Answer:
20
Step-by-step explanation:
1000g = 1 kil0
2 x 1000 = 2000g
Number of cakes = 2000 / 100 = 20
∆ABC is isosceles with legs AB and AC. If AC = 6 cm, and the perimeter is 15 cm, calculate m∠B.
Answer:
m∠B = 75.5°
Step-by-step explanation:
Since AC = 6, then AB = 6 and BC = 15-6-6 = 3
The altitude from A bisects side BC. Let the point of intersection of the altitude and BC be point D. Then BD = 1.5
Cos B = 1.5/6
m∠B = arcccos (1.5/6)
m∠B = 75.5°
Use the Multiplication Law of Exponents to solve the expression below. 91/2.91/2=
Answer: 15.64
Step-by-step explanation:
kahn
EXPLAIN PLEASE HSHSJJS
1. Which of the angles below are supplementary?
Answer:
<3 and <4
Step-by-step explanation:
4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8
Answer:
b > -15
Step-by-step explanation:
4b - 12 - 55 < 9b + 8
Combine terms.
4b - 67 < 9b + 8
Subtract 9b from both sides.
-5b - 67 < 8
Add 67 to both sides.
-5b < 75
Divide both sides by -5. When dividing by a negative, flip the sign.
b > -15.
Let f (x) = 1/ x-3and g(x) = x+5. What is the domain of (fºg)(x)?
Answer:
I can't find that file. please give it again.
Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?
Answer:
170 pages
Step-by-step explanation:
Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution
The number of pages he read for the first day :
The first day 1/5 of the pages of the book
This is calculated as:
1/5 × 340 pages
= 68 pages
For the second day:
The second 1/4 of what remains to be read
The number of pages remaining after the first day is calculated as:
340 - 68 = 272 pages
Hence, the number of pages read on the second day is
1/4 × 272 pages
= 68 pages
For the third day
One the third day, 1/6 of the rest was read.
The number of pages remaining after the first day is calculated as:
272 - 68 = 204 pages
Hence, the number of pages read on the third day is
1/6 × 204 pages
= 34 pages
Therefore, the number of pages Roberto has to read on the fourth day is calculated as:
340 pages - (68 + 68 + 34)pages
340 pages - 170 pages
= 170 pages
Two expressions are shown below:
1. 514÷23
2. 514×32
Without solving these expressions, determine if they are equivalent. How do you know? (Please help..)
Answer:
Clearly they are not equivalent because division will get you a smaller number ( except when decimals are in used or special cases ) as an answer and division times the number that will oppositely get you a bigger number ( again, except the decimal or special cases )
The scatter plot shows the amount of sunlight some tomato plants received and the amount of each plant grew
Answer:
Option D
Step-by-step explanation:
The complete question is attached herewith.
Also the options for the same are as follows -
What is the meaning of the slope of the trend line shown on the scatterplot?
A A plant grows about 3 inches for every 2 hours of sunlight it receives.
B A plant grows about 2 inches for every 3 hours of sunlight it receives.
C A plant grows about 3 inches for every 1 hour of sunlight it receives.
D A plant grows about 1 inch for every 3 hours of sunlight it receives.
Solution
If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.
At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.
Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.
Hence, option D is correct
Find the surface area of the prism 12in 7in 5in
Answer:
Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula
Step-by-step explanation:
Find the length DE. Round your answer to the nearest tenth of a meter
Answer:
13.8
Step-by-step explanation:
We can use trigonometry to find the length of DE
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )
When working with opposite and adjacent we use the trig ratio tangent
That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )
so [tex]tan(51)=\frac{17}{x}[/tex]
now we solve for x
Step 1 multiply each side by x
tan(51) * x = x tan (51)
[tex]\frac{17}{x} *x=17[/tex]
now we have x tan (51) = 17
step 2 divide each side by tan (51)
[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]
we now have
[tex]x =\frac{17}{tan(51)} \\[/tex]
[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]
we're left with x = 13.76632856
Finally we round to the nearest tenth and get that the answer 13.8
Identify the area of the trapezoid.
Answer:
A = 37.5
Step-by-step explanation:
The formula for finding the are of a trapezoid is (a + b)/2(h)
a = base
b = base
h = height
A = (6.1 + 8.9) / 2(5)
A = 37.5
Answer:
The answer is 37.5.
Step-by-step explanation:
The area for a triangle is A=1/2 bh.
In this case, we have 2 triangles, so we just make it one rectangle.
Each triangle is (1.4*5)/2. (1.4*5)*2/2=7.
You do 2/2 because the half and the two triangles cancel out.
6.1*5=30.5.
30.5+7=37.5
What is 5 to the 6 power divided by 3794.3?
Answer:
4.11801913396
Step-by-step explanation:
Heart me pls
Find x for this problem
11
11
10
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
PLEASE HELP IT'S URGENT!!!
The coordinate grid shows the graph of four equations:
A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (1, 2) as its solution? (5 points)
Select one:
a. A and D
b. C and D
c. A and C
d. B and D
Answer:
C. A and C
Both pass by (1,2)
Write the equation for the line through the following cities. 16.Ankara and Tbilisi ______________________________________ 17.London and Warsaw ______________________________________ 18.Amsterdam and Minsk ______________________________________ 19.Oslo and Rome ______________________________________ 20.Bern and Riga ______________________________________ 21.Tallinn and Vilnius ______________________________________ 22.Madrid and Sofia __________
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the graph or points of each city are not given.
So, I will provide a general explanation.
To calculate the equation of line through two points;
Start by writing out the coordinates of the two points.
For instance:
[tex]London = (4,6)[/tex]
[tex]Warsaw = (20,10)[/tex]
This points will be represented as:
[tex](x_1,y_1) = (4,6)[/tex]
[tex](x_2,y_2) = (20,10)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{10 - 6}{20 - 4}[/tex]
[tex]m = \frac{4}{16}[/tex]
Simplify
[tex]m = \frac{1}{4}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = \frac{1}{4}(x - 4) + 6[/tex]
Open bracket
[tex]y = \frac{1}{4}x - 1 + 6[/tex]
[tex]y = \frac{1}{4}x +5[/tex]
Apply the above steps in the original question
Choose the inequality that represents the following graph.
plz help me illl give brainlist 5.0 and thanks plz help rn !!!
Answer:
4+4+1
Step-by-step explanation:
Answer:
4 + 4 + 1
Step-by-step explanation:
4 + 4 + 1 = 9
4 + 5 = 9
They both equal up to 9
Find the volume help me pls and thank
Answer:
Volume = 14.333
Step-by-step explanation:
Answer: 14.34 cm^3
Step-by-step explanation:
V = lwh
V = 3.2 cm x 2.8 cm x 1.6 cm
V = 14.34 cm^3
If the sales tax for the city of Florida is 6.75%, how much tax would you pay for an item that costs $ 150.00?
Answer:
160.13
Step-by-step explanation:
you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150
A quality control inspector at a clothing manufacturer
Quality control inspectors monitor quality standards for nearly all manufactured products, including foods, textiles, clothing, glassware, motor vehicles, electronic components, computers, and structural steel. Specific job duties vary across the wide range of industries in which these inspectors work.
THINK ABOUT WHETHER THEY ARE ASKING FOR CURCUMFERENCE OR AREA If you want to Make sure to have the most pizza which would you rather two 12 inch medium or one 18 inch large. Justify your answer mathematically
Answer:
The maximum pizza quantity would be with the pizza of 18 inch
Step-by-step explanation:
The size of the pizza in inches depicts its diameter.
Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch
In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.
For instance
Area of 18 inch pizza
[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch
Area of 12 inch pizza
[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch
Circumference of 18 inch pizza
[tex]2*3.14*9 = 56.52[/tex]
Circumference of 12 inch pizza
[tex]2*3.14*6 = 37.68[/tex]
HELP ASAPUse the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x + 4).
P
p +
2.
-2.
9
-6
6
4
3
-1
1
-3
4
A. 2 and -6
B. -3 and 4
C. -2 and 6
D. 3 and -4
Option B is correct, the values of p and q in expression are -3 and 4.\
The given expression is x²+x-12.
This is expressed as (x+p)(x+q)
We have to find the values of p and q.
x²+x-12
Let us factorize the expression:
x²+4x-3x-12
x(x+4)-3(x+4)
(x-3)(x+4)
When we compare this with (x+p)(x+q) we get:
p=-3 and q=4
Hence, the values of p and q in expression are -3 and 4.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ7
Simplify -2.3f + 0.8f - 16 - 3
Answer:
− 1.5 f −19
that's the correct answer.
which scatterplot is it lol
Answer:
A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point
What are the answer please number which question you are answering
Answer:
7.
This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:
b + 52 = 90
b = 38.
Therefore, b is 38 degrees.
8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:
b + 117 = 180
b = 63
Therefore, b is 63 degrees.
9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:
b + 125 = 180
b = 55
Therefore, b is 55 degrees.
9. Mr. McDonald has $500.00 to spend at a bicycle store. All prices listed
below include tax. He buys a new bicycle for $273.98. He buys 3 bicycle
reflectors for $7.23 each and 1 bicycle helmet for 42.36. he plans to use
the remaining money to buy new cycling outfits for $78.12 each. Write and
solve an inequality to determine the greatest number of cycling outfits
that Mr. Mc Donald can buy with the remaining money? *
Answer:
This will explain it
Step-by-step explanation:
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
_____
The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.
A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?
Answer:
It would be a 2/9 chance.
Step-by-step explanation:
So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.
With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.
Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.
With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.
Now, combine these two probablities by multipliying them and you've got your answer!
5/10 * 4/9 = 20/90 ---> 2/9
The tile showen are placed in a bag you randomly select one of the tiles return it to the bag and randomly selecting Lo tile what is the probability that the first number divided by the second number is greater than zero
Answer:
15
Step-by-step explanation:
The probability that the first number divided by the second number is greater than zero is 1/3
What is probability?Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Tiles are numbered -2,-1,1,2
So, possibility first number divided by the second number is greater than zero
-2/-1=2
-2/1=-2
-2/2=-1
-1/-2= 0.5
-1/1=-1
-1/2=-0.5
1/-2=-0.5
1/-1=-1
1/2=0.5
2/-2=-1
2/-1=-2
2/2=1
Probability the first number divided by the second number is greater than zero = 4/12=1/3.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
Show by a rough sketch that there are four points which are at a distance of 2cm from the
given line AB and 3cm from the point A.
Answer:
.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Step-by-step explanation: