Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
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A ladder reaches 6 m up a wall with its foot 2·4 m from the wall. A person standing under the ladder at a point 80 cm from its foot would be able to touch the ladder at a height of _____ m from the ground.
Hey there! I'm happy to help!
We see that the ladder reaches a height of 6m from the ground while being 2.4 m from the wall. The ratio of the height to the length from the wall is 6:2.4 which can actually just simplify to 2.5 because 6m to is 2.4*2.5.
This person is 80 cm from the ladder's base. We just saw that you can take the distance from the wall (in this case, our wall is the human as the human is touching the height) and multiply it by 2.5 to find the height of the ladder at that specific point. So let's do that.
80*2.5= 200
We are looking for meters though. Since there are 100 centimeters in a meter, this is just going to be 2 meters.
Have a wonderful day! :D
Please help explanation if possible
that's the answer pls mark as brainliest
Answer:
x = 71 and y = 19
Step-by-step explanation:
Given the 2 equations
x + y = 90 → (1)
x = 14 + 3y → (2)
Substitute x = 14 + 3y into (1)
14 + 3y + y = 90 ( subtract 14 from both sides )
4y = 76 ( divide both sides by 4 )
y = 19
Substitute y = 19 into (1) for value of x
x + 19 = 90 ( subtract 19 from both sides )
x = 71
Larger number x = 71 ; Smaller number y = 19
A textbook store sold a combined total of 240 chemistry and history textbooks in a week. The number of chemistry textbooks sold
was two times the number of history textbooks sold. How many textbooks of each type were sold?
Answer:
160 chemistry books and 80 history books
Step-by-step explanation:
C=chemistry books sold, H=history books sold
C=2H
C+H=240, 3H=240, H=80, C=160
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Which best describes the relationship between the lines with equations −6x+8y=−1 and −4x−3y=2?
Answer:
it is linear
Step-by-step explanation:
Both of these both lines are perpendicular to each other.
We have the two equations of straight lines :
− 6x + 8y = −1 and −4x − 3y = 2.
We have to identify the relation between these two lines.
What is the general equation of a straight line ?The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to the question, we have -
−6x + 8y = −1 ...(1)
−4x − 3y = 2 ...(2)
Rearranging the terms of the equations we get -
y = [tex]\frac{3}{4} x - \frac{1}{8}[/tex] ...(3)
and
y = [tex]\frac{-4}{3}x - \frac{2}{3}[/tex] ...(4)
When compared -
The slope of line −6x + 8y = −1 is m(1) = [tex]\frac{3}{4}[/tex].
The slope of line −4x − 3y = 2 is m(2) = [tex]\frac{-4}{3}[/tex].
We can see that -
m(1) x m(2) = - 1
The product of the slopes of two perpendicular lines is -1.
Hence, these both lines are perpendicular to each other.
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2) The cost of renting a boat for one or more
days is given by the function f(n)=12+20n,
where n = number of days and f(n) = total
cost in dollars.
What is the value of f(7-4)?=
Answer: 3f
Step-by-step explanation:
Find the value of x.
PLEASE HELP ASAP!!!!!!
Answer:
does it want the degree????
Reza was very sick and lost 15% of his original weight. He lost 27 pounds. What was his original weight?
Answer:
180
Step-by-step explanation:
Let x be the original weight
x* 15% = 27
.15x = 27
Divide each side by .15
.15x/.15 = 27/.15
x =180
Answer:
180 pounds
Step-by-step explanation:
W=27/15%
W=180 pounds
Please help me to solve these questions as soon as possible. Thank you
Answer:
499
9
April 12 2021
Step-by-step explanation:
1 and 500 are the smallest and largest
12 is the highest common factor
Every 12 days they have an appointment together
The population of a city has increased by 27% since it was last measured. If the current population is 38,100, what was the previous population?
=___
Answer:
the previous population was 62,000.
Step-by-step explanation:
The current population of a city = 83,700
The population of a city has increased by 35% since it was last measured.
We have to calculate the previous population before increasing 35%.
Let the previous population be p
p +(35% × p) = 83,700
p + 0.35p = 83,700
1.35p = 83,700
p =
p = 62,000
Therefore, the previous population was 62,000.
The population of a city has increased by 27% since it was last measured and the previous population was 62,000.
The current population of a city = 83,700
The population of a city has increased by 35% since it was last measured.
We have to calculate the previous population before increasing 35%.
What is the meaning of population?
A population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic.
Let the previous population be p
p +(35% × p) = 83,700
p + 0.35p = 83,700
p = 83,700
p = [tex]\frac{ 83,700}{1.35}[/tex]
p = 62,000
Therefore, the previous population was 62,000.
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What is 2x2x4 I’m asking from my big brothers account
Step-by-step explanation:
2×2×4=16
Hope it helps uß
Find the following measure for this figure.
3
The volume for this figure??
