Answers
Answer:
Step-by-step explanation:
here opposite =20, hypotenuse=29
to find adjacent use formula
a^2+b^2=c^2
20^2+b^2=29^2
400+b^2=841
b^2=841-400
b=[tex]\sqrt{441\\}[/tex]
b=21
tan theta=opposite/adjacent
=20/21
therefore tan theta =20/21
Answer:
D. tanθ = 20/21
Step-by-step explanation:
Remember that sinθ = opposite/hypotenuse. In this case, since sinθ = 20/29, we are going to say that opposite = 20 and hypotenuse = 29.
To solve for the adjacent side, use the Pythagorean theorem, a^2 + b^2 = c^2.
When you plug in your values and solve for the other leg, you'll get 21.
Now that we know that the adjacent side/other leg is equal to 21, we can find tanθ, since it's equal to opposite/adjacent.
Opposite = 20
Adjacent = 21
tanθ = 20/21
Related Questions
A quadrilateral has the following vertices on a coordinate plane:
Point J: (3,−6)
Point K: (−1,−6)
Point L: (−1,2)
Point M: (3,2)
Enter the length of side JK.
units
Answers
Answer:
We have to draw it!
Step-by-step explanation:
Use graph paper:
4 units i graphed it out
24 in
10 in
What is the length of the hypotenuse?
C=
inches
Answers
Answer: 26
Step-by-step explanation:
Find the value of Sin^-1(-√3/2)
Answers
Answer:
The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .
Step-by-step explanation:
Please help me solve all of this thank you :) have a nice day <3
Answers
Answer:
I don't know how you wanted to round it
1)
SA = 8(7) + 12(7) + 10(7) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
SA = 289.3725
V = [tex]\frac{1}{4}[/tex] (7) [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
V = 277.80389
2)
SA = 8.1(13) + 8(13) + 8.1(13) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
SA = 370.94749
V = [tex]\frac{1}{4}[/tex] (13) [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
V = 366.2587
$775 at 6% simple interest for 3 years.
Answers
$775 at 6% simple interest for 3 years.
____________________Solution :-Given Information :-Principal ( P ) = $775Rate of Interest ( R ) = 6% p.a.Time Period ( T ) = 3 years To Find :-Simple Interest Formula Used :- [tex] \boxed{ \sf\dfrac{principal \times rate \times time}{100} }[/tex] Calculation :-Substituting the given values in the formula, We get,
[tex] \sf: \implies \dfrac{775 \times 6 \times 3}{100} [/tex]
Calculating further, We get,
[tex] \sf: \implies \dfrac{13950}{100} [/tex]
Dividing, We get,
[tex] \sf: \implies \$ 139.50[/tex]
∴ The Simple Interest is $139.50
____________________Final Answer :-The Simple Interest is $139.50____________________HELPPPPPP PLEASEEEEEEEEEE
Answers
Answer:
Step-by-step explanation:
Round 0.598 to the nearest hundredth.
Answers
Answer:
.60
Step-by-step explanation:I need brainliest for the next rank I’d appreciate it
4. The route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet).
Spectators are usually evenly distributed along both sides of the route. Along one
side of 50 feet of the route, you count 15 children. Estimate the number of children
who attended the parade.
PLEASEEE HELP
Answers
Answer:
The estimated number of children who attended the parade is 6,336.
Step-by-step explanation:
Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:
(10,560 / 50) = 211.2
211.2 x 15 x 2 = X
211.2 x 30 = X
6.336 = X
Therefore, the estimated number of children who attended the parade is 6,336.
20. Find the area of the shape below.
EI = 18 centimeters
KT 12 centimeters
Round your answer to the nearest centimeter.
