visited the library during the previous semester. Their
responses are given below. Construct a frequency distribution, letting each class
have a width of 1.
2 4 5 68
24568
3 4 5 7 8
3 5 5 7 9
4 55 79
COLLE
02
1
22222
1
1 2
n
98666
10
10
U
E
D
C
1
L
5
Number of Visits
0
1.
(0,0)
Here is the constructed frequency distribution table:
Number of visits Number of students
0 - 1 5
2 - 3 9
4 - 5 11
6 - 7 5
8 - 9 8
10 - 11 2
What is a frequency distrubution?A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.
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answer quick i’ll give brainliest!! if you send links i’ll report u!
Answer:
[tex]\fbox{ Option D ➫ \: 416 \: cm²}[/tex]
Step by step explanation:
Given:
height of prism h = 18 cm
length of base of triangle b = 10cm
height of triangle h' = 2 cm
side A of triangle = 5 cm
side B of triangle = 7 cm
To find:
Surface area of prism = ?
Solution:
[tex]Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{10} \times \not{2} \\ Area \: of \: base \: triangle = 10 \: {cm}^{2} [/tex]
[tex] \fbox{Area \: of \: base \: triangle \: (B) = 10 \: cm²}[/tex]
[tex]Perimeter \: of \: base \: triangle = Side A + Side B + base b \\ Perimeter \: of \: base \: triangle = 5 + 7 + 10 \: cm \\ Perimeter \: of \: base \: triangle = 22 \: cm[/tex]
[tex] \fbox{Perimeter \: of \: base \: triangle (p) \: = 22 \: cm}[/tex]
[tex]Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 10+ \: 22 \times 18 \\ Surface \: area \: of \: prism = 20 + 396\\ Surface \: area \: of \: prism = 416 \: {cm}^{2} [/tex]
[tex]\fbox{Surface \: area \: of \: prism = 416 \: cm²}[/tex]
Thanks for joining brainly community!
Answer:
D. 416 cm²
Step-by-step explanation:
Let S be the surface area of the prism
B be the area of the base of the prism
A be the lateral area of the prism
_______
formula :
S = 2B + A
__________
The base is a triangle ,then B the area of the base :
[tex]B=\frac{10 \times 2}{2}=10 \mathrm{~cm}^{2}[/tex]
_______
formula :
A = (Perimeter of the base) × (the height of the prism)
__________
then ,
[tex]\begin{aligned}A &=(10+5+7) \times 18 \\&=22 \times 18 \\&=396cm^2\end{aligned}[/tex]
Conclusion:
[tex]\begin{aligned}S &=2 B+A \\&=2 \times(10)+396 \\&=20+396 \\&=416 \mathrm{~cm}^{2}\end{aligned}[/tex]
Which expression is equivalent
Answer:
the answer is 1/27. C :))
could i have some quick help factoring trinomials?
Solution 1
6x² + 34x -126x² + 36x -2x -126x(x+6)-2(x+6)(6x-2)(x+6)Solution 2
48c²-160c+10012c² - 40c + 2512c² - 30c -10c + 256c(2c-5) -5(2c-5)(6c-5)(2c-5)Solution 3
-6x-51xy+27xy²3x(-2-17y+9y²)3x(-2-18y+y+9y²)3x(-2(1+9y)+y(1+9y))3x(9y+1)(y-2)#1
6x²+34x-126x²+36x-2x-126x(x+6)-2(x+6)(x+6)(6x-2)#2
48c²-160c+100Cancel by 4
12c²-40c+2512c²-30c-10c+25(2c-5)(6c-5)#3
-6x-51xy+27xy²3x(-2x-17y+9y²)20 points
Divide f(x)2x³+3x²-4x-5 by g(x)x+2 and find quotient and remainder
f(x) = 2x³+3x²-4x-5
let x + 2 = 0
x = 2
f(x) = 2(2)*3 + 3(2)*2 - 4(2) - 5
= 2 × 8 + 3 × 4 - 4 × 2 - 5
= 16 + 12 - 8 - 5
= 15
↪Then the reminder is 15
☆...hope this helps...☆
_♡_Mashi_♡_
