Answer:
the perimeter of the right triangle is 45
Answer: There are many possibilities, depending on the base and height dimensions. Here are a few:
if 3 × 10 the perimeter will be = 3 + 10 + 10.44 = 23.44
if 2 × 15 the perimeter will be = 2 + 15 + 15.13 = 32.13
if 1 × 30, the perimeter will be = 1 + 30 + 30.02 = 61.02
Step-by-step explanation: For the area of the triangle
A = bh/2. The Perimeter is the sum of the three sides
No base or height is given in this question, so it could be any combination of factors that result in A = 15 Even fractional dimensions! (But we'll keep it simple for now. You could probably set up an equation and graph it to see all the combinations.)
To get the third side, the hypotenuse, use the Pythagorean Theorem.
For 3 × 10, [tex]\sqrt{109}[/tex] is the third side
For 2 × 15, [tex]\sqrt{229}[/tex] is the third side
For 1 × 30 [tex]\sqrt{901}[/tex] is the third side
Six miles of fence surround a rectangular field half a mile wide. How long is that field?
Answer:
Let's call the length x. Since perimeter = 2 * (length + width) we can write:
6 = 2(x + 1/2)
3 = x + 1/2
x = 2 and 1/2
The answer is 2 and 1/2 miles long.
Answer:
2 miles
Step-by-step explanation:
Width, W = 1 mi.
Length = L
Perimeter, P = 6 mi.
2L + 2W = P:
2L + 2(1) = 6
2L + 2 = 6
2L = 6 - 2
2L = 4
L = 4 / 2
L = 2
Answer: 2 miles
If this is wrong then sorry!
Hope it help!
Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)
Answer:
Option B.
Step-by-step explanation:
The given relation is
[tex]x=2y^2+6[/tex]
At y=-2,
[tex]x=2(-2)^2+6[/tex]
[tex]x=2(4)+6[/tex]
[tex]x=8+6[/tex]
[tex]x=14[/tex]
Similarly,
At y=-1,
[tex]x=2(-1)^2+6=8[/tex]
At y=0,
[tex]x=2(0)^2+6=6[/tex]
At y=1,
[tex]x=2(1)^2+6=8[/tex]
At y=2,
[tex]x=2(2)^2+6=14[/tex]
So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).
Therefore, the correct option is B.
the volume of a sphere is 4000 pi m^3. what is the surface area of the sphere to the nearest square meter? A. 2,614m^2 B. 3,836m^2 C. 1,307m^2 D. 794m^2
Answer:
A. 2614 m^2 to the nearest square meter.
Step-by-step explanation:
Volume of the sphere
= 4/3 pi r^3 = 4000 pi
4/3 r^3 = 4000
r^3 = 4000 * 3/4 = 3000
r = ∛(3000)
The surface area
=4 pi r^2
= 4 * pi * (∛(3000)^2
= 4 * pi * 208.008
= 2613.91 m^2.
Please help i will mark brainliest!
X+ y = 9
X- y = 7
O A. (16, -7)
O B. (8, 1)
O C. (12,-3)
D. (7,0)
Answer:
B. (8,1)
Step-by-step explanation:
x+y=9
x-y=7
x=7+y
Therefore in the equation x+y=9 , x=7+y
(7+y)+y=9
7+2y=9
2y=9-7
2y=2
y=2/2=1
therefore x=7+y
=7+1=8
The solution of the system of equation are,
⇒ (8, 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
System of equations are,
x + y = 9 .. (i)
x - y = 7 .. (ii)
Now, We can simplify as;
From (i);
x = 9 - y
Put in (ii);
x - y = 7
9 - y - y = 7
9 - 2y = 7
9 - 7 = 2y
2y = 2
y = 1
From (i);
x = 9 - y
x = 9 - 1
x = 8
Thus, The solution of the system of equation are,
⇒ (8, 1)
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A submarine is searching for underwater features with help from an underwater robotic vehicle. At one time the submarine is 55m below the surface, and the underwater robotic vehicle is 227m below the surface. What is the distance between the underwater robotic vehicle and the submarine?
Answer: 172
If something is below underwater then it is a negative. They are under water they are both negatives. To find the distance you subract both number and get their absolute value.
-227-55= -172
Absolute value=172
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers
if g(x) = 0, then
x = 0 -- > g(0) = 0^2 + 2(0) = 0 + 0
AND x = -2 --> g(-2) = -2^2 + 2(-2) = 4 + (-4) = 0.
I don't know why f(x) was given at all, but when x = 0, f(0) = -5, and when x = -2, f(-2) = -8.
Angles F and H are congruent.
Angles c and e are congruent.
Angles a and g are congruent.
Angles f and c are congruent.
Answer:
Last Choice: Angles F and C are congruent
Step-by-step explanation:
Angles F and C are congruent because they are vertical angles.
All other pairs of angles in the choices are not necessarily congruent.
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. i.Radhika answered all the questions and scored 30 marks and get 10 correct answers. ii.Jay also answered all the questions and scored (-12) marks though he got 4 correct answers. How many incorrect answers had they attempted?
Step-by-step explanation:
number of correct answer is x and
number of wrong answer is y
according to question
In the case of Radhika
5x-2y=30
x=10
y=10
In the case of Jay
5x-2y=-12
x=4
y=16
incorrect answer by Radhika is 10 and by jay is 16
a train can either be early on time or late. the probability that the train is early is 0.2 the probability that the train is on yome is 0.5 work out the probability that the train is late
Answer:
0.3 Train is late
Step-by-step explanation:
20% - Train is early
50% - Train is on time
add
0.2 + 0.5 = 0.7
subtract from 1
1 - 0.7 = 0.3
Please if you can, help me it's needed to. thank you. :)
Answer:
Hey there!
1 liter is equal to 1000 milliliters.
0.25 liters is equal to 250 milliliters.
One mega meter is equal to 1000000 meters.
1.2 Mm= 1200000 meters.
Hope this helps :)
Step-by-step explanation:
1l = 1000ml
Convert 0.25 litres to milliliters
0.25 x 1000 = 250 ml
1 megametre = 1000000
1.2 x 1000000= 1200000m
A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centimeters (cm3).
Answer:
Volume = 65.55 cm³
Step-by-step explanation:
Given
Volume of a ball = 4 in³
Required
Convert volume from in³ to cm³
Recall that
Volume of the ball = 4 in³
Simplify the expression above
Volume = 4 * 1 in³ ------ Equation 1
From laws of indices:
1in³ = 1in * 1in * 1n
Substitute the above law in Equation 1
Volume = 4 * 1 in * 1 in * 1 in --- Equation 2
From the question,
1 in = 2.54cm
Substitute 2.54cm for 1 in in equation 2
Volume = 4 * 1 in * 1 in * 1 in becomes
Volume = 4 * 2.54 cm * 2.54 cm * 2.54 cm
Volume = 65.548256 cm³
Volume = 65.55 cm³ (Approximated)
Hence, the volume of the ball in cm³ is approximately 65.55 cm³
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
Find the similarity ratio of a cube with a surface area of 36 m² to a cube with a
surface area of 81 m2
Answer:
4.9
Step-by-step explanation:
In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
The ratio of a cube with a surface area of 36 m² to a cube with a
surface area of 81 m².
The face assumed to be square, hence the area is equal to the square of the length.
36 / 81 = 6 / 9
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Simplify the expression so there is only one positive power for each base.-5 -5^7÷-5^2 A.1/5^9 B.-5^9 C.-5^5 D.1/5^5
Answer:
-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer
Step-by-step explanation:
plz give me brianlist
Please Help me!!!
The displacement of a particle d (in km) as a function of time t (in hours) is given by: () = 2^3 + 5^2 − 3 Find the displacement, velocity and acceleration at t = 4 hours. Indicate the correct units for each of these quantities.
Step-by-step explanation:
The displacement of a particle d (in km) as a function of time t (in hours) is given by :
[tex]d=2t^3+5t^2-3[/tex]
Displacement at t = 4 hours,
[tex]d(4)=2(4)^3+5(4)^2-3=205\ km[/tex]
Velocity of particle is given by :
[tex]v=\dfrac{dd}{dt}\\\\v=\dfrac{d(2t^3+5t^2-3)}{dt}\\\\v=6t^2+10t[/tex]
Velocity at t = 4 hours,
[tex]v=6(4)^2+10(4)=136\ km/h[/tex]
Acceleration of the particle is given by :
[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{d(6t^2+10t)}{dt}\\\\a=12t+10[/tex]
At t = 4 hours,
[tex]a=12(4)+10=58\ km/h^2[/tex]
Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.
A local newspaper was wondering if its average reader lived more than 25 miles from its headquarters. The newspaper surveyed its readers and received 10 responses. Using the results from the current survey and several previous surveys, the newspaper has decided to assume that the population standard deviation for the distance its readers live from its headquarters is 13.2 miles. The local newspaper conducts a one-mean hypothesis at the 5% significance level, to test if the average distance a reader lives from the newspaper's headquarters is greater than 25 miles. (a) H0:μ=25; Ha:μ>25, which is a right-tailed test. (b) z0=0.22, p-value is = 0.41. (c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply. We reject H0. We fail to reject H0. At the 5% significance level, the data provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles. At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Answer:
We fail to reject H₀.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Step-by-step explanation:
The hypothesis for the statistical test is defined as follows:
H₀ : μ =25 vs. Hₐ : μ > 25
The test statistic value is, z₀ = 0.22.
The p-value of the test is, p-value = 0.41.
The significance level is, α = 0.05.
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.
A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
Here, p-value = 0.41 > α = 0.05.
The null hypothesis was failed to be rejected at 5% level of significance.
Conclusion:
There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
help me i need help with this
Answer:
0.421
Step-by-step explanation:
add all numbers: 59 + 68 + 12 + 1 = 140
blue jays: 59
p(blue jay) = 59/140 = 0.421
Answer:
0.421
Step-by-step explanation:
59 + 68 + 12 + 1 = 140
59/140 = 0.421
15 points, 5 stars and thanks will be your reward if you answer this question correctly: a(7x+2)=bx+8 a and b are both integers. What is the value of b?
Answer:
b = 28
Step-by-step explanation:
Given
a(7x+2)=bx+8
=> 7ax + 2a = bx + 8
in both the equation there is a term containing x and a term not containing x.
since value of both equation is equal. hence
term containing x on both side will be equal to each and
term independent of x will be equal in both the equation
thus
7ax = bx
2a = 8
=> a = 8/2 = 4
now, plugging a = 4 in 7ax = bx
7*4x = bx
=> b = 7*4x/x = 28.
Thus, value of b is 28.
The marketing club at school is opening a student store. They randomly survey 50 students about how much money
they spend on lunch each day. What is the expected value for a student to spend on lunch each day?
Student Lunch Survey
Number of Dollars Spent on
Students
Lunch Each Day
2
$10
1
$8
12
$6
23
$5
8
$4
4
$3
$2.59
$5.11
$5.18
$9.07
Answer:
6.75
Step-by-step explanation:
2+10+1+8+12+6+23+5+8+4+4+3+2.59+5.11+5.18+9.07 = 107.95
now we count how much numbers you added up which equals 16 and divide it with 107.95
107.95/16 = 6.746875
now you cant pay half a penny or such and such
so your round it off at 6.746 to 6.75
and there you have it
Answer:
its $5.18 on edge
Step-by-step explanation:
yw
Please solve yes please
Answer:
h(t) = h₀ + v₀·t + 1/2 g t² with
h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²
4.9 seconds
Step-by-step explanation:
16.087 (t - 2.48648)^2 - 94.5842 = 0
solving as a quadratic equation yields t ≈ 4.9 seconds
What is the volume of the figure below? 2 stacked rectangular pyramids. The pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet. 30 feet cubed 60 feet cubed 90 feet cubed 120 feet cubed
Answer:
60 feet cubed
Step-by-step explanation:
We are told type of pyramid is a rectangular pyramid.
The volume of a rectangular pyramid = 1/3 × Length × Width × Height
We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.
Volume for one of the pyramid =
1/3 × 4 × 5 × 4.5
= 30 cubic feet
Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.
The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.
Answer:
60 ft
Step-by-step explanation:
Help fill in the blanks no
Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
16 2/3 percent of what number is 72
What’s the name of that shape?
Answer:
trapezoid (U.S.A.)
trapezium (UK)
Step-by-step explanation:
On the right side, two sides are perpendicular to the same side. That makes those two sides parallel. A quadrilateral with 2 parallel sides is a trapezoid (in the U.S.) or trapezium (in the UK.)
Answer:
It’s a trapezoid
Step-by-step explanation:
A trapezoid can have a flat side and can look normal.
Find the volume. Round your answer to the nearest tenth.
Answer:
94.6m³
Step-by-step explanation:
The diagram shown in this question is a trapezoidal prism.
The volume of a trapezoidal prism is calculated as:
L × H × (P + Q/2)
Where L = Length = 4m
H = Height = 4.3m
P = Base width = 8m
Q = Top width = 3m
The volume of the trapezoidal prism =
4 × 4.3 ×(8+3/2)
=4 × 4.3 ×(11/2)
= 94.6m³
Therefore, the volume of the trapezoidal prism to the nearest tenth = 94.6m³
Analyze the data sets and then select which statements are true plz help pic attached WILL GIVE BRAINLIEST
Answer:
he correct statements are 5th and 6th.
Step-by-step explanation:
The data set from the dot plot is as follows:
A B
25 25
25 25
25 25
26 26
26 26
26 26
27 26
28 27
28 27
29 27
30 27
31 28
31 28
32 29
33 29
33 30
34 31
35 31
35 32
35 34
Use Excel to compute the value of Mean, Median, and Standard deviation for both the data sets.
Set A:
[tex]\text{Mean}_{A} = 29.7\\\text{Median}_{A} = 29.5\\\text{SD}_{A} = 3.658[/tex]
Set B:
[tex]\text{Mean}_{B} = 27.95\\\text{Median}_{B} = 27\\\text{SD}_{B} = 2.544[/tex]
For a symmetric data, Mean = Median.
For left skewed data, Mean < Median
For both the sets of data Mean > Median.
The standard deviation of set A is more than that of set B.
The mean of set A is 29.7 and the median is 29.5. Both values are quite close to each other.
Thus, the correct statements are 5th and 6th.
A swimming pool measures 35 feet by 50 feet long. What is the ratio of the length to the length to the perimeter in simplest form?
Answer:
7:10:34
Step-by-step explanation:
1. Ratio outline:
Length 1:Length 2:Perimeter
2. Length 1 = 35 feet
3. Length 2 = 50 feet
4. Perimeter = Length of all sides
- Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170
5. Substitute the values into the ratio outline:
35:50:170
6. Convert into simplest form: Divide by greatest common factor (5)
7:10:34
please help me with this if youre feeling generous today! thank you!
Answer:
The answer is number 2 because a positive number is always bigger than a negitive number
Solve for x: 2000=5000e^4x
Answer:
x = -0.23
Step-by-step explanation:
2000=5000e^4x
=> e^4x = 2000/5000 = 2/5
taking the natural logarithn on LHS and RHS
ln e^4x = ln2/5
=> 4x lne = ln2/5
we know ln e = 1, also ln a/b = lna - ln b
ln 2 = 0.693, ln 5 = 1.609
4x = ln2 - ln5
4x = 0.693 - 1.609
x = -0.916/4 = -0.229
Thus, x = -0.23 rounded to two decimal place.