Given:
The figure of a right angle triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
Using this formula in the given triangle, we get
[tex]\tan (31^\circ)=\dfrac{x}{33}[/tex]
[tex]0.60086=\dfrac{x}{33}[/tex]
[tex]0.60086\times 33=x[/tex]
[tex]19.82838=x[/tex]
[tex]x\approx 19.83[/tex]
Therefore, the value of x is about 19.83 units.
How would you set up the problem to find x? 10 19
What is 3.1 x 2.57? *
Answer:
3.1 x 2.57 = 7.967
Step-by-step explanation:
With multiplication and you can just line them up with the decimal point and multiply, shouldn't matter which one goes first.
25 Points!!. $1.60 for 8 oz, (cheese)
What’s the unit price?
A graph of a quadratic function
Answer:a
Step-by-step explanation:
I am expecting a if not, change the sighns.
Answer:
3
Step-by-step explanation:
i’m stuck on these ones too
Answer:
7.D) 107°
8. A) 123°
Step-by-step explanation:
To find the correct measurement of the angel the sum of the interior angels needs to equal 360°. Angels where the lines intersect with the circle would be both 90°. ( If that makes sense.)
90°+90°=180
180°+73°= 253°
360°-253°= 107°
The same for the second one. (those two angles would also be 90° each.)
90°+90°=180°
180°+57°=237°
360°-237°=123°
The spinner shown is divided into equal sections that each contain one number, so that the probability of spinning each number on the spinner is the same. However, there are two red sections, and therefore there are a total of two numbers (1 and 3) that appear in red sections, while each other color appears in only one section.
A spinner with 6 equal-sized sections labeled 1 through 6. Sections 1 and 3 are red. Section 2 is blue. Section 4 is orange. Section 5 is purple. Section 6 is green.
© 2017 FlipSwitch. Created using GeoGebra.
What is the value of P(x:x is a red section)?
Enter your answer as a fraction in simplest terms, using the / symbol. For example, if your answer is 4284, which reduces to 12, enter it like this: 1/2
Answer:
the answer is 2/6 im not sure but i hope its help
The equation of the line l passing through (0, 3) and perpendicular to d: 5x + 3y = 0 is l: 5y − bx = c. What is the value of c?
9514 1404 393
Answer:
15
Step-by-step explanation:
The value of c can be found by using the given point values in the equation for the line.
5y -bx = c
5(3) -b(0) = c . . . . . fill in x and y
15 = c
Help I will be marking brainliest!!!
A. 18√3
B. 56√3
C. 36√3
D. 56
Show work, if possible. Thanks❤️
=============================================
Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to choice A as the final answer
----------------------
An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.
Which expressions are polynomials? Select each correct answer. x2−x√+2 2 + s 4x³ + y
Answer:
Answers are
Y
2+s
4x^3+y
Step-by-step explanation:
I need help please what’s the answer?
Answer:
you equate 7x -2 with 4x+4
ie 7x - 2 = 4x + 4
collect the like terms
7x-4x = 4 + 2
3x= 6
x = 2
Please help will giv brainlist
Answer:
abcdefg!!!
Step-by-step explanation:
Do u want branlist answer this please
Answer:b
Step-by-step explanation:
a line always has 180 degrees so u just subtract 180-85=95 or what ever the angle is
1. Simplify each of the following.
(a) 4(6-1)-9
Answer:
11
Step-by-step explanation:
4 (6-1)-9
4 (5) - 9
20 - 9
= 11
Find the triangle sum theorem
Answer:
x=37
Step-by-step explanation:
a triangle is equal to 180°. so if you already have 50+56 then you have 74° left for 2x. and 74/2=37
Answer:
x=37 because 56+50=106 180-106=74 74÷2=37
Find the area of the shaded part of the triangle below. Round to the nearest tenth if needed.
Answer:
212.5
Step-by-step explanation:
For triangles, A = (bh)/2
You can do 15+25 to find the base, which is 40. From here do 17*40/2. You get 340. However, you need to remove the right triangle on the left side.
Again do 17*15/2, which you get 127.5.
From here subtract 127.5 from 340 and get 212.5
Answer:
Step-by-step explanation:
Last summer, 80 students signed up for a summer trip to Washington, D.C. This summer, 94 students signed up. To the nearest percent, what is the percent change in the number of students who signed up for the trip?
Answer:
18 %
Step-by-step explanation:
Last summer: 80 students
This summer: 94 students
94 - 80 = 14
14/80 x 100 = 17.5
rounded = 18%
Solve the equation: 7 equals p over 5
Answer:
p = 35
Step-by-step explanation:
7 = p/5
Multiply both sides by 5.
35 = p
p = 35
how do you finish graphing your line?
