Answer:
[tex]\angle I = 21.6 ^\circ[/tex] is the correct answer.
Step-by-step explanation:
Please refer to the attached figure.
[tex]\triangle IJK[/tex] is shown with the following measurements:
[tex]\angle K = 90^\circ[/tex]
Side KI = 5.3 ft
Side JK = 2.1 ft
To find : [tex]\angle I[/tex] = ?
Using trigonometric identity for tangent of an angle:
[tex]tan\theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
Here [tex]\theta = \angle I[/tex]
Perpendicular is side JK.
Base is side KI.
Putting the values in above formula:
[tex]tan\theta = \dfrac{\text{JK}}{\text{KI}}\\\Rightarrow tan\theta = \dfrac{2.1}{5.3}\\\Rightarrow tan\theta = 0.3962\\\Rightarrow \theta = 21.6^\circ[/tex]
Hence, [tex]\angle I = 21.6 ^\circ[/tex] is the correct answer.
just the red triangle use the Phytogram theorem please :(
a car is drawn with a scale of 1 in: 4 yards. find the actual length of the car if the drawing if the car has a length= 3in
Answer:
So since you have the ratio of 1 : 4
we need to find 3 : x
since 1*3 = 3. We multiply all by 3
4*3 =12.
Answer is 12
Which set of ordered pairs does not represent a function?
Answer:
it is the last one
Step-by-step explanation:
Since a function is based on a set of ordered pairs, where the first element in each pair is from the domain and the second is from the codomain. Also A function is a mapping from a set of inputs (the domain) to a set of possible outputs (the codomain).
The last one doesn't show the correct inputs and outputs
Find the vertical asymptotes.
Simplify fractions and leave in improper form.
3x2 + 17x + 10
y =
6x2 - 11x + 4
X =
Ž, x =
4
[?]
Answer:
x1 = 4/3, x2 = 1/2
Value to fill in the question mark: 3
Step-by-step explanation:
The vertical asymptotes occurs when the denominator of y are 0, so the value of y goes to infinity.
So, to find the asymptotes, we need to calculate:
[tex]6x^{2} - 11x + 4 = 0[/tex]
Using Bhaskara's formula. we have:
[tex]\Delta = (-11)^2 - 4*6*4 = 25[/tex]
[tex]\sqrt{\Delta} = 5[/tex]
[tex]x_1 = (11 + 5)/12 = 4/3[/tex]
[tex]x_2 = (11 - 5)/12 = 1/2[/tex]
So the value we need to fill in the question mark is 3
What is the solution to the linear system y=-5x-21 and y=7x+15
Answer:
(-3,-6)
Step-by-step explanation:
Compair, then solve for x=-3
then solve you should get y=-6
Answer:
(-3, -6).
Step-by-step explanation:
Since both expressions in x are equal to y:
-5x - 21 = 7x + 15
-12x = 36
x = -3.
Plug x = -3 into the first equation:
y = -5*-3 -21
= 15 - 21
y = -6.
y =
Please answer this correctly
Answer:
4:45p.m
Step-by-step explanation:
40+40+35
divide by 60
you round to get 1hour and 50min
add it to 3:05
Answer:
5:00 PM
Step-by-step explanation:
She got home at 3:05 PM
--> played video games for 40 mins --> 3:45 PM
--> cleaned the kitchen 40 mins --> 4:25 PM
--> Actuall HW 35 ins --> 5:00 PM
5:00 PM
Which equation represents a proportional relationship?
y = 5x + 2
y = 100 x
y = 16x2
y = 6x
Answer:
5x+2
Step-by-step explanation:
I think it is 5x+2
Jeremy jogged 75 yards from his house to school how many feet did Jeremy jog? Solve this problem any way you choose.
Answer:
1 yard = 3 ft
75 yards = 75 * 3
75*3 = 225
He ran 225 ft
If you need inches = 225*12
inches = 2700 inches
Answer:
225 feet
Step-by-step explanation:
3 feet equals 1 yard
? Feet equals 75 yards
75 times 3 equals 225 feet
Q 1. The area of a certain rectangle is 1 m².What is the area of a triangle that was cut off from that rectangle along a line connecting the midpoints of two adjacent sides?
Answer:
0.125 m²
Step-by-step explanation:
The area of a rectangle is the product of its length and breadth. Therefore:
area of the rectangle = length (l) × breadth (b) = 1 m².
l × b = 1
A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.
