Answer:
20%
Step-by-step explanation:
You start driving south for 16 miles, turn left, and drive east for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
20
Step-by-step explanation:
(16)2+(12)2=
c2\,\,c^{2}c2
Use the Pythagorean Theorem.
256+144=256+144=256+144=
c2\,\,c^{2}c2
Simplify.
400=400=400=
c2\,\,c^{2}c2
Simplify.
±400=\pm\sqrt{400}=±400
=
c2\,\,\sqrt{c^{2}}c2
Square root both sides.
20=20=20=
c\,\,cc
Simplify. Ignore negative root, as length must be positive.
Herb drew an equilateral triangle one side of the triangle is 5 inches long the other side of the triangle what is 5 inches long how long was The third side of the triangle herb drew explain your reasoning
Answer:
5 in.
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
So third side is 5 inches long.
M multiplied by 4 is greater than 12
How do I solve it
Answer:
M > 3
Step-by-step explanation:
4M > 12
M > 3
Answer:
um... you can have M as 4. 4 x 4 =16
There is a 75% chance Matt will choose pepperoni pizza and a 1/3 chance Ashley will choose a salad. Assuming they are independent events, what is the probability Matt will choose pepperoni pizza and Ashley will choose a salad? Write your answer as a percentage.
Answer:0
Step-by-step explanation:
0
The probability Matt will choose pepperoni pizza and Ashley will choose a salad is 1/4.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
There is a 75% chance Matt will choose pepperoni pizza
= 75/ 100
= 3/4
and, Ashley chooses a salad which had a chance = 1/3.
As, the events are independent then we know that if two events A and B are independent evets then
P(a B)= P(A) . P(B).
so, the probability is
= 1/3 x 3/4
= 1/4
Learn more about probability here:
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Which confidence level will produce the widest confidence interval, given a
sample proportion of 0.4?
A. 95%
O B. 99.7%
C. 68%
D. 90%
The widest confidence interval that will be produced the 99.7%, given a sample proportion of 0.4.
How to calculate a confidence interval for the population mean?If the sample size is given to be n < 30, then for finding the confidence interval for the mean of the population from this small sample, we use the t-statistic.
Let the sample mean given as [tex]\overline{x}[/tex] and
The sample standard deviation s, and
The sample size = n, and
The level of significance = [tex]\alpha[/tex]
Then, we get the confidence interval in between the limits
[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]
where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for a specific level of significance and degree of freedom n - 1.
In statistics, a confidence interval is a range to estimate for unknown terms. The most common level is the 95% confidence interval.
So, the widest confidence interval that will be produced the 99.7%, given a sample proportion of 0.4.
Learn more about confidence intervals;
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2) 2(8r + 5) = 24 + 9r
Answer:
r = 2
Step-by-step explanation:
2(8r + 5) = 24 + 9r
16r + 10 = 24 + 9r
16r - 9r = 24 - 10
7r = 14
r = 2
Carter invested 540 in an account paying an interest rate of 4 and 7/8% compounded monthly. Jack invested 540 in an account paying an interest rate of 5 and 1/2% compounded continuously. To the nearest hundredth of a year, how much longer would it take for Carter's money to triple than for jack's money to triple?
Answer:
Step-by-step explanation:
i need help with geometry
ASAP
-WILL MARK BRIANIST
Answer:
4?
Step-by-step explanation:
im not sure but the question asks about types of bread, since none are listed, i am assuming they all have a different price so the $1 bread $2 bread $3 bread and $5 bread... sorry i couldn't help better!
Which gives the line of best fit?
f(x)=45x
f(x)=x
f(x)=2x
f(x)=45x+45
Answer:
f(x) = x
Step-by-step explanation:
example of points on line: (40,40), (45,45), (50,50)
x-values are the same as y-values which means the line is y=x
IM ONE HOUR AWAY FROM FAILING PLZZZ HELPP. plzzz show your work
Answer:
182Billion
Step-by-step explanation:
thats for one country.
Country x Money x Engineers = Mobey per year. I'm sorry if its wrong
solve this question plz
Answer:
answer is 69 degree
Step-by-step explanation:
a+33+78=180 degree
a+111=180
a=180-111
a=69
find the value of X to the nearest tenth:
Answer:
13.0
Step-by-step explanation:
sin(65°) × 14.3 would give u 12.9 then u round it to the 13
PLS HELP I NEED HELP
What is the area of this shape?
