13. Find the diagonal of a square if the lengths of its sides are each 16 mm. Round to the nearest tenth.
A. 16.0 mm
B. 45.3 mm
C. 22.6 mm
D. 32.0 mm
Answer:
[tex]C.\ 22.6mm[/tex]
Step-by-step explanation:
When one draws a diagonal in a square (a line connecting opposite corners), the halves of the square form (45-45-90) triangles. This means that the triangle follows the following ratio,
[tex](a)-(a)-(a\sqrt{2})[/tex]
Where (a) represents the legs or the sides adjacent to the right angle (angle with the box around it) and ([tex]a\sqrt{2}[/tex]) represents the hypotenuse or side opposite to the right angle.
Both legs have a length of (16)mm this is because all sides of a square are congruent, and the two sides adjacent to the right angle are both the sides of a square. One of them has the measure of (16) thus the other must have a measure of (16). This means that the diameter has the following value,
[tex]16\sqrt2}[/tex]
In numerical form,
[tex]\approx22.62[/tex]
These triangles are:
A) congruent,
B) similar or
C) neither.
Answer:
B similar
Step-by-step explanation:
Both of these triangles have the same proportions and angles even though they are different sizes, making them similar.
Have a most wonderous day!
Answer:
it should be similar
Step-by-step explanation:
I hope this helps
Need help on this please tell me the answer
Answer:
your answere is 80 degrees
Step-by-step explanation:
the total of the inside is 180 so subtract 35 and 65 from 180 and you get 80
Factorise a^2-b^2 but it has no indecies
Answer:
(a+b)(a-b)
Step-by-step explanation:
A tennis ball has a mass of 0.06 kilograms. What place value is the 6 in this
number?
Answer:
It is the hundredths.
Step-by-step explanation:
The second number after the decimal is the hundredths place.
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within three percentage points with 99% confidence, assuming that (a) she uses the estimates of 22.6% male and 18.1% female from a previous year
Answer:
A sample size of 1380 should be obtained.
Step-by-step explanation:
Minimum sample size:
The minimum sample size is of:
[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]
In which z is the critical value, related to the confidence level, E is the desired margin of error, [tex]p_1[/tex] and [tex]p_2[/tex] are the proportions.
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
Estimates of 22.6% male and 18.1% female from a previous year
This means that [tex]p_1 = 0.226, p_2 = 0.181[/tex].
Within 3 percentage points, minimum sample size:
This is n for which [tex]E = 0.03[/tex]. So
[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]
[tex]n = (\frac{1.96}{0.03})^2(0.226*0.774 + 0.181*0.819)[/tex]
[tex]n = 1379.4[/tex]
Rounding up:
A sample size of 1380 should be obtained.
The two numbers rolled can be added to get a sum. Find P(sum is greater than 5).
A. Start Fraction 5 over 6 End Fraction
B. thirteen-eighteenths
C. Start Fraction 5 over 18 End Fraction
D. one-third
Answer:
8/9
Step-by-step explanation:
let the number rolled be two dies
When two dice are rolled, the total outcome will be 6² = 36
The pair that gives a sum of 5 are (1,4), (4,1) ,(2, 3), (3, 2). These gives 4 outcomes.
The pair that gives the sum greater than 5 = 36 - 4 = 32
Pr(sum is greater than 5) = Expected/Total outcome
Pr(sum is greater than 5) = 32/36
Pr(sum is greater than 5) = 8/9
ONLY ANSWER CORRECTLY
Select the correct answer.
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to
penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The
test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?
OA. 0.005
ОВ,
0.015
Ос.
0.245
OD 0.735
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1071 Can Allen
app.edmentum.com/assessments delivery/ua/mt/launch/49001233/826708953/aHROCHM6Ly9mMiShcHAUZWR
ZXItdWkvdXNICI
B4MY3MDG5NTE 3de
US
10:21
DULL
Answer:
C 0.245
Step-by-step explanation:
have a good day/night sorry if wrong may i please have a bralliest
Which of the following ordered pairs lies on the graph of y= tanx?
