Answer:
<2 =67
Step-by-step explanation:
A linear pair adds to 180 degrees
<1 + <2 =180
113+ <2 = 180
<2 = 180-113
<2 =67
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25
Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
833.3 ft^3
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
((12.5)(12.5)(16))/3
((156.25)(16))/3
2500/3
833.3 ft^3
Hope this helps (●'◡'●)
The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
=((12.5)(12.5)(16))/3
=((156.25)(16))/3
=2500/3
=833.3 ft^3
Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
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Please help!! I am literally in tears!!
Without graphing, explain how you know the equation
y = - 1/2x^2 - 7 will be compressed
(compared to the parent function of y=x^2).
Answer:
" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)
y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)
if you add 1 to the equation y = x^2 + 1 it shifts UP one
if you subtract 3 y = x^2 -3 it shifts down three ....
if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..
note that this slide is opposite to the sign + 4 left slide , - 4 right slide...
NOW YOUR QUESTION !!!! if the coefficient is > 1
y = 99 x^2 then the graph gets "skinny" goes up faster...
if it is less than one (between -1 past 0 to +1 ) then it flattens out
Bottom line here your coefficient is a "-1/2"
so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪
I hope that this helps
Step-by-step explanation:
Expand : (3x+5y)²
please answer
Answer:
FOIL: [tex]9x^2 +30xy + 25y^2[/tex]
(3x + 5y)(3x+5y)
F: 3x*3x
O: 3x*5y
I: 5y*3x
L: 5y*5y
[tex]9x^2 +30xy + 25y^2[/tex]
Step-by-step explanation:
The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).
Answer:
151,031
Step-by-step explanation:
If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:
[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.
Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:
[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]
Therefore, in 5 years, the population should be 151,031.
Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 73° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.
Answer:
15.30 feet
Step-by-step explanation:
The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:
[tex]sin(73^{o}) = \frac{x}{16}[/tex] where x is the wall height that the ladder reaches.
Multiply both sides by 16 we get:
[tex]x = 16{sin(73^{o})}[/tex]
Using the calculator, we can get 15.30
The height up to which does the ladder reach will be equal to 15.30 feet
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:
[tex]\rm Sin 73=\dfrac{x}{16}[/tex]
where x is the wall height that the ladder reaches.
Multiply both sides by 16 we get:
[tex]x=16 Sin 73=15.30[/tex]
Using the calculator, we can get 15.30
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Help your girl out !!!!$$$
Answer:
3 to 12 reduced 1 to 4
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².
Answer: 4 8×8= 64 half the base which is 8 =4
Step-by-step explanation:
Answer:
height = 8 m
base = 16 m
Step-by-step explanation:
Let base = 2x m
So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]
Area = 64 m²
[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]
x * x = 64
x * x = 8 * 8
x = 8 m
Base = 2x = 2*8 = 16 m
Katherine Johnson is organizing the sale of supplies for the space mission. On the first day you of sales Dorothy Vaughan purchased 3 blankets and 9 trays for a total of $75. Mary Jackson spent 67 on the second day by purchasing 8 blankets and 5 food trays. What is the price of one blanket ticket and one food tray?
if 3A =2b=5c, then find A:B:C
Answer:
10:15:6
Step-by-step explanation:
let 3A=2B=5C
then,A=1/3,B=1/2,=1/5
therefore:A:B:C=1/3,1/2,1/5
10:15:6/30=10:15:6
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
JK=9x−5 KL=7x+3 find JL
Answer:
JL = 16x-2
Step-by-step explanation:
From the diagram, we can see that;
JL = JK + KL
Thus;
JL = 9x-5 + 7x + 3
JL = 9x + 7x -5 + 3
JL = 16x -2
The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.
For question 13 : A student ticket to the movies cost $4. Write an equation in which x presents the number of tickets purchased and y presents the total cost of the tickets. Please answer this for me pls and show your work. One right answer may get brainliest.
y = 4x
since x is the number of tickets, and each ticket costs 4, you just have to multiplicate the number of tickets by the value and you'll get the total, expressed as y.
hope it helps :)
Amanda woke up at 6:15 Am and slept 8 and 40 minutes at what time did Amanda go to bed
she slept at 9:35 am
hope it helps :)
Enter a recursive rule for the geometric sequence.
