Answer:
The value of AB is 14
Step-by-step explanation:
When we say a set of points are collinear, what we mean is that those points are on the same straight line i.e they lie on a straight line.
Now B is between A and C
Since B is between A and C
Then mathematically;
AC = AB + BC
18 = AB + 4
AB = 18-4
AB = 14
Based on the segment addition theorem, the value of AB would be: 14.
What is Segment Addition Theorem?Given that three points, A, B, and C are collinear, where b is between points A and C, the segment addition theorem states that, AB + BC = AC.
Given:
AC = 18BC = 4AB = ?Thus:
AB + 4 = 18 (segment addition theorem)\
AB = 18 - 4
AB = 14
Thus, based on the segment addition theorem, the value of AB would be: 14.
Learn more about segment addition theorem on:
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There are 36 students in a class. If 4/9 of the
students are girls, how many girls are in the class?
Answer:
16
Step-by-step explanation:
All you have to do 4/9 of 36 which is 16.
Hope this helps!!
Will mark as brainliest if correct
Answer:
Step-by-step explanation: 2 x2 =4
i am guessing it means 2 to the power of 2
Answer:
[tex]2\log _{10}\left(z\right)=4 : z=100[/tex]
Step-by-step explanation:
[tex]2\log _{10}\left(z\right)=4[/tex]
Divide both sides by 2:
[tex]\frac{2\log _{10}\left(z\right)}{2} =\frac{4}{2}[/tex]
Simplify:
[tex]\log _{10}\left(z\right)=2[/tex]
Use the logarithmic definition: If [tex]\log _{a}\left(b\right)=c[/tex] then [tex]b=a^c[/tex]
[tex]\log _{10}\left(z\right)=2 \Rightarrow \:z=10^2[/tex]
[tex]z = 10^2[/tex]
Simplify:
[tex]z =100[/tex]
Final answer:
[tex]z=100[/tex]
Hope I helped, if so may I get brainliest and a thanks?
Thank you, have a good day! =)
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 32.
What is the age of the person who entered the room?
Answer:
52 years
Step-by-step explanation:
Since the mean age of 5 people in that room is 28 years,
∴ Sum₍₅₎= (28×5) years
= 140 years
Then, one person enters the room which makes the mean age 32 years.
∴Sum₍₆₎= (32×6)years
= 192 years
∴The age of the person who enters the room= (192 - 140) years
= 52 years
15 POINTS + BRAINLIEST
true or false box plot questions
Answer:
b is false, idk about a the median is the middle line its 70 in this case
Answer:
a. true
b. false
Step-by-step explanation:
a. 2 parts of diagram are 50% and that's 62 - 70
b. median height is 70 in
After eating dinner at a restaurant, Lucy's bill before tax is $48.00. The sales tax rate is 8%. Lucy decides to leave a 20% tip for the waiter based on the pre-tax amount. How much money will Lucy pay total, including tax and the tip?
Answer:
$61.44
Step-by-step explanation:
Both the tip and the tax are based on the original amount ($48).
To find the amounts, first change the percents to decimals.
8% = 0.08
20% = 0.20
Then, multiply the decimals by the original amount.
48 × 0.08 = 3.84
48 × 0.20 = 9.60
Next, add up the original amount, the tax, and the tip to find the total money spent by Lucy.
$48 + $3.84 + $9.60 = $61.44
The total amount spent is $61.44.
Lucy pay total amount of $61.44, including tax and the tip.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Both the tip and the tax are based on the original amount ($48).
To determine the amounts, first change the percents to decimals.
8% = 0.08
20% = 0.20
Now multiply the decimals by the original amount.
48 × 0.08 = 3.84
48 × 0.20 = 9.60
Next, add up the original amount, the tax, and the tip;
$48 + $3.84 + $9.60 = $61.44
The total amount spent will be $61.44.
Learn more about multiplications;
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Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 dollars because of expenses. In the first hour of the fundraiser they collect equal donations from 9 family members, which brings their balance to -44 dollars. How much did each parent give?
Answer:
Each family member gave $4
Step-by-step explanation:
(-44 - (-80))/9
36/9
4
Factor as the product of two binomials. 36+12x+x^2=
Answer:
(6 + x)(6 + x) = (6 + x)²
Step-by-step explanation:
Given
36 + 12x + x²
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)
The factors are + 6 and + 6, since
6 × 6 = 36 and 6 + 6 = 12, thus
36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²
Which of the following is a right triangle?