Answer: A/ first answer
Step-by-step explanation: it is that beacause it is paired to y=tanx
PLEASE HELP ME‼️‼️‼️‼️Find the measurement of the angle indicated for each trapezoid.
Answer:
Step-by-step explanation:
I want you to do the problem, but look and see what the inside degree has to add up to. 180? 360? then find it from there
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration -
a, over time, t. Which is an equivalent equation solved for a?
Ofv=a
10-v=a
O a
(+v=a
o {+v=a
Answer:
A
Step-by-step explanation:
f = v + at
f - v = at
(f-v)/t = a
Answer:
(f - v) / t = a
Step-by-step explanation:
Solving for the equation for a means taking all integers or values on the other side of the equation for a
To do this we must do it mathematically.
f = v + at
f - v = at
(f - v) / t = a
This box can be packed with 48 unit cubes. The edge length of each
unit cube is 1 meter. What is the volume of the box?
11 cubic meters
11 meters
48 meters
48 cubic meters
134 Complete
Answer:
Volume of the box = 48 cubic meter
Step-by-step explanation:
Given:
Total number of cubes used = 48 cubes
Length of each cube = 1 meter
Find:
Volume of the box
Computation:
Volume of each cube = Side³
Volume of each cube = 1³
Volume of each cube = 1 cubic meter
Volume of the box = 48[Volume of each cube]
Volume of the box = 48[1 cubic meter]
Volume of the box = 48[1]
Volume of the box = 48 cubic meter
State if the triangles in the pair are similar. If so, complete the similarity statement
Answer:
they similar
triangle SRQ - SBC
Answer:
similarity statement =RS/BS=QS/CS=RQ/BC OR,
triangle RSQ≅triangle BSC
Step-by-step explanation:
9) Simplify: 3V512
A) 6
B) 7
C) 8
D) 9
Answer:
C) 8
Step-by-step explanation:
∛512
8
How does the author support his argument that people depend on the continued existence of coral reefs? A) by quoting experts and scientists who believe that humans cannot survive without the existence of coral reefs B) by claiming that human beings have a religious and social obligation to not harm, but encourage the growth of coral reefs C) by detailing science experiment results that showed conclusively that humans will be adversely affected if all coral reefs disappeared D) by asserting that the reefs contain many plants and animals used in medicines, chemicals, or other products that humans need to lead healthy lives
Answer:A) by quoting experts and scientists who believe that humans cannot survive without the existence of coral reefs
Step-by-step explanation:
Answer:
D) by asserting that the reefs contain many plants and animals used in medicines, chemicals, or other products that humans need to lead healthy lives
Step-by-step explanation:
did the usa test prep owo
!!!!PLEASE HELP!!!
WILL MARK BRAINLIEST!!!:)
What is the value of x in this triangle?
58
32
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
x=
Answer:
X = 66.24
Step-by-step explanation:
Formula: A^2 + B^2 = C^2
Substitution: 58^2 + 32^2 = 4388
√4388 = 66.2419806467
66.2419806467 ( Rounded to the hundredths place ) = 66.24
Please mark the answer as Brainliest if it's correct . :)
GIVING BRAINLIEST !!!!!
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)
2
4
6
8
10
Probability 0.35 0.2 0.1 0.2 0.15
Expected Value = [?]
Round to the nearest hundredth.
Enter
Answer:
Expected value: $5.20
Step-by-step explanation:
2(0.35)+4(0.2)+6(0.1)+8(0.2)+10(0.15)=5.2, so you can expect to win $5.20 in this game.
Answer:
5.20 is the answer for Acellus it works
Step-by-step explanation:
Write 123,000,000 as a multiple of a power of 10.
Answer:
1.23 x 10^8
hope this helps
have a good day :)
Step-by-step explanation:
Which fraction is closest to 1 7/5 or 5/7
Answer:
5/7
Step-by-step explanation:
17/5 is greater than 5/7
Lucy receives 28 dollars a night for babysitting. She also had 135 dollars in
savings before she started babysitting. If she currently has 275 dollars, write an
equation to represent how many nights of babysitting
Lucy worked.