Area of triangle = 1/2(base × height) = [tex]\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb[/tex]
since lb = 1:
Area of triangle = [tex]\frac{1}{8}*1=0.125m^2[/tex]
Evaluate x ÷ y for x = 3 and y = 12. Your answer: A. 0.25 B. 4 C. 9 D. 36
Answer:
B or D
Step-by-step explanation:
best bet is B
Answer:4
Step-by-step explanation:
Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1
Answer:
n= 4725 /1024
Step-by-step explanation:
Find the measure of the arc.
146°E
mFD =
Answer:
124
Step-by-step explanation:
A circle is a curve sketched out by a point moving in a plane. The measure of the arc mFD is 124°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As we know that the angle made at the center of the circle is 360°. And it is mentioned that the measure of mFE is 146°, while mED is 90°. Therefore, the sum of all angles can be written as,
[tex]\angle FOE + \angle EOD + \angle FOD = 360^o\\\\146^o + 90^o + \angle FOD = 360^o\\\\236^o +\angle FOD =360^o\\\\\angle FOD = 124^o[/tex]
Thus, the measure of the arc mFD is 124°.
Learn more about Circle:
https://brainly.com/question/11833983
(2^8 • 5^negative5 • 19^0) • (5^negative2 / 2^3)^4 • 2^38
i need steps shown and a simplified answer please!
Answer:
6.872* 10^17
Step-by-step explanation:
(2^(8) * 5^(5) * 19^(0)) * ((5^(2))/(2^(3)) ) * 2^(38)
you add the exponent of the same number because it is multiplication
for number two 2 : 8+38=46
for division you subtract the exponents : 46-3=43
and for number 5 : 5+2=7
for 19^0=1
2^43*5^7=6.872*10^17
Which function below represents exponential decay? ƒ( x) = 2(1.3) x ƒ( x) = 0.5(2) x ƒ( x) = (-3) x ƒ( x) = 4(0.25) x
Answer:
f(x) = 4 (0.25)ˣ
Step-by-step explanation:
If the growth factor is between 0 and 1, the function is exponential decay.
If the growth factor is greater than 1, the function is exponential growth.
For each sequence, find the first 4 terms of a sequence:
a) n²+3
b) 2n²
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :
[tex]a) {n}^{2} + 3[/tex]
[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]
[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]
[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]
[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]
[tex]b)2 {n}^{2} [/tex]
[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]
[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]
[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]
[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]
Help!
5 easy math questions (Order of Operations)
( 10+14 ) divided by ( 13-5 )
8 x 3 x (10+6)
(9 + 36 - 5) divided by 8
( 8-4 ) + 10 divided by 5
( 8+27 - 5) divided by 3
These are super easy but I cannot deal rn lol. Please do the solving steps as well. Merci!
Answer:
3
384
5
2.8
10
Step-by-step explanation:
--------------------------------------
10 + 14 = 24 | 13 - 5 = 8
24 divided by 8 = 3
--------------------------------------
8 x 3 = 24 | 10 + 6 = 16
24 x 16 = 384
--------------------------------------
9 + 36 = 45 | 45 - 5 = 40
40 divided by 8 = 5
--------------------------------------
8 - 4 = 4 | 4 + 10 = 14
14 divided by 5 = 2.8
--------------------------------------
8 + 27 = 35 | 35 - 5 = 30
30 divided by 3 = 10
--------------------------------------
Calculate the surface area of each polyhedron. Pls!! Show work
Answer:
384 m^2
Step-by-step explanation:
Surface area of cube = area of 1 side x 6
area of 1 side, in this case = 64 m^2
so, total surface area = 64 x 6 = 384 m^2
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R. 4.9 4.7 2.5 2.3
Answer:
5.1
Step-by-step explanation:
Before we calculate the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given P(−2, 7), and R(1, 0)
RP = √(1-(-2))²+(0-7)²
RP = √3²+(-7)²
RP = √9+49
RP =√58
To get the y value for point Q that is located two thirds the distance from point P to point R, this will give
PQ = y = 2/3 of √58
= 5.1
Answer: I Believe its 2.3
Step-by-step explanation:
P is located at (-2,7)
R is located at (1,0)
Look at the y coordinates
P(-2,7) R(1,0)
7 to 0= distance of 7
multiply 2/3 by 7 = 4.7 (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)
Now plug in the info we know:
.y axis = 7 - 4.7 = 2.3
Hope this helped! Im taking the test and ill be back if this is wrong
Pat has 4 flowerpots, and she wants to plant a different type of flower in each one. There are 7 types of flowers available at the garden shop. In how many different ways can she choose the flowers?