A)
a triangle with sides measuring 8, 12, and 13
B)
a triangle with sides measuring 6, 8, and 12
C)
a triangle with sides measuring 1, 2, and 3
D)
a triangle with sides measuring 10, 24, and 26
Answer:
D): a triangle with sides measuring 10, 24, and 26
I hope I helped you! If my answer is correct, could you please mark me brainliest? Thanks!
What is the value of the following expression if x = 22: "five times a number x,
decreased by 2"?
Answer:
108
Step-by-step explanation:
"five times a number x, decreased by 2" can be expressed as: 5x - 2
Now,
5x - 2 = 5*22 - 2 = 110 - 2 = 108
Henry is diving off a diving board that is 7 above the water. After 2 seconds, he reaches his maximum
height of 9 above the water. What height will Henry be after 5 seconds?
(please post the solution as well)
Answer:
44 m
Step-by-step explanation:
I'll assume the 5 seconds is from the time he jumped off the board.
This means we are to calculate his height 3 seconds after dropping from the height of 9 m, since he spent 2 seconds springing up off the board from a height of 7 m to the 9 m height.
we use Newton's equation of motion.
We are given
initial velocity U at the height of 9 m = 0 m/s
acceleration due to gravity downwards g = 9.81 [tex]m/s^{2}[/tex]
distance covered S = ?
time of fall t = 3 seconds
we use S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
S = (0 x 3) + [tex]\frac{1}{2}[/tex](9.81 x [tex]3^{2}[/tex])
S = 0 + 44.145
S = 44 m
The graph of f(x) is given on the right. Which roots of f(x) have an odd multiplicity? -1 1 3
Answer:
-1
3
Step-by-step explanation:
Answer:
1. -1, 3
2. 4 could be a multiplicity of the root at x = 1.
What is the value of b? Round you answer to the nearest tenth
Answer:
23.01 = b
Step-by-step explanation:
Solve this using the Law of Cosines first: Find side length b.
b^2 = 22^2 + 28^2 - 2(22)(28)*cos 34 deg, or:
b^2 = 484 + 784 - 2(616)(0.593), or
= 1260 -730.576 = 529.424
Taking the square root of both sides, we get:
b = +√529.424 = 23.01 = b
Please help! Find the área of the triangle .
Answer:
a= 75 cm
Step-by-step explanation:
a= 10×15
150÷2
a= 75 cm
Answer:
67.97 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bc sinA
with b = 15, c = 10 and A = 115°, thus
A = 0.5 × 15 × 10 × sin115° = 75 × sin115° ≈ 67.97 cm²
Ling walks 3/8 of the distance home from school in 9 minutes. She wants to know how long it will take her to walk the entire distance at the same speed. Ling uses the expressions 9 divided by 3/8 and 9 times 3/8 to find the answer. Explain what is wrong with Ling's expression and then write the correct solution.
entre 3/8 y 9 veces 3/8S
tep-by-step explanation:
A restless point moved from point −1 to the left at the speed of 5 units per minute. Where will it be in 10 minutes?
Answer:
The answer is "-51"
Step-by-step explanation:
[tex]\ distance = 5 \frac{unit}{minute}[/tex]
[tex]\ moved \ point = \ time \times \ distance\\\\[/tex]
[tex]=10 \times 5 \\\\ = 50[/tex]
In this 50 unit left in point. So, total points which is left are:
[tex]\ moved \ point = point + \ calculated \ point (\ moved\ point)[/tex]
[tex]= -1 + -50\\\\=-51[/tex]
What type of number is -16.2i
Answer:
Complex and imaginary number
Step-by-step explanation:
First, let's write the number[tex]-16.2i[/tex] in the form of [tex]a+bi[/tex].
[tex]0+ (-17)i[/tex]
Since [tex]-16.2i[/tex] can be written in the form of [tex]a + bi[/tex], where [tex]a[/tex] and [tex]b[/tex] are real numbers, it is a complex number.
Also, since [tex]a=0[/tex], it is also an imaginary number.
[tex]-16.2i[/tex] is complex and imaginary.
Someone please help me!!
Answer:
5. 37.065 square centimeters
6. 241 square centimeters
Step-by-step explanation:
5. First, separate the figure into shapes you can find the areas of. This first figure can be represented by two rectangles and one quarter circle.
The two rectangles can be found using a = bh, or 5x3! Both of the rectangles' areas are equal to 30cm.
