Answers
Answer: [tex]x=5\sqrt{3}, y=15[/tex]
Step-by-step explanation:
[tex]\sin 60^{\circ}=\frac{x}{10}\\\\x=10 \sin 60^{\circ}\\\\x=5\sqrt{3}\\\\\\\tan 30^{\circ}=\frac{5\sqrt{3}}{y}\\\\\sqrt{3}=\frac{y}{5\sqrt{3}}\\\\y=15[/tex]
Related Questions
Determine if the equation is linear,quadratic,exponential, or absolute value Y=x² -5x+6
Answers
Explanations:
Note that any expression of the form:
[tex]ax^2\text{ + bx + c}[/tex]is a quadratic polynomial.
The given equation in the question is:
[tex]Y=x^2\text{ - 5x + 6}[/tex]Comparing the given equation with the general expression I wrote above:
a = 1, b = -5 and c = 6.
Since the given equation takes the form of the general expression, it is therefore quadratic.
Josiah skateboards from his house to school 3 miles away. It takes him 36 minutes. If Josiah's speed, in miles per minute, is constant, what is the constant of proportionality? Type the number that represents the constant of proportionality in the box below.
Answers
13
Step-by-step explanation:
i said 36 divide by 3 is 13
Use the diagram and the given angle measure to find the other three measures
Answers
If angle ∠4 = 29 degrees, then
m∠1 = 151 degreesm∠2 = 29 degreesm∠3 = 151 degreesThe m∠4 = 29 degrees
Part 1
The angles on a straight line add up to 180 degrees.
∠4 + ∠1 = 180
29 + ∠1 = 1180
∠1 = 180-29
= 151 degrees
Part 2
The angles on a straight line add up to 180 degrees.
∠1 + ∠2 = 180
151 + ∠2 = 180
∠2 = 180-151
= 29 degrees
Part 3
The angles on a straight line add up to 180 degrees.
∠2 + ∠3 = 180
29 + ∠3 = 180
∠3 = 180-29
= 151 degrees
Hence, If angle ∠4 = 29 degrees, then
m∠1 = 151 degreesm∠2 = 29 degreesm∠3 = 151 degreesLearn more about angle here
brainly.com/question/28451077
#SPJ1
What is 420÷6 hellllll,lllllllllllllllpppppp I n ee d it now
Answers
Answer:
70
Step-by-step explanation:
It’s 70.
Explanation: Start by setting the divisor 6 on the left side and the dividend 420 on the right:
70 ⇐ Quotient
―――
6)420 ⇐ Dividend
42
--
⇐ Remainder
420 divided by 6 is an exact division because the remainder is zero.
Alexa buys an oil painting online for $941.20. If shipping and handling are an additional 20% of the price, how much shipping and handling will Alexa pay?
Answers
………….….
is 1.030030003 a whole number a natural number an integer a real number a rational number or irrational number
Answers
Real numbers are numbers that are continous on the number line. They include positive and negative numbers. They can be integers, natural numbers, rational or irrational numbers.
In this exercise the number 1.030030003 is a real number because it can be found on the real number line
It is also a rational number because it is a repeating decimal
Use the diagram and the given angle measure to find the other three measures
Answers
The measures of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.So, ∠2 = 34°:
Now calculate other angles as follows:
(1) ∠1:
We can easily tell that ∠1 and ∠2 together make a straight angle which makes 180°. Then,
∠1 + ∠2 = 180∠1 + 34 = 180∠1 = 180 - 34∠1 = 146°(2) ∠3:
∠1 and ∠3 are a pair of vertically opposite angles and thus are equal.
∠1 = ∠3 = 146°∠3 = 146°(3) ∠4:
∠2 and ∠4 are a pair of vertically opposite angles and thus are equal.
∠2 = ∠4 = 34°∠4 = 34°Therefore, the measure of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.
Know more about angles here:
https://brainly.com/question/25716982
#SPJ13
I don’t understand can someone help me? Create a linear equation for the following data:
Answers
Given the data shown in the table, you can identify that these two points are on the line:
[tex](-1,7)(2,-2)[/tex]By definition, the Slope-Intercept Form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
You can find the slope of the line using this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where these two points are on the line:
How is a number squared?Select one:a. Multiplying a number by 4. b. Multiplying a number by itself. c. Dividing a number by 4. d. Dividing a number by itself.
Answers
A number is squared when it is multiplied by itself.
Hence, the correct option is Option B
Using the formula °F = 1.8°C +32°, find the temperature in
Degrees Celsius of an oven that is 500°F.
