Answer:
300
Step-by-step explanation:
Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
13 ft
4 ft
9 ft
a. 26.47 ft
b. 26.90 ft
c. 30.94 ft
d. 24.45 ft
Given:
Consider the below figure attached with this question.
To find:
The per perimeter of the isosceles trapezoid. Round all figures to the nearest hundredths place.
Solution:
Consider the isosceles trapezoid is ABCD.
Draw two perpendicular from C and D to AB as shown in second figure.
Now, CDEF is a rectangle,
[tex]EF=CD=9\text{ ft}[/tex]
[tex]AB-EF=13-9[/tex]
[tex]AB-EF=4\text{ ft}[/tex]
It is an isosceles trapezoid, so [tex]\Delta ADE\cong \Delta BCF[/tex].
[tex]AE=BF=\dfrac{4}{2}=2\text{ ft}[/tex]
Now,
[tex]AE^2+DE^2=AD^2[/tex] [Pythagoras theorem]
[tex]2^2+4^2=AD^2[/tex]
[tex]4+16=AD^2[/tex]
[tex]\sqrt{20}=AD[/tex]
[tex]AD=BC\approx 30.94[/tex] [Isosceles trapezoid]
Find the perimeter of the figure.
[tex]Perimeter=AB+BC+CD+AD[/tex]
[tex]Perimeter=13+4.47+9+4.47[/tex]
[tex]Perimeter=30.94\text{ ft}[/tex]
Therefore, the correct option is c.
Shorter Version: C lol
44/13 divided by (-9)
Step-by-step explanation:
44/13 ÷ -9
44/13 *1/-9
44/-117
The equivalent value of the expression A = 44/13 divided by (-9) = -0.3761
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 44/13 divided by ( -9 (
First, we can simplify 44/13 to a decimal:
44/13 = 3.3846 (rounded to four decimal places)
Then we can divide 3.3846 by -9:
3.3846 / (-9) = -0.3761 (rounded to four decimal places)
Therefore, 44/13 divided by (-9) is approximately equal to -0.3761
Hence , the equation is A = -0.3761
To learn more about equations click :
https://brainly.com/question/19297665
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Is this correct ? Please help thanks so much
Answer:
yes
Step-by-step explanation:
using elimination you can see every other answer is definitely wrong leaving you with just one which is 2UX
9514 1404 393
Answer:
2UX (your answer is correct)
Step-by-step explanation:
One way to define a parabola is as the set of points equidistant from the focus and directrix.
That means the distance from W to the directrix must be the same as the distance WU. Since the parabola is symmetrical and WU is parallel to the directrix, we have WU = UT = UX. So the double length WT is double the distance UX:
WT = 2UX
Please help me at least one of them number it!
Answer:
1) y+6 or 6+y 2) 12 x n = x 3) 24 + b = x 4) x - 18 5) n - 5 6)a / 3 or 3 / a
Step-by-step explanation:
Help please!
Identify a set of parallel and a set of perpendicular lines in this image.
Answer:
Option 1.
(I don't really have any explanation to add on)
Answer:
the 3th option
Step-by-step explanation:
hope it help you
Find the sum of 2 4/5 + 1 3/9
Answer:
4 2/15
Step-by-step explanation:
4 x 9 = 36 3 x 5 = 15 5 x 9 = 45
36/45 + 15/45 = 51/45 = 1 6/45
1 + 2 + 1 = 4 + 6/45 = 4 6/45= 4 2/15.
What is a pirate's favorite part of statistics? Please i need this for school
Answer: R-squared (pronounced ARRRrrr-squared)
LOL, hope it helped.
Answer: R
That's my answer
The common difference of the arithmetic sequence
Answer:
its 1/3
Step-by-step explanation:
please mark it as brainliest!!<3
Answer:
We conclude that the common difference of the Arithmetic sequence is: 1/3
Step-by-step explanation:
Given the Arithmetic sequence
1/2, 5/6, 7/6, 3/2, 11/6
We know that an Arithmetic sequence has a constant common difference.
