Given:
The right triangle with base 15 and hypotenuse x.
The measure of angle between base and hypotenuse is 28 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
In the given triangle,
[tex]\cos 28^\circ=\dfrac{15}{x}[/tex]
[tex]x=\dfrac{15}{\cos 28^\circ}[/tex]
[tex]x=\dfrac{15}{0.8829476}[/tex]
[tex]x=16.98855[/tex]
Round the value to the nearest tenth.
[tex]x\approx 17.0[/tex]
Therefore, the value of x is 17.0 units.
A line segment can be drawn from each vertex of a polygon to every other vertex, forming the sides and
diagonals of the polygon. A square, for example, has 4 sides and 2 diagonals. Using combinations, write
an expression that would give you the total number of sides and diagonals for a polygon with
sides.
Answer:
n(n - 3)/2
Step-by-step explanation:
We are told that;
A square has 4 sides and 2 diagonals.
Now, a pentagon will have 5 sides and 5 diagonals
A hexagonal when drawn will have 6 sides and 9 diagonals
Thus, we see that;
When n = 4, d = 2
When n = 5, d = 5
When n = 6, d = 9
Using combination, we will find number of pairs of 2 vertices that can possibly be formed from n-vertices. Thereafter we will subtract n from that since it's neighboring vertices can't combine with the current one.
Thus, we have;
C(n, 2) - n
This gives s;
(n(n-1)/2) - n
Simplifying this gives;
(n(n - 1) - 2n)/2
>> (n² - n - 2n)/2
>> (n² - 3n)/2
>> n(n - 3)/2
20 POINTS!!
dont answer unless you know
Answer:
b
Step-by-step explanation:
a
it is A because a variation equation needs numbers and variables
The lengths of the sides of a triangle are represented by 25 cm, 20 cm, and 17 cm. What is the perimeter of the triangle?
Answer:
25 cm 20 c m
Step-by-step explanation:
Answer:
62 cm
Step-by-step explanation:
You would do
25 + 20 + 17 = 62
how do you write X to the 4th power >>?
Answer:
x^4
Step-by-step explanation:
Consider the square pyramid shown
0127
Which are about the pyramid? Check all that apply
O The base or square with four sides, each measuring 756 feet
O the slant height of the pyramid is 612
O The slant height of the pyramid 756 feet
O All four wangutarties are congruent
O All four tangulat faces are not congruent
O The pyramid has four lateral faces
‼️‼️‼️help me answer ‼️‼️‼️‼️‼️‼️‼️
Answer:
1. Is b
2. Is c
3.is a
Step-by-step explanation:
Brainliest pls
Answer:
number 10 is $60 and 11 is 8 hours
Step-by-step explanation:
i can only help you on 10 and 11
Geometry, Chapter 9 test
Suppose you work as a clerk at a local retail store earning $6 per hour. The amount
of your weekly paycheck (before taxes are taken out) could be written F(x) = 6x.
16. What is the independent variable in this function and what does it represent?
17. What does the dependent variable represent?
Answer:
the independent variable is amount being paid per hour, as the final outcomes relys on that answer. the dependent variable is the hours worked, as thats the variable that can be changed.
Given parallelogram ABCD,
find x.
A
B
(4x + 2)°
1249
C
D
Answer:
hey here is the correct answer
Answer:
x = 30.5
Step-by-step explanation:
The opposite angles of a parallelogram are congruent , then
4x + 2 = 124 ( subtract 2 from both sides )
4x = 122 ( divide both sides by 4 )
x = 30.5
2h- (6h-5) = -1
A) h= -1
B) h= 1.5
C) h= 1
D) h=-1.5
Answer:
h = 1.5 or 3/2 or 1 1/2
Step-by-step explanation:
I just need help finding what Y is
The difference of the two numbers is 1.Their sum is 23.find the numbers
Answer:
11 and 12
Step-by-step explanation:
The two numbers will be called x and y. The sum of x and y is 23 and the difference is 1.
x + y = 23
x - y = 1
Add the equations together
x + y + x - y = 23 + 1
2x = 24
x = 12
y = x - 1
y = 11
Given PQR and STU,what is Q?
I will give brainliest
Answer:
225°quadrant 3reference angle of 45°Step-by-step explanation:
585-360= 225
225° is in quad 3
reference angle for quad 3 is
225° - 180°
The height of the Eiffel Tower in Paris is 980 feet. If the scale of the cake to the actual tower will be 1 in: 15ft, how tall should Julie make the cake? Show your work and explain your reasoning. Will mark brainliest to the correct answer
A bag contains four red marbles and six blue marbles.
Another bag contains eight green marbles and five
yellow marbles. You randomly pick one marble from
each bag. What is the probability that one marble is red and one marble is yellow?
Answer:
4/6 and 5/8
Step-by-step explanation:
1. Calculate the approximate area of the sector with a central angle of 87 as shown below. Round to the nearest hundredths
A 1.27
B 0.98
C21.97
D 5.31
What is the vertex of the absolute value function below?
Answer: (-3, 2)
Step-by-step explanation:
Madelyn earned $784 dollars
babysitting last year. If she charges
$14 per hour, how many hours did she
babysit? 784 divided by 14 and show your work
Answer:
56 hours
Step-by-step explanation:
Divide:
$784
-------------- = 56 hrs
($14/hr)
She babysat for 56 hours to earn that $784.
will mark brainliest
Answer:
25 un²
Step-by-step explanation:
Formula = 1/2(b x h)
Base = 10
Height = 5
1/2( 10 x 5) = 1/2 (50) = 25
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
[tex]25 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{(10 \times 5)}{2} = 25[/tex]
Hey, I’m very bad at math and desperate. Help pls <333
Answer:
you need to reverse the symbol in inequality a.
Step-by-step explanation:
i hope this helps :)
Find the value of x and show all steps pretty please
Answer:
[tex]x=136[/tex]
Step-by-step explanation:
[tex]using ~ intersecting ~chords ~ angle ~theorem[/tex]
[tex]x=\frac{142+130}{2}[/tex][tex]x=\frac{272}{2}[/tex][tex]x=136^o[/tex]---------------------
hope it helps...
[tex] \small \fbox \pink{By using intersecting chords angle property }[/tex]
[tex] \sf{x = \frac{142 + 130}{2} }[/tex]
[tex] \implies \sf{x = \frac{272}{2} }[/tex]
[tex] \boxed {x = 136 °}[/tex]
________________Thank You :)
Hope it helps uh !!
A man and a woman share a prize
of $1,000
between them in the ratio 1:3 . The women shares her part
between herself
, her mother and her daughter in the
ration 2:1:7. How much does her daugter receiv?
Step-by-step explanation:
What type of line the picture represent
Ellie is interested in getting a new phone. One phone company, phone 1 charges a monthly fee of 6$. They also charge 0.10$ per minute. Another company, phone 2, charges 5$ for a monthly fee and 0.25$ per minute. Write an equation for the total cost of each phone bill, where y is the total cost and x is the total number of minutes on the phone. Which company will allow Ellie to talk the longest is she only wants to spend 22$ a month
Answer:
Phone 1 will allow Ellie to talk the longest
Step-by-step explanation:
Phone 1:
(0.10x) + 6 = y
(0.10x) + 6 - 6 = 22 - 6
0.10/0.10x = 16/0.10
x = 160 minutes
Phone 2:
(0.25x) + 5 = y
(0.25x) + 5 - 5 = 22 - 5
0.25/0.25x = 17/0.25
x = 68 minutes
select an ordered pair that is a solution to the equation represented by the graph.
a: -4,0
b: -2,-4
c: -2,0
d: 0,-4
Answer:
A. -4,0
Step-by-step explanation:
A circular sign has a diameter of 13 feet.
What is the circumference of the billboard
sign, in feet?
Answer:
47.12 ft
Step-by-step explanation:
C = 2πr
2 · π · 7.5
≈ 47.12
During testing, the experimental probability of completing a new game with a perfect score was found to be StartFraction 1 over 500 EndFraction. If 1,000,000 people buy and play the game when it is released, how many players will complete the game with a perfect score?
Given: 1/500 and 1,000,000
Multiply 1/500 & 1,000,000
1/500 * 1,000,000 = 2000
Thus, 2000 people are likely to complete the game with a perfect score
Which expression is equivalent to 2 (-3x + 5)?
Help PLEASE MUCH APPRECIATED!!! No websites please❤️
Answer:
67 degrees
Step-by-step explanation:
Answer: 67
Step-by-step explanation: there all parallel to one another right and y and z are right beside each other therefore the same distance from M
PLZZZ HELP MEE
James adds vitamin drops to his fish tank to keep his fish healthy. If James
follows the instructions on the bottle of vitamins, how many capfuls should he add
to his 450-litre tank? (4 marks)
• 2 drops per 5 litres
of water
• 1 capful = 40 drops
Step-by-step explanation:
350/5=70 liters X 2 drops for every 5 liters=140 drops needed for the whole tank.
Since 1 cupful contains 40 drops, the we have this:
140 drops needed for the full tank/40 drops contained in one cup, or,
140/40=3 1/2=3.5 number of cupfuls needed for the full tank.
hopefully this helps