Given:
The right angle triangle with legs 4 units and 7 units.
To find:
The length of hypotenuse.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Let x be the length of the hypotenuse.
Using the Pythagoras theorem for the given triangle, we get
[tex]x^2=4^2+7^2[/tex]
[tex]x^2=16+49[/tex]
[tex]x^2=65[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{65}[/tex] [∵Side length cannot be negative]
[tex]x\approx 8.06[/tex]
Therefore, the length of the missing side for the given right angle triangle is 8.06 units.
A radio station announces one listener's name between 8:10:00 and 8:21:59 every morning. If you turn the radio on at 8:18:00, what are the chances that you missed the announcement? Round your answer to the nearest hundredth.
Answer:
[tex]Pr = 0.67[/tex]
Step-by-step explanation:
Given
[tex]Start = 8:10:00[/tex]
[tex]End = 8:21:59[/tex]
[tex]You = 8:18:00[/tex]
Required
Chances that you missed the appointment
First, calculate the number of minutes of the radio station
[tex]n = End - Start[/tex]
[tex]n = 8:21:59 - 8:10:00[/tex]
[tex]n = 11\ min\ 59\ secs[/tex]
Convert to seconds
[tex]n = 719[/tex]
Since you turn on at 8:18:00, then you've missed the broadcast from the start till 8:18:00
So, we have:
[tex]Missed = 8:17:59 - 8:10:00[/tex]
[tex]Missed = 7\ mins\ 59\ secs[/tex]
Convert to seconds
[tex]Missed = 479[/tex]
The probability that you missed is:
[tex]Pr = \frac{Missed}{n}[/tex]
[tex]Pr = \frac{479}{719}[/tex]
[tex]Pr = 0.67[/tex]
9876544567876+0987654456787654567876587654567876
Answer:
9.8765446e+32
im smart brainlest plz
Step-by-step explanation:
Answer:
9.877x10`32
Step-by-step explanation:
The fact that I actually spent time to put that into my calculator
5(2x-1) expanded
Please help
Answer:
the answer would be 10x-5
Step-by-step explanation:
Because u multiply the 5 by each number within the parentheses.
Describe the correct answer to this problem including units what is the volume of the figure
Step-by-step explanation:
height = √6.5² - 2.5² = 6ft
The objects shown above have the same altitude measurements.
O A. True
O B. False
Answer:
False
Step-by-step explanation:
Because the red line on the right is shorter then the one on the left, hope this helps.
Hi guys can some one help me with this question pls this is kinda hard pls upload in a paper i need all answer i will give them 100 points pls
note: anyone give answer wrong answer for points reporte to moderator
Answer:
Step-by-step explanation:
Magan recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
Instrument # of Students
11
11
Guitar
Bass
Drums
Keyboard
8
8
Guitar
Bass
Drums
Keyboard
13
15
13
13
Based on these results, express the probability that a seventh grader chosen at
random will play the guitar as a fraction in simplest form.
Answer:
11/40
Step-by-step explanation:
Don't ask I just went to see the solution but that's the answer
Answer:7/18
Step-by-step explanation:
HELP ME PLEASE...................................
a cylindrical paint can has a diameter of 12 centimeters and a hieght of 16 centimeters. What is the colsest to the volume of the paiint can in cumbic meters
Answer: [tex]1809.792\ m^3[/tex]
Step-by-step explanation:
Given
The diameter of the cylinder is [tex]d=12\ cm[/tex]
height of the cylinder is [tex]h=16\ cm[/tex]
The volume of a cylinder is given by
[tex]V=\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\pi \times 6^2\times 16\\\Rightarrow V=3.142\times 576\\\Rightarrow V=1809.792\ m^3[/tex]
The volume of the cylinder is [tex]1809.792\ m^3[/tex]
g(n) = n2+ 2; Find g(3)
Answer: 8
Step-by-step explanation: in this problem n=3 so you are to substitute 3 in for the variable n.
3*2+2
3*2=6
6+2=8
g(3)=8
Hope this helps (^_^)
Answer:
8
Step-by-step explanation:
g(3) means to plug 3 in as the n-value
g(3)= (3)2+2
=6+2
g(3)=8
need help please !!!!!!!!!!!!
Answer:
160,000,000,000,000
Step-by-step explanation:
M= 200,000,000,000,000
P= $40,000,000,000,000
200,000,000,000,000 - 40,000,000,000,000=
160,000,000,000,000
All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros
Answer:
(2×10^14)/(4×10^13) = 5
Star M is 5 times farther from earth than Star P.
Write an equation that shows the relationship 40% of 120 is a.
Answer:
---
Step-by-step explanation:
Convert the fraction to a decimal(40% = 40/100 = 0.4). Multiply it by 120.
0.4x120=a
---
hope it helps
The equation 40 ÷ 100 × 120 = a shows
the relationship 40% of 120 is a
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
'An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.'
For example, 3x + 5 = 15.
Given,
Relation, 40% of 120 is a
⇒ 40% × 120 = a
Above relation can be written in equation as
40 ÷ 100 × 120 = a
Hence, 40 ÷ 100 × 120 = a is the equation
for relation such that 40% of 120 is a.
Learn more about equation here:
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PLEASE HELP ASAP!! Point m is the midpoint of PQ. The coordinates of M are (2,4). The coordinates if Q are (12,10). What are the coordinates of point P?
