Answer:
[tex]AC=20[/tex]
Step-by-step explanation:
The line segment AC is the entire length of the line. Within this segment, point B is found.
Point B, in a way, splits the segment into two, creating the segments AB and BC.
To find the length of AC, add the lengths of the lines AB and BC together:
[tex]AB=11\\BC=9\\AB+BC=AC\\11+9=AC\\20=AC[/tex]
The length of AC is 20.
:Done
Answer:
20 units.
Step-by-step explanation:
Segment AC is broken into two parts by point B. That means that the length of segment AB plus the length of segment BC equals the length of segment AC.
If BC = 9, and AB = 11, AC = 9 + 11 = 20 units.
Hope this helps!
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.
Answer:
g(x) has the larger slope.
Step-by-step explanation:
f(x) = 4x + 2
- so its slope = 4. ( from general form y = mx + c where m = slope).
The slope of g(x) = (3 - (-2) / (1 - 0)
= 5.
A body of mass 50kg moves with a velocity of 2m5-1. calculate the kinetic energy of the body
Answer:
K.E = 100 J
Step-by-step explanation:
Here, we are interested in calculating the kinetic energy of the body.
Mathematically;
Kinetic energy K.E = 1/2 * m * v^2
From the question, m = 50kg and v = 2 ms^-1
Substituting these values into the equation, we have;
K.E = 1/2 * 50 * 2^2 = 200/2 = 100 J
.
4 pumps can fill 800l of water in 20 min. In how many
minutes will 12 pumps fill 600l of water?
a) 6 min b) 5 min
c) 4 min d) 8 min
Answer:
Step-by-step explanation:
One pump will fill 200l in 20 minutes
So the rate of filling per pump will be 10l/minute (200/20)
Let the number of minutes it will take to fill the 600l be x minutes
Now, since the rate of filling per pump is 10 l/minute
Then in x minute, they would have filled 10l/minute * x = 10x liters
So it is now this 10x liters that will be equal to 600
To find x, we simply divide
10x = 600
x= 600/10
x = 6 minutes
1)A cylindrical container has a diameter has diameter of 14cm and height of 20cm and is full of water. A student pours the water into another cylinder of diameter 20cm. How deep is the water in the second cylinder?
2)A cylindrical water tank is70cm in diameter. To begin with, it is full of water. A leak starts at the bottom so that it loses 10l of water every hour. How long will it take for the water level to fall by 20cm?
3) A cylindrical storage vessel is 4m in diameter and 31/2m deep. How many kilolitres will it hold?
Answer:
Hey there!
1) To solve this, we want to know the volume of the first cylinder, which using the cylinder volume formula, we find is roughly 3079 cm^3. If the water is poured into the second cylinder, we find that the height is about 9.8 cm.
2) First, we should know that 1000 cm^3=1 liter. Volume of 1 cm tank height: 3848 cm^3, or 3.848 l. Volume for 20 cm tank height= 76.96 l. It takes about 7.7 hrs for the water level to fall 20 cm.
3) Cylinder volume formula gives us the answer to be 176 m^3 as the volume.
Hope this helps :)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend $
Answer:
$52.2Step-by-step explanation:
Given her total cost of ride tickets modeled by the equation c = 3.5t where c is the total cost of tickets and t is the number of tickets, If Stacy bought 15 tickets, to know the amount she would spend on 15 tickets, we will substitute t = 15 into the modeled equation as shown;
[tex]c = 3.5t\\when t = 15\\\\c = 3.5(15)\\\\c = \frac{35}{10} * 15\\ \\c = \frac{5*7}{5*2} * 15\\\\[/tex]
[tex]c = \frac{7}{2} * 15\\ \\c = \frac{105}{2}\\ \\c = \ 52.2[/tex]
Hence Stacy would spend $52.2 on 15 tickets
Answer:
I hope this helps!
Step-by-step explanation:
The temperature dropped 15 degrees in an hour. If the starting temperature was 10 degrees, what was the final temperature?
Answer: If we're talking about the final temperature in 1 hour, then the final temperature would be -5 degrees. 10-15= -5.
Using the subtraction approach, the projected end temperature will be -5.