Answers
Using the formula °F = 1.8°C +32°, The temperature in Degrees Celsius of an oven that is 500°F is 260°C.
What is Fahrenheit?For everyday purposes, Fahrenheit is used in the United States, its territories, and related states (all of which are covered by the U.S. National Weather Service), as well as in Liberia, the Cayman Islands, and other places. For instance, temperatures for freezing, cooking, and other conditions are typically given in degrees Fahrenheit in the United States.
What is Celsius?On the Celsius scale, one of the two temperature scales used in the International System of Units along with the Kelvin scale, the unit of temperature is the degree Celsius. The term "degree Celsius" can be used to describe either a specific temperature on the Celsius scale or a measurement of the difference between two temperatures.
Here,
°F=1.8°C+32°
500°F=1.8°C+32°
1.8°C=468°F
°C=468/1.8
°C=260°C
The temperature in Degrees Celsius of an oven that is 500°F is 260°C by using the formula °F = 1.8°C +32°.
To know more about temperature,
https://brainly.com/question/28957720
#SPJ13
Jessica is trying to save money to set aside for emergencies. she already has $75 and she earns $9 per hour at her family job. how many hours will she need to work to earn at least $500?
Answers
Answer:
Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted. The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.
Step-by-step explanation:
The question is difficult to answer. It doesn't specify that the $75 counts agains the $500. It simply asks how many hours of work does she need to earn $500.
Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula: x hours at :
y = ($9/hr)*x
If we set y = $500:
$500 = ($9/hr)*x
x = $500/($9/hr)
x = 55.56 hours.
However, if we set y = $500 - $75, the Jessica only needs to work:
$425 = ($9/hr)*x
x = $425/($9/hr)
x = 47.222 hours
Tell whether x and y show direct variation. Explain your reasoning.
y - x = 0. Find the value of k
Answers
In the given equation x and y show a direct variation of the form:
y = x
Where the value of k is 1.
Is there a direct variation?
A direct variation between two variables x and y is written as:
y = k*x
Where k is called the constant of proportionality.
Here we have the equation:
y - x = 0
moving x to the right side we get:
y = x
This is a direct variation with k = 1.
y = 1*x
Learn more about direct variation.
https://brainly.com/question/6499629
#SPJ1
x+3/5 + x-2/5
as a single fraction
Answers
Answer:
x+3/5 + x-2/5
simply add variable
x+x +3/5-2/5
2x+3/5-2/5
taking L.C.M
5*2x+3-2/5
10x+1/5
5x+2y=12. Convert from standard form to slope-intercept form
Answers
Answer:
y = [tex]\frac{-5}{2}[/tex] x + 6
Step-by-step explanation:
We want the form
y = mx + b
5x + 2y =12 Subtract 5x from both side of the equation
2y = -5x + 12 Divide all the way by 2
y = [tex]\frac{-5}{2}[/tex] x + 6
PLS HELP!!!
Building an A-frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house and set of plans by searching the net.
A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measurements shown in the drawing and find half of the measurement. Show your work to get full credit!
Answers
The one half of the dimensions of the frame dog house is obtained.
What is termed as the mixed fractions?A mixed fraction is a form of fraction that has both a whole number as well as a fractional part. An improper fraction could also be formed from a mixed fraction. To do so, follow the steps outlined below. Step 1: Multiply the mixed fraction's denominator by the whole number part.Step 2: Subtract the numerator from the product obtained in step 1.Step 3: In numerator/denominator form, compose the improper fraction only with sum obtained in step 2.For the given question, the dimensions of the frame dog house are given as;
Gusset plate:Height = 5 ³/₂ inchesBase = 3 ¹/₂ inchesFloor plate = 47 ¹/₄ inches Thickness = 2 inchesSlope = 45 ¹/₄ inchesConvert the following fraction in improper by the above method;
Gusset plate:Height = 13/2 inchesBase = 7/2 inchesFloor plate = 189/4 inches Thickness = 2 inchesSlope = 181/4 inchesNow, customer has offered to pay extra if you will make one half the size called for in the plans.
Multiply each dimension with 1/2.
Gusset plate:Height = 13/2 × 1/2 = 13/4 inchesBase = 7/2 × 1/2 = 7/4 inchesFloor plate = 189/4 × 1/2 = 189/4 inches Thickness = 2× 1/2 = 1 inchSlope = 181/4 × 1/2 = 181/8 inchesThus, the one half of the dimensions of the frame dog house is obtained.