The circle's area can be found using a = pi(r^2). r stands for radius, which can be represented by 3cm. The area of a whole circle with a radius of 3 is 28.26 cm. Because it is a quarter circle, however, we can divide this value by four to get an area of 7.065cm.
If you add them all together, you get an area of 37.065.
6. First, separate the figure into shapes you recognize. This one can be separated into one triangle and one rhombus.
You can find the area of the triangle using the formula: a = 1/2bh. This gets you an area of 88cm.
The rhombus can be found using the formula: a = 1/2(b1+b2)h. Essentially, you find the average of the two bases and multiply it by the height! This gets you an area of 153cm.
Now, simply add the two areas together and you get an area of 241cm!
What is the arc length of a circle that has an 8-inch radius and a central angle that is 95
degrees? Use 3.14 for TT and round your answer to the nearest hundredth.
Answer:
13.26
Step-by-step explanation:
The formula for arc length is 2πr([tex]\frac{angle}{360}[/tex])
Then all you have to do, is sub your values into it
What is the first step in solving a quadratic equation of the form given below?
(ax + b)^2 = 0
A. Take the square root of both sides
B. Factor out a common factor
C. Divide both sides by c
D. Use the zero product rule
Answer:
A.
Step-by-step explanation:
If a 40-foot tree casts a 50-foot shadow, how tall is a tree that casts a 60-foot shadow?
Answer:
48
Step-by-step explanation:
40/50 = x/60
x= (40 x 60) / 50
One hundred students vote for a drama, comedy, or action movie for a party. Drama gets one fifth of the votes. Action gets three times as many votes as comedy.
Write the vote totals. Tell which of these ratios correctly describe the results of the voting.
Answer:
:)
Step-by-step explanation:
Compare the algebraically expressed function f(x) = 3x2 + 6x + 7 to the function shown in the graph to determine which statement is true.
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere? Round your answer to the nearest whole number.
Answer: 113.04 cm^3
Step-by-step explanation:
The surface area of a cube is:
S = 6*L^2
then:
216 = 6*L^2
216/6 = L^2
L = √(36) = 6
So the length of the side of this square is L = 6cm
Then the diameter of the sphere is also 6 cm, and the radius is half the diameter, so the radius is 3cm.
Now the volume of a sphere is:
V = (4/3)*pi*r^3 = (4/3)*3.14*3^3 = 113.04 cm^3
Which of the following is(are) the solution(s) to 15x +21= 8?
Answer:
15x+21=8
subtract 21 from both sides
15x+21-21=8-21
simplify
15x=-13
divide both sides by 15
15x=-13
15 15
x=-13/15
Step-by-step explanation:
Find the total surface area of this prism where the cross-section is an isosceles triangle.
Answer:
620 cm2
Step-by-step explanation:
The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:
B = 24 * 10 = 240 cm2
The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:
C = 24 * 5 / 2 = 60 cm2
The sides are rectangles with 10 cm x 13 cm, so their area is:
D = 10 * 13 = 130 cm2
The total surface area is:
S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2
Let x be a positive integer. If (-3)ºx (-3)* = (-3)14,
what is x?
Answer:
[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}[/tex]
Decimal Form:
[tex]x = -267.38030...[/tex]
Step-by-step explanation:
[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14[/tex]
Remove Parentheses: [tex](-a) = -a[/tex]
[tex]-3^{\circ \:}x\left(-3\right)=-3\cdot \:14[/tex]
Multiply the numbers: [tex]3 * 14 = 42[/tex]
[tex]-3^{\circ \:}x\left(-3\right)=-42[/tex]
Divide both sides by: [tex]-3^{\circ \:}\left(-3\right)[/tex]
[tex]\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}[/tex]
Simplify:
[tex]x=-\frac{840}{180^{\circ \:}}[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the length of each side is 6.5 inches. What is the area of each tile? Enter your answer in the box.
Answer:
A=9.75
Step-by-step explanation:
A=pq
___
2
A= 3 6.5
_____
2
A=9.75
Which angle pairs are supplementary
Answer:
the second, third, and last
Expand if necessary,combine like terms (x+2) (x+2)
Answer: x^2 + 4x + 4
Step-by-step explanation:
Answer:
x^2 + 4x + 4
Step-by-step explanation:
We can do this first
(x + 2)^2
Then we can use our knowledge and do
x^2 +4.
We have to multiple the two by two and then x because that is a rule in
(a + b) ^2
=
a^2 + b^2 + 2ba
So we end up with x^2 + 4x +4
Please help me thanks
Answer:
2:1____________________________________