Answers
Answer:
[tex]XY = 4.9[/tex]
Step-by-step explanation:
Given
[tex]XZ= 4[/tex]
[tex]\angle Y = 45[/tex]
[tex]\angle Z = 60[/tex]
Required
Determine the measure of side XY
To do this, we make use of sine law. This is as follows:
[tex]\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}[/tex]
In this case:
[tex]\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}[/tex]
Cross Multiply
[tex]XY * \sin(45) = 4 * \sin(60)[/tex]
[tex]XY * 0.7071 = 4 * 0.8660[/tex]
Make XY the subject
[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]
[tex]XY = \frac{3.4640}{0.7071}[/tex]
[tex]XY = 4.89888276057[/tex]
[tex]XY = 4.9[/tex] -- approximated
Related Questions
USA test prep please help
Answers
Answer: B
Step-by-step explanation: "Product" is the answer of a multiplication problem, "Reduced by" is to make smaller or less in amount, degree, or size.
An athlete takos 10 rounds of a rectangular park 10 m long and 30 m
wide Find the total distance covered by him.
Answers
Answer:
area of rectangular park is 2(l+b)2(10+30)2×4080m²total distance = 10×80m² = 800m²I need help pleaseee stattt (11 points )
Answers
Answer:
If you were to get a different piece of paper and trace the same shape and flip it over to the same position that one of them is in it will be the exact same measurements!
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (5 points)
{(2, 1), (4, 2), (6, 3)}
{(1, 2), (2, 4), (3, 6)}
{(4, 0), (6, 1), (8, 2)}
{(0, 4), (1, 6), (2, 8)}
Answers
Answer:
Step-by-step explanation:
hmmmm
Answer:
It's D (the last one)!!
complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,
Answers
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Expand and simplify
2(4x + 3) + 4(3x - 1)
Answers
[tex]2(4x + 3) + 4(3x - 1)[/tex]
[tex] = (8x + 6) + (12x - 4)[/tex]
[tex] = 8x + 6 + 12x - 4[/tex]
[tex] = (8x + 12x) + (6 - 4)[/tex]
[tex] = 20x + 2[/tex]
Answer:
8x+6+12x-4= 0
20x+2= 0
20x=-2
20x/20= -2/20
x= -1/10
A veterinarian prescribes Benadryl for a dog with allergies. The recommended dosage is 3 mg per kg per day to be given in two doses. If your golden retriever weighs 67 lbs., how much Benadryl should he get in each dose? Round to nearest milligram.
Answers
Answer:
Each dose should be of 5.05 milligrams.
Step-by-step explanation:
To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.
Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).
Solve the inequality.
p + 14 ≥ 2
Answers
Answer:
p [tex]\geq[/tex] -12
Step-by-step explanation:
Subtract 14
p [tex]\geq[/tex] -12
The solution to the inequality from the information given is p ≥ -12
What is inequality?Inequality shows the relationship between two expressions and this relationship is identified by using the inequality signs (<, >, ≤, ≥).
The solution to the inequality p + 14 ≥ 2 can be determined by having the variables on one side and the numbers on the other side. To do that:
Let us subtract 14 from both sides of the equation we have:
p + 14 - 14 ≥ 2 - 14
p ≥ -12
Learn more about inequality here:
https://brainly.com/question/24372553
#SPJ2
Darnelle has a $10,000, three-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan,
a. What is her monthly payment?
b. What is the total of all her monthly payments?
c. What is the total finance charge?
HELP
Answers
Her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.
What is the expression of simple interest?The expression for the final amount for simple interest is
A = p(1+rt)
Given data
Principal = $10,000
Rate= 5 %= 0.05
Time = 6years (Assume)
A = p(1+rt)
A = 10,000(1+0.05×6)
A = 10,000(1+0.30)
A = 10,000(1.30)
A = 13,000
So the final amount for simple interest is $13,000
To determine her monthly payment
Given that it is spread over 6 years
There are 12×6 months= 72months
So monthly pay = 10000/72 = $180.56
The total of all her monthly payments would be $13,000 which is equal to the final amount.
The finance charge is equal to the interest.
⇒ $13,000 - $10,000 = $3000
So the finance charge would be $3000.
Therefore, her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ5
Find the recipricol of -b/3
Answers
Answer:
-0.333333333
Step-by-step explanation:
Right Triangle Trigonometry
Answers
Answer:
B. 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle = 37°
Adjacent Leg = x
Hypotenuse = 10
Step 2: Solve for x
Substitute [Cosine]: cos37° = x/10Isolate x: 10cos37° = xRewrite: x = 10cos37°Evaluate: x = 7.98636Round: x ≈ 8Step-by-step explanation:
please it my steps to work on paper whorksheet
what percent of 18 is 24? Side info: the answer is not 75% or 133%!!!
Answers
Answer:
133 1/3 %
Step-by-step explanation:
24/18 = 4/3
4/3 * 100 = 133 1/3 %
Missed that 1/3
Answer:
133.33%Step-by-step explanation:
24 is x% of 18, solving for x:
x = 24/18*100% = 133.33%While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?