To know more about the mixed fractions, here
https://brainly.com/question/353115
#SPJ13
5x+3=53
I don’t know pls help
Answers
5x/5 = 50/5
X=10
Answer:
x10
Step-by-step explanation:
How to solve your problem
5x+3=53
Subtract 3 from both sides
5x+3=53
5x+3-3=53-3
Simplify
Subtract the numbers
5x+3-3=53-3
5x=53-3
Subtract the numbers again
5x=53-3
5x50
Divide both sides by the same factor
5x=50
5x=50\
[tex]\frac{50x}{5}[/tex][tex]\frac{50}{5}[/tex]
Simplify
Cancel terms that are in both the numerator and denominator
[tex]\frac{5x}{5}[/tex]=[tex]\frac{50}{5}[/tex]
x=[tex]\frac{50}{5}[/tex]
Divide the numbers
x=[tex]\frac{50}{5}[/tex]
x=10
answer is 10
Which points are solutions to the system of inequalities shown below?
Check all that apply.
y2 x + 3
y< 2x
X>6
A. (8, 12)
B. (6, 11)
C. (7,10)
D. (5, 10)
E. (8, 10)
F. (9,12)
Answers
Solution for the given Inequality
x > 6 : (6 , 11), (5 , 10)
y < 2x: (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)
What is Inequality?
Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.
Let us study each inequality and find the right solutions
∵ x > 6
∴ The x-coordinates of the points are 7,8,9
- That means answer A and D is out because its x-coordinate not greater
than 6 ⇒ (6 , 11), (5 , 10),
∵ y < 2x
∴ The y-coordinates of the points are 10,11,12
- That means all are answers because y-coordinates is
not greater than 2x ⇒ (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)
To learn more about Inequality click on the link
https://brainly.com/question/24372553
#SPJ9
3) {(-7, 1), (2, -9), (-9, −4), (-1, -1), (-8, 0) }
Domain:
Range:
Answers
The range would be: 1, -9, -4, -1, 0
Which transformations do not result in mapping (-k, k) to
(k, - k) ?
A) Reflection in the line y = x
B) Reflection in the line y = -x
C) Reflection in the y -axis, followed by a reflection in the x-axis
D)Translation k units right, followed by a reflection in the y-axis
Answers
The function translation / transformation rules:
f (x − b) moves the function b units to the right.−f (x) reflects the function in the x-axis (that exists, upside-down).What are the types of transformations on a graph?Function transformations specify how a function is moved on a graph and how its shape is altered. Translation, dilatation, and reflection are the three main categories of function transformations.
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations is a typical kind of algebraic problem.
The function translation / transformation rules:
f (x) + b moves the function b units upward.f (x) − b moves the function b units downward.f (x + b) moves the function b units to the left.f (x − b) moves the function b units to the right.−f (x) reflects the function in the x-axis (that exists, upside-down).To learn more about transformations refer to:
https://brainly.com/question/28827536
#SPJ13
What is 102 divided by 105?
Answers
Answer:
102 / 105 = 0.971428571
Step-by-step explanation:
i used a calculator c:
high school seniors in a small town are asked a series of questions to measure the frequency of their drinking and driving. the students give consistent answers to the series of questions, but police records indicate that drinking and driving is much more common than indicated by the students' responses. this suggests that the measure of frequency of drinking and driving is:
Answers
When a study's findings are highly valid, it means that they accurately reflect the genuine features, traits, and variations in the physical or social reality. The measure of frequency of drinking and driving is: reliable but not valid.
What are the measure of frequency of drinking and driving?This option contends that although the survey's measure was not valid, it was dependable. This happens when research is constructed in a consistent but ineffective manner. In this instance, a sample of young people from a small town was taken into account; however, despite its consistency and reliability, it does not accurately reflect the findings of data from police records.
How well a method measures what it is supposed to measure is known as its validity. When a study's findings exists highly valid, it indicates that they accurately reflect the genuine features, traits, and variations in the physical or social reality. High dependability exists one sign of a valid measurement.
To learn more about driving refer to:
https://brainly.com/question/13208171
#SPJ4
Which one of these expressions doesn’t have a value less than 1 please help thank you if u do
Answers
The fourth option [tex](3^{5)^{2} }[/tex]/[tex](3)^{4}[/tex] does not have value less than 1.
What is Power or Exponent?Power of a number is defined as how many times to use the number in a multiplication. We also call Powers as Exponents or Indices. For example, [tex]8^{2}[/tex] could be called “8 to the power 2” or “8 to the second power”, or simply “8 squared”.
Step-by-step explanation:
In first option, [tex]4^{11}[/tex]/[tex]4^{14[/tex], if we solve this, the answer comes out to be 1/[tex]4^{3}[/tex] which will be 1/64 which is 0.015 that is lesser than 1.