Answer:
Step-by-step explanation:
Step 1: Identify the variables
Step 2: Determine the variable range
Step 3: Determine the scale of the graph
Step 4: Number and label each axis and title the graph
Step 5: Determine the data points and plot on the graph
Step 6: Draw the graph
Find the measure of angle JML.
Answer:
110°
Step-by-step explanation:
log x - log 6 = 2 log 4
log(x) - log(6) = 2 log(4)
Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):
log(x / 6) = 2 log(4)
Rewrite the right side, using the property n log(a) = log(aⁿ ):
log(x / 6) = log(4²)
log(x / 6) = log(16)
Cancel the logarithms (i.e. take the exponential of both sides):
exp(log(x / 6)) = exp(log(16))
x / 6 = 16
Solve for x :
x = 6 × 16
x = 96
Pls help
The circle below has a diameter of 164 inches.
a) Find the circumference of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).
b) Find the area of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).
Answer:
The circle is the radius divided by equal, so it is the same as the other section meaning 16 as well
Step-by-step explanation:
Add the two ends to the result 32
Answer:
Step-by-step explanation:
yea what she said
What is the slope of the line described by the data in the table below?
Х
-4
0
4
8
y
3
8
13
18
Given:
The table of values is:
x y
-4 3
0 8
4 13
8 18
To find:
The slope of the line that described by the data in the table.
Solution:
Consider any two points from the given table.
Let the two points are (0,8) and (4,13). So, the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{13-8}{4-0}[/tex]
[tex]m=\dfrac{5}{4}[/tex]
[tex]m=1.25[/tex]
Therefore, the slope of the line described by the data in the table is 1.25.
Systems of equations with different slopes and different y-intercepts have one solution.
Never
Sometimes
Always
Answer:
never
Step-by-step explanation:
Angle C and angle D are complementary. The measure of angle C is (2x)° and the measure of angle D is (3x)°. Determine the measure of the two angles.
Answer:
c=36 degrees
d=54 degrees
PLEASEEEEEEEEEEE HELP ME IT'S THE LAST QUESTION
Answer:
I think it's 2-3, but I'm not sure.
Step-by-step explanation:
Sorry if I get it wrong
Please help me solve this
Answer:
1st pic:
x = 61
left angle = 125 degrees
right angle = 55 degrees
2nd pic:
n = 14
left angle = 78 degrees
right angle = 102 degrees
Step-by-step explanation:
1st pic:
use the following equation ⇒ 2x + 3 + x - 6 = 180
combine like terms ⇒ 3x - 3 = 180
add 6 on both sides ⇒ 3x - 3 + 3 = 180 + 3 ⇒ 3x = 183
divide both sides by 3 ⇒ [tex]\frac{3x}{3} = \frac{183}{3}[/tex]
x = 61
solve the angles by subtituting 61 for x
left angle = 2x + 3 ⇒ 2 x 61 + 3 ⇒ 125 degrees
right angle = x - 6 ⇒ 61 - 6 ⇒ 55 degrees
2nd pic:
use the following equation ⇒ 4n + 22 + 8n - 10 = 180
combine like terms ⇒ 12n + 12= 180
subtract 12 on both sides ⇒ 12n + 12 - 12 = 180 - 12 ⇒ 12n = 168
divide both sides by 12 ⇒ [tex]\frac{12n}{12} = \frac{168}{12}[/tex]
n = 14
you can find the angles by substituting 14 for n:
left angle = 4n + 22 ⇒ 4 x 14 + 22 =78 degrees
right angle: 8n - 10 ⇒ 8 x 14 - 10 = 102 degrees
Can someone tell me the answer and explanation??
Answer:
$15.21
Step-by-step explanation:
Why it would be D is if find out what the 17% is ($2.21) you would add it on top of the $13 and it gives you $15.21 or D.
aundreys mother has decided to start a college savings account for him. aundrey is about to start kindergarten, and she decides to deposit $1000 in to an account with a 1.3% annual interest rate. How much will be in the account when aundrey starts 4th grade (4 years later) if she makes no deposits or withdrawals and the interest is compounded annually?
a) $27,984.10
b) $1,630.47
c) $1,053.02
d) $949.01
Answer:
C
Step-by-step explanation:
1.3% of 1000 is 13, 13 X 4 ≈ 53
-5(-2x + 5) - 5 < - 6 - 4x
What's the answer, with the explanation.
Answer:
x <12/7
Step-by-step explanation:
10x-25-5<-6-4x
10x-30<-6-4x
10x+4x<-6+30
14x<24
answer- x< 12/7
Answer:
x<12/7
Step-by-step explanation:
hope that helps
NO FAKE ANSWERS PLZ I NEED HELP ASAP how many jars of peppermint candies are represented on the histogram? 19 brainly points and I will give you brainiest
and I need help with all the questions so plz help
Answer:
i think 25 pepper mint candies.