A jogger is running around a 3/4 mile track and he has ran 2/3 around the track how far has the jogger traveled? THANKS!
Answer:
.5
Step-by-step explanation:
3/4 of a mi is equal to 0.75 mi
2/3 of .75 is .5
What is not a multiple of 2 and what is not a multiple of 7
Answer: For 2 it could be 43 and for 7 it could be 58
Step-by-step explanation:
Which value is closest to the perimeter of the window?
Perimeter of semicircle = circumference = π × r = π × 2.5 = 7.85ft
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answer:
1. They can divide it up so each person gets 2.25 of a cookie.
2. [tex]\frac{1}{12}[/tex]
3. [tex]\frac{3}{5}[/tex]
4. 4.625
5. [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
1. They can each have 9 ÷ 4 = 2.25 of a cookie
2. So we have 4 • 3 = 12 pieces. [tex]\frac{1}{12}[/tex]
3. They will get to eat [tex]\frac{3}{5}[/tex] of a bag.
4. 74 ÷ 16 = 4.625
5. Will and his 2 friends = 3 people [tex]\frac{10}{3}[/tex]
A community college employs 88 full-time faculty number. To gain the faculty opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty number. He numbers the faculty form 1 to 88.
Answer: Hi your questions some required details attached below is the required random number table and missing question
Answer : 83, 58, 64, 26, 47, 68, 29, 4, 78
Step-by-step explanation:
The number of 9 faculty members that will be included in the sample will be written considering the fact that the 9 numbers ( first 9 ) are lesser than 88, and also considering the fact that 58 is repeated twice ( in the random number table ). Hence The number of 9 faculty members = 83, 58, 64, 26, 47, 68, 29, 4, 78
Please find the surface area. 25 point worth.
Answer:
105.28 i did the math
Step-by-step explanation:
HELPPPP PLEASEE
How much is Vince paid for one hour of work?
A.
$3.60
B.
$9.00
C.
$9.50
D
$12.00
Answer:
B
Step-by-step explanation:
Using the graph, we pick a convenient point: (20, 180)
This point means that for 20 hours of work, Vincent is paid 180 dollars. In fraction form, we can write 20hrs/180 dollars. If we simplify the fraction by dividing both the numerator and denominator by 20 we get 1/9 AKA 1hr/9 dollars. So in 1 hour, Vinnie is paid $9.00
Have a good rest of your day
Please help! I don't really understand this.
Step-by-step explanation:
11.
Area of rectangle = 408 in²
Length = 3x-2 and width = x
The area of a rectangle is given by :
A = lb
(3x-2)x = 408
x = 12 inch and x = -11.33 in
Neglecting negative value,
The width of rectangle = 12 inch
The length of rectangle = 3x-2 = 3(12)-2 = 34 inch
12.
Base of triangle = 2x+2
Height = x
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x[/tex]
x = 24 cm and x = -25 cm
Neglecting negative value, x = 24 cm
Base = 2x+2 = 2(24)+2 = 50 cm
Hence, this is the required solution.
The wavelength of a certain type of light is 0.0000014 inches. Write the wavelength in scientific notation.
Answer: [tex]1.4\times 10^{-6}[/tex]
Step-by-step explanation:
Given
The wavelength of light is 0.0000014 inches
Here, seven digits are followed by a decimal point
To convert it to scientific notation, convert it into a fraction i.e.
[tex]=0.0000014=\dfrac{14}{10,000,000}[/tex]
In the denominator, there are 7 zeroes
[tex]\therefore 0.0000014=\dfrac{14}{10^7}\\\\\Rightarrow 0.0000014=14\times 10^{-7}\\\\\Rightarrow 0.0000014=1.4\times 10^{-6}[/tex]
Practice 4b
In the diagram, PQRS is a rectangular sloping surface, PQTU is a rectangle on horizontal ground and RI and
SU are vertical lines. PQ = SR=UT = 45 cm, QR = PS = 32 cm and angle RQT= 38º.
Calculate
PR,
(b) RT, and
(c) angle RPT
Answer:
(a) PR = 55.2 cm
(b) RT = 19.7 cm
(c) <RPT = [tex]20.8^{o}[/tex]
Step-by-step explanation:
(a) to determine the value of PR, apply the Pythagoras theorem to PQR.
PQ = 45, and SP = QR = 32. So that;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]
= 2025 + 1024
= 3049
PR = [tex]\sqrt{3049}[/tex]
= 55.218
PR = 55.2 cm
(b) To determine RT, apply the appropriate trigonometric function to QRT.
