A rectangular park 60m long and 40m broad is surrounded by a path of 4m. Then the area of path will be:
Answer:
A = 864 m^2
Step-by-step explanation:
For a rectangle of length L and width W, the area is given by:
A = W*L
We know that the park has:
L = 60m
W = 40m
Now, if we surround the whole park with a path that is 4m wide, then the rectangle made by the park and the path has the dimensions:
L' = 60m + 2*4m
W' = 40m + 2*4m
(as you can see in the sketch at the end)
The area of the path will be equal to the difference between the area of the rectangle made of the park + the path, and the area of the park alone.
This is:
A = L'*W' - *W
A = ( 60m + 2*4m)*(40m + 2*4m) - 60m*40m
A = 68m*48m - 60m*40m
A = 864 m^2
Determine if the two triangles in the image above are similar. If so, what’s the correct postulate. SSS, SAS, AA, or None
Answer:
SAS
Step-by-step explanation:
A small toy block shaped like a right rectangular prism measures 6 cm long, 3 cm wide, and 2 cm high. What is the volume of the toy block?
36cm³
Step-by-step explanation:
Volume= mass
density
If 6x − 8 = 7x, then 13x =_____?
Which equation should you solve to find x?
Answer:
C
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C
Note
sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )
tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]
Brittany stamps 20 letters in 1
hour. How many hours will it
take her to stamp 380 letters?
1.) Write an equation of the line that passes through the point (3,-2) and is
perpendicular to y=-1/2X+4.*
Your answer
Answer:
y = 2x - 8
Step-by-step explanation:
Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
PLZZZZ HELP I WILL MARK BRAINLIEST!!!
Answer:
41.1 feet of ribbon was leftover
(fraction form: 41 1/10)
Step-by-step explanation:
122 1/2 = 122.5
32 2/5 = 32 4/10 = 32.4
122.5 x 0.4 = 49
122.5 - 49 = 73.5
73.52 - 32.4 = 41.1
41.1
Answer:
Step-by-step explanation:
40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.
Equation: y=p%·x
p=40% x=122.5
Solve the equation for y.
y=p%·x
y=40%·122.5'
Converting percent to decimal.
p = 40%/100 = 0.4
y=0.4·122.5
y=49
[tex]49-32\frac{2}{5}[/tex]
[tex]49-\frac{162}{5}[/tex]
[tex]\frac{83}{5}[/tex]
[tex]16\frac{3}{5}[/tex]
Answer:
Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.
Can someone please help me with my homework
Answer:
a=-1 goes to the third graph (because it's negative so obviously it's a sad smile)
a=1 goes to the first graph
a=0.25 goes to the second graph
Step-by-step explanation:
The smaller the value of a, the wider the the parabola would be. If the value of a is large then the parabola becomes smol
I REALLY NEED HELP RIGHT NOW! T^T
Applying the 30-60-90 Theorem, Solve this.
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using cos rule
cos 30=adjacent/hypotenuse
[tex]\sqrt{3}[/tex]/2=7[tex]\sqrt{3}[/tex]/y(do cross multiplication)
14[tex]\sqrt{3[/tex]=y[tex]\sqrt{3}[/tex]
14[tex]\sqrt3}[/tex]/[tex]\sqrt{3}[/tex]=y
14=y
for x
using pythagorsa theorem
H^2=P^2+B^2
14^2=X^2+(7[tex]\sqrt{3}[/tex])^2
196=X^2+147
196-147=X^2
49=X^2
[tex]\sqrt{49}[/tex]=X
7=X
What two numbers multiply to 7 and add up to -6?
Answer:
-7 and 1 multiply to 7 and add up to -6
Step-by-step explanation:
-7 and 1 multiply to 7 and add up to -6
B = P + Prz solve for r
Answer:
(B-P) / Pz = r
Step-by-step explanation:
B = P + Prz
Subtract P from each side
B-P = P -PPrz
B-P = Prz
Divide each side by Pz
(B-P) / Pr = Prz/Pz
(B-P) / Pz = r
hi pls help i’ll give brainliest
Answer:
Nuclear fusion that takes place between hydrogen atoms.
