Step-by-step explanation:
step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram
step 2. triangle RST is a right triangle so we can use trigonometry to find <S
step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos
step 4. cosS = adj/hyp = ST/RS = 2.7/4.9
step 5. <S = 56.6° using inverse cos.
Answer:
42.43
Step-by-step explanation:
This is because you had to divbide by 3
MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE
Answer:
54
Step-by-step explanation:
2/3(7-16)^2
2/3(-9)^2
2/3*81
54
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed
Answer:
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.
This means, respectively, that [tex]k = 5, N = 18[/tex].
9 vessels are randomly targeted and destroyed
This means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]
[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
The price of an item has been reduced by 40%. The original price was $35. What is the price of the item now?
Answer:
$21 is the correct answer
Answer:
Step-by-step explanation:
First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35
0.35 (40) = 14
35 - 14 = 21
So, the discounted price is now $21.
WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.
Answer:
a. y= 4 + 0.50x b. y= 1.00x
Step-by-step explanation:
Answer:
a. y = 0.5x +4 b. y = x
Step-by-step explanation:
a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.
m = $0.50 per mile
b = $4 per ride
y = 0.5x +4
b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
m = $1 per mile
b = $0 per ride
y = x
Which one is not a characteristic of all parallelograms?
Answer:
Consecutive angles are supplementary is not character of parallelograms
5/6 + (-4/9) - (-2), is this right??
Answer:
YES SIR OR I MEANT YES MAM
Solve for x (use steps i need to learn this pls)
Answer:
x = 14
Step-by-step explanation:
The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:
24*x = 21*16
24x = 336
Divide both sides by 24
24x/24 = 336/24
x = 14
Find the area of the semicircle. Round your answer to the nearest hundredth. YEAH IVE BEEN STUCK ON THIS help please I need the steps if possible:(
Answer:
your answer will be 127.17 sq in
Step-by-step explanation:
hope it helps you
have a wonderful day!!!
Answer:
=127.23
Step-by-step explanation:
we can start of by finding the area of a CIRCLE
18/2=9
9=radius
area of circle= pi*r squared
9 squared=81*pi=254.4690
Now we can half the area of the circle to find out the area of the semi circle as a semi circle is just half a circle therefore half the area of a circle
254.469/2=127.2345
127.2345=127.23
=127.23
Hope this helped
What is the area of this figure?
Enter your answer in the box.
___in^2
Answer:
400
Step-by-step explanation:
8*20/2+16*20=400.
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft
Answer:
0.43 ft/hr
Step-by-step explanation:
dv/dt = 15ft³/hr
Height = 10ft
We are required to get dh/dt
h = 3r
r = h/3
Formula for volume = 1/3πr²h
We put value of h
1/3π(h/3)²h
= 1/3π(h²/9)h
= 1/3πh³/9
= πh³/29
dv/dt = 1/27π.3h²dh/dt
= dv/dt = πh²/9dh/dt
Remember dv/dt = 15
When we put this in we get
dh/dt = 15x9/3.142x10²
= 135/314.2
= 0.43 ft³/hr
Please check the attachment I added also to add you.
Help please thank uuuu
Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
Which expression correctly represents 10 times the difference of a number and six
Answer:
10(6 - x) or 10(x - 6)
Step-by-step explanation:
Let the number be x.
Answer: 10(6 - x) or 10(x - 6)
2(3x - 32y) + 3(-2x - 4y)
The mass of the Sun is about 2 × 10^27 metric tons, or 2 × 10^30 kilograms. How many kilograms are in one metric ton?
Answer:
[tex]\frac{2 * 10^{30} }{2 * 10^{27} } = 10^{3} kg[/tex]
Ignore the answer I chose it didn't let me click off of it
Answer:
d i think
Step-by-step explanation:
Find the identical expression for the following plz show work
The students in your class are going on a field trip. The ratio of teachers to students must be 1 to 7.
Which graph shows the number of teachers needed for 28 students?
Answer:
4 teachers for 28 students
Step-by-step explanation:
28/7 = 4
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of 24?
1/2
473
B
5/6 = 75
7/8
Enter
Answer:
75
Step-by-step explanation:
alternate interior angles are always equal, so that means 6 = 4 = 75.
Work out the percentage change to 2 decimal places when a price of £200 is increased to £210.99.
Answer:
Let percentage be x%
According to the question
200+x%of 200=£210.99
X%of 200=£210.99-200
X/100×200=10.99
X=10.99/2=5.495% is required percentage.
Step-by-step explanation:
Please help!! PLEASE!!!
Answer:
30%
Step-by-step explanation:
subtract the post-discount price from the pre-discount price
64.99 - 45.49 = 19.50
divide the answer by the original price
[tex]\frac{19.50}{64.99}[/tex] = 0.30
multiply the answer by 100
0.30 x 100 = 30%
to check:
take the original number and multiply it by the decimal form of the percentgae:
64.99 x 30% (0.30) = 19.50
take the answer and subtract it from the orginal answer
64.99 - 19.50 = 45.49
2) The number of rose blooms in Betty's garden is 24 more than the number of blooms in May's garden. There
are at least 135 rose blooms in Betty's garden. How many blooms are possible in May’s garden?
Answer:
There are at least 111 rose blooms in May's Garden.
Step-by-step explanation:
135-24 is 111 and Betty doesn't have a maximum of rose blooms so that means she can have an infinite amount but it also means that may can't have less than 111.
Please let me know if I am incorrect
How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99
Answer:
299.25
Step-by-step explanation:
Im pretty sure this is correct!!
Answer:
$100
Step-by-step explanation:
399.99 * 0.25 = 99.9975 (100)
399.99 - 100 = 299.99
$299.99 = Cost after discount
Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z
Answer:
N, O, S, Z, which will be B
Step-by-step explanation:
Hey guys I need help asap
A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?
Answer:
$28.8
Step-by-step explanation:
6x32=192
15% of 192 is 28.8
HHHEEELLLPPPPP MMMMMMEEEEEE!!!!!!
Which is the graph of the function g(x)=−x^2−4x−1?
Answer:
its a, the first one
Step-by-step explanation:
i graphed it have a good day (:
What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
Answer:
Center is (7,-6)
Our radius is 4
Step-by-step explanation:
Subtract 69 to both sides
Complete the square of the x terms and y terms.
[tex] {x}^{2} + 14x[/tex]
[tex] {y}^{2} - 12y[/tex]
(To complete the square divide the coefficient by 2 and square it).
[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]
[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]
Add those terms to the full equation. Add 36 and 49 to the right side as well
[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]
Simplify the x and y terms into a binomial.
[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]
Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
[tex]y - 6 = 0[/tex]
[tex]y = 6[/tex]
[tex]16 = {x}^{2} [/tex]
[tex]4 = x[/tex]
So our center is (-7,6)
Our radius is 4.
jessica wondered if elementary school students tend to write more when they are given
full question plsAnswer:
Step-by-step explanation:
I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. I’m in 7th grade so can someone make it easy to read like at the explaining part thanks.
A piece of wood is 3 1/2 feet long how many total inches long is it?
Answer:
42 inches
Step-by-step explanation:
1 foot is 12 inches
12 times 3=36
12 divided by 2=6
36+6=42
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
Answer:
26°Step-by-step explanation:
Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.
So, we have the values of angles x and y as 90° and 64°.
90 + 64 = 154° ⇒ Add them up.
Now, subtract 154 from 180 to get ∠z.
180 - 154 = 26°