Let RT be represented by x, so that;
Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]
x = 32 * Sin [tex]38^{o}[/tex]
= 32 * 0.6157
x = 19.7024
RT = 19.7 cm
(c) To determine <RPT, let the angle be represented by θ.
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{RT}{PR}[/tex]
Sin θ = [tex]\frac{19.7024}{55.218}[/tex]
= 0.3568
θ = [tex]Sin^{-1}[/tex] 0.35568
= [tex]20.84^{o}[/tex]
Thus, <RPT = [tex]20.8^{o}[/tex]
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
Basketball being held!
Step-by-step explanation:
It's complicated to explain, but I hope this helped! :)
If two points known on the line A B in the coordinate plane is (7,15) and (18,42), calculate the slope of the line AB and the length of the line AB
Answer:
Slope = 27/11
AB = 29.15 u
Step-by-step explanation:
Given :-
Two points are given to us .The points are A(7,15) and B(18,42)To Find :-
The slope of the line .The length of line AB .We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,
[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]
Plug in the respective values ,[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]
Hence the slope of the line is 27/11 .
[tex]\rule{200}2[/tex]
Finding the length of AB :-
We can find the distance between them by using the Distance Formula .[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]
Hence the length of AB is 29.15 units .
Pls hurry, will mark brainliest
Answer:
B is correct
Step-by-step explanation:
Find the value of x???
Answer: 29°
Step-by-step explanation:
if you do 180-151 you get 29 which is the remaining degrees
Answer:
Step-by-step explanation:80
Brad's science class is doing a fun experiment. Each student must make a parachute that can safely carry a raw egg from the school roof to the ground. On the day of the parachute experiment, Brad's teacher gives 4 raw eggs to each student in the class. He gives out a total of 24 eggs.
Which equation can you use to find the number of students s in Brad's class?
Answer:
24 divided by 4
Step-by-step explanation:
if each of them gets 4 eggs then just divide to see how many times 4 goes into 24 and that will get you the number of students in his class. Also, 24 divided by 4 is 6
mZS = 23
, arc RS = 86
, and RU is tangent to the circle at R. Find mZU.
S
U
Answer:
[tex]\angle U = 20^\circ[/tex]
Step-by-step explanation:
Given
See attachment
[tex]\angle S = 23[/tex]
arc [tex]RS = 86[/tex]
Required
Find [tex]\angle U[/tex]
Let
[tex]O \to[/tex] center of the circle
We have that:
arc [tex]RS = 86[/tex]
This implies that:
[tex]\angle SOR = 86^\circ[/tex]
and
[tex]\triangle SOR \to[/tex] is an isosceles triangle
because:
[tex]SO = OR \to[/tex] the radius of the circle
And
[tex]\angle RSO = \angle ORS[/tex]
So, we have:
[tex]\angle RSO + \angle ORS + \angle SOR = 180^\circ[/tex] --- angles in a triangle
[tex]\angle RSO + \angle ORS + 86^\circ = 180^\circ[/tex]
Collect like terms
[tex]\angle RSO + \angle ORS =- 86^\circ + 180^\circ[/tex]
[tex]\angle RSO + \angle ORS =94^\circ[/tex]
Recall that: [tex]\angle RSO = \angle ORS[/tex]
So:
[tex]\angle RSO + \angle RSO =94^\circ[/tex]
[tex]2\angle RSO =94^\circ[/tex]
Divide by 2
[tex]\angle RSO =47^\circ[/tex]
RU is a tangent.
So:
[tex]\angle ORU = 90^\circ[/tex]
Given that:
[tex]\angle S = 23[/tex]
Considering [tex]\triangle SRU[/tex]
We have:
[tex]\angle RSU = \angle S = 23^\circ[/tex]
So:
[tex]\angle SRU= \angle RSO + \angle ORU[/tex]
[tex]\angle SRU= 47 + 90[/tex]
[tex]\angle SRU= 137[/tex]
Lastly:
[tex]\angle RUS + \angle RSU + \angle SRU =180^{0}[/tex]
[tex]\angle RUS + 23 + 137=180^{0}[/tex]
Collect like terms
[tex]\angle RUS =180^{0} - 23 - 137[/tex]
[tex]\angle RUS =20^{0}[/tex]
Hence:
[tex]\angle U = 20^\circ[/tex]