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.
(3x+8) (4x+10) what is the length
need help with soh cah toa will award most brainliest
Answer:
46.07
Step-by-step explanation:
CAH (cosine=adjacent/hypotenuse)
cos (71)=15 (adjacent)/x (hypotenuse)
x=15/cos(71)
x=46.07
Answer
so what you do is
Step-by-step explanation:
do Cos71= 15/x
becomes x times cos71 = 15
becomes x = 15/cos71
then if u put in calculater and type 15 divided by the cos of 71 and make sure oyur calculater is on degrees an you will get answer
Ok so this question is about scientific notation. Which isn’t hard. But the numbers given are too much for a calculator. I don’t get how to do it. Please help and please provide an explanation
Answer:
1.1 x 10^24
Step-by-step explanation:
Mass of earth: 5.97 x 10^24
Mass of venus: 4.87 x 10^24
There are 24 numbers in the mass of venus before the 4, in 4.87. So, that is why we use 10^24.
5.97-4.87=1.1
which best decribes how to slove the equation below 26x=74
Which point represents the vertex of the marked angle?
While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk? The number of times Angela needs to fill the -cup measuring cup to pour cup of milk is .
Answer:
the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.
Complete question:
While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is?
Step-by-step explanation:
Number of cups Angela needs to add to her dough = 1/2 cup of milk
The only measuring cup she has = 1/4-cup measuring cup.
To determine the number of times she needs to fill the measuring cup to pour 1/2 cup of milk, we would divide the 1/2 cup of milk by 1/4-cup measuring cup
= ½ ÷ ¼
= ½ × 4/1
= 4/2
= 2
Angela would need to fill 2 times
Therefore, the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2
Answer:
The answer is 2 (:
Step-by-step explanation:
I got it right on the test in Edmentum
Hope this helps
Hey school system is reducing the amount of dumpster loads of trash removed each week in week five there are 45 dumpster load the waste removal in Wheaton there were 30 dumpster load removed assume that the reduction in the amount of waste each week is Linnea write an equation in function form to show the amount of trash removed each wwHey school system is reducing the amount of dumpster loads of trash removed each week in week five there a 45 dumpster load the waste removal in Wheaton there were 30 dumpster loads removed assume that the reduction in the amount of waste each week is linear write an equation in function form to show the amount of trash removed each week
Answer:
y = -3x + 60
Step-by-step explanation:
For the answer to the question above,
let x = number of weeks let y = amount of waste.
The linear equation may be expressed as,y = mx + b
m and b are the slope and y - intercept, respectively. Substituting the corresponding values,
(Week 5) 45 = 5m + b
(Week 10) 30 = 10m + b
Solving for m and b gives the values as m = -3 and b = 60. Thus, the equation is
y = -3x + 60
Answer: C
Step-by-step explanation: the other dude is right, he just didnt change y to f(x) (f of x).
The volume of a cuboid is 360cm3. The length is 3cm and the width is 80mm. Work out the height of the cuboid in cm.
Answer:
[tex]15\:cm[/tex]
Step-by-step explanation:
Use the formula for the volume of a cuboid.
[tex]V=lwh[/tex]
[tex]80\:mm=8\:cm[/tex]
[tex]360=3 \times 8 \times h[/tex]
[tex]360=24 \times h[/tex]
[tex]360 \div 24 = h[/tex]
[tex]15=h[/tex]
The height of the cuboid 15 cm.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
The volume of a cuboid is 360cm3.
The length is 3cm and the width is 80mm.
now,
80mm=8cm
volume= l*w* h
i.e. 360 = 3* 8*h
so, h= 15
Hence, The height of the cuboid 15 cm.
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Presenting a graph with a skewed scale would be a: A measurement error. B sampling error. C interpretation error. D data collection error. PLEASEEE HELPPP!!!!!!!!!!!
Answer:
C. interpretation error
Step-by-step explanation:
Interpretation error is how data is interpreted (i.e. wrong meaning). For instance, when data results are presented in a wrong or misleading way.
Answer:
The answer is C.
Step-by-step explanation:
it just is.
Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?
Zara ate 50 almonds last week which is 150% as many as she ate last week.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.
Let's assume that she eat x almonds last week
As per the given question, we can write the percentage would be as
⇒ 150% of x = 75
⇒ (150/100) x = 75
Apply the cross-multiplication operation,
⇒ 150x = 7500
Divided by 150 into both sides of the above equation,
⇒ x = 7500/150
⇒ x = 50
Therefore, she eat 50 almonds last week.
