Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately.
Answers
The measure of the indicated angle θ is approximately 39.9°.
Use the concept of a triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
After labeling the figure
In triangle ABC
Sin θ = AC/AB
Sin 26° = AC/19
AC ≈ 0.44 x 19
AC ≈ 8.36
Now in Triangle ADC,
tan θ = (opposite side of θ)/(Adjacent side)
tan θ ≈ 7/8.36
tan θ ≈ 0.837
Take the inverse of tan on both sides, we get,
θ ≈ 39.9°
Hence,
The value of angle θ is approximately 39.9°.
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Related Questions
Which graph matches the following inequality: y<-2/5x+1?
Answers
Answer: B is the answer
Step-by-step explanation:
5. Ameris rolls a standard number cube with the numbers 1-6. What is the probability of
rolling a 6 or a 2?
a. 16
b. 13
C.
d. 5%
Answers
Answer: its 2/6 is the answer the choices don't make cense
Step-by-step explanation:
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent B C is 5, opposite A C is 12.
For the triangle above, find sin B.
a.
25°
c.
0.923
b.
0.385
d.
18°
Answers
Answer:
sin = opp/hyp
sin B = 12/13
sin B = 0.923
C
Evaluate each of the following expressions for
a = -2 and b = -10
1. ab
Answers
Explanation: it’s 20 because when 2 variables are together it automatically multiples and when you have 2 negatives they become positives
Your bank account has a balance of $25. You withdraw $46. You then deposit $50. What is your new balance?
Answers
Answer:29
Step-by-step explanation:$25-$46=-21
-21+50=29
25-46=-21
-21+50=29
Vincent counts 30 dimes and 87 pennies in a bowl. How many more pennies
than dimes are in the bowl?
Answers
Answer:
57
Step-by-step explanation:
87-30=57. That means that there are 57 more pennies than dimes in the bowl.
Answer:
subtract 30 from 87
Step-by-step explanation:
87-30
Helen borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000 and an interest of $1,200. What was the annual interest rate?
Answers
Answer:
3%
Step-by-step explanation:
No explanation
Write the equation of the parabola in vertex form.
vertex (4.1), point (3,-4)
Answers
Answer:
[tex]\boxed{\bold{y=-5(x-4)^2+1}}[/tex]
Step-by-step explanation:
[tex]y=a(x-h)^2+k[/tex] - vertex form of equation of a parabola where vertex is (h,k)
[tex]y=a(x-4)^2+1[/tex] - vertex form of equation of a parabola where vertex is (4,1)
The parabola goes through point (3, -4) so if x=3 then y=-4
[tex]-4=a(3-4)^2+1\\\\-4-1=a(-1)^2+1-1\\\\-5=a\cdot1\\\\{}\ \ a=-5[/tex]
Therefore the equation of the parabola in vertex form with vertex (4,1), going through point (3,-4):
[tex]y=-5(x-4)^2+1[/tex]
Find f(-5) if f(x) = |x + 1|.
A)6
B)5
C)4
Answers
What is the temperature displayed on the thermometer?
Answers
Your Answer :
98.6°F (37°C).
Step - By - Step Explanation :
Your normal body temperature should be around 98.6°F (37°C). If you have a temperature that is over than 100.4°F (37.2°C), then you should see your doctor preferably soon.
Note :
I am sorry if this is the wrong answer to your question. Your query did not have an image to display the temperature on the thermometer nor did your query have any further context for us to examine.
Good luck on your homework and have a great day.
Feel free to comment on my answer if you have any further questions.
Answer:
25
Step-by-step explanation:
It's Correct On Edge As Well :P
Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.
Which lines are parallel? Justify your answer.
Lines a and b are parallel because their alternate exterior angles are congruent.
Lines a and b are parallel because their same side exterior angles are supplementary.
Lines e and f are parallel because their alternate exterior angles are congruent.
Lines e and f are parallel because their same side exterior angles are congruent.
Answers
Lines e and f are parallel because their alternate exterior angle is congruent. Option C is correct.
Find the diagram attached;
The point where two lines meet is known as an angle.
From the given diagram, we can see that the angle of 75 degrees is at the top left corner is similar to the 75 degrees down right.Hence we can conclude that lines e and f are parallel because their alternate exterior angle is congruent.Learn more here: https://brainly.com/question/11397920
Answer: Option 3 or C. Lines e and f are parallel because their alternate exterior angles are congruent.
Step-by-step explanation: The correct answer is C.
I got it right on the Edge 2022 quiz. Trust me the proof is shown below.
What is equivalent to
Answers
7z= 21
2x + 3y – z =-2 x=_y=_2=
x + 2y + 3z = 9
Answers
Answer:
1) 7(3) = 21
Step-by-step explanation:
what is 3600x0+1=2?
thanks i appreciate it
Answers
Answer:
actually it = 1 but there's your answrr
Step-by-step explanation:
3600x0 = 0
0+1=1
W=ab/a+b ; solve for a
Answers
I could solve for a and it said this:
Isolate the variable by dividing each side by factors that don't contain the variable.
All real numbers
Interval Notation:
(−∞,∞)
But I can solve for W and B
W = 2b
b = W/2
a = I could solve for a and they put the answer to this (−∞,∞)
Mike completed an online course that contained 20 core topics in a total of
40 learning hours. How many topics did he complete in 12 hours time?
Answers
Answer:
6 hours
Step-by-step explanation:
What you have to do is find the unit rate, which would be 20/40 which is .5 ( half an hour, 30 mins ) . Then you would do 30 x 12 = 360 ( 6 hours ).
