Answers
Answer:
[tex]AC = 28[/tex]
Step-by-step explanation:
Given
[tex]AB = 16[/tex]
[tex]BC = 12[/tex]
Required
Determine AC
Since A, B and C are collinear, then:
[tex]AC = AB + BC[/tex]
So, we have:
[tex]AC = 16 + 12[/tex]
[tex]AC = 28[/tex]
Related Questions
please help me asappppppp!
Answers
9514 1404 393
Answer:
a) ADC
b) ABC
c) ACB
d) CAD, DAB
e) CDm, BDA
f) ABD
Step-by-step explanation:
a) Any of the letters on lines going through point D could be used to name an angle with DC as one side. (Letters s and C would name an angle of measure zero, so might not be of interest.)
∠ADC has side DC
__
b) Any angle name with B in the middle will have B as its vertex.
∠ABD is an angle with vertex B
__
c) Ray CE is coincident with ray CD, so ...
∠ACE is another name for ∠ACD
__
d) Adjacent angles share a side, typically between the two angles. A linear pair of angles will be adjacent angles.
∠BAD and ∠CAD are adjacent angles
__
e) In order to properly name a pair of vertical angles, we need to be able to name two sets of opposite rays that share end points. Opposite rays emanate from points C and D, but no named points are seen outboard of those intersections. If we use 'm' as the name of a point on line m, then we can say a pair of vertical angles is ...
CDm and BDA are two vertically opposite angles
__
f) The supplement to EBD will be the other angle that makes a linear pair with angle EBD. It is defined using point A on the ray opposite ray BE.
∠ABD is the supplement of ∠EBD
Find the x-intercept and the y-intercept of the graph equation 7x +3y =21 type a integer
Answers
Answer:
7(y intercept)
Step-by-step explanation:
y = mx +c form
y = 21-7x/3
c = 21/3 = 7(y intercept)
x i have no idea
To find x-intercept ,put y= 0 in the given eqn
So, 7x+3(0) = 21
=> 7x =21
=> x= 21/7 = 3
x-intercept = 3
Similarly, to find y-intercept put x=0 in the given eqn
So ,7(0)+3y=21
=> 3y=21
=> y= 21/3 = 7
y-intercept = 7
please help! (listing BRAINLIST and giving points) :D
Answers
Answer:
x = 50 + 95 = 145
.........
Answer:
x = 145°
Step-by-step explanation:
Given,
Measure of the first angle = 50°
Measure of the second angle = 95°
We know,
Sum of 3 angles of a triangle is equals to 180°
∴ The third angle = 180° - (50+95)°
= 180° - 145°
= 35°
Again,
Straight angle = 180°
∴ x = 180° - 35°
= 145°
∴x = 145°
Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used.
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
Answers
Answer:
(xou)2
Step-by-step explanation:
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
using factoring what is the solution to the equation 2x^2+3x-5=0
Answers
Answer:
Option B. ( x=1,-5/2 Or x=-5/2,1)
Step-by-step explanation:
2x2+3x−5=0
Step 1: Factor left side of equation.
(2x+5)(x−1)=0
Step 2: Set factors equal to 0.
2x+5=0 or x−1=0
x=−5/2 or x=1
(The Answer you can just switch it around but dont worry its still the same answer nothing change...)
Can y’all help me? Thanks :)
Answers
Answer:
Step-by-step explanation:
Soooo, by looking at the picture we can tell that it is a right trapezoid
The formula for the area is
(b1+b2)/2*h
(Base 1+ Base 2)/ 2 * height
Now we can plug in the numbers:
(5+15)/2*6
20/2*6
10*6
=60
1 gallon of paint per sq. foot
So Isha needs 60 gallons of paint
Greg is installing a tile floor in a room that is 10 feet long by 15 feet wide. He will use 1-foot square tiles. He has two different types of tile: plain and hand-painted. Plain tiles cost $0.79 per tile. Hand-painted tiles cost $5.00 per tile. What is the maximum number of hand-painted tiles that Greg can use to keep the total cost under $200?
Answers
Answer:
The maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200 is 19.
Step-by-step explanation:
Since Greg is installing a tile floor in a room that is 10 feet long by 15 feet wide, and he will use 1-foot square tiles, and he has two different types of tile: plain and hand-painted, and plain tiles cost $ 0.79 per tile, while hand-painted tiles cost $ 5.00 per tile, to determine what is the maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200, the following calculation must be performed:
10 x 15 = 150
150 x 0.79 + 0 x 5 = 118.5
130 x 0.79 + 20 x 5 = 202.7
131 x 0.79 + 19 x 5 = 198.49
Therefore, the maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200 is 19.
400 is 100 times as much as
Answers
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $2000 loan for 48 months at 3.5% APR. How much total interest will you have paid at the end of the 48 months? (Round your answer to the nearest cent.)
$
Answers
Step-by-step explanation:
Are you using a particular calculator for the class? For this class, is the payment expected to be compounded monthly?
