Answer:
Angle COD=40
Step-by-step explanation:
(2a+62)+ (54-a)+(5a-20)=180
6a+96=180
6a=84
a=14
Angle AOC=2(14)+62=90
Angle COD=54-14=40
Angle DOB=5(14)-20=50
Answer:
Angle COD, 40 degrees
Step-by-step explanation:
Alrighty, to start, Angle AOB is a 180 degree angle because it is a line.
Therefore, if we combine all of the variables and numbers together, we can set it equal to 180 degrees to find a.
2a+62+54-a+5a-20
6a+96=180
6a=84
a=14
Next, plug in this value into each of the given angles provided with variables and numbers:
Angle AOB:
2a+62
2(14)+62
28+62
90 degrees
Angle COD:
54-a
54-14
40 degrees
Angle DOB:
5a-20
5(14)-20
70-20
50 degrees
From this, it can be found that Angle COD has the smallest angle, with it being 40 degrees.
Suppose a city with population 340,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 20 years.
Answer:
Total population = 340000
Growing rate = 4%
Growing population = 340000×4/100
= 13600 per year
Now population increased in 20 years = 13600 × 20 = 272000 population.
Now ,
The population after 20 years = 340000+272000
=612000
So the population after 20 years = 612000
There are 3 red, 5 green, 7 blue, 1 black and 4 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green marble, then a red marble.
Answer:
Step-by-step explanation:
Initial condition:
3 red
2 blue
5 green
2/10 times 5/9=2/9 times 5/10 or 1/2 = 2/9 times 1/2=1/9
hope this helps have a good day too.
If x= 4, calculate the value of: 3x2 + 4x
Answer:
64Step-by-step explanation:
x = 4
Substitute x and calculate:
3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64Find the range of the data. 45,76,98,21,52,39
h(-3), h(5), h(2), h(0)
h(x) = {x+1, x<2
{2x-1, x>2
Solve these:
h(-3) =
h(5) =
h(2) =
h(0) =
Answer:
h(-3) = -3h
h(5) = 5h
h(2) = 2h
h(0) = 0
Options are:
X=2, Y=3
X=3, Y=2
X= -2, Y=3
X=4, Y=8
Answer:
x = 4, y = 8
Step-by-step explanation:
If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.
Thus;
2x - 5 = y - 5 (Eqn 1) and
y - 3 = x + 1 (Eqn 2)
Thus:
Rewrite equation 1
2x = y - 5 + 5
2x = y
Substitute y = 2x in equation 2.
y - 3 = x + 1 (Eqn 2)
2x - 3 = x + 1
Collect like terms
2x - x = 3 + 1
x = 4
Substitute x = 4 in equation 1
2x - 5 = y - 5 (eqn 1)
2(4) - 5 = y - 5
8 - 5 = y - 5
3 = y - 5
3 + 5 = y
8 = y
y = 8
help help exponents help
Answer:
3
Step-by-step explanation:
The base is the number below the exponent.
For which of the following is x=-5 a solution? Select all that apply.
A) x+10=-5
B) -x^2+50=25
C) |2x|=10
D) x<0
E) 2x<10
Answer:
B
D
E
[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]
Answer:
B and C
Step-by-step explanation:
Those 2 are the only ones that equal 5,-5
What is 4 27/50 as a decimal
Answer:
4.54
Step-by-step explanation:
How many times can you fill a 250ml cup from a 4 litre jar?
HELP ME PLEASEEEEEEEEEEEE
Answer:
A) 3.5 m
Step-by-step explanation:
3.5 x 2 = 7/2 = 3.5
Find the dot product of u and v.
9514 1404 393
Answer:
-4
Step-by-step explanation:
The dot product is the sum of products of corresponding coefficients.
u·v = (4)(-1) +(0)(2) = -4
u·v = -4
Please help me lol I need it picture should be below
9514 1404 393
Answer:
m∠Y = 40°
Step-by-step explanation:
The sum of complementary angles is 90°. If we let s and y represent m∠S and m∠Y, respectively, the angle measures in degrees satisfy ...
s + y = 90
(4y -110) +y = 90 . . . . . . . . substitute for s
5y = 200 . . . . . . . . . add 110
y = 40 . . . . . . . divide by 5
The measure of angle Y is 40°.
What is the volume of this triangular prism in cm^3? Image is in the png link. Ples help. :(
Write the equation of the circle with a center (5, -7) and radius = 7
Answer:
[tex](x-5)^{2} + (y+7)^{2} = 49[/tex]
Step-by-step explanation:
9514 1404 393
Answer:
(x -5)^2 +(y +7)^2 = 49
Step-by-step explanation:
The equation of the circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Putting (h, k) = (5, -7) and r = 7 into this form, your equation is ...