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Q.4 a) If a= x+y and b= x-y , show that I) (a+b)²= 4x² ii) ( a-b)²= 4y²
Answer:
Below.
Step-by-step explanation:
i) (a + b)^2 = a^2 + 2ab + b^2
= (x + y)^2 + 2(x + y)(x - y) + (x - y)^2
= x^2 + 2xy + y^2 + 2(x^2 - y^2) + x^2 - 2xy + y^2
= x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy
= 4x^2.
ii) (a - b)^2 = a^2 + b^2 - 2ab
= (x + y)^2 + (x - y)^2 - 2 - 2(x^2 - y^2)
= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2
= x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy
= 4y^2.
if f(x)=6x^2-4 and g(x)=2x+2 find (f-g)(x)
Answer: [tex](f-g)(x)=6x^2-2x-6[/tex]
Step-by-step explanation:
[tex]f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=[/tex]
Take each function and subtract them.
[tex](f-g)(x)=(6x^2-4)-(2x+2)[/tex]
The trick here is that the negative sign changes all of the signs inside the parentheses.
[tex](f-g)(x)=6x^2-4-2x-2[/tex]
Combine like terms;
[tex](f-g)(x)=6x^2-2x-6[/tex]
Convert the fraction
103
7497
to an equivalent percentage.
Report your answer accurate to one decimal place.
Answer:
1.4
Step-by-step explanation:
We need to convert 103/7497 into a percentage.
All we have to do is multiply the fraction by 100:
103/7497 * 100 = 1.37
To one decimal place, the equivalent fraction is 1.4
hlp me hlp me hlp me hlp me
The unit rate would be points per game.
To find the points per game, divide both numbers by 6:
288/6 = 48
the unit rate would be 48 points / 1 game.
The answer is the first choice.
Answer:
[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex] or the 1st option
Step-by-step explanation:
[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex]
We get this answer because to find the unit rate, we need to get however many points over one game.
Does anyone know how to find angle measures from trig values?
Answer:
Trig is SOHCAHTOA i think
Step-by-step explanation:
SOH is sin which is opposite/hypotenuse
CAH is cos which is adjacent/hypotenuse
TOA is tan which is opposite/adjacent
Hope this helps please leave a comment :)
What is the common denominator of 13/24 + 7/12?
Answer:
The common denominator of 13/24 and 7/12 would be 12.
Step-by-step explanation:
The least common factor of 24 and 12 is 12.
I will give you brainliest!!!! Add the equations.
Answer:
7x = 9
Step-by-step explanation:
3x -2y = 15
4x+2y = -6
---------------------
7x + 0y = 9
7x = 9
If X to the second power equals 30, what is the value of X?
Answer:
see below
Step-by-step explanation:
x² = 30
x = ±√30 (take the square root of both sides)
The value of X in the equation is:
√30 or 5.48
If X to the second power equals 30, what is the value of X?An algebraic equation is when two expressions are set equal to each other, and at least one variable is included.
If X to the second power equals 30 can be written as:
X² = 30
To find the value of X, take the square root of both sides of the equation. That is:
√X² = √30
X = √30
X = 5.48
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does anyone know the bottom answer please
Answer:
6000000 divided by 10 = 600000
Step-by-step explanation:
Your answer should make sense
A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds 560. The theater
sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the
number of bottles of soda. Which Inear inequality can be used to find the quantities of popcorn and soda that should be purchased
to receive a poster?
Copy and complete each table.
HELP I CAN’T FIND THE EQUATION FOR N
I realized the output is -5 each, but what’s the equation ;-;;;l
Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
[tex]T_{2}-T_{1}[/tex] = -3 - 2
= -5
Similarly, [tex]T_{3}-T_{2}=-8-(-3)[/tex]
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence, [tex]T_{n}[/tex] = a + (n - 1)d [n = input value]
[tex]T_{n}[/tex] = 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,
[tex]T_{5}=2+(5-1)(-5)[/tex]
= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7
Can someone please explain what I did wrong here? Thank you!
Answer:
[tex]P(Tamika)=\frac{1}{3} \times\frac{1}{3} =\frac{1}{9} \\P(Jayden)=\frac{1}{3} ;\\P=P(Tamika)\timesP(Jayden)=\frac{1}{9}\times\frac{1}{3}=\frac{1}{27}[/tex]
The difference of two timber’s is 8. When twice the first number is added to three times the second number, the result is 51. What are the two numbers?
Answer:
First number:15
Second number: 7
Step-by-step explanation:
To find the 2 numbers, we can use system of equations.
Let's use x for the first number and y for the second number. Our first equation would be:
x-y=8
This equation comes from the first sentence: the difference of the 2 numbers is 8. The second equation would be
2x+3y=51
This equation comes from the second part of the question.
We can use elimination method to find x and y.
x-y=8
2x+3y=51
Let's eliminate x. To do so, the x in both equations must be equal to each other. Since one is x and another is 2x, we must multiply the first equation by 2 to get the same x.
2x-2y=16
2x+3y=51
Now that the x are the same, we can subtract the equations.
-5y=-35
y=7
With our y value, we can find x by plugging y into any of the equations.
x-7=8
x=15
Since we found our x and y, the first number is 15 and the second number is 7.
Find the distance between the pair of points given on the graph
The right answer is √74 units.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Which table represents a function that does not have a constant rate of
change?
O A.
A/WIN/Holx
y
16
23
30
37
44
O B.
Х
0
1
2
3
4
y
30
36
42
48
54
O c.
х
0
1
2
3
4
11
12
14
18
26
OD.
Х
0
1
2
3
4
y
10
18
26
34
42
Answer:
c.
Step-by-step explanation:
In table one , the rate of change is by adding 7 to each number
in table 2, the rate of change is by adding 6 to each number
in table 4, the rate of change is by adding 8 to each number
but in table 3, there is no precuse addition of numbers
DEFG is an isosceles trapezoid. Find the measure of 2 G.
Answer:
B
Step-by-step explanation:
In an isosceles trapezoid the upper base angles are congruent, thus
∠ G = ∠ D = 121° → B
Answer:
121
Step-by-step explanation:
i took the quiz
Find the difference of the complex numbers (7+3i)-(3-7i)
Answer:
4 + 10i
Step-by-step explanation:
Expanding the bracket we have;
(7+3i)-(3-7i) = 7+3i-3+7i
(7+3i)-(3-7i) = 7+3i-3+7i = 7-3 + 3i + 7i= 4 + 10i
Answer Option C
=7+3i-3+7i
=7-3+3i+7i=
=4+10i
which of the following is the solution to the inequality below?
Answer:
14≤x
Step-by-step explanation:
-6(x-4) ≤-4(x+1)
Distribute
-6x+24 ≤-4x-4
Add 6x to each side
24 ≤-4x-4+6x
24 ≤ 2x-4
Add 4 to each side
24+4≤2x
28≤2x
Divide by 2
28/2≤2x/2
14≤x
B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers
Answer:
a : b : c = 12 : 10 : 15
Step-by-step explanation:
Given that: b = [tex]\frac{2}{5}[/tex] of c
i.e b = [tex]\frac{2c}{5}[/tex] ............... 1
2c = 5b
So that;
c = [tex]\frac{5b}{2}[/tex] .................... 2
Also,
4a = 3c
a = [tex]\frac{3c}{4}[/tex] ................ 3
⇒ a = [tex]\frac{3}{4}[/tex] × ([tex]\frac{5b}{2}[/tex])
a = [tex]\frac{15b}{8}[/tex] ................. 4
15b = 8a
b = [tex]\frac{8a}{15}[/tex] ................. 5
Comparing the derived equations:
From equations 2 and 3,
a:c = [tex]\frac{15b}{8}[/tex]: [tex]\frac{5b}{2}[/tex] = 4:5
From equations 1 and 2,
b:c = [tex]\frac{2c}{5}[/tex] : [tex]\frac{5b}{2}[/tex] = 2:3
But a common value of b = 15, gives;
a : c = 12 : 15 and b : c = 10 : 15
Thus, a : b : c = 12 : 10 : 15
The ratio a:b:c in its simplest form is 15:8:20
Ratios and ProportionsGiven the following parameters
b = 2/5 c4a = 3ca = 3/4cTo get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:
a:b:c = 3/4c : 2/5c :c
Multiply through by 20 to have:
a:b:c = 3/4c * 20 : 2/5c * 20: 20c
a:b:c = 15c:8c:20c
a:b:c = 15:8:20
Hence the ratio a:b:c in its simplest form is 15:8:20
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Using this figure A’ is the______Of A.
Answer:
Reflection
Step-by-step explanation:
Figure A' is the reflection of A as it is reflected from A'
