Answer:
PΔJKL=66
Step-by-step explanation:
so we are given the line segments JK, KL, and LJ which are tangent to k(O), and also that JA=9, AL=10, and CK=14
JL=JA+AL (parts whole postulate)
JL=9+10=19 (substitution, algebra)
JA=JB=9 (tangent segments from the same point are congruent)
CK=KB=14 (tangent segments from the same point are congruent)
JK=JB+KB (parts whole postulate)
JK=9+14=23 (substitution, algebra)
LA=LC=10 (tangent segments from the same point are congruent)
LK=LC+CK (parts whole postulate)
LK=10+14=24 (substitution, algebra)
Perimeter of ΔJKL=LK+KL+LJ (perimeter formula for triangles)
Perimeter of ΔJKL=23+24+19=66 (substitution, algebra)
Which of the following statements is true about the number [tex]\frac{30}{2}[/tex]?
- It is contained in the set of rational numbers, but it is not contained in the set of natural numbers, whole numbers, integers, or irrational numbers.
- It is contained in the set of irrational numbers and rational numbers, but it is not contained in the set of natural numbers or whole numbers.
- It is contained in the set of natural numbers, whole numbers, integers , and rational numbers, but it is not contained in the set of irrational numbers.
- It is contained in the set of whole numbers and rational numbers, but it is not contained in the set of irrational numbers or integers.
9514 1404 393
Answer:
(c) - It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.
Step-by-step explanation:
The improper fraction (a rational number) reduces to 15, a whole number, natural number, and integer. A ratio of integers is never an irrational number.
The best description is the third one:
- It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.
Which number does the blue dot represent on the number line?
30 + q = 43 show work PLEASEE HELP
Answer:
13
Step-by-step explanation:
43 - 30 = 13
q = 13
Answer:
q=13
Step-by-step explanation:
first, subtract 30 from both sides of the equation
30-30+q=43-30
you should be left with q=13
that's your answer
Draw a histogram for the intervals 16-18, 19-21, 22-24, and 25-27 using the following data: 26, 16, 22, 27, 20, 24, 21, 27, 22, 21, 26, 27, 23, 20, 16, 17, 27, 19, 17, 17
Answer:
Step-by-step explanation:
Class Interval Variate Frequency
16-18 16 1
19-21 0 0
22-24 0 0
25-27 26,27 2
Answer:
A
Step-by-step explanation:
right on edge 2021
Ex: You invested $1000 in a savings account. The account pays 5% annual interest.
How much will be in the account after 6 years?||
1
Answer:
I KNOW THE ANSWER ITS 5000
Step-by-step explanation:
SUB to sir sir bmgo
find the volume of the cone. make sure to round
Answer: 333.29
V= ⅓Bh is how you would do it
1) A line passes through the points (7,4) and (-5, - 2). Which of the
following equations BEST defines this line?
Answer:
.5x = y
Step-by-step explanation:
You can find mx by comparing two points on a graph
Someone please help
Answer:
m= -1
Step-by-step explanation:
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Answer:
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
Step-by-step explanation:
Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
This means that the null hypothesis is:
[tex]H_0: p = 0.11[/tex]
And the alternate hypothesis is:
[tex]H_a: p > 0.11[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.11 is tested at the null hypothesis:
This means that [tex]\mu = 0.11, \sigma = \sqrt{0.11*0.89}[/tex]
Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.
This means that:
[tex]n = 1550, X = \frac{214}{1550} = 0.1381[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}[/tex]
[tex]z = 3.54[/tex]
Pvalue of the test and decision:
This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.
[tex]z = 3.54[/tex] has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
Use the distributive property to write an expression that is equivalent to 9(c+5
Answer:
9c+45
Step-by-step explanation:
What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m
Jayden is filling his 290 gallon pool with a garden hose. The garden hose produces 29 gallons of water per hour. How long will it take for Jayden to fill up his pool?
Answer:
10 hours
Step-by-step explanation:
290 divided by 29 = 10
check to see if its correct 29 multiple by 10 is 290
Ajar contains 5 red marbles, 3 green marbles, and 4 blue marbles. A marble is selected without looking. What is the probability that the selected marble is red?
Step-by-step explanation:
most likley
Find the measure of angle B.
