In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.
Step-by-step explanation:
we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem
the length of the side opposite the 30 angle is 17/2
talking about exercise on the photo the answer is
8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.
Now lets use pythagorean theorem
x^2+y^2=z^2
z is hypotenuse
8^2+y^2=16^2
64+y^2=256
y^2=256-64
y^2=192
y=8√3
Divison i need help with that
Answer:
K What's the problem?
Step-by-step explanation:
g Statesville population in 2010 was about 24,700, and was growing by about 1% each year. If this continues, what will Statesville population be in 2018? [Round to the nearest person.]
Answer:
26,676population
Step-by-step explanation:
Population in 2010 = 24,700
If it grows yearly by 1%, increment per year is expressed as:
1% of 24,700
= 1/100×24700
= 247 populations
After 8years, population increase will be 247×8 = 1976 population
Statesville population in 2018 will be expressed as;
Population in 2010+increase after 8years
= 24700+1976
= 26,676 population
Hence statesville population in 2018 will be 26,676population
Can someone help ME PLEASE?!!! will mark brainliest, a friend request, and will rate ur answer
Can someone write these down on a piece of paper?
THX A LOT FOR WHO EVER HELPS ME!!! :)
Step-by-step explanation:
hopes this help
gggggyyrtbtb5btbtbb5b5b6b66btb5tb6h6
If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?
Answer:
The plot coordinates are (3,3).
Step-by-step explanation:
Given:
A function f(x) and its inverse is f-1(x)
To find :
The plot of the coordinates for the intersection.
Solution:
Now we know that inverse function is changing the y=f(x) and then
changing to x to y and y to x
So given function is f(x)
Inverse function is y,
But value of inverse function is f-1(x)
So y=f(x)=f-1(x)
Therefore it becomes
y=x
Hence the value is y=x coordinates
hi Google what is 3.6 * 10
Answer:
3.6 x 10 is 36
3.6 x 100 is 360 l
3.6 x 1000 is 3600
can someone tell me what my GPA is.
Answer:
probably 5.00
Step-by-step explanation:
A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?
Answer:
The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:
P = 1 - P(1) - P(0)
Where:
P(1) = probability that the vaccine is not effective in one individual
P(0) = probability that the vaccine is not effective in 0 individuals.
The probability that the vaccine is effective is 0.95
Then the probability that the vaccine is not effective is 0.05.
Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:
p(1) = (0.05^1)*(0.95^19)
But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)
Then the actual probability is:
P(1) = 20*((0.05^1)*(0.95^19)) = 0.377
And P(0) is easy to compute:
P(0) = (0.05^0)*(0.95^20) = 0.358
And here we have only one possible permutation, so we do not worry about that.
Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265
This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)
I need to solve for n.
2-1= plz help me i need help
Answer:
1 :)
Step-by-step explanation:
in need help quick and can you also explain how you did or what I'm supposed to be doing
Answer:
heres a helpful stragity for your pos and neg numbers
- -
+ it's aupposed to be like a smiley face so lets say you had to solve -7+3 then you'd cover up the negitive and positive sign, so the answer would be a negitive number. It's a little stategy. And you should answer the question in the brackets then that answer times whatever you got.
In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)
Answer:
0.03177
Step-by-step explanation:
Prob (Bld grp) ~ Bin (N, P)
N = 15, P = Prob of success ie 'O' blood type = 0.45
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
a. The probability that exactly three have blood type O is 0.03177
Calculation of the probability:Since
Prob (Bld grp) ~ Bin (N, P)
So
N = 15,
P = Prob of success ie 'O' blood type = 0.45
Now
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
So,
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
hence, The probability that exactly three have blood type O is 0.03177
Learn more about probability here: https://brainly.com/question/21102470
2. Evaluate the expression:
(5w^2+
+2) = (3p) for W= 4 and p = 3
At age 77, Eastman suffered from chronic pain due to a spinal condition. On March 14, 1932, after a reportedly jovial meeting with friends, he excused himself to write a brief letter before he 4535
Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour
pair of angles is an example of supplementary angles will mark brainest
Answer:
Angle 1 and Angle 7
Step-by-step explanation:
Angle 1 and angle 7 are supplementary angles. Angle 3 and angle 7 are corresponding angles and angle 1 + angle 3 = 180
Answer:
Angle 1 and angle 7Step-by-step explanation:
supplementary angles adds up to 180
angle 1 and angle 7 is an example of supplementary angles.
other options do not apply.
Is ABC= A DEF? If so, name the congruence postulate that applies.