What is Algebra?Algebra is the study of graphic formulas, while logic is the application of those symbols.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
In an hour, the temperature plummeted by 15 degrees. assuming that the initial temperature was 10 °.
Then the final temperature is given by subtracting the numbers 10 and 15.
Using the subtraction approach, the projected end temperature will be -5.
More about the Algebra link is given below.
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If he = 7x -27 find the value of x
[tex]\\ \sf\longmapsto 7x-27=1[/tex]
[tex]\\ \sf\longmapsto 7x=1+27[/tex]
[tex]\\ \sf\longmapsto 7x=28[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{28}{7}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
To purchase a car costing $10,000, the buyer bor-
rowed part of the money from the bank at 9% sim-
ple interest and the rest from her mother-in-law at
12% simple interest. If her total interest for the year
was $1080, how much did she borrow from the
bank?
Answer:
She borrowed 4000 from bank.
Step-by-step explanation:
Let 'y' be the amount borrowed from bank. Then 10000-y is the amount borrowed from her mother-in-law.
Let x= interest amount gained by bank . Then 1080- x = interest gained by mother-in-law
I1= interest rate by bank= 9%
I2= interest rate by mother-in-law=12%
Time(T) = 1 year
Now, By Simple Interest formula:
x=PTR/100
Or, x=(y*1*9)/100
Or,100x=9y
or,9y-100x=0...........................Equation (i)
Again 1080-x= ((10000-y)*1*12)/100
Or, 108000-100x=120000-12y
Or, 12y-100x=12000.................Equation(ii)
Solving equation (i) and (ii), we get
y= 4000, which the amount borrowed from bank.
Imagine you have a job where you earn $700 each week after taxes. Your monthly living expenses include $725 for rent, $125 for utilities, $120 for cable/internet, $35 for cellphone, and $48 for bus fare. You also have $1,100 in credit card debt that requires a minimum monthly payment of $78. You have also been keeping track of your expenses for several months by writing down everything you purchase. You found that you spend around $600 on groceries and $225 on dining out and entertainment. What is your monthly income?
The monthly income is $844.
Given:
Weekly earning after taxes is $700Monthly rent is $725Monthly expense for utilities is $125Monthly expense for cable/internet is $120Monthly expense for cellphone is $35Monthly expense for bus fare is $48Minimum monthly payment of credit card debt is $78Monthly expense for groceries is $600Monthly expense for dining out and entertainment is $225To find: The monthly income
The monthly income refers to the amount of money left over each month after paying all expenses.
Evaluating, we have,
The total monthly expense = $([tex]725 + 125 + 120 + 35 + 48 + 78 + 600 + 225[/tex])
That is, the total monthly expense is $1956.
It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $([tex]700 \times 4[/tex]), that is, $2800.
Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $([tex]2800-1956[/tex]), that is, $844.
The monthly income is $844.
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Nijah has 45 stickers.
She gives 2/5 to her sister.
She gives 1/3 of her remaining stickers to Brett.
How many stickers does Nijah have left?
Answer:
Nijah has 6 stickers left.
Step-by-step explanation:
Starting stickers:
45
2/5 are given away:
[tex]\frac{2}{5}[/tex] * 45
[tex]\frac{2}{5}[/tex] * [tex]\frac{45}{1}[/tex]
[tex]\frac{90}{5}[/tex]
18
1/3 of the remaining are given away:
[tex]\frac{1}{3}[/tex] * 18
[tex]\frac{1}{3}[/tex] * [tex]\frac{18}{1}[/tex]
[tex]\frac{18}{3}[/tex]
6
Nijah has 6 stickers left.
Answer:
18
Step-by-step explanation:
Find the part she gave to her sister
45 *2/5 = 18
The part remaining is
45 - 18 = 27
She gives 1/3 to Brett
27 * 1/3 = 9
She has 27 - 9 = 18
She has 18 remaining
-5(-x - 1) + 4x – 1= 49
solve for x
Answer:
x=5
Step-by-step explanation:
-5(-x - 1) + 4x – 1= 49
Distribute
5x +5 +4x -1 = 49
Combine like terms
9x +4 = 49
Subtract 4 from each side
9x+4-4 = 49-4
9x = 45
Divide by 9
9x/9 =45/9
x = 5
Answer:
[tex]\huge \boxed{x=5}[/tex]
Step-by-step explanation:
[tex]{\Large -5(-x - 1) + 4x -1= 49}[/tex]
Expand brackets.
