Answer:
Step-by-step explanation:
Using the pythagorean theorem, a^2+b^2=c^2
32/2=16, 20 would be the hypotenuse, so it would be 20^2-16^2=a^2 because we want to find the middle line. 400-256=144. sqrt(144) = 12.
Then since it is an isosceles triangle, we can simply do 12*16=192
The answer for 7 is 192ft^2
For #8, the answer is short leg * sqrt(3) = long leg
On another note, you can find the hypotenuse of a 30-60-90 triangle by doubling the shortest leg
Which side lengths form a right triangle?
Answer:
answer is option B
9² +40² =41²
81+1600=1681
Answer:
B) 9 , 40, 41
............
Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these events from least likely to most likely
Answer:
The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Possible outcomes:
Black - Black
Black - Blue
Blue - Black
Blue - Blue
Probability of each outcome:
Black-Black:
14 out of 20, and then 9 out of 12. So
[tex]P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}[/tex]
Black-Blue:
14 out of 20, then 3 out of 12. So
[tex]P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}[/tex]
Less likely than black-black.
Blue - Black:
6 out of 20, then 9 out of 12. SO
[tex]P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}[/tex]
More likely than black-blue, less likely than black-black.
Blue - Blue
6 out of 20, then 3 out of 12
[tex]P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}[/tex]
Least likely of the outcomes.
List these events from least likely to most likely:
The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black
the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?
Answer:
The two numbers are 11/8 and 5/6
Step-by-step explanation:
Let the unknown numbers be x and y
Given that the difference of two numbers is 13/24
x - y = 13/24
and that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other
11/12 * 1/x = 5/9 * 1/y
11/12x = 5/9y
cross multiply
12x * 5 = 11* 9y
60x = 99y
x = 99y/60
= 33y/20
substitute into x - y = 13/24
33y/20 - y = 13/24
13y/20 = 13/24
24y = 20
y = 20/24
= 5/6
x = 33y/20
= 33 *5/20*6
= 11/8
Please help thanks!
Answer:
10
Step-by-step explanation:
=13+ 3^3 ÷9 we can change it to:
=13+ 3^3/-9
3^3 can be changed to 27
13+ 27/9
=13+−3
=10
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.
The ladder will reach a height of 20.6 feet
The given parameters are:
Length = 45-footHeight = 27 feetStart by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem
[tex]45^2 = 27^2 +d^2[/tex]
Collect like terms
[tex]d^2= 45^2 -27^2[/tex]
[tex]d^2= 1296[/tex]
Take square roots of both sides
[tex]d= 36[/tex]
When the ladder is moved 4 feet farther, the new distance becomes
[tex]d= 36+4[/tex]
[tex]d= 40[/tex]
The new height (h) of the ladder is then calculated using the following Pythagoras theorem
[tex]45^2=40^2 + h^2[/tex]
Collect like terms
[tex]h^2 = 45^2-40^2[/tex]
[tex]h^2 = 425[/tex]
Take the square roots of both sides
[tex]h = 20.6[/tex]
Hence, the ladder will reach a height of 20.6 feet
Read more about Pythagoras theorem at:
https://brainly.com/question/654982
Here are 2 right triangles.
9
S
у
a. Explain how you know the right triangles are similar.
Type your response in the space below.
В І о
B
Answer:
Step-by-step explanation:
They are similar because they have two respective congruent angles
What is the compound probability that student A chooses yellow and student B chooses yellow from their mnms at the same time? How likely is this? Yellow is worth 7/30
Step-by-step explanation:
yea................................
please help! 10 points and brainlyist!!
Answer:
1.80 in^3
1.0 fluid ounces^3
Step-by-step explanation:
volume of a cone = 1/3 πr²h
π = 3.14
r = 2.2 / 2 = 1.1
h = the value of h can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1.8² = 1.1² + b²
3.24 = 1.21 + b²
3.24 - 1.21 = b²
2.03
b = √2.03 = 1.42
Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3
1.80 x 0.554 = 1.0 fluid ounces^3
Graph the solution of 3x - 5<-8 or 2x – 7 >3.
