Angles in a triangle
Answer
1=62
2=45
3=24
Angle 1
1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).
1+118=180
180-118=1
1=62
Angle 2
The angles in a triangle add up to 180 degrees.
You know that angle 1 is 62 degrees.
And the other angle is 73 degrees.
You can now find angle 2.
62+73+2=180
2=180-62-73
2=45
Angle 3
Angle three is in a different triangle.
You already know that the angles in a triangle added up are 180 degrees.
The other missing angle in the triangle can be found by subtracting 73 from 180.
180-73=107
Now you know that two of the angles in the triangle are 107 and 49.
You can now find angle 3.
107+49+3=180
3=180-107-49
3=24
Which of the following represents y as a function of x?
Answer:
The table only represent s y as function of x
Solve for x.
ASAP, please help me
Answer:
8
Step-by-step explanation:
180=90+40+6x+2
180=132+6x
48=6x
x=8
Answer:
x=4 i think havent done this in a long time
Step-by-step explanation:
What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?
y=1/4x−5
y=1/4x+5
y=1/4x−11
y=1/4x+1
Answer:
y=1/4x+1
please mark as brainliest
A bowl holds the 10 pieces of fruit shown below.
If Jasmine writes the fraction of fruit that are apples and does not reduce the fraction, which of the following would be the numerator of the fraction?
Answer: 10
Step-by-step explanation: 10 is the total number of all the fruits so that is what you are dividing by
Answer:
Step-by-step explanation:
A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown cow?
Answer:
D
Step-by-step explanation:
A teacher is 5 feet 8 inches tall and she shrinks to 9 inches. How tall will her pencil be if it undergoes the same scale shrink and was originally 12 inches?
A) 1.59 inches
B) 1.86 inches
C) 2.68 inches
D) 6.8 inches
Answer:
c
Step-by-step explanation:
2.68
Divide the following complex numbers:
(3+ i) / (2-3i)
O A. - 3 - 1
O B. 1 3 - 1
}
C
9 11
+
13 13
D.
3 11
5
Answer:
Standard complex form 3/13 + 11/13i
Step-by-step explanation:
not sure if this helps
A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?
Answer:
20 $50 bills
8 $10 bills
Step-by-step explanation:
Find how many $10 and $50 bills are in the cash register.
Make a systems of equations:
t = Amount of $10 bills
f = Amount of $50 bills
10t + 50f = 1080
t + f = 28
Lets solve for $50 bills first:
10t + 50f = 1080
-10(t + f = 28) = -10t - 10f = -280
----------------------
Solve for f:
10t + 50f = 1080
-10t - 10f = -280
40f = 800
Divide both sides by 40.
f = 20
There are 20 $50 bills.
Now we need to find how many $10 bills are in the register.
Plug in 20 to "f" in one of the equations and solve for "t".
Solve:
t + 20 = 28
Subtract 20 from both sides.
t = 8
There are 8 $10 bills.
Your answer should be:
20 $50 bills
8 $10 bills
2x + 8=12 what is the value of 4x + 2
Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
6/2 or 3/0 I dont know if this is right I'm really not sure but the sums look right except for the fact that you can simplify down to 3/0 overall I think its ok
Step-by-step explanation:
39+24+33 = 96
11+13+8 = 32
96/32 simplified down = 6/2 = 3/0
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
Write as a polynomial: 2a^2(a-1)(3-a)
Step-by-step explanation:
HI tkando45
To write as a polynomial, just multiply every term int he first parenth by every term in the second parentheses.
It is like distributing:
For Example
a2(a-4) - 2a(a-4) + 3(a-4)
a3 - 4a2 - 2a2 + 8a + 3a - 12
Now combine like terms:
a3 - 6a2 + 11a -12 <---- that is your polynomial
now use the above examples and calculate ur question
Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D
Answer:
c 4
Step-by-step explanation:
Help do this if possible kk rlly stuck
X^2 – 11x + 18 = 0
Answer:
x = - 9, x = 2
Step-by-step explanation:
[tex] {x}^{2} - 11x + 18 = 0 \\ \\ {x}^{2} - 9x - 2x + 18 = 0 \\ \\ x(x +9 ) - 2(x + 9) = 0 \\ \\ (x + 9)(x - 2) = 0 \\ \\ x + 9 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 9 \: \: or \: \: x = 2 \\ [/tex]
△ KLM ∼ △ KCB . What is the value of x?
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Since the two triangles are similar, write the following proportion:
[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]
Cross-multiply and solve:
[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].
Fifteen pieces of paper are numbered 1 to 15 and placed in a container. One piece of paper is selected at random, then replaced. The second piece of paper is selected at random. What is the probability that the first piece of paper is marked with a number less than 5 and the second piece of paper is marked with a 12?
12/15 and 1/15 is the prob
NEEED HELP QUICK PLS PLS pls pls pls .