There is a function in Microsoft Excel that will calculate the payment for you, but the answer is going to be slightly different for a business math class than a calculus-based statistics class.
The excel formula to calculate a payment is
=PMT(0.04/12,60,25000,0)
.04/12 is the interest APR on a monthly basis
60 is the number of months
25000 is the current amount owed
0 is the future balance after 60 payments
The answer from Excel is $460.41 -- ignore the negative sign for these purposes.
Multiply that number by the 60 months you pay and you get a total paid of $27,624.78
Remove the initial 25K and $2,624.78 is your interest amount.
By the way, I used the simplifying assumptions that the problem meant "interest rate" when it said "APR", and that the rate would compound monthly. In the actual loan industry, the interest rate is only part of the calculation for APR, a
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
\begin{gathered}2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71\end{gathered}
2000=x
.002916667
1−(1+.002916667)
−48
x=44.71
then it's just
44.71*48-2000=146.08
Answer:
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
[tex]2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71[/tex]
then it's just
44.71*48-2000=146.08
A vault contains 3000 worth of nickels.
How many nickels are in the vault
Answers
Answer:
600 nickels
Step-by-step explanation:
$3,000 divided by 0.05 (value of 1 nickel) = 60,000 nickels
x+y=13
2x-y=5
solve using any method
Answers
Answer:
x = 6 , y = 7
Step-by-step explanation:
solving by substitution method
x + y = 13
x = 13 - y equation (i)
2x - y = 5
substitute the value of x
2(13 - y) - y = 5
26 - 2y - y = 5
26 - 3y = 5
26 - 5 = 3y
21/3 = y
7 = y
substitute the value of y in equation (i)
x = 13 - y
x = 13 - 7
x = 6
You measure 34 textbooks' weights, and find they have a mean weight of 69 ounces. Assume the population standard deviation is 8.2 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight. Give your answers as decimals, to two places
Answers
Answer:
The 95% confidence interval for the true population mean textbook weight is between 66.24 and 71.76 ounces.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{8.2}{\sqrt{34}} = 2.76[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 69 - 2.76 = 66.24 ounces
The upper end of the interval is the sample mean added to M. So it is 69 + 2.76 = 71.76 ounces.
The 95% confidence interval for the true population mean textbook weight is between 66.24 and 71.76 ounces.
Which type of correlation does the scatter plot show
Answers
Answer:
D
Step-by-step explanation:
From the given scatter plot, it is positive correlation.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Interpretation of correlation
A scatter plot with increasing values of both variables can be said to have a positive correlation. A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.From the given graph,
The coordinates points are in increasing order.
Therefore, the correlation is positive.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
#SPJ6
explanation would be appreciated, last word is indicated.
Answers
Answer:
AC = 28
Step-by-step explanation:
Ok, we know that:
Points A, B, and C are collinear.
Point B is between A and C.
We want to find the length AC (distance between A and C), if we know that:
AB = 16
BC = 12
Ok, knowing that B is between the other points, we know that:
AB + BC
defines the total length of the segment that connects the 3 points.
Thus, if we define this segment as a length, we only use the endpoints, A and C.
Then we have that:
AB + BC = AC
now we can solve this:
16 + 12 = AC
28 = AC
. What is the solution of the system of equations 3x + 2y = 4 and -2x + 2y = 24? *
Answers
Answer:
x= -4
y= -8
This will be the solution
Evaluate the statistics expression:39C1
Answers
========================================================
Explanation:
You can use the nCr formula shown below
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where n = 39 and r = 1. However, you could also use the identity
[tex]_n C _{1} = n[/tex]
which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.
What's is the value of X?
Answers
Answer:
[tex]116^o[/tex]
Step-by-step explanation:
All triangles equal [tex]180^o[/tex]. Therefore, in order to find the value of [tex]x^o[/tex], all you will have to do is subtract [tex]64^o[/tex] from [tex]180^o[/tex].
[tex]180^o-64^o=116^o[/tex]
[tex]x^o=116^o[/tex]
what happens when you divide by 0? i did this problem in my calculator and it broke.
69 + 420 divided by 0
Answers
Answer:
ans is 0
Step-by-step explanation:
69 + 420 ÷ 0
489 ÷ 0
0
Answer:
Undefined
Step-by-step explanation:
When you try to divide by 0, your calculator will yield an error because any number (including zero) divided by zero is undefined.
You can think of it like this: if you divide any number by zero, how many times does zero go into that number? An undefined amount of times. If you had zero divided by zero, you'd still run into the issue that any number works:[tex]k\cdot 0=0, k\in \mathbb{R}[/tex]. Because [tex]k[/tex] can be any real number, it is still undefined.
There is an argument for infinity because for function [tex]f(x)=\frac{k}{x}, k\in \mathbb{R}[/tex], as [tex]x[/tex] approaches 0, [tex]f(x)[/tex] approaches infinity:
[tex]\lim_{x\rightarrow 0}f(x)=\infty[/tex]
However, infinity is not a number and should not be treated as such. Undefined is a more precise answer.
