Answers
Answer:
1. x = 2√3 or 3.46
2. y = 4√3 or 6.93
3. z = 4√6 or 9.80
Step-by-step explanation:
1. Determination of the value of x.
Angle (θ) = 60°
Opposite = 6
Adjacent = x
Tan θ = Opposite /Adjacent
Tan 60 = 6 / x
√3 = 6/x
Cross multiply
x√3 = 6
Divide both side by √3
x = 6 / √3
Rationalise
x = (6 / √3) × (√3/√3)
x = 6√3 / 3
x = 2√3 or 3.46
2. Determination of the value of y.
Angle (θ) = 60°
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 60 = 6/y
√3/2 = 6/y
Cross multiply
y√3 = 2 × 6
y√3 = 12
Divide both side by √3
y = 12/√3
Rationalise
y = (12 / √3) × (√3/√3)
y = 12√3 / 3
y = 4√3 or 6.93
3. Determination of the value of z.
Angle (θ) = 45°
Opposite = y = 4√3
Hypothenus = z
Sine θ = Opposite /Hypothenus
Sine 45 = 4√3 / z
1/√2 = 4√3 / z
Cross multiply
z = √2 × 4√3
z = 4√6 or 9.80
Related Questions
Use the net as an aid to compute the surface area of the triangular prism.
Answers
Answer: [tex]790m^{2}[/tex]
Step-by-step explanation: See image
How do you solve this problem
Answers
Answer:
V=[tex]8y^{15} ft^3[/tex]
Step-by-step explanation:
The volume of a cube is l*w*h, and since l,w,h are all the same multiply [tex]2y^5[/tex] by itself thrice and use exponent rules, which looks like this:
[tex](2y^5)^3\\(2)^3(y^5)^3\\8y^{15}[/tex]
If this helped, a brainliest would be greatly appreciated!
Jenny has 50 square tiles. she arranges the tiles into a rectangular array of 4 rows how many tiles will be left over
Answers
Answer:
46 hope that helps have a good one
Step-by-step explanation:
9.)Jeanne has 3 7/8 yards of fabric. She needs 1 1/4 yards to make a pair of
shorts. How many pairs of shorts can she make?
Answers
She can make 3 shorts
Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
The total amount of fabric = 3 7/8 yards = 31/8 yards.
Amount of fabric needed to make 1 pair of shorts = 1 1/4 = 5/4 yards.
The number of shorts that can be made = 31/8 ÷ 5/4
⇒ 3.1 so it will be 3 because no relevance of decimal shorts.
Hence "Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric".
For more information about ratio and proportion,
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(5 + x) + 0 = 5 + x
What property is this
Answers
Answer:
The Identity Property of Zero
Step-by-step explanation:
If you add 0 to any number, the result will be that number.
Answer:
Identity of add of addition
Step-by-step explanation:
The sum of 0 and any number is that number
2) Joanna has 58 more Legos than Hot Wheels In total she has 246 toys, How many of each toy does Joanna
own?
Answers
9514 1404 393
Answer:
152 Legos94 Hot WheelsStep-by-step explanation:
Let h represent the number of Hot Wheels Joanna has. Then h+58 is the number of Legos. Here toy total is ...
h +(h+58) = 246
2h = 188 . . . . . . . subtract 58
h = 94 . . . . . . . . . divide by 2. The number of Hot Wheels
h+58 = 152 . . . . . the number of Legos
Joanna has 152 Legos and 94 Hot Wheels.
When you are determining the probability of an event, why must the probability be between 0 and 1? Explain your answer.
Answers
Answer:
The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.
Step-by-step explanation:
hope dis helps ^-^
Answer:
The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.
Step-by-step explanation:
Which number is a solution of the inequality c> 5? Use the number line to help answer the question.
Answers
Answer:
d
Step-by-step explanation:
6.5 is the only number larger than 5
What's the volume of this triangular prism ?
Answers
Answer:
V≈137.48
Step-by-step explanation:
Not so sure
Drag each multiplication equation to show the equivalent of division equation. 51÷n=17
Answers
Answer:
7.28571428571 is n
Step-by-step explanation:
What is the product of all possible digits $x$ such that the six-digit number $341,\!4x7$ is divisible by 3?
Answers
Answer:
80
Step-by-step explanation:
We have the number:
341,4x7
And we want this number to be divisible by 3.
A number is divisible by 3 if the sum of all it's digits is also divisible by 3, then:
3 + 4 + 1 + 4 + x + 7 = 19 + x
Then 19 + x needs to be divisible by 3.
We know that the multiples of 3 (near these values) are:
3*6 = 18
3*7 = 21
3*8 = 24
3*9 = 27
Then if we take x = 2, we have:
19 + x = 19 + 2 = 21
Then:
341,427 is divisible by 3.
if we take x = 5, then:
19 + x = 19 + 5 = 24
Then:
341,457 is divisible by 3.
if we take x = 8, then:
19 + x = 19 + 8 = 27
then:
341,487 is divisible by 3.
Then the values of x such that the number 341,4x7 is divisible by 3, are:
2, 5, and 8.
The product of these numbers is:
2*5*8 = 10* = 80
HELP QUICKLY AND FAST PLS IM GIVING BRAINLIEST!!!
Answers
Answer:
A
Step-by-step explanation:
If 48% of a number, n, is 40.32, what is 20% of n?
Answers
Answer:
Step-by-step explanation:
48% of n = 0.48n = 40.32
n = 84
20% of n = 0.20*84 = 16.8
Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?
