Answers
Answer:
16.26°
Step-by-step explanation:
Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.
• Adjacent side: side on which the right angle and angle of interest lie
• Opposite side: side facing the angle of interest
• Hypotenuse side: side facing the right angle
In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.
Given these two sides, we use tangent to find the unknown angle.
[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]
[tex] \tanθ = \frac{7}{24} [/tex]
Tasking the inverse of tangent on both sides:
[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]
θ= 16.260° (3 d.p.)
Thus, the second option is correct.
Notes:
[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]
[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]
Related Questions
if you need 3/4 cups of beans for 7 servings. How many do you need if you want to make 35 servings
Answers
Answer:
3 3/4 cups
Step-by-step explanation:
We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for 35 servings. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:
[tex]\frac{\frac{3}{4} }{7} = \frac{x}{35}[/tex]
Notice that we can multiply 5 by 3/4 to find the value of x.
So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.
Hopefully this was helpful! If you have any more questions, let me know.
rewrite the fraction 1/6 as a division expression with the same numbers.
Answers
Answer:
1 ÷ 6
Step-by-step explanation:
1/6 is the same as 1 ÷ 6
In the same way, 2/3 would be 2 ÷ 3
Hope this helps!
maths giving 10 point asap 1 question only
Answers
Answer:
Price of shirt=RM9.8
Step-by-step explanation:
Shirt=x Trouser=y
x+y=RM20
5x+y=RM59.20
y=20-x
5x+20-x=59.20
4x=39.20
x=9.8
y=20-9.8
y=10.2
Solve this one following the linear equations beow agebricaly.Express your answer in simplest form.3(6x-4)=24
Answers
6x-4=8
Add 4 on both sides
6x=12
divide 12 by 6
Answer: x=2
Expand:
3(6x)=18x
3(-4)=-12
That gives, 18x-12=24
Subtract 12 from both sides to get 18x=12
x=12/18
Divide the numerator and the denominator by 6 to get:
x=2/3 which is the simplest form.
Hope this helped
Given PQ = 24
PS = 19
PR = 42
TQ = 10
m<PQR = 106°
m<QSR = 49°
m<PRS = 35°
find m<QRS, m<PQS, m<RPS and m<PSQ
Answers
The shape PQRS is a parallelogram
The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degreesThe given parameters are:
[tex]\mathbf{\angle PQR = 106}[/tex]
[tex]\mathbf{\angle QSR = 49}[/tex]
[tex]\mathbf{\angle PRS = 35}[/tex]
(a) Find QRS
This is calculated as:
[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]
So, we have:
[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]
[tex]\mathbf{\angle QRS = 70}[/tex]
Hence, the measure of angle QRS is 70 degrees
(b) Find PQS
This is calculated as:
[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]
So, we have:
[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]
[tex]\mathbf{\angle PQS = 53}[/tex]
Hence, the measure of angle PQS is 53 degrees
(c) Find RPS
This is calculated as:
[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]
Where:
[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]
So, we have:
[tex]\mathbf{\angle RPS = 35}[/tex]
Hence, the measure of angle RPS is 35 degrees
(d) Find PSQ
This is calculated as:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]
Where:
[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]
So, we have:
[tex]\mathbf{\angle PSQ =53}[/tex]
Hence, the measure of angle PSQ is 53 degrees
Read more about angles in a parallelogram at:
https://brainly.com/question/12186483
Brainlest Evaluate (-2-2-1/2)³
Answers
Exact form -729/8
Answer:
[tex]\sf\longmapsto \: \frac{ - 792}{8} [/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: (−4− \frac{1}{2} ) {}^{3} [/tex]
[tex]\sf\longmapsto \: (− \frac{9}{2} ) {}^{3} [/tex]
[tex]\sf\longmapsto \: \frac{ - 729}{8} [/tex]
[tex]\sf\longmapsto \: Decimal: -91.125[/tex]
Lin rode her bike 1 mile in 4 minutes, 2 miles in 8 minutes. Every 1 minute she rode how many miles?