A. 28n = 275
B. 135n = 275 + 28
C. 28n = 275 + 135
D. 135 + 28n = 275
E. none of the above
what is the sum of 5/12 and 4/9
Answer: 31/36
Step-by-step explanation:Add them up..5/12+4/5 you need to convert to a common denominator. Common denominator is 36; 15/36+16/36=31/36
Answer:
[tex]\frac{31}{36}[/tex]
Step-by-step explanation:
To get the sum you have to have the same denominator.
So you have to find out what can 12 and 9 go into without leaving a remainder which is 36.
Then you divide 36 by 12= 3 and 36 by 9= 4
Then you multiply 3 by 5= 15 and 4 by 4= 16
You add then up and you get 31
So 31/36 is the answer.
Which choice is equivalent to the quotient shown here for acceptable values of x?
√8^2 ÷ √3x
PLEASE NO LINK ANSWERS
Answer:
A) [tex]\sqrt{8x/3}[/tex]
Step-by-step explanation:
[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]
[tex]\sqrt{8x^{2}/{3x}[/tex]
[tex]\sqrt{8x/3}[/tex]
Therefore, A is correct
the product of 8 and five more than a number
Answer:
8 x 5 > x is your algebra expression.
Step-by-step explanation:
We use the keywords:
Product of, considered the answer of the two numbers being multiplied
More than, considered as >
And, "a number" considered a variable
One card is drawn from a regular deck of 52 cards. Find P (a red jack). Express your answer as a fraction and a percent, rounded to the nearest tenth of a percent.
Answer:
GIME SUM SKITTLES (Points)
Step-by-step explanation:
Answer:
Step-by-step explanation:
??.
x - 3y = 2
-2x + 6y = 2
Answer:
x=3y
y=x
3
Step-by-step explanation:
x-3y=2 equation 1
-2x+6y=2 equation 2
x-3y= -2x+6y
x+2x=6y+3y
3x=9y
x=3y
x-3y= 2
3y-3y=2
0≠2
-2x+6y=2
-2(3y)+6y=2
-6y+6y=2
0≠2
FREEEEEEE POINTZZZZ
MATH WORDS FOR WORD COUNT: ADD SUBTRACT EQUATION
Answer:
Ayeeeeeeeeeeeeee
Step-by-step explanation:
Thanks a lot! Have a good day!
Answer:
Thanks
Step-by-step explanation:
Evaluate g(5) given. Help please
Answer:
[tex]g(5) = \frac{2}{3}[/tex]
Step-by-step explanation:
Piecewise function:
A piecewise function has a different rule depending on the input.
In this exercise:
If the input x is equal or less than two, the rule is [tex]|7 - x^2|[/tex], and if it is greater than 2, the rule is:
[tex]\frac{x+1}{2x-1}[/tex]
g(5)
The input is [tex]x = 5 > 2[/tex], so the rule is:
[tex]g(x) = \frac{x + 1}{2x - 1}[/tex]
At [tex]x = 5[/tex]
[tex]g(5) = \frac{5 + 1}{2(5) - 1} = \frac{6}{9} = \frac{2}{3}[/tex]
The answer is [tex]g(5) = \frac{2}{3}[/tex]
HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP
Answer:
HL theorem
Step-by-step explanation:
since NP⊥OM, so, L H is a right angle.
and NM = OP as hypotenuse
HL theorem
NP is perpendicular to OM
<NHO=90°NM =OP given
So the triangles are congruent
find the area of rectangle whose length and breadth are length is equals to 9.4 cm breadth is equals to 6.3cm
Answer:
area of rectangle=length ×breadth
=9.4cm×6.3cm
=59.22cm
Which equation represents a horizontal line?
x=y+2
X-2
y = x+1
y=2
Answer:
y=2
Step-by-step explanation:
A horizontal line can be represented as y = a number.
Therefore D. y=2 is a horizontal line.