Answer:
24
Step-by-step explanation:
Volume of a cuboid = length*base*height or 4*2*3=24. The volume of this cuboid is 24.
Hii, please help me with this question I keep getting an option that isn't there.
A cylindrical piece of iron pipe is shown below. The wall of the pipe is 1.25 inch thick:
The figure shows a cylinder of height 16 inches and diameter 6 inches.
What is the approximate inside volume of the pipe?
a. 88 cubic inches
b. 49 cubic inches
c. 142 cubic inches
d. 154 cubic inches
The volume of this pipe considering the thickness of the pipe is 154 cubic inches.
How do you calculate the volume of the pipe?The general formula to calculate the volume of a cylindric object such as a pipe is:
V = πd^2h/4In this formula, d represents the diameter and h represents the height.
What is the diameter?The external diameter is 6 inches; however, the pipe is 1.25 inches thick, which implies the real internal diameter is 3.5.
6 inches - 2.5 (1.25 x 2) = 3.5Now, let's calculate the volume:
V = πd^2h/4V= π (12.25 x 16)/4V= π (196)/4V= 615.713 / 4 = 153.93 which can be rounded as 154 cubic inches.Learn more about cylindric in: https://brainly.com/question/14965384
Answer:
D. 154 cubic inches
Step-by-step explanation:
Guys please help me solve this problem, yes I will mark brainliest
Given that the vertex is at (50, 1000), the max profit is $1000 when 50 items are produced
Explain the
The fifth term of a non-linear sequence is 324. The term-to-term rule is ‘multiply by 3?
Work out the second term of the sequence.
Explain the method you used to solve this problem.
Answer:
a2=12 (the second term of the sequence is 12)
Step-by-step explanation:
a5=324
If the term to term rule is multiply by any number, we deal with geometrical sequence
The formula you should use is an= a1*r^(n-1) where n is the number of the term which we know. In our case we know
a5, so use 5 instead of n
Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)
a5=324
324= a1*3^4
324=a1*81
a1=4 (We find the first term of sequence, because having it you can easily search for every term )
Return to the formula an= a1*r^n-1
Now search for the second term using 2 instead of n in the formula
a2= a1*r^1
a2=a1*r, a1=4, r=3
a2=4*3=12
The surface area of a sphere is a function of the radius of the sphere: A = 41182.
Evaluate the function for a basketball with a radius of 11.5 cm.
The value of the function of the surface area of a sphere when the radius is 11.5 cm is approximately 1661.9 cm²
The process of arriving at the above value is as follows;
The known parameter
The function of the radius representing the surface area of a sphere is, f(r) = A = 4·π·r²
The radius of the basketball, r = 11.5 cm
Required;
To evaluate the function, f(r), for the basketball
Method;
The process of evaluating a function, is to find the value of the function at a given value of the input or independent variable of the function
The input variable is the variable that determines the output value of the function, it is the variable which is the function is about
In the question, the function given is dependent on the radius, r
To evaluate the value of the function, we substitute the value of r in the equation of the functionTherefore;
When r = 11.5 cm (the radius of the basketball), from the function, the surface area of the basketball, A = f(11.5) = 4 × π × (11.5 cm)² ≈ 1661.9 cm²
Therefore;
The evaluation of the function which is the value of the function, f(r) = A,
when the radius, r, is 11.5 cm, which is the surface area of the spherical
basketball, is A ≈ 1661.9 cm²
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If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3r^2?
Answer:
the graph curve will goes above f(x)=x^2.f(x)=3*x^2 curve will also give higher value same value of x .
Step-by-step explanation:
The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 14300. (a) Find a function that models the population t years after 2000 (t=0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t)
Answer:
P(t) = 14300e^0.07t
Step-by-step explanation:
Let :
Population as a function of years, t = P(t) ;
Growth rate, r = 7%
Estimated population on year 2000 = Initial population = 14300
The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.
P(t) = Initial population*e^rt
P(t) = 14300*e^(0.07t)
P(t) = 14300e^0.07t
Where, t = number of years after year 2000.
Please help me solve this quickly!
Answer:
33.80
Step-by-step explanation:
AB = BC = AD√2
AB = BC = 7√2
AD = DC
AC = 2AD
perimeter = AC + AB + BC
= 2AD + 2AB
= 2(7) + 2(7√2)
= 14 + 14√2
≈ 33.80
Answer:
33.8
Step-by-step explanation:
45-45-90 degree triangle rules states that the sides that are opposite the angles measure 45 degrees have the same value. That means that BD has the same value as AD, which is 7. Since triangle BDC is also a 45-45-90 degree triangle, DC is equal to BD, which is 7. We have the value of AC, which is 7+7=14. Now, we can use the Pythagorean theorem to figure out BC and AB. We know that [tex]DC^2+BD^2=BC^2[/tex]. We know that DC and BD is equal to 7, so we can simplify that to [tex]49+49=BC^2[/tex], and we can further simplify that to [tex]BC=\sqrt{98}[/tex]. This is also equal to [tex]7\sqrt{2}[/tex]. Since BC is also equal to AB because of 45-45-90 degree triangle rules, we have the perimeter of the triangle as
[tex]7\sqrt{2} + 7\sqrt{2}+14[/tex], which is equal to [tex]14\sqrt{2} + 14[/tex]. We can simplify 14 times the square root of 2 as 19.8 (rounded to 2 decimal places). We have the answer as 19.8 + 14, which is 33.8.
find the interior angle sum for the following polygon.
We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.
Here, number of sides (n) = 12
So, interior angle sum = (n − 2) × 180°
=> interior angle sum = (12 - 2) × 180°
=> interior angle sum = 10 × 180°
=> interior angle sum = 1800°
So, the interior angle sum of this polygon is 1800°.
Find the standarddeviation of 125, 136, 150, 119, 150, and 143.
Answer:
S.D=46.04
Step-by-step explanation:
steps are in the picture.
If you have question about it you can ask.Thanks
A student states that Figure JKLM is congruent to Figure PQRS. Determine if the student is correct or has made an error. ;D
Answer:
Student has made an error
Step-by-step explanation:
If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.
But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.
Hence explained !
18-3×5+32÷4
USE BODMAS RULE
the answer should come 11
Answer:
B-bracket
O-of
D-division
M-multiplication
A-addition
S-subtraction
Step-by-step explanation:
18-3×5+32÷4
18-3×5+8 (by dividing 32 by 4 = 8)
18-15+8(by multiplying 3×5=15)
18-7( by -15 +8= 7 )
11
hence proved
11 is the answer by BODMAS rule .
hope this helps you
mrk me braniliest
Help me pls!
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure
Answer:
Smaller figure: 1/3
Larger figure: 3
Answer:
1:3
Step-by-step explanation:
divided the sides
8/24 = 1/3 = 1:3
15. PLEASE HELP ME
A sports recreation company plans to manufacture a beach ball with a surface area of 7238 in.2 Find the radius of the beach ball. Use the formula A= 4\pir2, where A is the surface area and r is the radius of the sphere.
A. 48 in.
B. 24 in.
C. 75 in.
D. 576 in.
We know
[tex]\boxed{\sf Surface\:area=4\pi r^2}[/tex]
[tex]\\ \sf\longmapsto 4\pi r^2=7238[/tex]
[tex]\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238[/tex]
[tex]\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}[/tex]
[tex]\\ \sf\longmapsto r^2=\dfrac{5066}{88}[/tex]
[tex]\\ \sf\longmapsto r^2=575.75[/tex]
[tex]\\ \sf\longmapsto r^2\approx576[/tex]
[tex]\\ \sf\longmapsto r\approx\sqrt{576}[/tex]
[tex]\\ \sf\longmapsto r\approx24in[/tex]
Option b is coreectAnswer:
B. 24 in.
Step-by-step explanation:
The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:
SA = 4 π r^2
where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2
Rewriting the formula in terms of r:
r^2 = SA / 4 π
r = sqrt (SA / 4 π)
Solving for r:
r = sqrt (7238 in^2 / 4 π)
r = 24 in
Answer:
24 inches
x.(9x-1).(x+2)-x(3x-1).(3x+1)
Answer:
=17x²-x
Step-by-step explanation:
=x.(9x²+18x-x-2)-x.(9x²-1)
=x.(9x²+17x-2-9x²+1)
=x.(17x-1)
=17x²-x
can a triangle have two right angles ?explain
Answer:
a triangle is a closed polygon that consists of three sides and three angles,and it's one of the basic shape that we basic shape that we knowing geometry.
Find the solution set of the inequality. -25 > -5(x + 2.5
Answer:
-25 > -5(x+2.5)
-25 > -5x -12.5
x > 5/2
please click thanks and mark brainliest if you like :)
Answer:
x < 2.5
Step-by-step explanation:
-25>-5(x-12.5)
-25 > -5x -12.5
add 12.5 to both sides
-25+12.5 > -5x -12.5+12.5
-12.5> -5x
divide both sides by -5
(-12.5/-5)> -5x/-5
x>2.5
since we divided by a negative,the inequality sign will flip over
x<2.5
I just need help on this and fast
hope this helps you understand the concept
x>0, y>0, 2x+3y=8, smallest value of xy? pls help me
Answer:
where there is x in the equation we put 0
For y
=2(0)+3y=8
=0+3y=8 Group likely terms
=3y=8-0
=3y=8 Divide both sides by 3
=3y/3=8/3
Therefore y=2.6
For x
=2x+3y=8
=2x+3(0)=8
=2x+0=8 Group likely terms
=2x=8-0
=2x=8 Divide both sides by 2
=2x/2=8/2
Therefore x=4
The smallest numbers for x and y is 4 and 2.6 respectively