Answers
Answer: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
4 minutes in 1 mile
so 1 minute in [tex]\frac{1}{4}[/tex] mile
please give me a brainliest answer
36.05 rounded off to the nearest tens place
Answers
Answer:
36.1
Step-by-step explanation:
if the 100s place is 5 or above add 1 to the tens place. if it's 5 or below the tens will stay the same.
Complete the equation of the line through (4,-8)(4,−8)
Use exact numbers.
Y=____+_____
Answers
Answer: y = 4x-8
Step-by-step explanation:
(4,-8)
(x,y)
i am a 2 digit number i am a less than 8+8 i am more than 6+6 i am even who am i?
Answers
Answer:
14
Step-by-step explanation:
16-12
even: 12 14 16
You are 14!
8+8=16 and we are given that you are less than 16.
6+6=12 and we are given that you are more than 12.
So the number can be 13, 14, 15.
We are also given that the number is even.
And the only even number here is 14. And 14 has 2 digits.
Hope this helps!
~Just a joyful teen
[tex]-GraceRosalia[/tex]
The circumference of a circle can be found using the formula c=2 pi r.
Which is an equivalent equation solved for r
Answers
The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/π2 .
If it is 7:00 AM at letter F, what time is it at letter A?
5:00 AM
5:00 PM
4:00 AM
4:00 PM
Answers
Answer:
The aswer is 1:00 AM to 1:00 PM.
Step-by-step explanation:
what is the answer?
can someone help me with this?
Answers
Answer:
181.58 pics per month
Step-by-step explanation:
divide 1150 by 6.33
1150/6.33=181.58
is 5(1/5^3) = 5(5^3)
Answers
Answer:
5(1/5^3) ≠ 5(5^3)
Step-by-step explanation:
5(1/5^3) = 5(5^3)
5/27 = 625
5(1/5^3) ≠ 5(5^3)
The sides aren't equal, so this equation is FALSE.
Answer:
Step-by-step explanation:
Short answer: No they are not the same.
5 * 1/5^3 = 1/5^2. One of the 5s in the denominator cancels out.
5^1 * 5^3 = 5^(1 + 3) = 5^4. Nothing cancels here. The powers add.
A store is having a sale where all shoes are discounted by 25%. Diego has a coupon for $2 off of the regular price for one pair of shoes. The store first applies the coupon and then takes 25% off of the reduced price. If Diego pays $24.38 for a pair of shoes, what was the original price before the sale and without the coupon?
H e l p
Answers
Answer:
28.47
Step-by-step explanation:
2
What is the value of f(x) = 23.22 + 2.5 at x = -4.22
=
Answers
Answer:
yo download Gauth math it gives u the answer instantly
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PLEASE HELP!!
What is the equation of the line —3x – 2y = 30 in slope-intercept form?
Answers
I believe the first answer shown in the picture because y= mx + b so it's y=3x+30
hope this helps!
Please help meeeee how do you reflect this?????
Answers
Answer:4 units down and 2 units right if I’m wrong I’m sry
Step-by-step explanation:
Answer:
Please I can't see the question well
(8gh)^2 Simplify the expression.
Answers
64g^2h^2
Pleasehelp!!!!!!!!!! I'll mark Brainliest!!!!!!!!!!!!!!!!
Explain if possible!
A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function -4x+y=15, where x is time and y is velocity ion kilometers per hour. Use this function to determine when a certain particle will reach 30 km/hr.
Answers
Answer:
it will take the certain particle 15/4 (unit of time) to reach 30 km/hr
Input 30 as for y and solve the equation.
Step-by-step explanation:
Since y is kilometers per hour and the question is asking for how long it takes for a certain particle to reach 30 km/hr, you input 30 for y and solve for x.
-4x + y = 15
-4x + (30) = 15
subtract 30 from both sides
-4x = -15
divide -4 from both sides
x = 15/4
it will take the certain particle 15/4 (unit of time) to reach 30 km/hr
HELP ASAP 100 POINTS!
Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4, 3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)
Answers
Step-by-step explanation:
If in any set, you can find 2 or more points that lie on the same vertical,
then it is NOT a function, that is, the same value of x yields 2 or more different
values of y, you don't have a function.
e.g. D is definitely not a function. You have (-2,4) and (-2,-4) , the same x of -2 giving you a y value of 4 and -4.
a standard deck of 52 playing cards is placed facedown on a table how many cards must you draw from the deck to be certain that you will have a pair of the same value
Answers
I there’s 13 cards of 4 suits. you get as lucky as you can and on the low chance you draw all 13 different cards. The 14th card would HAVE to pair.
The required number of picks that will be made for the same value is 26.
Given that,
A standard deck of 52 playing cards is placed face down on a table how many cards must you draw from the deck to be certain that you will have a pair of the same value is to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
A card deck consists of 52 cards, and the deck has 4 number of cards of the same number but different families, which implies the number of 4 equivalents cards in the deck is 13 (Since 52 / 4).
According to the question number of the pair is to be determined that has the same value,
Total number of pairs = 2 * 13 = 26
Thus, the required number of picks that will be made for the same value is 26.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ5
what is the inequality for 2(n−8)<16+2n
Answers
Answer:
No Solution
Step-by-step explanation:
2 (n - 8) < 16 + 2n
Step 1.) Multiply 2 by n and -8
2n - 16 < 16 + 2n
Step 2.) Add the 16 on the left to the 16 on the right
2n < 32 +2n
Step 3.) Subtract 2n on the right from the 2n on the left
0 < 32
If the answers on both sides had both been 0 then it would have been Infinite Solutions but because there is only one 0, the answer is No Solution
There are 180 people registered to attend a conference. In order to seat all of the attendees, rows of 12 chairs are set up in the conference room. How many rows need to be set up in order to seat all the attendees with no extra chairs?
Answers
Answer:
15 rows
Step-by-step explanation:
180 divided by 12 is 15.
I need help, I'm stuck
Answers
1: 12 * [tex]10^{9}[/tex]
We can easily tell this is the answer here as 12 is larger than 4. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.
2: 3 * [tex]10^{12}[/tex]
Same here, we can easily tell this is the answer here as 3 is larger than 1.5. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.
3: 6 * [tex]10^{5}[/tex]
This one is slightly more complicated than the other two, but still not to difficult when you know what you're doing.
A tip: 10 to the fourth power ([tex]10^{4}[/tex]) is 10,000. Aka, a 1 with four zeros!
For the first one, 20 has a zero, so we can take it and put it onto the 10th power. We know have:
2 * [tex]10^{5}[/tex] and 6 * [tex]10^{5}[/tex]
Using the same method as #1 and #2, we can tell that 6 * [tex]10^{5}[/tex] is the answer here!
I hope this helps, have a nice day :D
Find the measure of the angles(S)
Please help
Answers
Answer:
10°
Step-by-step explanation:
the sum of interior angles of triangle is 180°
so. 8x+x+90°=180°
9x=90°
x=10°
A car travels the first 50km of its journey at an average speed of 25m/s and the next 120km at an average speed of 80km /h . The car completes the last part of its journey at an average speed of 90Km/h in 35 minutes . Find the average speed for its entire journey , giving your answer in km/h
Step by step
Answers
Answer:
What do you need me to do
Step-by-step explanation:
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the
.
The variable y represents the
.
The deli charges $
Answers
Answer:
The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Step-by-step explanation:
Let the cost of 1 pound of meat be x
Let the cost of 1 pound of cheese be y
Cost of 4 pounds of meat = 4x
Cost of 5 pounds of cheese = 5y
Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.
So, equation becomes :
Cost of 11 pounds of meat = 11x
Cost of 14 pounds of cheese = 14y
Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.
So, equation becomes :
Thus the system of equations are :
-1 (Red line)
-2 (Black line)
Solving these equations graphically we get the solution
x = $4.5
y = $2.5
Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
help with the geometry pls and thx
Answers
Answer:
1. p->q
2. p<->q
3. :.p^q
Step-by-step explanation:
I hope this will help you
to the nearest tenth, the P(z<-1.4) is:
A) 6.7%
B) 8.1%
C) 80.8%
D) 91.9%
Answers
Answer: everyone to the nearst tenth is 7% 8% 81% 92%
Step-by-step explanation: if this is what it is i did this in the 4th