Answer:
To be Honest I Really Don't know What are the Answers?
A) 3x -7 = 2x+5
3x-2x= 5+7
1x= 12
Resposta final: x=12 e so fazer sequindo o exemplo
Students at a local high school travel to school by car, bus, and bicycle. 1/5 of the 825 students Tavel by car, 48% of the students travel by bus, 0.08 of the students travel by bicycle. The remaining students travel to school by walking. How many students walk to the local high school?
Answer:
198 students walk to the local high school
Step-by-step explanation:
Total number students = 825
1/5 of the students travel by car
48% of the students travel by bus
0.08 of the students travel by bicycle
To find the number of students who wal to school we have to find the exact number of students who travel to school by car, bus and bicycle and subtract the result from the total number of students
Students who travel by car = 1/5×825
= 165 students
Students who travel by bus = 48% × 825
= 48/100 × 825
= 12/25 × 825
= 396 students
Students who travel by bicycle = 0.08 × 825
= 66
So now we add the results fo the equations above and subtract it from the total number of students to get the number of students that walk to school
Students that walk to school = 825 - (165 + 396 + 66)
= 825 - 627
= 198 students
Therefore 198 students walk to the local high-school
What is the solution to the system of equations
Answer:
Y = -8.17
X= -4.936
For the first one
Step-by-step explanation:
4x=26+6y
X = 6.5+1.5y
5(6.5+1.5y)-4y = 8
32.5+7.5y-4y = 8
24.5=-3y
Y = -8.17
X= -4.936
Please help me with these questions
Answer:
A. <EKH and <EKF
B. <EKH and <FKG
C. <HKJ and <GKJ
Step-by-step explanation:
A. A linear pair are two adjacent angles that forms a straight line that equals 180°.
<EKH and <EKF is a linear pair
B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.
<EKH and <FKG
C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.
<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.
How many feet is it from goal line to goal line on a regulation football field
that is 100 yards long? It is measured in the
A. tens
B. thousands
C. millions
D. hundreds
Answer:
D. hundreds
Step-by-step explanation:
if a football field is 100 yards long then it is 300 feet long and that is in the hundreds
Belinda gets 1 3/4 h for lunch. She spends 1/3 of her lunch walking for exercise. How much time does Belinda spend walking ?
This unit is operations and fractions how would I solve this?
Answer:
7/12 h
Step-by-step explanation:
1/3 of 1 3/4 = 1/3 of 7/4 = 1/3 x 7/4 = 7/12 h
Conner Solved 2 math problems in 5 minutes. Atthis rate, how long will it take Conner to solve 10 math problems?
Answer:
25 minutes Will take him to complete the problem if the rate is same
Answer:
25 minutes
Step-by-step explanation:
Divide 10 by 2 and get 5.
Multiply 5 by 5 and get 25.
Pls notify me if my answer is incorrect, for the other users that will see this response.
-kiniwih426
which inequalities pairs with y<-2x-1 to complete the system of linear inequalities represented by the graph?
Find the missing side
Answer:
x = 20.31 inches
Step-by-step explanation:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(62^{\circ})=\frac{x}{23}[/tex]
[tex]23sin(62^{\circ})=x[/tex]
[tex]x=20.3079464[/tex]
[tex]x\approx20.31[/tex]
Therefore, the missing side is 20.31 inches long.
What is the average rate of change of f over the interval [3,4]?
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = - 1 ← from table
f(a) = f(3) = - 5 ← from table , then
average rate of change = [tex]\frac{-1-(-5)}{4-3}[/tex] = [tex]\frac{-1+5}{1}[/tex] = 4
1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.