(x -5)^2 +(y +7)^2 = 49
Help! CAN anyone help? I’ll give Brainly!! It’s not 5.75% x 60,000... thank you
convert 12 1/2 to a precent A. B. 12.5% C. 125% D. 1,250%
Please help me this is for 40 points !!!!
What is the scale factor of this dilation?
9514 1404 393
Answer:
3/5
Step-by-step explanation:
The scale factor is the ratio ...
(image measure)/(original measure)
The diagram shows that the original measure of 5 becomes a measure of 3 on the image. The scale factor is 3/5.
over the weekend MRs. Kinston sold slices of cake at a bake sale fundraiser
anced
d
15. A two-digit positive number is such that the ones
digit is 2.5 times as much as the tens digit. If the
difference between the number and the number
obtained when the digits are reversed is 27, find
the number.
Answer:
The number is 52 or 25.
Step-by-step explanation:
The photo has the full solution
The number, when A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit, is 25.
What is the equation?In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit,
Write the equations of the statement as shown below,
Assume the one's digit is x and the ten's digit is y then,
x = 2.5y
(10y + x) - (10x + y) = 27
Solve the above equation and find the value of x and y,
10y + x - 10x - y = 27
-9x + 9y = 27
-x + y = 3
-2.5y + y = 3 (Plug value of x)
-1.5y = 3
y = 2
x = 2.5 × 2
x = 5
Number = 2 × 10 + 5 = 25
Thus, the number is 25.
To know more about equation:
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After the introduction of a new soft drink, 200 people are asked to take a taste test to see how it is being received. Of those who participated, 48 said they preferred the new soft drink, 112 preferred the old soft drink, and 40 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink
Answer:
Step-by-step explanation:
The possibility is 48/200
The probability of people preferred the new soft drink is 6/25.
To find the probability.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
Given that:
Total number of people taste test=200
Number of people who participated new soft drink=48
Number of people who participated old soft drink=112
Number of people who participated could not tell any difference=40
So, the probability of people preferred the new soft drink=
favorable outcome/total number of outcome
probability of people preferred the new soft drink=48/200
probability of people preferred the new soft drink=6/25
So, the probability of people preferred the new soft drink is 6/25.
Learn more about probability here:
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I need to finish this today! Please help!
Answer:
13 square inches
Step-by-step explanation:
Add both values for the area together to get your answer
small one is
1*1=1 square inch
large one is
4*3=12 square inches
Answer:
13
Step-by-step explanation:
area of the polygon = area of a rectangle +area of the square
area of the polygon = 3*4 +1*1 = 12+1 = 13 in²
The probability that no one is waiting in a given hour
Answer:
two people in an hour
Step-by-step explanation:
thats why I think that why no one is waiting
Answer:
Step-by-step explanation:
How many 1/3s are in 1 2/3?
Answer:
12
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3/3+2/3 = 5/3
Answer is 5
If you save $110 in one month, how much will you save in one year?
There is 12 months in a year so you need to multiply 12 by 110 which is 1320
Your answer is: 1320 saved in one year
Hope this helped :)
Here is the final problem jaded
Answer:
x = 12.99
Step-by-step explanation:
Tan(33) = [tex]\frac{x}{20}[/tex]
Tan(33) * 20 = x
12.99 = x
Hope this helps!
If you borrow $900 for 4 years at an
annual interest rate of 5%, how
much will you pay altogether?
Answer:
$995.04
Step-by-step explanation:
You pay $20.73 every month. $20.73 x 48 = $995.04
Answer:
i am going to assume that for interest you mean simple interest.
900*5%*4=180
180+900=1080.
if you mean compound interest...
900*(1+5%)^4=1094.0 (1.d.p)
find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-1/2x-4
Answer:
y = 2x - 3
Step-by-step explanation:
The negative recipricol is -1/(-1/2) = 2
Use point-slope equation:
y-y1 = m(x-x1)
x1 = 3, y1=3
y-3 = 2(x-3)
y-3 = 2x-6
y = 2x-3
a) Work out the size of angle x.
b) Give reasons for your answer.
Answer:
x = 75°
Step-by-step explanation:
Angle x and the angle measure 105° are same-side exterior angles. Same-side exterior angles are supplementary. Supplementary angles are angles measures that add up to 180°. So 180° - 105° = 75°. x = 75°
Answer:
75
Step-by-step explanation:
180° - 105° = 75°. x = 75°