Answer:
step 4 is correct because h-¹(x)=2x+5
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. Suppose oil is drained at a
rate of 1.5 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
[tex]8\:\mathrm{minutes}[/tex]
Step-by-step explanation:
The volume of a cylinder is given as:
[tex]r^2\cdot\pi\cdot h[/tex]
Since the diameter is [tex]2.2[/tex], the radius is [tex]\frac{2.2}{2}=1.1[/tex].
Therefore, the volume of this cylinder is:
[tex]1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}[/tex], using [tex]\pi=3.14[/tex] as requested in the problem.
Since the tank is emptied at a constant rate of [tex]1.5\:\mathrm{ft^3\:per\:minute}[/tex], it will take
[tex]\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$}[/tex] to empty the tank.
2/3 equivalent fractions what is 2/3 equivalent fraction
Answer:
4/6
Step-by-step explanation:
Answer:
4/6
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
She will have to pay back the principal amount of $28,000 plus $728.00 in interest for a total of $28,728.00
Step-by-step explanation:
Interest = principal x interest rate x time period
Interest = 28,000 x .013 x 2
Interest = $728
Total payback amount = principal + interest
Total payback amount = 28000 + 728
Total payback amount = $28,728.00
I hope this helps!
-TheBusinessMan
Which of the following is a proportion? 9/12 = 8/10 3/4 = 9/12 6/8 = 8/12 12/18 = 19/16
Answer:
3/4=9/12
Step-by-step explanation:
3x3= 9
4x3= 12
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
HopeItHelps you
#CarryOnLearning
can u pls help me with this question asap
Answer:
$14670
Step-by-step explanation:
Selling price of the house = $326000
Commission rate of the agency = 4.5%
Commission amount earned by the agency = 326000 × 0.045
= $14670
Commission rate of the agent = 20% of commission earned by the agency
= [tex]\frac{20}{100}\times 14670[/tex]
= $2934
Therefore, agency made $14670 on the house.
Simplify the following expression 5^-3
Answer 1/25 or decimal 0.008
Step-by-step explanation:
Answer:
0.008
Step-by-step explanation:
helo
If the graph of y = Ixl is translated so that the point (1, 1) is moved to (1, 4), what is the equation of the new graph?
Answer:
y = |x| + 3
Step-by-step explanation:
The point moved up the y-axis positive 3 units.
Amy purchased a brand–new mountain bike, which she's riding through the winding trails. The bike's displacement is given by
s(t) = t3 − 2t2 + 3. What is the bike's acceleration after three minutes?
Answer:
a = 14 m/min²
Step-by-step explanation:
The displacement of bike is given by :
[tex]s(t)=t^3-2t^2+3[/tex]
Velocity, [tex]v=\dfrac{ds(t)}{dt}[/tex]
Finding velocity of the bike.
[tex]v=\dfrac{d}{dt}(t^3-2t^2+3)\\\\=3t^2-4t[/tex]
Acceleration, [tex]a=\dfrac{dv(t)}{dt}[/tex]
[tex]a=\dfrac{d}{dt}(3t^2-4t)\\\\=6t-4[/tex]
At t = 3 minutes,
a = 6(3) - 4
= 18-4
= 14 m/min²
So, the bike's acceleration after 3 minutes is 14 m/min².
I will give brainiest to whoever answers correctly !!
Answer:
$10511.075
Step-by-step explanation:
Given :
Interest rate, r =. 1.25% = 0.0125 compounded semianually
Principal = 10000
Number of years, t = 4 years
Compound interest :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
n = 2 (quarterly)
A = 10000(1 + 0.0125/2)^2*4
A = 10000(1 + 0.00625)^8
A = 10000(1.00625)^8
A = 10000 * 1.051107529
A = 10511.075
Final. Amount to. Be repaid = $8515.13
Given f(x) = -4x + 7 and g(x) = x3, choose
the expression for (fºg)(x).
Answer:
Solution,
Given,
f(x) = -4x + 7
g(x) = [tex]x^{3}[/tex]
Now,
fog(x) = f{g(x)} = f([tex]x^{3}[/tex]) = -4[tex]x^{3}[/tex]+7
The number of DVDs sold at a store in a month was 925 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 507 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months.
Write a system of equations by filling in the blanks:
d= _ t+ _
d= _ t+ _
Solve the system of equations using the substitution method. Complete the sentence to describe the solution.
There will be _ DVDs and Blu-Ray discs sold per month in _ months
Answer:
See belowStep-by-step explanation:
DVDs
d = 925 - 12tBlu-rays
d = 507 + 26tSolve the system:
925 - 12t = 507 + 26t26t + 12t = 925 - 50738t = 418t = 418/38t = 11Number of disks sold in 11 months:
925 - 12*38 = 469There will be 469 DVDs and Blu-Ray discs sold per month in 11 months