[tex]5x+5+ 4x -1= 49[/tex]
Combine like terms.
[tex]9x+4=49[/tex]
Subtract 4 from both sides.
[tex]9x+4-4=49-4[/tex]
[tex]9x=45[/tex]
Divide both sides by 9.
[tex]\displaystyle \frac{9x}{9} =\frac{45}{9}[/tex]
[tex]x=5[/tex]
ABC is a right triangle. If AB= 3 and AC= 7, find BC. Leave your answer in the simplest radical form.
1.) 2√13
2.) √58
3.) 4√3
4.) 2√3
Using Pythagorean theorem
[tex]\\ \sf\longmapsto BC^2=AB^2+AC^2[/tex]
[tex]\\ \sf\longmapsto BC^2=7^2+3^2[/tex]
[tex]\\ \sf\longmapsto BC^2=49+9[/tex]
[tex]\\ \sf\longmapsto BC^2=58[/tex]
[tex]\\ \sf\longmapsto BC=\sqrt{58}[/tex]
The graph of y vx is translated 5 units to the left and 7
units up. What is the equation of the graph that results from
this translation?
y=-1.4x
Step-by-step explanation:
divide the change in y by the change in x to find the gradient,
7 divided by -5 [as the translation is to the left].
there might be a y intercept value, c as in
y=mx + c but with the given information without thee starting points it is hard to find
The required equation of the graph that results from the translation is y = √(x + 5) + 7.
What is translation on the coordinate plane?Translation on a coordinate plane is a transformation that moves an object or figure from its original position to a new position in a straight line. It is also called a "slide." In translation, all points of the object are moved by the same distance in the same direction.
Here,
To shift the graph of the function y = √x to the left by 5 units, we need to replace x with x + 5 in the equation. This will give us the graph of y = √(x + 5).
To shift the graph 7 units up, we need to add 7 to the entire function. This will give us the final equation of the translated graph:
y = √(x + 5) + 7.
Therefore, the equation of the graph that results from the translation is y = √(x + 5) + 7.
Learn more about translation here:
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Answer these questions about finding the missing
angle measures.
What is the measure of
What is the measure of
What can be concluded about these triangles?
Answer choices/:
what can be concluded?
1.corresponding angles are proportional
2.The triangles are congruent
3.The triangles are similar
Answer:
Answer number one the
Step-by-step explanation:
the unequal triangles. If measured by angle, they are equivalent.
Camille had $275 in her checking account . she deposited $812 and wrote checks $75, $60, and $48. how much did she have in the account after all these transactions?
What is the answer when you evaluate m + p - p2 ÷ 6; use m = 5 and p = 6 ?
Answer:
5
Step-by-step explanation:
m + p - p^2 ÷ 6
Let m = 5 and p=6
5 + 6 - 6^2 ÷ 6
Exponents first
5 + 6 - 36 ÷ 6
Then divide
5 + 6 - 6
Then add and subtract from left to right
11-6
5
what is |-41 | pls hurry
Answer:
41
Step-by-step explanation:
The absolute value means take the non-negative number
|-41| = 41
Find the length of RA. A. 42 B. 84 C. 14 D. 7
Answer:
[tex]\large \boxed{\mathrm{B. \ 84}}[/tex]
Step-by-step explanation:
[tex]LU[/tex] bisects [tex]RU[/tex] and [tex]UA[/tex].
[tex]RU=UA[/tex]
[tex]3m+21=6m[/tex]
Solve for m.
Subtract 3m from both sides.
[tex]21=3m[/tex]
Divide both sides by 3.
[tex]7=m[/tex]
Calculate [tex]RA[/tex].
[tex]RA=3m+21+6m[/tex]
[tex]RA=9m+21[/tex]
Put m = 7.
[tex]RA=9(7)+21[/tex]
[tex]RA=63+21[/tex]
[tex]RA=84[/tex]
Answer:
B) 84
Step-by-step explanation:
ΔLRU ≅ ΔLAU {SAS congruent}
Therefore, UA = UR {CPCT}
6m = 3m +21
Subtract 3m from both sides
6m - 3m = 3m + 21 -3m
3m = 21
Divide both sides by 3
3m/3 = 21/3
m = 7
RA = RU + UA
= 3m + 21 + 6m {add like terms}
= 9m + 21 {Plug in m =7}
= 9*7 + 21
= 63 + 21
RA = 84 units
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?
Answer:
A) (-3, 3) B) (-1, 1) C) (-2, 3)
Step-by-step explanation:
42=−7(z−3)
solve for z
plzzz help me thxs a bunch
step by step if can thx
Answer:
z=-3
Step-by-step explanation:
1:open the brackets.
2:take 21 to the other side to be subtracted by 42
3:you get a -z but you can take it to the other side to get a +z but -21 divide to get the answer
42=-7(z-3)
-7(z-3)=42
-7z+21=42
-7z=42-21
-7z=21
therefore,
z=21\-7
that is, -21\7=-3
Which of the following points is the greatest distance form y -axis a.2,7 b.3,5 c.4,3 d.5,1
will mark brainlist
Answer:
D
Step-by-step explanation:
It's d because it has the highest x value. The higher x value is the farther it is from the y-axis
Please answer it now
Answer:
1306.90≅ 1307 rounded to the nearest tens
Step-by-step explanation:
r= radius = 13 cm
l is the slant height =19 cm
surface area of the cone= area of the circle + area of the curved of the cone
SA=πrl +πr²
SA=π(13)(19) +169π
SA= 247π +169π= 416π=1306.90≅ 1307 rounded to the nearest tens
area and perimeter of a circle
Answer:
Top circle:
A=25pi or 78.54 sq cm
P = 10pi or 31.42 cm
Bottom circle(assuming D is 13 m):
A= 42.25pi or 132.73 sq m
P = 13pi or 40.84 m
Step-by-step explanation:
Special right triangles
what should we do??? the question isn't there!
HELP! Select the reason why these triangles are
similar. If they are not, select "Not similar."
10
800
22
15
800
33
B. SAS
A. AA
D. Not similar
C. SSS
Answer:
SAS
Step-by-step explanation:
Help!!!! Which number line shows the solution to 6 + (−6)?
Answer: Hi!
The solution to positive 6 and -6 is 0. A negative and a positive of the same absolute value cancel out.
Hope this helps!
Answer:
the answer is zero !
Step-by-step explanation:
when a negative and a positive of the same number go against each other they cancel out
when symplified 9a-6b+a-b
Answer:
10a -7b
Step-by-step explanation:
9a-6b+a-b
Combine like terms
9a+a -6b-b
10a -7b
Answer:
10a-7b
Step-by-step explanation:
[tex]9a - 6b + a - b \\ 9a + a - 6b - b \\ 10a - 7b[/tex]
-2(8 - 1)= find the product
Answer:
-14
Step-by-step explanation:
First, solve what is in the parentheses:
8-1=7
Now you have -2(7)
-2(7)=
-14
The product is -14!
Answer:
-14
Step-by-step explanation:
-2(8-1)
= -2*8 -2*-1
= -16 + 2
= -14
another solutión is:
-2(8-1)
= -2*7
= -14
I need help with these 3 questions plzzz.
Answer:
6. No. See explanation below.
7. 18 months
8. 16
Step-by-step explanation:
6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.
Let's find the GCF of 85 and 99:
85 = 5 * 17
99 = 3^2 + 11
5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.
Answer: No because the GCF of 85 and 99 is 1.
7.
We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.
6 = 2 * 3
9 = 3^2
LCM = 2 * 3^2 = 2 * 9 = 18
Answer: 18 months
We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.
Month Charlie Dasha
1 home home
2 home home
3 home home
4 home home
5 home home
6 trip home
7 home home
8 home home
9 home trip
10 home home
11 home home
12 trip home
13 home home
14 home home
15 home home
16 home home
17 home home
18 trip trip
Answer: 18 months
8.
First, we find the prime factorizations of 96 an 80.
96 = 2^5 * 3
80 = 2^4 *5
GCF = 2^4 = 16
Answer: 16
What axis does the independent quantity go on?