Answers
Answer:
Step-by-step explanation:
helllppp porfavor:,)
x/9=15/2 rounded to the nearest tenth
20/8.7=5.8/x to the nearest tenth
5/16=11/x nearest tenth
x/0.06=17/0.5 to the nearest tenth
29/x=75/44
Answers
Answer:
1. x = 67.5
2. x = 2.5
3. x = 35.2
4. x = 2.0
5. x = 17.0
Step-by-step explanation:
Question 1
The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:
2x/9 = 15
2x = 9(15)
Next solve for x:
2x = 135
x = 67.5
Question 2
The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:
20x/8.7 = 5.8
20x = 8.7(5.8)
Next, solve for x:
20x = 50.46
x = 2.523
Round to the nearest tenth:
x = 2.5
Question 3
The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:
5x/16 = 11
5x = 11(16)
Next, solve for x:
5x = 176
x = 35.2
Question 4
The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:
0.5x/0.06 = 17
0.5x = 17(0.06)
Next, solve for x:
0.5x = 1.02
x = 2.04
Round to the nearest tenth:
x = 2.0
Question 5
The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:
29(44)/x = 75
29(44) = 75x
Next, solve for x:
1276 = 75x
x = 17.0133
Round to the nearest tenth:
x = 17.0
list all the factors of 10
Answers
Answer: factors of 10 are 1, 2, 5, and 10.
Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.
Answer:
1,2,5,10
Step-by-step explanation:
1 x 10 = 10
2 x 5 = 10
10 x 1 = 10
What is -0.032 + 6.42 ?
Answers
Answer:
6.388
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
6.38800
Step-by-step explanation:
3^4 + 4 ⋅ 5 = ____. (Input only whole numbers.)
Answers
Answer:
101.
Step-by-step explanation:
3^4 equals 81.
4 times 5 is 20.
81 plus 20 equals 101.
Your answer is 101.
Find the measure of the arc indicated.
C
33°
B
?
D
124
Answers
Answer:
C
33
Step-by-step explanation:
Estimate 16.82-8.264 by first rounding each number to the nearest tenth.
pls help i need the right answer!
Answers
Answer:
so the answer is about 8.40
Steps
--------------------------------------------------------------------------------------------------------------
find the number in the tenth place and look one place to the right for the rounding digit. Round up if the number is greater than or equal to 5 but since 2 is less than 5, stays the same
16.820⇒16.82
--------------------------------------------------------------------------------------------------------------
8.264⇒8.364
Remember round up if the number is greater than or equal to 5 and round down if the number is less than 5.
--------------------------------------------------------------------------------------------------------------
now that we have rounded everything. It is time to estimate 16.82-8.364.
16.82 is close to 16.80 and 8.364 is close to 8.40.
16.80-8.40=8.40
Five hats and three scarves cost $99. While three hats and five scarves cost
$85. Find the cost of one hat.
Answers
Answer:
x=15, y=8
15 hats and 8 scarves
Step-by-step explanation:
hats=x
scarves=y
5x+3y=99
3x+5y=85
help pls at least some °ω°
Answers
2.4 x 6 = 14.4
5.3 x 7 = 37.1
7.2 x 8 = 57.6
5.1 x 9 = 45.9
i did the entire first row
Answer:
12.5
14.4
37.1
57.6
45.9
71.1
77.4
70.4
60
59.4
47.6
34.2
48.3
67.5
75.6
Please assist me in the geometry please !!!!
Answers
Answer:
Solution given:
length of cube[a]=6ft
volume of cube =a³=6³=216ft³
again
For cylinder
d=4ft
r=2ft
h=6ft
volume of cylinder=πr²h=π×2²×6=75.4ft³
Now
remaining volume=216-75.4=140.6ft³
is a required answer.
There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.
Answers
He answered 16 questions correctly, and got 3 wrong answers.
==========================================================
Explanation:
Let
x = number of questions that are correct y = number of wrong answers z = number of questions left blankx,y,z are nonnegative whole numbers.
-------------------
Since there are 20 questions total, this means the first equation to set up is:
x+y+z = 20
Solving for y leads to
x+y+z = 20
y+z = 20-x
y = 20-x-z
We'll use this later.
-------------------
Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.
Let's plug the equation in which we isolated y
7x-4y = 100
7x-4(20-x-z) = 100
7x-80+4x+4z = 100
7x+4x+4z = 100+80
11x+4z = 180
-------------------
Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.
If x = 0, then,
11x+4z = 180
11(0)+4z = 180
4z = 180
z = 180/4
z = 45
So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.
If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation
So another solution is (x,z) = (4,34)
Note that
11x+4y = 180
11(4) + 4(34) = 180
But like before, z = 34 isn't possible since 20 is the max.
Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.
Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.
Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.
Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.
We can see that:
7x-4y = 7(16)-4(3) = 112-12= 100
meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.
-------------------
To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)
Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.
