Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work
Answers
=========================================================
Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = xThe hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
Related Questions
Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
Answers
Sarah wants to find out how much time it would take to drive from her home to New York. At an average, she would drive at 55 miles per hour. If the distance to be covered is 1150 km and a mile equals 1. 61 km, how much time will the trip take (to the nearest hour)? 13 hours 21 hours 29 hours 34 hours.
Answers
Answer:
A
Step-by-step explanation:
d = 1150 km = 1150 km / 1.61 miles = 714.29 miles
r = 55 mph
d / r = time
714.29 / 55 = 12.99 hours.
The closest time to that is 13 hours.
simplify 7^2 • 7^6 =
Answers
Explanation: just add the exponent if you are multiplying two things with the same base
Simplify.
8^15÷8^−3
Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53
PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS
Answers
Answer:
[tex]8^{18}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]
= [tex]8^{(15-(-3))}[/tex]
= [tex]8^{(15+3)}[/tex]
= [tex]8^{18}[/tex]
The simplified form is 8^18
What are Exponents?The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.
Properties of ExponentsThe properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.
Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bmGiven:
8^15÷8^−3
Using
a^m / a^n = a^( m-n)
So,
8^15÷8^−3
=8^(15-(−3))
=8^(15 +3)
=8^18
Learn more about exponents and power here:
https://brainly.com/question/15722035
#SPJ2
Plz help brainiest to the correct answer!
Answers
Answer:
1. x (multiplication)
2. / (division)
3. - (subtraction)
4. - (subtraction)
5. / (division)
Step-by-step explanation:
1. 24 x 3/4= 18
2. 24/-3/4=-32
3. 12- 15= -3
4. 12- (-15)= 12 + 15 = 27
5. -18 / -3/4= 24
#a
[tex]\\ \sf{:}\dashrightarrow 24\times \dfrac{3}{4}=18[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 24\div \dfrac{-3}{4}=-32[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow 12-15=-3[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow 12-(-15)=27[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow -18\div \dfrac{-3}{4}=24[/tex]
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
Answer:
-1/3x+4
Hope This Helps!!!
You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2miles on 1 and 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answers
Answer:
Blue carStep-by-step explanation:
Find the miles per gallon rate of each car
Blue car:
44 1/2 ÷ 1 1/4 = 89/2 ÷ 5/4 = 89/2 × 4/5 = 356 / 10 = 35.6 miles per gallonRed car:
27 1/5 ÷ 4/5 = 136/5 × 5/4 = 136/4 = 34 miles per gallonAccording the rates, the blue car could travel the greater distance
PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A. c = 1.25p B. p = 1.25c
C. c = 3.75p D. p = 3.75c
Please answer asap
Answers
Answer:
The answer is A
Step-by-step explanation:
$1.25*3=3.75
5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answers
Answer:
One solution
Step-by-step explanation:
First, organize the equations by moving y to the left hand side:
5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x
3y = 2x + 9 is already done
Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:
2y=6-5x multiply both sides by 3, 6y = 18-15x
3y=2x+9 multiply both sides by 2, 6y = 4x+18
Substitute y on both sides and we get 18-15x=4x+18
Simplify that and you get 19x=0, x equals 0, so there is one solution
Write as expression. The sum of 7, a number, and 8.
Answers
Answer:
7 +X + 8= Y
Step-by-step explanation:
The sum means addition, and "a number" is going to be replaced by X
A rectangle has an area of 35x + 42 square units. If the
width of the rectangle is 7 units, what is the length of the
rectangle?
Answers
Answer:
length = 5x + 6
Step-by-step explanation:
35x + 42 = 7*L since area of a rectangle is length * width
(35x + 42) divide by 7 = 7L divide by 7
5x +6 = y
Classify −3x4−x3+4x2+12 by degree.
Answers
Answer:
Fourth degree or quartic
Step-by-step explanation:
As the highest power is 4, it is a quartic.
At a restaurant the ratio of kids meals sold to adult meals sold was 2:1. If there were 8
kids meals sold, what is the combined amount of kids and adult meals sold?
Answers
Answer: 12
Step-by-step explanation:
8/2=4
4x1=4
8+4=12
Answer:
12
Step-by-step explanation:
following the 2:1 ratio, or 2 kids meals for every adult meals sold, so if 8 kids meals are sold, 4 adult meals must have been sold.
