Answer:
The size is 37.5 degrees
Step-by-step explanation:
The total angle in the triangle is 180
Since the other two angles are congruent. it means that they are equal
Let us call each of the angles x
Mathematically,
x + x + 105 = 180
2x = 180-105
2x = 75
x = 75/2
x = 37.5
Find the surface area of the prism below. Round your answer to the hundredth, place if needed.
Answer:
ABC DEFGHIJKLMNOPQRSTUVWXYZ
Answer:
131.28 cm2
Step-by-step explanation:
Hope this helps
410 is what percent of 65?
Answer:
15.85%
Step-by-step explanation:
you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.
Add the integers.
-6 + (-4) =( ?
B-2
C 2
D 10
Answer:
-10
Step-by-step explanation:
(-4,-7); slope = 1
Write in slope intercept form
Answer:
y=x-3
Step-by-step explanation:
What number can 2 and -6 both be divided by?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
because both are even numbers
hope this helps (:
Given that
a
= 6 cm and
b
= 11 cm, work out
θ
rounded to 1 DP.
Answer:
56.9°
Step-by-step explanation:
Assuming you mean a and b as the legs of a right triangle and θ as the bigger angle in a right triangle, we can work out easily that
cos θ = 6/11
so θ ≈ 56.9°(to 1 d.p.)
A random sample of 10 subjects have weights with a standard deviation of 11.0995 kg. What is the variance of their weights?
Answer:
[tex]123.19890025 kg^2[/tex]
Step-by-step explanation:
We are given that
Standard deviation, s=11.0995 kg
Sample size, n=10
We have to find the variance of their weights.
We know that
Variance=[tex](standard\;deviation)^2[/tex]
Using the formula
The variance of their weights
=[tex](11.0995)^2[/tex]
=[tex]123.19890025 kg^2[/tex]
Hence, the variance of their weights=[tex]123.19890025 kg^2[/tex]
The equation y = 1125(1.034)" can be used to approximate the number of cell phone users
who live in a certain city over time, where a represents the number of years after 2000.
Which of the following statements is true?
A
the rate of growth is 34%
B
there were 1125 cell phone users in 2000.
С
the rate of decay is 3.4%
D
In the year 2005, there were more than 1350 cell phone users.
Answer: B
there were 1125 cell phone users in 2000.
Step-by-step explanation:
The initial number of cell phone users is the front coefficient that is then multiplied by the growth factor.
So the initial number of cell phone users in 2000 was 1125.
Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% simple interest annually, how big was the initial deposit?
a. $2,524.50
b. $4,024.03
c. $4,250.00
d. $11,404.88
Answer:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.Solving our equation:
P = 6774.5 / ( 1 + (0.027 × 22)) = 4250P = $4,250.00The principal investment required to get a total amount, principal plus interest, of $6,774.50 from simple interest at a rate of 2.7% per year for 22 years is $4,250.00I do exams and quizzes if your interested!The initial deposit amount is $4,250.00.
Given that,
The worth of an investment is $6774.50The time period is 22 years. The rate of interest is 2.7%.Based on the above information, the calculation is as follows:
We know that
[tex]SI =P\times R\times T\\\\SI = P\times 2.7\% \times 22\\\\SI = 0.594P[/tex]
Now
Investment worth = P + SI
= P + 0.594P
= 1.594P
So,
1.594P = 6774.50
P = $4,250
Therefore we can conclude that the initial deposit amount is $4,250.00.
Learn more: brainly.com/question/13324776
find the length of side x in simplest radical form with a rational denominator 60 30 x 2
Answer:
x = √3
Step-by-step explanation:
Looking at the given triangle,
x is the adjacent side while 2 represents the hypotenuse side.
Now, from trigonometric ratios, we know that;
Adjacent/hypotenuse = cos θ
The angle here will be 30°
Thus;
x/2 = cos 30°
We are told to find x in simplest radical form with a rational denominator.
Thus means we will use the surf value of the angle.
cos 30° in surd form = (√3)/2
Thus;
x/2 = (√3)/2
x = 2 × (√3)/2
x = (√3)/1
x = √3
Of the 16 students in the school orchestra, 12.5 % play the violin. How many students in the orchestra play the violin?
Answer:
2
Step-by-step explanation:
16 -> .16
.16×12.5=2
You just move the decimal point 2 times and multiply by the percentage
Answer:
2 students
Step-by-step explanation:
12.5% = 0.125
Multiply this by 16:
16 * 0.125 = 2
12 + 5/3 b + 1 1 − 18 = 20
Answer: b = 9
Step-by-step explanation:
Given
12 + 5/3b + 11 - 18 = 20
Combine like terms
(12 + 11 - 18) + 5/3b = 20
5 + 5/3b = 20
Subtract 5 on both sides
5 + 5/3b - 5 = 20 - 5
5/3b = 15
Divide 5/3 on both sides
5/3b / (5/3) = 15 / (5/3)
b = 9
Hope this helps!! :)
Please let me know if you have any questions
11/5=_÷_
PLEASE MY SISTER NEEDS HELP TODAY!!!!!!!!
