Answer:
-4/5
Step-by-step explanation:
sin theta = opp/ hyp
sin theta = -3 /5
Using the Pythagorean theorem
opp ^2 + adj ^2 = hyp ^2
(-3) ^2 + adj ^2 = 5^2
9+ adj ^2 = 25
adj ^2 = 25 - 9
adj ^2 = 16
Taking the square root of each side
adj = ±4
Since we are in the 3rd quadrant sin and cos are both negative so adj must be negative
adj = -4
cos theta = adj / hyp
cos theta = -4/5
Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?
Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly
(see graph, where red is Pepe and blue is Leo)
Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have:
Pepe and Leo deposit money into their savings accounts at the end of each month.
From the table, we can plot a graph on a coordinate plane.
As we can see in the graph:
Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.
Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ5
if A is a subset and equal to B then B'-A' is equal to
Answer:
A-B
Step-by-step explanation:
It doesn't say A=B... But just that A is a subset of B.
Anyways, why not try an example to help reveal the answer.
Let the universe set, U, be U={1,2,3,4,5,6}.
Let B={1,2,3,4} and A={1,3,5}
First choice would become A'={2,4,6}
Second choice would become B'={5,6}
Third choice would become A-B={5}
Fourth choice is just { }
B'-A'={5}
The only choice matching is A-B
*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.
[tex]4 - \frac{2}{3}x = \frac{x - 6}{5} [/tex]
x=? Please tell
Ten tiles numbered 1 through 10 are turned face down. One tile is turned up at random, and a die is rolled and the number is square. What is the probability, written as a percent, that the product of the numbers on the tile and the die will be a perfect cube?
Answer:
18.33333333%. Please mark as brainliest if I’m Correct. :)
Step-by-step explanation:
Please Help !
Which of the following describes point D? (-4, 0) (0, -4) (0, 4) (4, 0)
Answer:
D(0 , 4)
Step-by-step explanation:
Point D is on the y axis. So, x-coordinate = 0
y- coordinate is the vertical length from origin which is 4
Answer:
D(0 , 4)
Step-by-step explanation:
what is the relation that represents the relation
Answer:
what can i help u with
Step-by-step explanation:
I really can't help u with that sorry i am bad at math
Solve 4 sinx + 9 cosx=0 for 0°
4 sin(x) + 9 cos(x) = 0
4 sin(x) = -9 cos(x)
tan(x) = -9/4
x = arctan(-9/4) + nπ … … … (in radians)
or
x = arctan(-9/4) + 180n ° … … … (in degrees)
where n is any integer.
I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of
x ≈ 113.96° and x ≈ 293.96°
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
help someone!! which one is it?
Answer:
not great with math but I'm sure it's the second circle
log 55 is the power to which ---- must be raised in order to produce a value of 55
Answer:
10
Step-by-step explanation:
just took the quiz
the polygons in each pair are similar. find the scale factor of the smaller figure to larger figure.
Answer:
Scale factor = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
From the picture given in the question,
If the larger figure is dilated to form the smaller figure,
Scale factor by which a figure is dilated with is determined by the expression,
Scale factor = [tex]\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
Help anyone can help me do the question,I will mark brainlest.
Answer:
Step-by-step explanation:
S=pi*R^2=(area of the sector)*(360/angle of AOB)
so 22/7*9^2=99*360/angle of AOB
-> AOB=140
perimeter of circle: 2*pi*R
permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40
8. If a prism is 15cm high with its base a triangle having sides 6cm, 8cm and 10cm. Find its volume. (a) 350cm (b) 30cm (c)460cm3 (d)90cm3
Answer:
360cm³
Step-by-step explanation:
Volume of a triangular prism = Base area * Height of prism
Height of prism = 15cm
Base area = 1/2 * 6 * 8
Base area = 24cm²
Volume of the prism = 15 * 24
Volume of the prism = 360cm³
Can somebody help me with this question
Answer:
900°
Step-by-step explanation:
The interior angles sum = 180° ( n - 2 )
~~~~~~~~
n = 7
180° ( 7 - 2 ) = 900°
Answer:
900 degrees
Step-by-step explanation:
just apply the formulas discussed in class !
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n−2)×180∘ (where n is the number of sides)
in our case we have 7 sides.
so, we could split this polygon into 5 triangles.
each of these triangles would have an angle sum of 180°.
so, the angle sum of the polygon is
5×180 = 900°
Jim removed 27 gallons of water from a rainwater storage tank. There are 59 gallons left in the tank. What equation can Jim use to find how much water was in the tank earlier? Use x to represent the amount of water originally in the tank.
Answer: X = 86 gallons
Step-by-step explanation:
X-27=59
X=59+27
Write an equation of the graph (shown below) in slope intercept form.
Can someone help me with this plz plz pls
56/11=5.09090909090.......
50/9=5.5555........
7/9=0.777777.......
Is 9/72 rational or irrational
i think answer is rational
Answer:
Rational
Step-by-step explanation:
The Numerator and Denominator is a whole number and its a fraction
Answer the question to get points
Answer:
4. E=4x-15(vertically opposite)
F=E(corresponding angles)
E=4x-15
5.3x+6x+O=180(angles on a straight line)
9x+0=180
9x=180-0
9x/9=180/9
x=20
Find the length of the third side. If necessary, round to the nearest tenth. 16 12
Answer:
20
Step-by-step explanation:
Use the Pythagorean theorem. a^2+b^2=c^2
12^2+16^2=c^2
144+256=c^2
400=c^2
20=c
32 x square Y - 2 y cube
Answer:
207y
Step-by-step explanation:
A number n times 33, decreased by 135, is 360. A number m times 18, added to 90 is 360. Write and solve an equation for each variable. Then compare the values of n and m.
Answer:
N = 6.8181. and m= 15
Step-by-step explanation:
33n-135=360
33n = 360-135
33n =225
n = 6.8281.
18m+90=360
18m=360-90
18m =270
m= 15
A triangle can have at most___ right angle
О
2
4
1
a right angle can have at least 2
In the circle below, if arc AC = 66°, and arc BD = 146, find the measure of
Select one:
a. 146
b. 212
C. 66
d. 106
Answer:
D. 106°Step-by-step explanation:
m∠BPD = m∠APC = 1/2(mAC + mBD) = 1/2(66° + 146°) = 1/2(212°) = 106°Answer:
By applying intersecting chords angle theorem:-
[tex]m\angle BPD= 106[/tex]° [tex]=1/2(BD+AC)[/tex]
[tex]=1/2(146+66)[/tex]
[tex]=1/2\time(212)[/tex]°
[tex]m\angle BPD=106[/tex]°
Answer:- D) 106°
OAmalOHopeO
Pressure varies inversely as volume. When the pressure is 8 Pascals, the volume is 22 liters. What would the volume be if the pressure were increased to 16 pascals?
Answer:
we can use 2 formule to solve your question: One is P*V=n(mol)*R*T(KELVIN)
Step-by-step explanation:
And other is P(first)*V(first)=P(last)*V(last)
8*22=16*?
the ?=11
find the missing length indicated
Answer:
x = 240
Step-by-step explanation:
Apply the leg rule to find the value of x.
Leg rule is given as:
Hypotenuse/leg 1 = leg 1/part 1
Hypotenuse = 400
Leg 1 = x
Part 1 = 144
Plug in the known values into the formula
400/x = x/144
Cross multiply
x*x = 144*400
x² = 57,600
Take the square root of both sides
√x² = √57,600
x = 240
Factor the expression
Thank you so muchh
Answer:
(x+8)(x-5)
Step-by-step explanation:
x^2 +3x-40
What two numbers multiply to -40 and add to 3
8 * -5 = -40
8+-5 = 3
(x+8)(x-5)
Answer:
(x + 8)(x - 5)
Brainliest, please!
Step-by-step explanation:
(x + )(x - )
Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8
(x + 8)(x -5)
ncert maths class 10 solution 5.1 4
Can you attach a picture to your question?
I would love to help you out.
Answer:
Step-by-step explanation:
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1
where is question ??
helphelphelphelphelphelp
Answer:
E - (8,-9)
F - (9,-9)
G - (9,-4)
Step-by-step explanation:
The first number in the bracket relates to the x-axis
The second number relates to the y-axis
equivalent expression: 3 + 4(2z - 1)
Answer:
8z - 1
Step-by-step explanation:
Given
3 + 4(2z - 1) ← multiply each term in the parenthesis by 4
= 3 + 8z - 4 ← collect like terms
= 8z - 1
Answer:
-1 + 8z
Step-by-step explanation:
First use the distributive property of multiplication (Just multiply 4 with all numbers in the parenthesis):
3 + 4(2z - 1)
3 + 8z - 4
Group like terms:
3 + 8z - 4
-1 + 8z
The answer is -1 + 8z
Hope this helped.