Step-by-step explanation:
C = 180 - 112 = 68°
A = 180 - 68 - 51 = 61°
B = 180 - 61 = 119°
Another way :
We know that B = C + 51 ==> B = 68 + 51 = 119°
PLZ needed now plz URGENT!
Answer:
Realtionship B
Step-by-step explanation:
Relationship A doesn't pass the line test
Find the probability that a randomly selected point within the circle falls into the white area round to the nearest tenth of a percent
Answer:68%
Step-by-step explanation:
find area of the circle=50.2
Find the are of the triangle=16
Then find ratio=16/50.2
Then reduce=8/25.1=32%
Then subtract= 100-32=68%
interest earned on both the principal and any previously earned interest?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answer:
A. Compound Interest
Step-by-step explanation:
Compound interest is interest paid on both the principal and previously earned interest.
Compound interest earned on both the principal and any previously earned interest. Therefore, the correct answer is option A.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex]
Therefore, option A is the correct answer.
To learn more about the rate of interest visit:
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henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry
Answer:
4 inches taller
Step-by-step explanation:
aaron is 74 inches
A vehicle purchased for $29,800 depreciates at a constant rate of 4%. Determine the approximate value of
the vehicle 10 years after purchase. Round to the nearest whole dollar.
Answer:
$44104
Step-by-step explanation:
Given data
Cost = $29800
Rate= 4%
Time= 10years
Applying the formula below, we can find the cost after 10 years as
A=P(1+r)^t
A= 29800(1+0.04)^10
A=29800(1.04)^10
A=29800*1.480
A=$44104
Hence the new cost is $44104
Which of the following is the logical conclusion to the conditional statements
below?
a = b
b=0
А. b=a
B. -as
C.boa
D. a =
Answer:
b
Step-by-step explanation:
3186 people contributed to charity. this was an increase of 486 people over last year. Express the increase as a percentage.
Answer:
18%
Step-by-step explanation:
Given data
People that contributed the last year= 3186-486
=2700people
Hence the percentage change
=486/2700*100
=0.18*100
=18%
Hence the change in the number of people that contributed is 18%
Need HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The similarity statement tells you ...
TR/TP = XZ/XP
TR = x = TP(XZ/XP) = 12(18/36)
x = 6
When eleven is reduced by one-third of a number, the result is 5
. Find the number.
Answer:
18
Step-by-step explanation:
11 - 1/3x = 5
Subtract 11 from both sides
-1/3x = -6
Multiply both sides by -3
x = 18
How many times can 60 go in 119
Answer:
answer is 1
Step-by-step explanation:
bcs 119 ÷ 60 is 1 remainder is 59 1.59 :)))
Which equation shows the
commutative property of addition?
A 2x = 2x
B 2x + 3 = 3 + 2x
C 2x - 3 = 2(x - 3)
D 2(x + 3) = 2x + 6
Answer:
B
Step-by-step explanation:
Have a nice day!
solve the equestion 2x³+3x²_3x=2
Answer:
2
Step-by-step explanation:
For Example, To complete the square when a is greater than 1 or less than 1 but not equal to 0, factor out the value of a from all other terms.
For example, find the solution by completing the square for:
2x2−12x+7=0
a≠1,a=2 so divide through by 2
22x2−122x+72=02
which gives us
x2−6x+72=0
Maria randomly selects a number from the list of numbers below.
56, 90, 88, 76, 12
What is the probability that she selects an even number?
Answer:
1:1 or 100% i don't know which you need
Step-by-step explanation:
I'll add a photo of the problem!
Answer:
its d
Step-by-step explanation:
the number 30 is not listed in the problem there that is info that is not there
Is this correct?? So, basically, it asking for a decimal equivalent to 920.35
Solve for x. Round all answers to the nearest tenth.
9
X
12
Answer:
I hope im right so so sorry if im not
Step-by-step explanation:
first find area
1/2 bh
1/2 of base times height
bh=(9)(12)=108
if there is a right angle then that is 90°
so do 108° -90° which is 18°
So your answer is 18°
The solution is, the value of x = 36.87.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
from the given figure,
we get,
height = 9
base = 12
by, using the trigonometric relations,
we get,
tan x = 9/12
or, tan x = 0.75
or, x = 36.87
Hence, The solution is, the value of x = 36.87.
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