In second option, [tex](5^{4)^{2} }[/tex]×[tex]5^{-11}[/tex],if we solve this, the answer comes out to be 1/[tex]5^{3}[/tex] which will be 1/125 which is 0.008 that is lesser than 1
In third option,[tex](2^{3)^{-2} }[/tex],if we solve this, the answer comes out to be 1/[tex]2^{6}[/tex] which will be 1/64 which is 0.015 that is lesser than 1
in Fourth option ,[tex](3^{5)^{2} }[/tex]/[tex]3^{4}[/tex] , if solve this, the answer comes out to be [tex]3^{6}[/tex] which will be 729 that is larger than 1
∴fourth option will be the answer.
To know more about Exponent, Visit:
https://brainly.com/question/219134
#SPJ13
2. How much heat in kilojoules has to be removed from 225g of water to lower its temperature from 25.0oC to 10.0oC?
Answers
Answer:
-14.1 kJ
Step-by-step explanation:
We need the specific heat of water, which is 4.184 J/g-K. It means that 4.184 Joules of energy will raise 1 gram of water by 1 degree Kelvin. It also means that removing 4.184 Joules of energy will lower the temperature of 1 gram of water by 1 degree Kelvin.
We want to lower the temperature by 15 degrees C (-15C). That is also -15K. We have 225 grams of water.
This can be used in the equation q = mc(T2 - T1),
where q is the heat, or energy, m is the mass, c is the specific heat, and (T2-T1) is the temperature change, in Kelvin.
q = mc(T2 - T1)
q = (225g)(4.184 J/g-K)(10K - 25K)
q = (225g)(4.184 J/g-K)(-15K)
q = -14121 J or -14.1 kJ
It is negative because heat is leaving the system.
Find the value of X
Answers
2x+120=180
2x=60
x=30
A rectangular prism is 9 inches long, 3 inches wide, and _____ inches high.
The volume of the box is 324 in.
What is the height of the box?
Answers
Answer:
height = 12
Step-by-step explanation:
try and use the formula to plug it in and solve for x.
2
Select the correct answer.
Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x − 8?
A.
It is the graph of y = x where the slope is decreased by 8.
B.
It is the graph of y = x translated 8 units up.
C.
It is the graph of y = x translated 8 units to the left.
D.
It is the graph of y = x translated 8 units down.
Answers
Answer:
the answer of a question is option A
find h from this help please
Answers
The variable h, as the subject of the given formula is h = 3 / (G.V + 1)
Making a variable the subject of the formulaFrom the question, we are to make h the subject in the given formula
The given equation is
(3 - h) / V = G . h
Multiply both sides of the equation by V
V × (3 - h) / V = G . h × V
3 - h = G . h . V
Add h to both sides
3 - h + h = GhV + h
3 = GhV + h
Factorize h
3 = h(G.V + 1)
Now,
Divide both sides of the equation by (G.V + 1)
That is,
3 / (G.V + 1) = h
∴ h = 3 / (G.V + 1)
Hence, the value of h is 3 / (G.V + 1)
Learn more on Making a variable the subject of the formula here: https://brainly.com/question/20432560
#SPJ1
X - 2 = 3.5 A: 1.5 B: 5.5 C: 5 1/2 D: 5 3/6
Answers
To solve this expression we have to add 2 to both sides of the equation:
[tex]x-2+2=3.5+2[/tex][tex]x=5.5[/tex]So, the correct option is: B: 5.5
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74.
Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form.
Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer.
Answers
18/5 = 3.6 (just divide 18 by 5)
2 4/5 = 2.8 (4/5 = 0.8, so 2 4/5 = 2.8)
97% = 0.97
1.74 is already in decimal form.
Part A:
97%, 1.74, 2 4/5, 18/5
(based on the calculations above)
Part B:
I rewrote the numbers in equivalent forms, in this case the equivalent form being decimal form, to be able to determine which number was bigger or smaller than the other.
A 16 oz pack of green salad costs $2. Find the price of salad per ounce. Also, find the cost of 8 oz, 12 oz, 18oz, and 28 oz packs of salad.
Answers
step 1
Find out the unit price
Divide the total cost by the total ounces
so
2/16=$0.125 per ounce
step 2
Find the cost of 8 oz
Multiply the number of ounces by the unit price
so
0.125*8=$1
Find the cost of 12 oz
0.125*12=$1.5
Find the cost of 18 oz
0.125*18=$2.25
Find the cost of 28 oz
0.125*28=$3.5