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Like most stars, the sun is made up mostly of hydrogen and helium atoms in a plasma state. The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons.
7 times a certain number is decreased by 8 and the result is equals to 20
Answer:
let x represent the number
7x-8=20
7x=20+8
7x=28
x=28/7
x=4
this is the correct answer
Answer:
7x-8=20 or x=4
Step-by-step explanation:
Let's say the certain number is x
7x-8=20
Add 8 on both sides:
7x-8+8=20+8
Simplify:
7x=28
Divide 7 on both sides:
[tex]\frac{7x}{7}[/tex]=[tex]\frac{28}{7}[/tex]
Simplify:
x=4
Help me out please thank you ?!!!
Answer:
1) 69 2) 69 3) 60 4) 60 5) 51
Step-by-step explanation:
Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.
For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.
Hope this helps you in some way. if not, sorry i failed you.
Answers
angle 1 = 111 degreesangle 2 = 69 degreesangle 3 = 60 degreesangle 4 = 60 degreesangle 5 = 51 degreesBe sure to use the actual degree symbol instead of typing in "degrees" after each number.
========================================================
Explanation:
To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees
The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)
------------------------
Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary
(angle1)+(angle2) = 180
(111)+(angle2) = 180
angle2 = 180-111
angle 2 = 69 degrees
This method is used to prove the vertical angles theorem is always true.
-------------------------
Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3
y+82 = 142
y = 142-82
y = 60
angle 3 = 60 degrees
Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.
---------------------------
Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees
---------------------------
Let z = measure of angle 5
Focusing on the smaller triangle in the middle, we can say,
(angle2)+(angle4)+(angle5) = 180
(69) + (60) + (z) = 180
z+129 = 180
z = 180-129
z = 51
angle 5 = 51 degrees
pls help lol I don’t understand it at all :((
Answer:
I only know these, I am not sure of the answers too.
Step-by-step explanation:
Types of angles : 20°(acute angle), 90°(right angle)
Key information :
Equation : 20° + x° = 90°
Solution : x = 70°
Y=-7(x+3)(x-2) in standard form
Answer:
7 x − y = 17
Step-by-step explanation:
Apply the distributive property.
y + 3 = 7 x+ 7 ⋅ − 2
Multiply 7 by − 2 .
y + 3 = 7x − 14
Rewrite the equation with the sides flipped.
7 x − 14 = y + 3
Move all terms containing variables to the left side of the equation.
Subtract y from both sides of the equation.
7x−14−y=3
Move -14.
7x−y−14=3
Step-by-step explanation:
Solve the inequality -8m < 24
Answer:
m > -3
Step-by-step explanation:
-8m/-8 < 24/-8
when dividing by a negative number the sign changes
m > -3
One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply. 45, 65, 30,15.
Answer:
45°
Step-by-step explanation:
(180-90)/2 = 90/2 = 45°
The answer is 45°.
Step-by-step explanation:
Hey there!
Since it is an isoceles triangle two angles must be equal.
Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.
Then;
x+x+90° = 180° { Sum of interior angles of a triangle is 180°}
or, 2x + 90° = 180°
or, 2x= 180° - 90°
or, 2x = 90°
or, X= 90°/2
or, X=45°.
Therefore, the other angles are 45° and 45°.
Hope it helps!
h(x)=x−4h
What is the domain of h?
Answer:
h= x/ x+4
Step-by-step explanation:
Move all terms to the left side and set equal to zero, Then set each factor equal to zero.
What's the exact length of BC?