Set up an algebraic equation that could represent the following situation:
Nkateko sells bananas at the low but fixed price of R3/kg. In order to ensure that she makes a reasonable profit, she adds a certain fixed amount of money to any quantity of bananas purchased. A customer who bought 4 kg of bananas was observed paying R14.
Answers
Answer:
The profit for any purchased of bananas is R2.
Step-by-step explanation:
Cost of 1 kg banana = R 3
Banana purchased = 4 kg
So, the cost of 4 kg bananas = 4 x 3 = R 12
Amount paid = R 14
Profit = R 14 - R 12 = R 2
So, the profit on any purchased of bananas is R 2.
NO LINKS!!!
What is the volume of this solid?
Answers
220 cubic units.
Answer:
Solution given:
for small cylinder
r=1
and for large cylinder
R=5+1=6
height for both [h]=2
Now
Volume of solid=πR²h-πr²h=πh(R²-r²)
=3.14*2(6²-1²)=219.8 =220 units ³.
Small cylinder is r=1
Large cylinder is R= 5+1 =6
Height (h) =2
Volume of solid,
→ πR²h-πr²h
→ πh(R²-r²)
→ 3.14 × 2(6²-1²)
→ 219.8
→ 220 cubic units
To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour
Answers
Answer:
30ml of yellow
18ml of red
Step-by-step explanation:
5x6=30
3×6=18
Answer:
Step-by-step explanation:
a color
Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10
Answers
Answer:
[tex]{ \tt{3 \frac{4}{9} \div (5 \frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{31}{12} ) + \frac{59}{10} }} \\ \\ { \tt{ = \frac{4}{3} + \frac{59}{10} }} \\ \\ { \bf{ = \frac{217}{30} }} \\ \\ { \boxed{ \tt{answer : 7 \frac{7}{30} }}} \\ \\ { \underline{ \blue{ \tt{becker ⚜jnr}}}}[/tex]
Answer:
[tex]7 \frac{7}{30}[/tex]
Step-by-step explanation:
[tex]3 \frac{4}{9} \div ( 5\frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10}\\\\\frac{31}{9} \div (\frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} \\\\\\Solving \ using \ BODMAS\\\\First \ Solve \ expression \ inside \ Bracket \\\\\frac{31}{9} \div (\frac{(16 \times 4) - ( 11 \times 3)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div (\frac{64- 33)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div \frac{31}{12} + \frac{59}{10} \\\\\\ \\\\\\Next \ solve \ Dvision \\\\\frac{\frac{31}{9}}{\frac{31}{12}} + \frac{59}{10}\\\\[/tex]
[tex](\frac{31}{9}} \times {\frac{12}{31}) + \frac{59}{10}[/tex]
[tex]\frac{4}{3} + \frac{59}{10}\\\\ Now \ solve \ final \ expression \\\\\\\frac{(4 \times 10) + ( 59 \times 3)}{30}\\\\\frac{40 + 177}{30}\\\\\frac{217}{30}\\\\7 \frac{7}{30}[/tex]
if someone can explain this it would really help.
Answers
Answer:
6
Step-by-step explanation:
KL = 26-(11+9) = 26-20 =6
Answer:
KL is 6
Step-by-step explanation:
IL is 26, IJ = 9 JK= 11
IL= IJ + JK + KL
26= 9 + 11 + KL
Rearrange
KL= 9 + 11 - 26
= 6
Customers at a restaurant can build their own burrito by choosing one item from each category shown in the table.
Answers
Answer:
E
Step-by-step explanation:
Beans: 2 possibilities
Meat: 3 possibilities
Vegetables: 4 posibilities
Toppings: 4 possibilities
Then mulltiply the numbers:
2 x 3 x 4 x 4 which equals 96
what is the mean mark of 847 ÷ 30?
Answers
Answer:
Step-by-step explanation:
if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240
Answers
Answer:
C. b²< 40
Step-by-step explanation:
2x²+ bx + 5=0 has no real solutions
=> D< 0
b² < 4ac
b²< 4(2)(5)
b²< 40
What is the value of x?
Answers
Answer:
B.35 is the value of x in the figure
What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters? A. 5 m B. 10 m C. 30 m D. 45 m
Answers
Answer:
B.10
Step-by-step explanation:
15=1/2b(3)
30=3b
10= base
PLS HELP For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6 cubic inches of chocolate. Dorothy
plans to make chocolate pyramids with a square base of 1 square inch and a height of 2 inches. What is the largest number of pyramids she can make from the 20
bars of chocolate?
A.
180
Св.
240
OC
450
OD
520
E.
580
Answers
Answer:
180
Step-by-step explanation:
Answer:
Step-by-step explanation:180
Expand and simplify 4(p+2)-3(5-6p)
Answers
Step-by-step explanation:
4p+8-15+18p=04p+18p=-8+1522p-7