Answer: 28
Step-by-step explanation:
times 4 and 7 seven and get your answer
the answer is 28:)
7x4=28
An Airbus has 1 first class section, 1 business-class section and 4 economy-class sections. The first class section has 14 seats. 5/7 are being used. The business-class section has 64 seats. 5/16 are being used. Each economy-class section has 108. 5/9 in each section are being usd. Are more than half seats on the plane being used? Yes Or No Show your working.
HELP!!!!!!!
Answer:
first class section has 14 Seats
Seat used = (5/7) * 14 = 10 Seats
Business class Section has 64 Seats
Seats used = (5/16) * 64 = 20 Seats
Economy class Section has 4 * 108 = 432 Seats
Seats used = (5/9) * 432 = 240 Seats
Total Seats = 14 + 64 + 432 = 510
Total Seats Used = 10 + 20 + 240 = 270
270/510 = 270 ( 2 * 255) > 1/2
Yes , more than half of the seats being used
Step-by-step explanation:
what is the value of 2²+5²
Answer:
29
Step-by-step explanation:
2^2 + 5^2
PEMDAS
Exponents first
4+25
Then add
29
Answer 5, 6 , and 7 by today please.
Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?
Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Step-by-step explanation:
A temperature falls from 0 to [tex]- 12\dfrac{1}{4}[/tex] in [tex]3\dfrac{1}{2} \ hours[/tex]
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is [tex]- 12\dfrac{1}{4}[/tex]
The change in temperature is [tex]\Delta T = T_2 - T_1[/tex]
[tex]\Delta T = -12\dfrac{1}{4} -0[/tex]
[tex]\Delta T = -12.25[/tex]
Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:
[tex]\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}[/tex]
x° = - 3.5
x° = [tex]- 3\dfrac{1}{2}[/tex]
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Answer:
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Step-by-step explanation:
A
A rectangle is 6 inches longer than it is wide. Write and simplify an expression for
the perimeter of the rectangle in terms of the width w.
Answer:
L+6=W
Step-by-step explanation:
Answer:
4w + 12
Step-by-step explanation:
w + (w+6) + w + (w+6) = 4w + 12
for perimeter you add all the sided together
w = width
w + 6= length
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear
functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice's race?
Answer:Antonio had a head start of 3 meters
Step-by-step explanation:I took the test
Answer: Option B
(B) Antonio had a head start of 3 meters.
Step-by-step explanation:
Which is the equation in slope-intercept form of a line that contains points D and E?
Answer:
y=1x
Step-by-step explanation:
theirs no b because it goes through (0,0)
to find slope you do 2-4 over 2-4 and it equals 1
hope this helps:)
What is James average speed on his outward journey
Answer:
We wish to find his rate...
km per minute or km per hour:
His total time is: 15 + 5 + 20 = 40 minutes
His total distance is 2 km
Rate in km/minute: 2/40 = 1/20 = 0.05 km/minute
If you want km/hour then:
(0.05 km/minute)(60 minutes/hour) = 3 km/hour or kph
Step-by-step explanation:
James walks 1 km away from home in 15 minutes. He stops and rest for 5 minutes and then walks back home along the same path, but he spent 20 minutes to reach home.
Write the following inequalities in slope interact form -12x-2y> -42
Answer:
y < -6x+21
Step-by-step explanation:
-12x-2y> -42
Add 12 x to each side
-12x+12x-2y>12x -42
-2y > 12x-42
Divide by -2 remembering to flip the inequality
-2y/-2 < 12x/-2 -42/-2
y < -6x+21
This is in slope intercept form
Classify the following triangle. Check all that apply.
Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}
Answer:
N = {13, 15, 17, 19} is the correct answer.
Step-by-step explanation:
We are given with the following details:
N is the set of odd natural numbers.
N contains the elements which are greater than 11 and less than 21.
To write: The set notation for the elements of set N.
Solution:
First of all, let us see what are odd natural numbers.
Natural numbers are the positive integers i.e. {1,2,3,4, ........ }
Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}
Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.
So the answer will be N = {13,15,17,19}.