A) 8√3
B) 5√6
C) 12
D) √306
Answer:
The answer is (15)²= (9)²+(BC)²
225=81+(BC)²
BC=√144
BC=12
They also have a pdf for it
copy and paste this pdf it should help you mepanswers.pdfStep-by-step explanation:
Which graph has a range of (-inifinty,O]
Explain what you think
Answer:
Step-by-step explanation:
It's the graph on the left. First of all, range is a y-value thing (as opposed to an x-value thing). If we "read" that range from left to right, we have to begin our range interval at -∞, which actually has no beginning, and end our range interval at 0. The graph on the left goes does into infinity and maxes out at 0. (The one on the right starts at 0 and goes up into +∞).
anong uri ito ng NGO/PO?
[tex]_____________________________________[/tex]
ANSWER:Ang uri ng NGO/PO ay isang magagalang na salita saating bansa at ito ay dapat gamitin sa mga nakakatanda saatin upang sa paggalang.Akala ko ako lang Pilipino dito
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂help with full calculations
Answer:
2. (b) ∠ZYX
3. (b) noncollinear
Step-by-step explanation:
2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.
Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.
__
3. Points not on the same line are noncollinear. Point E does not lie on line AB, so points A, B, and E are noncollinear.
Which series is convergent? Check all that apply.
Answer:
The convergent series are;
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]
(And)
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]
Step-by-step explanation:
A series in mathematics is the sum of a sequence of numbers to infinity
A convergent series is a series that sums to a limit
From the given options, we have;
First option
[tex]\sum \limits _{n = 1}^\infty \dfrac{2\cdot n}{n + 1}[/tex]
As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges
Second option
[tex]\sum \limits _{n = 1}^\infty \dfrac{n^2 - 1}{n - 2}[/tex]
As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges
Third option
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]
As 'n' increases, [tex]\left( \dfrac{1}{5} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges
Fourth option
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]
As 'n' increases, [tex]3 \times\left( \dfrac{1}{10} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges
Fifth option
[tex]\sum \limits _{n = 1}^\infty \dfrac{1}{10} \cdot (3) ^n[/tex]
As 'n' increases, [tex]\dfrac{1}{10} \cdot (3) ^n[/tex], becomes more larger and tend to infinity, therefore, the series diverges.
Answer:
C and D
Step-by-step explanation:
Edge 2021
I NEED THIS ANSWERED ASAP PLEASE HELP!!! select the correct answer for points
Answer:
C. 120°
Step-by-step explanation:
length of arc = 4π cm
r = 6 cm
central angle = s/r
=> central angle = 4π/6
=> central angle = 2π/3 radians
In degrees,
central angle = (2π/3)(180/π) = 120°
hope this helps and is right. p.s i really need brainliest :)
There are 29 students in Mrs. Dixon's science class. On the last test, only 1 student earned the median score of 84.
How many students scored an 84 or lower?
A - 15
b - 14
C - 13
D - 12
Answer:
A
Step-by-step explanation:
Median can be described as the number that occurs at the middle of a set of observations.
for example, in the set of numbers, 1 2 3 4 5, the median is 3
median = (first number + last number) / 2
If there are 29 students,
median = (1 + 29) / 2 = 30/2 = 15
the 15th students scored 84
and students between 1 - 14 scored lower than 84
so, 15 students scored an 84 or lower
Jorge's friend Anna planted a garden with the same ratio of tulips to daisies. Anna's garden has 21 tulips. How many total flowers are in Anna's garden?
Answer:
48 flowers
Step-by-step explanation:
Since, the ratio of tulips to daisies are the same.
Hence, if we have x number of daisies, then the number of tulips will also be x.
Therefore, with number of tulips being 21 and equal ratio of daisies will also mean that Anna has 21 daisies .
The total number of flowers will be :
Number of tulips + Number of daisies
21 + 21 = 42 flowers
please help me i really need help
Answer:
90
Step-by-step explanation:
Answer:
LITERALLY THESE WORDS: Because it goes up 8 and over 15
Step-by-step explanation:
if the goes up 8 and over 15 that has to be the slope.
I hope this helps even though its probably not :)