Answer:
a = 2
b = 0
c = 3
Step-by-step explanation:
if I understand correctly the problem should look like
2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)
let's calculate the right side
ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c
as there is only one term of x⁴, we know a = 2
as there is only one term without any x, we know c = 3
now we get
2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3
remember, that is equal to
2x⁴ + 2x³ + 5x² + 3x + 3
after subtracting 2x⁴ and 3 from both sides we get
2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x
we subtract 2x³ and 3x from both sides and get
5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx
we subtract 5x² from both sides and get
0 = bx³ + bx² + bx
=> b must be 0 to make this true for all values of x
find the area of the irregular figure. 2in. 5in. 2in. 4in. 4in. 3in. 3in.
The shape can be split into 3 separate shapes:
On the left side a square 3 x 3 = 9 square inches.
The middle rectangle that is 2 x 5 = 10 square inches
The bottom rectangle which is 4 x 4 = 16 square inches
Total area = 9 + 10 + 16 = 35 square inches
Solve for x. Assume that lines which appear tangent are tangent. x=
Answer:
this is a long shot( like rly long) but try either -6 or -3
Step-by-step explanation:
Don't co.e for me if I'm wrong im just a poor girl in year 8
Jasmine drew triangles on a globe and on a flat map of the world, as shown below.Which is a true statement comparing Jasmine’s two drawings?
A. The angle sum of the triangle on the globe is equal to the angle sum of the triangle on the map.
B. The angle sum of the triangle on the globe is greater than the angle sum of the triangle on the map.
C. The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe.
D. There is only one line connecting New York to Paris on the map but more than one line connecting New York to Paris on the globe
Answer:
B
Step-by-step explanation:
OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good
The true statements on comparing Jasmine’s two drawings are B and C.
What is Angle Sum Property of a Triangle ?The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.
It is given in the question
Jasmine drew triangles on a globe and on a flat map of the world
On comparing both the triangle the conclusions are
The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.
Among the option given this is also true that
The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe
Therefore option B and C are both true statement comparing Jasmine’s two drawings .
To know more about Angle Sum Property
https://brainly.com/question/8492819
#SPJ2
Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.
Help
Answer:
13 2/11
Step-by-step explanation:
40/11+105/11
145/11
13 2/11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]
[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]
[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]
[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]
[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]
[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]
[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]
[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]
[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]
[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]
[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]
[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
A . 12
B . 15
C . 36
D .39
Answer:
The answer is 36 or c all you need to do is multiply 12 by 3
C-36 because your multiplying all of them by 3
Select all of the true statements about the sides of a right triangle.
A. The legs are the sides next to the 90 (right) angle.
B. The hypotenuse is the longest side
C. Side “a” is always longer than side “b”.
D. The hypotenuse is opposite the 90 (right) angle.
Answer:
It should be options B and D
22 dividido en 3 es?
Answer:
Step-by-step explanation:
7.3
Answer:
7.3
Step-by-step explanation:
22/3 = 22/3
(Decimal: 7.333333)
On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12
Answer:
1 : 64
Step-by-step explanation:
We require the dimensions to be the same units
1 foot = 12 inches , then
85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches
Scale is then
16 in : 1024 in ( divide both parts by 16 )
= 1 : 64
LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO
You want all of the answers or just one?
Answer:
Step-by-step explanation:
opposite sides of a parallelogram are equal . So,
NM = OL
2x + 5 = x + 10
2x - x = 10 - 5
x = 5
substitute the value of x
NM = 2x + 5
=2*5 + 5
=15
for NO also substitute 5 inplace of x
Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of muffins. Write an expression to represent how much each friend must pay.
Answer:
27/18= 1.5
18/6 = 3
3•1.5= 4.5
Step-by-step explanation:
$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.
PLEASEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
The correct algebraic expression is [tex]8+2c[/tex] or also, [tex]2c+8[/tex] because they are the same thing.
Step-by-step explanation:
Hope this helps and,
pls let me know if it was correct.