O A. 12 months
O B. 48 months
C. 36 months
O D. 24 months
Answers
24 months is the correct answer
Damian will be charged interest for 24 months.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are given that Damian took out a car loan for $10,500 that has a 0% APR for the first 12 months and will be paid off with monthly payments over 3 years.
We know that;
1 year = 12 months
Using this conversion we get;
3 year = 36 months
It means total number of months in 3 years is 36. For first 24 months the APR is 0%. So, the number of months will Damian be charged interest is
36 - 12 = 24
Therefore, the correct option is D. 24 months
Learn more about the unit conversion here:
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Find the value of X
Answers
Answer: x=6
Step-by-step explanation:
Since it is an isosceles triangle, all sides are the same length.
2x=12
x=6
Explanation:
question on picture
Answers
Answer:
V=-89
Step-by-step explanation:
,
Fatima has 50 donuts to sell. Each donut is covered with one topping. 5 are covered with peanuts 15 are covered with chocolate chips 20 are covered with coconut The rest are covered with sprinkles How many donuts are covered with sprinkles?
Answers
Answer:
FATIMA (LOLOLOLOLOLOLOLOLOLOL)
Anyways the correct answer is 10 donuts that are covered with sprinkles
Step-by-step explanation:
5+15+20=40
50-40 = 10
When planning a trip, which of the following is not included in the budget?
A. Security check at the airport
B. Food
C. Lodging
D. Gasoline
Answers
Answer below—-mark me brainliest!!!
It’s A as it doesn’t cost anything to get security checks at the airport. When it doesn't cost anything, it's not included in the plan. Lodging cost money so the person is incorrect.
Hope this helps!
''Security check at the airport'' is not included in the budget for a trip.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We get;
Security check at the airport is not included in the budget for a trip.
Since, The security check is a part of the airport's security measures and is not a cost that travelers have to bear.
However, travelers should consider the cost of transportation to and from the airport when preparing their budget.
And, Gasoline, food, and lodging are common expenses that should be included in a trip budget.
Thus, Security check at the airport is not included in the budget for a trip.
Learn more about the mathematical expression visit:
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slope from graph HELP NOWW PLS
Answers
Answer:
The slope is -1.8
Step-by-step explanation:
Given
The attached graph
Required
The slope
Let each box represents 1 unit on both axis.
So, we have:
[tex](x_1,y_1) = (-3,4)[/tex]
[tex](x_2,y_2) = (2,-5)[/tex]
The slope m is calculated as:
[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m=\frac{-5 - 4}{2 - (-3)}[/tex]
[tex]m=\frac{-5 - 4}{2 +3}[/tex]
[tex]m=\frac{-9}{5}[/tex]
[tex]m=-1.8[/tex]
Your friend creates a ratio table for the ratio 5:3. Is your friend correct?
Answers
Answer:
yes my friend is correct.
Solve for the missing angles in the parallelogram.
X
у
60°
X=
y =
Answers
y= 60 degrees
What is the mean of the data set 85 97 84 88 95 81
Answers
Answer:
88.3 (3 is repeating)
Step-by-step explanation:
to calculate the mean of a data set you add together all the numbers and then divide that by the number of numbers there are, sorry if that's confusing
example:
85+97+84+88+95+81=530
530/6=88.3
Answer:
d .88
Step-by-step explanation:
hope this helps
Harry buys a TV priced at £1200 plus 20% VAT. He pays £300 deposit and the balance in ten equal monthly payments.
Calculate each monthly payment
Answers
Answer:
114 a month for 10 months
Step-by-step explanation:
Use the normal distribution of IQ scores, which has a mean of 110 and a standard deviation of 18 , and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.
Answers
Answer:
110
Step-by-step explanation:
Note that common work styles are listed toward the top, and less common work styles are listed toward the bottom. According to O*NET, what are common work styles needed by Film and Video Editors? Select four options.
aggressive
dependability
attention to detail
social
cooperation
adaptability/flexibility
Answers
flim =dependability
video =social
editors=attention to detail
Answer:
B,C,E,F
Step-by-step explanation:
factorise x^2-x-6 please help
Answers
Answer:
Ask: Which two numbers add up to -1 and multiply to -6
-3 and
2. Rewrite the expression using the above.
(x-3)(x+2)
Step-by-step explanation:
Answer:
x^2-3x+2x-6=0
x(x-3)+ 2(x-3)=0
(x+2)(x-3)=0
x=3,-2
Someone answer and explain ill mark brainliest
Answers
Find the value of x and y in the diagram below.
30°
A. x=9f2, y=9
B. * = 18, y = 9-3
C. *= 9/3, y = 4.5
D. *- 01/3, y = 313
Please select the best answer from the choices provided
Answers
Answer:
C. *=9/3,y=4.5 HOPE IT WILL HELP YOU
Answer: D
Step-by-step explanation: right on edge
what is 0.5×(-0.6) ×0.4= and pls show how
Answers
Answer:
[tex] - 0.12[/tex]
Step-by-step explanation:
1) Solve inside the parentheses.
[tex](0.5 \times - 0.6)[/tex]
2) Simplify (0.5 × - 0.6 ) to -0.3.
[tex] - 0.3 \times 0.4[/tex]
3) Simplify -0.3 × 0.4 to -0.12.
[tex] - 0.12[/tex]
Therefor, the answer is -0.12 .
is this image complementary supplementary or neither
Answers
Answer:
Oops no image
Step-by-step explanation:
Answer:
Hi mate.....can't see the image....pls recheck
Step-by-step explanation: