Answer:
m∠B = x
m∠A = 4x
x + 4x = 180
5x = 180
x = 180/5
x = 36
m∠B = x = 36°
m∠A = 4x = 4 * 36 = 144°
Answer is b. 144, 36
Step-by-step explanation:
PLEASE HELP!!!!!
I have a time limit
Answer:
Step-by-step explanation:
angle 1 is a central angle because the vertex is at the center of the circle and the central angles have same measure as the arc it inscribes, so
arc AB =30 °
Answer:
60
Step-by-step explanation:
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
9514 1404 393
Answer:
5/8
Step-by-step explanation:
Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.
r = 480/768 = (5·96)/(8·96) = 5/8
The common ratio is 5/8.
3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.
Dividing each term in the given series by 0.315 reveals a simple geometric sum,
0.315 (1 + 1/1,000 + 1/1,000,000 + …)
or
0.315 (1 + 1/10³ + 1/10⁶ + …)
or
[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]
i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that
[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]
if |r | < 1. This is the case here, so
0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)
… = (315/1000) / (999/1000)
… = 315/999
… = 35/111
Can you figure out what the area of this shape is?
Answer:
22 units
Step-by-step explanation:
split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units
A square based prism and a cylinder both have
the same height of 12 in. and the same base
area. The volume of the cylinder is 3768 in.?
Based on the concepts of Cavalieri's principle,
what is the perimeter of the base of the prism?
Answer:
Parameter of base = 70.88 inch (Approx.)
Step-by-step explanation:
Given:
Volume of cylinder = 3768 cubic inch
Height of Prism = 12 inch
Find;
Parameter of base
Computation:
Volume of cylinder = Volume of Prism
3768 = (L)(B)(H)
3768 = (L)(B)(12)
(L)(B) = 314
L = B
So.
L = 17.72 inch
B = 17.72 inch
Parameter of base = 2[l+b]
Parameter of base = 2[17.72 + 17.72]
Parameter of base = 70.88 inch (Approx.)
Plz help me solve this
Answer: x=-3
Step-by-step explanation:
First let's eliminate the square root
[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]
Now subtract [tex]x^2\\[/tex] from both sides
[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]
Subtract 2 from both sides
[tex]-5x+2-2=17-2\\-5x=15[/tex]
Finally divide both sides by -5
[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]
A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee
Answer: 0.6
Step-by-step explanation:
Given
There are 3 women and 3 men available to form a 2 member committee.
No of ways, a man can be chosen are [tex]3[/tex]
Similarly, no of ways a woman can be chosen are 3
Therefore, probability of choosing 2 members i.e. 1 man and 1 women is
[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]
If the order matter, then
[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]
The probability that 1 woman and 1 man will be chosen is "0.6".
According to the question, the club has nominated:
Number of women = 3 Number of men = 3Now,
→ The number of ways to select two persons from 6 will be:
= [tex]\binom{6}{2}[/tex]
hence,
The probability that one woman and one man will be chosen will be:
→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]
[tex]= 3\times \frac{3}{15}[/tex]
[tex]= \frac{9}{15}[/tex]
[tex]= 0.6[/tex]
Thus the above answer is right.
Learn more:
https://brainly.com/question/13419138
how do i solve this problem
Answer:
Exponential function have a horizontal asymotote. The equation of the horizontal asymptote is y=0.Step-by-step explanation:
Help me please. Plzzzz.
Helpqquuuiiiiccckkkkk
Here's some help. Hope this works.
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
In a class of 26 students, 14 have a cat and 7 have a dog. There are 5
students who have a cat and a dog. What is the probability that a
student chosen randomly from the class does not have a dog?
Answer:
9/26
Step-by-step explanation:
Im sorry, but probablity is quite hard to explain, but I'll try my best. So what you know is that there are a total of 26 students right? Out of these 25, 14 have at least a cat, and 7 have at least a dog. But 5 of them have a cat and a dog. This means that 14-5, and 7-5, are for only a cat and only a dog respectively. So, people with only a cat don't have a dog, meaning that 14-5, which is 9 people only have a cat. Therefore, out of the 25 people, only 9 don't have a dog, making the probablitly 9/25.
:)))))))))))))))))))))))))))))
whatcha of the following is the quotient of
Answer:
(2y+3)
Step-by-step explanation:
The radius of the circle whose equation is (x - 3)2 + (y + 1)2 = 16 is: 4
Answer: x=10-y
Step-by-step explanation:
HII CAN SOMEONE PLEASE HELP ME, this is my final exam ... Which equation describes the line with slope 4 that contains the point (7,2)?
A. y + 2 = 4(x + 7)
B. y - 7 = 4(x - 2)
C. y+ 7 = 4(x + 2)
O D. y - 2 = 4(x - 7)
Answer:
I believe it is D
Step-by-step explanation:
I used desmos
Answer:
D
Step-by-step explanation:
Due to the coordinate being positive in both x and y, then you know by putting the numbers in the equation that they will bot subtract from their variable
-2 (x + 3z) + 4x - 3y + 2z
Answer:
-2 (x + 3z) + 4x - 3y + 2z
-2x-6x+4x-3y+2z
2x-4z-3y
hope it helps...
have a nice day!
Answer:
please answer is then you thanks me
Step-by-step explanation:
-2(x + 3z) + 4x - 3y +2z
-2x -6z + 4x - 3y + 2z
=2x - 4z - 3y
How many-foot pieces of wood
can you cut from a board that is
6 feet long?
Answer:
6
Step-by-step explanation:
Foot long = 1 foot
6 / 1 = 6 foot pieces
Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at
Answer:
16=/-4+3+2
16=/-1jhcdf why
hyee852iok
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
pls help me out in this assignment PLSSSSS anyone plss
Answer:
what number?
number three or number two
plssss don't rude mee plsss
plss help me in my testtt
I need help asp please!!
use the following picture to classify the following statements as true or false
need help pleaseeeee
Question 5(Multiple Choice Worth 2 points)
(01.06)
Simplify square root of negative 48.
negative 4 square root of 3
4 square root of negative 3
4 i square root of 3
4 square root of 3 i
Answer: 4 i square root of 3
5. In the figure Find X (In the picture) (giving points to best answer/brainlest)
Answer:
x=93°
Step-by-step explanation:
the lower left interior angle of the triangle is 39° because it is an alternate-interior angle to the one marked as 39°
the lower right interior angle is 180-132, which is 87°
therefore, x=93° because the three angles must add to 180°
(3/6) to the power of 2 + 7 x 4 - 5
Answer:
0.00000003
Step-by-step explanation:
2+ 7 * 4 - 5 = 25
(3/6) ^ 25 = 0.00000003
match each step to its justfication to solve 2x+5=19.
Step-by-step explanation:
x=7 (given)
2x=14 (divide)
2x+5-5=19-5 (subtraction property of equality)
2x/2=14/2 (divide)
2x + 5=19 (division property of equality)
Match each three dimensional figure to its volume based on the given dimensions.
please attach a diagram
Write an equivalent expression for: 5(5x - 9) *
Answer:
25x - 45
Step-by-step explanation:
Answer:
25x - 45
Step-by-step explanation:
5 ( 5x - 9)distributing 5 through parantheses
5 × 5x - 5 × 925x - 45