Answer:
The value of the tangent is [tex]-\frac{4}{5}[/tex].
Step-by-step explanation:
Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:
[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)
Where:
[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.
[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.
If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:
[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]
[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]
[tex]\tan \theta = -\frac{4}{5}[/tex]
Rafael drove 819 miles in 13 hours. At the same rate how many miles would he drive in 5 hours
Answer:
315
Step-by-step explanation:
819 miles/13 hours = 63 miles per hour
63 x 5 = 315
paul is 5 feet tall and casts a 12-foot shadow. A nearby tree casts a 42-foot shadow. how tall is the tree
Which number line represents the solution to 5x < 30? F # 10 0 2 4 6 8 + 0 2 4 6 8 10 H +00 0 4 6 10 N J o 2 4 6 8 10
Answer:G i think sorry if wrong
Step-by-step explanation:
Answer:G
Step-by-step explanation:
Find the midpoint of the line segment whose endpoints are the given points. (-24.6, 38.1) and (-25.7, -17.7)
Answer:
Midpoint is[tex](-25.15,10.2)[/tex]
Step-by-step explanation:
A line segment refers to line that has two endpoints.
Let [tex](a,b),(c,d)[/tex] be the endpoints of a line segment.
Midpoint of the line segment is given by [tex](\frac{a+c}{2} ,\frac{b+d}{2})[/tex]
Take the given points as follows:
[tex](a,b)=(-24.6,38.1)\\(c,d)=(-25.7,-17.7)[/tex]
Midpoint of a line segment [tex]=(\frac{-24.6-25.7}{2},\frac{28.1-17.7}{2})[/tex]
[tex]=(\frac{-50.3}{2} ,\frac{20.4}{2} )\\=(-25.15,10.2)[/tex]
Please I need help! I need to find the Cosine of A
Answer:
cos A = 12/13 = 0.9231
(angle A = 22.62°)
Step-by-step explanation:
cos A = 12/13 = 0.9231
ANSWER=
cos A = 12/13 = 0.9231
(angle A = 22.62°)
EXPLANTION=
cos A = 12/13 = 0.9231
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
ggfvnjuygvvbnnjhyff ggrgbj
Answer: The answer Is C
Step-by-step explanation:
PLS GIVE ME BRAINLIEST
4 mm
5 mm
5 mm
3 mm
*not drawn to scale
12 mm
What is the area of the trapezoid?
Answer:
Area = 40mm
Example:
The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.
Example Problem :
Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?
Solution :
The given values
bottom length a = 15 cm
top length b = 12 cm
height h = 10 cm
Step by step calculation
formula to find area = ((a + b)/2) h
substitute the values
= ((15 + 12)/2) x 9
= 121.5 cm2
In Frank's piggy bank, there are only quarters
and dimes. He has 37 coins, and has a total of
$5.50. How many quarters does he have?
Answer:
12 quarters
Step-by-step explanation:
number of quarters ---------x
number of dimes ------------y
therefore, x + y = 37---------------times 10 both sides --------10x + 10y = 370-------equation 1
0.25x + 0.1y = 5.5 -----times 100 both sides -------25x + 10y = 550 ------equation 2
equation 2 minus equation 1 is 25x + 10y - 10x - 10y = 550 - 370 ------ 15x = 180 -------x = 12
there are 12 quarters
The path of a flying fish as it made its approach to the surface of the ocean and flew out of the water is represented by the quadratic function h(t) = -t2 + 6t - 5, where t represents the time, in seconds, and h(t) represents the fish's height and depth, in feet. Graph the function using the graphing calculator. To the nearest second, how long was the fish out of the water?
1 second
3 seconds
4 seconds
5 seconds
Answer:
4 seconds
Step-by-step explanation:
fish broke the water's surface in 1 second and went back into the water at 5 seconds
∴ it was out of the water for 4 seconds
Answer:
4
Step-by-step explanation:
Find the value of x and show all steps please
Answer:
x = 88
Step-by-step explanation:
Opposite angles in a quadrilateral inscribed in a circle are supplementary
Supplementary meaning that the sum of the two angle measures is 180
The opposite angle of "x" is ∠B which has a measure of 92°
Thus, 92 + x = 180
180 - 92 = 88
Hence, x = 88
Can you help me please I’ll mark you brainliest
Answer:
4
Step-by-step explanation:
Since its a 45-45-90 triangle then the 2 legs are going to be the same.
Answer:
90°
Step-by-step explanation:
Always remember that the sum of all angles is 180°.
So there are two 45° angles, so just add them up and you get 90
So if you subtract 90 from 180, you get 90, and that's your answer
Una camisa me costo $10.500, con lo que gaste el 25% de mi dinero ¿cuanto dinero tenia? (puede ir con desarrollo)
Answer:
the money i have is $42,000
Step-by-step explanation:
Given that
The cost of the shirt is $10,500
And, it would be spend 25% of the money
So based on this, the amount of money at the time before purchasing is
= $10,500 × 100 ÷ 25
= $42,000
Hence, the money i have is $42,000
The same would be considered and relevant
willl give brainlyist if quick its timedd
Answer: 0
Step-by-step explanation: The answer is 0
Answer:
y=0
Step-by-step explanation:
PLEASE HELP ASAP! WILL MARK BRAINLIEST
Answer:
C.
Step-by-step explanation:
In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who has a sister also has a brother?
Answer 3/8
Answer:
[tex]P(sister) = \frac{8}{30} \\ [/tex]
Step-by-step explanation:
[tex]P(sister) = \frac{8}{30} \\ P(brother) = \frac{13}{30} \\ P(SnB) = \frac{3}{30} \\ [/tex]
Evaluate the expression below when n = 2.4. If needed, answer as a fraction or a decimal.
12n−8
Answer:
20.8
Step-by-step explanation:
Plug in 2.4 as n in the expression, and simplify:
12n - 8
12(2.4) - 8
28.8 - 8
= 20.8
So, the answer is 20.8
What percent is 12 of 32 need help quick
Answer:
37.5%
Step-by-step explanation:
got this question correct
Miko and her parents rent boats for the afternoon. Her parents rent a canoe and Miko rents a kayak. • It costs $20.49 to rent a canoe plus an additional $7.49 for each hour. • It costs $17.99 to rent a kayak plus an additional $5.99 for each hour. Miko and her parents rent one canoe and one kayak for the same amount of time, and their total cost for the rentals is $78.92. Write and solve an equation to determine the amount of time, in hours, that they rented the kayak and canoe.
Answer:
Kayak and Canoe rented for 3 hours
Step-by-step explanation:
Let the time for which they rent canoe & kayak = x hours
Total canoe cost = 20.49 + 7.49x , Total kayak cost = 17.99 + 5.99x
Given] Total canoe & kayak cost = 78.92
So, (20.49 + 7.49x) + (17.99 + 5.99x) = 78.92
20.49 + 17.99 + 7.49x + 5.99x = 78.92 ; 38.48 + 13.48x = 78.92
13.48x = 78.92 - 38.48 ; 13.48x = 40.44
x = 40.44 / 13.48 ; x = 3
3 hours
solve the equation 20d+2=0
Answer:
[tex]20d + 2 = 0 \\ 20d \: = - 2 \\ = d = \frac{ - 2}{20} \\d = \frac{ - 1}{10} [/tex]
How many lies of symmetry does this figure have ?
Answer:
B.
Step-by-step explanation:
You can draw draw ten lines through this figure to get symmetry either side.
Function f (x) = 25x/x + 3 has a discontinuity at x = –3. What are Limit of f (x) as x approaches negative 3 minus and Limit of f (x) as x approaches negative 3 plus?
Answer: C
Step-by-step explanation:
edge2021
In the figure below mPUR =77 and mST=74 Find mPR
Answer:
a)
The angle formed by intersecting chords is half of the sum of the intercepted arcs:
1/2(mST + mPR) = m∠PUR1.2(74° + mPR) = 77°74° + mPR = 2*77°mPR = 154° - 74°mPR = 80°b)
The angle formed by two tangents is the half of the difference of the intercepted arcs:
m∠PSR = 1/2(mPTR - mPR)m∠PSR = 1/2(247° - (360° - 247°))m∠PSR = 247° - 180°m∠PSR = 67°Simplify: x + 2y - 3z + 4x – 5y + 6z
Answer:
x+4x+2y-5y-3z+6z
5x-3y3z
Find the missing side. Round
to the nearest tenth.
17
у
44
Х
x = [?]
Answer:
The answer for Acellus people is x=12.2
Step-by-step explanation:
The other legs of the right-angle triangle will be 12.23 units and 11.81 units.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right angle triangle is shown with the angle of 44° and the length of the hypotenuse is 17 units.
Then the measure of the length of x will be given by a cosine angle of 44°.
cos 44° = x / 17
x = 12.23 units
Then the measure of the length of y will be given by a sine angle of 44°.
sin 44° = y / 17
y = 11.81 units
Thus, the other legs of the right-angle triangle will be 12.23 units and 11.81 units.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
Virginia had an average rainfall of 24 inches last year. This year it rained 10% more than last year. How many inches of rain fell this year?
Answer:
It rained 26.4 inches this year.
Step-by-step explanation:
10% of 24 is 2.4
24 + 2.4 = 26.4
Answer:
26.4
Step-by-step explanation:
100%=240
10%=2.4
110%=26.4
Give an example of a number that has many factors and an example of a number that has few factors.....
Answer:
42: 1, 2, 3, 6, 7, 14, 21, 42
43: 1, 43
Step-by-step explanation:
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!
Answer:
g
Step-by-step explanation:
HELP PLEASE WILL LEAVE GOOD RATING
Answer: s = 16
Step-by-step explanation:
234 = (s+2)(s-3)
s = 16, -15 (throw away -15, measurements cannot be negative)
This can be proven by substituting s for 16
234 = (16+2)(16-3)
234 = 18*13
234= 234
Hope this helps! Pls give brainliest :)
A spinner with five equal-sized sections numbered 1 through 5 is shown. The spinner is spun twice and the product of the numbers in the sections where the arrow lands is calculated. What is the probability that the product of the numbers is even?
A.)1/16
B.)4/25
C.)1/2
D.)16/25
Answer: The Answer is D.) 16/25
Step-by-step explanation: I got it correct on Study Island
ASAP ASAPPPPPPP!!!!!!!!
Answer:
135
Step-by-step explanation:
so we need to find the volume of the rectangle
V= L x W x H
V = [tex]2\frac{1}{4}[/tex] x [tex]\frac{3}{4}[/tex] x [tex]1\frac{1}{4}[/tex] = [tex]\frac{135}{64}[/tex]
so now we need to find the volume of the cubes
V = a^3
1/4^3 = 1/64
so:
135/64 ÷ 1/64 = 135
SO135 CUBES :)