And also will get brainliest if you tell me how.
Answer:
11/5 = 11 ÷ 5
Step-by-step explanation:
11/5 is a fraction, and every fraction is just a division problem.
Answer:
11/5=11÷5.
You just take the numbers from the fraction and put them into a division equation.
Is the following function discrete, continuous, or neither?
continuous function
is correct :D
The sum of the digits of a two-digit nunber is 7. When you reverse the digits of the original number the new number is 27 more than the orginal number. What is the value of the original number?
Answer:
25
Step-by-step explanation:
2+5=7
25 reversed is 52
52-25=27
Answer:
25
Step-by-step explanation:
2+5=7
25 reversed is 52
52-27=25
Brent's neighborhood is putting down new mulch at the playground and he is in Charge of buying the mulch. One bag covers 3 yd.². How many bags will he need?
Answer:
I don't know but 4 could be it
Step-by-step explanation:
Find the volume of the sphere. Use 3.14 for π. Round to the nearest hundredth.
Answer:
555.37
Step-by-step explanation:
V = 4/3 πr^3
James, Ryan and Jill share £120 in the ratio 3:2:1.
Find out how much each person recieves.
Answer:
James = £60, Ryan = £40 and Jill = £20
Step-by-step explanation:
James - 3, Ryan - 2 and Jill - 1
3 + 2 + 1 = 6
£120 / 6 = 20
Times 20 by each of the three numbers (3, 2 and 1)
3 x 20 = £60 (James)
2 x 20 = £40 (Ryan)
1 x 20 = £20 (Jill)
Answer:
James gets £60
Ryan gets £40
Jill gets £20
Step-by-step explanation:
Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20
All these should add up to your original sum and if they do you know you've done it right!
3x 1 1/2 enter as mixed number
Answer:
16 1/2
Step-by-step explanation:
3*11/2
=33/2
=16 1/2
Put a digit in the gap, such that the answer is a whole number
10x+11=144...
Answer:
the answer is 1
Step-by-step explanation:
If you do 1441-11 you get 1430.
no other number gives you 0.
Gin bakes a perfectly circular pizza with a diameter of 10 inches, and he selst for $0.20 per square inch What is the cost for
the entire pizza? Express your answer to the nearest whole ola
Plz help
Answer:
$15.70
Step-by-step explanation:
The formula for a circle's area is πr^2 and so the radius is 10/2 or 5. 3.14*5^2 is 78.54. Multiply this by $0.20 to get the total cost of the pizza. The total cost is $15.70.
7 + 2X = 5
3
..... zzzzzzzz
Answer:
23
Step-by-step explanation:
please mark brainliest
Answer:
x = 23
Step-by-step explanation:
7 + 2x = 53
7 + 2x - 7 = 53 - 7
2x = 46
2x / 2 = 46 / 2
x = 23
Hope this helps
Maybe brainliest?
BRAINLIST!!!
Rochelle heard on the radio that today's temperature is higher than it was yesterday. Yesterday's high temperature was reported as 73 °F.
Create an inequality on the number line of today's temperature.
Answer:
the inequality will be X > 73
Step-by-step explanation:
X - 10= 7 x=_____ help
Answer:
17
Step-by-step explanation:
Choose all the fractions that are in simplest form. 4/26 8/21 6/19 9/10 10/22
Answer:
8/12, 6/19 and 9/10!
Step-by-step explanation:
All of them cannot be simplified.
but the rest can like
4/26 can be simplified by 2
and 10.22 can be simplified by 2
Which value would make the inequality false? Inequality: a ≥ 18
33
17
21
19
Please help me
Answer: 17
Because it is less than 18
Making the equation false
Solve. 8 - 2d = c 4c + 3d = 2 c=4 d = -6 C=-4 d = 6 C=4 d = 6 C=-4 d = -6
Answer:
c = -4 d = 6
Step-by-step explanation:
8 - 2d = c 4c + 3d = 2
4(8 - 2d) + 3d = 2
32 - 8d + 3d = 2
32 - 5d = 2
-5d = -30
d = 6
8 - 2(6) = c
8 - 12 = -4 = c
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. 3x-2y=9 and x-y=5
Answer:
(-1,-6)
Step-by-step explanation:
Use substitution
y=x-5
3x-2(x-5)=9
3x-2x+10=9
x=-1
Plug it in
(-1)-y=5
-y=6
y=-6
NEED HELP ASAP
The Ramirez Family is planning to put an above ground swimming pool in their back yard. Their yard is a 38 ft by 58 ft rectangle and the pool will be a circle with a diameter of 16 ft, as shown below. They will fill the rest of their yard with grass.
Answer: It would be approximately 2000 ft.
Step-by-step explanation:
Find the total surface area of the rectangular prism