8/2 = 4
The area of Chile is approximately 2*10^6 square kilometers the area Bosnia is approximately 9*10^4 square kilometers what is the area of the two countries
Answers
Answer:
2,090,000
Step-by-step explanation:
Area = Area of Chile + Area of Bosnia
Area of Chile = 2*1000000
Area of Bosnia = 9*10000
Area = 2,000,000 + 90,000
Area = 2,090,000
Answer:
Step-by-step explanation:
there total
= 2*[tex]10^{6}[/tex] + 9*[tex]10^{4}[/tex]
= 2*1,000,000 + 9*10,000
= 2,000,000 + 90,000
= 2,090,000
= 209*[tex]10^{4}[/tex]
= 2,09*[tex]10^{6}[/tex]
WILL GIVE BRAINLIEST
Answers
Answer:
31). (0,-2), (2,-5).
32). (0,-1), (5,3).
33). (0,1), (5,-2).
34). (0,1), (4,0).
loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?
Answers
Answer:
dimes: 5
quarters:8
Step-by-step explanation:
she has 2$ in quarters and $0.25 in dimes
Answer:
10 Dimes and 5 Quarter
Step-by-step explanation:
Important info:
18 Coins worth a total of $2.25
Note:
Dimes = .10
Quarter = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many each type of Coin does she have?
Solution:
Lets get rid of .25 in $2.25 :)
So that 1 Quarter..
2.00
Takes away 1.00 = 10 Dimes
Now we have 1 Quarter and 10 Dimes.
1.00 Left..
4 Quarter = 1.00
So now we have 5 Quarter and 10 Dimes..
Check Work:
5 Quarter = 1.25 and 10 Dimes = 1.00
1.25+1.00=
$2.25
Hence. Loria has 5 Quarter and 10 Dimes.
{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}
~[ RevyBreeze]~
how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x
Answers
this equation is error because of -7and 4y two this is not have + or - that's why
HELP PLEASE!!
Question in picture!!
Answers
Answer:
twice a number and add 2 to it
Expression. 2x+2
Varible. 2X
Constant. 2
ten subtracted from 1/4 a number
Expression. 1/4x-10
Varible. 1/4x
Constant. -10
Hope This Helps!!!
Can u help me with these plss
Answers
Answer: 40BC and 766AD
Step-by-step explanation:
Distance between two points (−5,−5) and (-9, -2)
Answers
Answer: 5
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5
Need help ASAP! Directions in picture;)
Answers
Y=5
If both polygons are equal to each other, then you can get these equations:
2x+4=10
3y-3=12
Now you just solve them. Remember, what you do to one side, you have to do to the other. I can explain this more if you want.
solve 4x-y=-5 -2x+3y=10
Answers
Answer:
(x,y) =(7/2,4)
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
Answers
Answer:
heres a graph
Step-by-step explanation:
Answer: there you go
Step-by-step explanation:
Given that D, E, and F are the midpoints of their respective sides, which of the following is a true statement?
Answers
Answer:
I'm pretty sure its the 1st one.
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST!!!
Answers
AnswerAnswers in explaination
Step-by-step explanation
PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.
PART B answer: The two equations I solved for above
Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two
easy one for you folks. show work.
who ate more?
Answers
Answer:
Regan ate more
Step-by-step explanation:
maggie: 5/8 of pizza to start
eats 1/4 of 5/8
1/4 times 5/8 gives 5/32
regan: 7/12 of pizza to start
eats 2/3 of 7/12
2/3 times 7/12 gives 14/36 or 7/18
7/18 > 5/32
Answer: Reagan
Step-by-step explanation: because 2/3 is more than 1/4
PLEASE HELP GIVING POINTS
Answers
Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.
Step-by-step explanation:
To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].
This means to rise up ___ amount of numbers and run __ amount of numbers.
Rise is moving along y, and x is moving along x.
-Additional info:
positive slope (when lines go uphill from left to right) negative slope (when lines go downhill from left to right) zero slope (when lines are horizontal) undefined slope (when lines are vertical)-------------
#TeamTrees #TeamSeas #PAW #Spread_Positivity
I hope this helps,
-Oceanbreeze24
A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?
Answers
If a recipe calls for 1 1/2 OR 1.5 (decimal form) for 6 people then:
1.5/6 = 0.25 cups of sugar PER person
0.25 x 40 = 10 cups
We will need 10 cups of sugar for 40 people but the we only have 9 cups
therefore 9 cups arent enough for 40 ppl
question (e) only please show working as well appreciate it
Answers
Answer:
a. f(2) = 6
b. f(3) + f(-3) = 62
d. 3(x+1)^2 - 5(x+1) + 4
e. This one looks like the secant line equation. Not fully sure.
Step-by-step explanation:
You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.
For the other two , you have use algebra. For d, you replace x with x+1.
Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?
Answers
Answer:
28
Step-by-step explanation: 20% off $35 is equal to (20 x 20) / 100 = 7. So if you buy an item at $35 with 20% discounts, you will pay $28 So the Discount would be 7 Dollars