Answer:
Congruent ASA
Step-by-step explanation:
We are given 2 angles and 1 side length. In order, first there is the angle, then side length, then another angle. The ASA postulate says that the triangle will be congruent.
I need help please
Range is y so we set -5x = whatever number you pick from the range values listed, so
-5x = -5 making x=1
-5x = 0 making x=0
-5x = 10 making x=-2
-5x = 15 making x=-3
The domain is {1,0,-2,-3}
Could someone give me an answer to this please ! :)
Answer:
8units
Step-by-step explanation:
Given parameters:
Area of triangle = 32units²
Base = 8units
Unknown:
height x of the triangle = ?
Solution:
The area of a triangle is given as;
Area = [tex]\frac{1}{2}[/tex] x base x height
Input the parameters and solve for the height;
32 = [tex]\frac{1}{2}[/tex] x 8 x h
32 = 4h
h = 8
height of the triangle is 8units
2 divided by 7/6 in simplest form
The density of oxygen is 1.429*10^-3 grams per cubic centimeter. How is this number written in standard form
Answer:
The density of oxygen in standard form is 0.001429 grams per cubic centimeter.
Find the slope of the line y=-3x+3
Answer:
Step-by-step explanation:
M = -3
y= mx +b
m stands for slope and -3 is in that position so -3 is your slope
Answer:
⇝ Slope = -3Step-by-step explanation:
The question is asking us to find the slope of the line y = -3x + 3.
Note that the equation is written in slope-intercept form:
y = mx + b
Where:
m = slope (coefficient of x)b = y-intercept (constant)For this problem the coefficient of x is -3, and the constant is 3.
Therefore, the slope is -3.
Help!!! Write the equation of the parabola in vertex from
Answer:
[tex]y=-\,(x+1)^2+3[/tex]
Step-by-step explanation:
Notice that the vertex of the parabola is at (-1, 3), so we can start the expression of the quadratic in vertex form as:
[tex]y=a\,(x--1)^2+3\\y = a\,(x+1)^2+3[/tex]
we can now find the coefficient "a" by using another point the parabola goes through, like for example (0,2):
[tex]y = a\,(x+1)^2+3\\2=a\,(0+1)^2+3\\2=a+3\\a=2-3\\a=-1[/tex]
So the final expression for the parabola in vertex form is:
[tex]y=-\,(x+1)^2+3[/tex]
1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
Mark randomly chose a snack, replaced it, and then chose another snack. What is the probability that Mark chose a bag of chocolate and then chose a bag of dried fruit?
Answer:
50%
its very likely tbh. I did that like in 5th grade, im probably wrong.
Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?
Answer:
392984
Step-by-step explanation:
Question 3 of 12
A jeweler needs exactly 19,000 beads to make jewelry.
He buys 48 boxes of beads. Each box has 400 beads.
He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.
48
×
400
=
(
40
×
400
)
+
(
8
×
400
)
=
16
,
000
+
3
,
200
=
19
,
200
Which explains what the jeweler does to support his conclusion
Answer:
See explanation
Step-by-step explanation:
Given
[tex]Needed = 19000[/tex]
Required
Support the jeweler's conclusion
From the question, we have that:
[tex]Boxes = 48[/tex]
[tex]Bead = 400[/tex] per box
So, he bought a total of:
[tex]Total = 48 * 400[/tex]
[tex]Total = 19200[/tex]
Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads
Please Help Me With This Math ;(
Original price of oil change is 38.95 discount is 32%
Answer:
If the discount is 32%, the new price would be $26.486
Step-by-step explanation:
To get the answer, you would need to multiply 38.95 * .32 which would equal 12.464.
12.464 is the 32% discount
38.95 - 12.464 = 26.486
Hope this helps and pls do mark me brainliest if you can:)
2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10
Answer:
0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4
Step-by-step explanation:
Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0
Example:
5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex] can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]All the numbers above are rational numbers
Let us find the rational numbers in our question
∵ 0 can be written as [tex]\frac{0}{1}[/tex]
∴ 0 is a rational number
∵ [tex]\frac{5}{7}[/tex] is a fraction
∴ [tex]\frac{5}{7}[/tex] is a rational number
∵ 3.6820350285........ can not be written in the form of the fraction
because we do not know its end (it is an approximated number)
∴ 3.6820350285........ is not a rational number
∵ -10 can be written as [tex]-\frac{10}{1}[/tex]
∴ -10 is a rational number
∴ 0, 5/7, and -10 are RATIONAL numbers