$3 is what percent of $6
Answers
Answer:
50 percent
1/2 of 6 is 3
Answer:
50 percent
Step-by-step explanation:
If
y
=
9
, evaluate the following expression:
4
y
+
10
Answers
Answer: 46
Step-by-step explanation:
4(9)+10
36+10
46
Answer:
46
Step-by-step explanation:
4y + 10
4(9) + 10
36 + 10
46
Which of the following numbers has the most number of significant digits?
A. 1.56
B. 23.07755
C. 500.005
D. 1.005
Answers
Answer: B. 23.07755 has 7 significant digits
Step-by-step explanation:
A student bought 5 coats at $86 each and paid for them with only $20 bills. How many bills did it take ?
It took _ $20 bills.
Answers
Then $430 divide by 20 = 21.5
So you can’t have half a bill do the answer has to be rounded up to 22 twenty dollar bills
Consider the figure below.
Line segment AD, Line segment BE, and line segment CF are medians concurrent at G.
Which of the following statements is true?
A FG=1/2 GC
B ED=2/3 AB
C BG=1/2 BE
D GD=2/3 AD
Answers
Answer:
A: FG = ½GC
Step-by-step explanation:
Since AD, BC and CD are medians concurrent at G, it means G is the centroid.
Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.
Also,that the median touches the side of the triangle at their midpoints.
Thus,by inspection, we can say that;
GD = ⅓AD
GC/FG = 2/1
Thus, GC = 2FG and FG = ½GC
BG = ⅔BE
Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.
Use the disributive property to finish the expression that is equivalent to 12 + 4x.
12 + 4x = ___ (3 + x)
Answers
Answer:
12 + 4x = 4(3 + x)
Step-by-step explanation:
Think about what you need to multiply (3 + x) by to get 12 + 4x.
Find the volume of the rectangular prism.
11 cm
11 cm
11 cm
Volume
[?] cm
cm
Answers
Answer: 1331
Step-by-step explanation: v=lwh
The volume would be 1,331 cm cubed. I hope this helps, have a good day!
Find the missing value so that the line passing through the 2 points has the given slope.
(-7,-3) and (-1. y); slope: 1
Answers
Answer:
3
Step-by-step explanation:
We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,
→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )
The points here are (-7,-3) and (-1,y) . Using formula of the slope , we have ,→ m = -3 - y / -7 - (-1)
→ 1 = -(3+y)/ -7+1
→ 1 = -(3+y) / -6
→ 6 = 3 + y
→ y = 6 - 3
→ y = 3
Hence the value of y is 3 .RIGHT ANSWER GETS BRAINLIEST!!!!!
Answers
Answer:
B and C
Step-by-step explanation:
Tahnks for the brainlt
A windshield wiper is 18 inches long and its blade is 12 inches long. It sweeps through an angle of 130 degrees. What is the total area wiped by the windshield wiper?
Answers
Answer:
[tex]A=65 inches^2[/tex]
Step-by-step explanation:
From the question we are told that:
Length of wiper [tex]x=18[/tex]
Length of blade [tex]y=12[/tex]
Angle[tex]\theta=130\textdegree[/tex]
Generally the equation for Cover Area windshield wiper A_w is mathematically given by
[tex]A_w=x^2*\frac{\theta}{360}[/tex]
[tex]A_w=18^2*\frac{130}{360}[/tex]
[tex]A_w=117 \textdegree[/tex]
Generally the equation for Cover Area windshield blade A_b is mathematically given by
[tex]A_b=y^2*\frac{\theta}{360}[/tex]
[tex]A_b=12^2*\frac{130}{360}[/tex]
[tex]A_b=52 \textdegree[/tex]
Therefore total Area wiped by windshield wiper A
[tex]A=A_w-A_b[/tex]
[tex]A=65 inches^2[/tex]
Molly is making strawberry infused water. For each ounce of strawberry juice, she uses three times as many ounces of water. How many ounces of strawberry juice and how many ounces of water does she need to make 84 ounces of strawberry infused water
Answers
Answer:
21 ounces of juice.
63 ounces of water
Step-by-step explanation:
let :
x = ounces of strawberry juice to make the strawberry infused water.
3x = ounces of water needed to make the strawberry infused water.
3x + x = 84
4x = 84
divide both sides of the equation by 4
x = 21 ounces
3x = 3 x 21 = 63 ounces