Answers
Answer:
8571 letters per day
Step-by-step explanation:
60,000/1 week is the same as 60,000/7 days so
60,000/7 = 8571.428571
is aproximately 8571 letters per day
how many half's are in a whole
Answers
1/2 plus 1/2 = 1
Hope this helps and have a nice day!!!
(If it is right don’t forget to mark branliest :) )
Answer:
Two
Step-by-step explanation:
Because 1/2 plus 1/2 equals 1 witch would be the final half to make one whole
How many Rubles are 40 cents? I will give Brainliest to the correct answer
Answers
Answer:
30.34
Step-by-step explanation:
Answer:
40 cents = 30.34 rubles
Step-by-step explanation:
1 us $ is 75.86 RUB ₽
0.40 * 75.86 = 30.34
What is the value of the expression 24/x when x = 8?
Answers
Answer:
Itd be 3 becaus 24/8 is 3
Please I need help!!! The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.18. What is the probability that it will rain on at least four of the
five days they are there? Round your answer to the nearest thousandth.
Answers
Answer:
give me a call when you get a chance can you send me the link to the video is too much for me to do you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car ☺️☺️ good morning ☺️☺️☺️ to be there ☺️☺️☺️ you are teaching until I have a few more questions about the link ☺️☺️☺️ get many you had f I am a little bit of time
Answer:
The sum:0.0049 =0.004. so the answer is 0.004
help please!!!!!!!!!!
Answers
Answer:
x=3
y=5
Step-by-step explanation:
5x+3(0) The y is zero because in the x-intercept the y is zero (same for x)
5/5x=15/5
x=3
5(0)+3y=15
3/3y=15/3
y=5
Does any one knows the scale factor?
Answers
Hey jm correct answer
There are 36 students in Mr. Barrett's math class. If 25% of the students are boys, how many students are girls?
Answers
Answer:
27 of the students are girls
Estimate the square root of 5 to the nearest tenth
Answers
Answer:
Step-by-step explanation:
It's about +- 2.2. It equals 2.236067977 but can be rounded to 2.2. When you square root, the answer could be positive or negative.
The square root of 5 to the nearest tenth is 2.2.
We have to find out the square root of 5 that should be the nearest tenth.
So, the following procedure should be followed:
[tex]= \sqrt{5}\\\\= 2.2360679[/tex]
= 2.2
Therefore we can conclude that the square root of 5 to the nearest tenth is 2.2.
Learn more about the square root here: brainly.com/question/9664917
Find the perimeter of the polygon if angle B is congruent to angle D.
Answers
Answer:
32
Step-by-step explanation:
The sides of the quadrilateral are tangents to the circle.
Tangents drawn from an external point to the circle are congruent
5+5+4+4+3+3+4+4=32
Answer:
32
Step-by-step explanation:
i did it and got it right
how do you spell 20k?
Answers
twenty thousandddd
20k
Answer:
twenty thousand
Step-by-step explanation:
Because you just have to spell it out spell twenty and then thousand.
I need help with mathematics and I have to ask a couple questions about it
Answers
Answer:
Sure. What are the questions?
I WILL GIVE BRAINLY PLEASE HELP!!
1. Determine f -1 (x) for each of the given functions
f (x) =2x-3
2. Determine f -1 (x) for each of the given functions
f (x) = x over x+2
Answers
Step-by-step explanation:
1) f(x) =2x -3
y=2x - 3
x= 2y -3
2y =x + 3
y = x+3 over 2
f(x)^-1 = x+3 over 2
2) f(x) = x /x+2
y= x / x+2
y / y+2 = x
y = (y+2)x
y= xy +2x
y -xy = 2x
y( -x +1) = 2x
y= 2x over -x + 1
f(x)^1 = 2x over -x + 1
Garfield always catches 40% of the total flies that he sees on Monday Garfield saw 60 Total
flies how many flies did he catch
Answers
Answer:
24
Step-by-step explanation:
since 40% of 60 is 24 then the answer is 24 because garfield catches 40% of 60 of the files he sees
The Fruity Tooty company claims that the population proportion for each of its five flavors is exactly 20%. Jane counts 92 red candies in a 400-count sample.
what is the value of the z-test statistic? Answer choices are rounded to the hundredths place.
Answers
Answer:
86.96%
Step-by-step explanation:
s2 = a2 / n
a2 = 4.34782608696 if just 1/1 flavour 400/400 was the case.
We are asked to account for 5 flavours 4.34782608696/5
Z test was 0.86956521739 for red candies
s2 = a2/n
a2 = 0.86956521739/1
s2 = 0.86956521739/1
s2 = 0.87 hundredth place
Percentage 0.86956521739 x 100 = 86.96% to 100th place
I don’t understand this
Answers
Answer:
a
Step-by-step explanation:
Step-by-step explanation:
answer is A, please trust me if I'm right give me brainiest
can u pls help me with this question
Answers
Answer:
i believe the answer is b
Step-by-step explanation:
unit means one
A map has a scale of 2 in. = 25 mi. Town A is 135 miles from Town B. Which equation
can be used to calculate the distance between the two towns on the map?
Answers
Answer:
a. 2/25 =135/x
Hope it helps :)
Step-by-step explanation: