Step-by-step explanation:
cos θ = 2/3[tex] \quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\ [/tex]
Hence, base = 2 units and hypotenuse = 3 units.
[tex] \quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = 9- 4} \\ [/tex]
[tex] \quad \twoheadrightarrow\bf { P = \sqrt{5}} \\ [/tex]
Now, we know that :
[tex] \quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\ [/tex]
[tex] \quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\ [/tex]
Therefore, the required answer is 3/√5.
help plsssssssssssssssssssssssssssssssssssss
Answer:
84
Step-by-step explanation:
construct the exponential function that contains the points (0,2) and (3,54)
The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
How to construct the exponential function?The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
Read more about exponential functions at:
https://brainly.com/question/24077767
Evaluate 4a when a = 7.
The value is
Answer:
28
Step-by-step explanation:
a is equal to 7,
so where there is 'a' you replace
with 7
4(7)=7×4=
28
Need help with this geometry question.What is HK?
Answer:
Step-by-step explanation:
use a protractor if you have one or ask for one
How much is it but don’t stop it fast cash x
Answer:
yes
Step-by-step explanation:
Which is the logarithmic form of 83 = 512?
log8 512 = 3
log512 9 = 2
log3 512 = 8
log3 8 = 512
Answer:
no solution,because the Is no 83=512 there
3 and 15 find the range of missing side
Answer:
draw a square with a side length of 2.5 cm. label it CARL
Draw the circle with center A passing through C
draw SEGMENT CR
draw the straight line d passing through A and perpendicular to CR
Answer:
12 < x < 18
Step-by-step explanation:
Assuming these are 2 sides of a triangle, then
given 2 sides of a triangle , the 3rd side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
15 - 3 < x < 15 + 3
12 < x < 18
There are six more necromancers than there are
wizards. Write a system of equations that deter-
mines the numbers of wizards and the number of
necromancers.
Answer:
Step-by-step explanation:
let x be necromancers and y be wizards
if you know the amount of wizards and want to find the amount of necromancers. you just use y + 6
but if you know the amount of necromancers and want to find out the amount of wizards you just do x - 6
talyn is riding her bike down the street at
a speed of 15 m/s. If it takes talyn seconds to
get to the end of the streets then how far was the street?
Step-by-step explanation:
1 kilometer
thank you very much
Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.
Based on the results above, predict the number of times a 3 would be rolled if Stacy performs the experiment a total of 480 times
Answer:
5/9
Step-by-step explanation:
Let the probability of getting a multiple of 3 is "A"
Let the probability of getting an even number is "B"
Total number of outcomes=36
Total number of favourable outcomes of either a multiple of 3 or an even number are
(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)
That is we have 20 favourable outcomes
Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=
total number of outcomes
favourable outcomes
Therefore, after substituting the values we get
probability=\frac{20}{36}probability=
36
20
After simplification we will get
probability=\frac{5}{9}probability=
9
5
perform the following division: 3 3/4 ÷ 2/8
Answer:
15
Step-by-step explanation:
[tex]3\frac{3}{4} / \frac{2}{8} = \frac{15}{4} / \frac{2}{8} = \frac{15}{4} * \frac{8}{2} = \frac{120}{8} = 15[/tex]
Roger has 120 peanuts. He saves 48 for himself. He divides the rest equally among 8 friends. He wants to find how many peanuts each friend gets.
Which equations should he use? Select all that apply.
A.
72
÷
8
=
m
B.
120
+
48
=
p
C.
168
÷
8
=
n
D.
120
÷
8
=
l
E.
120
−
48
=
p
Answer:
A and E MARK BRAINLIEST!
Step-by-step explanation:
Well lets look into this question carefully ,
You should first subtract 120- 48= 72
Then 72/ 8 = 9 so we can check all that apply equations we used
A and E
How can you best use the word protrude in an art related sentence?
A. A shelf protrudes into a wall
B. A gravestone protrudes from the ground.
C. The wires from the computer protrude behind the desk.
D. A lollipop stick protrudes into your mouth.
Answer:
B. A gravestone protrudes from the ground.
Step-by-step explanation:
To protrude means to stick out. All other answers describe the object behind or inside something.
NO LINKS!!
Part 1: Figure A is a dilated image of Figure B. Find the scale factor. #1 and 2
Take one side
B=3unitsA=9unitsScale factor (A to B)
[tex]\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{1}{3}[/tex]
Scale factor (B to A)=3#2
B=6unitsA=4unitsScale factor Bto A:-
4/6=2/3Scale factor (Ato B)=3/2
Answer:
The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:
[tex]\textsf{Scale factor} = \dfrac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}[/tex]
For these questions:
new shape = Figure Aoriginal shape = Figure BQuestion 1
Top edge of Figure A = 9 unitsTop edge of Figure B = 3 units[tex]\sf \implies scale \ factor=\dfrac{9}{3}=3[/tex]
Question 2
Width of Figure A = 4 unitsWidth of Figure B = 6 units[tex]\sf \implies scale \ factor=\dfrac46=\dfrac23[/tex]
which is a correct method for solving this equation for X
Answer:
B
Step-by-step explanation:
adding both sides will leave you at x/3=15
then diving by 3, the two 3s will cancel out and you will be left with x=15
i need help quick.......
[tex]\text{Radius of circle, r} =\dfrac 62 = 3~ m \\\\\text{Area of circle} = \pi r^2 = \pi \cdot 3^2 = 3.14 \times 9 =28.26~m^2[/tex]
Solve the inequality: -2x + 7 < 23
Answer:
x > -8
Step-by-step explanation:
-2x + 7 < 23
Subtract 7 from each side
-2x + 7-7 < 23-7
-2x < 16
Divide by -2, remembering to flip the inequality
-2x/-2 > 16/-2
x >-8
Step-by-step explanation:
[tex] = - 2x + 7 < 23[/tex].
Move the constant to the right side..
[tex] = - 2x < 23 - 7[/tex]
Subtract 7 from 23
[tex] = - 2x < 16[/tex]
Change the symbol and reverse the symbol of the inequality to other direction...
[tex] = 2x > - 16[/tex]
Now....divide both side by the same number
[tex] = x > - 8[/tex]
help help help help math math
Answer:
2
Step-by-step explanation:
the line is straight and is set on 2 so y<2
you spin the spinner, flip a coin, then spin the spinner again. find the probability of the compound event. write your answer as a fraction or percent. if necessary round your answer to the nearest hundredth.
(Spinning an odd number, flipping head, then spinning yellow)
Answer:
1/9
Step-by-step explanation:
Probability is defined as the number of cases fitting a constraint divided by the number of total cases.
We will calculate the number of total cases first (bc its easier xD):
3 numbers for the first spin times 2 cases for the flip times 3 numbers for the first spin = 18 total cases.
Now, we will calculate the number of cases fitting the constraint:
For the first constraint, there are two possible ways of spinning an odd number, landing on 1 or 3.
For the second constraint there is only 1 way, which is spinning a head.
For the 3rd constraint, there is only 1 way to spin yellow.
2 * 1 * 1 = 2
Number of cases over total cases:
2/18 = 1/9
Step-by-step explanation:
we seek the probability of a combination of independent events.
since they are independent, we can simply multiply the 3 individual probabilities.
1. spin an odd number (in our case that means 1 or 3) out of the possible 3. that probabilty is therefore 2/3.
2. flipping head with a coin. so, 1 out of possible 2. that probabilty is therefore 1/2
3. spin yellow. that is 1 out of possible 3. that probabilty is therefore 1/3.
again, none of the single events is influencing the outcome of any of the other 2 events, so, the total probabilty of the combination is the product of the single probabilities :
2/3 × 1/2 × 1/3 = 2/18 = 1/9
FYI : the first single probabilty is actually the result of an "or" relationship of 2 possible results of one event :
the probabilty to get an odd number is the same as the probabilty to get 1 or to get 3. both are non-overlapping possible outcomes of one event, so we can add the individual probabilities for the result.
each possible outcome has the probabilty of 1/3, so the "or" relation has a probabilty of 1/3 + 1/3 = 2/3.
75 POINTS IF U GET THIS RIGHT !!!!!Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by $40\%$ each year. If this trend continues, in what year will the census show that the number of wrens is less than $10\%$ of what it was on June 1, 2004?
Answer:
In 2009
Step-by-step explanation:
If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:
2004 = 100%
2005 = 60 % (100 * .6)
2006 = 36 % (60 * .6)
2007 = 21.6 % (36 * .6)
2008 = 12.96 % (21.6 * .6)
2009 = 7.776% (12.96 * .6)
This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.
I hope this helps! :D
Answer:
2009
Step-by-step explanation:
On June 1, 2004 we can say that there were 100% of the wrens.
If the number decreases by 40% each year, then each year there will be 60% of the previous years number. To find 60%, multiply by 0.6 (since 60% = 60/100 = 0.6)
June 1, 2004 = 100%
June 1, 2005 = 100% x 0.6 = 60%
June 1, 2006 = 60% x 0.6 = 36%
June 1, 2007 = 36% x 0.6 = 21.6%
June 1, 2008 = 21.6% x 0.6 = 12.96%
June 1, 2009 = 12.96% x 0.6 = 7.776%
Therefore, the census shows that the number of wrens is less than 10% in the year 2009.
An envelope is 8 centimeters wide, and it measures 17 centimeters along the diagonal. How tall is the envelope? centimeters
Answer:
15cm
Step-by-step explanation:
√289-64√22515cm© the envelope is 15cm rall.
Answer:
15cm
Step-by-step explanation:
√289-64
√225
15cm
Which of the following expressions does NOT represent
91 +91 + 91?
O 91(3)
O 91.3
O (91)(3)
0913
Answer:
91.3 and 0913
Step-by-step explanation:
91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.
Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.
91.3 would happen if you were adding .3 to 91
And 0913 would happen if you added 91 and 822
Do this fast please, I don't have a lot of time! You will literally gain 100 points answering this!
A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?
Just say A,B,C or D, and then the step by step explanation
Answer:
1.6
Step-by-step explanation:
Just 7[tex]\frac{3}{10}[/tex] - 5[tex]\frac{7}{10}[/tex]
Solve the simultaneous equations
.
3x + y = 10
y = 2 - x
X =
y =
Step-by-step explanation:
please mark me as brainlest
Answer:
3x + (2 - x) = 10
3x + 2 - x = 10
2x + 2 = 10
2x = 10 - 2
2x = 8
x = 8/2
x = 4
y = 2 - x
y = 2 - 4
y = -2
Use interval notation to express the following: The set of all numbers less than or equal to −5.
Answer:
(- infinitysymbol,-5]
see image.
Step-by-step explanation:
Interval notation uses parenthesis or square brackets in the format:
( or [ begin , end )or]
Always use parenthesis around the infinity or negative infinity symbol. Square brackets are for when the number is included. Like in this case where it says "or equal to -5"
see image.
When do you say that a given quadrilateral is a parallelogram?
Answer:
Theorem : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.
Step-by-step explanation:
hope that helps
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
st 3 digit prime number, what will be the digit in units place?
Answer:
5
Step-by-step explanation:
If x is the middle number of the 5 consecutive odd numbers, their product is ...
x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x
The first 3-digit prime is 101, so the product of that with this is ...
101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x
Since we're only interested in the units digit, we can find the mod 10 value of this to be ...
(x⁵ +4x) mod 10
Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...
x(x⁴ +4) = 1(1⁴ +4) = 5
3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10
5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10
7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10
9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10
In every case, the units digit of 101z will be 5.
Can someone please help me with this question.
Answer:
I think option B is the correct answer
I think it will help you.
Answer:
C
Step-by-step explanation:
Hope this helps
I'd like for someone to help me on this Thank you <3
Answer: Range: 24, interquartile range: 8
Step-by-step explanation:
Can Someone Assist Me Please? It would be much appreciated
Ya sure.... What's your doubt?