Answer:
0,0
Step-by-step explanation:
In adjoining the figure to find the coordinates of point P the distance of P from y-axis is 0 units and the distance of P from x- axis is 0 units
Which of the following is not a characteristic of term life insurance?
A) Must be renewed periodically
B) Coverage can be denied upon renewal
C) Paid out if you die
D) Ability to access cash value
[Mathematics of Personal Finance A P E X]
Answer:
D-Ability to access cash value
The statement which is not a characteristic of term life insurance is B) Coverage can be denied upon renewal.
What is Term Life Insurance?Term life insurance is the simplest form of the life insurance which is a death benefit which pays the policyholder when lives or their heirs when they died.
Here,
Term life insurance has to be renewed periodically.
The coverage of the term life insurance can be extended by renewing it. So it cannot be denied upon renewal.
In term life insurance, it will paid out if you die.
There is a characteristic of ability to access cash value in term life insurance.
Hence the characteristic which is not that of the term life insurance is option B) Coverage can be denied upon renewal.
Learn more about term Life Insurance here :
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Suppose that whether it rains tomorrow depends on past weather conditions only through the last 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. Over the long term, what proportion of days does it rain
Answer:
The answer is "0.425".
Step-by-step explanation:
The T be a requirement today that such rains.
The Y be a situation yesterday that now it rained.
The O is a condition for tomorrow to rain.
[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]
There Arena and morrow overview To Aspects Which will rain:
[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]
Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.
Its possibility of tomorrow's rain is:
[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]
[tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]
[tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form.
PLEASE show me how to put them in the box
Answer:
c=4√2
Step-by-step explanation:
Sine the triangle is a right triangle you can use the Pythagorean theorem. a^2+b^2=c^2
(4)^2+(4)^2=c^2
16+16=c^2
32=c^2
c=√32
c=4√2
Paul worked as a library volunteer for 8 ¼ hours. Harry worked for 3 ½ hours. How much longer did Paul work than Harry?
Answer:
4 3/4
Step-by-step explanation:
= (8 - 3) + (1/4 - 1/2)
= 5 + 1/4 - (1 x 2 over 2 x 2)
= 5 + 1/4 - 2/4
= 5 and (1/2 over 4)
= 5 + -1/4
= 4 3/4
Geometry question on finding x.
Answer:
[tex] x =63^o[/tex]
Step-by-step explanation:
Given :-
[tex]\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}[/tex]We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .
According to question :-
[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]
Hence the value of x is 63° .
Create an equation that matches the following
transformations:
A horizontal shift left 8.
A vertical shift up 3.
Answer: there you go! I hope this helps!
Step-by-step explanation:
given the function f(x)= √x+7, find the value of x when f(x)=1
Does the tallest can always hold the greatest volume? Explain your answer!
Alrighty, so, you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.
If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.
The tallest container holds the most liquid. Identical containers can have a different capacity.
Type the integer that makes the following addition sentence true:
-6 ??? = -8
Answer:
-2
Step-by-step explanation:
-6+x=-8
+6 +6
x=-2
DOUBLE CHECK
-6+(-2)=-8
-6-2=-8
True ✔
---
hope it helps
WILL GIVE BRANLIEST HELP PLEASE!
I believe since you are looking for the angle of M<ABC, you just add both 120 and 25 together, since they practically share a point.
So 120 + 25 = 145
So I guess 145 would be your answer.
I remembered this type of problem from Geometry.
Can u guys help me plz?
Find the value of x.
Answer:
5
Step-by-step explanation:
Using pythagoras theorem
Answer:
4056 is the correct answer I think
Step-by-step explanation:
13×13×24=4056
NO LINKS!
Select the correct answer from each drop-down menu.
Consider the end behavior of the function
g(x) = | x-2 | -3
As x approaches negative infinity, f(x) approaches
[BLANK] infinity
Options :
Negative, Positive
As x approaches positive infinity, f(x) approaches [BLANK] infinity
Options :
Negative, Positive
Answer:Function to be graphed is,
h(x) = 2(x - 3)²
Function 'h' is a quadratic function.
Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.
Both the ends of the parabola will be upwards (towards positive infinity).
As x approaches to negative infinity, h(x) approaches to positive infinity.
As x approaches to positive infinity, h(x) approaches to positive infinity.
Step-by-step explanation:
Evaluate the expression when h = 12, p = 7
4h −2p −10
Answer:
48-14-10= 24
Step-by-step explanation:
just put those numbers that corresponds with the letters.
What is -2(3x+12y-5-17x-16y+4) simplified?
Answer:
Solution given:
-2(3x+12y-5-17x-16y+4)
-6x-24y+10+34x+32y-8
34x-6x+32y-24y+10-8
28x+8y+2 is a required answer.
A restaurant served a new flavor of tea. The owner surveyed a total of 75 customers (male and female) to find out if they liked the tea. The Venn diagram shows results of the survey.
One of the surveyed customers is chosen at random.
What is the probability that this person liked the tea, given that the person is female? (Round answer to the nearest hundredth.)
The probability that this person liked the tea, given that the person is female is P = 0.806
How to get the probability?
The probability will be given by the quotient between the number of females that liked the tea and the total number of females in the experiment.
We know that there are 25 + 6 = 31 females in the experiment, and 25 of them liked the tea, then the probability that a random female likes the tea is:
P = 25/31 = 0.806
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Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?
Answer:
I think the answer is option 2
3 is the correct choice