Answer:
Its B
Step-by-step explanation:
Line p is parallel to line q. Which proof explains why the sum of the interior angles of the triangle must be 180⁰?
Answer:
See proof below
Step-by-step explanation:
Find the diagram attached.
From the diagram, sum of angle on the straight line l is 180degrees that is:
<A' + <B' + <C' = 180° .... 1
Also note that
<A = <A' (corresponding angle) ...2
<B = <B' (corresponding angle) ... 3
<C = <C' (vertically opposite angle) ...4
Substitute 2, 3 and 4 into 1, we will have:
A+B+C = 180°
This shows that the sum of the interior angles of the triangle A B and C is 180°
How much money would you have if you invested $2500 at 5.75% annual interest, compounded quarterly for 5 years
Answer:
[tex]A\simeq3325.91[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2500
[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]
t = 5
n = 4 (quarterly in a year)
Then,
[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
The radius of a sphere measures 2 units. What is its surface area? S = 4πr2 S = 4π(2)2 Surface area=
Answer:
16π or 50.3 units
Step-by-step explanation:
the formula for the surface area of a sphere (as you mentioned) is:
4πr²
So if we plug in the given value (2) for r:
4π×2²=16π
Answer:
16
Step-by-step explanation:
I got it right
Help pls?!!!! For brainlest and extra points
Answer:
12cm squared
Step-by-step explanation:
The area of a triangle is 1/2bh
A = 1/2 x 4 x 6
A = 4 x 3
A = 12 cm squared
Answer:
The answer is B: 12 cm^2.
Step-by-step explanation:
The formula for the area of a triangle is b * h / 2 (base times height divided by two).
6 * 4 = 24
24 / 2 = 12
And since we're looking for area, the answer would be squared, as all areas are.
The answer: 12 cm^2.
Brainliest would be really really greatly appreciated!!!!
inventa un objeto geométrico, defínelo y expresa cómo lo representarías verbal, simbólica y gráficamente. Da ejemplos que cumplan las condiciones para que sea posible reconocerlo por medio de la definición y no ejemplos.
Help please!! :)))) Thanks!
Please help! I will mark brainliest.
Answer:
the correct answer is D 175
Enter the value of p so that the expression 4(n + 8) is equivalent to (n + p)4.m
Answer:
8 is the value of p
Answer:
n=0 p=8
Step-by-step explanation:
What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)
Answer:
I want to say B or D please tell me if I'm right lol
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
Please helpp
Extra points and brainleist
Answer:
D
(x+3)^2=4(x+3)(x+3)=4x^2+3x+3x+9=4x^2+6x+9=4x^2+6x=4-9x^2+6x=-5x^2+6x+5=0A bag contains 8 green M&Ms, 12 blue M&Ms, and 2 orange M&Ms. What is the
probability of choosing a green M&M, eating it, and then choosing a blue M&M?
Please help me this is turn in tomorrow please.
Answer:
16/77 or about 21%
Step-by-step explanation:
P(G,B) = 8/22 x 12/21 = 16/77 (simplified)
In the data set shown below, what is the value of the quartiles?
{56, 58, 64, 68, 72, 75, 78}
A. Q1 = 58; Q2 = 68; Q3 = 73.5
B. Q1 = 61; Q2 = 68; Q3 = 73.5
C. Q1 = 75; Q2 = 68; Q3 = 58
D. Q1 = 58; Q2 = 68; Q3 = 75
Answer:
its either b or d not 100% sure though so im sorry if im wrong
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
which expression is equivalent to the one below
Solve the expression below. 3/7÷2 1/2
Answer:
6/35
Step-by-step explanation:
3/7 : 2 1/2
2 1/2 = (2*2+1) / 2 = 5/2
3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35
The volume of a sample of oxygen is 200.0 mL when the pressure is 3.00
atm and the temperature is 310 K. What is the new temperature if the
volume increases to 400.0 mL and the pressure decreases to 2.00 atm?*
322.3K
482.8 K
O 413.3K
686.0 K
9514 1404 393
Answer:
C 413.3K
Step-by-step explanation:
Temperature is proportional to volume and pressure. Pressure has decreased by a factor of 2/3, and volume has increased by a factor of 400/200 = 2. So, the new temperature is ...
(310 K)(2/3)(2) = 413 1/3 K ≈ 413.3 K
Write the equation 8x-2y=10 in slope intercept form.
Answer:
[tex]y=4x-5[/tex]
Step-by-step explanation:
Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:
[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]
3x²-7x+4=0
can yall help me
Answer:
I think it
[tex]X1 = 1.333\\X2 = 1\\\\[/tex]
help me plsssss i rlly need helppppp i'll give brainliestttt
What number is 0.01 more than 253.498?
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
Learn more about concept here:
brainly.com/question/14491091
#SPJ2
How do you write 4.789x10^7 in standard form?
Answer: 47890000
Step-by-step explanation:
4.789*10^7=4789*10^4=4789000
Answer:
47,890,000
Step-by-step explanation:
Answer choices
a
b
c
d
Answer:
Either A or D
Step-by-step explanation:
I got It right Hope it helps this you guys
A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?
Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10
Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).
12) If there was a tax of 7%, what is the final deconstructed percent? *
7 points
107%
1.07%
7%
93%
A(n) is a written agreement between different parties.
A. contract
B. commitment
C. month-to-month
D. annual commitment
Answer:
A. contract
Step-by-step explanation:
In which direction does the left side of the graph of this function point?
fx) = 3x - x²+4+- 2
The model represents an inequality. What is the solution set for the inequality?
F). x ≤ -5
G). x ≤ 5
H). x ≤ 1
J). x ≤ -14
Answer:
-5
Step-by-step explanation:
4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5