I need help on answering this question.
Answers
Answer:
The value of m is 3 because (5^4)^3 = 244140625 and 5^12 = 244140625 also, this means they are both equal to each other. Another way of getting the correct answer is just seeing what times 4 will get you 12, as you can see
3 x 4 = 12.
So yea the answer is M = 3.
Step-by-step explanation:
1/3 (1/2x -9) = 1/2 ( x + 18)
1/6x -3 = 1/2 +9
1/4x -3 =9
1/4x =12
x=48
What mistake was made in the problem ?
Answers
Answer:
1/6x - 1/2x does not equal 1/4. They made a mistake in the second to third line.
Step-by-step explanation:
It should have been -1/3x - 3 = 9, which gives you x = -36.
1/6 - 1/2 = 1/6 - 3/6 = -2/6 = -1/3
The mistake is in the third step, the subtraction was done without taking LCM. The value of x is -36.
What is simplification?The numerical expression having two or more operations can be simplified by using ‘BODMAS’ rule, where the letters B, O, D, M, A, S stand for Brackets , orders (powers/indices or roots) , Division, Multiplication, Addition and Subtraction respectively.
For the given situation,
The expression is 1/3 (1/2x -9) = 1/2 ( x + 18).
We need to simplify the expression to find the mistake done by them.
⇒ [tex]\frac{1}{3}(\frac{1}{2}x-9 ) = \frac{1}{2}(x+18)[/tex]
⇒ [tex]\frac{1}{6}x-3 = \frac{1}{2}x+9[/tex]
⇒ [tex]\frac{1}{6}x-\frac{1}{2}x = 9+3[/tex]
⇒ [tex]\frac{-2x}{6}=12[/tex]
⇒[tex]\frac{-1}{3}x=12[/tex]
⇒ [tex]x=-36[/tex]
Hence we can conclude that the mistake is in the third step, the subtraction was done without taking LCM. The value of x is -36.
Learn more about simplification here
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pls help with this question
Answers
Answer: C. y=4x-7
Step-by-step explanation: 4 is the slope so it is next to x and -7 is the y intercept so -7 is after 4x.
Answer: C y= 4x-7
Step-by-step explanation: y=mx+b
mx= slope and b = y intercept
plug in the number to get the slope formula
Hopefully this helps
carlos read 40 pages of a book in 50 minutes. how many pages should he be able to read in 80 minutes
Answers
Answer:
70
Step-by-step explanation
Which of the following fraction pairs are equivalent fractions? *
a. 1⁄4 and 1⁄2
b. 1⁄4 and 3⁄4
c. 1⁄4 and 4⁄12
d. 1⁄4 and 8⁄32
Answers
Answer:
D. 1/4 and 8/32
Step-by-step explanation:
its d because if you simplify 8/32 you get 1/4
HELP WITH MY MATH EXAM i don't know what to do and my head hurts a lot
Answers
Answer:
x = 154/13
Step-by-step explanation:
You are given the measures of all three angles in a triangle
so according to the Triangle Sum Theorem:
∠MNO + ∠OMN + ∠NOP = 180
1. Substitute the measures of the angles into the equation:
(3x + 11) + (2x + 20) + (8x - 5) = 180
2. Combine like terms:
(3x + 2x + 8x) + (11 + 20 -5) = 180
13x + 26 = 180
3. Isolate x by subtratcing 26 from both sides
13x + 26 -26 = 180 -26
13x = 154
4. Solve for x by dividing both sides by 13
13x/13 = 154/13
x = 154/13
у = 2х - 5
Х
у
0
1
2
3
4
Answers
Answer:2x-5= -10
If that was what you mean.
Step-by-step explanation:
Answer:
y = -5
y = -3
y = -1
y = 1
y = 3
Step-by-step explanation:
At a little-know vacation spot, taxi fares are bargain. A 28 mile tail ride takes 32 minutes and cost $22.40. You want to find the cost of a 35 minute taxi ride. What unit price do you need
Answers
Ayuda por favor es para una tarea!!
Answers
Answer:
m<PAT = 41°
m<TAY = 41°
Wht is the answer to this equation 5(x-6)=2(x+3)
Answers
Answer:
12
Step-by-step explanation:
Step 1:
5 ( x - 6 ) = 2 ( x + 3 ) Equation
Step 2:
5x - 30 = 2x + 6 Multiply
Step 3:
3x - 30 = 6 Subtract 2x on both sides
Step 4:
3x = 36 Add 30 on both sides
Step 5:
x = 36 ÷ 3 Divide
Answer:
x = 12
Hope This Helps :)
Can somebody help me plz with this math problem!!
Answers
Answer:
Step-by-step explanation:
.
Answer:
thxxxxxxxxxx for the points
Step-by-step explanation:
HELP! DUE TONIGHT!! Also, I need an explanation (if you can its alright if not) so I can also understand it for the test too.
What is the value of x?
Answers
Answer:
The value of x in the problem is 1.
The princiole labeled some of the marks on the four thermometers with dollar amounts. Decide what labels belong on the remaining marks
Answers
Answer:
hmm lets see
Step-by-step explanation:
ASAP 50 POINTS Which expression is a sum of cubes? -64x6y12+125x16y3 -32x6y12+125x16y3 32x6y12+125x9y3 64x6y12+125x9y3
Answers
Answer:
64x6y12+125x9y3 I think. Hope this helps
Answer:
The answer is D
64x6y12+125x9y3
Step-by-step explanation:
Youre welcome