Let us compute the common difference 'd' of all the adjacent terms
[tex]\frac{5}{6}-\frac{1}{2}=\frac{1}{3},\:\quad \frac{7}{6}-\frac{5}{6}=\frac{1}{3},\:\quad \frac{3}{2}-\frac{7}{6}=\frac{1}{3},\:\quad \frac{11}{6}-\frac{3}{2}=\frac{1}{3}[/tex]
The difference between all the adjacent terms is the same and equal
Therefore,
[tex]d=\frac{1}{3}[/tex]
Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
Please help me with my homework!!
Answer:
2/3
Step-by-step explanation:
What is the probability of rolling a three and flipping tails? Brainliest for correct answer.
Answer:
1/12
Step-by-step explanation:
dice have 6 sides and the coin has 2 sides, so u multiply 6x2 to get your denominator 12. you are trying to get 1 side of the dice, and 1 side of the coin so the numerator is 1. when put together you get the fraction 1/12
A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.
Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?
Answer:
a. 0.99995 = 99.995% probability that one of the two parachutes deploys
b.0.04995 = 4.995% probability that the backup parachutes deploys
Step-by-step explanation:
a. What is the probability that one of the two parachutes deploys?
Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]
0.99995 = 99.995% probability that one of the two parachutes deploys
b. What is the probability that the backup parachutes deploys?
The first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.05*0.999 = 0.04995[/tex]
0.04995 = 4.995% probability that the backup parachutes deploys
FREE BRAINLIEST. LOOK AT PHOTO AND ANSWER LIKE STEP1 , STEP 2.
Answer:
Step 1 16+24-18
Step 2) 22
Step-by-step explanation:
Dean purchased a box of cereal Which of these measurements BEST describes the volume of the box?
1.)154 cubic feet
2.)154 cubic inches
3.)154 cubic meters
4.)154 cubic millimeters
Answer:
2
Step-by-step explanation:
You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.
what is equivalent to the expression 2/5 divided by 4
If William wants to travel 450 miles in 12 hours, what constant speed (miles per hour) must he travel?
Answer: 37.5 rounded it would be 38
Step-by-step explanation:
Please explain your work. The answer is not 6785.8, 1.5, or 6782.4.
Answer:
[tex]2160\pi \:\mathrm{ft^3} \approx 6786\:\mathrm{ft^3}[/tex]
Step-by-step explanation:
The volume of a cylinder is given as:
[tex]r^2\pi\cdot h[/tex].
Thus, the difference of the cylinders' volumes are:
[tex]|18^2\cdot 20\cdot \pi - 12^2\cdot 30 \cdot \pi|\approx \fbox{$6785.84\:\mathrm{ft^3}$}[/tex].
Since you've said [tex]6785.8[/tex] is not being accepted as an answer, please check all instructions to see if there are directions asking you to specifically round your answer. If not, you can ask your teacher/instructor what they're looking for.
Estimate with percents
Estimate each percent
50% of 39
Answer:
Step-by-step explanation:
50 percent of 39=
39/2=19.50
GIVE ME THE CORRECT ANSWER I THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System of equations
Solve by substitution:
y = x + 7
2x + y = -5
Group of answer choices
(4 , -3)
(4 , 3)
(-4 , 3)
(-4, -3)
Answer:
C: (-4,3)
Step-by-step explanation:
2x+x+7=-5
3x+7=-5
3x=-12
x=-4
y=-4+7
y=3
(-4,3)
Which expressions are equivalent to the expression 30x^2-5x-10
Given that g(x)=x² find each of the following.
g(2)=
Answer:
g(2) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x²
g(2) is x = 2
Step 2: Evaluate
Substitute in x: g(2) = 2²Exponents: g(2) = 4
Sydney invests money in an account paying a simple interest of 5.2% per year. If no
money will be added or removed from the investment, what should she multiply her
current balance by to find her total balance in a year in one step?
Answer:
She should multiply her current balance by 1.052.
Step-by-step explanation:
Her investment is an account with a simple interest of 5.2% per year.
So in one year, she will have 100% + 5.2% = 105.2% of her initial amount. To find the multiplier, we divide by 100%. So
105.2%/100% = 1.052
She should multiply her current balance by 1.052.
i take out the belt for u my I0ved 1.
no h0.mõ if u a man. . .
