Answer/Step-by-step explanation:
A1. Reference angle = 41°
Hypotenuse = x
Adjacent = 7
Thus, applying trigonometric ratio, we would have:
Cos 41 = 7/x
Multiply both sides by x
x × cos 41 = 7
Divide both sides by cos 41
x = 7/cos 41
x = 9.3 (nearest tenth)
A2. Reference angle = 65°
Hypotenuse = 6
Opposite = y
Thus, applying trigonometric ratio, we would have:
Sin 65 = y/6
Multiply both sides by 6
6 × sin 65 = y
5.4 = y (nearest tenth)
y = 5.4
A3. Reference angle = 50°
Hypotenuse = z
Opposite = 8
Thus, applying trigonometric ratio, we would have:
Sin 50 = 8/z
Multiply both sides by z
z × sin 50 = 8
Divide both sides by sin 50
z = 8/sin 50
z = 10.4 (nearest tenth)
B1. Reference angle = 49°
Hypotenuse = x
Opposite = 7
Thus, applying trigonometric ratio, we would have:
Sin 49 = 7/x
Multiply both sides by x
x × sin 49 = 7
Divide both sides by sin 49
x = 7/sin 49
x = 9.3 (nearest tenth)
B2. Reference angle = 25°
Hypotenuse = 6
Adjacent = y
Thus, applying trigonometric ratio, we would have:
Cos 25 = y/6
Multiply both sides by 6
6 × cos 25 = y
y = 5.4 (nearest tenth)
B3. Reference angle = 40°
Hypotenuse = z
Adjacent = 8
Thus, applying trigonometric ratio, we would have:
Cos 40 = 8/z
Multiply both sides by z
z × cos 40 = 8
Divide both sides by cos 40
z = 8/cos 40
z = 10.4 (nearest tenth)
Explain why the equations X - 13 = 4 and 13 - X = 4 do NOT have the same solution.
Answer:
they have different answers
Step-by-step explanation:
X - 13 = 4 and 13 - X = 4
for x- 13 = 4
x=4+13=17
x=17
for 13 - x = 4
13-4-x=0
9-x=0
9=x
x=9
PLEASE HELP
what is 30th term of -12, -3, 6, 15
Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is arithmetic (a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form [tex]9n+c[/tex], where [tex]n[/tex] is the term number and [tex]c[/tex] is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that[tex]9(1) + c = -12[/tex] and hence [tex]c=-21[/tex]. Therefore, the 30th term of the sequence is [tex]9(30) - 21 = 249[/tex].
Sarah paid $27.50 for 2 shirts. Each shirt costs the same amount.
Let n equal the cost of one new shirt.
• Create an equation that can be used to find the cost, in dollars, of n shirts.
• What is the cost of one shirt? $13.75
What is the equation??
Answer:
27.50 divided by 2
Select the correct answer from each drop-down menu.
ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.
The length of side AB is____ units. The length of side BC is ____ units. The length of side AC is ____ units . <ABC=___
Answer:
The length of side AB is
(50)^1/2
units. The length of side BC is
(65)^1/2
units. The length of side AC is
(145)^1/2
units. ∠ABC ≈
105.26°.
-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!
Answer:
1/3 + 1/5 them you solve -2
Step-by-step explanation:
Answer:
-2/3x+2/5
Step-by-step explanation:
Open up parentheses
-2 x 1/3x= -2/3x
-2 x 1/5= 2/5
baa baa the black sheep had 7 pounds of wool if he separated the wool equally into 3 bags how much wool would be in 2bags
Answer:
4 pounds and 2/3 of a pound
each bag would contain 2 pounds and 1/3 of a pound so two pounds would be two times that so 4 pounds and 2/3 of a pound is the answer.
i.dk if this is what u needed but good luck
hope this helped
1/4 divided by 3 1/2
Answer:
1/14
Step-by-step explanation:
dont really know how to explain... just make sure to change both to a common denominator
Answer:
1/14
Step-by-step explanation:
Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?
Answer:
6 cards
Step-by-step explanation:
8 × 6 = 48
You can't have 1/4 of a baseball card. So the answer is 6 cards.
please help! (URGENT)
Answer:
X = 5
Step-by-step explanation:
I NEED HELP PLZZZ!!!!!!
Answer:
No the pay rates are not equivalent.
Step-by-step explanation:
Your pay rate per 8 hours is $56.
Your friends pay rate per 8 hours is $72.