5, -10, 20, -40,...
a^1 = __; a^n = __
Answer
a^1=-2,5
a^n=a×a^n-1
A shopkeeper bought two watches for rs. 400 . He sold them to gain 5 % on one and 5 % loss on other . Calculate his final gain or loss percent of the selling price of both watches is same .
Answer:
69
Step-by-step explanation:
1234567890
Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.
Answer:
-10
Step-by-step explanation:
Inverse equation: x= -13y +52
simplify: y=-1/-13x + 4
Plug in for x: y= 1/-13 (182) +4
= -10
Answer:
y = -10
Step-by-step explanation:
x = -13 y + 52
y = (x - 52)/-13
~~~~~~~~~~~~~~~~~~
y = (182 - 52)/-13
y = -10
help please!! congruent figure
An item on sale costs 80% of the original price. The original price was $41.
Answer:
$32.80
Step-by-step explanation:
So you are trying to find out how much does the sale price cost?
Ok convert $41 into a decimal
$41 = $0.41
Then multiply 80% x $0.41
80 x $0.41 = 32.80
Answer:
$32.8
Step-by-step explanation:
Solve using a proportion
if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
what is the difference
Answer:
what is question of this you asked
The afternoon classes in a school begin at 1 PM
and end at 3:52 PM. There are 4 class periods
with 4 minutes between classes. How many
minutes are there in each class period?
Answer:
39 minutes
Step-by-step explanation:
Ok so first I found the difference between 1pm and 3:52 pm and it was 2 hours and 52 minutes
So then I took the 4 class periods and times it by for to see to total of minutes between class periods which was 16
Then I subtracted 16 for 52 to get 36 minutes
So now the time for class periods was 2.36 minutes
So I took that numbers and divided it by the 4 class periods and got 39 minutes.
Wow those are short class periods, mine are normally like an hour, but anyways hope this helped :). If I'm wrong please correct me. :)
There are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The afternoon classes in a school begin at 1 PM and end at 3:52 PM.
Duration of school = 2 hours and 52 minutes
Or
Duration of school = 172 hours
There are 4 class periods with 4 minutes between classes.
Duration of classes = 172 - 4(3)
Duration of classes = 172 - 12
Duration of classes = 160 minutes
Total minutes for each class period = 160/4 = 40 minutes
Thus, there are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.
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Expand and Simplify
10a-(3a+7)
An alloy of copper and zinc which contains 5 grams of zinc. If 15 grams of zinc are added to this alloy, a new alloy is obtained in which the copper content has been reduced by 30% from the original. Find the initial mass of the alloy
Answer:
Initial mass = 25 grams
Step-by-step explanation:
[tex]\left(\frac{x}{x+20}\right)\:=\:\:\left(\frac{x}{x+5}\:-.3\:\right)[/tex]
x = 20 (mass of copper)
[tex]\frac{20}{20+5} = .8 = 80[/tex] percent
[tex]\\\frac{20}{20+15} = .5 = 50[/tex] percent
which of the following is the symbol for parallel lines AB and XY?
Answer
A is the symbol for parallel lines AB and XY.
Explanation
B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.
C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.
Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.
which methods could you use to calculate the y coordinate of the midpoint of a vertical line segment with end points at (0,0) (0, -12). check all that apply
Answer:
D
Step-by-step explanation:
I like count by hand. If all else fails (like not being able to enter -12 into your calculator), counting by hand is a time honored method of getting answers.
That is never the answer in a math class. You should answer dividing -12 by 2
Solve the system of equations.
Answer:
(-1,3) and (2,6)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The graphs intersect at x=-1 and y =3 and x = 2 y=6
(-1,3) and (2,6)
Use the graph below to describe the linearization of the data. How would you expect the linearization to change if the data were to extend beyond age 20?
PLEASEEEE HELPPPP!!
Answer:
The coordinates of the points in the graph are;
(5, 2), (10, 3.5), (15, 5), 20, 5.5)
The data points are plotted using MS Excel
Given that the height of a person stops increasing beyond around 20 years of age, it is expected that the height will remain slightly the same at 5.5 feet beyond 20 as follows;
(25, 5.5), (30, 5.5), (35, 5.5), (40, 5.5)
Therefore, if the data were to extend beyond 20, the linearization will give a more horizontal line with a gentler slope
Please see attached graphs created with MS Excel
Step-by-step explanation:
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