Answer:
Truw
Step-by-step explanation:
It is exceptional
Which of the following is a simple event?j
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Answer:
D. tossing a coin 3 times
Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?
I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
a. I only
b. II only
c. III only
d. I and II
e. II and III
Answer: e. II and III
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
Step-by-step explanation:
The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.
Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.
However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean
you roll a 6 sided die, what is the probability or rolling 1 or a number greater then 4
Answer:
1/2
Step-by-step explanation:
the 2 numbers greater than 4 on a six sided die are 5 and 6, and with the 1, that is 3 numbers, or 3 sides of the die.
3/6 simplifies to 1/2
Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.
Answer:
they are perpindicular because they intersect at a right angle
Step-by-step explanation:
Answer:
The lines y=−4 and x=−1 are perpendicular.
Step-by-step explanation:
Given the lines
y=−4
x=−1
The equation y = -4 indicates that the line is horizontal because the value of y remains constant no matter what the value of x is. We also know that the slope of a horizontal line is zero.
In other words, there is no change in y-value i.e. (y₂-y₁) = 0.
Thus, the slope of the horizontal line y = -4 is zero.
Therefore, the slope of y = -4 is: m₁ = 0
The equation x = -1 indicates that the line is vertical because the value of x remains constant no matter what the value of y is. We also know that the slope of a vertical line is undefined or ∞.
In other words, there is no change in x-value i.e. (x₂-x₁) = 0.
Thus, the slope of the vertical line x = -1 is zero.
Therefore, the slope of x = -1 is: m₂ = ∞.
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
As the slope of line y = -4 is: m₁ = 0
Thus, the slope of the the new perpendicular line = m₂ = – 1/m = -1/0 = ∞
Therefore, the lines y=−4 and x=−1 are perpendicular.
ALSO:
From the attached graph, it is clear that:
The red line is representing y = -4The blue line is representing x = -1It is clear that both lines are perpendicular as they are meeting at a right angle.
Therefore, the lines y=−4 and x=−1 are perpendicular.
I can’t figure out the surface area. Someone please help !! :)
Step-by-step explanation:
diameter is 8•5
radius is d/2
8•5/2
=4•25
surface area = 4πr^2
4×22/7×4•25×4•25
=1589•5/7
=227•1
Volume= 4/3πr^3
4/3×22/7×4•25×4•25×4•25
4/3×22/7×76•76
=321•7
Hope it helps
plz mark as brainliest
Wei writes down 5 numbers.l She starts with 12. She uses a pattern to write the other numbers
12,18,24,30,36
A.Add 6
B.Add 8
C.Add 4
the product of two number is 20 and the sum of square is 41 find the number
Let the two number is a and b
so,
product =ab=20
sum of square=[tex]\bold{a^2+b^2=41 }[/tex]
Then,
[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]
[tex]\bold{ (a+b)^2=41+2×40 }[/tex]
[tex]\bold{ (a+b)^2=81 }[/tex]
[tex]\bold{a+b=\sqrt{81} }[/tex]
[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)
Now,
[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]
[tex]\bold{ (a-b)^2=41-4×20 }[/tex]
[tex]\bold{(a-b)^2=41-40 }[/tex]
[tex]\bold{a-b=\sqrt{1} }[/tex]
[tex]\bold{a-b=1 }[/tex]••••••••(equation II)
Now,combine the equation I and equation II
we,get
[tex]\bold{a+b+a-b=9+1 }[/tex]
[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]
[tex]\bold{ 2a=10 }[/tex]
[tex]\bold{a=\dfrac{10}{2} }[/tex]
[tex]\blue{\boxed{ a=5 }}[/tex]
Then,
put the value of a in equation II.
we get that,
[tex]\bold{5-b=1 }[/tex]
[tex]\bold{b+1=5 }[/tex]
[tex]\bold{b=5-1 }[/tex]
[tex]\bold{\boxed{\blue{b=4}} }[/tex]
so,
The two number is 5 and 4.