Solve the equation d- 1/4 = 3
Answer:
d = 13/4
Step-by-step explanation:
Answer:
d= 13/4 or 3.25
plz give brainliest
Step-by-step explanation:
Graph x < or = to -4.5 on the number line
HELP ME PLS ASAP PLS PLZ PLS HELP
Answer:
it would be a closed circle and to the right
Step-by-step explanation:
I have a little tip whenever the greater or less than sign is underlined it will always be closed, and when x is greater than -4.5 all the numbers that are greater than -4.5 will be on the right side so that will be your answer.
Can someone please help
Step-by-step explanation:
step 1. 6x - 30 = 2(x + 33)
step 2. 6x - 30 = 2x + 66
step 3. 4x = 96
step 4. x = 24.
step 5. mNMO = x + 33 = 24 + 33 = 57°.
Cesar is 53 5/6 inches tall. Karina is 1 1/3 inches taller than Cesar and Jane is 1 1/4 inches taller than Karina. How tall is Jane?
Answer:
56 5/12 inches tall
Step-by-step explanation:
add karina and Janes inches together than add Cesar and then theres the height
If 4 points are Collinear, they are also coplanar
Answer:
that is true
Step-by-step explanation:
words every 20 minutes, whilo Becky's rate is represented by the graph below. Who types at a faster rate , Armav or Becky? PLEASE HELP I WILL MARK YoU BRAINALIST!!!!
Answer:
The anwser is 1340
Step-by-step explanation:
divide 335 by 5 then multipilyby 20
[tex]2 \sqrt{2} [/tex]
What is the equation?
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
kaylie swims 1500m every monday,,wednesday, friday, and saturday. Sunday, she swims 1800m. how much km does she swim each week?
Answer:
If she swims everyday but tuesday and sunday she would had swim 6000m a week But if you going to count sunday she swims, 7800m a week.
Step-by-step explanation:
Start off with 1500m.
Since it's monday, wednesday, friday and saturday it would be
1500x4
Which equals 6000. If you want to add sunday into it just take the 6000 and add 1800 and you will get
7800.
A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
4) James Madison was born on March
16, 1751. John F. Kennedy was born on
May 29, 1917. If they were both still
alive today, how much older would
James Madison be than John F.
Kennedy?
Answer:
166 years older.
Step-by-step explanation: Subtract 1751 from 1917
You can rent a car for $45 per day plus $0.75 per mile. (This includes taxes.) If you have $120 to spend, find the number of miles you can drive.
A 40-foot ladder is used to reach the top of a 24-foot wall. If the ladder extends 10 feet past the top of the wall, find the
measure of the angle that the ladder forms with the horizontal ground. Answer to the nearest degree
Answer:
53
Step-by-step explanation:
24+30= 54 which is about 53, so the answer would be 53.
Answer:
53
Step-by-step explanation:
The sin of a = opposite over hypotenuse.
sin(a)=24/30
sin(a)=0.8
a=The inverse sin of 0.8
a=53.13
10. Which ordered pair (x, y) is a solution of 3x +4y = 12?
A (-2, 4)
B (0, -3)
C (1,2)
D (4,0)
Answer:
C. (1, 2)
Step-by-step explanation:
3x + 4y = 12
3(1) + 4(2) = 12
3 + 8 = 12
12 = 12
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is the length of the pen, in feet?
Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
Find the mean, median, mode, and range for each set of data 21.5, 35.5, 49.5, 16.3, 35.5
Answer:
Mean :31.66
Median:35.5
Mode:35.5
Step-by-step explanation:
(hope this helps can i plz have brainlist :D hehe)
Write the following ratio as a reduced fraction. Simplify your answer when possible: 22 to 42
Answer:
11 / 21
Step-by-step explanation:
The ratio 22 to 42 can be written as: 22 : 42, and in fraction form as:
22 / 42 in this fraction we can cancel a common factor of 2 from numerator and denominator, leaving us with the reduced fraction:
2 * 11 / (2 *21) = 11 / 21
why do i suck at math
the world may never know
Answer:
Yeah, what the dude above me said.
Step-by-step explanation:
Amy is x years old. Jennifer is 5 years older than Amy. Their father is 4 times as old as Jennifer. Write an expression to represent the fathers age. Then write an expression to represent the sum of their ages. Make sure your final expresson is simplifed.
Answer:
Refer to explanation below^
Step-by-step explanation:
Amy = x
Jennifer = x + 5
Father = x + 5 x 4 = 4x + 5
Total = 4x + 5 + x + 5 + x = 6x + 10
Solve the given equation for x.
6 + x = C
Answer:
x=c-6
Step-by-step explanation:
6+x=c
-6 -6
x=c-6